diff --git "a/data/dm_maths/full_data/10406_11255.jsonl" "b/data/dm_maths/full_data/10406_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10406_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the ath term of -6, -101, -260, -483, -770?\n\"Answer: -32*a**2 + a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**7\/1260 + 11*r**6\/240 + 17*r**5\/180 - 11*r**2 - 27. Find z such that g(z) = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - (-108 + 179 - 116)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 - 8 = 0. Suppose -h*x + x + 5*q + 29 = 0, -3 = -4*x - q. Solve x = -n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0874627 from 1.\nAnswer: 0.9125373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -13 - (4 + 1). Suppose b - a*b = y - 564, -3*y = -9. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 2*c**2 + 6*c. Let o(z) = -6*z**3 - 9*z**2 + 3120 - 6238 + 3*z**2 + 17*z + 3118. Give -3*o(d) + 8*u(d).\nAnswer: 2*d**3 + 2*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 16, m: 2}. Give prob of sequence qmmq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4719*v - 9437*v - 524*v**2 + 4719*v - 51 wrt v.\nAnswer: -1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllxuxxlxxxoxxl. What is prob of sequence olu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (2 - (3 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2572, 10392, 23432, 41692, 65172, 93872?\nAnswer: 127792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 3, -4*i = 3*s - 220. Let t = s - 69. Suppose 3*d**3 - 2*d - 5*d**t + 879 + 4*d**2 - 879 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*b - 0*b, -4*m + 0*b = -2*b + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 429786, 429245, 428704?\n\"Answer: -541*l + 430327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 698941.3 millennia to decades.\nAnswer: 69894130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:46 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322 + 3123013200?\nAnswer: 3123012212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -557\/5 - -111. Let h = -8.76 - -8.96. Let i be (8\/12)\/2 + 1. Which is the nearest to v? (a) i (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000746864 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.5 - -5. Let p = -3 + 2. Let v = 5011.6 + -5012. What is the smallest value in p, v, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 3\/2*u**2 - 1\/4*u**4 + 0*u**3 - 3*u. Differentiate t(c) with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -3*x - 5*p, 0 = p + 2. Suppose 6 = 3*r + x*f, -2*r + f = -3*r + 1. Sort r, -3, 134, 4 in ascending order.\nAnswer: -3, r, 4, 134","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from ppdiifppkdif.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.748934 to two dps.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let z be y(-3). Let u(a) = -2 - z*a**3 + a - 3*a**3 - a**3 + 6*a**3. What is the tens digit of u(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let g(w) = w**3 + w**2 + w - 1. Let h be g(1). Suppose -l + m*j + 4 = -13, 5*l + h*j = 31. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**(1\/7))\/o)\/(o\/(o\/o**(-9)*o*o*o)))**(1\/15))**9 assuming o is positive.\nAnswer: o**(249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-2))\/((-8)\/(-16)). Let v(b) = b + 12. Calculate the remainder when 18 is divided by v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(475) + 4 + sqrt(475) + -4 + sqrt(475) + sqrt(475) + -4 + 3)**2 + -2)*2.\nAnswer: 80*sqrt(19) + 15198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*-5)\/(sqrt(1152) + -2*sqrt(1152)).\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59565 and 1045?\nAnswer: 59565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 + -153. Let f = q - 66. Suppose -25*t + 10170 = -f*t. Round t to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 30*i + 4. Calculate f(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmmmaafffafmmff. What is prob of picking 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -82.\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -v*m + m + 183 = 0. Suppose 0 = 4*s + 5*z - 193, 0*z = 4*s - 5*z - m. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539718668?\nAnswer: 2, 8243, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*f*k**3*u - 2*f*k**2 + 3*f*k + k**3*u + k**3 + 3*k**2 - 145*u wrt k.\nAnswer: 888*f*u + 6*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -120149?\nAnswer: -6007.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192891 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 - 16*s**3 + 9*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/7, 2\/17, 4, -9820?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 146 = -106. Suppose -4 = -4*c - 2*w + 18, 0 = 5*c - w - 38. Solve -d = x - c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 10. Let i be s(-10). Let t(v) = -v**2 + 10*v + 4. Give t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250418629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*j**3*m + 76358*j**3 - 916401*m wrt j?\nAnswer: -24*j**2*m + 229074*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 884.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1962 - -6828. List the prime factors of i.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8322781*b**3 - 6*b**2 + 174426*b?\nAnswer: 49936686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (218\/2)\/(3\/(-9)*-3). Suppose 0 = 4*d + 352 - 92. Let f = p + d. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0.5, 460, 1, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84787.\nAnswer: 84787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/6 + 6*o**3 + 9*o**2. Let f be b(9). Suppose -3*n + 2*n + 2*g + 159 = f, 4*g + 628 = 4*n. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 408*h + 2734. What is d(-7)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.9 + -51.448. Let f = x - 0.452. Which is greater: 161 or f?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940969 minus -0.44?\nAnswer: -6940968.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 365616?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g - 8*g + 16*g. Let x(s) = -2*s**2. Give x(t(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 - 44*t**2 + 101*t?\nAnswer: -40*t**3 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 56*l - 2. What is the least common multiple of n(1) and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-24)*-4 - (-63)\/12. Let z = 183\/28 - t. Which is the closest to -6\/11? (a) 4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 4, 6, 0, -18.\nAnswer: -156, -18, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 239678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/(r\/r**(-1\/14)))\/r)\/r)\/(((r*((r\/(r\/r**6)*r)\/r)\/r*r*r*r)\/r*r)\/r))\/((r*r**4)\/r)**(1\/12) assuming r is positive.\nAnswer: r**(-395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 15. Let t = r - -38. Suppose 5*j + 4*s - 304 = 0, -5*j = -4*s + 3*s - 299. Calculate the greatest common divisor of t and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, t: 2}. Give prob of picking 2 t and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from flfwwfwfnnflwnffnw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (1*sqrt(3)*6)**2).\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287326074 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**22*a**(-1\/4))**(-2\/85) assuming a is positive.\nAnswer: a**(-91\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14255210.\nAnswer: 2, 5, 1425521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20168400 and 77\/1200?\nAnswer: 20168400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-26)\/f)\/f*f**(4\/15)\/f assuming f is positive.\nAnswer: f**(-431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.940501g to tonnes.\nAnswer: 0.000000940501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)*6*-4 + 3)**2.\nAnswer: -576*sqrt(13) + 119817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 - 254 - (-1 + (0 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bkbbkbbkbk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 283619864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(4\/13))*d)\/(d**(-9)\/d)*d\/(d\/d**(3\/10))*d*d\/(d\/(d*(d\/(d\/(d\/d**(-9\/5))*d))\/d)) assuming d is positive.\nAnswer: d**(1743\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*q + 203*q + 206*q - 669*q.\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:03 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -492511*v + 39. Give b(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377436.\nAnswer: 2, 3, 71, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 3*h**2 + 5*h - 3. Let z be c(-6). Suppose 0*x + 5*x = z. Let u = 35 + -34. Solve 3*q - 4 = 2*a + u, 4*a + x = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(11))*-1.\nAnswer: -5*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775925 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*l + 10, 6*f - 2*l = f + 10. Suppose f*g - 8 = -4*g. Solve -g*m + 2 = s + s, m + 2*s + 3 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 225. Let n = 93 - z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1d?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -709021 - 709144 - 47*v - 709145 + 2127310.\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:53 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87431 = -5*r - 7*r + 238079. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 9*x + 8. Let u(z) be the second derivative of z**4\/12 - z**3\/6 + z**2\/2 - 1603*z. Calculate -6*u(r) + y(r).\nAnswer: -3*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Let n(c) = -3*c**2 + 6*c - 7. Let g be n(k). Let j be (-4)\/g + 57\/12. Solve -3 = -4*d + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/12 - 2*1. Suppose -g - s + 1 + 6 = d, -3*g + 1 = -s. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -0.078947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 9 - 31 + 38*p**2.\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 283623840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 15922*q**2 + 95478*q + 143190.\nAnswer: 2*(q + 3)**2*(q + 7955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r**2 - 41*r + 46. Let j(k) = -7*k**2 - 27*k + 30. Let t(i) = 8*j(i) - 5*z(i). What is the remainder when t(-6) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255811317*p**2 + 371717*p - 28?\nAnswer: 511622634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(2\/3)))**(-1\/15)*(s**7*s*s)\/s*s*s\/((s\/(s*s\/(s*s**(-3\/4))))\/s)*s*s assuming s is positive.\nAnswer: s**(2483\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 15. Let w = -3 - m. Suppose k + 2*z - 13 = 0, 4*z + 23 = w*k + 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 3*q - 7*q - q**4 - 2*q**3 + 2*q as v + a*q**3 + c*q + k*q**4 + s*q**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520*q + 522 = -1607*q - 1740 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827 - 63. What is the hundreds digit of (3\/(-2))\/((-3)\/l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*s - 25929 + 3154 = 188*s + 195*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 6*w**2 + 2*w - 16. Let z be m(-4). Let s be ((-3)\/((-42)\/(-4)))\/(z\/14). Sort 0.5, 14, -3, s in decreasing order.\nAnswer: 14, 0.5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303000 + 222222?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*t - 2*t + 2 = 0, 0 = t - 1. Suppose 12*r = 4*r + 32. Is z <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1378242 and 0.33.\nAnswer: -454819.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*z**4 + 4*z - 708.\nAnswer: 204*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -647\/120?\nAnswer: -647\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1881298618 divided by 2.\nAnswer: 940649309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4643 + 4643.09. Let q = -38\/3 + 13. Put 0.1, q, u in increasing order.\nAnswer: u, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 40. Let a = n + -3. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xffffxffxff. Give prob of picking 2 x and 1 f.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*x**3 - 1311*x**3 + 662*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and 0.09349.\nAnswer: -1.30651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 732271*d**2 + 29777342 wrt d?\nAnswer: 1464542*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 412*-330.3\nAnswer: -136083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3 (c) 13\/100 (d) 0.1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zai when three letters picked without replacement from {z: 1, a: 9, u: 1, i: 6}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10814?\nAnswer: 2, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153005*x**2 - 209204.\nAnswer: 306010*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 248.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83575.14g to nanograms.\nAnswer: 83575140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + -142.64. Let s = -0.36 + c. Let n = s - 14.992. Round n to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720431 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 368737903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-337 + -1)) + 5 + -6. Let r = v - 129. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y**2 - 12*y + 21. Give b(4).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivilyyyy. What is prob of picking 1 v, 1 y, and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000096 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326107346*k**3 + k**2 + 3120*k + 2424?\nAnswer: -1956644076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 9304\/(-1330))\/((-7)\/(-35)). Sort -0.2, 0, -2, r.\nAnswer: -2, -0.2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18253725 - 18253725 - 3249*n to the form y + g*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/(-231)*14\/(-2). Is 17 a factor of (-10)\/15*(-1269)\/6 - q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.782 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -49. Sort -4, j, -3.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9691 rounded to the nearest one hundred?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -251, -246, -229, -194, -135, -46?\n\"Answer: v**3 - 2*v - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16923 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1238 or 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5436187*m**4 + 3796122*m**2 wrt m.\nAnswer: -130468488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let p = l - 1. Suppose -2120*j + 6339 = 51*j - 58*j. Solve j*d + 4 = p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262865 divided by -95\nAnswer: -2767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let i be r - ((-9000)\/2)\/1. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 39 = -7*l. Suppose 4*z + 3 = -1, -5*k + l = -5*z. Which is the nearest to k? (a) -5 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -6)\/(-4*1) + 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 34 - 1 - 46 = 0. Let y(q) be the third derivative of -1\/24*q**4 + 1\/6*q**g + 0 - 10*q**2 + 0*q. Give y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277770 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 20. Calculate u(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 9, e: 5}. What is prob of picking 2 n, 1 y, and 1 e?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 divided by 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 6, k: 1, p: 3, t: 2, h: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -2.48. Let r = x + -0.02. Let l = -230\/7 + 33. What is the biggest value in r, -4, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/39 - (-72)\/39. Let w be 0 - (-2 + 1)*d. Solve o + w = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-6)\/u)*u*u))\/((u\/(u\/u**(-8)))\/u)*u**(5\/7)*u*u\/(u\/((u**(3\/5)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -121317 divided by 17331\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5633*x + 7121 = 1604*x + 101202 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -15*m - 1592. Let k be -6 + 9\/((-108)\/m). Let f = -0.02 + -0.06. What is the nearest to f in 5, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 + o**2 + 3*o**2)*(-2*o**3 - 11*o**2 + 0*o**3 + 14*o**2).\nAnswer: 6*o**5 - 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 - -3)*(42\/15)\/7. Is (-15)\/5*1312\/i a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**3 - 5*r**2 + 5*r - 3. Let u(s) = -5*s**3 + 3*s**2 - 3*s + 2. Let a(g) = -4*k(g) - 9*u(g). Determine a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y + 2. Suppose a = -5*s + 97, 2*s - 46 = -3*a - a. Solve 5*c = s - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Suppose r = 2*c + 3*c. Calculate the least common multiple of ((-374)\/(-231))\/((-3)\/(-18)) - 4\/(-14) and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-1)\/((-4)\/(-6)). Let m = 3603 + -3607. Which is the closest to -0.2? (a) u (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93182?\nAnswer: 2, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/455?\nAnswer: -2\/455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m = 70*m - 10579. Sort -1, m, -6 in ascending order.\nAnswer: m, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45144, 6, 2\/205, -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*b**2 + 1)*(75*b**3 - 1031*b + 1031*b) - 4*b + b**5 + 4*b + (-2*b**5 + 2*b**5 - 2*b**5)*(-3 - 2 + 3).\nAnswer: -220*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 - 5*p**2 + 2*p. Let i = 50 + -48. What is the tens digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 2, 89, 3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/(-80)*(-105)\/(-6) and 37\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 48 = 4*h - 5*f, -5 = 5*f. Calculate the highest common divisor of h and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*m**2 + 6007*m - 431588?\nAnswer: 30*m + 6007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33049 by 1600.\nAnswer: -33049\/1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 5*n - 10. Let r(y) = -16*y + 44. Let b be r(3). Determine f(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*2*3\/12. Let l = n + 1. Suppose 12 = q - l*q. What is the least common multiple of 14 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - 304ea05?\nAnswer: -304e9e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let p(b) = 180*b**2 - 38. Calculate l(p(v)).\nAnswer: 360*v**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-1)\/10). Let j be (0 + -1)*(4 - 3) + 77. Let z be 247\/j - 1\/4 - 1. Solve z*i - 7*i - l = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -9. What is the smallest value in g, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1200.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uznuiussnsysuss. Give prob of picking 1 z, 1 u, and 1 s.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301790 = 93*l + 1302999 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3064, -3, -4\/5, 2\/135?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5003, 5, 0, 2, 3 in descending order.\nAnswer: 5, 3, 2, 0, -5003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 19*z**2. Let m(k) = -43*k. Determine m(t(o)).\nAnswer: -817*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 5*n + 2*m + 1, -n + 7 = m. Put -2.3, -5, n in decreasing order.\nAnswer: n, -2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -50710\nAnswer: -50707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 15\/(-6))*46. Let k = 26 - s. Let l(q) = q + 6. Let m be l(-4). Calculate the greatest common factor of k and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 13014 = 7020. Let w = 49 + f. What are the prime factors of w?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2.8, -6, -2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**3 + d**3 - 4*d**3)*((0 + 1 - 2)*(3 + 2 - 3) - 3 + 1 + 4 - 142 - 25 - 156) as v*d + g*d**3 + z*d**2 + w and give g.\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 4, s: 6, i: 3, h: 1}. Give prob of sequence yi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -46. Let n = m - -1. Let y(o) = n*o**2 - 48*o**2 + 28*o**2. Let p(u) = 6*u. Give y(p(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 77 = -180*a + 184*a, -3*a = 2*d + 64 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14) + 764\/14. What is j in -2*j**2 - 13*j**2 + 15*j**5 + 4*j**3 + t*j**4 - 3*j**2 + 17*j**3 = 0?\nAnswer: -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218515 or 5?\nAnswer: 218515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + 104\/(-96). Let v = 22\/21 + n. What is the closest to 2 in v, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, z: 7, k: 2, s: 2, v: 1}. What is prob of picking 1 v and 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 14 = -5*f - 2*x, 4*f - 5*x = -1. Let d be 8\/16 - 262\/f. Suppose 0*q = 3*q - d. Calculate the greatest common factor of 44 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:02 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7178484.47 rounded to the nearest 100000?\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57741078 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-114)\/(-228)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/6841773 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 268899, 532062, 795225, 1058388, 1321551?\n\"Answer: 263163*x + 5736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*y = -3*d + 698, 2*d - 487 = -3*y. Suppose 3*f = 5*f - 2*t - d, 0 = t. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**6\/10 - 3*b**5\/20 + 3*b**4\/2 - 210*b - 52. Let f(j) be the first derivative of t(j). Suppose f(d) = 0. Calculate d.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 238349 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7135 - 4?\nAnswer: -7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(343) + -1 - sqrt(343))*-2 - ((sqrt(343) - -4*sqrt(343)*-4) + sqrt(343) - (sqrt(343) - (3*sqrt(343)*3 + sqrt(343)))))**2.\nAnswer: -280*sqrt(7) + 8591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13\/6))**(-46) assuming q is positive.\nAnswer: q**(299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y + 2*y)*(305*y**2 + 268*y**2 - 545*y**2 - 16*y).\nAnswer: 56*y**4 - 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szxxszxxq. Give prob of sequence qsxs.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.021643m?\nAnswer: 3021643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.45 and -53.8?\nAnswer: -24.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 + 2*t**2 - t. Let q be g(1). Suppose -2*a = -q*a + 24. Suppose 4*i + 2260 = a*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2*j**3 - 5*g**2*j**2 - g**2 + 1325*g*j**3 + 2*g - 1 wrt j.\nAnswer: 12*g**2 + 7950*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36244994 + 36244994 + 30*f**3 - 35*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 390 = -15*k, 5*u + 3408*k + 52 = 3410*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 3. Let f = 19 - p. Factor -t - t**2 - f*t**2 + 6*t**2 + 7*t**2.\nAnswer: -t*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.953 - 0.047. Which is the fourth biggest value? (a) x (b) 0.6 (c) 2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Let u(r) = 5*r**2 + 7. Let o(d) = -3*d**2 - 4. Let q = -17 + 2. Let i = 11 + q. Let b(y) = i*u(y) - 7*o(y). Give k(b(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7\/6)*h*h*(h**(-1\/6)*h)\/h)\/((h\/h**(-7))\/(h\/h**(2\/9))) assuming h is positive.\nAnswer: h**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9009390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 4*i + 7. Let n be y(-6). Let d(u) = u**3 + 8*u**2 + 8*u - 8. What is the remainder when 75 is divided by d(n)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 2*v**3 + 1 - v + 9 + 8 as d + y*v**3 + b*v + q*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.371 - -0.214. Let k = n + 0.15771. What is k rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 51. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 3*m**2 + 7*m + 7. Let z be 47\/(-9) + 10\/45. Does 11 divide d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6000 + 6003. Solve -w + 2*u = v*w + 12, 5*u = w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -15. Let x = m + 18. Solve x*p - 4*a = 2*p + 12, -a = 4*p - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 5*j - 28 = 0, -3*j = -2*w + 20. Suppose 69 + 71 = w*z. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 + 157695416*y\/5 - 1554240264213316\/5.\nAnswer: -4*(y - 19711927)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 669, 467, -2 in ascending order.\nAnswer: -7, -2, 467, 669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.077? (a) 1 (b) -4 (c) 0.04 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8296452*f**4 + 9228279*f?\nAnswer: 99557424*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21923424 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = r + 3*r + 2*f, -5*f = 3*r + 22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7495 + -22420\/3. What is the common denominator of r and (-2)\/(-7) + (-27)\/(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*b - 40*b - 45*b)*(-5 - b + 5)*(0*b**2 + 3 + b**2 - 2) in the form l*b**2 + w + s*b**3 + m*b + i*b**4 and give i.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 15*a + 2. Let y(u) = -u**3 - 5*u**2 - 30*u + 5. Determine 5*g(s) - 2*y(s).\nAnswer: 2*s**3 - 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 8*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 34*z - 300. Solve 474*v - z = 479*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 463*c**5\/60 + 271*c**4\/24 - 204*c**2. Find the second derivative of y(x) wrt x.\nAnswer: 926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let l(c) = 521*c + 1. Give i(l(o)).\nAnswer: 2605*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(2\/1)*((-6322)\/87 + 57)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 119*c + 148*c + 89*c - 60*c - 59*c as m + h*c and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**6\/3 + 8*v**5\/5 + 5*v**4\/2 + 4*v**3\/3 + 11. Factor r(q).\nAnswer: 2*q**2*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(1*sqrt(64))\/sqrt(2) - (sqrt(384) + (sqrt(384) - 3*sqrt(384)))\/(sqrt(147)*-4).\nAnswer: -86*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -6.47.\nAnswer: 6.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 163349*j**2 - 4*j**5 - 161869*j**2 - 3500 + 9*j**4 + 1900*j + 152*j**3 - 23*j**4 - 14*j**4.\nAnswer: -4*(j - 7)*(j - 1)*(j + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let u(z) = z**2 - z + 1. Let d(i) = -10*i**2 - 2*i + 9. Let r(t) = d(t) - 2*u(t). Let v(s) be the first derivative of r(s). Give b(v(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/4015 + 5471\/8030. Calculate the common denominator of j and -93\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + q - 1. Let g be p(1). Suppose g = -5*u + 60 - 20. Suppose -3*k + u*k = 240. What is the greatest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*l + 0*l - 2*l)*(0*l + 0*l + 2*l)*(-1850*l + 3576*l - 2210*l).\nAnswer: -1936*l**3 - 1936*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*d + 26*d - 14*d = 1254 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7836 + -7813.512. Round a to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1\/64316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -1. Let i(u) = -2*u**2 + 3*u. Let k be i(j). Let x(n) = 4*n**2 + 3*n. Let o(r) = r**2 + r. Determine k*o(p) + x(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -31.13. Let k = -2.87 - l. Let u = k + 3.5. Put -0.1, 3\/8, u in descending order.\nAnswer: u, 3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 18 = 2*s. Is -33 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*x = 24, 2*o - 6 = -x - 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 81, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 4. Let a be v*-5 + (6 - 5). Is a at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 12 - (12 + -47 + 19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 26101740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -59 + 9 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.65807 litres in millilitres?\nAnswer: 69658.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 divided by 2012.\nAnswer: 34\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 988.0882 years to millennia.\nAnswer: 0.9880882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 40*d = 24 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 14425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170.225 - 2.325. Let k = v - 168. What is the nearest to k in -3\/13, 1, -4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56863558 divided by -10?\nAnswer: 28431779\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22541, -22525, -22507, -22493, -22489, -22501, -22535, -22597?\nAnswer: -22693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 11*f - 15 = 5*i, -2*f - i + 9 = 0. Solve -4*q + 16 = 2*a + a, 4*q - 24 = -f*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = 0, -3*p - 3*d = -8*d + 26. Let v = p - -11. Suppose -v*j + 0*j + 68 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 132. Suppose 2*f + f + g = 0. Let t = 90 - f. Calculate the remainder when t is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {x: 2, d: 1, e: 2, m: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(1 - (-2)\/(-4))*2. Suppose -5*h + m + m + 35 = w, 4*h - 40 = 4*m. Solve 1 = -s + h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3608*h**2 + 2*h - 1. Let g be t(2). Suppose -6*r + g = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 6. Solve -5*b + 0 - 17 = 2*f, -5*f + u*b = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2 + 1. Let s = y + 50. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2336525 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26660.\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1797318 (base 11) to base 4.\nAnswer: -23212102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -4 + 10 + (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83324 and 592?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, f: 1}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wogwommgooowojomm. Give prob of picking 2 m and 1 o.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 232. What is the units digit of (-4)\/(-10) - r\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.774 rounded to two dps?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502*s**3 - 508*s**3 + 2*s**2 - 8*s**2.\nAnswer: -6*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:41 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1376?\nAnswer: -1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 3. Let i(u) be the second derivative of 5*u + 3\/2*u**2 + 0 - 2\/3*u**3. What is 5*i(l) - 6*z(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5444628 to the power of 1\/2, to the nearest integer?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 at most -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 14*a, 2*h + 358 = -a + 370. Let f be (-2)\/8 - (-22)\/(-8). Put f, 3, -4, a in increasing order.\nAnswer: -4, f, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 - 5*g - 5. Let b be v(7). Suppose -12 = -4*w + h, -4*w = w + 2*h - 2. Suppose -5*z = -w*z - b. Does 4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -59*s + 239. Let l(n) = 30*n - 118. Let m(t) = 3*a(t) + 7*l(t). Differentiate m(o) with respect to o.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3090*u**2 + 2*u - 9*u**3 - 3090*u**2.\nAnswer: -9*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -2, 0.4, 0.2 in ascending order.\nAnswer: -3, -2, 0.2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(-2)\/((-12)\/(-9)). Let f be ((-1)\/(-12))\/(a\/24). Suppose 0 = 2*z - 3 + 1, 3*z = -v + 4. Is f at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1295580 and 5764.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8208492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(-1\/5))**(-4\/29)*y**11*y*y\/(y**0*y) assuming y is positive.\nAnswer: y**(1684\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - -16a081?\nAnswer: 16a0bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + -11 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2762480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 19*n = 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = -d + 3, -3 = -d + o. Let x = -7 + 16. Factor i - x*i**2 + i + d*i**2.\nAnswer: -2*i*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195846 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57342366?\nAnswer: 2, 3, 103, 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 15*t**3 - 15*t**2 - 5*t.\nAnswer: -5*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032970341 to 7 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -5679989.6\nAnswer: -567998.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 4. Let u(l) = l**2 - 11 - r - 9*l + 6. Let b(n) = -n**2 + 4*n + 7. Let x(p) = 9*b(p) + 4*u(p). What is the derivative of x(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 231\/(-209) + (-4)\/(-38) + 1*-13. Sort 5, -1, 4, 3, z in decreasing order.\nAnswer: 5, 4, 3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1425940, 2852083, 4278226, 5704369?\nAnswer: 7130512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -304859 (base 10) to base 6\nAnswer: -10311215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirriiiriiimcrr. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-45)*((-90)\/78)\/(3 - 2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555315917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r**3 + 2*r**2 - 8*r - 3. Let s be w(-6). Suppose -s = 3*k + 1143. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -0.2. Let g = r - -0.4. Let k = -3.04 + 0.04. Is g greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0*(-3)\/9*-1. Let a = 9 - 4. Suppose -4*d + 5*d + 2*f = 20, 3*d - 42 = 3*f. Solve a*k + 5*t - 29 = d, x*k + 13 = 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135.33 + 133.33. Let b = 7 + -5. Let u = 3 - b. What is the closest to t in 0, u, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 15. Let u(o) = -11*o + 8*o - 11*o - 3 + 0 - o**y. Let j(d) = -d. Let z(g) = -6*j(g) + u(g). Determine z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ce13 (base 15) in base 9?\nAnswer: -240710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -269648 + 408090. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1991435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**(-50)*(z\/((z*z\/z**(4\/5))\/z))**(-1\/43) assuming z is positive.\nAnswer: z**(-139754\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8452*d**2 + 8458*d**2 + 55*d - 16912*d**2.\nAnswer: -2*d**2 + 55*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, 12, 7, 5, 358 in descending order.\nAnswer: 358, 12, 7, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 - 10*v**2 - 13*v**2)*(-19 + 0 - 4 + (-1 + 2 - 3)*(-5 + 0 + 4)) as m + a*v + g*v**2 and give g.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q*q*(q*q**2*q)\/q)\/(q**(3\/7)*q\/(q**(-1\/3)*q*q)*q) assuming q is positive.\nAnswer: q**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18484*p**2 - 9*p + 7797*p**2 + 7*p + 6103*p**2 + 12092*p**2)*(0*p - 2*p + p) to a*p**2 + o*p**3 + r + z*p and give o.\nAnswer: -44476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let v = -328\/5 - -66. Let f = 115183 - 115181. Sort -2\/5, i, v, f in descending order.\nAnswer: i, f, v, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + -44770?\nAnswer: -44712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(0 + 3 + 0) - 4 - 3*d + 1 + 2.\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -110961\nAnswer: -33288.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94*(4 - (-36)\/(-8)). Let z = -19 - q. Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 929*z**3 - z**2 + 930*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*m - 0 - 12, -2*x + 5*m = 6. Let r be x\/(-9) + (-329)\/(-63). Suppose 36 = -d + r*d. What is the greatest common divisor of 72 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212010211010 (base 3) to base 6.\nAnswer: 13432433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -262769.082702 + 0.0216\nAnswer: -262769.061102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 181985895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.44873s in microseconds?\nAnswer: 36448730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1206.6 to the nearest ten.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27257 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37101*n - 12458*n - 8217*n - 8218*n - 8210*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91271\/22 + -4145. Let v = -6 - -7. What is the common denominator of g and -3 + ((-183)\/24)\/v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1260 + 6169. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02327 - 0.00322. What is w rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.880574ml?\nAnswer: 0.006880574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 39*j - 203. Let x be p(6). What is the highest common factor of 1271 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244207\/57 - -18 - (-2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 6*q**4 - 5*q**3 - 73*q**2 - 12*q = 0.\nAnswer: -3, -1\/6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 2*p - 1202. Suppose -p*h + 524*h - 679 = 0. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/2881*8\/(-16)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 18. Let r = -3 - -13. What is the lowest common multiple of a and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28177, -28176, -28175, -28174, -28173, -28172?\nAnswer: -28171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 2 + 8)*2. Suppose -a - 5*c + 300 = 0, 3*a - 3*c = -f*c + 948. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125412201 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = 70. Let k be 6\/a + 144\/42. Suppose -k*w = 0, -3*q - q = w. Solve -2 = -2*p, -2*p = -t - q*p + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*s)*(-4*s + s + s) - 254*s**2 - 1963*s + 7 + 411*s**2 + 1964*s.\nAnswer: 151*s**2 + s + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*c - q, c + 2*q - 6*q = -2. Suppose -5*z = o - 2*o + 7, 0 = -c*o - z + 3. Factor 2*x**5 + 6*x**3 + 1 - 1 - 2*x**o - 6*x**4.\nAnswer: 2*x**2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 10*t + 4. Let y = -743 + 753. What is q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81, -334, -749, -1320, -2041, -2906?\n\"Answer: m**3 - 87*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 67 = 3*f - 41, -2*f - 3*l + 72 = 0. Suppose -7*o + f = -3*o + 4*s, -2*s = -2*o - 2. Calculate the lowest common multiple of 96 and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8313, 6731, 5149, 3567?\nAnswer: 1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g + 3. Let f = 4 - 8. Let t(a) = -5*a - 1. Determine f*i(c) - 11*t(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 91 + 2\/(-1) + 3 + -2. Let q = 92 - k. Sort 1, -5, q, 4 in decreasing order.\nAnswer: 4, q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 10*v - 9. Let d be o(-11). Differentiate -13 + 18 + 5*w**2 + w**d with respect to w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 28478, 6?\nAnswer: 28478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61140137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 11*i = 0. Suppose i = 14*f + 6*f - 720. Calculate the lowest common multiple of 20 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101409 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*j + 68 = 5*z - 135*j, 2*j = 5*z - 63 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 = 14. Suppose w*s - s - 24 = 0. Let g(l) = 5*l**2 - l. What is the remainder when g(-2) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*x = -6, -2*g = -5*x - 0*x - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1442 - 973. Does 44 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, 19, -0.033, 8, 0.4 in increasing order.\nAnswer: -23, -0.033, 0, 0.4, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 1. Let j(z) = 11*z**2 + 6*z - 17. Calculate -j(c) + 6*t(c).\nAnswer: -5*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and -62529345 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*h + 38 - 20, 5*h = 4*z + 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10338784*s**3 - 2296016 with respect to s.\nAnswer: -31016352*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 19\/(-2). Let c = h - -4. Let b = -108 + 199. What is the highest common divisor of c and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300\/136 + (9 - 3850\/425).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 74 = -70 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 36402.\nAnswer: 182010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216964?\nAnswer: 2, 11, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 641144.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwww when four letters picked without replacement from cccccwccccwcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 2, a: 10, o: 4}. What is prob of sequence oo?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, 2*h - 353 = -2*l + 761. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Let t(m) = -2 - m + 2*m + 18 - 3. Give t(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-6))\/4)\/(510\/1836)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1224 and 106947?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 44*g**2 - 132*g + 1535. Give c(-40).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 - 12 = 0, -7 = 5*j + 3*r. Let b(k) = 192*k - 1. Let q be b(j). Suppose 269 + q = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a factor of 47853597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4372469*d**2 + 7815680?\nAnswer: -8744938*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -367*t - 52196. Determine v(-143).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -500*f**3 + 5400*f**2 - 19440*f + 23328.\nAnswer: -4*(5*f - 18)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (6 + 2 - (22 - 19))) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 12*l + 13*l as i*l + m and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -6*g**4 + 5*g**2 - 27 - 6*g**4 - 8*g**3 + 13*g**2 + 13*g**4 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1044281141*1\nAnswer: -1044281141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + -3 + (-1 - (26 - 15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atfattttfartrrftatft. What is prob of sequence rr?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/24 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 8*h + 2*h + h**2 as c*h**2 + n + i*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 239, -1, 2 in decreasing order.\nAnswer: 239, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*c**5 - 10*c**3 + c**2 - 213*c?\nAnswer: -1560*c**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 76 + 72 - 2*g. Let c(n) = 1. Let y = 3 - 4. Let p(d) = -d - 3. Let w be p(0). Calculate w*c(t) + y*m(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8\/289223 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*y - 58*y + 26*y - 5 wrt y.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001871 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-53)\/(2 + -3))\/1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -63. Let m = f + 57. What is the derivative of -10 + 10*g**m - 19 - 10*g**2 + g**3 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.08 + -34.92. Let d = p - -36.105. Round d to 2 decimal places.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7))**(4\/3)\/((((o**(-1\/9)\/o*o)\/o)\/o)\/o**(-25)) assuming o is positive.\nAnswer: o**(-1430\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174996 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -172*b**3\/3 - 329*b - 96. Differentiate p(f) wrt f.\nAnswer: -344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1075 + -859. Is s a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30 + 0 + -2)*1. Let l be w\/6 - (-2)\/6. Let z(d) = -d + 7. What is z(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/4 + 26*j**4 - 1785*j**3\/2 + 9800*j**2 + 42875*j\/4.\nAnswer: -j*(j - 35)**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -7. Which is the fourth smallest value? (a) -0.5 (b) i (c) 0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-43 - -24) + 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*h + 21 - 641*h + 312*h.\nAnswer: -44*h + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -6, -4, -1973, 2 in decreasing order.\nAnswer: 2, -4, -6, -82, -1973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:28 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100444 or 100435?\nAnswer: 100435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2*x**6\/15 - 36*x**5\/25 - 31*x**4\/5 - 68*x**3\/5 - 16*x**2 - 48*x\/5 + 342. Suppose b(k) = 0. What is k?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*u + 19 = 0, -u - 17 = -4*s - 0*u. Let p(t) = 1 - 2*t - s + 5. What are the prime factors of p(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -7*b**3\/8 - 8952791*b**2\/4 - 639485*b = 0.\nAnswer: -2557940, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = 0. Suppose 4*t + y*t = 20. Suppose -4*o - 3*p = -47, 3*p = -t*o - 12 + 70. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/5*x**2 + 107\/5*x + 3\/5*x**3 + 6.\nAnswer: (x + 2)*(x + 15)*(3*x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 4, h: 1, j: 10}. What is prob of picking 1 x, 2 n, and 1 h?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -18*x**2 + 34. Let d(c) = 7*c**2 - 12. Let b(u) = -17*d(u) - 6*m(u). Let i(q) = -2*q**2 + 55. Calculate b(i(v)).\nAnswer: -44*v**4 + 2420*v**2 - 33275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89600513 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let o = -0.11 + 1.11. Which is the nearest to o? (a) p (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7645 is divided by 239?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.36 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (20 - (30 + -21)) - 39\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13081, 13082, 13083, 13084, 13085?\n\"Answer: k + 13080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.397796 plus 2826?\nAnswer: 2825.602204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302978088?\nAnswer: 2, 3, 7, 601147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*m - 2*n, 3*n + 11 = -4. Suppose -56*a + 52*a + m = 0. Calculate the least common multiple of 284 and a.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -9, -0.1, 1\/4, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1811*y**2 + 6 - 8 + 141*y + 1809*y**2 + (4 - y - 4)*(-y - y + 4*y) in the form h*y**2 + z + q*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2286 and 5896662?\nAnswer: 2246628222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(4\/7))\/q*q*q**(4\/9))\/(q**4*q*q*q**(6\/5)) assuming q is positive.\nAnswer: q**(-1993\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539) + -1.\nAnswer: -1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 - 367. Let g = -148.3 - c. Round g to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -0*r. Let u = 0.6 + -0.4. Which is the third smallest value? (a) u (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.75. Let p = -0.89 - 1.11. What is the closest to y in -4, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*n - 2*l, -4*n - 1 + 5 = -4*l. Suppose -2*y + n*k + 1228 = 0, -3070 = -5*y - 0*y + 4*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/2 of a minute?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26737 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.227 - -0.927. Put 4, 5, k, 12 in decreasing order.\nAnswer: 12, 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7070164 and 580588.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 6*a**2 - 58*a**3.\nAnswer: -58*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:33 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/6*(-41 - 10)\/(-17). Let h(y) = y - 5. Let j(z) = -z + 5. Calculate s*j(t) - 6*h(t).\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouu when three letters picked without replacement from {u: 9, m: 3, d: 2, o: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*y - 24 = 0, -2*v = -3*y + 7*y - 16. Is (10\/105*7)\/(v\/2694) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -15.7, 5\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1240 - 3?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 150?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 90*v. Let h(f) = -2*f. Give d(h(p)).\nAnswer: 8*p**2 + 180*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 3*p\/5 + 2.\nAnswer: -(p - 2)*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7238, -1, 1, -1\/6, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(-2 + -1*sqrt(432) + 5)*-1 + -1)**2.\nAnswer: -10080*sqrt(3) + 63433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -7*w**3\/6 - 3*w**2 + w. Suppose 0 = -4*d - 8, -3*c + 2*d + 8 - 22 = 0. Is u(c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 273?\nAnswer: -273.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u**2*u))\/(u\/(u\/u**(-1\/13))))**(5\/12) assuming u is positive.\nAnswer: u**(-85\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5 + (-5)\/(25\/10)). What is the closest to 0.3 in -5, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let k(y) = 317855*y**2. Give d(k(j)).\nAnswer: 317855*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Suppose k*y = 7*y - 15. Let m(t) = 2*t + 11. Let a(w) = -6*w - 26. Let n(j) = -3*a(j) - 7*m(j). What is n(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-3 - (0 - 1)). Let j be r\/(-9)*27\/6. Let z = -42 - -41. Sort z, j, 2 in decreasing order.\nAnswer: 2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3138 and -59\/66.\nAnswer: 34518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g + 24. Give b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:02 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -8. Suppose -m = 3 - 30. What is the remainder when m is divided by d\/(-24) + (-122)\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/288 and 37\/1512.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 + 5 - 5 + 5 + (2 + 0 + 0)*(-3 + 1 + 1) + 5 + 1 - 5)*(-r**2 + 6*r**2 + 0*r**2) + 117 - 117 - 23*r**2 to b*r + z*r**2 + p and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 2*w**2 - 2*w**4 + (26 - 3*w**4 - 26)*(3 - 1 - 3).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - (-30 + 11) - -1)) + 10 + -101.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1811183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Let a(o) = o**3 - 5*o**2 - o. Let d be a(y). What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/5 + 267*n**3\/5 - 18443*n**2\/5 + 205509*n\/5 - 108756 = 0.\nAnswer: 4, 9, 95, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.19020393 and 5\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290117 - 200*o**2 + 290117 + o - 3*o.\nAnswer: -200*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at least as big as 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + 2*c)*(2*c + 4*c - 4*c)*(18 - 8 + 15).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*d = -4*f + 1947, 3*f + 2*d - 1169 = 0. What are the prime factors of f?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -h - 159, -m - 2*h - 3*h + 11 = 0. Suppose 0 = -5*a - 141 + 31. Let o = m + a. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 4. Let l = -2 - u. Factor -n**3 + 0*n**2 - 2*n**l + 0*n**3.\nAnswer: -n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -592*k**2 + 207*k + 1339. What is the first derivative of g(u) wrt u?\nAnswer: -1184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 5)*(6 - 4 + 0 + 7 - 1 - 3 + (-2 - 4 + 4)*(-3 - 1 + 2))*(1 + 2 - 2)*(-14*o - 191 + 191).\nAnswer: 126*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t = 4*p - 1990, 0 = -4*t + 8. Suppose 0 = 4*s - 4*a - p, a = 5*s + 2*a - 595. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:09 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-140))\/(3\/(-84)*4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75379759181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*t - 1, 4*t = -6*n + n + 13. Suppose 0 = 5*j - 4*o + 4 + 4, 4 = 2*o. Suppose -q + 3*q = j. Solve q = -5*w + 4*a + 2, -5*a + n = -9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416859848 divided by -2318?\nAnswer: 179836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/2 + (-5921)\/(-837). Which is the closest to -2.6? (a) -4 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/10 - -1)\/((-10)\/(-50)). Solve a*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -578, -575, -570, -563, -554, -543?\n\"Answer: g**2 - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 13*m - 12. Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 2*u**3 + 3*u**3 + 0*u**2 - 7 - 6*u**3 - u**2 to d*u**2 + j*u + x + w*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = 63 - 51 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1179 and 2096?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 15) in base 13?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*z + 20*z - 9*z**2)*(0 + 2*z + 0) - z**2 + z**2 + 2*z**3 - 2*z**3 + 2 - 2 + (2*z**2 - 4*z**2 + 3*z**2)*(4 - 4 + z).\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*z + 36 = 0, -2*f + 4*z = f - 41. Is f less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*399\/456*(-6)\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 3*h + 282. What is the least common multiple of i(-18) and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10897623?\nAnswer: 3, 11, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d + 147*d - 805 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -47, -58, -73, -92, -115, -142?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047580530.\nAnswer: 2, 5, 204758053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 164 - 45 + 0*y**2 + 101.\nAnswer: 3*y**2 + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5\/8 + 1635*l**4\/4 - 253257*l**3\/8 - 128265*l**2\/4 = 0.\nAnswer: -1, 0, 85, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 51, 0.123, -1\/2, -2?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -4, -0.6, -4.9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-85)\/(1*(21\/42 - (-6)\/(-4))). Let z be ((-3)\/6)\/(6\/(-204)). Calculate the greatest common factor of z and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**3*u**3 + 1139*b**3*u**2 + b**3 - 865*b**2*u**3 + u**3 - 12*u**2 wrt b.\nAnswer: 72*u**3 + 6834*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 68*y**2 - 5*y - 27. Let j be (-36)\/(-30) + 1\/5*-1. Let c(x) = -x - 1. Let m(a) = j*r(a) - 5*c(a). Differentiate m(d) with respect to d.\nAnswer: 136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let h(u) be the second derivative of u**3 + 14*u. Give q(h(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 169, 10, -5, 3, -4, 140 in ascending order.\nAnswer: -5, -4, -3, 3, 10, 140, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16006+-0.07405981\nAnswer: -16006.07405981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/8 + (-1)\/(-4). Let z = 34 + -26. Let c be (-4)\/(-6)*(z + (-2)\/1). Solve o = -c*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a*a**(4\/9)))*a*a*a)\/(a\/(a**(-5)\/a)))\/(a**12*a)**(2\/3) assuming a is positive.\nAnswer: a**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -l + 17, -3*l = 232*w - 210*w + 173 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(1\/3))\/q)**(-1\/26)\/((q**(-2\/3)*q)\/q)**(-27))\/((q\/q**1)**(-2\/33))**(3\/19) assuming q is positive.\nAnswer: q**(-703\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 115*j + 2115. Determine g(16).\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1532*u + 66*u**2 - u**3 - 29 + 29 + 24*u**2 + 99*u**2 wrt u?\nAnswer: -6*u + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = 7. Suppose 8*a - 4 = z*a. Let t(v) = v**2 - 2*v + 1. Give t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 15 = 4*p, 0 = 6*p - p + 2*s + 22. Suppose -5*o = -0*q - q - 12, 0 = -2*q - 2*o + 24. Let u be (-2)\/(3*q\/6). Sort 0, p, u in increasing order.\nAnswer: p, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -124?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 10, -6*a - 1936*s + 1932*s + 106 = 0 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-4\/27))**(1\/5) assuming l is positive.\nAnswer: l**(4\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = -b - 1, 0 = -4*g - 5*b - 2. Let o be -2 - (7 + -1 + g). Let s = o + 23. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -55.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c - 11. Let v be u(-1). Suppose v*l - 2872 = 3*g - 8*g, 4*l = -8. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*n - 30 = -90, 5*n - 237 = -4*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*(-14)\/21*-24*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {s: 1, g: 2, t: 3, u: 4, j: 1, n: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/51)\/9*1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 154200405 (base 6) to base 5\nAnswer: 1320002441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - -11)\/(3\/(-24)). Let o be (-90)\/40 - 1\/(-4). Let z be (o - -3)*-1*4. Sort z, w, -3, 1 in ascending order.\nAnswer: w, z, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 5*o**2 + 2*o + 997. What is the hundreds digit of g(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12184350.163 rounded to the nearest ten thousand?\nAnswer: 12180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36432*k**6 - 45*k**2 + 78*k wrt k?\nAnswer: -4371840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 411259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 3. Suppose -3*x - 5*t + t = -24, t = 0. Suppose 2*n = -2*n + x. Let p be l(n). Solve p + 14 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*i - 15, 4*f - 4 = 7*f - 23*i - 16*i - 97 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/56*140\/(-25)*(-2)\/3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h - 4 - 58*h + 30*h + 9 - 7.\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -62\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/3)\/((432\/45)\/(-8))*108\/(-120)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and 95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 7*c - 7*c)*(-206 + 292*c + 102 + 102) in the form l*c**2 + d + b*c and give l.\nAnswer: -2920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47402523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.9 + 18.97. Let r = 6.04 + c. Let h = r + -0.81. What is h rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.073 and -1.4534.\nAnswer: -0.1060982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (2 - (-57)\/(-3)). Let t be (6\/b)\/(1\/5). Does 7 divide t*3\/(12\/34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 117, 121, 127, 135?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3824042 by 2.\nAnswer: -1912021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 252291597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1964 - (54\/72 + 13\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 2343*y**3 + 1188*y**3 + 1154*y**3.\nAnswer: -y**3 - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 3 - 3*n)*(4 + 0 - 3)*(-1292 + 661 + 664) in the form t + k*n and give t.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 - -6150?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3167*p + 31*p**2 - 3167*p.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 225\/10 - (-1 - (-6)\/(-12)). Solve 2*k - 4*x + j = 0, 6*k + x + 16 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356875812 and 59479302?\nAnswer: 356875812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 11*b - 1. Suppose 311 - 11 = 5*f. Suppose -4*k + k = -f. Calculate the remainder when d(15) is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:21 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 + 3*o**2 - o - 2. Determine b(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -853*s**3 + 5*s**2 - 9*s + 179. Let q(v) = 855*v**3 - 6*v**2 + 10*v - 180. Let x(k) = -6*n(k) - 5*q(k). What is the second derivative of x(j) wrt j?\nAnswer: 5058*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -26. Find the common denominator of ((-696)\/(-72))\/(g + 42\/15) and ((-4)\/(-6))\/(320\/1308).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25451.\nAnswer: 31, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.6593nm in centimeters?\nAnswer: 0.00004066593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -r + 28, -5*r + 5*g = g - 20. Solve 32 = r*v - 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + (sqrt(8) - sqrt(128))*1).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -20.3, 151 in decreasing order.\nAnswer: 151, 0.08, -20.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/104 + 17\/100\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a + 3*a - 78. Solve -4*v + 11 = -4*f + a*f, -4*f - 5*v + 19 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v)\/(v**(-5)\/v)*v**(-5)\/((v*v**(-2\/3)*v*v*v)\/v*v) assuming v is positive.\nAnswer: v**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 513.7099941673 + -513.71. Round h to seven decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3*v*z**3 - 2*t**3*v + t**3*z**3 + 6*t**2*z + 3*z**3 with respect to v.\nAnswer: t**3*z**3 - 2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 4*q**2 + 0*q - 1\/270*q**5 + 7\/108*q**4 - 4\/9*q**3 + 3. Determine u so that a(u) = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:45 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*-1 + (21 - 20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z**3 + 1014*z**2 - 7829*z - 15. Calculate f(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8*b + 3*b = -123, 5*o = -5*b + 205. Let f be ((-196)\/6)\/1 - (-24)\/(-72). Let q = f + o. Solve -q = -r + t, 2 = 4*r + 5*t - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 divided by -199.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -5, 0 in ascending order.\nAnswer: -5, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(13) - (sqrt(1872) + (sqrt(1872) - -2*sqrt(1872) - sqrt(1872))).\nAnswer: -37*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/2 (b) 0.2 (c) -1.3 (d) -3\/7 (e) -0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12 - 30\/(-9). Which is the closest to 0? (a) u (b) 3\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttftfttt. What is prob of picking 2 t and 2 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4098.246 millennia to years.\nAnswer: 4098246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*2367873\nAnswer: 2367873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -5*a - 6, -3*t - 2*a - 6 = -5*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 14*n + 1. Let q be x(-14). Suppose -t + 0*t = -q. Which is smaller: t or 5\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -56. What is the closest to -0.1 in 17, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**2*h))\/h)\/h**8)\/(h*h*h\/(h*h\/(h\/h**(1\/2))*h))**(-2\/31))\/(((h\/(h*h\/h**(5\/6)*h))\/h)\/h**0*h**(-2\/13)*h*h**6) assuming h is positive.\nAnswer: h**(-37835\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 15 = -8. List the prime factors of ((-459)\/5 - (-1)\/(-5))\/y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 16*a - 6. Let x be o(-15). Suppose x = 2*t + t. Solve -t*f + 7*f = 3*b + 26, 2*b + 9 = f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {t: 2, a: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16227619 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -7*a + 2*a - 74, 3*a = 5*p - 37. Let h = a - -7. Let j(v) = v**3 + 8*v**2 + 4*v - 6. List the prime factors of j(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1\/5 + 6\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -17 - -40 - (-62642 - -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6) - -1)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-7 + 166\/12 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 613300 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 41909920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*g**3 - 43*g**3 - 11*g**3 + 0*g**3 - 19 - 27*g**3 wrt g.\nAnswer: -324*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1560\/130)\/(40\/(-180))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*n + 199*n = -186. Solve -1 = 2*d + h - n*h, -13 = 5*d - 2*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11550, 11383, 11216, 11049?\nAnswer: 10882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a66 (base 12) in base 9?\nAnswer: 56766","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 111102211110?\nAnswer: -111102220001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 240783 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 17 + 33. Sort 3, h, -1, 0 in decreasing order.\nAnswer: 3, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -96. Let a = s - -30. What is the biggest value in a, -2\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c + 26. Let w(z) be the second derivative of z**3\/3 + 5*z**2\/2 - 5*z. Give 3*r(y) - 16*w(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 9*l**5\/4 + 33*l**4\/2 + 21*l**3\/4 = 0.\nAnswer: -7, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 761218 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 8*u - 2*a + 10 = -5*u + a, 0 = 4*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 2*x - 11*x = -240 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 16 + 5 - 4)*((2*j - 2*j - 2*j)*(7*j - 12*j**3 - 7*j) + 1 + 4*j**4 - 1 + 13*j**4 + 20*j**3 - 20*j**3).\nAnswer: 697*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078\/(-294)*(-18)\/2*(-5)\/(-20)*4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + x - 3, 3*k - k - 2*x = 14. Let n be ((-360)\/(-108))\/(5\/6). Suppose k*c + n*z = 44, -z = -3*z. Calculate the remainder when c is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**5 + 3*s**5 + 4*s**5)*(-2 + 3 + 2)*(3 - 2 - 5 + (2 - 4 + 0)*(3 - 4 + 0)) - s**4 + s**4 - s**5.\nAnswer: -19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 + x + 7. Let m be o(-3). Let c be m - (2 + -4 + 4). Is (c\/(3 - -1))\/1*634 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6760 take away -0.1?\nAnswer: -6759.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130775384 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -758220*-2.\nAnswer: 1516440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = 32*a - 152 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 4*x**2 + 4927 - 2*x - 5008 in the form y*x**2 + m + r*x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 15*d + 328 - 6*d + 37*d - 9*d. What is the smallest common multiple of n(-25) and 22?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6426715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 117, 228, 327, 408, 465, 492?\n\"Answer: -z**3 + 118*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2176*t**2 - 5*t - 1564. Let d(z) = 2179*z**2 - 4*z - 1566. Let w(l) = 5*d(l) - 4*v(l). Differentiate w(j) with respect to j.\nAnswer: 4382*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/90 + 2*h**3\/15 + 28*h + 62. Let g(d) be the first derivative of i(d). Find y, given that g(y) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 17*x**2 - 14*x + 16. What is m(3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6620 = -3*s. What is s rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*b**3*o**2 + 3875*b**3*o + 34*b**2*o**2 - 2*b**2*o - 2*b**2 - 27*b*o**2 + 9*b*o - 2*o**2 wrt o?\nAnswer: -48*b**3 + 68*b**2 - 54*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6))\/h**(-1\/4)*(h*h**(-1\/5))\/h*h**3)\/((h*h**0*h*h**(2\/5)*h)\/(h**(-2\/7)*h**(-4))) assuming h is positive.\nAnswer: h**(-1349\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364246902.\nAnswer: 2, 3, 29, 232597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 161325966 divided by 3?\nAnswer: 53775322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/w**(-3))\/w*w**(-2\/11))**(2\/93))**(-3\/5))**28 assuming w is positive.\nAnswer: w**(-2352\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a week in hours?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m + 2*m + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*k - 573 - 2041 - 3099 = 52*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -2) + 330\/30. Suppose f = -3*o - 2*f + 15, -n*f = -15. Solve -c + 6 = r, 0 = 5*c - 2*r - r + o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -s - 0*s + 4*b, 4*b + 49 = 3*s. What is the remainder when 75 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 43. Let t = j + 22. Sort 3, t, -2.\nAnswer: -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 31. Let j = -6 - -6.4. What is the biggest value in a, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*s + 3 - 5, 4*s + 28 = 4*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2977136*u**3 + 1489209*u**3 + 1489006*u**3.\nAnswer: 1079*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 35013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 4*b + 4*b)*(b + 2*b + 5*b)*(3 + 2 - 4).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, 4.\nAnswer: -23, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161\/5 + 127\/10. Let t be 430\/((-1)\/(3\/(-9))). Let q = -1139\/6 + t. What is the common denominator of q and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcd when four letters picked without replacement from uucdu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -772 + 2427. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in years?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 18*l**2 - 157*l + 8. Give r(7).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2\/3, 1\/2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5623*r**2 - 3956615 + 3956615)*(-2*r + r + 2*r) in the form f*r + m*r**3 + q + k*r**2 and give m.\nAnswer: -5623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2) + (-8)\/(-2). Sort q, 4, 0 in increasing order.\nAnswer: 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/393, -1129, -4\/9 in ascending order.\nAnswer: -1129, -4\/9, -4\/393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.988 + -34. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 70*j**2 - 23*j - 2. Let m be g(23). Let w(i) = -i - 4. Let q be w(-4). Let p be q\/2 + 48\/(-88). Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 15. What is the remainder when 97 is divided by (-2 - -1)*-1*p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 9881756?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**0*m**(11\/5)*m*((m\/m**(-12))\/m)\/m*m**(-1\/2) assuming m is positive.\nAnswer: m**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 86 - 95 = 3*q, -8 = 2*m + 5*q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrgj when four letters picked without replacement from jjgjkkgrknkgjgjggj?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1646)\/(-3))\/(172\/774) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-234))\/((-9)\/(-828)*-1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 4*n)*(n - 6 + 6) + (0*n - n - n)*(1 - 2*n - 1).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1818*l - 1. Let w(s) = 2*s. What is y(w(f))?\nAnswer: 3636*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/23000 and 93\/500.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*5 + -13 + 10920\/14?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80429?\nAnswer: 80429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-12)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - o**2 + 4*o**3 + 3*o**3 + 7*o**2 + 3361 - 6*o**3.\nAnswer: o**3 + 9*o**2 + 3361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(7))*-2 + 5)**2*2*3.\nAnswer: -636 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 t when three letters picked without replacement from cccttccc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*w + 88 + 195 - 90 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + (1 + sqrt(96)\/sqrt(2))*2*1)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 9879297 = -23*i + 3*r, -2*r - 9879302 = i. Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/20 + f**4\/3 + f**3\/3 + 304*f. Let y(x) = x**3 - 9*x**2 - 5*x. Determine 2*y(t) + 5*z(t).\nAnswer: -3*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*b = -15, -23*b - 35 = -4*l - 26*b. Solve -2*v = -l*f, 2*v - 26 = -2*f - 40 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37216?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:38 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -827, -1646, -2435, -3182, -3875, -4502, -5051?\n\"Answer: 2*v**3 + 3*v**2 - 842*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253, 338, 433, 544, 677, 838, 1033?\n\"Answer: h**3 - h**2 + 81*h + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {o: 2, p: 2, z: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 164723.3 hours?\nAnswer: 593003880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-746)\/(-120) + (26\/(-12) - -2) and -39\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1735?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -2. Let t(a) = 0*a + c*a - 2*a. Let h(i) = 1862154*i**2 - 1 + 1 - 1 - 1862152*i**2 + 3. Calculate h(t(k)).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:04 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2942 + -2936. Let q(s) be the second derivative of 0*s**2 + 1\/21*s**4 - 2\/105*s**w + 9*s + 0 + 0*s**3 + 0*s**5. Suppose q(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723 (base 11) in base 12?\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01911 + 3482442.\nAnswer: 3482441.98089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 4 (b) 2 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 50*k + 370. Let s(i) = -16*i - 116. Calculate 10*s(h) + 3*y(h).\nAnswer: -10*h - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450*-98.1004.\nAnswer: 44145.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i**2 - 3*i**2 + 3*i + 11 - 36*i + 29*i**2. Does 20 divide r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-81) - (-123)\/(-9) - (-1 + -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 413031 (base 7) to base 13\nAnswer: 2622c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13384 - 9.1?\nAnswer: -9.23384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/26*(-2)\/(-5). Are 6\/11 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279 + 559. Let b(c) = 8*c**2 + c + 1. Let j = -55 + 57. Let k be b(j). Calculate the greatest common factor of k and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 8. What is f(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58\/14 + (-21)\/147 - -88 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -17 + (-10 - -22)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 7*d + 6. Suppose -35 = -5*a - o, 5*a - 4*o - 2 = 8. What is the smallest common multiple of 15 and h(a)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 417 in 7, -14, -0.2, 1\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + sqrt(13) + ((sqrt(13) + sqrt(13)*1*-1 + sqrt(13))**2 - sqrt(13)) + sqrt(13)) - (-4*sqrt(39)\/sqrt(3) + (-4 + 1 + sqrt(13))**2).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d**2 + 1032*d + 8. Let g be i(-43). Solve -3*j + o = -1 + 7, -4*j = 5*o + g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37226, -74619, -112012, -149405, -186798, -224191?\n\"Answer: -37393*j + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = -8. Suppose t = -p*t + 400. 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: Solve 5*n + 28 = 33 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**2 + 53479128338 - 53479128338.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*j**2 - 772*j**2 - 8*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (4 + -15)*-2 + 2. Let w(k) = -54*k + 28*k - f*k - 31*k. Let o(l) = -l**2. What is w(o(m))?\nAnswer: 79*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 0.2, -3\/11, -2\/3, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -818, -1, -3, -2\/13, 2\/3 in increasing order.\nAnswer: -818, -3, -1, -2\/13, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2)\/6)\/(-4 + 2870\/720)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2\/9, 47733, -2\/3 in decreasing order.\nAnswer: 47733, 2\/9, -0.03, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:31 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0153 (b) 2\/5 (c) 5 (d) 2 (e) -34190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**8\/560 + h**7\/70 - h**6\/20 + h**5\/10 - h**4\/8 - 5*h**3\/6 + 10*h. Let w(d) be the second derivative of p(d). Factor w(m).\nAnswer: -3*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3bbab + -5?\nAnswer: 3bba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*g**3*n**3 + 11*g**3*n**2 + 2*g**3*n + 12*g**2*n**3 + 2*g**2*n**2 - g*n + 2*n**3 - 3*n wrt n?\nAnswer: -144*g**3 + 72*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -863.1604 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/3*((-88)\/(-16) - 7). What is the second smallest value in -5\/4, -5, 4, c?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 11*v - 6. Let i be c(-9). Let n be (-4)\/(-6) - 32\/i. Let w(q) = -14*q**2 - 5*q**2 + 14*q**n. Let y(r) = -r. Determine y(w(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/2 + 4*t - 22. Let u(m) be the third derivative of 0*m + m**2 + 1\/12*m**4 + 0*m**3 + 0. What is b(u(r))?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 4. Let j(x) = 2*x - 2. Let m(a) = 6*a - 6. Determine c*m(v) + 16*j(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 64 + 23*b - 58 + 26*b to n + p*b and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 2. Let k = -28 - -18. Let p(q) = -q**3 - 9*q**2 + 9*q - 9. What is the remainder when a(-2) is divided by p(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**2 + 4*i - 4. Let q(j) = -28*j**2 + 11*j - 11. Calculate 17*o(s) - 6*q(s).\nAnswer: 15*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 12 - (-1 - 1). Suppose -2*f = -15 + 53. Let h = r - f. Calculate the remainder when 35 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Let u = -23.1 - -19.1. What is the biggest value in -3\/5, u, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -7\/3*l**3 + 0 + 13*l + 0*l**2. Let i(j) = j. Determine i(a(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -1, 3, 5, -5 in increasing order.\nAnswer: -5, -1, 3, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 6*l - l + (2*l - l + 0*l)*(-2 + 1 + 3))*(-4 + 1 + 4).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21526 and 213886.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232992*j + 6895389.\nAnswer: 232992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200210021000 (base 3) to base 11.\nAnswer: -566123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:14 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 17, l: 3}. Give prob of sequence rr.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7345.\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -4. Let c = 1231\/3 + -411. Sort -4\/3, f, c, -2\/13 in ascending order.\nAnswer: -4\/3, c, -2\/13, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.7048842 + 26240558.7048842. Let n = -26240574.999919 + b. Let g = n - -22. Round g to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28447397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/6 - 5*u**2\/2 + u. Let n be 1 - (-7 + 3)\/(-4). Determine o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/54*8\/(-80))\/((-5)\/(-940)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 7047228*v.\nAnswer: 3*v*(v - 2349076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -845 - -841. What is the closest to 3 in -3, 6\/5, z, -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -c - c, -2*n = -5*c - 28. Suppose 0 = -4*y - 25 + 9. Calculate the remainder when (28\/(-6))\/(y\/6) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/(((-9)\/(-90))\/(1\/(-7)))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 54. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2060697130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 times -14?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/870 and 73\/1347050?\nAnswer: 4041150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -4*j - 110. Suppose -5*g - 2*g = -j. Calculate the greatest common divisor of g and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from nnbennbnnn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*l + 12 = 0, -16 = 2*w + 2*l + 3*l. Suppose -w*a - 5841 = -5*a. Suppose 0 = 3*m - a - 2250. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023358 kilograms in grams?\nAnswer: 23.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(11\/4)*c)\/c**(1\/16) assuming c is positive.\nAnswer: c**(59\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 2*p + 2. Let f = -19 + 30. What is the lowest common multiple of b(2) and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/29, -765 in increasing order.\nAnswer: -765, -5, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 1. Let b be f(-3). Let r(v) = v**2 - 9*v - 4. What are the prime factors of r(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 + 1003?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165\/14 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*w**2 + 9*w**2 + 2*w**2)*(3 - 3 + 2*w**2) - 3*w**4 + 0*w**4 + 4*w**4 + (-2*w**2 + 0*w**2 + 3*w**2)*(3*w**2 + 0*w**2 + 2*w**2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:46 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 318400 to the nearest one thousand.\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 1. Let f(y) = -10*y**3 + 5. Give -2*f(b) - 10*k(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*m + 2*m**2 - 258*m - 5*m**2 + m**2 + 3*m**2 + (2*m - m - 2*m)*(0 + 0 - 2*m) + 50*m**2 - 49*m**2 + 89*m**2 to the form f*m**2 + w + j*m and give f.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 2628.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o**3 + o**2 + o - 1. Let f be m(1). Let g be 4\/f + 33\/(-27). Let h = -7 - -12. What is the nearest to g in -1\/5, h, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542.8083l to millilitres.\nAnswer: 542808.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4095 and 40846624.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(300))*1 + -5) - (-3 + sqrt(300) + (sqrt(300) - (sqrt(300) + -3)) - (sqrt(300) + (sqrt(300) + sqrt(300)*-3)**2*5)).\nAnswer: 10*sqrt(3) + 5993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/117 + ((-4)\/(-6))\/(936\/674317116) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 547, 932, 1677, 2902, 4727?\nAnswer: 7272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose 2*w + 18 = -4*h, 0 = h - g*h + 4*w. Let z(j) = 85*j**2 - 40*j**2 - 6*j - 42*j**2 + j**3 - 4. Determine z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12514075163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523832 is divided by 3829.\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.154 + 0.046. What is the nearest to -2 in -5, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -11554507.\nAnswer: 12\/11554507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2 - 30\/(-10). Suppose 5 = -a + b*a. Suppose -3*g - 5 = -3*p + 4, 5*g - a = p. Solve 0 = -5*w + j + 1, 5*w + 6*j - g*j - 21 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 7, m: 1}. What is prob of sequence cimc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 0*d**5 - 2*d**5 + (-d**4 + d**4 - d**4)*(-5 - 2*d + 5) - 2 + 0 - 38*d**5 + 4*d**5.\nAnswer: -35*d**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2324, -9289, -20920, -37235, -58252, -83989, -114464?\n\"Answer: -3*g**3 - 2315*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*(246\/2214)\/(5\/(-9))*53?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:41 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-7 - (-9 - 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.89178223 minus 8?\nAnswer: -20.89178223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**3 + 335*z**2 + 5440*z - 5780 = 0. Calculate z.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**5\/3 + 14725*j**4\/3 + 174870*j**3 + 956190*j**2 - 10989405*j + 19243035 = 0.\nAnswer: -2909, -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-28518)\/16)\/1)\/(-1). Let q = r - 1779. Find the common denominator of q and ((-2)\/(-24))\/((-1)\/206).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and 27525922.\nAnswer: 30278514.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 152. Suppose 3*w = -4*j + 747, -391 = 32*j - 34*j + w. Calculate the highest common divisor of j and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.01 (b) 22\/7 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 10 - 10.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.1475l in millilitres?\nAnswer: 838147.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 + 0 - (2 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 3*r + 196 + 53 - 139, -5*f = -f - r - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.5. Let x be ((-4)\/65)\/((-6)\/(-15)). Which is the biggest value? (a) x (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let d(n) = 2 - 2 + 5 - 2 - 2*n. Calculate d(t) - 2*u(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:55 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 20 = 0, 4*j + 3 + 21 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/16)\/(5\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 3557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 300387106 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2 - 6 + 1 - 3*p**2 + 8*p**2. Let s(o) = 46*o**2 - 12*o**2 - 11*o**2 - 21*o**2. Calculate s(k(c)).\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + g - g + (-1 + g + 1)*(2 + 0 + 0))*(2 - 2 - 2*g**4).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 12*c**2 + 13*c - 7. Let i(v) = v**3 + 4*v**2 - 19*v - 39. Let o be i(-6). Suppose 13*p - 140 - o = 0. Determine r(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:07 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azhahr. What is prob of picking 1 h, 1 r, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31487.\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - 11*o + 9. Let c = 15 - 32. Let n = c + 21. What is the units digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:24 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**22*f**(1\/11)*(f*f*f\/f**(-6\/19))**25 assuming f is positive.\nAnswer: f**(21942\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 128. What is the greatest common factor of w and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(234) - (sqrt(234)*-1 - sqrt(234))) + -3*(sqrt(234) + (1*sqrt(234) - sqrt(234))))\/((1*sqrt(1200))\/(sqrt(30)\/sqrt(5)*-3)))**2.\nAnswer: 9477\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-5)*(-15)\/(-9)*174\/116.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439339.3ml in litres?\nAnswer: 439.3393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b78582 (base 12) to base 13.\nAnswer: -25c0c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose -3*q + q = l. Which is the second biggest value? (a) q (b) 0.1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 18*p**2 - 162*p - 486.\nAnswer: -2*(p + 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l + 5*l. Let c(r) = 28*r**2 + r**2 + 26*r**l. Let x(h) = h. What is x(c(s))?\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v)**(4\/5)\/(v**(1\/17)\/(v*v*v**4)) assuming v is positive.\nAnswer: v**(556\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9. Let b be 5\/2*c*-6. Let g be (-25)\/b - 1*2. Is g bigger than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605725577 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 218228, 218504, 218780, 219056, 219332?\n\"Answer: 276*q + 217952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 10734419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:19 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 177. Does 90 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 89*c**3 - 5*c**2 - 17*c - 4. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6088, 24811, 55992, 99631, 155728, 224283?\nAnswer: 305296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 1035*z**3 - 274393*z**2 - 3380265*z + 3655694.\nAnswer: -(z - 1)*(z + 14)*(z + 511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b - 1. Let n(t) = -53*t**3 + 2*t**2 - 3*t + 2. Let d(u) = 3*j(u) + n(u). Let c be (-130)\/40 - (3 - 52\/16). Is d(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73437581*x**2 - 4*x - 108*x**3 - 73437581*x**2.\nAnswer: -108*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 108. Suppose 3*k - 900 = -a*r, -r + 4*k + 325 = -0*r. List the prime factors of r.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1))\/(((-9)\/44)\/((48\/(-64))\/1))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f + 5 + 7. Let k(q) = 3*q**2 + 2*q + 1. Let o be k(f). Are 1 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116310176.9999948 + -116310154. Let d = -1 - 22. Let c = q + d. What is c rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174 + -137. What is the greatest common factor of 296 and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1504, 2981, 4436, 5863, 7256, 8609?\n\"Answer: -m**3 - 5*m**2 + 1499*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 49.1. Let l = 43.1 + d. Let r = l + -49.4. Put 1\/6, 0.5, r in decreasing order.\nAnswer: 0.5, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9075 and 132.\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27822)\/4)\/(648\/(-432)). Which is bigger: t or 4634?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171733067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 + 9.3. What is the nearest to -2 in g, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49168 equal to -49170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 20*m + 49. Let c be g(23). Let i = -34 - c. Let r(d) = 3*d**2 + 4*d + 9. Is r(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 18. Calculate the lowest common multiple of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 3*f - 2. Let l be (-3)\/(-6)*-2*8. Let m(b) = b + 11. Let s be m(l). What is d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhchnhhhhncnnhn. What is prob of sequence chnh?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -9*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.089 in -12.7, 32, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - ((-25)\/5 + 4). What is the second smallest value in -0.2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504607100 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 72 = -16*g. Solve 4*c = -3*t + g + 11, 2*c - 2*t = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1835823 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 413556085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 5*a - 31. Calculate m(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - 3*n + 19*n to the form k + j*n and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 350.0117 nanograms?\nAnswer: 0.0000000000003500117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61851 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966 is divided by 1321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -691.146+3141874\nAnswer: 3141182.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 6*m + 5. Let u be a(-3). Let p = u + 49. Let s(i) = -i + 6. What is s(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97 - 948*i**4 - 618*i**4 + 393*i**4 + 445 wrt i?\nAnswer: -4692*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 349 + 253 - 275*p**3 in the form k*p**2 + o + s*p + l*p**3 and give l.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 6\/6)*-2. Suppose -5*g = -4*v + 863, -o*v + v - 3*g + 654 = 0. What are the prime factors of v?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -4 + sqrt(1100) + 3 + sqrt(1100) + 5 + sqrt(1100) + -1 + sqrt(1100))**2*3.\nAnswer: 900*sqrt(11) + 82527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969.6202 millilitres to litres.\nAnswer: 0.9696202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 18*u**2 - 17*u - 36. Let q(l) = -l**3 + 3*l**2 + 4*l + 7. Let b be q(2). Give m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105 from 0.1316.\nAnswer: -104.8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1587194*3\nAnswer: 4761582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1585*i + c + 1 = -1583*i, 8*i - 7*i = c + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2538510 is divided by 110?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -5 - 2) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 68389.74um?\nAnswer: 68389740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064755 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 39*r**2 + 66*r + 62. Determine t(-9).\nAnswer: 2627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -2*j**5\/5 + 577*j**4\/4 + j**3 + 3454*j**2 + 10461. What is the second derivative of m(o) wrt o?\nAnswer: -24*o**2 + 3462*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 5. Let v be i(3). Let b = 13 + v. Find the third derivative of -2*r**b - r**6 + 3*r**2 + 6*r**6 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + r - 3. Calculate l(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {q: 4, z: 1, l: 1, o: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d - 12. Let j be x(8). Let m = -11 + j. Suppose 5*k = 4*c - m, -6*c + 4*k = -3*c - 18. What is the least common multiple of 1 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 28*b + 3*d - 30 = 0, -d = 2*b - 26. Let j(s) = 4*s**2 - 7*s - 1. Let u be j(5). Calculate the greatest common divisor of b and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8 - -12. Let s = -151.5 + 151. What is the nearest to 0 in o, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 71. Suppose 5*j - 8*j = -f. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:22 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 434485223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 165*g - 164*g + 0*g**3 + g**3. Suppose 0 = -5*k + 2*k + 2*a + 4, 3*k + 8 = -4*a. Let z be j(k). Solve -12 = -5*w + 3*b + 4, z = 4*w - 5*b - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38709)\/(-9384)*32\/(-6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-20))\/(-53) + 9\/(-4)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 19, 48, 89, 142?\n\"Answer: 6*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.401 + 0.401. What is the third smallest value in 323, h, -2?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1872*r + 26534. Give y(14).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1287*m**2 + 0 + 0 - m - 2672*m**2 + 1454*m**2.\nAnswer: 69*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.5 + 17. Let f be 24\/(-10)*2\/(-6). Put h, -4, 0, f in increasing order.\nAnswer: -4, h, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108, -200, -306, -432, -584?\n\"Answer: -o**3 - o**2 - 82*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozoz when four letters picked without replacement from {o: 3, z: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 + 170403 - b**3 + 2*b**3 - 2*b**4 + 7*b - 170402 to the form f*b**2 + p + t*b + w*b**4 + c*b**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 300*l - 44. Let a(j) = -4*j**2 - 299*j + 66. Let n(k) = -4*a(k) - 6*r(k). What is u in n(u) = 0?\nAnswer: -302, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2027 (base 10) to base 16\nAnswer: 7eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2. Suppose 0 = j - 5. Let s(b) = -50 - j*b + 50. Give r(s(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674078.\nAnswer: 2, 3, 7, 23, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/92455642 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:55 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -42. Suppose 1 = s - 2*d, 2*d - 4 = -4*s - 0*d. What is the least common multiple of -2 - s - n - 4 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 910*c**4*m**2 - 62*c**2*m**2 - c*m**2 - 3*c*m - 10*m**2 + m - 15 wrt c?\nAnswer: 10920*c**2*m**2 - 124*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 338068, 338185, 338302, 338419?\n\"Answer: 117*c + 337951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mj when two letters picked without replacement from mnbpjln?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 8*n**3\/3 + 2741*n. Let s(f) = -30*f**2. Give s(y(i)).\nAnswer: -7680*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 42 = -5*u - 3, -q - 3*u - 7 = 0. Let t(m) be the third derivative of -1\/36*m**4 - 1\/90*m**q + 0*m**3 + 0 + 0*m + 8*m**2. Factor t(f).\nAnswer: -2*f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*x - 160 + 62 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 66*x - 99*x - 74*x + 48*x.\nAnswer: -178*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22 and -35\/7088006.\nAnswer: 77968066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, c: 5, e: 4, f: 1, w: 5}. Give prob of sequence mw.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9679178.7ms?\nAnswer: 0.11202753125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728 (base 9) to base 10.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21004 and 5?\nAnswer: 105020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.459241 and 0.5.\nAnswer: 1.7296205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 4.2119.\nAnswer: 21.0595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**4 + 0 + 0)*(0 - 2 + 4) + (2*r**3 + r**2 - r**2)*(-4 + 1 + 2)*(3*r + 29*r + 0*r) as j*r**3 + x*r + o + a*r**4 + l*r**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.321 + -6.321. Suppose -4*k + y = -3, 2*k + y = -3*k - 3. Let x = 0.2 + -0.1. Which is the closest to x? (a) k (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 355*k**3 - 347*k**2 - 30*k + 3700 wrt k?\nAnswer: 2130*k - 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**3 - 96*p**2 + p + 19. Let h be u(-16). Solve 4*c - 7 = -h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let z = -87\/119 + 10\/17. Is z <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*z - 217, 5*z - 5*m = 117 + 108. What is the highest common factor of 10148 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*d*y**3 + 2939*d*y - 240*d - 2*y**3 - 3156*y**2 + 333*y + 6 wrt d?\nAnswer: -8*y**3 + 2939*y - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by -43?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9157\/17 + -539. Let w be -1*-1*(-5)\/(-15). What is the smallest value in q, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52*o - 247*o + 69*o)*(2*o**2 - 3*o**2 + 0*o**2) to the form q*o**3 + x*o**2 + l*o + j and give q.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9642 = -4*o + 2654. What are the prime factors of o?\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(((-135)\/(-6))\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/12 + 2*k**3\/3 - 3*k**2\/2 - 5*k. Let g be 1\/(-3) - 2\/3. Let x be g\/(-5) + (-9)\/(-5). Calculate n(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1802563+-1822\nAnswer: 1800741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2. Suppose -22*g + 12 = -24*g. Let v be ((g\/(-3))\/2)\/(0 + 1). Let u(m) = 8*m**3 + 10*m**2. Calculate v*u(k) - 10*p(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -94682.\nAnswer: 94681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*j = 254*j + 264*j. Let c(k) be the third derivative of 1\/280*k**6 - 1\/70*k**5 + j + 0*k**4 - 3*k**2 + 0*k**3 + 0*k. Suppose c(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, o: 4, n: 1, d: 1}. Give prob of sequence cnc.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 79135*y. Let d(l) = 8801*l**2. Give d(h(g)).\nAnswer: 55114926728225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-1)*(-2)\/(-6). Let v be (-191)\/(-7) + z\/(-56). Let c = 278 - 197. Calculate the highest common divisor of c and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:42 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 261*a - 665. Let y be g(-133). Which is smaller: y or 2\/3249?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/12*d**5 + 0*d + 0*d**4 + 0*d**3 - 1\/84*d**8 + 0 + 5*d**2 + 0*d**6 + 0*d**7. Find the third derivative of m(p) wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -53. Let x be (-90)\/36*(j - -3)\/(-15). Suppose 5*q = -3*m + 22, -8 = -2*q - 0*m - 2*m. What is the nearest to 0.1 in q, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*v + 31 = -4*b + 568*v + 40, -5*v + 45 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 8*f + 9. Let t be ((-1)\/(6\/(-7)))\/((-3)\/(-18)). Calculate n(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30\/13 - 252\/143. Let v = i - 117\/154. Which is the third smallest value? (a) -5 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + 174\/(-15). Let i(c) = c - 9. Let p be i(4). Does 16 divide z\/p*(-160)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -864.\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 5*b + 4*b)*(5*b - b - 5*b) - 4*b**2 + 3*b - 3*b - 35*b - 15*b**2 + 76*b - 40*b)*(-b - b + b).\nAnswer: 21*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/((-4680)\/2494) - (-4 + 391\/115) and 53\/3328.\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = 5*i - r, r = 2. Let o be (-18)\/4*i\/(-6)*-16710. Suppose -10310 = 5*s - o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20\/((((n\/(n*n*n**(-10)*n))\/n)\/n)\/n*n) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from {e: 5, f: 4, n: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.6133kg to nanograms.\nAnswer: 602613300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**3*s**3 - 4*k**3*s - 2*k**3 - 10*k**2*s + 60*k*s**3 wrt k.\nAnswer: 78*s**3 - 24*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4428312*m**3 - 905088*m**3 + 0*m**2 + 0*m**2.\nAnswer: 3523224*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4)*(-272)\/(-4896)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-60))\/((-32)\/869738). Let c = n + 10871. What is the common denominator of -99\/16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-19) assuming b is positive.\nAnswer: b**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19272255 divided by -5?\nAnswer: -3854451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -63, -48, -33?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*-2*sqrt(66)\/sqrt(6).\nAnswer: -4*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 1, r: 1}. What is prob of sequence roe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**4\/10 + 3959*n**3\/5 - 21937*n**2\/10 + 1052*n + 1754\/5 = 0.\nAnswer: -2\/9, 1, 2, 877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/15156453 and 62\/9.\nAnswer: 45469359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i**2 + 16*i + 3. Let k(s) = -17*s**2 + 9*s + 1. What is -5*k(r) + 2*y(r)?\nAnswer: 21*r**2 - 13*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h + 4 = 4*u, -5*h + 4*u - 3 = 0. Let k(p) = p**2 + 17*p. Let x = 12 - 29. Let j be k(x). What is the third smallest value in 0.5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h - 3. Let a be f(-1). Suppose -3*i + 5*i + 4 = a. Put -5, i, -22 in descending order.\nAnswer: i, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.82 * 94.\nAnswer: -359.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 5*y**2 - 6*y + 2. Let f be u(6). Let n be (f - 4 - -3) + 2. Is (-1 + n)\/((-4)\/(-3062)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -4, 4 in decreasing order.\nAnswer: 6, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -26*a - 29*a**2 + 13*a + 28*a**2 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(300)*5 + ((5 + sqrt(75))*2)**2.\nAnswer: 405 + 250*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:54 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + l**3 + l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4335581 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98 + 201?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/27 (b) -4 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - -5254275.\nAnswer: 5254275.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 27*x**2 - 24*x + 63. Calculate the remainder when g(-26) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 43 + 23 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 786. Let y(l) = 2*l. Calculate y(m(k)).\nAnswer: -2*k + 1572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734057765 to the power of 1\/2, to the nearest integer?\nAnswer: 52288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 81*b - 49*b = 0. Let c = 1 + 1. Let z be (-108)\/(-20) + c\/(-5). Solve b*w - z*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 + 3*z + 3. Let x be v(-5). Let p be -4500*8*800\/x. What is p rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let q = -5317 + 37220\/7. Sort w, q, -7 in ascending order.\nAnswer: -7, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129 take away 18410991884?\nAnswer: -18410991883.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**6\/105 + 23*t**5\/35 + 191*t**4\/14 + 1012*t**3\/21 + 484*t**2\/7 + 53*t - 5. Factor n(s).\nAnswer: 2*(s + 1)**2*(s + 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152870.397 rounded to the nearest 10?\nAnswer: -152870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 14. Determine c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 2\/13, 1194, -4, 0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4139\/1642?\nAnswer: -4139\/1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = n, 10 = 4*p - 9*p. Let l(c) be the second derivative of 7*c - 1\/6*c**n + 1\/30*c**5 + 1\/3*c**3 - 1\/3*c**2 + 0. Suppose l(z) = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 n when four letters picked without replacement from nnddnddnnn?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**3 + 5368*z - 7975 wrt z.\nAnswer: 6*z**2 + 5368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 28 = 2*u + 3*u, 2*u = 4*c + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8816 or 1?\nAnswer: -1\/8816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77577, 310224, 697959, 1240776, 1938669, 2791632, 3799659, 4962744?\n\"Answer: -f**3 + 77550*f**2 + 4*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9730\/24599?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*o - 63 = -410*o. Which is the closest to 1? (a) o (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*r**3 + 7118*i + 21176*r**3 - r**2 wrt r?\nAnswer: 6*i + 127056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -23*k - 126. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16261 and 11615.\nAnswer: 81305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1 + 3528\/(-630) + 510\/(-25)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -12, 0.19, 4, -1 in ascending order.\nAnswer: -12, -8, -1, 0.19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-23 - (-6 - (-2 + -4)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -159. Suppose 58 = r*d - 38. Solve -5*j - 20 = 4*z, d*j + 7 + 5 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*y**3 + 655*y**3 + 656*y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3914, -5, -11, 5 in decreasing order.\nAnswer: 5, -5, -11, -3914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j + 6. Let s(z) be the third derivative of 13*z**4\/12 + 17*z**3\/6 - 2*z**2. Give 17*p(d) - 6*s(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3348434, -3348435, -3348436, -3348437, -3348438?\nAnswer: -3348439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5471941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8757*v**3 + 81*v**2 - 27*v. Let b(a) = -1251*a**3 - 12*a**2 + 4*a. Calculate 27*b(h) + 4*o(h).\nAnswer: 1251*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -787*i**4\/4 + 44*i**2 + 222. Find the second derivative of g(x) wrt x.\nAnswer: -4722*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2\/9, 10, -6, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 857?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*d = 2*p - 362*d - 12, -2*d - d = 13*p - 46 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**7\/70 - 13*g**5\/60 + 8*g**2 + 7*g. Let l(a) be the first derivative of h(a). What is the third derivative of l(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1674, 3344, 5012, 6678, 8342, 10004?\nAnswer: 11664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 29, 36, 37?\n\"Answer: -3*a**2 + 22*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (1 + 2 - (12 + -14 + 3))) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21840.9um in millimeters?\nAnswer: 21.8409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5044015 - 12?\nAnswer: 5044003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u + 3. Let y(i) = -i - 7. Let h be y(-3). Suppose 2*q + 531 = 7*q + p, 4*q + 4*p = 412. Calculate the remainder when q is divided by a(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 - s - 2. Let m be c(9). Let k = -224 + m. Suppose k - 17 = y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425240177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004274767 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3009, -3012, -3017, -3024, -3033, -3044, -3057?\n\"Answer: -u**2 - 3008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u**3 + 9. Let c(g) = 1. Determine -18*c(r) + 2*i(r).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 248172 divided by 62043\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000063561 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -5*n**4\/8 - 11*n**3\/6 + 6*n**2. What are the prime factors of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-64)\/10)\/(18\/(-495))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50807584, -101615137, -152422690, -203230243, -254037796?\n\"Answer: -50807553*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 686 = -716 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22153 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/10 - 15*c**4\/8 - 43*c**3\/6 - 28*c. Let d(f) be the second derivative of p(f). Is 3 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8666 * 480.\nAnswer: -415.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 90 = -5*c, 0 = -r - 0*c + 4*c + 18. Suppose 2*m - 41 = u, -r + 46 = m - 2*u. What are 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 12, what is 2 + 1a?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 20)\/(58\/(-19) + 3). Does 19 divide 24\/(-18)*v\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1193, -2379, -3543, -4673, -5757, -6783, -7739, -8613?\n\"Answer: 2*v**3 - v**2 - 1197*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 0.4 (c) -1.21 (d) -0.1 (e) -3\/7 (f) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 198*h**2 + 2*h - 6. Give o(2).\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 0*j + 4*j)*(749 - 386*j**2 - 1553 + 803) to q*j + y*j**2 + s + c*j**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v\/(v*(v**39*v)\/v*v))\/v)**(3\/26)\/((v\/(v*v\/(v*v**(6\/7)))*v)\/((v**(-12)*v)\/v*v*v*v)) assuming v is positive.\nAnswer: v**(-215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51 + 15 - (-5)\/1. Let b = h + 96. What are the prime factors of b?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101449, 98704, 95959, 93214?\nAnswer: 90469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 8448\/7 and 1208 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 14*i - 12. Suppose -l = -3*l + 2. Let f be (l\/2)\/((-14)\/420). Let h be a(f). Solve 2*g - 3*m = -7, -2*m = -h*g + 3*m - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17.6421t?\nAnswer: 17642.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 916.\nAnswer: -1\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(572)\/(sqrt(88)\/sqrt(8)))**2*6.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-12 - (-1248)\/112)\/(2\/(-16394))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1 + 1 + 4 - -3*(-5 + 2*sqrt(612)))**2 + -4 + -2.\nAnswer: -840*sqrt(17) + 30082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -4, 11, -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169695\/2 + 83225. Let m = 1663 + f. Find the common denominator of m and 139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) -2 (c) -0.07 (d) -35 (e) 0 (f) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s - q - 7, 3*s + 32 = -4*q. Let c be s\/2*(-50)\/4. Let g = c - 31. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 5*x + 95. Let v be 10\/x + 4\/26. Suppose v = -8*z + 6*z - 6. Sort z, -2, 1 in ascending order.\nAnswer: z, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/20 + z**4 + z**3\/6 + 9*z**2\/2 + 5*z. Let v be x(-11). Suppose 3*n = 118 + v. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12333912 divided by 4111304\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*y - 3, -2162*y = -t - 2166*y - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h**4 + 0*h - 2\/3*h**6 + 0*h**5 + 0*h**2 - 6 + 2*h**3. What is the third derivative of c(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5612.103ng to tonnes.\nAnswer: 0.000000000005612103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74785 (base 10) in base 13?\nAnswer: -28069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 59*v - 60*v. Suppose -5*x + 5*s = -1315, x - 259 = -37*s + v*s. What are the prime factors of x?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*c + 8637541 = 472*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:47 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d**2 - 224*d - 271. Give c(14).\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 50 = -2*f. Let u be f\/((21\/(-18))\/(-7)). Suppose j - u = -3*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*6)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9143*n**2 + 2061*n**2 + 2161*n**2 + 2119*n**2 + 2273*n**2.\nAnswer: -529*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 + 767 = -398*g + 432*g for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069342 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 4*s = -13, -5*k - 5*s + 10 = 0. Suppose 3*j = k*t + 9 - 51, 3*j + 66 = 5*t. Let l be t\/21 + 15\/35. Solve -l = -2*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**3 + j**3 - j**2 - 3. Let r = 14 - 11. Suppose 4*x + 2 = r*x. Let l(k) = -1. Give x*w(y) + 6*l(y).\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 134 = -2*i, i - 79 = -4*y - 26. Let p = 73 - i. Suppose -3*g + 171 = -p*c + 1, -2*g + 5*c = -125. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 250792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4 - -1) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1802943*p + 364*p**3 + 1802907*p + 5909*p**3 + 16 + 57*p**3 wrt p.\nAnswer: 37980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {e: 6, t: 2, z: 1, k: 4}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116454 is divided by 127?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7177 and -0.005.\nAnswer: -7177.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-v**3 - v**3 + v**3) + (180 + 41*v**2 - 180)*(-17*v - 2 + 2).\nAnswer: -695*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*y - 8 = 5*o, -o - 13 = 2*y. Let d(x) = -x**3 - 3*x**2 + x + 3. Let z be d(-3). Sort 5, z, o in decreasing order.\nAnswer: 5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 6*x - 7. Let f(b) = -55*b**2 - 23*b + 20. Let a(v) = -44*v**2 - 22*v + 20. Let s(l) = 6*a(l) - 5*f(l). Determine -17*d(p) - 6*s(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z - 12. Let b be (24\/(-10))\/(12\/(-40)). Let u be j(b). Suppose u + 16 = 4*v. Is 19 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 3 - (397 + -465)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(4 + 3\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:39 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 344056, 2752484, 9289660, 22019962, 43007768, 74317456?\n\"Answer: 344063*o**3 - 4*o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + -2 + sqrt(1377) - (-5*(sqrt(1377) + -2) + sqrt(1377))))**2.\nAnswer: -2520*sqrt(17) + 137896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2819603378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10662707 - 45081.\nAnswer: -10707788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-7))\/3 - (-33)\/77?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-100 - -111) + 50 - (-39 + 2)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -8 in increasing order.\nAnswer: -12, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 51970 divided by 161\nAnswer: 51970\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 1982*f\/3 - 134248\/3.\nAnswer: 2*(f - 388)*(3*f + 173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.5, 0.08, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z. Let f(w) = 99*w**2 + 2*w - 5. What is f(g(r))?\nAnswer: 891*r**2 - 6*r - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 16*o**2 + 40*o + 58. What is the remainder when 153 is divided by m(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7657*-1030.\nAnswer: -7886710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53942220 rounded to the nearest 10000?\nAnswer: 53940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1042, -2062, -3080, -4096, -5110, -6122?\nAnswer: -7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 1. Let h(f) = -f**2 + f + 2. Let q(y) = -h(y) + 3*n(y). Let o be q(1). Suppose 0 = z + t - 23, o*z - 4*t + 9*t = 92. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 648359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7720*y - 4872*y**2 + 2*y**4 - 5915*y - 1626 + 3071*y + 1620*y**3 = 0. What is y?\nAnswer: -813, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m\/(m*m**(-1)*m)*m*m**0\/m*(m**(3\/2)*m)\/m)\/((m**1\/m)**26\/((m*m**(-1)\/m)\/m)**5) assuming m is positive.\nAnswer: m**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c*c)**47)**27 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441\/182 > 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102211 (base 4) to base 8.\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvhc when four letters picked without replacement from vceeveehvivhh.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + 26?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3123756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/(-28) - (-4)\/(-14). Suppose j + f*k - 153 = -2*j, 0 = -j - 3*k + 53. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, l: 12}. Give prob of sequence yly.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10678 and 1123584?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 4. Let r be c(-7). Let w be (-2)\/r*27\/2. Suppose -6*p = -w*p + 6. Solve -5*f - 5*b + 15 = 0, 2*f + p*f + 3*b = 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 12 - 16)*(3 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2488*t + 782*t + 818*t + 836*t + t**4 + 2*t**2 - t**3 + 8 as w*t**4 + c + y*t**2 + r*t + m*t**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -40. What is the remainder when 10 - (-3 - (-3 - -2)) is divided by u\/(-6) - (-6)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 6*j - j)*(2 + 2 - 3)*(41 - 4*j**2 + 21*j**2 - 42) as g + o*j**3 + r*j + l*j**2 and give o.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 - -30?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*v**3 + 127*h**3*v - 4504210*h**3 - 1065*v wrt v?\nAnswer: 3*h**3*v**2 + 127*h**3 - 1065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325*d**6 + 101*d**2 - 2*d.\nAnswer: -39000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - 798. Let g = 816.5 + f. What is the nearest to 2 in -8, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -1. Let n be 1\/4 - (-29)\/812. What is the third biggest value in -9, n, y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-4))\/(-3) + ((-40427107)\/(-98) - -14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/24)\/q*q\/((q\/(q*(q\/(q\/((q\/((q\/(q**(2\/57)\/q))\/q))\/q*q)))\/q))\/q) assuming q is positive.\nAnswer: q**(-1\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125552397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.9 - 0.1. Let f = -186 - -185.89. Which is the second smallest value? (a) f (b) -2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 3 + 2*a + 0*a - a. Let u(s) = s**2 + 11*s + 16. Let f be u(-8). Calculate p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8 + 2*z - z - 5*z. What are the prime factors of y(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 12. Let x = 505 - 471. Let k be l(x). Suppose 4*z + 214 = 774. What is the highest common divisor of k and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120111 - 100?\nAnswer: 120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80 - 82 - (-1 + 0 + -1). Suppose -6*t + y = -6. Let i(n) = -n**3 - 3*n**2 - n + 2. Let p be i(-3). Solve -p*j - 2*z - 13 = z, 0 = 2*j - 5*z - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 - -282. Suppose 9*o = 2*o + 21. Calculate the highest common factor of o and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -214.5. What is the third smallest value in p, 5, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pooq when four letters picked without replacement from {o: 3, y: 2, q: 5, p: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 + 42 + 2*h + 42 to c*h + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.641 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171738741?\nAnswer: 3, 149, 384203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {z: 2, l: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.3926 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*13969.\nAnswer: 195566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 5:15 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1278 = -h, 174 = -3*j + 4*h + 2086. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22037089 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlnnllnnnllnnlnllnn. Give prob of picking 3 n.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-30)\/48*6\/(-5). Let t(u) = -2*u**3 + 3*u**2 + 2*u - 4. Let c(h) = -3*h**3 + 5*h**2 + 4*h - 8. What is w*c(b) + 5*t(b)?\nAnswer: -b**3 - 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232988, -232974, -232952, -232922?\nAnswer: -232884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -690 * -69.\nAnswer: 47610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5495 and 3454?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 12. Suppose -v*b = -12 - 8. Suppose 0 = 2*p - h + 21, -b*h + 0*h = -3*p - 28. Is -12 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g)*(-1 - 3 - 1) - 4*g + 2*g + 3*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -128. Suppose -l*s - 130 = -d - 794, 2*s + 3*d = 461. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0*m - 5*m - 8*m)*(-2*m - 2 + 2 + (2*m + 0*m - 3*m)*(2 - 6 + 2) - m - 2 + 2).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 1079 = -98*l - 28 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*p*t**3 + 3*d*p*t**2 + 9*d*p - 2*d*t**3 - 10*p*t**3 - 104*p*t**2 + 22*t**3 - 2 wrt t?\nAnswer: -12*d*p - 12*d - 60*p + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -33, 3, -2, -0.5, -1, 849, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -18. Let c = g - 18.7. What is the second smallest value in 5, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 13*a)*(-2 + 2 - 2)*(2 - 3 - 5)*(-4 + 6 + a + a).\nAnswer: -312*a**2 - 312*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(52\/(-12) + 5) - -17. Suppose -q*s = -855 - 363. What is the remainder when s is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 57 = 5*k. Let x be 4*(k\/(-6))\/5. Factor 3*t + 0 + 2 - 3*t**2 + x*t.\nAnswer: -(t - 2)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2103962 and 2705094?\nAnswer: 18935658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, f: 1}. Give prob of picking 3 e.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61.5 - 61.5697. Round s to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2) + 0 - (sqrt(128) - sqrt(2)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 280\/(-2940)*7\/(-2). Which is bigger: l or 1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(13))**2 + sqrt(39)\/(-5*sqrt(3)) - (2 + sqrt(117) - (-6*(5 + sqrt(13) + sqrt(13)))**2).\nAnswer: 3524*sqrt(13)\/5 + 2819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2*g**7\/21 + 2*g**3\/3 - 2*g + 5. Let j(k) be the first derivative of n(k). What is the second derivative of j(b) wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1486*b + 399*b - 23577 - 3598 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -z. What is the second derivative of 12*t**5 + 9*t**5 - 18*t**5 - z*t wrt t?\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-2)\/a))**(-2\/55)*(a**(-1\/4)\/a)**(-1\/32)*((a\/a**(2\/3))**(-2\/161))**(-7) assuming a is positive.\nAnswer: a**(-37601\/485760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 1 = t - 6*t, 2*t + 8 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(9)\/sqrt(3) - sqrt(3))**2 + (sqrt(3) - (sqrt(300) - sqrt(300)*-2)**2).\nAnswer: -2700 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-9 - (-5 - -1)) + (0 - -11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + (0 + -2 - 1) - (59 - 19)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*r + (-2 + 3 - 2)*(-2*r + 3*r + r) + 2*r - 5*r + 2*r + (5*r - 5*r - 2*r)*(3 - 5 + 3).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/47 or 2\/193?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - t**2 - 3*t**2 - 1 + 4*t**2 as a*t**2 + s*t + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t + 6. Let g be n(6). Let p = -13 - g. Calculate the remainder when p is divided by (2\/3)\/((-2)\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/45*33\/231*-6*(-14)\/54\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300d2 (base 14) to base 15.\nAnswer: 24307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 95*m**2 - 4844*m - 25. Determine q(51).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(19)*-2 - (1*sqrt(95)\/sqrt(5) + sqrt(19))) + sqrt(152)\/(sqrt(512)*-1 + sqrt(8) + sqrt(8))) + -2.\nAnswer: -37*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*p + 269*p + 268*p = 810*p + d + 24, -3*d = 2*p + 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -37*m - 11. What is t(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*30\/(-75)*24\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 0*j - 2*j**2)*(0*j**2 - 2*j**2 + 0*j**2) + 5*j**3 - j**4 - 5*j**3 - 741*j**3 + 19*j**4 + 741*j**3)*(9 + 5 - 2).\nAnswer: 264*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24a (base 14) in base 6?\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1412 and 18546267.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 14934?\nAnswer: 104538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-10))\/(1\/2). Let t be -10*z\/(-8) + 3. Let w be (-5 - t) + 75\/21. Sort -2, 0.1, w in decreasing order.\nAnswer: w, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.221 + 376.2.\nAnswer: 376.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, e: 1, l: 4, c: 2, q: 3}. What is prob of sequence elq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*p + 104*p - 4*p**2 + p**2 + 126*p - 807*p to the form z + c*p**2 + q*p and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*((1*sqrt(76)*-6 + sqrt(76) - sqrt(76)) + 4 - (2 + sqrt(76) + -5 + -1 + sqrt(76))))**2*-6.\nAnswer: -1063878 + 54144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*x + 6 - 6)*(-3*x + 2*x - x) + (x + 0*x + x)*(-2*x + 2*x - 3*x) in the form v*x + b + o*x**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/((4\/24)\/(14\/(-126)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232060715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26125 - -26124. What is the fifth smallest value in -5, 5, k, 0, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -1. Let o = -32 + 35. Which is the third biggest value? (a) -1 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*1\/(-2))\/(-1) + 5. Calculate the smallest common multiple of 4 and 88\/q*(-9 - -12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 7. Let o = 50 - 42. Let l be h(o). Sort l, 2, -3 in increasing order.\nAnswer: -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (1 + ((sqrt(208) - (2 + sqrt(208))) + sqrt(208) - sqrt(208)) + sqrt(208) + -5)*-2)*1)**2.\nAnswer: -896*sqrt(13) + 4112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 4. Suppose 0 = 3*w - 0 - d. Suppose -w*r = 4*g - 22, r - 5 = -4*g - g. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4)\/((z\/(z\/(z**(3\/4)\/z*z)))\/z)*(z**(-17)\/z)**(35\/4) assuming z is positive.\nAnswer: z**(-641\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**20)**18*(l*l**(4\/7)*l)**(-5\/3))**(-1\/28) assuming l is positive.\nAnswer: l**(-1245\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -810273\nAnswer: 405136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -5 (c) -14 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 472255.7 tonnes?\nAnswer: 472255700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26640, -54772, -82902, -111030, -139156?\nAnswer: -167280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i + 4*i - 11*i - 4. Let q be p(-1). Let t(v) = 2*v - 28. What is the units digit of t(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 - 18\/738*(-986)\/4 and 16\/41.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2.6, 4\/5, 62\/15, 0, 0.06 in increasing order.\nAnswer: 0, 0.06, 4\/5, 2.6, 62\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 26 (c) -4 (d) -1232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3 = 3*u - p, 2*u - 4*p = 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*s - 5201*s + 348213 = -3556*s + 5947*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 34\/27, 3, -2\/7, 2\/13, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 11.8. Sort v, 3, 4 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15260758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 12, -b + 4*b = r + 64. What is the lowest common multiple of 8 + (-1 - 3\/(-1)) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04179589 + -0.041045. What is z rounded to 6 decimal places?\nAnswer: 0.000751","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2292525 rounded to 2 dps?\nAnswer: -4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22232303 (base 4) in base 10?\nAnswer: -43955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*(-11)\/164 + 0 + 3.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735168131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 - 16 = -g, 3*t = 4*g - 2. Let x = 1 - t. Suppose 3*o - 7*r + 4*r = 21, 9 = -3*r. Sort 1, o, x.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 21 + 23)*(4*w - 27*w - 7 + 7).\nAnswer: 69*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 2. Let p be f(7). Let g = -25 + 77. Suppose -5*t = -3*k + g, -68 = -k - k - p*t. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1733 - 1736. Suppose -2*q - 16 = 2*q. Put r, q, 2, -1 in increasing order.\nAnswer: q, r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/133 + -7\/19. Let d be ((-3)\/(-4))\/(-3) + 1. What is the second biggest value in y, -1, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240414674+-0.06\nAnswer: -240414674.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 69429 = -w, 69405 = 5*b + 4*w + w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 429263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -8720*z**3\/3 + 8945*z + 5449. Find the first derivative of c(o) wrt o.\nAnswer: -17440*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 12*i**2 + 8*i - 12. Let m be a(-9). What is the common denominator of m\/(-6)*(-5)\/30 and -13\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 211*l + 2. Let j(v) = -v**3 + 5*v**2 + 421*v + 5. What is 2*j(i) - 5*x(i)?\nAnswer: -2*i**3 - 213*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*m + 23 - 67, 3*c - 3*m = -96. Calculate the smallest common multiple of 16 and 2*c\/(-16)*4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2. Let y(k) = -6223*k. Determine y(j(l)).\nAnswer: -24892*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15607*j**3 - 15635*j**3 + 46815*j**3 - 15579*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - 7) + 11 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*i - 2 + 46*i + 2*i**2 - 32*i to the form o*i + z*i**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -0.1 (c) 1.7 (d) -180\/13 (e) 133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 65*l - 834. Determine j(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -45*k + 258 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 96275067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659675073 to the power of 1\/2, to the nearest integer?\nAnswer: 51572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, 0 = -2*x + 6*d - d + 4. Let p be x - 2 - (1 - 3). Let m(a) = -a**3 + 2*a**2 + 2*a - 1. What is m(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:31 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2264)\/(-48) + 5\/6. What is the greatest common factor of y and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2781635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44.77 and 5114?\nAnswer: 5158.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2616199891 to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let h(y) = 11161632*y. Calculate g(h(i)).\nAnswer: 249164057806848*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/5)*j*(j*j*(j*j*j**0)\/j*j)\/j)\/((j\/j**(-5))\/j**(-2\/5)))**(12\/7) assuming j is positive.\nAnswer: j**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 - 532*a**3 - 9542*a**2\/9 + 6908*a - 47840\/9 = 0. Calculate a.\nAnswer: -2392, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3116*d - 754095. Calculate o(242).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 4*1\/(-2). Suppose 4*v - 5*u = 21 + 50, -j*v + 4*u = -34. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*q - 877*q + 479*q + 2 - 2 + 2*q + (2 + 0 - 4)*(0*q + 2*q + 0*q) - 1 + 1 + q to s + z*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.366 and 6996077045?\nAnswer: 6996077045.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 684 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 20 = -5*q. Suppose 0 = -q*f + 86 + 202. Calculate the greatest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -232*x**2 - 13*x + 31. Let f(g) = -231*g**2 - 12*g + 29. Determine 15*f(s) - 14*t(s).\nAnswer: -217*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 274 = -2*q, -2*q - 58 = -j + 2*q. Suppose 2*h = -2*v - 0*h - j, 4*v - 2*h = -134. Round v to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330 divided by -4873?\nAnswer: -3330\/4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2*b + 497. Determine w(0).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 137*r**3 + 244*r**3.\nAnswer: 381*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3 and 27*(-78)\/261 + 7.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5235 + 5344. Is 2\/13 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -31*d**2 + 2*d - 5. Let f(t) = 6*t**2. Let w(r) = -5*f(r) - q(r). Suppose -3*n = -0*k + 2*k + 10, 0 = -k - 5. What is w(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*m = -384*m + 40 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 645, 5, 1 in descending order.\nAnswer: 645, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 + 11 = 0, 3*h + 18 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*i**2 + 46*i**2 - 13 - 17 + 7 - 10 as y + f*i**2 + l*i and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/86850 and -79\/1954125.\nAnswer: 3908250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44912 and 640586.\nAnswer: 595674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 192\/7168*-56*((-8)\/309)\/2\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 116 = -433. What is the remainder when k is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4, -5, 0 in ascending order.\nAnswer: -5, -4, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 <= 7386\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(320)) - sqrt(320))**2.\nAnswer: -96*sqrt(5) + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/1449447?\nAnswer: 5\/1449447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 242*l**3 + 1. Let f(z) = 250*z**3 + z + 2. Determine -2*f(i) + 3*j(i).\nAnswer: 226*i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 161. Which is the closest to s? (a) 0.1 (b) -1\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 5. Let b be z(2). Does 15 divide (b - 22\/6)\/((-14)\/315)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h + 4. Let r be i(-6). Let n be (-425)\/r*16\/(-10). Let q = n - 35. Calculate the greatest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 3*b + 4*b - 6*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1452 or 151069\/104?\nAnswer: 151069\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((190\/300)\/(-19))\/((-3)\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2100938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.7086507 - -16.71. What is h rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 30271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {s: 3, q: 13}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2216905757 divided by 6.\nAnswer: 2216905757\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 6)*(12*j**2 + 11*j - 8*j + 552*j**2 - 3*j) to f + r*j**2 + u*j and give r.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 197*q**3\/6 - 20*q**2 + 261*q + 248. Let m(o) be the first derivative of l(o). Differentiate m(u) wrt u.\nAnswer: 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 3}. What is prob of sequence zzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = 5*c - 392, 2*z = 2*c - 160. Let p = -49 + c. Suppose -5*x - y = -57, 62 = 4*x - 3*y + 24. What is the remainder when p is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p. Suppose -m + 0*m + 4 = p. Suppose -4*k - m*h + 132 = 0, -2*k - k + 96 = 4*h. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001233 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 16 (b) 1 (c) 3 (d) 2\/5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3183 + 410677\/111405. Let o = m - 3749\/210. Is o at most as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**5\/4 + d**3\/6 + 11*d. Find the second derivative of m(b) wrt b.\nAnswer: -150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6720ac (base 15) in base 10?\nAnswer: -4917537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4698868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-194)*610033\/88046?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1464 and 490684?\nAnswer: 2944104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010101000011 - -1011?\nAnswer: 1111010101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-170))\/(300\/(-500)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713200 rounded to the nearest 10000?\nAnswer: 5710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 935*k*u**3 + 767*u**3 wrt k?\nAnswer: 935*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/98819 and -13\/2907.\nAnswer: 15119307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-760)\/4180)\/((-16)\/2)\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 11. Let x be g(2). Sort -1, x, -3, -5 in increasing order.\nAnswer: -5, -3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -4.301174.\nAnswer: -4.001174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) + (-4)\/2)*-12. Suppose -4*v + j = 3*t - v, -t + v = -18. Calculate the remainder when 333 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 4*i**3 + 20*i + 4*i**3 - i**3 - 21*i. Suppose 5 = 2*u + 3. Calculate g(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + (sqrt(180) - 2*(4 + sqrt(180))).\nAnswer: -6*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19020, -19019, -19018, -19017, -19016, -19015?\n\"Answer: c - 19021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and -14\/955?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 651 + -1136. Let r = -484.8 - i. Is r less than 19\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -1 - (-28 + 16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2. Let q(l) = 10*l**2. Suppose 4*z + 11 = -w - 0*w, -5*w - 3*z - 21 = 0. Calculate w*q(g) + 5*m(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1175, -4759, -10785, -19295, -30331, -43935, -60149?\nAnswer: -79015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -387, -0.4 in decreasing order.\nAnswer: -0.4, -3, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8265893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*b - 4*b + 17*b)*(-b**2 + b**2 - 2*b**3)*(4 + 4 + 0)*(4*b - 5*b - b).\nAnswer: 1856*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + 0.115. Let g = -0.035 + j. Let n = 1.21 - g. Round n to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7087944 divided by 6\nAnswer: 1181324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19889 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 32 = 4*j - x, -x + 3 = 0. Suppose 5*h + j = 3*t, -31 = 4*h - t - 6. Is h less than or equal to -39\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/11, 102\/11, 0.1, 2\/5, -3, 1\/741?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 3 + -8 + -10 - 62.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -28*m + 73. Let u = 4 - 1. What is the smallest value in 1, 5\/2, m, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423\/6*(-14)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(70) - sqrt(70)*1))\/(sqrt(1000)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q**4 + 0 + 7*q**2 + 0*q**3 - 1\/60*q**5 + 0*q. Let v(m) = -7*m. Let d(g) = -g. Let s(f) = 6*d(f) - v(f). Calculate s(k(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 - 3 + 1 + 2*x + 0. Let m be o(3). Solve 3*d - m = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1798939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46 and 15.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 213826452 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/4)\/(1\/106) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 64 = 4*h, 2*c + 1 = -1. Let p(y) = -55*y. Let g be p(-3). Calculate the greatest common divisor of h and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -1.4. Let h = -13.059733 - -0.059733. What is the nearest to h in d, -1\/10, -3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 - 163710*c**2 - 21896739*c - 733089612 = 0 for c.\nAnswer: -54436, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + 0 + 2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times -8?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -64464 (base 7) in base 16?\nAnswer: -3e94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 8. Let c be y(7). Suppose 5*s + 2*o - 570 = 5*o, -4*s - 5*o = -493. Calculate the highest common factor of s and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17))**(8\/17) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 263*i**2 - 3*i - 7. What is the tens digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/12 - j**3\/3 + j**2 + 32*j. Let t(z) = -20*z + 4*z**3 - 5*z**3 + 1 + 19*z. Give -2*t(s) - w(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -7. Let v = -20 + c. Suppose -2*z + 13 = -2*n + 5*n, -v*z + 31 = n. Calculate the greatest common divisor of 20 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, and 1 o when three letters picked without replacement from {c: 2, v: 1, l: 5, x: 2, a: 1, o: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/45)\/((-164)\/820)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -45. Let g = f - -12.004. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(7200)*-5)**2 + (-2*(sqrt(7200) + -1)*3)**2.\nAnswer: -2980764 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - 14. Let o = 48.8 + w. Let p = 0.2 + o. Which is the biggest value? (a) p (b) 1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17*x = -21*x + 1484, -o + 733 = 5*x. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071866298 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1855 and 37100.\nAnswer: 37100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -2.1, 5, 0.05, -0.09, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*h**5*y - 5*h**4*y - 24*h**3*y - 5*h**2 - 1125*h*y - y - 2 wrt h.\nAnswer: 1080*h**2*y - 120*h*y - 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*f - 5 = -l + 299*f, -4*l + 84 = -12*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 15. Suppose 19*m - 22*m + 30 = 0. Let w be q(m). What is the greatest common divisor of w and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmm when three letters picked without replacement from {m: 2, f: 1, j: 1, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101011100100 + 1010001?\nAnswer: -1100101010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzb when four letters picked without replacement from zzzzzzzzzzbzz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 6*s + 14. Calculate the remainder when y(-3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18486864*q**2 + 10*q + 120710?\nAnswer: -36973728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 33*c + 57. Calculate the remainder when 250 is divided by y(-34).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-522)\/87*((-12)\/27)\/1*(-198)\/6.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -71. Let n = -11 - p. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/9, -21, -0.5, -91 in ascending order.\nAnswer: -91, -21, -0.5, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 16) to base 7.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-5)\/2)*(-4)\/5. Let r(w) = -w**3 - 2*w**2 + w - 3. Let f be r(-3). Suppose h + l*h - f = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 10. Suppose -u + 1 = -3*g - 2*g, j*u + 7 = g. Which is the biggest value? (a) g (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -29*z + 150. Calculate n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207\/4 - 52. Let r be (3\/(-471))\/((-6)\/4). Let x = -952\/2355 + r. Is t not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4134620 and -0.07?\nAnswer: 4134620.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(63) + sqrt(63)*-2) - (sqrt(7) + (sqrt(7) - -5*(sqrt(28) + sqrt(7))) + sqrt(7)*2 + -2)*3)**2.\nAnswer: -480*sqrt(7) + 25216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = g + 3, 3*g - 5*g + 1 = -3*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(203\/(-261)*1*9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/270)\/((-52)\/(-1638))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b - u, -u + 10 + 6 = 5*b. Suppose -i + b*d + 0*d = -129988, -3*i + 4*d = -389988. What is i rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 - 3*x - 2. Let b be h(4). Solve 3*z = -3*o, z - 6*z + 12 = b*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114)*-2 - sqrt(114)) - sqrt(114))\/(sqrt(384)*-3 - sqrt(384)).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14648273653226 and -0.3?\nAnswer: 14648273653226.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9688689g to nanograms.\nAnswer: 968868900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.501913 years?\nAnswer: 0.0501913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 4, u: 6}. What is prob of sequence ub?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -591.\nAnswer: -118.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + 25*m + 22. Let l be n(9). Let f = 4.144 - -0.856. Which is the third smallest value? (a) 25 (b) l (c) f (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284143864.\nAnswer: 2, 193, 184031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 161\/(-385) + (-4)\/22. Let n = 5.121 - 0.121. Let o = -0.38 + 1.38. What is the closest to l in o, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 305*o**6\/3 - 33*o**2 - 334. What is the second derivative of j(m) wrt m?\nAnswer: 12200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, c: 1, p: 4, l: 2, j: 4}. Give prob of sequence sjls.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/515032 and -19\/3264.\nAnswer: 12360768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 70 = -4*z. Calculate the greatest common factor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 251228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:56 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50465404109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 129*t + 129*t - 260*t - 20, 0 = -0*t + 4*t - 67*y + 40 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 7*r**5\/60 - 3*r**3\/2 + 4*r**2 - 10*r. Let i(h) be the first derivative of l(h). What is the derivative of i(c) wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 + -173. Let g(u) = 17*u**2 + 36*u + 17. Let m(t) = 3*t**2 + 7*t + 3. Let s(v) = -2*g(v) + 11*m(v). Determine s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2.4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 34052*w\/13 - 2846256\/13.\nAnswer: -2*(w - 16942)*(w - 84)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/325 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005449854 rounded to four dps?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30321 (base 5) to base 9.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-6)\/(-2) + -6). Let b = l - 3. Suppose b = -2*i + 156. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 5. Let a be (1\/1 - -4)*-1. Give n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 3*h + k, -3*h - 8*k - 4570 + 4671 = 0 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27176?\nAnswer: 2, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 + 3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272157.\nAnswer: 1272157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 1417?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjt when three letters picked without replacement from {j: 7, q: 2, t: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 10*n**2 - 2*n - 15. Let d be l(-10). Suppose -2*g = -2*y - 3*g + 7, d*y = -g + 16. Suppose -9 - 39 = -y*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 20. Let f(b) = b**3 - 8*b**2 - 8*b + 8. Calculate the remainder when 48 is divided by f(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (63\/(-28))\/(1 - 35\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2897, 2800, 2545, 2054, 1249, 52, -1615, -3830?\n\"Answer: -13*m**3 - m**2 - 3*m + 2914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w - 29. Let t(n) = 0*n + 4*n + 142714 - 142700. Suppose 39 = -l + 4*l. Give l*t(y) + 6*s(y).\nAnswer: -2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 4\/7, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 566667*f**3 - 2*f - 3. Let k be y(3). Round k to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -460*d**3 - 80*d**2 + 80*d. Let h(t) = 17*t**3 + 3*t**2 - 3*t. Give 80*h(c) + 3*x(c).\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -3, -2\/9, 9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6331717*f**3 + 514596*f + 54 wrt f?\nAnswer: -37990302*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4335*z**5 - 39020*z**4 - 1257105*z**3 + 157510*z**2 + 4959060*z - 5720 = 0.\nAnswer: -13, -2, 1\/867, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**(-1\/17)*v)*v**(-3\/10)\/v*(v\/(v*v\/(v*v**(2\/7))*v)*v)**(-8)*(v*((v*v*v**0*v)\/v)\/v)**42*v\/v**(1\/3)*v*v\/(v**(-6)\/v*v) assuming v is positive.\nAnswer: v**(321799\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22530 is divided by 539?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12597 and 4420.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*a*j**4*s**3 - 2*a*j**3 - a*j**2*s**3 + 6*a*j**2*s - 2*a*j*s**2 - 45*a + 6*j**4 wrt j?\nAnswer: 2856*a*j*s**3 - 12*a + 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-9 - -4) + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*k**3 - 7*k + 407*k**2 - 3*k**3 - 405*k**2 as b + p*k**2 + t*k + n*k**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x**(1\/3))\/x)\/x)\/x*x**(2\/9)*((x**(-2\/7)*x)\/x)\/x**(2\/9) assuming x is positive.\nAnswer: x**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 2. Suppose 146*x = 143*x. Let p be q(x). Solve 6*d - p*d + 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1605*m - 23975. Give v(-16).\nAnswer: 1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/946 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 106.0392918 to 1 decimal place.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4 - 0, 2 = 2*y - 3*v. Let c be (y - 2 - 0) + 8. Solve -f - 3*r - c = -2, -4 = 2*f + 2*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 233*c**3 - 2*c**2 + 59. Let i(h) = -466*h**3 + 5*h**2 + h - 118. Let k(b) = -2*i(b) - 5*t(b). Find the second derivative of k(a) wrt a.\nAnswer: -1398*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50 - -11) + 37 - 2\/(2\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 121. Let g(v) = 131*v**2 + 1. Let o be g(-1). Let p = o + n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*i + 4*m - m, 5*i = -2*m - 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or -0.9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 82, 78, 72, 64?\n\"Answer: -x**2 + x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(5\/8))**(-8\/3)*v*v**(-27)*v*v**(-9) assuming v is positive.\nAnswer: v**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 10 (b) 2\/11 (c) 216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.07, -7, 0.2, 0.0077, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, n: 7}. What is prob of picking 3 n and 1 y?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 14*b + 32. Suppose 40 = 2*h - b. What is the highest common factor of 108 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-4)\/60 - (-2)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -1139, -1727, -2317, -2909, -3503?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6060, -12136, -18212, -24288, -30364?\n\"Answer: -6076*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0*d + 7*d - d. Let x(c) = -5*c. Let q be (4 - 119\/35)*(10 + -5). Determine q*x(r) + 2*b(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-12))\/((-1)\/15). Let x = 51 + -29. Let r = x + f. Solve 0 = -c - 4*c - 2*i - r, -c + 5*i = -3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-42))\/(-21*(-24)\/(-2352)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38874 - -19419. What are the prime factors of q?\nAnswer: 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u + 4. Let j(t) = -t**2 + 3*t + 4. Let z be j(3). Let a(f) = -f - 1. Let q be a(-3). Suppose z*k = 16, r - 6 - q = -k. Determine v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s - 3322 = 10822. What is the highest common divisor of s and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -3. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyf when three letters picked without replacement from {z: 1, i: 2, f: 1, u: 1, x: 2, y: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -708.618, -3, -2, 1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 10*c - 11*c. Suppose -c - 80 = -9*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c = -190*c + 1804710. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -1. Let c be (-30)\/(-9)*(-24)\/f. Is ((-40)\/c)\/(1\/(-5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94224839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48548, -97127, -145770, -194483, -243272?\nAnswer: -292143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20770457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 389*w**3 + 281 wrt w?\nAnswer: 1167*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -55. Solve -5*a + 5 = 4*p - 6, -o*a = -p + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149753070 to the power of 1\/2, to the nearest integer?\nAnswer: 33908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + 6.3. Let k = -9 + m. Is k not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -9922240?\nAnswer: -9922240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 1. Let z be j(1). Let t(p) be the second derivative of p**3\/6 + 2*p**2 - p. Let x be t(z). Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392117.\nAnswer: 3, 31, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {m: 1, u: 4, a: 1, c: 5, h: 3, p: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/((-621928)\/411570)\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259041 + 456002. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 2*p - 22, 4 = 4*h + 17*p - 13*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 59. Solve 0 = h*d - d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865552173 to the power of 1\/3, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9*k - 138. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.4 + -10. Let z = 462373.5999999 + -462374. Let w = z + a. What is w rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4613 (base 9) to base 12\nAnswer: -1b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 325*z + 29. Calculate o(-80).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let g be 4\/(0 + 2 - d). Differentiate g + 3*u**4 - 5 + 1 with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 44. Let u(d) = 112*d - 700. Let j(g) = -63*n(g) + 4*u(g). Calculate j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 59 + 10*u - 24.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.5 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840 is divided by 154.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23292, 23077, 22864, 22653, 22444, 22237, 22032?\nAnswer: 21829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 278969190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3173 - 8098 - 2717 = 269*v for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 20. Let f(y) = -y**3 + 9*y**2 + y + 6. Calculate the remainder when f(8) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4710367 (base 9) to base 12.\nAnswer: -a29444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24*p = -115124 + 13524. What is the least common multiple of 200 and p?\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*m + 717*m = 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 540 = -9*c. Suppose b + 173 = 5*y, b + 3*b = 8. Suppose 0 = 2*f - 4*x - 38, y = -3*f + 4*x + c. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 3 + 1 + 0. Let y be o(-4). Suppose 5*u - 7 = g, 4*u - y = -2*g - 0*g. Solve 2*q + r - 8 = -u*r, 2*q = 3*r - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 divided by -33.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 6 - 30. Let f(c) = c**3 - 7*c**2 - 5*c + 10. Let u be f(q). Suppose 5 = w - u. What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(152)\/(1*sqrt(4)))\/(3*sqrt(2)*-2)*3.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: e4c37 (base 15) to base 5\nAnswer: 141200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*u + 157 = 0, -4*z + 2*u = 69 - 295. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 4:00 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/24*6*7\/14)\/(3\/81)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 878722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5934*k - 7098*k + 5820 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/4 + -7. Let w be (-32)\/6 + 8\/(-12). What is the common denominator of (-121)\/w + (-3 - -3) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.185 in -1, -0.1, 119\/6, 0.282?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-1) + 585\/15. Find the second derivative of -25*g**2 - x*g - 50*g**2 - 22*g**2 + 15*g**2 wrt g.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159409346 to the power of 1\/3, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:29 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + y = 296, 5*d - y - 134 = 362. Suppose 5*p + 3*m = -d, 4*p + 35 + 40 = -m. What is the units digit of -2 - (p\/(-1))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2 - 5. Let w(g) = 9*g. Give w(z(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 + -3028939.47.\nAnswer: -3028939.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4\/63, -16\/5, -2, 5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 2*v**2 + 2*v - 2. Suppose -17 - 7 = -6*t. Calculate the remainder when h(t) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, -223, -842, -1799?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*10\/276*584\/365.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1099253326 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146066589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -227, 0 in decreasing order.\nAnswer: 0, -4, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12233210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -45, 7246 in descending order.\nAnswer: 7246, -17, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/5 - 1569*r\/5 - 1572\/5 = 0. What is r?\nAnswer: -1, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 615 divided by -615\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/5)\/(9\/60). Suppose 4*t + 0 = -v. Is 35 - (-2 - t - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l + 2*k, 5*k + 21 = -5*l + 4*l. Suppose -3*g - l*f + 35 = 0, 5*g - 2*f = -5*f + 40. Let q(h) = -h**2 + 6*h. Give q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1255 - 784. Let p = -460 + c. Let d = 0.7 - 0.4. Sort -4, p, d in descending order.\nAnswer: p, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3 - 18106*h**2 - 36206*h - 18102 = 0.\nAnswer: -9051, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1181788\/19 + 62240. Are 40 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g**2 + 3*g**2 - 4*g**2)*(2 + 1 - 5) + (-g - 4*g + 3*g)*(4*g - 2 + 2) in the form m*g**2 + v + o*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -468, -1405, -3950, -8907, -17080, -29273, -46290?\n\"Answer: -134*z**3 + z - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(75) + sqrt(3))*-2 + 0).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + 10\/14. Let q be (-6 + 7)\/(h\/2). Suppose -q*r + 167 - 19 = 5*u, -4*r = -16. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2548 + 2527. Let h(i) = -15*i**3 + 15. Let b(m) = 3*m**3 - 3. What is k*b(z) - 4*h(z)?\nAnswer: -3*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1734562, -3469057, -5203552, -6938047?\nAnswer: -8672542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 2*v**3 - v**3 + 2*v**4 - 1)*(1 - 31 + 1).\nAnswer: -58*v**4 + 58*v**3 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -569 - -5687\/10. Put 5, u, 2\/7, 4 in ascending order.\nAnswer: u, 2\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/388 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23127 + 271?\nAnswer: -22746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 182.809?\nAnswer: 18.2809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1346 - 18913\/14. Let j = -109432030027438 + 445427757742486244503\/4070360. Let o = 2\/72685 + j. Find the common denominator of g and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 2\/7, 93, 71\/3691 in ascending order.\nAnswer: -1\/6, 71\/3691, 2\/7, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*b - 3*f, -4*b - 12 = 6*f - f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 213, 214, 213, 210, 205, 198?\n\"Answer: -i**2 + 4*i + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1)*m**(-1\/4))\/(m**(3\/5)*m\/m**(-5)) assuming m is positive.\nAnswer: m**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -374395, -748773, -1123157, -1497547?\n\"Answer: -3*f**2 - 374369*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 1759490.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -20001*n**2 + 1243*n + 1243. Let w(q) = -18*q**2 + q + 1. Determine -2*g(p) + 2486*w(p).\nAnswer: -4746*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 85, -0.4, 2\/7, 2, 2\/5, -0.44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 16*n. Let i(s) = 5*s - 3. Suppose 2*z - 24 = 5*d, -5*z - d = -2*d - 14. Let o(l) = 4*l - 2. Let a(j) = z*i(j) - 3*o(j). What is u(a(v))?\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/996 and 95\/2988?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 20*t - 27 - 21*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25039, 50077, 75115, 100153, 125191?\n\"Answer: 25038*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/(-13) + -11 - (-6 + 17 + 36)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 152*r - r**2 - 10*r - 143*r. Suppose -4*g + 6*g + 6 = 0. Calculate k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 8 = -2*g - 6, g - 18 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (123\/(-5))\/3*-5. Suppose -4*m - 4*f + 11 + 5 = 0, 3*m - f - 4 = 0. Suppose 0 = -2*j - 3*i + 23, -m*i - 3*i = 4*j - g. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 7*n + 4*n - 6*n - 282 + 90 to the form i*n + s and give s.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4659 is divided by 1386?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iun when three letters picked without replacement from {l: 2, n: 1, i: 1, u: 4}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19151 - -57460\/3. Let k(v) be the second derivative of 22*v + 0 + 0*v**2 - d*v**3. Let o(m) = 2*m**2. Give o(k(l)).\nAnswer: 392*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14\/9))**(-1\/23) assuming y is positive.\nAnswer: y**(14\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 9. What is the lowest common multiple of l and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.8701 to the nearest integer.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -107, -75, -21, 61, 177?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 601?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11069, -29736, -80405, -179078, -341757, -584444?\nAnswer: -923141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 29*f + 50*f - 21*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 9 = 1. Let m be (50\/(-4))\/(q\/(-4)). Does 7 divide (2 - (-14)\/(-5))*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*c = 31, 3*z - 2*c = 2*c + 29. Let k be 2*(3 + -2) + 1. Let f = z + k. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + -0.08. Let o = i - 0.24. Let a = o + 1.2. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.0275 + 0.91. Round a to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - n = -217, -4*p + 631 = -4*n - 269. What are the prime factors of p?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*c + 5*c. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2482757, 2482741, 2482725, 2482709, 2482693, 2482677?\n\"Answer: -16*r + 2482773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*o - 387 = -108*n + 433*o, -8 = 2*n - 5*o - 95 - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4107\/26 - -158. Let q be (-22)\/(-10 + 32) + 4\/2. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8963226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2610*i + 12660 = -12563 - 15821 - 24206 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 464, 1839, 4124, 7319, 11424, 16439, 22364?\n\"Answer: 455*g**2 + 10*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-112)\/84 - 1940\/(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 64285853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 4, j: 10, n: 3}. Give prob of sequence nnnj.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 0.064.\nAnswer: 0, 0.064, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 5. Let t(i) = -i - 1. Let l(w) = 2*w + 2. Let k(y) = 4*l(y) + 9*t(y). Let z be (-1)\/2*(-4)\/1. Let d be z\/(-3) + 3\/(-9). Give d*q(n) + 5*k(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*-22 + 42\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*g - 3632*g - 28867 = 229733 for g.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27013584, -27013583, -27013582, -27013581, -27013580?\n\"Answer: d - 27013585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 + 4*o**2 + 7*o + 2. Determine n(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 4 in decreasing order.\nAnswer: 4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -62477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from qqqoo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4160750 divided by -122375.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9592.634 years?\nAnswer: 959.2634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 58*s - 17460 = 0. What is the common denominator of (-7)\/(-378)*s\/(-20) and -131\/186?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 2\/13 (b) -55 (c) -1 (d) 2 (e) -0.601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46309, 46312, 46317, 46324, 46333, 46344?\n\"Answer: c**2 + 46308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-4)\/8*6. Solve 3*z = 13 - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 52\/3*u**3 + 2*u**4 + 10*u**2 - 24*u + 29. Factor k(p).\nAnswer: 4*(p + 1)*(p + 6)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/61228 and 19\/1362323?\nAnswer: 5449292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14141 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 4 = -14*j, -5*l + 2*j + 12 = 0. What is the greatest common factor of 338 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 2*h**3 + h**3 + (h - h + 2*h)*(2*h**2 + 3*h**2 - 4*h**2) - 2*h**3 + 2*h**3 + h**3 + h**3 - 4*h**3 + 5*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 361 = 2*k - 557, 3*k + 3*i - 1341 = 0. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1782*a**2. Let n(f) = 5*f - 1. Calculate n(x(h)).\nAnswer: -8910*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -0.4, -6616?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12783 + 12782.988614. Round p to 4 decimal places.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 356153118, 356153117, 356153116, 356153115?\n\"Answer: -y + 356153119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32760188 from -8.12.\nAnswer: 32760179.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34910003?\nAnswer: 34910003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 14 = -23*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2. Let f(x) = -x. Let o(m) = 2*m. Let q(r) = -7*f(r) - 3*o(r). Give q(l(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -86a?\nAnswer: -874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1210, 2430, 3650, 4870?\nAnswer: 6090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1580742 and 51246.\nAnswer: 20549646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 303250705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*f + 476 = 0, 3*f = -2*c - 0*f - 491. Let r = c - -279. Are 38 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-44))*y*(y\/((y**(11\/3)\/y*y)\/y))\/y)\/(y\/y**(-1\/10)*(y\/(y*y\/(y**(4\/17)*y)*y)*y)\/y) assuming y is positive.\nAnswer: y**(-23971\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3984, -10229, -18818, -29751, -43028?\nAnswer: -58649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -21212344?\nAnswer: -21212403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-169)\/(-273) + (1 - 4\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6292)\/(-8228))\/((-3)\/(-153))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**2 + 1. Let v be b(3). Let j = -57 - v. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -580\/481?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(3\/2)\/r)*r**(-3))\/(((r**(-5)*r)\/r)\/(r**(-2\/9)\/r))*(r**(-2\/3)*r*(r\/((r*r**2)\/r))\/r)\/(r*r**(1\/2)*(r**(-8\/3)\/r)\/r) assuming r is positive.\nAnswer: r**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 729*s - 1\/4*s**2 - 531441 = 0?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18 and -46\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -764, -2589, -6142, -11999, -20736, -32929?\nAnswer: -49154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010 - 1001?\nAnswer: 110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 12.85118?\nAnswer: -2.570236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 128 = -4*h, 3*u - 26 = -h - 2*u. Let b = h + -21. Calculate the remainder when (-2 - 0)\/(b\/(-105)) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401 divided by -55?\nAnswer: -491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvzrvrzzrrrvvzrry. What is prob of picking 1 z and 1 v?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvvxvxvqqvv. Give prob of sequence xxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by -16937?\nAnswer: -205\/16937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*7\/924*(-32)\/36*-6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -5, -2.57, -54.5 in decreasing order.\nAnswer: -0.02, -2.57, -5, -54.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 0.0949?\nAnswer: -0.3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -22. Suppose -11*z - 4 = -a. Solve 5*c - 29 = 2*v, 4*v - 4*c + 24 = -z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2020 is divided by 145?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a + 2. Let h be w(3). Let b be -6*1*h\/2. Suppose b*y = 12*y - 270. Is 30 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-60))\/(2\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3576 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -298 - -1492\/5. What is the nearest to x in -4, 0.4, 2\/15, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(3 + 0 - 1)*(-4*l + 7*l + 4*l).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 35*h + 43, -3*h + 12*a - 23 = 17*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/8)\/((-251)\/(-5020)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -1558 - 17\/((-136)\/32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6515*(-552)\/(-506)*(-11)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**3\/3 + 13*z**2\/2 + 2*z - 3. Let j be (-2 - (14 - 9))*(-1)\/(-1). Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let v(n) = 5*n**2 + 6*n + 7. Let f(l) = -l**2 - l - 1. Let d(r) = -6*f(r) - v(r). Let k(s) be the first derivative of d(s). Calculate k(y(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -1, 4, 3, -2 in descending order.\nAnswer: 4, 3, -1, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15*(-222)\/(-814)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 731, 2361, 4893, 8327, 12663, 17901?\n\"Answer: 451*b**2 + 277*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(343)*2 + -4) + 1*(sqrt(343) - (sqrt(343) + -1 + -2)))**2.\nAnswer: -4536*sqrt(7) + 50125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.60333 + -2049214.\nAnswer: -2049173.39667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -3*l + 6, -3*d = 71*l - 72*l + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*q**2*x**3 - 69*q*x**2 + 3*x**3 wrt q?\nAnswer: 630*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2 = -5*b + 3*v, 6 = -5*b - 4*v. Determine a so that -18\/19 - 12\/19*a - 2\/19*a**b = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 16.5. What is the biggest value in c, -8\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13966440 and 13966440?\nAnswer: 13966440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312737591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:42 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/2)\/o*o)**1 assuming o is positive.\nAnswer: o**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**5\/60 - i**4\/9 - 5*i**3\/18 + 405*i. Suppose m(s) = 0. What is s?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57117 divided by 3\nAnswer: -19039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeehheeeeeehhe. Give prob of sequence eh.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*h + 115, -2 - 28 = -h + k. Factor 15 + 15 - l**2 - h.\nAnswer: -(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-78 + -1 + 17) - 5.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4506)\/3004)\/(245\/9 + (-2)\/9)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17600 and 14784.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-4))\/(2\/(-26)). Suppose -4*k = z + 7, -2*z - 21 = z - 4*k. Let h = z + r. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 6*h - 8. Suppose 22*s = 29*s - h. Find w, given that 1\/2*w**4 - w**s + 3\/4*w**3 + 0 - 1\/4*w**5 - w = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19 and 424460?\nAnswer: 424460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.323 - -12.323001806. What is q rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w = -224 + 784 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161466?\nAnswer: 2, 3, 17, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1, -39, -513\/14, 1\/2, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -12746?\nAnswer: -12751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + 5*v + 1510. Let r(h) = -6*h**3 + 6*h + 1514. Determine 3*r(x) - 4*u(x).\nAnswer: 2*x**3 - 2*x - 1498","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3307552 (base 8) in base 10?\nAnswer: -888682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 395218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = k + 2*k - 13, -4*k + 2*o - 26 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 915 and 6588?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 616488577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 0*u**4 - 3*u**3 + 0*u**2 + 3*u + 0 + 7\/4*u**5. Find the second derivative of k(q) wrt q.\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 2*z + 16. Let t be j(-7). Let q(c) = c + 23. Let n be q(t). Let l(r) = -4 - r**3 - r + 4*r**2 + 0*r**3 + 2*r. Give l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**2 - 9*c + 0 + 0*c**6 + 0*c**5 + 1\/3*c**4 + 0*c**3 + 1\/14*c**7. What is the third derivative of h(y) wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 3. Let w be 7 + (112*-1)\/4. Let f be (w\/(-6) + -2)\/((-1)\/p). What is the smallest value in f, 2\/9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*r - 9 + 17, 5*r = 3*n + 20. Calculate the smallest common multiple of (-8 + (n - 7))\/(-3) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9632 - -18145. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 19 = 50724*n - 50726*n, 6*n = 5*s - 49 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(125) + -5 - (0 + sqrt(20)\/sqrt(4) + sqrt(60)\/sqrt(3)))*-1*-2)**2.\nAnswer: -112*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + f - 11. What is the remainder when l(5) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 + 2 - (2 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -151, 2428, 0, -4, -2\/13?\nAnswer: 2428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {b: 1, x: 11, t: 1, z: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Calculate the remainder when -4 + z - (-33 + 0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Suppose 3*v = -k*m + 10, m + 0*v = v + 2. What is the third derivative of y**2 - 3*y**5 + 6*y**5 - m*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -3 (c) 0.8 (d) 7.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25426*v + 19044065. Calculate u(749).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5*g)\/(g\/g**(-6))*g**(5\/2)*g**(-1))**(-2\/3))**(-13) assuming g is positive.\nAnswer: g**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 1\/5, -0.2, 2\/17, 2\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-28)*(-345506)\/(-22126)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (14 + -8 + -1) - (-11 - -42).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -59, -56?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666 and 2492505.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -37, -31, 9, 95, 239?\n\"Answer: 2*c**3 - c**2 - 27*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444\/11 + -743799\/18425. Is i <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i - 1)*(i + i + 0*i)*(-4*i + 2*i - 5*i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 37. Let l be g(10). Suppose l*b + 8 = -2*i, i + 4*b + 5 = 2*b. Let x(h) = 10*h**2 + 1. Determine x(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**10*((((x\/x**(-4\/3))\/x)\/x*x)\/x)\/(x**2*x))\/((x**1*x\/x**(1\/4))\/(x*x**(-6)*x*x*x*x\/x**3)) assuming x is positive.\nAnswer: x**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-22)*8\/(-6)*110\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14777)\/10555)\/(112\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 23, 45, 85, 149, 243?\n\"Answer: u**3 + 3*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29332025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + n - 18, -50*n = -r - 54*n - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*m**2 + 10*m**5 + 39*m**3 - 39*m**3 wrt m.\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let s be (a - 4) + 1 + -249. Is (6 + -3)*s\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(64)*-5)\/(sqrt(40)\/(sqrt(245) + sqrt(5))))**2.\nAnswer: 1280*sqrt(2) + 204804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54474490.819995 - 54159978.82. Let h = t - 314508. Let y = 4 - h. Round y to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2665 + -1225. Let j = r - 555. What is j rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221021 + 2001?\nAnswer: 10000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from yxyxxy?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 157*n + 100. Is 52 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*k - 50*k - 4*n + 4, 0 = k - 2*n + 2. Factor -2\/7*r**2 - 26\/7*r + k.\nAnswer: -2*r*(r + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 3 - 2*m**2 + m**3 - 2*m**2 - 4*m + 6*m**2. Give d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1332 + -1245 - (3 + 26)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from ocecey?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -109. Suppose -23 = -z*j - 7. Factor 0*v - 24\/5*v**3 + 0 + 3*v**j - 12\/5*v**2.\nAnswer: 3*v**2*(v - 2)*(5*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*j**3 - 21*j - 32?\nAnswer: 1860*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.2, 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 2)*(4 + 2 - 4) + 0 + 0 - 1)*(1 + 0 + 1)*(4*h - 60*h - 30*h).\nAnswer: -172*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 7 = k, -2*c + 19 = -5*k - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109\/8 - -121\/8. Let y = -89\/13 + 7. Let f be ((-1)\/(-10))\/((-12)\/90). What is the closest to 0.1 in f, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9456, -18899, -28342, -37785, -47228, -56671?\n\"Answer: -9443*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, u: 2, j: 9, n: 5}. What is prob of picking 1 u and 1 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 241 - 175. Let t(c) = -c**3 + 5*c**2 + c + 26. Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201525087.0000033 - 201525133. Let c = f + 46. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -364*p**2 + 358?\nAnswer: -728*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -260903 (base 11) to base 3\nAnswer: -202212211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 253 + 48. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.4 - -6.525. Let k = v - 4.125. Sort k, -3, 1, -1\/2 in decreasing order.\nAnswer: 1, -1\/2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.89 + 31.89. Sort -0.7, 13, k.\nAnswer: k, -0.7, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - l + 69 = -672, 4*v - l - 591 = 0. Suppose -760 = -2*s - v. Let z = -154 + s. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -11 + 114 + -43.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 8*f - 32 = 0, -j + 184*f = 179*f + 15 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*k - 5)*(-5 + 1 + 1)*(-1 + 1 + 2*k) + 31*k**2 + 9*k**2 - k**2.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s + 4. Let c(u) = -3*u + 0*u + u**2 + 4*u + 5 + u**2. Let n be c(s). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -56*x - 9. Let u(q) = -54*q - 8. Determine 4*a(r) - 5*u(r).\nAnswer: 46*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81803793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66421\/33 greater than or equal to 2012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keqe when four letters picked without replacement from {k: 2, e: 2, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(28) + sqrt(28)*3 + sqrt(28) - sqrt(28)) + (0 + sqrt(11) + -4 - 1*sqrt(539)).\nAnswer: -47*sqrt(11)\/8 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(1\/(-3 + 0) - (-160)\/30). What is the third biggest value in 1\/2, 2\/5, d, 1, 2\/157?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjp when three letters picked without replacement from {j: 4, o: 1, p: 5, b: 10}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 195*v**4 - 215*v**3 + 575*v**2 + 990*v + 400.\nAnswer: 5*(v - 40)*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, 0.2, 9, 4 in increasing order.\nAnswer: -1, -2\/9, 0.2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + 6 + (-20 - -14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7093.234nm?\nAnswer: 0.007093234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/11 (b) 0.4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - (-34 - -53) - 15 - -14?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*o**2 + 282*o**2 - 922*o**2 + 324*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3341?\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 920*l**2 + 91744*l + 3334016.\nAnswer: 2*(l - 244)**2*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 = 6, 10 = -3*u + 5*m. Suppose -v - 3*l + 15 = u, -v + 3 = -2*v + 3*l. Suppose -v*b + 3*b = 4*x - 15, -2*b - x + 15 = 0. Is 0.7 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 + 1137*v + 64546. Calculate s(-119).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k + 40. Let b be r(4). Let z(l) = l + 2. Let q be z(0). Suppose 4*o = -g + 168, 0 = 2*o + 6 - q. Calculate the highest common divisor of g and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3520 + -2086. Let u(d) = -d + 8. Let t be u(8). Suppose 8*y - 6*y - l = t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4832 and -71\/74896?\nAnswer: 149792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1662691346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 12*k + 54 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - g = 1 - 0, 2*d = -3*g - 19. Let a(s) = -11*s**3 + s**2 + 3. Is a(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 438*i**2 - 22*i - 2 wrt i?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2450*w. Let l(q) = -6*q**2. Determine l(t(i)).\nAnswer: -36015000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4235*s - 64 - 62 - 58 + 184 as h*s + n and give h.\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -369*v**2 + 32*v + 65. What is u(-2)?\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 2*l)*(-56*l - 52*l + 18*l) + (-l + 2*l - 3*l)*(-l - 3*l + 2*l).\nAnswer: 184*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - 4. Let l be (-14)\/3 + t\/(-24). Let u(d) = d**2 + 3*d. What is the least common multiple of 1 and u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 814 and 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5739993 - (3 + (3 - 3)). Let q be j\/14 + 10\/(-35). What is q rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)\/p)**(-2\/11)\/(p\/(p*p**8)*p**(-9)\/p) assuming p is positive.\nAnswer: p**(3796\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -830.43 + 834. What is k rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289263 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b**3 + 4*b - 6*b**5 + 10*b - 26*b**2 - 2*b + 18*b**4 + 3*b**5 + 8 - 2*b**5 = 0. What is b?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*(-5)\/(-69). Let o = u - -83\/483. Let a = -5.2083 - -0.2083. What is the second smallest value in a, o, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 13*m + 34. Give l(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let k(w) = w**2 + 2*w + 2. Suppose 0 = -3*f - 6, 3*q + 3*f = -9 - 3. Let y be k(q). Let x(c) = 2*c - y + 2 - 5*c. Determine o(x(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10303 - 2?\nAnswer: 10301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - ((-12)\/2 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*a - 4298 - 1046 = -57*a. What is the highest common factor of a and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60554 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/5, 13, 16, 2, -3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*l - 0. Suppose 4*y - 4*i - i = 25, 2*y - l*i = 25. Let k = 5 - 0. Solve 0 = -y*p + k*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31570, -62805, -94040?\nAnswer: -125275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, a: 1}. Give prob of sequence la.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 8*c + 14. Let y be p(-5). Solve -16 = y*h + 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17532 is divided by 10\/6*6699\/1015?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -489, -690?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1359*k + 19016. Give p(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**8\/168 - t**7\/35 - t**6\/15 - 12*t**2. Factor z(l).\nAnswer: 2*l**3*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 + 568. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 5. Let w be b(-2). Let v = 4 + w. Solve v = o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 231815663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3723075 divided by 3\nAnswer: 1241025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 175622 divided by 13\nAnswer: 175622\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -53*v + 3718. Let t(u) = 93*u - 7434. Determine -7*s(x) - 4*t(x).\nAnswer: -x + 3710","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 19284 = -3*y. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*t + t**3 - 2*t**3 + 134*t - t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*l = 9, 0*t + 3*l = -3*t + 12. Suppose t*g + 496 = 535. Calculate the remainder when 36 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(9\/(-8)). Let v = -1 + 3. Which is the closest to -1\/2? (a) v (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 9*p - 936 + 930 = -5*g, 5*g = 5*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 - 3*s - 14. Calculate n(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 15 = h. Suppose 0 = q + 4*q - h. Let u = 2 - 1.5. Sort 0.2, u, q in decreasing order.\nAnswer: q, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = s, 4*p - 20 = -8. What is the closest to s in -4\/5, -1\/4, -13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - 1 - -8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-5 - 4) - ((4 - 5) + 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 4*k**4 - 5*k**4)*(-3 - 6 + 6)*(4*k - 5*k + 0*k)*(5 - 3 + 0).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34107 divided by -3?\nAnswer: -11369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85405102669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904) + (sqrt(2904) - (sqrt(2904) + 2*sqrt(2904) + sqrt(2904))))*6*-6)\/(sqrt(1200) + sqrt(12) + sqrt(108)*-2).\nAnswer: 792*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*z = 888, 0 = -47*x + 46*x - 2*z + 295. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-10)\/20)\/(1\/(-4)). Let l(h) = 16*h - 2. Calculate the smallest common multiple of l(2) and (-150)\/4*(-16)\/(-40)*s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 666, 2374, 5736, 11280, 19534, 31026, 46284?\nAnswer: 65836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j - 4. Let p be j*3\/(1 + 5). Suppose p*l + 2*l + 2360000 = 0. What is l rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p**(-3))\/p)\/p)\/p**(-3\/8))\/(p**6\/p**(-1\/2)) assuming p is positive.\nAnswer: p**(-73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 53399.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q - 2. Let a be v(2). Let c = 64 + a. Does 6 divide 8\/12 + c\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1613, -1633, -1673, -1739, -1837, -1973, -2153?\n\"Answer: -x**3 - 4*x**2 - x - 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26072 - (0 + (-15)\/25 + 119\/(-35))?\nAnswer: 2, 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-442)\/17 + (4 + -4)*-1)\/((-23)\/46)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 26. Sort y, 2, -1 in increasing order.\nAnswer: -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/8)\/(28\/(-16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -14, -3, -1 in increasing order.\nAnswer: -14, -3, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -46*a + 77*a - 168 - 11*a. What is b(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 - -0.62. Let g = l - 0.53. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 30 = -12*r. Let a(y) be the third derivative of y**5\/60 - y**4\/8 - 11*y**3\/3 - y**2 + 76*y. Let k be a(r). Let v(z) = z**2 + 3*z - 5. Give v(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24151123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h + 3. Let w(o) = -16*o + 4. Give 4*c(u) - 3*w(u).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 985.0127 litres to millilitres.\nAnswer: 985012.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/7 + 67067982*l\/7 - 9581140 = 0. Calculate l.\nAnswer: 1, 33533990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29784198 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8bb97a (base 15) to base 6\nAnswer: -354552524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 f when four letters picked without replacement from {f: 9, j: 6, m: 2, y: 2}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131 - 1111?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 12) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13626076 <= -13626077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 1, -c - c - 5*q = 3. Let p(v) = v. Let y(w) = 2*w**3 - 3*w + 1. Determine c*y(r) + 3*p(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 2\/23, 2, -0.2 in increasing order.\nAnswer: -0.2, -0.05, 2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let m = 40.1 - -2.9. Let u = m + -58. What is the nearest to u in g, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 - (38 - 20 - 13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let c be (-3)\/(-1 - (-2)\/8). Suppose f = -i + c. Let x(l) = l**2 - l + 1. Determine x(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62? (a) 14133 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/216*2*-1\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1200\/(-100))\/((-6)\/8). Solve 0 = 4*m + 4*w + d, 0 = -47*m + 46*m - 2*w - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*j + 17*j - 1740. What is the remainder when 405 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*5*12\/1. Let n = -306791\/36 + 8523. Find the common denominator of ((-14)\/t)\/((-48)\/140) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -46 + -2 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/27 + -7\/27. Which is the second smallest value? (a) -1 (b) -1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 211*w**2\/5 - 5277*w\/5 + 10 = 0. What is w?\nAnswer: 2\/211, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1075 - 1074.99998873. What is m rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*c - 4*j, -5*c + 4*j + 60 = -0*c. Let z be (-9)\/(-4) - c\/(-16). Let h(s) = 4*s**2 - 3*s - 3. Is 12 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000797238256 to six dps.\nAnswer: -0.000797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 + 228. Sort c, -3, 7 in descending order.\nAnswer: 7, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 9 = 0. Suppose 420 = y*h + h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 805?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 11. Suppose 2*c - 15 = p, -4*p - 60 = m*c - 6*c. Let z = p + 68. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(729)*-1)\/(sqrt(192)\/sqrt(4) - sqrt(9)\/sqrt(3)*-2) + -3.\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*525\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2634*0.025\nAnswer: 65.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 3228.\nAnswer: 93612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or 87501?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -34. Let s = j - 13. Suppose 5*z + 5 = -3*d, 0*z - 24 = -s*d + z. Solve -d*g - 17 = -2*x, 3*g = 3*x + x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1372*k**2. Let j(q) = -9174*q. What is j(m(o))?\nAnswer: -12586728*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((1*(4*sqrt(7) - sqrt(7)) - (sqrt(343) + -3)) + -2*sqrt(448)*-2 + (sqrt(448) - -2*(sqrt(448) + 0))))**2.\nAnswer: 1248*sqrt(7) + 75748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1) - 36\/(-3). What is the highest common factor of 104 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:24 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -978, -2185, -3874, -6045?\nAnswer: -8698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -68, -43, -22, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 16*h + 180. Let p(n) = n**3 + 6*n + 60. Determine 3*k(d) - 8*p(d).\nAnswer: -2*d**3 + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5567621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14077.687 and -104.5?\nAnswer: 14182.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1810881*q**2 - q - 104523 wrt q.\nAnswer: -3621762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from ooaooaataomooaoo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -183*m**2 - 181*m. Let w be h(-1). Suppose -6*t = -2*t + 8. Do t and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2\/15, 0.2 in decreasing order.\nAnswer: 0.2, 2\/15, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4085?\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 25) + 8 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*10\/(-105))\/((-333)\/518).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4356)*1)\/((5*sqrt(60)\/sqrt(5) - sqrt(12))*6).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 7*r**2 + 82*r - 503. Calculate the remainder when 3347 is divided by c(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -36*y**2 - 47*y - 2. Let h(p) = 4*p. Give g(h(m)).\nAnswer: -576*m**2 - 188*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.343381 - -0.148647.\nAnswer: 29.492028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z = 5*d - 38*z - 9859, -4*d = -z - 7904. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 85 = -5*o - 93, 4*w + 4*o = 8. Let u(f) = 8*f + 1. Let m(t) = -33*t - 5. What is w*m(y) + 9*u(y)?\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10339152, 10339151, 10339148, 10339143, 10339136?\n\"Answer: -g**2 + 2*g + 10339151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Suppose 0*j + 93 = 3*r + 3*j, -4*r - 5*j + 129 = 0. What is the remainder when r is divided by (-17 - -3)\/(0 + f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(22\/(-1848)). Solve 0 = n*c - 115 - 95 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((5\/(-10))\/((-2)\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 44*v. Let k(o) = -7561*o + 5. Give b(k(r)).\nAnswer: -332684*r + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 119*g - 357. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 851228719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 586 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-19)\/57)\/((-4)\/(-30)). Let g(k) = k + 6. Let j be g(-6). Let h = -358\/3 + 118. Sort j, a, h in decreasing order.\nAnswer: j, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.13 + 0.13. Let j = y - 0. Put -2, -2\/25, j in descending order.\nAnswer: -2\/25, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(-7)*252\/(-144)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -68*k**3 + 17*k**2 - 17*k + 65. Let a(f) = -23*f**3 + 6*f**2 - 6*f + 22. Let u(c) = -17*a(c) + 6*j(c). What is the derivative of u(t) wrt t?\nAnswer: -51*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 14*v**2 - 13*v + 1. Determine n(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(45))\/(sqrt(81) + sqrt(81)*-1 + sqrt(81) + sqrt(81))*-4*2.\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83364483?\nAnswer: 3, 199, 311, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002922 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 888*c**2 + 458*c**2 + 992*c**2 - 349*c**2 - 68*c**2 + 1 to the form y*c**2 + n + r*c and give y.\nAnswer: 1921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3816007 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -220*p - 160*p - 115*p + 92*p - 2*p + 1 - 1 + (-3*p - p + 3*p)*(3 - 5 + 1) + 2 - 3*p - 2.\nAnswer: -407*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 5*d**2 + 15*d + 13. Let t be s(9). Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42511?\nAnswer: 7, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/9, -3, -53, 61?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*y - 56833000 = -70*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48614, -97221, -145828, -194435, -243042, -291649?\nAnswer: -340256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 26 - 37 + 7*z**3 - 32 - 8*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 10470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*u - 8. Let d be ((6 - u) + -5)*0. Suppose 0 = 5*v - 5*n + 3*n - 144, -5*v - 2*n + 136 = d. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 94 = 244 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5\/5 + 1553*q**4\/5 + 9257*q**3\/5 - 38657*q**2\/5 + 27846*q\/5 = 0 for q.\nAnswer: -1547, -9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 795.71 and 0.2?\nAnswer: 795.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5) - (4 + sqrt(5) + 1)) + sqrt(5) - sqrt(5)) - (2*sqrt(20) + -4)**2.\nAnswer: -86 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73850, -73858, -73868, -73880?\n\"Answer: -o**2 - 5*o - 73844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 - 43667.\nAnswer: -43667.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -169\nAnswer: -2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.015*135775.\nAnswer: 2036.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 1689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 11*n + 3. Let h be d(10). Let z(k) = -10*k**2 - 28*k - 19. Let x(a) = -3*a**2 - 9*a - 6. Let y(v) = -7*x(v) + 2*z(v). Is y(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -19\/5000525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8400145 = -2879855. What is g rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 76 = 2*r. Let l = -265 + 279. What is the remainder when r is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12177 + -256?\nAnswer: -12422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 29 = 4*d, -4*d + 15 = d + 3*l. Let c(b) = -4*b - 2. Let o be c(-2). Let v(i) = -i**2 + o - d. Let y(p) = 9*p**2. What is v(y(k))?\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jebsxseezxs. Give prob of picking 1 j and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*w**4 + 91*w + 85*w + w**3 - 160*w + 0*w**2 - 3*w**2 wrt w.\nAnswer: 744*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p + 975 = -45*p. Let z = p + 361. What is the smallest common multiple of z and (-2)\/10 - 533\/(-65)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 26, 1486, -25?\nAnswer: 1486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 996\/156 + -13 + 8 and -36\/247?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y + 2. Let t be i(6). Let l = 154 - 140. Calculate the highest common factor of t and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 9) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2466, 3 in descending order.\nAnswer: 2466, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 116, 264, 472, 740?\n\"Answer: 30*r**2 - 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**5\/30 - r**2. Let k(q) = -3*q**2. Let a(c) = c**2. Suppose 3*l + 14 = l. Let y(b) = l*a(b) - 2*k(b). What is w(y(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose -4*v = -3*f - 14, f + 5 = 3*v - z*f. Find the second derivative of 3*h**5 + h**5 - 2*h**v + 19*h - h**5 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = 1. Let k(b) = -b**2 - 7*b**2 + 3*b**3 + b + 4*b**2 + 2. Is k(p) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 12:38 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636 - 1258 - 8*m**2 + 2*m**2 + 6*m**2 + 2*m**2 + 2*m**2.\nAnswer: 4*m**2 - 622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-3)\/sqrt(6) + (sqrt(8) - -1*sqrt(8))*-1)\/((2*sqrt(32))\/((sqrt(2) - sqrt(4)\/sqrt(2) - sqrt(2))*1)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 5*h**3 + 7*h**3 - 15*h**3 + 25*h**3 - 15*h**3.\nAnswer: -3*h**3 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = 52. Let q(i) = i + 9. Let g be q(n). Solve g = -2*v + 7 - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222 = -493*b + 540*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -0, -2*k + 1390 = 3*p. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617*w - 2496 = -1521*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226873732?\nAnswer: 2, 349, 162517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-6) + 14 + -8. Let v(y) = -1 + 3*y - 4*y**2 - 3 + 3*y**2. Determine v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/3 + 3*b**3\/2 + 11*b**2\/2 + 1400*b. Let z(i) = i**2 + i. Determine -s(a) + 6*z(a).\nAnswer: 2*a**2 - 3*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1337*k + 344*k + 324*k + 332*k + 333*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 8*w**2 - 4*w + 45. Calculate m(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 8. Let j(k) = -k**2 + 5*k - 5. Let l be j(3). Suppose a = 3 + l, 5*a = 4*v - 12. What is the remainder when v is divided by s(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*b + 1221*b + 1216*b - 3663*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 5:49 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -204 (b) 3 (c) 1\/1824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165282467 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -8, 5, 0.3, 9, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/42 and -121\/996.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 82. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6220272593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2283025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 553227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, k: 3}. What is prob of sequence kkpk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 17*j**2 - 3*j + 2. Let b be y(-8). Do b and 95 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-432)\/8)\/(-6))\/(12\/(-16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*v = q + 5, 11 = q - 2*v. Let h = 4 - q. Calculate the remainder when 2 is divided by h + (-3 + 2)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(320)*1)**2 + 5.\nAnswer: 11525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/2527 and -87\/140068?\nAnswer: 980476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 326 + -83829?\nAnswer: -83503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29915231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1185, 2428, 3671, 4914, 6157?\nAnswer: 7400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5508849 + 2?\nAnswer: -5508847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -17580*k**2 - 1265752*k + 576 = 0.\nAnswer: -72, 2\/4395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*q**5 - 1060370*q**4 - 1180782560*q**3 - 72390194080*q**2 - 1143308707840*q - 46545141760 = 0.\nAnswer: -2132, -32, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/634?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 84.59. Let m = y + 0.11. What is the second biggest value in -3\/11, m, 5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:04 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*d - 843, -4*l + 0*d = -d + 1109. What are the prime factors of l\/8*(-4)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 + 6 = 4*b, b = -2*p + 8. Solve p = 3*c + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.652 + -43.545. What is k rounded to zero decimal places?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28390403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30150*g + 44149*g - 13992*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -124 - 257. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -47*s**4 + 23*s**4 - 2833 - 135*s**4 + 3058. Let k = -69 + 102. Let l(y) = 10*y**4 - 14. Let b(g) = k*l(g) + 2*m(g). Differentiate b(i) wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423924 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 33*s - 7*s - 6*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*p, -2*p + 0*j + j = -4. Suppose 4*a + 5*i = 142, -a = -5*a - p*i + 146. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(50) + sqrt(800) + -1 - sqrt(800)*5))**2.\nAnswer: -450*sqrt(2) + 11259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:08 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v - 38*v + 62*v - 35 - 9*v.\nAnswer: -4*v - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47912401 and -0.5?\nAnswer: 23956200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 + 3. Let y be z(-3). Let d = -44 + y. What is the highest common divisor of d and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/12 + 2\/8. Suppose r = -2*q + 14 + 4. Solve 0 = -5*y - q - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43890619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, -80 in descending order.\nAnswer: -3, -11, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + h - 1. Let w(c) = 9*c**4 - 4*c**3 + 3*c**2 + 2*c - 1561. Let r(b) = -2*f(b) + w(b). Find the first derivative of r(q) wrt q.\nAnswer: 36*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -4. Let c = -2\/8601 - 619258\/60207. Let k = c + 381\/35. What is the closest to r in k, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 6*(-2 + 0). Let s = -5 - -20. Let w = o + s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -778 + 981. Let g be 153\/(-63) + 4\/(-7). Sort g, -1\/4, a in increasing order.\nAnswer: g, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53896121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbssbbsbbsbbbb. Give prob of picking 1 s and 2 b.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + c**2 + 0*c**2 - 3*c**2 - 3*c + c**3 + 7. Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-6 - (-11 + 27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/70 + 32*i**4 + 28672*i**3 + 1310*i**2. Factor a(s).\nAnswer: 6*(s + 448)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4)*(k + 2*k - 5*k + (k + 2*k - k)*(-4 + 3 - 1)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let z(r) = -x - r + 2*r + 0*r + 0. Let h be z(7). Solve h*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86775 divided by 5?\nAnswer: 17355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g**3 - 6*g**2 - 23. Let z(a) = -a**3 + a**2 + 1. Let t(m) = -s(m) - 6*z(m). Differentiate t(k) wrt k.\nAnswer: 69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 5:28 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -211772 and -178 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11063871 divided by 91.\nAnswer: 121581","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 22705932253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05366386963 to 4 decimal places.\nAnswer: 0.0537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59, 242, 551, 986?\n\"Answer: 63*s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -4*p - 6*p + 151. Is 86\/7 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 73*d**2 + 8*d + 20. Is p(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 - 223*c + 114*c + 115*c + 2 + 19. Is a(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4344609 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187091, -187109, -187131, -187157, -187187, -187221?\nAnswer: -187259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3142*k**2 + 28*k - 49. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -3 - (2 - -3). Let v = h - -3. Let w be 2\/12 - (-174)\/36. Put w, -3, v in descending order.\nAnswer: w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353906676.\nAnswer: 2, 338476669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 39. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:48 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.77 - 0.902. Let m = -2.548 + o. Let p = -2.680398 - m. What is p rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**5 + 0*n + 0*n**3 - 1\/2*n**2 + 5 - 5\/6*n**6 + 0*n**4. Find the second derivative of w(o) wrt o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-8*t**4 + t**4 + 4*t**4 - 2*t**4 - 3*t**2 + 3*t**2 + (-3*t + 3*t + 2*t**2)*(-3*t**2 + 0*t**2 + t**2) - 4*t**4 + 2*t**2 - 2*t**2).\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:35 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/2 - -909)\/2?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (15 + -16 + (2 - -6)) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.2, -4, -1\/2, 666?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 + l**2 + 14*l - 3*l**2 + 2 + 10*l**2 - 7*l - 2*l**2. Let t(o) = o**3 + o**2 + o. Let p = -8 + 2. What is p*t(i) + s(i)?\nAnswer: -i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/5600835 and -37\/10.\nAnswer: 11201670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-164)*((-4)\/(-9))\/((-4)\/(-186)). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 224720*z + 898800.\nAnswer: 5*(z + 4)*(z + 44940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -13*d**5\/60 - d**4\/24 - 2*d**2. Suppose -3*o - 3*y + 0*y = -9, 2*y = 4*o. What is z(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 7*w + 37 = 55, 12 = 3*d + w for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 23?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3, 367 in increasing order.\nAnswer: -3, 0.5, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 89, 229, 415, 641, 901, 1189, 1499?\n\"Answer: -x**3 + 32*x**2 - x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-151)\/(-18) + -1 + 0 and 77\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18000 is divided by 8990?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 299477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 1. Suppose 4*h - 3*a = -3, -2*h = -2*a + 1 + 3. What is t(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -14 + 14 + 3\/1. Let z(h) = h**2 + m*h + 2 - 17 + h - 17*h. Is z(17) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 9.87\nAnswer: 1.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 349.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -28. Let q be 6 + (-3 - (-3 + c)). Suppose -5*t + 4580 = q*h, t - 4*h - 235 = 696. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 0.4. Let t = -13.94829 + 12.9482908. Let f = z + t. What is f rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6745\/(-15) + 1\/(-3). Let r be (a\/24)\/(3\/(-8)). Suppose -10 = 2*x + 4*q, -5*x - q + r = -6*q. Solve c - 5 = -4*k, x*k - 4 = -4*c + 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:33 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14)*(1 - -6). Suppose b*q = 2*t - 4*t + 8, -5*t - 8 = -2*q. Let w = -3 + q. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 14 = 13. Which is the fourth biggest value? (a) -0.4 (b) -2\/21 (c) 0.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -171212 (b) -0.2 (c) 0.2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172)\/(-1806)*(-21)\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -31, -44, -57, -70?\n\"Answer: -13*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -23*n**4\/12 + 4*n**2 - 28*n. Differentiate s(k) with respect to k.\nAnswer: -46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 - -93. Let c = j - -93. Suppose 4*q - 6 = -c. Do q and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3918 + -3923. Sort 1, -8, f in ascending order.\nAnswer: -8, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*b + 10310 = 119*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2, -0.4, -0.6, 4.\nAnswer: -53, -0.6, -0.4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -7. Let h be (-6)\/51 + 2\/17. Suppose o = x - h*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*s - 18 = 0, 4 = -5*s - 1. Let h be 2*((-6)\/f)\/((-40)\/210). Solve 0 = -2*i - 4*p - 10, 0 = -5*i + 2*i + h*p + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l + 5. Let a(t) = -8*t + 3. Let m(k) = -7*a(k) + 3*u(k). Let o be m(1). Factor -1\/3*x**4 + 0 + 1\/3*x**3 + 0*x**o + 0*x.\nAnswer: -x**3*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y - 1. Suppose -7*f - 3 = -24. Suppose -2*h + j = -5, 4*h + f*j - 8*j - 19 = 0. Give d(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 110258581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 257900 + -157724. Suppose 4*g - 20 = -0*g. Suppose g*k + 144824 = -l. What is k rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:36 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20134823 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 13*f**2 + f - f as m*f + v*f**2 + t and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7658 is divided by 331?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 + d**2 - 5*d. List the prime factors of y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3 + 17. Let y(d) be the second derivative of -2*d**3\/3 - d. Calculate j(y(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1300) + -3 + 5 - (1*(sqrt(1300) - sqrt(1300)*-2)**2 - sqrt(1300))).\nAnswer: -46792 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147908261.\nAnswer: 43, 937, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130065046*q + 130158882 wrt q.\nAnswer: 130065046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -15, -24, -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-124) + ((-269880)\/403)\/(-5). Solve 5*i - 4*b + o - 154 = 0, 3*i + 5*b + 25 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37690072 and 8076444?\nAnswer: 113070216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 1, b: 3, p: 1, n: 2, x: 3}. Give prob of picking 2 x and 1 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -346*m**7\/35 - m**4\/24 + 1130*m**3\/3 + 46*m**2 - 11. What is the second derivative of c(i) wrt i?\nAnswer: -24912*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/5)*c\/c**(5\/6) assuming c is positive.\nAnswer: c**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7847, 8080, 8333, 8618, 8947, 9332, 9785, 10318?\nAnswer: 10943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5753 - -5773. Put -0.2, s, 0.1, -0.5 in descending order.\nAnswer: s, 0.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 - 6*l - 5. Let f(v) = -v**3 + 4*v**2 + 8*v + 7. Let m(y) = 3*f(y) + 4*x(y). Let b(s) = -6*s**3. Calculate -6*b(g) + 5*m(g).\nAnswer: g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q + 54. Let c be a(9). What is the nearest to 0 in -2\/11, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 3)\/(-11) + 356 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 56*v**2 + 339*v - 18987. Calculate g(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -159427681\nAnswer: 318855362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106798261 to 7 decimal places.\nAnswer: 0.0001068","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y - 42*y = 2*b + 137 + 76, 11*y - 12*y - 4*b - 27 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -665588660*p**2 + 2034*p + 97368 wrt p?\nAnswer: -1331177320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2835.03471 - 2835. Round i to 3 dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196, 197, 198, 199?\n\"Answer: x + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Suppose -w + 0 = -2*i. Suppose -16 = -i*n - 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -111\/2 > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 446104*0.2\nAnswer: 89220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168067 is divided by 83914.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*r + 18, 2*o = 5*r - 2*o + 6. Suppose -r*t - k + 412 + 1063 = 0, 0 = -5*t + 3*k + 3693. What are the prime factors of t?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0, 5, -3791, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.6288l in millilitres?\nAnswer: 33628.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4982256 divided by 138396\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -326.9 and 0.5.\nAnswer: -326.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - 2. Suppose 0 = h - 3*h + 5*r + 26, -q*h - 3*r + 26 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**11\/2494800 - a**9\/151200 + a**8\/75600 + 3*a**5\/20 + 10*a**2. Let f(v) be the third derivative of b(v). Factor f(q).\nAnswer: 2*q**2*(q - 1)**2*(q + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9323847 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**6\/360 + q**5\/120 + 5*q**3\/6 + 2*q. Let p(k) be the second derivative of x(k). Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8946426 meters to micrometers.\nAnswer: 894642.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -1836626?\nAnswer: -1836621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4575800?\nAnswer: 2, 5, 137, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 10, 3\/11, -38 in descending order.\nAnswer: 10, 3\/11, -0.3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 14*v**3 - v**2 + 1. Let c be n(1). Suppose 3*i = c - 5. Let b = 8 - i. Solve b*q = q + 5*d + 25, 0 = -5*q - 5*d - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7520 - 2510 - 3473*v**2 - 2502 - 2508.\nAnswer: -3473*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -a1?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -24*i - 44. What is the lowest common multiple of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a + 5*a + (a + a + 0*a)*(1 - 4 + 2) - 59*a + 27*a + 28*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 30 = -w. List the prime factors of (-3)\/w - (-203)\/2 - 0.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let k be -1*(-2 + 1 + -27). Let o = k - n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4196613*c**3*v**3 + 1569482*c**3*v**2 - 2*c**3*v wrt v?\nAnswer: 25179678*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744 + 2658 = -180*u + 1082 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 4*d + 10. Let x(v) = v**2 - 5*v + 11. Let y(q) = -2*t(q) + 3*x(q). What is the remainder when 6 is divided by y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10001?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5621, 22590, 50879, 90488, 141417, 203666?\nAnswer: 277235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**2 + 2*o**3 + (-o**2 - 3*o**2 + 2*o**2)*(-2*o - o + o) + 2*o**3 + 3454*o - 6 + 2 - 3435*o.\nAnswer: 8*o**3 + 19*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/6 - -1)*-6. Let f = 6 + -11. Let z = -2 - 0. Put u, z, f in descending order.\nAnswer: u, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -1, -2, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18499 is divided by 4616.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b185 (base 13) to base 3.\nAnswer: 2010211111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - fe8d?\nAnswer: -fe90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 9*k**2 - k - 6. Let z be n(8). Let r(h) = 2*h + 25. Let v be r(-8). Suppose -v = -5*s + 91. Calculate the highest common factor of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 329 - 356.2. Let x = 26 + q. Let u = x - -0.2. Which is smaller: -17 or u?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 greater than or equal to 1601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99955076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48697 is divided by 415.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50306?\nAnswer: 2, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 123571 - 247179 - 12*u + 123585 as r + m*u and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 12*s**3 + 20*s**2 - 4*s - 1. Let a(w) = -35*w**3 - 62*w**2 + 11*w + 3. Determine -4*a(c) - 11*q(c).\nAnswer: 8*c**3 + 28*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 3*k + 1. Let r be d(-3). Let f = r + 2. Suppose y - f*y + 36 = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -748068, -1496152, -2244248, -2992356?\n\"Answer: -6*t**2 - 748066*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57102?\nAnswer: 2, 3, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56973351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23\/2, 3, 0.04, 1.6, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g. Let j(n) = 6092*n**2. What is r(j(q))?\nAnswer: -24368*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let w(c) = 8*c**2 - 7*c + 7. Let q(g) = -7*g**2 + 6*g - 6. Let m(p) = 7*q(p) + 6*w(p). What is r(m(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -3\/4, 1\/4, -1, 2\/15 in decreasing order.\nAnswer: 1\/4, 2\/15, -3\/4, -1, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34ad9 (base 15) to base 7.\nAnswer: -1266204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 29*d - 25*d + 22 = 0, 0 = -3*g - 5*d - 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l + 1163 = -2*f - 311*l, -70*l = f + 73*l - 146*l - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 132 - 46. Suppose 24*m**3 + z*m**2 - 45*m**2 - 5*m**3 = 0. What is m?\nAnswer: 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 220 = g. Suppose 54 = 4*x + 5*m, 3*m + 123 = 5*x + 37. Calculate the lowest common multiple of g and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:59 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.14, 0, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 - 11.23. Let v = 16 + u. Sort -2, v, 2 in decreasing order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*((sqrt(102) + (sqrt(102) - 1*sqrt(102)))*2)\/(sqrt(294) + -2*sqrt(294) + sqrt(6)))**2*-1.\nAnswer: -425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 4*y**2 + 5*y + 6. Let v(a) = a**3 - a**2 - a - 1. Let z(h) = -b(h) - 2*v(h). Give z(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*c - 3*t + 28, t = c + 1. Let n be (-30)\/40 - (-583)\/4. Suppose o = 5*o - q - 265, 2*o - c*q - n = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + 0*j + 5*j)*(-4*j - 4 + 4)*(-3*j + 0 + 0) as a + d*j + w*j**3 + l*j**2 and give w.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**4 + 6*j**3 + 6*j + 9. Let n(p) = p + 8*p**4 + 11 + p + 5*p**3 - 3 - p**2 + 3*p. Let k(f) = -5*c(f) + 6*n(f). Let k(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*v - 29, 3*w + 3*v = -2*v + 13. Suppose -7*u + 76 = w. Solve -a + 6*a = -u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101840 is divided by 872?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:52 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a + 7*a - 486 = 0. Calculate the smallest common multiple of a and 1022.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 52. Let c(h) = h + 26. Determine -5*c(l) - 2*q(l).\nAnswer: l - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3720 divided by 5\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**5\/20 + 5*z**4\/2 + 21*z**3\/2 + 16*z**2 + 43*z\/4 - 385. Solve q(f) = 0 for f.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -1 - -38*1. Let r = 46 - v. What is the greatest common divisor of r and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1005 and 855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2573 divide 86532563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6833261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.05. Let o = 0.198 + 3.762. Let x = o - w. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-18)*-4*(-1)\/5. Let r(m) be the second derivative of -1\/6*m**3 + 0*m**p + 0 - 8*m. Let q(k) = -10*k**2. Calculate r(q(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140*a**6 + 2280*a**2 wrt a?\nAnswer: -16800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 1035.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 1. Let t(w) = w**2 + 4*w - 7. Let q be t(l). Suppose -y - 2*p - q = -1, -7 = -2*y + p. Solve -2*s + 4 = y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5)*d**0)\/((d*d**(1\/2)*d)\/(d**(-7)\/d)) assuming d is positive.\nAnswer: d**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 + (1327 - 1369) + -1 + 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11678998, -11678992, -11678986, -11678980, -11678974, -11678968?\nAnswer: -11678962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.836 + -1.436. Put -2\/3, 313, y in decreasing order.\nAnswer: 313, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 9 = -f. Let b be -1*(f - (-4 + 5)). Solve 2*l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10638 (base 13) to base 6\nAnswer: 345050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8996930 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 758 + -506. What is the highest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9740496\/79 or 123298?\nAnswer: 123298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -281.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 443138 and 16214?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*o - 49 = -2*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjwj when four letters picked without replacement from {v: 4, j: 6, c: 1, w: 5}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 3*t**2 - t**2 + (4*t - t - 9*t)*(0*t + 0*t - t))*(-66 - 77 + 29 - 3 + 0 + 2 - 2 + 0 + 3 + (-1 + 1 + 1)*(2 - 2 + 2)).\nAnswer: -448*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h**(2\/37)\/h)*h**(8\/9)*h*(h*h**(2\/43))**(-1\/8) assuming h is positive.\nAnswer: h**(538855\/114552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p - 2. Let c be a(-4). Let d be (-8)\/(-1 - 3 - c). Solve -d*y + 2 = 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-33))\/(160\/240). Put w, -3, -0.28 in increasing order.\nAnswer: -3, -0.28, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) 0.02 (c) -1\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 45182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/42)\/(2\/(-6)). List the prime factors of h\/(9\/(-18)) + (-169)\/(-1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475) + -5 + 2 + sqrt(475) + sqrt(475))**2.\nAnswer: -90*sqrt(19) + 4285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5*a + 5 + 12*a.\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/23 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 1, s: 1, j: 1, b: 2, q: 1}. Give prob of picking 1 q and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -14.6. What is the closest to 2 in 2, 1\/8, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191723154 by -9129674.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(684) - (-3*sqrt(684)*-3)**2) + -1)*5.\nAnswer: -60*sqrt(19) + 554010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2306 and 0.237.\nAnswer: -0.0546522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 243, 1949, 6519, 15381, 29963, 51693?\n\"Answer: 238*j**3 + 4*j**2 + 28*j - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*6*(sqrt(152) - 2*sqrt(152)))\/(sqrt(128)*-4 + 3*(sqrt(8) + -3*sqrt(8) + sqrt(8))).\nAnswer: -24*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, -1.7, 48\/5, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1216599940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 204*i + 2*i**3 + i**3 + 0*i**3.\nAnswer: i**3 - 204*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 7*o**2 + 32*o - 110. Let p be j(5). Sort 392, p, -2, -4 in ascending order.\nAnswer: -4, -2, p, 392","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10070 - -10068. Let v = -937\/756 - 2\/189. Let k = 2.2 - 0.2. Which is the closest to -2\/7? (a) g (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 6*c**2 + 7*c - 4. Let w(l) = 21*l**3 + l**2 - 2*l. Let h be w(1). Let f = 25 - h. Give p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2667 divided by -4\nAnswer: -2667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -5 + 2 + 16\/(-1). Let l = k + 36. Let f be l\/35 + (-1)\/((-10)\/14). Solve f*q + 13 = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3186, -6257, -9070, -11493, -13394?\nAnswer: -14641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2 - 99*b - 621. What are the prime factors of d(-7)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*m*u + m - 18*u + 2 wrt m.\nAnswer: -67*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1491*d**2*y**3 - 3*d**2*y**2 + 2*d**2*y + 1309*d**2 + 2*d*y + 61*y**3 + 85*y wrt y?\nAnswer: 8946*d**2*y - 6*d**2 + 366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (-5 + (sqrt(1008) - (0 + sqrt(1008) - sqrt(1008) - sqrt(1008)) - sqrt(1008)) - sqrt(1008)))*-5)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 10. Let k be x(-5). Let a(z) = 18 - 4*z - 3*z**3 + 2*z**3 - 17 - 5*z**2. What is the tens digit of a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.37+-100.89\nAnswer: -113.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134671144 or 134671146?\nAnswer: 134671146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1015*o**2 - 12*o - 3. Let m(c) = -9135*c**2 + 112*c + 28. Give 3*m(a) + 28*x(a).\nAnswer: 1015*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200112121001 (base 3) to base 14.\nAnswer: 96dc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y + 10. Let w = 7 - 6. Let g be (w - 1) + 0\/11. Let z be i(g). What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 20, -14*a - 11 = -12*a - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 + 6*p. Let v be q(4). Let o(g) = g**3 + 3*g**2 - 9*g - 9. Let f be o(-5). Let j = v - f. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4306*p + 1 + 14*p**2 + 4306*p.\nAnswer: 14*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -11. Let x be (0 - t)*(-58)\/(-4). Suppose 0 = -4*n + 30 + x. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 909\/230128 + -1\/1514. What is the common denominator of n and 37\/266?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-2)*-2 - 1. Let f be 2\/13 - 126\/(-26). Let u = j - f. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2938 and 21809.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2303\/115 - -2127176\/106605. What is the common denominator of 10\/3 and w?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256*f - 54*f**2 - 256*f to c*f + d + x*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 56*o**2 + 162. What is w(56)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.0595 to one decimal place.\nAnswer: 277.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-nine halves of a kilogram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 55*z**2 - 70*z**2 - z**3 + (z**2 + 3*z**2 - 3*z**2)*(7*z - 9*z + 5*z) to the form i*z**3 + k*z + u + r*z**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*2217\/7*21\/((-252)\/(-8))?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -300*b**5 + 16420920*b**4 - 22988847*b**3 + 8046045*b**2 = 0?\nAnswer: 0, 7\/10, 54735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*k**5 - 6*k**2 + 82632*k.\nAnswer: 3040*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*((-f + 1 - 1)*(3*f**4 + f**4 - 2*f**4) + (3*f**3 - 2*f**3 + 0*f**3)*(5 + 4*f**2 - 5)) + (5488 - 5488 - 171*f**4)*(0 + 3*f - 2 - 1).\nAnswer: -517*f**5 + 513*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, t: 5, o: 1, a: 1, h: 3, b: 1}. What is prob of sequence toi?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 7*v**5\/54 + 11*v**4\/36 - 2*v**3\/27 + 31*v**2 - 2. Factor f(t).\nAnswer: 2*(t + 1)*(35*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 - 105. Suppose o*c = 24*c + 672. Is 44 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*h - 14 = -3*h, -4*m + 3*h + 20 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a**3 + 24*a**2 + 15*a + 2 = 0. What is a?\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002033 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288402 is divided by 7788?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*n + 57*n - 2344 + 60*n + 1182 + 1162.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159930919?\nAnswer: 159930919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/((-4)\/(-2))*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0 - -2)\/((-3)\/(-12)). Let p(r) = 6*r + 9 - 41*r + 33*r - 4 - r**2. Calculate p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13709 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -31. Let z(b) = -n - b - 3 + 15 - 7. Let f be z(-3). Solve -5*t + f*t - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.116 - 0.116. Which is the biggest value? (a) -4 (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/12*(-8028)\/60 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/30*1*(-1)\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*m**6 + 70241*m**5 - 87*m**2 + 209788*m - 2?\nAnswer: -6240*m**3 + 4214460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8346051202 + 0.637\nAnswer: 8346051202.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 188*c + 177. Calculate v(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2990482, 5981042, 8971602, 11962162, 14952722?\n\"Answer: 2990560*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 141325 (base 6) to base 8\nAnswer: 31765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -887 + -224?\nAnswer: -aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 40*t - 120 = -2*m - 5*m, m + 8 = -t + 18 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*a**2*y**3 - 13*a**2*y**2 - a**2 - 3*a*y**3 - a*y - 46*a + 4 wrt a?\nAnswer: -146*y**3 - 26*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3765)\/(-10))\/((-162)\/(-108)). Solve 234*p - n*p = -34 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/((-10)\/(-2516)))\/(-4). Let x = -63 - g. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -381*o - 33*o**2 + 67 + o**3 + 123*o + 129*o + 127*o. What is r(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 44900*a - 494505.\nAnswer: 5*(a - 11)*(a + 8991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/(-48) + 147840\/(-1440)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 6*t - 7. Let z = -37 - -171. Suppose 14 = -8*s + z. Suppose -2*y + 9*w - 35 = 4*w, 2*w + s = -5*y. Calculate m(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, -217 in decreasing order.\nAnswer: 3, 1, -1, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5721727915 to the nearest integer?\nAnswer: 75642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let f be (0 + 2\/d)*6. Solve -f*t + 15 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 9*k - 12. Let q = -14 - -12. Let x be b(q). Let z(s) = 53*s**2 + s. List the prime factors of z(x).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {e: 6, q: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:05 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k**8)**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(128) + sqrt(128) - sqrt(128))*3 - (sqrt(128) - 2*(sqrt(128) + 0))**2).\nAnswer: -125 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 - 16*f**2 + 10*f - 3. What is the least common multiple of t(7) and 14?\nAnswer: 11788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*z - 308*z + 634*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 2 - (16\/2 - 6). Solve 3*x = 5*x + 3*t - 11, -t = k*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {p: 7, r: 1, s: 3, x: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**2 + 2*h**2)*(-5*h + h - 4*h)*(0 - 2 + 1).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from gmrmmyylymmfl.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 543.4032 kilometers?\nAnswer: 543403200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -414\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 80. What is the second derivative of -12*m + 11*m - f + 4 - 20*m**5 wrt m?\nAnswer: -400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*l + 4105 - 454 = -4020 + 131 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 174.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/4, 1, 44?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62704743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17893 + -34.7.\nAnswer: -34.87893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 6*r + 269. Let a be (r\/(-15))\/(45\/(-150)). Let f(i) = 3*i - 12*i - 6*i**2 - 1 + 4*i**2. Calculate f(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 5*c**2\/2 + 4*c - 1. Let h be 22 - (0 - -3)*(-56)\/(-84). What is the hundreds digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295356771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 3*j**4 + 5*j + (-j**2 - 2*j**2 + j**2)*(8*j**2 + 16*j**2 - 5*j**2).\nAnswer: -35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -40 - 3 - -2) + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**5 + 7*l**4 - 7*l**2 - l + 7. Let q(a) = 2*a**5 + 2*a**4 - 2*a**2 + 2. Let r(d) = -2*n(d) + 7*q(d). Find the second derivative of r(h) wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.872 + 37.081. Let v = 38 - h. What is v rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n*n**(-6\/7)\/n*n))\/n*n*n)\/(n\/(n**(-13\/7)*n)))**(-23))**(-2\/9))**(-45) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:26 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose 2*k - 6 = 3*q - 8, -5*k = 3*q - 16. Which is the closest to q? (a) v (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37586858 rounded to the nearest one hundred thousand?\nAnswer: -37600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 51*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*z - 1 = 0, 4*w = -z + 66 - 29. Solve 2*m - w*m + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173178806?\nAnswer: 2, 19, 59, 77243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4016 (base 8) to base 12.\nAnswer: -123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-2*f + 0*f + 3*f) - 63 - 99*f + 63.\nAnswer: -97*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*m + 5*m. Let z = m + 14. Solve 4*q + z + 0 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 + 388 = 64*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -821170 to the nearest ten thousand.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 7:32 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3757 + 1878 - 4*u + 1879.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 24, -8, -52, -108, -176?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -221 - -226. Suppose m - 47 = -y + 171, 5*y + m = 1106. Suppose r*p - 4*p = y. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2 + 2. Let l(r) = -r**2 - 5*r - 5. Let v = -14 + 8. Let x(y) = y**2 + 6*y + 6. Let a(c) = v*l(c) - 5*x(c). Give a(q(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66 - 73 - 57 + 135 - 80*j wrt j?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Let f(k) = k**3 + 5*k**2 + 2*k + 3. Let y be f(-3). Solve -3*h = m*t, 4*t - 3 = -y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 255 = 287 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -104*q**2 - 6*q - 12. Let y(x) = -1561*x**2 - 91*x - 182. What is 91*t(z) - 6*y(z)?\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1093? (a) -1\/2 (b) -2\/5 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 3 - 3)*(-5 - 15 - 2) + (-5 - 1 + 3)*(8 + 2 - 5) - 4 + 5 - 2 - 1 + 2 + 2)*(-3 + 3 + 3*u).\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*d + 40*d + 520 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 + 81*v**2\/2 - 181*v\/2 - 1245\/2 = 0 for v.\nAnswer: -83, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 319?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9)*-2 - sqrt(9))*3.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8567738l to millilitres.\nAnswer: 856.7738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (3 - (6 - 9 - -5))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/613 (b) 1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20940*m**2 + 41812*m**2 - 2*m**3 - 20872*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(24\/(-34)) - 4. Which is the closest to i? (a) 3 (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Suppose 8 = 3*m - 1. Let i be m + 1 + 2\/(-2). Which is the second smallest value? (a) 0.1 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*r**2*u**3 + 64*r**2*u**2 + 5*r**2 + 2053*r*u + 2*r - 2*u**2 wrt u?\nAnswer: 168*r**2*u + 128*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 31. Sort 10, g, 3\/7 in increasing order.\nAnswer: g, 3\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 1\/3, -5\/2, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9 = y - 6*z, 4*y = -2*z + 26. Let r(x) = x**3 - 7*x**2 + 3*x. Is r(y) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3202*l + 1603*l + 1604*l = -3*m - 58, -602 = 43*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*a - 4119 = 4263 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*g + 27*g**4 - 212*g**2 + 212*g**2 wrt g.\nAnswer: 324*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-57)*(-122)\/1220\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*b + 37*b + 2356 + 3884 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.184025 + 1.196127.\nAnswer: 11.380152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = k - 20, 0 = -4*j + k - 2 + 17. What is the second derivative of q**2 + 9*q**2 + j*q - 9*q + q wrt q?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -4\/71526501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 30 = -11*q. What is the biggest value in -5\/3, 51.6, q, -5?\nAnswer: 51.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9*c**(-1\/17)\/c*c)\/(c\/(c\/(c*(c*c**4\/c)\/c*c*c*c))*c**(5\/4)*c*c*c) assuming c is positive.\nAnswer: c**(-157\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 252. Let c be 10659961\/(-65) + (1 - 8\/r). Round c to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*a**3 + 21*a**3 - 4*a**3)*(117*a - 271*a + 82*a) as f + r*a + w*a**2 + c*a**4 + l*a**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/154*2)\/(1165\/1398*(-2)\/10).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -359418 + 10423095\/29. Suppose 26351 - 6188 = -3*h. Let t = h + 53851\/8. Calculate the common denominator of c and t.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + -2. Let t = 190718014\/645 + -295687. Let o = -1\/43 - t. Sort o, b, -5\/4.\nAnswer: -5\/4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 161, 174, 201, 248, 321, 426, 569, 756?\n\"Answer: h**3 + h**2 + 3*h + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 14*l**2 - l + 39. Let r be w(14). Solve -3*m + 4*m = -q - 7, -4*q = 3*m + r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3836131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 55\/6, -3, 1\/4 in decreasing order.\nAnswer: 55\/6, 1\/4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 151*d**2 + 53. Is 29 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.68 - 9. Let f = 2 - 1.98. Let r = f + y. Which is the second smallest value? (a) -3\/4 (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -536*z + 512*z + 0 + 1 + 0 in the form u*z + t and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 4*h - 2 - 4*h + 3*h - h**4 - h. What is the first derivative of o(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7002)\/(-36))\/((-1)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 15*l**2 + 13*l - 7. Let n be b(-14). What is the second derivative of -r + 16*r**5 + r**5 - n*r + r**5 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18571455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 135. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*s - 0*s - 97, 2*w - 186 = -2*s. Let f = w + -96. Let l be (-1)\/(-3)*f*-3. Solve 4*c = -2*u - 10, 7*u - l*u - 27 = 3*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161236462.0000082 + 161236487. Let f = -26.4 + 1.4. Let l = w + f. What is l rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 s, and 1 d when three letters picked without replacement from uswwpppwudwisiis?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 21. Which is greater: x or -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 + 12*y + 2. Let g be x(-6). Suppose -5*j + 8993 = -g*h, 0*j - j - 2*h = -1801. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*j + 4 + 8 = 0, -j + 15 = -2*w. Let k(o) = o**3 + 7*o**2 - 9*o - 5. Let p be k(w). What are the prime factors of 2\/p*(-207)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 13281580 in decreasing order.\nAnswer: 13281580, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630180018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**35\/c)**(-2\/31))**(-31) assuming c is positive.\nAnswer: c**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.3586 from 134.\nAnswer: 143.3586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.015 + 21.015. Let y = 19 - r. What is the second biggest value in -4, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 50*u + 33. Determine v(15).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5445089 micrograms in nanograms?\nAnswer: 544.5089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 - -0.7. Let s = 1.96 + n. What is the closest to 0.1 in s, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 3*a - 10. What is the least common multiple of 16 and f(4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1754158 divided by -214\nAnswer: -8197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 1. Let q(p) = -1 + 15*p - 32*p + 16*p. Calculate a(k) - 3*q(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 - 8659*o + 363642\/7.\nAnswer: (o - 60607)*(o - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 5*z = -27, 3*z + 15 = 0. Solve -h + 2*h - 4*b = -21, q*h = -2*b + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -173, -0.07, 5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, 46, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(490)*4)\/sqrt(10))\/((sqrt(1008) - 4*sqrt(1008))*-2)*5.\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 33*k**2 - 3*k - 3. Let u(a) = -1584*a**2 + 143*a + 143. What is -6*u(o) - 286*y(o)?\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/12470 + 81031\/299280. What is the common denominator of o and 59\/156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 3003 + 273 = 0. Calculate the remainder when 881 is divided by b.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**3\/3 + 15*m**2 - 4*m. Is d(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/72 of a hour?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -18*y**4 + 20002*y**3 - 5197622*y**2 - 199693938*y - 1673164584 = 0?\nAnswer: -196\/9, -13, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (72\/(-3))\/(27\/(-90)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177 - -240. What is the second derivative of -35*t - 2*t**2 - 52*t + s*t - 3*t**3 wrt t?\nAnswer: -18*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 621, 2152, 4703, 8274?\n\"Answer: 510*u**2 + u + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 5*v**2 - 5*v - 1. Let j be h(-4). Let x(w) = 5 + w**3 + 3 - 3*w**2 - 11 + 3*w + 0. Calculate x(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/12 - (-6)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53376 divided by 6?\nAnswer: -8896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2464, 2, -20, 3, -1 in descending order.\nAnswer: 46, 3, 2, -1, -20, -2464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:30 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -25.4, -1\/2, -18, -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 723429 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + q - 80 = 6*q, 4*k = -2*q + 52. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 100*v - 76. Determine u(101).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/46)\/(186\/2139)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 14*l**2 - 18. Calculate u(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.89 + -0.11. Sort 1, -2.1, k in descending order.\nAnswer: 1, -2.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 789 = 3*f - 879, 2*f = -3*c + 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, 36, -0.08 in increasing order.\nAnswer: -0.08, -2\/37, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*y + 0*y - 69*y)*(13 - 11 + 17).\nAnswer: -3021*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -78. Suppose -2*r - 3 = 3. Sort 6, r, h.\nAnswer: r, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18929 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**9\/2520 + p**7\/315 + p**4\/4 + 8*p**2. Let c(z) be the second derivative of f(z). Find the third derivative of c(s) wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 891 = 9*q. Suppose 0 = 88*k - q*k - 105. Solve -k = -5*x, -4*x + 14 = d - x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 y when four letters picked without replacement from {x: 5, e: 1, y: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(275))**2 + sqrt(275) - (1 + sqrt(275))*-5 - (6*sqrt(891) + ((sqrt(88) + -4*sqrt(88) - sqrt(88)) + sqrt(88))\/sqrt(8)))*-2.\nAnswer: -568 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17) + (sqrt(17)*-1)**2 - sqrt(17)) + 3 + ((-5*sqrt(272))**2 - -4*sqrt(17)*2))*-1*1.\nAnswer: -6735 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) -1 (c) 1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, i: 16}. Give prob of sequence ii.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0162 and -5.063?\nAnswer: 0.0820206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60325 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u. Let v = -3 - -10. Let y(z) = 7 + z**2 - v. Give y(s(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -1\/60?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11*c - 100 = 0, n = 2*c + 246 - 240 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, -1\/2, 2, -0.065?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.3 (c) 5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-18)\/(-8) + -3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/7, -0.4, 2, 1\/2 in descending order.\nAnswer: 2, 1\/2, 2\/7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160076451\/20 - 8005609. Let m = -1787 - d. Calculate the common denominator of m and 167\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-165)\/30)*-1. Let h(r) be the first derivative of 0*r - s - 4*r**2 + 1\/4*r**4 + 5\/3*r**3. Give h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkbafxbr. What is prob of sequence fkx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-2)\/(-1). Let i = -2 - r. Determine t, given that -2*t - 4*t**3 + 3*t**3 + i*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -98. What is the third smallest value in 0.1, 15, f?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 94*v**2 - 813*v + 809. Calculate z(36).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364520671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (11225\/20 + 9)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2067 + -504024?\nAnswer: -501735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from uppmudpmmpmmnmdummmu.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 97036.\nAnswer: -1\/48518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 6, -262 in increasing order.\nAnswer: -262, -26, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.038 - -0.038000119. Round l to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0.58, 2, 0.01, -3, -1 in increasing order.\nAnswer: -3, -1, 0.01, 0.58, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -840116\nAnswer: -1\/420058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (630\/196)\/45 - 34089\/(-14) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(252) + 1)*-6 - sqrt(252))**2 + -3).\nAnswer: 1008*sqrt(7) + 24762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*n - 2 = -271*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - u + u + 0. Let z(h) = 3*h - 5. Let a(w) = w - 1. Let i(p) = 10*a(p) - 2*z(p). Give i(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*d**3 + 149*d**3 + 148*d**2 - 450*d**2.\nAnswer: 2*d**2*(d - 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -4. Let l = 115 - 110. What is the closest to 0.6 in -3, l, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31945428.\nAnswer: 2, 3, 98597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-7)\/2)*-4. Suppose n*i = -3*i + 160. Solve x + 7*x = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 46 = 3*l, -i + 19*l + 20 = 18*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-3)\/3 - 3. Suppose n*m - 10 = -2*m. Suppose m*o - o = 16. Solve -9 = o*b + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 5, -5 in descending order.\nAnswer: 5, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(1*sqrt(7)*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -445\/14. Let q = -9\/7 - c. Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. Let r(f) = 2*f + 1. Let y be r(i). Let h(p) = p. Let g(l) = 7. Let s(n) = g(n) - 2*h(n). Let d(w) = w - 3. What is y*s(b) - 7*d(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3531 = x. Suppose -5*g - x = 1373. Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, 15, 5, 3626.\nAnswer: -23, -3, 5, 15, 3626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394394089?\nAnswer: 394394089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 21 + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2001)\/(-58))\/69)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3476 and 13904.\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 14. Give p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 297*z - 292*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h**2 + 2. Let j(v) = 2*v + 22. Let b be j(-12). Let q be (b - -2)\/(6 - 5). Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:49 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + l + 2. Let r be t(-2). Let d be 5 + r\/(0 + -4). Suppose c - d*c = -3*n - 57, -c + 50 = 4*n. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 401125?\nAnswer: -401133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -121 and 3.891?\nAnswer: 124.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-7))\/(530\/(-1113)*9\/(-6)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in 4\/5, -5, -1\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(273\/(-90)) + 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -25. Let v be 20\/(-12)*4 + 7. What is the second biggest value in 5, 0.2, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 3355455265?\nAnswer: 3355455260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4\/5, 1\/3, -19, -5, 0.1 in descending order.\nAnswer: 4\/5, 1\/3, 0.1, -0.1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 5*a**2 - 8*a + 12. Let n be q(6). Suppose -m - 2*i + 158 = i, n = 3*m - 2*i - 441. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-8) + (-5782960)\/(-640). Which is greater: 9037 or t?\nAnswer: 9037","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 1\/6*o**4 + 0*o - o**2 + 1\/12*o**5 - 1\/120*o**6 - 7\/6*o**3 + 0. Calculate the remainder when h(5) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:45 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2, 3\/8, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)\/p**(2\/61))\/(p\/(p**(-13)\/p))**13 assuming p is positive.\nAnswer: p**(-71321\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3886*u**3 + 5*u**2 + 6*u. Let k be r(8). What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 12, o: 1}. Give prob of sequence oz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 21*q - 3*f = -55, 4*q = 5*f + 79. Suppose q = -a + 28. Solve 0 = 3*o - 8*r + 3*r + 22, -a = 4*o + 2*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7568818 and -95862.\nAnswer: -7664680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -226324 (base 9) in base 2?\nAnswer: -100001001010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 536 and 2546.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = i. Let x(z) = 0*z**2 + 2 + z**i - 3*z**2 - 2*z**3. Let k be x(-3). Which is the closest to 1\/3? (a) k (b) 1\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**4*o**2 - 106*k**3*o - k**2*o**2 + 113*k**2*o - o wrt k?\nAnswer: -168*k*o**2 - 636*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 3. Let v(c) = 5*c**2 - 79*c - 25. Give 8*j(p) + v(p).\nAnswer: -3*p**2 - 71*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:09 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-9)\/(-6))\/(-1))\/(15\/(-50)). Suppose -13 = 5*k - 63. Let h be k\/(-8)*(-2)\/(-10). Put t, 4, h in descending order.\nAnswer: t, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 + 174. Let t(l) = -l**2 + 12*l + 1. Give t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 73. Let s = 35 + b. What is the greatest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {c: 6, p: 1, v: 12}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -135.4 + 1339420\nAnswer: 1339284.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 34448.3177?\nAnswer: -34448.2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 60885068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -1, 2 in increasing order.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**2 + 2*x**5 + 6*x**2 + (-3*x + 3*x + x**2)*(5*x**3 + 0*x**3 - 4*x**3).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*v = 16, -76 = -5*u + v - 60 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**7\/336 + 67*c**6\/240 + 71*c**5\/160 - 203*c**4\/96 - 35*c**3\/24 + 17*c**2\/2 - 39*c - 6. Solve m(w) = 0 for w.\nAnswer: -2, -1, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22)**(-5\/12)*a**37\/(a\/(a\/a**11)) assuming a is positive.\nAnswer: a**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/27251 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 2*l**2 + l - 1. Let y(v) = -5*v**3 + 603*v**2 + 89403*v + 88801. Let j(a) = 6*b(a) - 2*y(a). Factor j(w).\nAnswer: -2*(w + 1)*(w + 298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*g + 45, -3*a - 31 = -0*a + 5*g. Let x = 2 - a. Suppose -4*d = -0*d - 72. What is the highest common divisor of x and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*g + 344 = 0, -5*a + 0*g + 5*g + 345 = 0. Let r = a - 60. Is -2 + 4 + (r - -159) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115600035.\nAnswer: 3, 5, 7706669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103491 - 71653. List the prime factors of b.\nAnswer: 2, 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 6 = 30 + 12 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7750.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 2*g + 7. Let d be y(6). Let w = d - 64. Solve -2*k = 4*j + 30, j + 25 = -w*k - k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 - 1325*u**2 + 6646*u - 5320 = 0.\nAnswer: -1330, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -136*s**2 + 14*s + 162. Let d(f) = -271*f**2 + 36*f + 324. Let i(l) = 2*d(l) - 5*k(l). Find the second derivative of i(o) wrt o.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59208769*x**3 + 25*x**2 - 883106.\nAnswer: -355252614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17590.\nAnswer: 2, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - 3*v**2 - 2*v + 1. Calculate z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*z**3 - 46*z**3 - 68*z**3)*(1 + 0 + 0) + (-8*z**2 + 0 + 0)*(-4*z + 3 - 3) + 5*z**3 - 4*z**3 - 3*z**3.\nAnswer: -55*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 448 - 447.063. Let j = -0.063 - t. What is the nearest to j in -0.1, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 2*t + 16*t**3 + 1 - 14*t**3 in the form m*t + u + o*t**2 + s*t**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from {l: 9, t: 8, h: 2}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/3 - 2*k**3 - 200*k**2\/3 - 8*k + 1056 = 0. Calculate k.\nAnswer: -6, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6884053 is divided by 4059?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*w + 4588 + 748 = 68*w. Let a = 225\/7 + -3875\/126. Find the common denominator of a and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/19))**(-9\/10)*x\/x**(4\/3)*x\/x**(-6\/13))**22 assuming x is positive.\nAnswer: x**(84238\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32431369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 17. Let l(z) = -4*z - 2. What is l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 - 214684*m**3 - 2880898248*m**2 - 8641192016*m - 5760508448 = 0?\nAnswer: -26834, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {f: 1, j: 2, n: 1, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 1065 = -c. Let s = c - 47. Let v = -13 + 26. Calculate the remainder when s is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-8 - (9 - 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9079 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -21. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 35*g**3\/18 + 10*g**2 + 50*g\/3 + 832. Factor j(c).\nAnswer: 5*(c + 2)*(7*c + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/6 or 2.6?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 79*u + 42. Let k be g(40). Suppose 49\/3*l**3 - 8\/3 - 70\/3*l**k - 52\/3*l = 0. What is l?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 94829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + g - 21, -z + g = 9. Let x(c) = -c + 5. Let t be x(5). Let a = 5 + -5. What is the closest to t in a, z, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdiynoi. Give prob of picking 1 i and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 31 = 5*r, 5 = -2*r - 5. Suppose -5*q + 4*q = -d. Suppose q*k = 9055 + 1445. What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/3 + c**4 + 2*c**3\/3.\nAnswer: c**3*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/12 - 17*u**3\/6 - 13*u**2\/2 + 5*u. Let d be k(14). Calculate the common denominator of 12 and (-5)\/d*(-1 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -126?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {d: 2, o: 11, t: 1, n: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Let b = 378 + -378. What is the nearest to u in -2\/3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5*k - 2*k)*(-2*k + 0*k + 4*k) + 0 + k**2 + 0 + k**2 + 0*k**2 + 0*k**2 + 2 + k**2 - 4*k**2 - 3.\nAnswer: 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 41*d - 211. Calculate g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16756\/609 + 614\/21. Calculate the common denominator of s and -119\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:52 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**15*j)\/j)\/j*j*(j*j*j**(4\/7)\/j)\/j*(j**(-1\/2))**(2\/9) assuming j is positive.\nAnswer: j**(1037\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633 = -2*z + 5*t + 1512, -2*t + 14 = 0. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108604 - -60315.\nAnswer: -48289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {a: 5, h: 5, q: 2, d: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**6\/360 - j**5\/24 - j**4\/12 + 2*j. Let h(c) be the third derivative of t(c). Suppose -27 + 2 = 5*i. Determine h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105.5 - -104.5. Which is greater: m or 2299?\nAnswer: 2299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 572818.617 minutes?\nAnswer: 56.82724375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:45 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 1206, 2564, 4474, 6936, 9950?\nAnswer: 13516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 574*b - 4681068\/13.\nAnswer: -2*(b - 2933)*(b - 798)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61876639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 1 y when three letters picked without replacement from {s: 5, u: 1, y: 7, p: 1, l: 2, n: 1}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 40 = -5*w, 2*f = -f + 5*w - 8. Suppose -y = -f*y. Let p be ((y\/(-1))\/3)\/3. What is the closest to -2 in 0.5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*a = 550*a - 10787 - 102510 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5415901, -10831826, -16247751, -21663676, -27079601?\n\"Answer: -5415925*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-28)*d)\/d)**(1\/12)*(d*d\/(d*d**(-47)))\/d*d*d*d*d\/(d*d**(-44)) assuming d is positive.\nAnswer: d**(275\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 56 = 17 - 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264184\/9 - -29354. Let d(c) = -c**2 - 4*c + 2. Let f be 66\/(-14) - (-8)\/(-28). Let k be d(f). What is the closest to -1 in n, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one quarters of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1227, -1232, -1241, -1254, -1271, -1292, -1317?\n\"Answer: -2*m**2 + m - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11498 + -10287. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6.05 (b) -47 (c) 3 (d) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13043764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.48264 rounded to 0 dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54443016?\nAnswer: 2, 3, 84017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114764483*p**4 - 9261760*p**2 - 4*p wrt p?\nAnswer: -2754347592*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 41*r**8\/28 - 5*r**7\/42 + 629*r**4\/6 - 173*r - 9. Find the third derivative of c(n) wrt n.\nAnswer: 9840*n**3 - 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/45*9)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 28\/11, -5, 0 in decreasing order.\nAnswer: 28\/11, 0, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -13*g**2. Let u(v) = -2*v + 9. Let k be u(7). Let q be (-2)\/(-2)*(k - -1). Let o(z) = -6*z**2. Let x(t) = q*w(t) + 9*o(t). Let x(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 1, y: 2, e: 2, n: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2186*y - 793483. Give k(363).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 24*q**2 - 3*q + 28. Suppose v + 15 = 2*v. Calculate the remainder when v is divided by f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*q**2 - 60*q**2 - 13*q**2.\nAnswer: -274*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153 + (114 - (37 - -135)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21005751+1\nAnswer: -21005750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14635622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k + 47*k + 219*k to d + h*k and give h.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-9)*0 - 14\/(112\/(-72)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 1. Let j(x) = -176*x - 6490. Let s(k) = -7*k - 262. Let u(y) = -4*j(y) + 99*s(y). Give -66*f(c) - 3*u(c).\nAnswer: 33*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 0*l + 7*l + 1 + 2*l - 1 + (-2*l + 4*l - 3*l)*(3 + 1 - 6))*(2*l + l**2 - 2*l)*(0*l + 0*l + 4*l) as i*l + x + u*l**2 + r*l**4 + w*l**3 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-12)*(-16)\/(-6). Suppose -a + 5*w + u = -3*a, 0 = -2*a - w + 4. Calculate the remainder when 63 is divided by (-1 - 0)\/(a\/(-64)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from elbbbdbdugbldl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.5 (b) 4 (c) -0.5 (d) -163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3618*l = 3608*l + 1120. Suppose -4*s + 84 = -s. What is the highest common factor of s and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 12 - 2 - -13) + (125 - 125)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(4\/7)*m)\/m*m**(1\/2)*(m**1)**50)\/(m**6\/(((m\/m**(1\/3))\/m)\/m*m))**(-2\/41) assuming m is positive.\nAnswer: m**(91921\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 16*g - 24. Let o be r(6). What is the hundreds digit of (-3)\/o*2 + 24855\/90?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Let n = -841 - -839. Put a, 5, n in ascending order.\nAnswer: n, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 981 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g\/g**(-2\/27))\/(g**(3\/2))**(-20))**(-7) assuming g is positive.\nAnswer: g**(-4928\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f - 408 = 0. Let s = 204 + f. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -506*q - 263*q - 1792*q + (3 - 4 - 1)*(-4*q + 0*q + 2*q).\nAnswer: -2557*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**2 + 13*i - 3. Let t(z) = z**2 + 4*z - 1. Give 2*h(w) - 7*t(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 26*r + 4*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 + 2*u**2 - 4*u - 7. Let w be t(-2). What are the prime factors of (-58)\/(-10) + w\/(-35)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877854 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23235 - -14798. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1105, 4426, 9965, 17728, 27721, 39950, 54421, 71140?\n\"Answer: u**3 + 1103*u**2 + 5*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - s - 18*s.\nAnswer: -29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5333\/344 + -1\/344. Find the common denominator of k and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 1012325101?\nAnswer: 1012325051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(4\/(-64)*-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200518 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 56 - 624*k**2 + 107 - 4*k + 623*k**2 to f + b*k**2 + j*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 2*r**2 + 20 + 0*r**4 + 2*r**4 + 5*r**4 + r**3 - 6*r**4 in the form n*r**4 + y*r + l*r**2 + i*r**3 + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 2)*(1 - 1 + 3*j) + (-2 - 1 + 4)*(2*j - j + j) - 3*j + 0*j + 4*j + (0 + 0 - 1)*(3 - 2*j - 3) - j + 6*j - 3*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148500707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39454 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d + 18. What is x(14)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*k + 6 = -508*k + 34 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-4 - (-10 + 0 - -1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 72*4770.626\nAnswer: 343485.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -v + 12, -t + 11 = 3*v. Let f be ((-28)\/(-2))\/(-1)*v. Let m = f + 54. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-134)\/(-4))\/((-8)\/6). Suppose l - 87 = 3*d + 2*l, 2*d - l + 58 = 0. Let q = t - d. Calculate the common denominator of q and -47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 7 + 5 + v**3 to g*v + a*v**2 + l*v**3 + z and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2219 and 19\/3170?\nAnswer: 22190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5722*m - 3827961. Calculate s(669).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 292918, 585887, 878844, 1171783, 1464698, 1757583, 2050432?\n\"Answer: -t**3 + 292976*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v. Suppose -13*t + 8 = -9*t, -3*m = 2*t - 13. Sort m, -6, v.\nAnswer: -6, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 5, q: 5, r: 2}. Give prob of picking 2 r and 2 q.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14049\/11 or 646?\nAnswer: 646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208482, -208484, -208486, -208488, -208490, -208492?\nAnswer: -208494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 - 4 + 3*k + 28*k**2 - 30*k**2. Let u = -5 - -6. Let v be f(u). What is the second smallest value in 5, v, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 8:02 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.89 + -10. Let q = h - 0.59. What is the fourth smallest value in 0.08, q, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 75 - 0. Let x be (6\/4)\/(q\/(-10)). Let h(i) = 67*i. Is h(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (-38 + 38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71794?\nAnswer: 2, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88 and -2.7.\nAnswer: 237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7393, 7546, 7685, 7810, 7921, 8018, 8101?\n\"Answer: -7*v**2 + 174*v + 7226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**18*t\/(t\/(t\/(t**(-31)*t*t))*t))\/(t**(-4\/11))**(-3\/11) assuming t is positive.\nAnswer: t**(5796\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -48812.41 rounded to the nearest 100?\nAnswer: -48800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 1 e when three letters picked without replacement from emebzezbxebzmeezeb.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*p - 882*h - 27425*p - 9 wrt p?\nAnswer: 2*h - 27425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36878373.\nAnswer: 3, 7, 19, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) + 1 + 1)*-2.\nAnswer: -8*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -12210?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/51 + -23\/153. Suppose -w = -5*g + 15, 5 = 4*g + g + w. Suppose 2 + 1 = -g*i - a, -3*a = -3*i - 9. What is the nearest to 0.1 in i, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 - -42) - -5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7704 and 3105072.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61579 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11950.955 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 53*x + 1. Let u be f(1). Let g = 17 + 19. What is the highest common divisor of g and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - 28\/(-32)*2. Suppose u*y + 121 = 359. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:06 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - (6 + (-7 - -7))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-6 - -1) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.75 (b) 2\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 13\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.081 millilitres in litres?\nAnswer: 0.595081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from tijiitjijjiittiii.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = s - 2*z, -2*s + 21 = 3*z - 4. Suppose 3*b - v = v + s, 5*v = 2*b - 4. What is the third derivative of -4*n**2 + 45*n**6 - 29*n**2 - b*n**2 wrt n?\nAnswer: 5400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -20, -23, -32, -53, -92, -155, -248, -377?\n\"Answer: -i**3 + 3*i**2 - 5*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 12*t - 7. Let u be q(-9). Suppose -h = -2*h + u. Let n = -258\/13 + h. Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 48*m - 269. Let s be y(7). Which is the smallest value? (a) -1.4 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96, -218, -340, -462?\n\"Answer: -122*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 20*t + 27. Let x be q(10). Suppose x*z - 10*z - 10*z = 0. Which is smaller: -3\/149 or z?\nAnswer: -3\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:49 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 1, k: 1, b: 2, c: 2}. What is prob of picking 1 n and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 1\/2*w + 1\/2*w**2.\nAnswer: (w - 3)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-37)\/7)\/(342\/(-2394)). Calculate the highest common divisor of j and 8917.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491 - -213. Let z = -3612\/13 - l. Which is the closest to -1\/7? (a) z (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9387834 by 1564639.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**3 - 42*n**2 - 36*n - 17. Calculate f(9).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2334.062689 + -0.23.\nAnswer: 2333.832689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 36. Suppose -3*j + 59 = f + 29, 2*j = 5*f + 37. Suppose -4*k + j = 3*l - 23, -3*k - 2*l = -26. What is the remainder when x is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25465539 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.3, 15966, 701 in decreasing order.\nAnswer: 15966, 701, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 121*r**2 + r - 1. Let m = -193 + 352. Suppose -3*l = -3*b + 66 - m, 31 = l + b. What is the remainder when c(1) is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 22726, -2804?\nAnswer: 22726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(720) + 1 + sqrt(720) + sqrt(720))**2*-6.\nAnswer: -69126 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 3. Let o(l) = 2*l + 5. Let a be o(5). Suppose -3*s = 2*s - a. Suppose -6 = -s*b - 18. Determine k(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a25a + 1?\nAnswer: a25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 + f**2 + f + 1. Let g be t(-2). Suppose 89 = 6*r - g. Let s = r + -22. Sort s, 5, -4 in increasing order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-2)\/16)\/(51\/(-68))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46515655.\nAnswer: 5, 17, 31, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742\/(-40937) + 59241\/(-611)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, -445, -419, -375, -307, -209, -75?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:34 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -73. Let n = -0.6 + -2.4. Let t be (-31)\/(-110) + 8\/(-44). Which is the third smallest value? (a) k (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*(259 + 1)\/((-320)\/(-128))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4 + 1. Let z = f + 27. What is the remainder when 49 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/426*(-2)\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 37241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {i: 1, a: 1, x: 2, p: 2, o: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1808\/904)\/(-1 - -1 - -1). Solve -p*c + 3*h + 6 = 5, -3*c + 5*h = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4516 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92288*i**4 + 561*i**3 + 172800776*i**2 wrt i.\nAnswer: -2214912*i + 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 9517 = 9*g + 3049. What is the greatest common factor of g and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/4 + 2*z**2 + 2*z - 26. Let m be f(-2). Solve m*o**2 + 2\/9 + 4\/3*o = 0 for o.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b + 15 - 17 - 25 - 37. Let y be 1\/((-21)\/(-133))*(4 - 7). List the prime factors of u(y).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*g = 3*g + b, -3*g + 2*b - 6*b + 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o + 2*o**2 + (0*o + o + o)*(-5*o + 0*o + 2*o) + ((2 - 4*o - 2)*(0 + 1 + 1) + o - 2*o + 0*o)*(-o + 2*o - 3*o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.5 - 6. What is the biggest value in x, -0.5, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31575\/232 or 2?\nAnswer: -31575\/232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*s + 21 + 329. Solve -5*h + 12 = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 650182\/703 - 36495\/38. Let m = -1\/37 - s. Which is bigger: m or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 8) to base 2.\nAnswer: 1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11956 (b) 1814 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4048 - 4048 - 769*a**2.\nAnswer: -769*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1253347, -1253352, -1253357, -1253362, -1253367?\nAnswer: -1253372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32990901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.4 (c) -111695.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1535*i**3 + 2*i. Let j be o(2). Let p = j - 110005\/9. Let m = p + -61. What is the second biggest value in 1\/9, m, -0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 141.4618 minutes?\nAnswer: 8487708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + l + 1 + 2*l + 2*l + 2*l + (0*l + 4*l - 2*l)*(2 - 2 - 1) + 200*l - 69*l + 162*l + l + 0*l + 0*l.\nAnswer: 299*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046*-1.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, -3, -371, -1\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rppprpppppppp. Give prob of picking 3 p and 1 r.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 48 - ((-166 - -458) + -336)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -85200000 to the nearest 1000000.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - n = -2*n + 379, -2*b - 4*n = -266. Suppose -28*u**2 + 1000*u + 40*u**3 - 1250 - b*u**4 + 123*u**4 - 272*u**2 = 0. What is u?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = m - 10, -2*m = 4*t + 6 - 2. What is the derivative of -2*s + m + 6*s + 0 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:17 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 + 34*j**3 - 19*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 - z + 6. Let n be f(5). Let j be (-3)\/((-27)\/n)*-6. Suppose -4*v + j = -0*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3354 take away -395205?\nAnswer: 395212.3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1563 (c) -0.1276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 183\/5. Is -0.4 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 69951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 5*c**2\/2 - 19. Let x be w(5). Solve 4*j - 6 = -x*j - n, 2*j - 2*n = 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 9 + o**2 - 3*o**2 + 16*o + 1 - 5. Let u be h(8). Which is the nearest to 1? (a) u (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 14*w**2 - 32*w**2 + 110*w**2.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p + 61. Let z be f(8). Solve 4*l = -r - z, -3*l = 4*r + 11 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(612))*2*-6 - ((-1*sqrt(170)*2)\/(5*sqrt(50)\/sqrt(5)))**2)*-2.\nAnswer: -2264\/25 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 + 39*c**4 - 250*c**2.\nAnswer: -60*c**2 + 936*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 2*o**2 + 0*o**2)*(-3*o**2 - o**2 + 5*o**2 + (-o - 3 + 3)*(-1 - 2*o + 1)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + (-34)\/(-6). Suppose 0 = -2*g - 5*n + 4 - 31, -5*g + 2*n = -m. What is the remainder when 31 is divided by ((-88)\/(-24))\/(g\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3082 and 32696670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 35)*24\/15. Let o = 70 + -106. Let t = o - g. Solve a + 3*a - t = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-4 + 4\/(-4) + 3). Suppose -4*a - f = f - 10, -16 = -a + p*f. Let t be (-1 - -2)*0\/a. Solve -i - 8 = -5*g, -i + t*i = -2*g + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eighteen sevenths of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + x**3 + 0*x**3 + (x - 6*x + 4*x)*(x**2 - x**2 - x**2))*(-4*x + 4*x + x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2\/((-12)\/(-8) + -1) and 2 + 3*4 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 25 = 0, -2*d - 3*z + 20 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*s + d, s + 2*d + 4 = -4. Let n(f) = f**3 + 7*f**2 - 10*f - 13. Let m be n(s). Is ((-3725)\/(-5))\/(m + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -29*t - 29. Let u(y) = -10*y - 10. Let l(o) = -4*f(o) + 11*u(o). Find the first derivative of l(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 230, 1154, 2742, 4994, 7910, 11490, 15734?\n\"Answer: 332*f**2 - 72*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 105. Suppose 2*m = -4*u + 64, 5*u - 8*m - 50 = -3*m. Calculate the highest common divisor of u and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + -4*((sqrt(252) - (sqrt(252) + sqrt(252)*-1)) + 5 - (1 + sqrt(252) + 3))**2 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28613.\nAnswer: 13, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-1*3624)*248\/(-93))\/(6\/27).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1349 and -53\/11.\nAnswer: 14839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42275130?\nAnswer: 2, 3, 5, 1409171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 1830951044.91?\nAnswer: 1830951044.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32355109 to the power of 1\/2, to the nearest integer?\nAnswer: 5688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence giii when four letters picked without replacement from guuiiiuiwiiiii?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*z - 2574 + 5153 - 2580.\nAnswer: 328*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63 - -217?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5 + 8*o**4 - 100*o**3 - 440*o**2 - 624*o - 288 = 0.\nAnswer: -3, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37730274 to the power of 1\/2, to the nearest integer?\nAnswer: 6142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22099\/141 + 56\/141. Let w = -155 - z. Which is the second smallest value? (a) w (b) 2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40360 and 32840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -861, 521, 1 in descending order.\nAnswer: 521, 1, -861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3194 - -6865. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96380, -96195, -96000, -95789, -95556, -95295, -95000?\nAnswer: -94665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/304 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2 - 309*g + 1397. Give u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -r - 0*r - 15, 17 = -3*r - l. Let m = -1 - r. Solve 4*o + m*c = 0, 2*c = 4*o - 0*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o = 174*o + 57590. Is o at least as big as -448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -42*f**2 - 798*f + 26. Determine d(-19).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19506080.\nAnswer: 2, 5, 11, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 236596*f**2 + 12765320*f - 47276000 = 0. What is f?\nAnswer: 4, 50, 59095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g - 2. Give v(-6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -6.4478.\nAnswer: -6.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 175*i**2 + 223*i - 53. Is j(-52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unv when three letters picked without replacement from {b: 7, u: 2, v: 1, n: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 7*j = -3*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4057104 divided by 1352368?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -6.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 11*i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4 and 53\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/2)*v)**38*(v**(2\/7))**(-37) assuming v is positive.\nAnswer: v**(591\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 14492?\nAnswer: 23\/14492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0058 - -0.01281. What is c rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.99 + -1.49. Let f = 0.97 - -0.03. Put f, q, 5, 2\/25 in descending order.\nAnswer: 5, f, 2\/25, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 16*y + 64. Let n be g(8). Solve -12 = 4*s - s - r, r + 3 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/45*(-62)\/(-124). Factor 64\/5 + 8\/5*k**2 + 56\/5*k - m*k**3.\nAnswer: -2*(k - 8)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10975\/4 - 2769. Find the common denominator of b and -35\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 8*t**2 + 5*t**2)*(2*t + 0*t + 5*t)*((-4 - 3 + 5)*(-6 + 0 - 1) - 1 + 2 + 3).\nAnswer: -756*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*(g*(g**(-1\/5)\/g)\/g)\/g*g*(g**1)**(-43))**(-5\/6) assuming g is positive.\nAnswer: g**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - 16. Let j be (40\/u)\/(4\/6). Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 3 = -7*h - t, 5*h + 45 = t for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3833*l + 375631. What is c(98)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 2, -1, 12594, 1, -3 in decreasing order.\nAnswer: 12594, 3, 2, 1, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 - 202. Let s = r - -856. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6652 (base 11) to base 13.\nAnswer: -3cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -7, -14*q + 24*q - 20 = 5*o + 15*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.5, 4, -3\/4, 690.5 in descending order.\nAnswer: 690.5, 4, -3\/4, -14.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 1 + -11 + -1 + 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/3, -0.2, -1.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g - 185451 + 185451.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 783623 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**(-3))\/r*r)**(3\/2)\/(r**(-1\/2))**(-16\/3) assuming r is positive.\nAnswer: r**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 200956397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 64*r - 34. List the prime factors of d(17).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let x = -1576 + 1241. Let z = x - -334.88. Is z less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 722148499 to the nearest integer?\nAnswer: 26873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x = -22*x + 34*x + 360 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-32))\/(2\/(-8)). What is the tens digit of -18*p*21\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 + c**2. Let d be w(2). Let a be -56*((-345)\/730 - 68\/2482). What is the greatest common factor of d and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/4 + n**2. Let y(u) be the first derivative of -4 - 1\/3*u**3 + 0*u + 0*u**2. Calculate z(y(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - 5*v + 28. Let j(t) = 15*t**2 - 10*t + 50. Calculate -6*j(c) + 13*y(c).\nAnswer: c**2 - 5*c + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(4\/(-28))\/((-6)\/(-21)). Let c = -26 - -21. What is the second smallest value in a, 55, 2\/7, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 + 17*w**3 + 28*w**3.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 4 - 26)*(-86*l - 44*l + 8*l) as b + v*l and give v.\nAnswer: 5124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675*t - 739*t + 386*t.\nAnswer: -1028*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - m**2 - 2*m + 1. Let d be f(2). Let q be 12\/27*d\/2. Solve 3*y = x - 0 - 7, -2*y - q = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085578963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5+6952680108\nAnswer: 6952680103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 4 + 4)*(-4 + 2 + 0)*(3*i + 2*i + 0*i).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 26. Let k = -21 - u. Let w(x) = -2*x**3 - 3*x**2 - 4*x - 11. Let g be w(-3). What is the greatest common divisor of k and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 19. List the prime factors of n(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 times -0.1?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 2) + 5 + 4. Let u = 14 + -9. Let i = 0 + u. Put i, -8, 3, w in increasing order.\nAnswer: -8, 3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -5)*(-4)\/10. Suppose -2*r + 4*i = -4, -3*r - f + 0 = 2*i. Suppose 3*v - 50 - 118 = r. Calculate the remainder when v is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/25 + (-42)\/(-10). Let n be 13\/12*3*l. What is the third derivative of c**6 + 25*c**4 - 25*c**4 - n*c**2 + c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*u - 14*u + 8573311 + 1109829 = 0. What are the prime factors of u?\nAnswer: 5, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -20*a + 7296. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:38 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 7845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*k + 55 = 0, 3*z - 3*k = 2*k + 49. Let g = z - 1. Calculate the lowest common multiple of g and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -3*d**8\/56 - d**4\/8 + 5*d**3\/6 - 4*d**2 + 7. What is the second derivative of m(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7097 and 10?\nAnswer: 70970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18707 is divided by 2090.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*r + 5*r. What is the smallest common multiple of 3 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.70825 (b) 19 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:56 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -83, -32, 39, 130, 241?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 17205 (b) -13 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*5 + sqrt(25)\/(sqrt(40)\/sqrt(8)) - (1 + (3*sqrt(45))\/sqrt(9) + sqrt(5) + -3)**2.\nAnswer: -84 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -36.98, -1177, -1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2705*q**2 - 2696*q**2 + 241*q + 166*q + 5403*q**2 - 12)*(0*q + 0*q + q).\nAnswer: 2*q**3 + 407*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*(g*g**(-2\/31))\/g)**22)**(-2\/67) assuming g is positive.\nAnswer: g**(5544\/2077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93 - -25 - -137) + -120?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 14552.\nAnswer: 5\/7276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -42.3, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**3 + 7*o**3 - 5*o**3 + 1)*(8*o + 11*o + 13 - 11).\nAnswer: -133*o**4 - 14*o**3 + 19*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-12)\/(-18) + (-3964 - -3886).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1540)\/30)\/(2\/(-18)). Let h = n + -166. What is the greatest common divisor of h and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -33. Let v(l) = l**2 - 7. Let q be v(d). Is 29 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8233.4 and -1.366175.\nAnswer: -8234.766175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v**2 - 1)*(-v + 0*v + 2*v) + (-1 + 1 + 2*v)*(0*v**2 - 4*v**2 + 2*v**2) + 29*v**2 - 10*v**3 - 29*v**2 + 3*v**3 + 4*v**3 - 5*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 4256523.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1118, -1330, -1574, -1868, -2230, -2678, -3230?\n\"Answer: -3*o**3 + 2*o**2 - 197*o - 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/112*((-20)\/6 + 2). Let q(y) = y. Let z be q(5). Let x be -5*(2 + (-11)\/z)*0. Is h <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 70016?\nAnswer: 210048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1133756 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-26))\/(30\/195)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 232*r**3 + 4*r**2 - 2*r - 3. Let y be o(3). Suppose 2*a + j + 5040 = 6*a, -5*a = j - y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 16 = -2*k + g, -4*k = -4*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - (-3 + sqrt(2448)*2)) + (sqrt(2448) + 2 + sqrt(2448) + sqrt(2448))*-1 + 6*(4 + sqrt(68)) + -2)**2.\nAnswer: -1656*sqrt(17) + 22561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -6. Suppose 5*g - 278 - 37 = 0. Calculate the remainder when n is divided by (-2)\/8 - g\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose -4 - p = -3*l - x, 5*l = 4*x - 15. Is -1\/3 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and -93690437609478.\nAnswer: -93690437609477.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93969 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 5*f + 208 + 13*f - 5*f in the form z + s*f and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d - 36 = 4*b, 0 = 2*b + 4*d + 12. Let g = -0.04 + 3.04. Let l = g - 1. What is the third biggest value in l, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-72)*(88\/(-330))\/(6\/333)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-2 + -5)) + -1 - (3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 9.4?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 14, a: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104 * -0.9.\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*o**3 + 548 + 35*o**3 + 9*o**3.\nAnswer: -32*o**3 + 548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:30 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 44, 136, 306, 578, 976, 1524, 2246?\nAnswer: 3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 27 = 2*v, 0 = 2*m - m - 3*v - 8. Suppose -m*j + 11 = -9. Let g = 2 - 3. Which is the closest to g? (a) -2\/9 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:27 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 5*z**2 + 2. Let j be l(5). Let h(y) = 3*y - 6*y + j*y. Let a(w) = -3*w**2 - w**2 + 3*w**2. What is h(a(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*a + 254 + 1166. What is the greatest common factor of 1130 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(1300\/(-24)))\/(15\/(-25))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/4 + 59\/12. Let d = h + -1. What is the nearest to 7\/3 in 0.3, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 2. Let p be y(-5). Suppose -4*c - 54 = p. Let j be 3\/(-6) + c\/(-4). Solve -q - 4 = -j*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7170 or -1?\nAnswer: 1\/7170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (4 + sqrt(300)*-2 - (sqrt(12)\/sqrt(4)*3 - sqrt(3))*-4)**2 + -1.\nAnswer: -96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 6:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsx. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255630 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 20*a = -38*a + 276. Solve -2*s - a*d - 14 = 0, 5*s = 5*d + 47 - 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (0 + 13 - (32 - 35))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 4:30 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1134*f**4 - 2*f**3 - f**2 - 243*f + 2218854 wrt f.\nAnswer: 4536*f**3 - 6*f**2 - 2*f - 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(891)*2)*3.\nAnswer: -15 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -605 + 615. Solve -20*u + 15*u = t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75072 and 360?\nAnswer: 1126080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.5444 + 905741127\nAnswer: 905741125.4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -6 + -5 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104284758 is divided by 118?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1064)\/(-35) + ((-4)\/(-46) - (-37754)\/(-1978))?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 4, b: 8, w: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*z - 18 = 0, 0 = 4*b - 2*z + 5 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 27 = 3*u, -4*x = u - 2*u - 15. Let n be 8\/32 - (-23)\/4. Let l(m) = m**2 - 5*m - 6. Let t be l(n). Solve 8 = -t*k + x*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235485 is divided by 3602?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7*-2*5)\/(-12 - -14). Calculate the remainder when (-301)\/l*-15*2\/6 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 340732, 681751, 1023058, 1364653, 1706536, 2048707, 2391166?\n\"Answer: 144*k**2 + 340587*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 5*g + 20. Let f be r(-7). Let m be 2\/f*(2 + 10). Suppose 0 = m*d - 111 - 205. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*j - 13 = 64 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 6 = 8*w. Suppose 9 = w*r - 7. Suppose r*b - 3*b = 20. What is the greatest common divisor of 16 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1004 divided by -74589.\nAnswer: 1004\/74589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116305 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -552, -4, 4 in increasing order.\nAnswer: -552, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326 and 5606.\nAnswer: 3716778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11165077 is divided by 705?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 93149114 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-4) + 1)*2. What is the units digit of -1 + 1 + (-42)\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) -8 (c) -5 (d) 2\/35 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3360 = 1284*y - 14*y + 2990 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1. Let m(p) = -21*p**2 + 6. Let n(u) = -u**2 - 65*u - 192. Let g be n(-3). Determine g*w(b) + m(b).\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 10*c - 9. Let b be n(11). What is the first derivative of 3 - x**b + 3 - 5 - 4 wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 - (-2 - -7)). Let v = 67355 + -67360. What is the nearest to -3 in p, 2\/7, v, -0.16?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 7*t**2 - 2*t**2 + t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**5\/20 + 2*j**4\/3 + j**3\/2 - 6*j**2 - j. Let l = -29 - -52. What is the remainder when l is divided by k(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkhzxxc. Give prob of sequence hxxz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (318\/(6 + 0) + 0 + -4)\/((-184)\/(-184))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4822 divided by -4822\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -105839, 0.06, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 32. Let l be -7 + 4 - 13 - -3. Let w be d(l). Calculate the highest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5 + 3\/5*k**2 + 9\/5*k.\nAnswer: 3*(k + 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/10728647?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*a + 3094, -4*a - 3448 = -3*p - 1100. List the prime factors of p.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*k - 24 = 0, -3*v + 0*k = 2*k - 22. What is the greatest common factor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4422559 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2335.162 to 0 decimal places.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 4992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*f + 2992 = -2115 - 3389 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:52 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268796 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 3*s + 4. Let g be p(-3). Solve g*n + 15 = 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 174*x**2 + 109*x - 16. Let v(l) = 49*l**2 + 36*l - 5. Let n(r) = 2*c(r) - 7*v(r). Calculate n(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 9*u - 10. Let v be j(-7). Let g = 43 - v. Suppose -5 - 16 = -3*a - p, p = 3. What is the highest common factor of g and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2356 = -9292. Is c a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 71 = 3*m, 48 = 2*j + 101*m - 97*m for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 383298*b + 54468644 = 0.\nAnswer: -191791, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*w + 6, -4 = -2*q + 4*w - 0*w. Find the common denominator of (-4)\/(320\/(-76)) - q and -89\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 17*d - 179. Let m be p(-24). Which is the nearest to -1\/5? (a) 0.29 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 93.022. Let z = p + -0.018. What is the second biggest value in 0, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0. Let z = -7.9 - -17.5. Let p = 10 - z. What is the closest to -1 in 2\/7, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 24*n**3 - 2*n + 2*n.\nAnswer: -33*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -820 - -0.03248719.\nAnswer: -819.96751281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*b**2 + 4104 + b**4 - 4104)*(1 + 0 - 2).\nAnswer: -b**4 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let p(i) be the third derivative of -i**4\/4 + 6*i**2. Let y(x) = -x. Let h = -4 - 2. Let a(v) = h*y(v) + 2*p(v). Give c(a(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 - 158*g**2 + 1268*g + 5760.\nAnswer: -2*(g - 9)*(g + 32)*(3*g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 = -56. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -9*l**5\/20 + 5*l**3\/6 + 10*l - 2. Let j(f) be the first derivative of r(f). Find the second derivative of j(o) wrt o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i + 5. Let r(z) be the second derivative of z**5\/24 + z**4\/12 - z**3\/2 + 16*z. Let c(w) be the second derivative of r(w). Give 5*c(n) - 2*p(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*x = -3*j + 20, -3*j + 2*x = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 14}. Give prob of picking 2 l.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3033*n**3 + 8*n**2 + 3*n - 4. Let g be z(-4). What is g rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4 + 93178*u**3 + 558924*u**2 - 3354408*u - 20123856 = 0 for u.\nAnswer: -46583, -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.4, -1\/12, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2\/7, 3\/5, -310 in increasing order.\nAnswer: -310, -2\/7, 3\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 91, 636 in decreasing order.\nAnswer: 636, 91, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 36*f + 63. List the prime factors of y(-31).\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 6*j**2 + 5*j - 5. Let h be g(8). Suppose 2*p = -h + 453. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than -1\/465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1331) - (2 + sqrt(1331) + sqrt(1331))).\nAnswer: -55*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 753*b**2. Let q(u) = -3*u. Calculate q(g(d)).\nAnswer: -2259*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11413431 (base 5) to base 6.\nAnswer: -2145022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 3. Sort 5, -2, u, -8.\nAnswer: -8, -2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - x**3 + 4*x**3)*(4*x + 0 + 0) + 1507*x**4 + 6*x + 2*x**3 - 2*x**3 - 1504*x**4.\nAnswer: 7*x**4 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 26 - 64*z - 121*z + 12*z as f + k*z and give k.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -11, -12, -1, 28, 81?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.5 - 43.49346. Round p to 4 dps.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**5 + 8*q**3 - 582*q.\nAnswer: 80*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + 1.7. Sort y, -1, -2\/9.\nAnswer: -1, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52758 and 12?\nAnswer: -633096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l**3 - 3*l**2 - 2*l + 4. Let r(a) = -25*a**3 + 7*a**2 + 4*a - 9. Let k(q) = -7*n(q) - 3*r(q). Let j be k(2). Is 3 a factor of 1\/3 - j\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74\/13 - 541\/26. Let p(v) = -974*v - 3. Let y be p(-2). Let b = y - 11765\/6. Calculate the common denominator of b and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.36 - 0.36. Put w, -0.05, -0.3 in decreasing order.\nAnswer: w, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392*f + 374 = 1426*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbbllblbilb. Give prob of picking 1 l and 1 i.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 721.4 and 9.2?\nAnswer: 6636.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by -2*(-9)\/((-72)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.59638 to zero dps.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 3 = 3*q. Suppose -8 = 4*r - q*r. Differentiate 6 + 9*f**r - 95*f**3 + 95*f**3 wrt f.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4944, 19720, 44348, 78828, 123160?\nAnswer: 177344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from ommddmdmfdfdfmtdyyod.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.265 + -0.465. Let k = 2\/285 - -188\/285. Let l = 0.3 + -0.2. What is the smallest value in r, l, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**4 - n**2 - 6*n**4 - n**3 - 12*n**3 - 1 as r*n**3 + g*n + o*n**2 + t + v*n**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 254297663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334 or 77765?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/4 - 113*l**3\/4 + 4329*l**2\/4 - 58867*l\/4 + 50653\/2.\nAnswer: (l - 37)**3*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 + 7) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 4, -1, 47 in decreasing order.\nAnswer: 47, 6, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 16*k - 11. Let b be c(17). Suppose -39 = -11*q - b. Solve -2*n - 8 = 4*o, 7*n = 2*o + q*n - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 9*r + 707. Let f = -50 - r. Let k(l) = 5*l + 2. What is the units digit of k(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -222\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**3 - 107 + g - 2*g + 109 in the form m + v*g**3 + f*g + k*g**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 1207*g - 13359. Determine l(11).\nAnswer: 523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**7\/42 + 3*k**6\/10 + 11*k**5\/10 + k - 7. Solve z(f) = 0 for f.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyyx when four letters picked without replacement from xqyqjqg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 = 16. Let w(x) = -x**3 + 9*x**2 + x - 5. Let h be w(n). Suppose h*v = 2*v. Sort 1, v, 2.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 4*f - 3. Let z be 11\/((-55)\/20)*1\/(-2). What is h(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-2 - -1) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 201930000 to the nearest 1000000.\nAnswer: 202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -7.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 6*z**2 - 4*z - 4. Let p be g(4). Factor 0 - 147*o**2 - p + 84*o + 2 - 2.\nAnswer: -3*(7*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145385 = -r + 5*b - 145341, 38 = r - 3*b for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 111535*o = 111534*o + 2, 5*p - 15*o = -100 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 22. Let k = z + 166. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26\/(-845)*-26)\/((-5)\/(-50)). Let m(j) be the first derivative of -1\/2*j**2 - v*j + 48. Determine m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let g(m) = -2*m - 4. Let l(i) = -g(i) + 5*u(i). Let n be (-2)\/(-2)*2\/(-2). What is l(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 842044*h*j**3*o**3*s + 217*h*j**3*o**3 + 874*h*j**3*o + j*o**3*s wrt s?\nAnswer: 842044*h*j**3*o**3 + j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-4) + -3)\/(3\/(-33)). Solve 5*l - a = p, -l - 4 + 11 = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -37. Let f(u) = -u**2 + 14*u - 12. Let l be f(9). Let k = l - m. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -5, 5.\nAnswer: -157, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.3462l in millilitres?\nAnswer: 43346.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let x(i) be the second derivative of -i**4\/12 - 20*i. Determine a(x(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 66*q - 376. Let l be f(38). Solve 4*i + 24 = 4*r, -3*i + 18 = 4*r - l*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 16 (b) 2 (c) 2\/85 (d) -15 (e) -2 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541*b**4*r**2 + b**2*r**3 + 9*b*r**2 + 22*b - 8*r**3 wrt b.\nAnswer: 6492*b**2*r**2 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -3 + 1\/3*u**3 - 3*u + 5\/2*u**2. List the prime factors of s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 375 = 3*o - 2*f, 0 = o - f - 82. Suppose -2*s = 2*a + 3*s - o, -5*a = 4*s - 167. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -100965414?\nAnswer: 1\/9178674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -34*v**6\/3 + 22*v**3 - 65. What is the third derivative of y(b) wrt b?\nAnswer: -4080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 33. Let y(p) = 33*p - 231. Determine -27*h(x) + 4*y(x).\nAnswer: -3*x - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 4\/1 - 792\/(-110))*(-3 + 53)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188.97 - 189. Let r = -0.02998699 - b. What is r rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k + 10, -5*k - 20 = -5*d. Let q = -139.9 - -16.9. Let p = q + 122.5. What is the smallest value in -1\/4, p, d, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12475, -12476, -12477, -12478, -12479?\nAnswer: -12480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8255 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/389 - -785\/2723. Which is the closest to -7? (a) r (b) -2 (c) 4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.002 + 2.502. Let l = -2.50228 + y. What is l rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33 + 0 - 0\/6.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 478606*k - 77 = 478609*k, y + k = 14 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/8 and 37\/7524.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8446789?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 699160415 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25120?\nAnswer: -25122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 6) in base 8?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -789909?\nAnswer: 1\/263303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 7*y = -567. Let x = -78 + y. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108294?\nAnswer: 2, 3, 18049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 40. Let f be j(18). Solve 0 = 3*t + t + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 8*x + 3. Determine v(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 33. Let z = u + -5. What is the second derivative of -z*g + 7*g + 5*g**3 - g + 7*g wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142793?\nAnswer: 2142793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from lqbloff.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 449955?\nAnswer: 899910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -164. Let u(q) = 2*q**2 + 89*q - 180*q + m*q. Let k(g) = -2*g - 2. What is k(u(o))?\nAnswer: -4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by (-4)\/5 + ((-2832)\/(-60))\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/(-259) + ((-10928)\/14)\/(-2). Suppose l = -35*p + 40*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**3 - 5*a**2 + 12*a - 23. Let o(k) = -3*k**3 + 2*k**2 - 4*k + 8. Let q(l) = -11*o(l) - 4*u(l). Calculate q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3103, 3258, 3523, 3904, 4407, 5038, 5803?\n\"Answer: d**3 + 49*d**2 + d + 3052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15732, 15688, 15634, 15564, 15472?\nAnswer: 15352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/11156 and 63\/8?\nAnswer: 22312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4454, -4054, -3656, -3260, -2866, -2474?\n\"Answer: -t**2 + 403*t - 4856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10001011000010100 (base 2) to base 9\nAnswer: 117577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + x - 3*x + (-3 + 3 + 1)*(-x + 0*x + 2*x) - x + x + 2*x + x - 92 + 135 + 65.\nAnswer: 6*x + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:19 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -6. Let l = -1 - j. What is the least common multiple of l and (-80)\/56*-7 - 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11393 - 9603. What is the remainder when a is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 873*a - 886*a. Solve -p + 2*p + 1 = a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1)*o*o)\/(o\/((o*o**(4\/7)*o)\/o)))**(1\/42))**(-1) assuming o is positive.\nAnswer: o**(-11\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 9?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1346*n + 13. Let i be x(-1). Let z(a) = 1359*a - i*a + 3*a**2. Let v(l) = 4*l - 2*l - l + 6*l. Determine z(v(f)).\nAnswer: 147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4333.\nAnswer: 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(((-4 + sqrt(2057)*-2 + sqrt(2057))*6*-6)**2 + 2).\nAnswer: -10746440 - 456192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*h - 342 = 0, 1398 = 4*c + 14*h - 12*h. What is the greatest common factor of 44 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3229406?\nAnswer: 2, 41, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d - 165 + 27 = 0. Solve -2*w + w + 15 = d*v, -25 = -4*v - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -7*z + 11*z - x, 0 = 2*x - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121191 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:37 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 e when three letters picked without replacement from {v: 3, n: 1, q: 4, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 6, 20, 40, 66, 98?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0156723804 to five dps.\nAnswer: -0.01567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682498 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from {d: 1, x: 2, u: 2, m: 6, q: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**5\/15 - t**3\/2 - 3*t**2\/2 - 3. Let m(y) be the second derivative of f(y). Find the first derivative of m(c) wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s**3\/13 + 1668*s**2\/13 + 59978*s\/13 + 46920\/13 = 0.\nAnswer: -115, -51, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -3*q**7\/56 + q**5\/80 - 3914*q. Factor y(w).\nAnswer: -w**3*(3*w - 1)*(3*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {k: 2, u: 2, y: 4, f: 7, l: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -41. Let v = -61 - -64. Suppose -4*u + 3*d + 204 = 0, -v*u + d = 5*d - 153. Calculate the remainder when u is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/8)\/((-2)\/(-8)). Let q = -4 - -9. Let b = l - q. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 12*j**2 + 11. Suppose -60 = 2*r - 84. What is h(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 30 = -4*r, -5 = -l + r + 5. Solve l*g + 3*t + 9 = 24, -t + 5 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -4\/151 (c) 2 (d) -325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*x**2 + 4*x + 50 wrt x?\nAnswer: 66*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9048, 9085, 9122, 9159, 9196, 9233?\nAnswer: 9270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-1\/12))\/h)\/h**5*(h**(-1\/2))**(44\/3))**(-5) assuming h is positive.\nAnswer: h**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 9:41 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -258*r - 1488. What is the smallest common multiple of 291 and n(-6)?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.101 and 0.4.\nAnswer: 0.0404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.788 + 1.758. What is the second biggest value in 5, t, 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 440\/(-145) - 2016\/2088. Let x = 18 + -25. Which is the closest to x? (a) -6\/7 (b) -5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i - 10 = -57*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 647*l + 58604 - 10079 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 28. Let t be c(-9). Solve 0 = 3*x + 4*j + 29, -t*j = -8*j + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 156*b**2 + 623*b**2 + 51*b**2 - 17*b**2 + 6.\nAnswer: 813*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11214090.4 rounded to the nearest 10000?\nAnswer: -11210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -16*y**3 - 6*y**2 + 37*y + 97. Determine w(-2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284948675 equal to 284948675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -6, -0.008?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**5\/20 - y**4 - 6*y**3 - 16*y**2 - 20*y - 8607. Factor m(h).\nAnswer: -(h + 2)**3*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4302600 rounded to the nearest 10000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**3 - 2. Let b(k) = -13*k**2. What is t(b(z))?\nAnswer: -507*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and -37\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 23. Let s(y) = -y**3 - 8*y**2 - 10*y - 9. Let a be s(-7). Suppose -m = d*m + a. Sort m, 3, 2 in increasing order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21781684 and 21781685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31059305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 104236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, q: 1}. What is prob of sequence zzzq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121287 + -16980273\/140. Calculate the common denominator of -121\/1736 and y.\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.11 > 5\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 153985.39218 to the nearest integer.\nAnswer: 153985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -18. Let c(z) = 6*z**l - 2*z**2 - 2*z**2. Let m(q) = q**2. Give c(m(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 28*x - 277. Let t be u(10). Solve 0 = -t*i - s - 2, 5*i - 3*s + 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119073789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (100 + -107)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (376 - 376 - 33*l)*(2*l - 2*l**2 - 2*l).\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1905110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -953 greater than or equal to -84850\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 278*y**2 + 1 - 2 - 459*y**2 + 245*y**2 - 2*y**3 to o*y + u*y**2 + f*y**3 + t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039179450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(121) + -3*sqrt(121) + sqrt(121))\/sqrt(11)) + (sqrt(275)*-2 + sqrt(275))**2.\nAnswer: 2*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 807 = -59*f + 62*f. List the prime factors of f.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -18347*r**2. Let p(m) = 272*m. Determine p(x(n)).\nAnswer: -4990384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1308 and 3052.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.2. Let d = -12 + 4. Let o = d + 9. Which is the closest to o? (a) y (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460384549.\nAnswer: 13, 31, 3623783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n + 22. Let x be r(-11). Suppose -4*l + x*l + 4 = 0. Let p = l + 43. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 8*j - 11*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6 - 0. Suppose 0 = -3*t + 3 + n, -4*t = -5*d + 2278. Suppose -3*k - d = -4*r, 4*k = 4*r - 0*k - 456. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 7*n - 3. What is t(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -15.\nAnswer: -77\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + -0.5. Let w = -59 + 35. Let j = 23.9 + w. Which is the closest to 0.1? (a) u (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 46, -2, 2 in decreasing order.\nAnswer: 46, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191a1 (base 11) to base 8.\nAnswer: 64344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 807790 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 247*j + 11154 = -80*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6298 + -25179\/4. Let h(l) be the first derivative of l**3 + 0*l**2 + 12 + 0*l - i*l**4. What is the third derivative of h(a) wrt a?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 1. Let j(b) = -5. Let u(r) = -5*c(r) + j(r). What are the prime factors of u(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -580 + 352. What is the common denominator of (-5304)\/1638*(2 + 442\/g) and -85\/2?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - (12 - 776\/372). Which is greater: t or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 565185.5 to the nearest 1000.\nAnswer: 565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 1 + 0*t**3 - 2770*t + 2800*t - 4*t**3 + t**3 + t**4 - 2*t**2 in the form m*t**4 + y*t**3 + z*t**2 + i*t + j and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 35, 123, 299, 593, 1035?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*p + 3776 = -2760 - 2644 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/8)\/(6\/8). Suppose j = -v*g + 8 - 2, 5*j + 10 = -2*g. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2 + 10\/6). Let l(w) = -b*w + 3 - 3 - w**2. Let m be (-930)\/(-93) + 2*-4. Let g(z) = -2*z**2 - 4*z - 1. Determine m*g(v) - 3*l(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -271 (c) -3 (d) -20067.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 1 = q. Let y = 8\/5 - 2. Which is the biggest value? (a) y (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1943745671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 48*a = 72. Suppose 16*j - 15*j = a. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101568, 813352, 2745332, 6507606, 12710272?\nAnswer: 21963428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.69 - -0.29. Let d = 0.6 - o. Put -5, d, -2 in descending order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 146*p + 4. Let s be b(11). Suppose q + 5*v = 1506, 3*v + s = 2*q - 1402. Suppose -2*r + 1090 - 340 = 2*k, k - q = -4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -653, -895, -1247, -1709, -2281, -2963?\n\"Answer: -55*j**2 - 77*j - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231891684425 - 14.\nAnswer: -231891684439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -782\/11 (b) -4\/5 (c) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*i + 2*u + 4, -5*i - 4*u = -136. Suppose 21*o + 1323 = i*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2. Let h be -3 + (10\/1)\/2. Suppose -3*r + 6 = -h*s, -2*s + s + 5*r = 10. Let o(a) = 6*a**2 + 0*a + s*a - 7*a**2. Give o(q(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-15)\/(-40)) + 21. Suppose 5*f + 13 = -122. Let i = f + w. Which is the nearest to -2? (a) 3 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2858.\nAnswer: 1\/1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m*n**4 + 9*m*n**2 + 18*m*n - 10*n wrt n?\nAnswer: -60*m*n**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372 - -1854\/5. Let y be ((-2)\/3)\/((-56)\/21). Which is the nearest to -1? (a) y (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - -4 - (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13442509 by -4.\nAnswer: -13442509\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 25 + 3*o**2 - 77*o**3 + 51*o**3 - 2*o**2 + 28*o**3 to the form a*o**2 + x + l*o + u*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 3. Suppose 2*o - 4*o + 2*u + 22 = 0, -3*o + u = -27. Let c be m(o). Let x be (-1)\/(-2) + (-2)\/(-4)*-1. Sort 2, c, x in ascending order.\nAnswer: c, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138302763 and 10?\nAnswer: 1383027630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1160604766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4561185541?\nAnswer: 11, 414653231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-12) - (-2)\/3. Let y(w) be the first derivative of 19*w**3 + 18*w**3 - 35*w**h - 1. Let v(n) = -n**2. Calculate y(v(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502963 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*d. Suppose 4*r + 88 = d*c, -2*c - 3*r - 11 = -71. Let q = 32 + c. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 14 = 19. Let t be (-1)\/4 - b\/(-4). Let c be 3\/(4 - 7) - 8\/(-1)*1. Is t smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5974029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(190)*1*-1)\/(sqrt(30)\/sqrt(12)).\nAnswer: -2*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, b: 2, v: 7, o: 2, r: 1}. What is prob of sequence xw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -319*x - 84 + 40 + 44 to u + s*x and give s.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 4\/7 (c) 10.63 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*-1)\/((-1)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20037 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -169 (b) -8 (c) 32 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v**(-2\/7)*v))\/v)**(-17\/3)\/(((v\/v**(-14))\/v)\/(v\/v**(5\/2))))**(-1\/6))**(2\/83) assuming v is positive.\nAnswer: v**(481\/10458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19691 - 19697. Which is the closest to k? (a) -0.5 (b) 2 (c) 4 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -28. Let o = 7.5 - y. Put 2\/9, o, 3 in decreasing order.\nAnswer: 3, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -11235 (c) 1 (d) 0.158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 11, 41, 87, 155?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 44*u**3 - 23*u**3 + 25 - 23*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/8*6)\/(4\/(-16))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(2\/(-2))*3\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d**4 + 645110*d**3 - 7593220*d**2 + 21485640*d + 5156640 = 0 for d.\nAnswer: -2\/9, 6, 14324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (-4 + 10 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*w = -1557 + 5574 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33538873 divided by 1\nAnswer: 33538873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a + 547 = -463 + 353 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let h = 1 - 1. Solve h = -k*b - b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 + 6*g - 4*g**3 + 1 + 4 + 7*g**2. Let t be (-1 - 11)*(-19)\/(-57). Let c be l(t). Which is smaller: 28 or c?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.352386 + -6869864.4\nAnswer: -6869864.047614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3 + 155*l**2 - 555*l + 405 = 0. What is l?\nAnswer: 1, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 2\/9 (b) -166 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62442, 124711, 186958, 249171, 311338, 373447, 435486, 497443?\n\"Answer: -2*n**3 + n**2 + 62280*n + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 - (-1536)\/(-135). Let k = d + 56\/5. Find a such that 2\/9 - 2\/3*a + 2\/3*a**2 - k*a**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 103*n = -470 - 574 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (26\/19)\/((-752)\/3572)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -3 + 2 + sqrt(832) + (-1*(sqrt(832) + 1 - sqrt(832)) - sqrt(832)) + -4*(sqrt(832) + sqrt(832) + -1) + sqrt(832) + -1 + -3*sqrt(832))**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2. Let d be v(2). Let n be (d - -1)\/((-7)\/(-21)). Is 3\/n + 580\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 4. What is u(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 300304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -9, 0, 23, 66, 135, 236?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16565, -17014, -17465, -17918, -18373?\nAnswer: -18830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -88.7. Which is the nearest to 2? (a) z (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32430064?\nAnswer: 2, 53, 167, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -685595 and -1456.\nAnswer: 998226320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 919987740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*h - 782 - 472, -h + 1 = 0. Does 50 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144 or 484?\nAnswer: 484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19f5 (base 16) to base 5.\nAnswer: -203040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 14336.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-118 + 1 - 139)*(-2*h**2 + h - h)*(0 - 3 - 4) as n*h + k*h**2 + i and give k.\nAnswer: -3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/5088 and 23\/236592?\nAnswer: 473184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667525 is divided by 269?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 12*r = 2*z + 485, -3*r + 4*z = -1451. What are the prime factors of r?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.5*-3\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let m(u) = 33459*u - 299. Let o(r) = 22305*r - 187. Let d(h) = -5*m(h) + 8*o(h). Give n(d(y)).\nAnswer: 124211025*y**2 - 22290*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8317*g - 10. Let b(j) = 33306*j + 42. Give -21*a(v) - 5*b(v).\nAnswer: 8127*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03601 - 0.0345. What is n rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 1417?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27446 is divided by 6647.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-248)\/(-93)*6*6\/(-24). Sort d, 0, -3, -37 in ascending order.\nAnswer: -37, d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 2047, 6854, 16197, 31588, 54539?\nAnswer: 86562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 + (12 - 24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/360 + 3*n**5\/40 - n**4\/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Let k(s) = s**3 + 4*s**2 + 4. Let r be k(-4). Let a(q) = -1 + r - 2 + q. Let f be (((-9)\/(-12))\/(1\/(-8)))\/((-9)\/9). Determine a(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 - 162*g + 1151. Calculate i(13).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 569, 2534, 5893, 10646, 16793?\n\"Answer: 697*t**2 - 126*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2)*(-70)\/7. Suppose 0 = 3*m - g*m + 18. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 9*a - 5. Let j be d(8). Let w(t) be the third derivative of t**6\/40 + t**5\/60 - t**4\/4 - 2*t**3\/3 - 22*t**2. Is w(j) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-28))\/(3\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 14*j**2 - 7*j + 5. What is r(-3)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -22*o. Let x be y(-1). Let b(f) = 2*f**2 - 4*f. Let r be b(3). Suppose 0 = r*i - 3*i - 9. Solve -4*t = 5*k - x, i*t = k + t + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + 4 + -14)\/(2 - 1). Let k = 8 + -4. What is the smallest common multiple of 5 - (21\/g)\/7 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.011 (c) -35.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.52176 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/3*(-11)\/(11*(-22)\/66).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-19329)\/(-34))\/((-5)\/(600\/(-18)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*a - 144. Suppose -2*t + 12 = -28. Let p = a - t. Are p and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1\/40 (c) -0.01206\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -163*o - 202. What is n(5)?\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - v + 3*v)*(-5 + 3 + 4) + 4 + 2*v + 3 - 5.\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 52 + 16 + (-1 + 0 + 2)*(-7 - 7 + 8))*(-3*u + 0*u + u) - u - 2*u + u + (4 - 1 - 1)*(0 + 0 + 2*u) + 0*u + 0*u - u.\nAnswer: 77*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*r + 12 = 4, 0 = -4*j + 5*r + 6. Are -2 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -v - 3*v. Let y = v - -16. Suppose 5*q - 4*n - 8 = 0, 2*q + y*n = 21 + 2. Solve -13 = q*a - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001 (base 2) to base 5.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19257 or -2\/4359?\nAnswer: -2\/4359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106297795?\nAnswer: 5, 21259559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4423.598 and 0.2?\nAnswer: -884.7196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 373885 and 470?\nAnswer: 747770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 24*d. Let w be r(12). Suppose 5*v = 0, -3*v = 3*u - w*v - 45. Which is bigger: u or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6144 + 5. Let o = -1.982 + c. Let t = 0.6 + o. What is t rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 > -0.15343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.94.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01640208 rounded to 4 decimal places?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 922, 3657, 8214, 14593, 22794?\n\"Answer: 911*n**2 + 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24448 and 3843302.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 242 - 2*q - 93 + 12*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3. Let n(h) = 7*h**3 + 2*h**2 - 5*h. What is 6*l(q) - n(q)?\nAnswer: -q**3 - 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15\/4, 264, -63 in decreasing order.\nAnswer: 264, 15\/4, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93311 + -12317191\/132. Calculate the common denominator of 4\/(-2) + 155\/24 and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cui when three letters picked without replacement from {c: 3, u: 3, v: 5, i: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - j. Let g be (-6)\/(-9) - (-2)\/6. Let v be q(g). Suppose -k = -v - 0. Which is the biggest value? (a) -3 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2304, 4529, 6562, 8409, 10076, 11569, 12894, 14057?\nAnswer: 15064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 + 0*d**5 - 7*d**5)*(-2 - 1 + 2)*(394 - 61 - 52).\nAnswer: 1405*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503616 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**3 - v**3 - 2*v**3 + (0*v**2 - 7*v**2 + 11*v**2)*(-9*v - 4*v + 9*v) as d*v**3 + u*v**2 + c*v + q and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3270523032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1193152 and 39552.\nAnswer: 7158912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3279570 by -5.\nAnswer: -655914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 + 1. Let y(u) = u**3 + 14*u**2 - 17*u - 28. Let i be y(-15). Suppose 0 = -s - 0*s. Solve -h = -s*d + i*d 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) -0.3 (b) -9.1 (c) 4\/7 (d) 169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -191657807.5?\nAnswer: 191657836.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 + 6)) + 13 - 6 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 41 - -28) + 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 14824953.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10220 and 3.\nAnswer: 30660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 209*x - 513. Does 44 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j\/j**(2\/21))*j))*j)**(12\/13))**(2\/7) assuming j is positive.\nAnswer: j**(352\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h**2 + 16*h**3 - 14 - 9*h**3 - 8*h**3 - 3*h - 7*h**2. Is 17 a factor of k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 579*((-938)\/(-18))\/(15\/45). Let c = b + -59217. What is c rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*2 - sqrt(1700) - sqrt(1700)) + 0 - (-1 + sqrt(1700))*1)**2.\nAnswer: -20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274736?\nAnswer: 2, 3, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13227, 26262, 39297, 52332?\n\"Answer: 13035*k + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let a(g) = -g**3 + 12*g**2 - 23*g + 1. Let u be a(10). Let n = u + 31. Let b(f) = 0 + 10*f**2 + 3 + n. Calculate l(b(h)).\nAnswer: -20*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Let i = 0.1 + 0.1. Let u be 4\/10*(-5)\/(-4). What is the nearest to u in k, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 3 - 3 + (1 - 1 - t)*(-3 - 3 + 5) + 78*t + 18*t + 179*t.\nAnswer: 275*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 22*q + 3. Let c be m(-11). Solve 0 = -2*p + 1 + c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2089.2594 months to years.\nAnswer: 174.10495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -3, -18, -39?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20670596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 3*d**2. Suppose -20*v = -1354 - 1726. Let i = -158 + v. Determine l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 15, z: 4}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 + 0 - 2)*((-3*n - n + 2*n)*(3*n - 6*n + 0*n) + 3 + 2*n**2 - 3).\nAnswer: -8*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 27*y**2 + 13*y - 13. Let b(g) = -g**3 - 13*g**2 - 7*g + 6. Let m(n) = -5*b(n) - 2*d(n). Calculate m(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from avrrursrsrvrfssfsvfv.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = -15*h - 37*h. Suppose 12*i - 27 = -h*i. Solve i = 10*q - 9*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8801959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -i + 2, 2486*b - 20 = 2491*b - 5*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**3 - q**2. Suppose -14 = 3*y - 11. Let o be 3*((-2)\/6 - y). Let u = 1 - o. Determine m(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:43 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + 20*c - 76. Let g(d) = 2*d**3 + 19*d**2 + 7*d - 12. Let s be g(-9). Let j be i(s). Sort -1, j, -4\/7 in descending order.\nAnswer: j, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -23086?\nAnswer: 23086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*r = -0*r + 20, -c = r. Let m(t) = 2*t**2 + 14*t + 38. Let w be m(-3). Let f = w - c. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**24*q*(q\/(q**(-2\/35)*q*q))\/q*q**(-2\/21)*q**(-1\/3))**(-3\/10) assuming q is positive.\nAnswer: q**(-1293\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, -3475, -10496, -21039, -35104, -52691, -73800?\n\"Answer: -1761*r**2 + 1784*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9493149 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (2*sqrt(3) - sqrt(3))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305843028?\nAnswer: 2, 3, 5417, 97007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:12 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -5*f**7\/7 + f**5\/5 + 30*f**3 - 92. What is the third derivative of m(b) wrt b?\nAnswer: -600*b**3 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 70*u**2 + 2*u - 271. Determine p(35).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1)\/1 + 2. Let d(t) = t**2 - t. Let k(l) = l**2 - l - 1. Give r*k(c) + 3*d(c).\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3395, 144, 3687, 7234, 10785?\nAnswer: 14340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) -1\/6 (d) -4 (e) -52 (f) 24\/43 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139\/2*f + 23\/2*f**2 - 1\/2*f**3 + 117\/2.\nAnswer: -(f - 13)*(f - 9)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 44*i + 4. Let q be x(22). Suppose -v = 3*j - 1060, q*v = 1 + 15. Calculate the highest common factor of j and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 3*n**2 - n - 1. Let l(y) = -y**3 + y + 23. Let z be l(0). Let j = -44 + z. Let h = j + 18. Give v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12.96. Let t = 0.04 + r. Let v = 12 - 14. Put t, 2\/11, v in descending order.\nAnswer: 2\/11, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 166 + 282 + 352 = -2*d, 0 = -h - 4*h - 5*d - 380 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20594, 41191, 61790, 82391, 102994, 123599?\n\"Answer: l**2 + 20594*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774289?\nAnswer: 3, 7, 132109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/9))**17)**(-7)*(n**(-1\/13)*n\/(n\/((n\/((n**5\/n*n)\/n))\/n*n))*n)**(6\/13) assuming n is positive.\nAnswer: n**(-41680\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*j**6 + 2*j**2 - 44*j**6 + 2*j**6 - j**2 wrt j?\nAnswer: -2760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394050?\nAnswer: 2, 3, 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2336 and 13068460.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29753\/68 + 1586\/17. Let f = -347 - w. Find the common denominator of (-660)\/(-32) - (-11)\/(-88) and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 387*f - 387*f - 77*f**4 + (-3*f**3 + 2*f**3 + 4*f**3)*(0*f - 2*f + 4*f) + 0*f**2 - 2*f**4 + 0*f**2 + (-14*f**3 + 0*f**3 + 2*f**3)*(f + f - 3*f).\nAnswer: -61*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45521649 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 37*a - 35*a. Suppose a*y - 40 - 10 = 0. Find j such that 27*j**3 + 15 + 4*j**4 - 32*j**3 + 65*j + 31*j**4 + 5*j**y + 95*j**3 + 110*j**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -7 (b) 1527 (c) 0.2 (d) -2.8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8.7296 * 2\nAnswer: 17.4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -19.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3504 - 1753 - 1751 - 5*z + 4*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h. Let m be ((-7)\/(-14))\/(2\/(-4)). Let v(z) = 1. Let k(y) = 2*y - 8. Let q(t) = m*k(t) - 8*v(t). Give q(i(o)).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -3b?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (138\/16)\/(504\/245952) is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*1*4)\/(1*(sqrt(11) + sqrt(22)\/sqrt(2))).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 190 = 14. Let p = 365 + c. Does 32 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + -50. Let s = 96 + l. Let b = s + -15. What is the biggest value in b, -2\/5, 2.7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3927 divided by 4.\nAnswer: 3927\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2381 (base 14) in base 7?\nAnswer: -24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-6)*w)\/w)\/w*w**3*w*w)**(6\/37)\/(((w\/((w\/((w\/(w\/(w*w*w**(1\/3))))\/w))\/w))\/w)\/w**13)**(-4) assuming w is positive.\nAnswer: w**(-4982\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r. Let p(v) = 9*v + 9468. Determine i(p(y)).\nAnswer: -72*y - 75744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let x = -4.3 - 0.7. What is the smallest value in -4, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -10*z + 1271*n - 1273*n, 21 = -z + 5*n for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(121)\/(sqrt(176)*-3) + (2*(sqrt(121) + -2*sqrt(121) + sqrt(121)) + sqrt(121))\/sqrt(11)))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/107? (a) -4 (b) 1 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1063251 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 6*u**2 - 310*u - 306. What is i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 176 = 5*k + 164, -2*w + 28 = 5*k. Let m(n) = -n**3 + 2*n**2 + 2*n. Determine m(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/559 and 49\/104.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -277 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 35*l + 222. Let x be r(24). Let t = 69 - x. Which is bigger: t or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/4 + 10691030*f - 114298122460900 = 0.\nAnswer: 21382060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*f - 0*i - 2*i, 25 = -5*f - i. Suppose -2*h - 8 = 0, -2*o + h + 8 = -0*o. Put o, f, -2 in decreasing order.\nAnswer: o, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 120751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((574803\/(-143703) + 4)\/(1\/7)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(1\/3)\/(c*c*c\/(c\/(c\/((((c*c**7)\/c)\/c)\/c)))*c*c**(3\/7)))**(-2\/17) assuming c is positive.\nAnswer: c**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-134)\/335*(748\/192 - 4).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208328511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16386, -32722, -49056, -65388?\n\"Answer: n**2 - 16339*n - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-13) - 5408\/17576. Suppose l + 20\/9*g + 34\/9*g**2 + 2\/3*g**3 = 0. What is g?\nAnswer: -5, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**3 + 44*u**2 + 3*u - 4. Let r(h) = 14*h**2 + h - 1. Let j(w) = -g(w) + 3*r(w). Determine j(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 8) to base 11\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j - 11*j**2 - 26*j**2 + 49*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2503, -2510, -2517, -2524, -2531, -2538?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254352529 to the power of 1\/2, to the nearest integer?\nAnswer: 15948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-42) - (-216)\/(-70). Let f = 3 + x. Which is the third smallest value? (a) 5 (b) f (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**5 - 6*f**5 - 6*f**5 + (-2*f + f + 2*f)*(-6*f**3 + f**4 + 6*f**3).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 8. Suppose -w = -5*w + 36. Let z be 0\/w*(-2)\/4. Let q be p(z). Which is greater: 9 or q?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -4, -44.\nAnswer: -44, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 375.505.\nAnswer: -751.01","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -30 + 17 + 4*i**2 - 55*i**2 - 24*i**2 + 14. Let k(m) = -m. What is z(k(y))?\nAnswer: -75*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 151. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + (1 - 2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 5. Let y be w(4). Suppose y = p - 3. Let i = p + 0. Solve -3*r - i*l = -19, 2*r - 3*l = 4*r - 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -12*w + 11*w. Let t be -7*w\/(-10)*-2488. Suppose -4422 = 13*i + t. Round i to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d8a3 + 2a2?\nAnswer: 2db65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/435 and -71\/5394.\nAnswer: 26970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.5989 + 0.4011. Let m = -44 - -30. Let s = p + m. Which is the third biggest value? (a) 1 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o + 19. Calculate the remainder when 2358 is divided by a(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 8*j - 60. Let i(p) = 8*p - 59. Suppose 14*y + 12 = 18*y. Let m(b) = y*w(b) - 2*i(b). List the prime factors of m(-10).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gain when four letters picked without replacement from niawwgwcwnagw?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 527245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 4*o**2 - 3 - 3*o**3 + 2 + 7*o + 0*o**3 + 0*o**3 to the form d + q*o + w*o**2 + l*o**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*h**3 - 376*h**2 + 2564*h + 4720.\nAnswer: -4*(h - 4)*(h + 5)*(35*h + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 12*r - 4. What is h(-11)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-70)\/(-18) - (-4)\/(-18). Suppose -2*v = -3 - 3. Let o be v\/4*2\/6. Which is the closest to m? (a) -2\/3 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*g**8))**(-10\/11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*w + 5*w + 53*w + 24*w**2 - 2*w**3 + 60.\nAnswer: -2*(w - 15)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**6\/30 - 2847*s**5\/20 - 4*s**4\/3 + s**3\/2 + 3*s**2 - 3178*s. Find the third derivative of m(n) wrt n.\nAnswer: -24*n - 17082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5939 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**2 + 0 - 2\/15*g**6 + 0*g**4 - g - 5\/6*g**3 + 0*g**5. Find the second derivative of k(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Factor -2*s + 5*s**m - 5*s**2 - 2*s**2 + 4.\nAnswer: -2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1640 and 63\/5.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-1 - -6) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Let m = -2872 + 2878. Suppose -29 = -m*u + t*u. Solve 0 = -5*o - 2*i + 5 - u, 5*o + 5*i + 30 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2. Let n(d) be the second derivative of -d**7\/840 + 2*d**4\/3 + 9*d. Let k(t) be the third derivative of n(t). Give g(k(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -3\nAnswer: -128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 4*i - 6, -256*l + 258*l - 2*i + 12 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**2 - 64*c - 3. What is a(-11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Suppose -119 + 35 = 21*n. Let q(c) = -3*c + 13. Let u(h) = n*q(h) + 14*a(h). Determine u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4978380 and 26961?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55331 is divided by 333.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -5*b - 80. Suppose -v + 0*p = 2*p + 6, 0 = -5*p - b. Suppose -t + v*a = -271, -1355 = -5*t - 2*a - 2*a. What is t rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-5)\/((-10)\/(-42)). Let z = h - -18. Let l(w) = 7*w + 27. Let x be l(-2). What is the highest common factor of x and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240771523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:33 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/4428 and -79\/14022?\nAnswer: 84132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w + 4. Let k(j) = 10*j - 6. What is 5*k(n) + 6*x(n)?\nAnswer: -4*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24259*b + 24269*b + 23932*b - 72484*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1200\/(-720))\/(5\/(-6)). Solve -4*k = -d, k = -h*d - 3*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 117\/35 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2522521 rounded to 2 decimal places?\nAnswer: -11.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -505 and -3?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 490 = -14*b. Find the second derivative of 16*r**3 - 4*r + 13*r**3 + 1 - 7*r**3 - b*r wrt r.\nAnswer: 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5))**12\/(f*f**(2\/7))**24)**(-10\/11))**(-1\/19) assuming f is positive.\nAnswer: f**(-2496\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1731152\/5 or -346230?\nAnswer: -346230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.61 + -0.733. Let n = -0.423 - q. Let o = 0.06 - 3.06. What is the nearest to -2\/3 in n, 0.7, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 1170630.\nAnswer: 11706300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7990600?\nAnswer: 2, 5, 39953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5084*o + 3751996. Determine u(-738).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqq when four letters picked without replacement from gqqqgggqqggqqqgqqqgg.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -18. Let z = 70 + -50. What is the remainder when z is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.017, -1\/20, 17, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - -1.84. Let r = v - 1.93. What is r rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 84492853?\nAnswer: -84492827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l = -120*l + 22735. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -18. Let g = 2 + p. Find the first derivative of -3 + 6 + 6*a**3 - g wrt a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 35*c + 111. Let f(r) = -13*r - 56. Give 5*f(j) + 2*h(j).\nAnswer: 5*j - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92023, 181594, 271163, 360730, 450295?\n\"Answer: -r**2 + 89574*r + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1092*w**2. Let m(c) = -4*c. Give m(a(q)).\nAnswer: -4368*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -9, 3, 29?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201369*x**4 + 96*x**3 - 19485*x**2 - 25*x - 33.\nAnswer: 4832856*x + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.71. Let z = -0.89 + f. Let v = z + 1. Is v <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39407582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*11.9.\nAnswer: 0.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1649)\/((-10)\/(-10)). Suppose -u = -8*v + 2344. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13\/g**(-6))\/(g*g*g\/(g*g**9*g)*g**(2\/45)) assuming g is positive.\nAnswer: g**(1213\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -638 - -701.7. Let j = 64 - t. What is the biggest value in j, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-33)\/(198\/(-78)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 + 3*d - 30 - 5*d + 29 + 1 as s*d + a*d**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 + f**2 + f + 4. Let k(j) be the first derivative of -j**4\/4 - j - 1. Let u(q) = h(q) + 5*k(q). What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90556.03 years in centuries?\nAnswer: 905.5603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 67 = 2*u - 4*u, 0 = -5*u - 2*m + 115. What is the remainder when 146 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*b + 31*b + 80. What is the remainder when 77 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u - u**2 - 3*u. Let z be s(3). Let c = z + 18. Solve 0 = -c*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 9 = 5*v, -4 = -2*v + 5*h. Let u(m) = 4*m**2 + 2. Let s be u(v). Suppose -s = 2*b - 116. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-11)\/(132\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) - sqrt(77)\/(sqrt(22)\/sqrt(2)) - sqrt(28)\/(sqrt(100) + sqrt(100)*-2).\nAnswer: 1 + 41*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318 - -317.9686. What is w rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*m - 180 = -610*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*y - 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -3*o. Let y(p) = o + 0 + p + 7. What is the units digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2041 = -1351. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2917\/5 + -586. Suppose 3*u - 9 = 6*u. Let y be -1 - u*(-4)\/4. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6523800 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) 4 (d) -340153 (e) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 5, a: 1, o: 1, e: 1, y: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13896005, -13896013, -13896021, -13896029?\nAnswer: -13896037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 428 and 1605.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13765 divided by -624\nAnswer: 13765\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105229121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u + 340 = -13*u. Solve 0 = -17*q + u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 1, g: 1, r: 3, n: 2, e: 2}. What is prob of sequence fq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3005543733+-230604\nAnswer: -230603.6994456267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 + 27*k**3 - 215?\nAnswer: -4*k**3 + 81*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*x + 12 - 12 + 251*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949912519.\nAnswer: 17, 55877207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -51*v + 49*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0552516334 less than -234.291?\nAnswer: -234.3462516334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 minutes after 6:26 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/5 + 7\/5 + 0. Let o(k) = 5*k + k**3 + 4*k - 11*k - 4*k**2 + 3*k**b - 3. Let f(l) = -l**3 - 9*l**2 - 9*l - 5. Let y be f(-8). What is o(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 69, 47, 23, -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2954*f - 2516813. Determine z(-852).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 126*s**2 + 99670*s + 3164 = 0.\nAnswer: -791, -2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {z: 1, n: 5, f: 1, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73168, 73140, 73080, 72976, 72816, 72588?\n\"Answer: -2*u**3 - 4*u**2 - 2*u + 73176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*u + 18. Differentiate -7 - 3*k**3 + 0 + u with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/72 + (-18)\/(-48). Let s = 2 + -1. Which is the nearest to r? (a) s (b) 1\/4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -6500?\nAnswer: 3\/6500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 66 = -20*p. Let j = -33 - p. Suppose -5*k + 10*k - 20 = j. Solve -1 - k = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 4*w**2 + 4*w**2 - 26*w**2 + 17*w**3 + 26*w**2 + 3*w**3 - w**3 + w**3 + (3 - 3*w - 3)*(-2*w**2 + 4 - 4).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l + 3. Let m(s) = s**2 - 2*s + 4. Let d(b) = 5*b**2 - 8*b + 16. Let n(t) = -2*d(t) + 9*m(t). Calculate 3*f(h) - 2*n(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 57*u + 11 + 3 - 7 + 2 - 2 + u + (u + 2*u - 5*u)*(3 + 3 - 4) as o*u + l and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 10*f + 9. Let n be b(-9). Suppose 32 = 5*h + 2*q - n*q, q - 36 = -5*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 30*p**2 - 178*p + 245. List the prime factors of l(45).\nAnswer: 2, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 + 164 = -72*j - 307 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**2*q**2 + 2*f**2*q*w**3 + f**2*w**3 + 4*q**2*w**3 - 21*q*w**3 wrt q?\nAnswer: 8*f**2 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-565)\/4 + -7*(-9)\/252. What is the units digit of 20*(-1)\/6*m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*m = -1053*m + 30241 + 99616 for m.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -656.2 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:15 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001100111100 - -1111110?\nAnswer: 10111001110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = -2. Suppose -s*r + 0*r + 10 = 0. Let v be (3 - 4) + 1 + 1. Calculate the highest common divisor of r and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, t: 10}. What is prob of sequence hh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -3. Sort 2, g, 0 in increasing order.\nAnswer: 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -338, -839, -1540, -2441, -3542?\nAnswer: -4843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*i + 2377 = 2817 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 - 2*k + 3. Let d be n(-3). Suppose 14*p - 12*p = d. Solve p = 4*h - 3*c + 19, 2*h + 2*c = -2*c - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:30 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3 + (2 - 1 + 1)*(-2 - 2 + 5) - 4 + 4 + 5)*(-2*c**2 + c**2 + 3*c**2)*(3 + 1 - 2) to the form b*c + a*c**2 + h and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7606 + 15362 - 7540)*(43*d**4 + 49*d**4 + d - 106*d**4) to q*d**4 + h*d + z + s*d**2 + l*d**3 and give h.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 2*j**2 + j**2 + (-28*j + 29*j + 3329 - 2437)*(-2*j + 5 - 1 + 0).\nAnswer: 2*j**2 - 1780*j + 3568","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 33 + 48\/(-6). Let j be 1*9\/(-6)*(-13)\/p. Factor 3\/4*g + j*g**2 + 1\/4*g**3 + 1\/4.\nAnswer: (g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.106? (a) -1\/5 (b) -0.4 (c) -1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/6*w**6 + 0 + 14*w + 0*w**2 + 0*w**3 + 5\/6*w**4 + 3\/4*w**5. Find n, given that q(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 665499328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-974723)\/(-36782))\/((2\/(-8))\/1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -17*s**3\/3 + 44. Let r(v) = 0*v + 5*v - 5*v + 4*v**2. Calculate m(r(k)).\nAnswer: -272*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*s + 107*s - 2*g - 2040 = 0, -2*g + 2036 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12)*5\/((-75)\/(-40)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 7)*(9 + -10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000437225582 to 7 decimal places.\nAnswer: -0.0000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 - -227. Let v be (2 - k\/8) + 5\/10. Is 3.5 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 458*d + 3*d + 470*d.\nAnswer: 944*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 8. Let s be z(7). Let f = 12 + s. Suppose -3*r - 4*x = -4 - f, -4*r + 30 = -3*x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 213 - 292 = 5*c, c = 4*a + 681. Let o = a + 5441\/32. Is 0 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -19. Let p = -20 + -2. Let c = -18 - p. Solve -i = 2*i - h*n, 0 = -4*i + c*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -4*m**6\/3 + 5*m**2\/2 - 9. Find the second derivative of c(j) wrt j.\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 70*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*y**2 - 1 + 1 - 52*y**2 to the form o + h*y + j*y**2 and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -53.\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -63, -140, -249, -390?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y - 2*y)*(-11 + 4*y**2 + 11).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 25 - 5)*(2*b**2 - 4*b**2 + 0*b**2 + (3*b - 2*b + 2*b)*(b - 1 + 1)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*h + 8*h - 15*h**4 + 17*h**4 wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**7\/(j**(-3))**(7\/4))**(-6\/13) assuming j is positive.\nAnswer: j**(441\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**4\/8 - 2*l**3\/3 - 3542*l**2. Let u(k) = 7*k - 8. Calculate -7*q(r) + 4*u(r).\nAnswer: 7*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6160, 5927, 5700, 5479, 5264, 5055, 4852?\nAnswer: 4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/162 - (1 - (-46)\/(-36)). What is the closest to 10\/11 in -1\/5, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 2. Let v = -28 + 32. Determine o(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -83 (b) 0.05 (c) 5 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19061328, -38122665, -57184010, -76245363?\nAnswer: -95306724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6*k = k, -3*o + k = -17. Which is the closest to -0.2? (a) 1\/6 (b) o (c) -20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00393841613 to 7 decimal places.\nAnswer: -0.0039384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -416242, -832496, -1248768, -1665058, -2081366, -2497692?\n\"Answer: -9*r**2 - 416227*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 less than -3081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123, -1188, -4139, -9918, -19467, -33728, -53643?\n\"Answer: -157*z**3 - z**2 + 37*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 76, 0.1, -67?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10452.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 18. Let g be c(-12). Suppose 3*q - v - 11 = 0, q - 1 = -3*v + g*v. Suppose 4*j = -3*y + 623, -4*y + 0 = -q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1. Let c(f) = 2*f**3 - 5*f**2 - 11. Suppose 3 = 4*k - 5. Let v(d) = k*c(d) + 22*b(d). What is the third derivative of v(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320190403?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -4 (c) -42 (d) 0.41 (e) 1\/139 (f) -0.04 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x + 13 - 16 + 4 as z*x + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*c + 22*c - 27*c)*((-4 + 4 - 4*c)*(-5 - 1 + 2) + (-1 + 0 + 4)*(1 - 1 - 2*c)).\nAnswer: -450*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -949\/3772 + 3\/1886. Sort -0.3, b, -8, 0.5, 3 in descending order.\nAnswer: 3, 0.5, b, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*7\/(7\/3). Let m be (-1)\/(26\/(-8) + 3). Let k be m\/(-14)*(s + -2). Which is the closest to k? (a) -2\/5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-2)\/4)\/(-1). Let w = 72 - 70. Suppose 5*f = -5*f - 10. Sort m, f, w in ascending order.\nAnswer: f, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/4)))\/u)**(1\/10)\/(u**0*u)**(-2\/11) assuming u is positive.\nAnswer: u**(5\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = 2*k. Suppose 172 = 4*m - 5*l, 4*m - 7*m = -l - 140. Suppose -39 = k*x - m. Solve 0 = -3*o - 15, -5*o - 9 = -x*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0282380892 rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7239747372 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 744.6441 hours?\nAnswer: 2680718.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53549543 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, 0.4 in ascending order.\nAnswer: -3, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 28539094.51303.\nAnswer: 28539093.91303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/36 and -107\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/30 + 528\/825?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/243)\/((-3)\/(-18)*1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from {b: 2, g: 1, e: 1, p: 3, j: 2, l: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/126 + 1391\/273. Suppose a = 3*v + 2*v - 4772, -5*a = -c*v + 4760. What are the prime factors of v?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2445244? (a) -1 (b) -13 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:27 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.4686nm to millimeters.\nAnswer: 0.0002574686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**2 + 744*l - 3955. What is m(-42)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 6 (b) -4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32724.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 21. Let w be f(15). Let a = 69 - w. Let h = a + -21. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699*b**3 + 2*b - 1 - 821*b**3 - 2*b - 880*b**3.\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1009*y - 109995. Give p(-109).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)\/k)**30\/((k\/k**(-1\/15))\/k**(-1)) assuming k is positive.\nAnswer: k**(-661\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from {p: 4, k: 4, a: 8, i: 4}?\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6552)\/(-204)) + (-30)\/(-255).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose a + k = 5. Find the first derivative of i + a*i + 1 - 1 + 1 wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**3*f**2*t - 2*b**3*f + 198*b*f**3*t - 53*b + 4*f**3 wrt t.\nAnswer: -4*b**3*f**2 + 198*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p**3 + 5*p + 2. Let o(f) = -8*f**3 + 2*f + 1. Let k = -3 - -7. Let b(v) = k*x(v) - 9*o(v). What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -543.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxh when three letters picked without replacement from {t: 2, j: 1, f: 3, x: 9, m: 3, h: 1}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*p - 0*k + 185, -4*k + 20 = 0. Suppose f - 3*f = -p. Let j = -7 + f. What is the greatest common factor of j and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 31 + 2*b**4 + b**3 - 2*b**3 - b in the form h*b + l*b**2 + w*b**4 + j*b**3 + r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 20*b - 193. Solve -3*j + 3*n + b = 0, 4*j - 7*j - 3*n = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + 1*sqrt(6)) + -2.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1.749?\nAnswer: 0.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*1)**2 + 2 + 2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15832991 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24\/5863?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19 - -0.49. Put z, 2\/13, 3 in ascending order.\nAnswer: 2\/13, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 5 - 3 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**6\/10 + 9*h**5\/10 + 3*h**4 + 5*h**3 + 9*h**2\/2 - 10*h. Factor o(s).\nAnswer: 3*(s + 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i**4 - 1472*i**3 - 504*i**2 + 1472*i + 492 = 0.\nAnswer: -1, -1\/3, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111030021002 - -11?\nAnswer: 111030021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-8)\/(-6)))\/((-15)\/(-12))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) -102 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60846 and 2.\nAnswer: 60846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.3, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.046 (b) 4 (c) -0.5 (d) -12 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17705*h - 300986. Give m(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2be91?\nAnswer: 2be95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 1, u: 3, o: 5, k: 6, l: 4}. What is prob of sequence um?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045607395 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 2)*2\/(-2) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -501 (b) -2\/11 (c) 2\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deee when four letters picked without replacement from oeedededededoeeded.\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 2. Let v(o) = 4*o - 1. Let b be -2 - 9\/(-3)*-1. Let a(h) = b*v(h) - 3*t(h). Suppose 8*l - 10*l = 0. Determine a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*v + 848 = -5*v, -848 = -4*d - 2*v. Let l = d + -212. Solve l = 2*b + z + 10, -4*b + 9*z = 6*z + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 12 = 5*w, -4*g = w - 8 - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 16*j + 40. Calculate n(15).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + -3 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 8:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Find the third derivative of -l**4 + 0*l**s + 5*l**4 - 5*l**2 wrt l.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10981 times 6\nAnswer: -65886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/((-44)\/32)*366\/244?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9262, -7846, -6430, -5014?\nAnswer: -3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -61. Let w = -8 + 106. Let f = w + c. Calculate the highest common factor of f and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and -7\/822.\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1234*m**2 + 662*m**2 + 571*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(936)*5)\/((2*sqrt(288) + sqrt(288))*6) + 3)**2.\nAnswer: 5*sqrt(13)\/6 + 11989\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111010200222010?\nAnswer: 111010200222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 28. Let h be p(14). Let i be ((-2)\/8)\/(3\/(-12)). Let g be i\/(-78)*-74 + (3 - 4). Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/1374 and -23\/7392.\nAnswer: 1692768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -i + 2*i - 20, 16 = i + l. Let k be 3\/1 + (15 - i). Factor 2\/9*x**k + 8\/9 - 2\/3*x**2 + 0*x.\nAnswer: 2*(x - 2)**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = 2*i, 0*n + 8 = -2*n. Let x be (6\/i)\/((-20)\/(-16)). Which is the third biggest value? (a) 5 (b) x (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 4. Let g be o(-5). Let l be (g\/3)\/(1\/6). Which is the biggest value? (a) -0.5 (b) l (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 4*x - 6*x - 4, 13*t + 2 = -x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20)*-10)\/((-4)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*(((v*v\/v**(1\/6))\/v)\/v*v)\/v*v*(v*v\/(v**(-2\/33)\/v)*v)**(2\/23))**(5\/17) assuming v is positive.\nAnswer: v**(-28945\/25806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 - -936. Let t = 267.95 - r. Round t to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872570.1ml to litres.\nAnswer: 872.5701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.117*-4\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 2, w: 2}. Give prob of sequence wvn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15239978 is divided by 2539996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 2*n - 1. Let j be o(2). Let f = -4929 + 4929.2. Which is the second smallest value? (a) -40 (b) -0.5 (c) j (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/20)\/((-81)\/45). Let q(f) be the second derivative of 0 - 1\/2*f**2 + 0*f**3 - d*f**4 + 2*f. What is the derivative of q(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 4. Let q be x(-2). What is the units digit of 9\/(q\/4) + 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 213, 514, 1243, 2610, 4825, 8098, 12639, 18658?\n\"Answer: 35*j**3 + 4*j**2 + 44*j + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369712 divided by 14.\nAnswer: -26408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 769605 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151.9 - -152. Is i at least -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1555100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 194838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -331220122?\nAnswer: -331220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*o - a, 5*o = -0*a + 3*a + 60. Suppose 4*d - o = 45. Let z(l) = -34668*l + 20. Let v be z(d). Round v to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 - 27 = 5*z, 3*z = -n - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/33)\/(((-130)\/(-10))\/(-39)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 917190157 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(270\/24))\/((-6)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/6189 and 115\/186.\nAnswer: 383718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41000 and 2480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h + 286 = 0, 143 = 4*p - 3*p + 5*h. Suppose -z = -40 - p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = x - 293, -3*j - x - 153 - 18 = 0. Let b = j - -289\/5. What is the closest to 0 in 3\/8, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f. Let p(u) = -3*u**2 - 23*u + 2. Let q(z) = 6*i(z) - p(z). Let g be 33\/12 + 1791\/796. Let y be q(g). Let v(n) = -n + 9. What is v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 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: Let t(d) = 5*d**2 + 5*d + 4. Let y(b) = b**2 + b + 1. Let m be (-2)\/(-8) - 14\/(-8). Suppose s + s = m. Let i(l) = s*t(l) - 4*y(l). Factor i(q).\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6488.83 + -380\nAnswer: -6868.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 35 in increasing order.\nAnswer: -4, -3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 591508\nAnswer: 1774524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -81*b + 168. Let x be n(2). Let q(c) = -22*c**3 + 6*c**2 - 6. Let t(h) = 682*h**3 - 187*h**2 + 187. Determine x*t(y) + 187*q(y).\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**2 - 21*d + 10. What is g(3)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -33577455?\nAnswer: -33577447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -9*u. Let i(k) = 11*k**2 + k + 1. Let m be i(u). What is the highest common divisor of 44 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 - 25*v**2 + 28*v + 2. Let y be d(7). What is the nearest to -0.1 in -6, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. What is the first derivative of 214 - 357 - 25*b**v + 4*b**2 wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let w(d) = 9*d + 7. Let x be w(5). Suppose 3*u - 5*r - 20 = 0, 3*r - l*r = -5*u + x. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2284*f - 23 = 2281*f, 14 = -2*z + 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03800498 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 + 27878161*x\/2 + 777191860741921\/2.\nAnswer: (x + 55756322)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x + 16. Let q be (-6)\/9 + 44\/12. Let p(s) = 5*s - 3. Let f(y) = q*u(y) + 16*p(y). Let d(v) = -5*v**2. Calculate d(f(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 2. Let l(h) = 2692*h + 16. Determine 8*a(q) - l(q).\nAnswer: -2668*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 24. Let z = q - 7. Solve -g - 12 = 3*o, -o - 19 = o - z*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**3\/6 + 4*y. Let j(a) = -10*a**2 + 3 - 3 + 0. What is j(v(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840990, -3681985, -5522972, -7363951?\nAnswer: -9204922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 5513*l**2 + 98891*l - 104405.\nAnswer: (l - 1)*(l + 19)*(l + 5495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 4 - 6\/(-3). Suppose 4*r - 19 = c - r, 5*r - 17 = a*c. Calculate the least common multiple of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10325749762+-20.7\nAnswer: 10325749741.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7 = -3*f - 3, 10 = -f - 2*p. Let x(a) = -a. Let m be x(-2). Let b be 0 - (-1)\/14*m. What is the closest to f in 1, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.07 + -0.07. Let n = -48032 + 48031.5. What is the closest to l in n, -5, -4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 379010216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -43*r**4\/2 + 3*r**2 - 101*r - 83. Let v(c) = -517*c**3 + 34*c - 607. Let i(a) = 6*v(a) - 34*x(a). Differentiate i(t) wrt t.\nAnswer: -534*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 804678.\nAnswer: 2\/402339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.0737?\nAnswer: 0.9263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from fkbcu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:42 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k - 4*k**2 - 6 + 5*k + 5*k**3 - 4*k**3. Let n be p(4). Suppose -2*o = 5*q - 25, -n = -q + 3*q - 4*o. Solve -2*i - q*w - 25 = -0*w, 25 = -5*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/(11\/(-165)*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.87725 times 0.1?\nAnswer: -0.087725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -299, -663, -1215, -1979, -2979, -4239, -5783?\nAnswer: -7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + k - 1 - 3 + (180 - 215 - 213)*(-4*k + 3*k + 0*k).\nAnswer: 249*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 13*u + 10. Suppose 2*f = -13 - 11. Let s be d(f). Let k(i) = -2*i**3 - 2*i**2 - 2. Let t be k(s). Let b(p) = -p**2 + 6*p + 1. Calculate b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:54 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-4)*8\/(-6). Suppose 24 - j = 3*o. What is the smallest common multiple of 14 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40573711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0991 in -3, -0.2, -1\/6, 16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64045 divided by -3.\nAnswer: 64045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*p - 38, 0*s = -s - 4*p - 22. Let q(w) = -w - 2. Let i be q(-10). Let m = s + i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6 - -514af?\nAnswer: 51555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6434145 + 5?\nAnswer: -6434140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096598 at least as big as 1096555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84 - -1d?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -48, -46, -62, -102, -172, -278?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.5. Let h = -1.3 - o. Let i = -0.6 + h. Round i to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 2302131010?\nAnswer: 2302130321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1584*v**3 - 561 wrt v?\nAnswer: -4752*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 9*c - 8*c. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d. Let q(t) = -t**3 - 2. Let p be q(-2). Suppose 2*k + p = 2. Is i(k) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let g be m\/(-8) - (-18)\/8. Let j(b) = -2 - g + b - b**2 + 2*b**2. Determine j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 29. Suppose 0 = y*l - 18 + 6. Solve -l*r - 4*q = -q + 15, -3*r + 2*q = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llgllgl. Give prob of picking 3 l and 1 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/11 in 30, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2644360.964 to the nearest ten thousand.\nAnswer: -2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 18 = 4*o. Suppose -o - 12 = -3*r. Calculate the remainder when 10 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 1 = 4*r + 9, -4*r = -5*a - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (117\/(-6))\/(9\/18). What is the units digit of -33*5\/(15\/z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*(-2)\/18)\/1)\/(6\/(-36)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429897461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/69 (b) -18 (c) -375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 633365 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*((0 + sqrt(245) + sqrt(245))**2 - sqrt(245))*2*-4)*-2 + -3.\nAnswer: -560*sqrt(5) + 78399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251 - -138. Let w = 113.5 + l. Put w, -4\/9, -1\/5 in increasing order.\nAnswer: -4\/9, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*r - 80 + 36 + 46)*(-26 - 8 + 0)*(4*r + 0*r - 2*r).\nAnswer: 8636*r**2 - 136*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = 5*d. Let n(t) = t**3 - 4*t**2 + 2*t - 6. Let u be n(d). Suppose -21*m = -9329 + 9434. Which is the nearest to 0.1? (a) 0.4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.9 (c) -1\/3 (d) -0.2 (e) 8 (f) -18763\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 32 = 13. Suppose 0 = t - 3*r - 2, 0 = -5*t + 5*r + 24 - 4. What is the second derivative of j**5 - p*j**t + j**5 - j wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26356 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1428*s**2 + 4. Let r(u) = 3*u. Determine z(r(v)).\nAnswer: -12852*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -35.2. What is the closest to -1 in l, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2 + h - 64*h**3 - 7*h**2 + 3*h - 34*h**3 wrt h?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 9*x**3 + 2184*x**2 + 29172*x + 82320 = 0.\nAnswer: -686\/3, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let t(f) be the first derivative of f**3\/2 + 3*f - 2. Let m(x) be the first derivative of t(x). What is m(q(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 307*u**6 + 211*u**2?\nAnswer: 36840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*l = -12 - 9, 2*b + 9 = -3*l. Suppose p + 6 = b*p. What is the units digit of -8*p\/(-6)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217462977 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4755341 - 4755341 + 6*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 62 = i - 4*i, -5*i + 2*j + 130 = 0. What is the remainder when 47 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 0.5 (c) -2 (d) -11\/115 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 2*c + 2. Let p be ((-126)\/56)\/(1\/4). Let s(l) = l**3 + 9*l**2 + l + 11. Let o be s(p). Suppose 5*u = o*u - 6. What is j(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 8*k - 37, 19 = 49*i - 50*i + 4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-692)\/(-20) + -32)*(-9 - -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6863074?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 1. Let z be r(7). Let g be (-4)\/(-24) + 35\/z. Let y(u) = u**2 - 7*u + 6. Give y(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72, -165, -258, -351, -444, -537?\n\"Answer: -93*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 f when four letters picked without replacement from {f: 2, c: 2, j: 4, d: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34225 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 1.44, -1, -61\/13 in increasing order.\nAnswer: -61\/13, -1, 0.5, 1.44, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 686 + -1328. What are the prime factors of -3*-2*z\/(-9)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 84*f**4 + 6092*f**3 - 14868*f**2 - 14588*f + 6288 = 0?\nAnswer: -524\/7, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.88076 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -2. Let v = k - -1. Sort 5, v, 0 in decreasing order.\nAnswer: 5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1 - 3 - j + 12 - 3. Let o be u(1). Solve -5*r - 15 = -5*h, -h + o*r - 7 = -19 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38284 and -1307?\nAnswer: 50037188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/21)\/((-1)\/(-35)). Suppose 2*b + b + 2*u = -93, -105 = 3*b - 2*u. Let l = b + s. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3780450*v**3 + 5*v**2 + v - 100965 wrt v?\nAnswer: -22682700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, 7, -95 in descending order.\nAnswer: 7, 5, -16, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1129166 - 7315150 = u. Let a = u + -4014879. Let p = -5900863 - a. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-2)*6\/9. What is the highest common divisor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*d = 4, -8 = -5*j + 25*d - 22*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + 2632. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 129. Suppose 3*y - x = -35. Let c be (6\/9)\/(-1)*(0 + -24). What is the greatest common divisor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -2*u. Let x(v) be the second derivative of 1\/20*v**5 + u*v**4 - 1\/6*v**3 + 0 + v + 0*v**2. What is the second derivative of x(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.011 and -36284090869.\nAnswer: -36284090868.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - j + 8 = -25*w, -18 = -w - j + 2*j for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273 + 276. Let w = -149 - -329. Suppose h*t - 8*t = -b + 230, -w = -b - 5*t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 11. Suppose -15*c - 4224 = 20*c - 83*c. What is the highest common divisor of c and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:20 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7177, 7176, 7171, 7156, 7125, 7072, 6991?\nAnswer: 6876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 - 2*l - 2. Determine u(2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*q**2 - 50*q**2 - 4*q + 68*q**2 - 3*q in the form h*q**2 + b*q + d and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f084c - 0?\nAnswer: -f084c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*p - 155*p**2 + 57 + 151*p**2.\nAnswer: -4*p**2 - 5*p + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14728011 by 211.\nAnswer: -69801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglgggggllgggg. Give prob of picking 2 l and 2 g.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnbbmbbbmsmndbgnsbbd. What is prob of sequence nnnb?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 20. Let y be t(-8). Suppose -411 = -y*q + 97. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = -12. Sort 0, -5, h in ascending order.\nAnswer: -5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000648972191 to 7 dps.\nAnswer: -0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/14)\/((-6)\/20))\/(110\/198).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 2, g: 4}. What is prob of sequence jz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-1 + 0\/3). Let i be ((-2)\/36)\/(g\/(-16)). Is i at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9131397 - -3.753142. Let b = 0.3838 - 0.2238. Let x = b + k. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 3*-2*17\/(-2). Suppose m = 2*t - 429. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21106788, -21106789, -21106790?\n\"Answer: -y - 21106787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031147913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -20413282868.2415.\nAnswer: -20413282868.4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**6\/18 + 8*x**5\/15 - 3*x**4\/2 + 16*x**3\/9 - 5*x**2\/6 - 5. Factor o(i).\nAnswer: -i*(i - 5)*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*r + 3. Suppose -r*u + 674 = -u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 + (-72)\/33. Let v = 0.6 + -0.9. Let p = v + -0.2. Which is the second smallest value? (a) p (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 302*r**2 - 52*r + 176. List the prime factors of n(10).\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.59 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 3. Let q be u(-7). Suppose 2 + q = w. What is the remainder when 21 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 201.37 from 7.1036.\nAnswer: -194.2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423915.\nAnswer: 3, 5, 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6573 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -286*o**3 + 5153*o**2 - 23256*o + 405.\nAnswer: -(o - 9)**2*(286*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*-1807*314\/2041.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 + 90*z + 323. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:40 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106 by -15055.\nAnswer: 106\/15055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 7098 = 6642. What is the greatest common divisor of 1698 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*-2\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aca2 + -3?\nAnswer: -aca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 54*y**2 - 743*y - 68. Calculate the remainder when 501 is divided by v(-37).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5612138 divided by -34858?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 27 = 2*a, -2*a = 90*s - 92*s + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 0*z + 19*z + 7 + 107 - 30.\nAnswer: -2*z**2 + 19*z + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 49530\/(-6096)*(-96)\/30\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 12. Let f = 6 + r. Suppose -26 = -3*k + 2*q, -5*k + q + f*q = -41. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.88 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 6*g**3 + g**3 + (-3 + 2 + 3)*(-4 + g**3 + 4) + 2*g**3 + g**3 - 5*g**3 + g + g**3 - 4*g**3 + 18*g**3.\nAnswer: 12*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z**4\/5 + 2132*z**3 + 833808*z**2\/5 - 139264*z\/5 = 0 for z.\nAnswer: -68, 0, 1\/6, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/15)\/((-2)\/580). Let l = 89 + v. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 33*t**3 + t + 1. Let u be g(-1). Let a = u - -21. Let l = a - -22. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**6\/180 - d**5\/120 - d**4\/24 - 2*d**3\/3 + 2. Let a(g) be the third derivative of m(g). What is a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*l = 408, -l - 20 - 184 = 2*r. Let v = r + 311\/3. Let g = 3.8 + 0.2. Which is the second smallest value? (a) v (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 7*h + 34. Calculate c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6586121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8\/p)\/p*p**(-3\/11)*(p**(-2)\/p)\/p**(2\/3))**36 assuming p is positive.\nAnswer: p**(816\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 9. Let h(z) = 4*z + z - 15 + z + 5*z. Let k(d) = -6*d + 8. Let w(v) = 3*h(v) + 5*k(v). What is -4*n(g) - 7*w(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 32.8. Which is the biggest value? (a) u (b) -3\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 11. Let t(l) = l + 4. Let u(f) = 11*t(f) + 4*z(f). Suppose -4 = -5*x - 4*g - 7, -g = 3*x + 6. Determine u(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*-2*sqrt(7) + 1*sqrt(7) + -5 + 1)**2 + (sqrt(56)\/(sqrt(64)\/sqrt(128) + sqrt(8) - sqrt(8)) - (sqrt(21)\/(sqrt(12)\/sqrt(4)) + -1)).\nAnswer: 443*sqrt(7) + 4316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -319\/5. Let i = -2 - -6. Which is the nearest to 1\/2? (a) h (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 99*x**2 + 2*x - 4. Let i be k(2). Let h = i - 216. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.151 - 1.039. Let v = r + 1. Let m = v - 0.7. Round m to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/20 - 3\/15. Let z be m - (-2 + (-24)\/(-9)). Let j(w) = -w**2 + 3*w + 3. Let v be j(4). Do z and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/86182 or 1?\nAnswer: 131\/86182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.4, -0.1, -4\/19, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-25)*65\/52*-16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 3177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4, 17478, -0.1, -2\/5, -743?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 71760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(77)\/(sqrt(44)\/sqrt(4)) + sqrt(7))**2 - (sqrt(63) - sqrt(126)\/(2*sqrt(2)))**2).\nAnswer: 589\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164687849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3266 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 79 = 5*n, 16*v + 6*v + 3*n = 57 + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*c - 4, 0*t - 26 = 2*t + 5*c. Let o be ((-3)\/6)\/(t\/(-12)). Let k(h) be the second derivative of -h**4\/12 + h**3\/3 + h**2 + h. Determine k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0.05, -85, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 15) to base 13\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.3 - 8. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31410319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2762*w**2 + 29092*w - 29092*w to the form z*w + b + u*w**2 and give u.\nAnswer: -2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let h be (-8 - q\/1)*-2. Suppose -m = 5*u - h, -3*u - 4 = -13. Solve 4*i - m*d = -d + 10, i = 4*d - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 * -0.3\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19007 and 57479?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210.7 + 211. What is the nearest to o in -15, -0.05, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63617924 rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4642591 by 4831.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-359)\/(-1251)*(118\/(-4) + 1). Let k = 850030\/3753 + -6106\/27. Let r = o + k. Find the common denominator of r and -5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 52*c - 525. Give z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4659434714 to the nearest integer?\nAnswer: 68260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 11*x**2 - 23*x - 10. What is k(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.006 (c) 2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 12*r**2 + 10*r - 11. Let s be m(-11). Suppose s*i - 3*i = -39. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24311323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5 - 105*k**4 - 1876*k**3 + 97680*k**2 + 2588000*k - 5550000 = 0.\nAnswer: -50, -37, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1 - 4) + 14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -300, -2677, -9960, -24603, -49060?\n\"Answer: -409*z**3 + z**2 + 483*z - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103278618 and 1998?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 462 = 4*h. What is the remainder when h is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 521, 1772, 3711, 6338, 9653, 13656, 18347?\n\"Answer: 344*b**2 + 219*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 12:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 17*t + 6. Let q(o) = o**2 - 18*o + 6. Let h(m) = -7*c(m) + 6*q(m). Does 22 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294966*p + 10*p**3 + 294966*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qiiiiqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1738837839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = -f. Solve -3*g = f - 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9136.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*7\/(-28))\/((-6)\/10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 9 - 15. What is the units digit of -2*-2*(-142)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, 5 in increasing order.\nAnswer: -18, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/3 - 1060*w**2 + 297397*w\/3 - 287848 = 0.\nAnswer: -3271, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.55 - -0.65. Let c = -7.9 - o. Let s = 6 + -5.7. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 27 - 27 - 4*q**2 + 2*q**2. Let r(a) = 37*a**2 - 2. Calculate r(u(f)).\nAnswer: 148*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -34. Suppose 0 = -c - 2*c + 3. Calculate the remainder when c is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-40)*h)*h)\/h)\/h**(8\/5)*(h*h*h**(5\/2)*h)**12 assuming h is positive.\nAnswer: h**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - (-4 + 2*sqrt(76)) - ((sqrt(304) - sqrt(304)*2) + 1)**2.\nAnswer: -301 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30 + 1487*m**6 - 57*m - 187*m**6 + 14 + 57*m - 36*m**2 wrt m.\nAnswer: 156000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -53*z. Let j(q) = 8*q**2. Determine r(j(o)).\nAnswer: -424*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -26*i - 543. Let h be j(-21). Solve h*c - 3 + 10 = 5*z, -3*z + 7 = c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + (-2155)\/(-4). Let t = i + -757. Find the common denominator of 79\/20 and (t\/18)\/(28\/(-21)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + sqrt(28)\/sqrt(4))*-3)**2.\nAnswer: -54*sqrt(7) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*r - 1147 + 312 = 2469 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.5. Let c = -4 + 2. Let q = c - -2.1. What is the biggest value in a, q, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/18 and -13\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 8*b + 78 - 23 - 26.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:15 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g*(((g\/(g*g**(-4)*g))\/g)\/g)\/g)\/g)\/g)\/g))**(1\/4)*(g\/g**(-1))**(-25))**(-42) assuming g is positive.\nAnswer: g**(4137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-10))\/(2\/(-10)). Suppose 1 + 2 = a. Suppose -2*t = t - a*m, -5*m = k*t. Solve t = 4*r - 3*f - 22, r = 2*f - 1 + 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxp when three letters picked without replacement from fffffxjxsfvpsfsf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14f - -1?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*r - 19675 = 62925 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(90\/492)*15000. What is q rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2539 + 1495. Is -1045 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24) - 235*4\/120.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072907073.\nAnswer: 3, 7, 5676757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003031438 to 6 decimal places.\nAnswer: 0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-4)\/(-60))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*h - 1227, 2*o - 1230 = 14*h - 10*h. Let v be 23*((-1)\/1)\/(-1). What is the greatest common divisor of v and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0621 + 62\nAnswer: 62.0621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301421014 - -32?\nAnswer: 301421101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - y - 3 = 3, 2*y = 2*q. Let m be (6*(-2)\/(-24))\/(q\/16). Let c = 3.8 - 0.8. Are c and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(209) + 2*sqrt(209)))\/((sqrt(396) - -5*sqrt(396)) + sqrt(396))*6 + -4.\nAnswer: -6 - 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllbbbllblllbbl. Give prob of picking 3 b.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 5220120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 291198.2 millilitres?\nAnswer: 291.1982","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401 - 253. Let v = -281\/2 + w. Find the common denominator of 101\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqwqqqbqwqqqwqow. What is prob of sequence qqq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*k = 0. What is the least common multiple of 131 - (-2 + 2 - 1) and ((-2664)\/(-1665))\/((-1)\/(-10) + k)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*v - 25 + 1209 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/65))**(-47) assuming d is positive.\nAnswer: d**(-3149\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.9 + 53. Let g be (-62)\/(-66) - (-5 + 4)\/(-1). Let l = g + 103\/66. Sort l, 2\/23, h in decreasing order.\nAnswer: l, h, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(45\/150*1090\/(-12)). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -217 (c) -1252\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 - 686?\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147031703971 - -1?\nAnswer: -1147031703970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-24) - ((-70)\/(-91))\/((-1140)\/2470)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = 3*a - 3180. Which is greater: 211 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - 15003*1. Round c to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5686, -44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (-149 - 42)) + -120.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 < -261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/106160 and 23\/204.\nAnswer: 5414160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*(sqrt(363) + 0) - ((sqrt(3) - sqrt(12)) + -3 + sqrt(3) - (sqrt(72)\/sqrt(2))\/sqrt(12))) + -5))**2.\nAnswer: 40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-715963)\/(-15) - (-3 + 344\/120) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73715 is divided by 322?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -36*b**3 - 5*b**2 - 11*b. Let p(d) = -37*d**3 - 6*d**2 - 12*d. Let v(n) = -6*i(n) + 5*p(n). What is the second derivative of v(h) wrt h?\nAnswer: 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7837 = -4*k + 5*s, -k = 29*s - 32*s - 1961. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49512845971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 0. Let b = r + -28.962. What is b rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b - 2696 = 72*b - 504. Let c(a) = -a**3 - 15*a**2 + 18*a + 37. Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1639.\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83712 divided by 6?\nAnswer: 13952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**2 - 20*x**2 + 47*x**3 + 9*x**2 in the form w*x + f + l*x**3 + p*x**2 and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and -854?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (-29 + 92) - (0 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkx. Give prob of picking 2 x and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 135c83 (base 14) to base 6\nAnswer: 22202231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -248 + 250.81. Does l = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -9, 12, -27, -4.\nAnswer: -27, -9, -4, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3420, 3428, 3446, 3480, 3536?\nAnswer: 3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1323 - 508. Which is the smallest value? (a) 0.4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from tatuaauspual?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 7 = -63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196100 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*v**2*y - v - 232*y wrt v?\nAnswer: 122*v*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -1\/12, 555\/4, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18501, 18496, 18487, 18474, 18457?\n\"Answer: -2*q**2 + q + 18502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -5*p + 125. Suppose 0 = -5*d + z + 198, -6*d + 2*d + p = -3*z. Let j = d + -47. Which is smaller: -9 or j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 19387734?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 131, 354, 779, 1472, 2499?\nAnswer: 3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 15 + 36. Suppose -19 = -v - g. Put -2, 5, -3, v in ascending order.\nAnswer: -3, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-106)\/(-22) + 5 + 53\/(-11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (218348\/1672 + -130)*44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 308 (b) -8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089389 to seven dps.\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*2 - 1. Let t be c\/8 + (-6)\/(-4). Suppose -7*j = 4*n - 2*j + 10, -j - 2 = 2*n. Sort n, t, 4 in descending order.\nAnswer: 4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111\/4*m**3 + 0 - 759\/4*m**2 - 645\/4*m + 3\/4*m**4 = 0. What is m?\nAnswer: -5, -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152\/36 + (-2)\/9. Solve -2*g + 3*n = -13, h*g - 4*n = -6*n + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:01 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.5 + -0.5. Let w = o - 29.9. What is the smallest value in -1\/7, 7, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -399607.573 to the nearest 100.\nAnswer: -399600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8767\/42 - 1502\/7. Calculate the common denominator of u and (-1117)\/936 - 2\/(-9).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24776649 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 341 and 245520?\nAnswer: 245520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 345600867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-302)\/(-453))\/((-4)\/(-78))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. Let c = t - -2. Suppose 8*o = 7*o + 19. What is the remainder when o is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3652850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 519169 and 0.1.\nAnswer: 51916.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82111 and -931.\nAnswer: 76445341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = c + 17, c = -0*h - 4*h + 23. Suppose q = -c*q + 20. Suppose q*w = 3*w + 12. What is the greatest common factor of 48 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 22*b + 24 = -4*r, 10 = 3*r + 4*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*m = 853*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*i - 568, -2 = -h - 6. What is the remainder when i is divided by 7740\/210 - (-2)\/14?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:38 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2647 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5422103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 579 by -3.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-1 - 2 + 4)*(-213*l - 58*l + 102*l).\nAnswer: -169*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:09 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7205 + 5880 + 1115 = 2840*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhfhohdilfif. What is prob of picking 1 o, 1 f, and 2 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59208255 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 37\/4 (c) -1 (d) -5 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 7*d + 14. Suppose 3*k + 25 = 10. Let b be c(k). Suppose 5*h + 3 = -3*u, 4*h + 25 = b*u - 3. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 17*h**3 + 2*h**2 + 1. Suppose x = -3*x + 4*o, 2*x - 10 = -3*o. Let v be z(x). Let d = -1886\/13 + v. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*k = -167, -2*i - 97 = -4*i + 3*k. Suppose 9*s + i = 62. Solve -56*h + 196\/3*h**s + 12 = 0 for h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*s**2 - 172 + 172 in the form a*s + k + p*s**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 5. Let s(h) = -3*h**2 - 30*h + 24. What is -5*s(m) + 24*x(m)?\nAnswer: 15*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154587490.\nAnswer: 2, 5, 1789, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 2*q**3\/3 - 16*q**2 + 56*q - 16. Let c(z) = 0. Calculate z.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -228. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -23*s**4\/12 - 42*s + 108. Let z(x) be the first derivative of g(x). Let r(p) = 5*p. What is z(r(i))?\nAnswer: -575*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - i + 37 = -0*o, -2*o = 2*i - 18. Let c = -1 + o. Solve -5*s + c = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30193.07 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 0. Let r = -105 + s. Solve 3*z + 13 = u, -3*u - 10 - 3 = r*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-15)*(1 + 1). Let r be 48\/64*488\/30. Are r and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572 or -570?\nAnswer: -572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1066678?\nAnswer: -1066678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3. Let v(t) = -3*t**2 - 15*t - 32. Give -2*n(x) - v(x).\nAnswer: x**2 + 15*x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 542815?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - y**2 + (-1 - 3 + 5)*(10*y**2 + 2*y**2 + 3*y**2).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/2 + 5*t - 51. Let g(d) be the first derivative of h(d). Let f(b) = 15*b. Determine g(f(m)).\nAnswer: 1350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 2 r when four letters picked without replacement from {t: 1, p: 7, u: 1, z: 9, r: 2}?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 6.5. Let t = 40 + -42.1. Let y = t + 2.4. What is the smallest value in -2\/9, y, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 1\/6 (c) -3 (d) -6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*x + 8, 3*x - 11643 = 3*f - 11637 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 5, o: 2, k: 1, e: 1}. Give prob of sequence lno.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 225 + -10?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2045849 and 6266?\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 1\/3*n**2 - 2 + 5\/3*n = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 14, 1, 0, -370 in increasing order.\nAnswer: -370, 0, 1, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 23*p**4\/3 - 35*p**3\/3 - 60*p**2 + 2. What is the first derivative of i(z) wrt z?\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*h**2*m + 5120*c*h - 3*h**2 + 588*m wrt m?\nAnswer: 2*c*h**2 + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83653 millennia in centuries?\nAnswer: 8.3653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41791 (base 11) in base 4?\nAnswer: -32312222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from lvvtllllltpltvllttt.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 - 0.03. Let q = -6198 + 6198.05982. Let u = o - q. What is u rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254.97 - 240.399. Let y = c + -0.271. Round y to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 110?\nAnswer: 61600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*-2 + 64\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**3 - 9*m**2 - 23*m + 35. Let b(r) = -5*r**3 + 5*r**2 + 11*r - 18. Let h(v) = 9*b(v) + 4*f(v). What is the tens digit of h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))**(-6)\/(y**(-1\/2))**(3\/2) assuming y is positive.\nAnswer: y**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3019526 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 260. Let g = 192 + x. Solve -7*h - 7 = -g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29918371 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0 = -4*w - 12, 4*w = 5*p + 33. Let s(x) = x + x + 19284*x**2 - 19290*x**w. Let j(l) = 7*l**2 - 2*l. Give -4*j(q) - 5*s(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Suppose 0 = -u*s + 4*h - 43 + 105, -h + 22 = s. Let b = s - 12. Calculate the highest common factor of b and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -15 + 8 - (-163 + 176)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 - 6*h. Let f(j) = -j**2 - j. Calculate 12*f(p) - 3*i(p).\nAnswer: 3*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7197 + -21325\/3. Let g = i + -90. Which is the second smallest value? (a) g (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 5*i - 5. Let s(c) = -5*c**2 + 4*c - 4. Let q(y) = 5*s(y) - 4*x(y). Let a(m) = 11*m**2. Calculate a(q(g)).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*g + 56*g - 120. Suppose -g*o + 62 = 11*o. Solve -4*q = 3*v - 11 - 11, 0 = q - 3*v + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2836 and -0.05227212901?\nAnswer: 2836.05227212901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14227110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 16526.\nAnswer: 13\/16526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13781\/1133 - -400\/33. Do -1 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004618223 to 5 decimal places.\nAnswer: 0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30441 + 32280. Let h = 62930.811 - t. Let f = h - 210. Round f to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h - y - 5 = 0, 5*y - 20 = 0. Let u be 19 - (2 + h - 2). What is the second derivative of -z + u*z**4 - 18*z**4 - z wrt z?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80112544 is divided by 491.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -17*g**2 - 4443*g - 33. Let u(k) = -11*k**2 - 2962*k - 21. Calculate 11*u(z) - 7*v(z).\nAnswer: -2*z**2 - 1481*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 7063301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {e: 1, t: 4, d: 3, z: 1, w: 8}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 404 divided by -4\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad7f6 (base 16) to base 2.\nAnswer: -10101101011111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 6207e?\nAnswer: 62076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Solve 0 = s + z - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 687?\nAnswer: 687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Suppose w - 2*y - 44 = n, 2*w + 0*y + 4*y - 80 = 0. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 221*h**2 - 1329*h + 10. Determine c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -988*g - 2861. Is h(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -512 + 517. Solve 3*a = 15, -u*m + 29 = -3*m + 5*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5 = o, 5*x + 28*o = 30*o + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -35.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*o**5 + 3*o + 3*o**2 - 3*o**2 + 69*o**5 + 13 - 2*o wrt o?\nAnswer: 1520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 43*c. Let g be k(1). Let p = g - 21. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2401.8711 months?\nAnswer: 0.200155925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283216841 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 d(v) be the first derivative of v**8\/210 + v**6\/40 - 3*v**3 + 12. Let o(u) be the third derivative of d(u). Find the third derivative of o(j) wrt j.\nAnswer: 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599734933 - 309*f**3 - 599734933.\nAnswer: -309*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 72*a**2. Let s be k(-1). What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**3 - 16*f**2 - 7*f. Suppose 7*c = 10 + 4. Let r(s) = 3*s**3 - 5*s**2 - 2*s. Let i(l) = c*p(l) - 7*r(l). Factor i(o).\nAnswer: -o**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169472 and 64?\nAnswer: 169472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1000059167402.\nAnswer: -1000059167402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 21*l**2 + 37*l - 53. Determine q(-17).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2055115.\nAnswer: 5, 139, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**8\/60480 - j**7\/3780 - j**6\/540 - 5*j**5\/12 + 21*j**2. Let b(s) be the third derivative of y(s). Factor b(i).\nAnswer: -(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -492, -747, -1000, -1251, -1500?\nAnswer: -1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 12\/11*i - 1\/11*i**6 + 9\/11*i**4 + 25\/11*i**2 + 24\/11*i**3 - 4\/55*i**5 - 169. Let v(k) = 0. Calculate k.\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q**2. Let z(w) be the second derivative of w**5\/20 - 13*w**2\/2 - 23*w. Let o(v) be the first derivative of z(v). Give i(o(k)).\nAnswer: -90*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -62644\/5, -3, -8, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5743 = 2*s, 4*i + i - 28707 = -2*s. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z = -2*z - 324 - 16 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 30797?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 2.1. Suppose -13 = -w - 17. What is the biggest value in a, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2659 divide 125693589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/(-147))\/(66\/88)*(-84)\/(-24)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11500 divided by -2875\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, k + 103 = 2*k - 2*g. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03394 to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2566 - -2565.99998157. Round w to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 77 = -k. Suppose 2*o + 76 = -0*o. Let r = o + k. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + 41. Suppose 2*b = -10, 3*h = 6*b - b + f. List the prime factors of h\/(-10) + 1 + (-9646)\/(-65).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -13.9. Let j = 0.87 + 1.13. Let s = 2.8 - 3. Put s, j, h in decreasing order.\nAnswer: j, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 780 + 68. Let k = f + -362. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62838 - 62838 + 1128*z + 2*z**2 to x*z + k*z**2 + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let j = -0.1 + -179.9. Let i = -176 - j. What is the smallest value in f, i, 0, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let i(h) = -368837*h + 142. Give i(z(d)).\nAnswer: -368837*d + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a millennium in centuries?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(-3 + ((0 + sqrt(1539))*-4)**2)*-6.\nAnswer: -4431780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36851012651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27445927 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let y(k) = k + 2. Let l(h) = -3*t(h) - y(h). Suppose -o - 4 = -1. Let f(b) = 5*b + 2. What is o*f(d) - 4*l(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-815)\/(-8 + 3) - -1. Suppose 5*g - v = 41. Let r = g - 5. What is the highest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 11*r**2 - 48*r - 180. What is the lowest common multiple of x(-8) and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0 + 0*s**2 + 1 + 2 - s**3 + 4*s**2. Let d be a(4). Suppose 0 = d*o - 6*o - 4*i + 125, 5*i + 45 = 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 4. Let d be k(-4). Let b = d + -7. Suppose -q**b + 3*q**4 - q**4 - q**4 + 2*q**3 + 0*q**3 = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 u when four letters picked without replacement from uuuuuuyuwuuggygu.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*u = -316*u - 316*u + 9075 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-15) - (1 - 56\/35). Suppose 4*u + f = 572, 45 + 87 = u + x*f. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 - 296. What is the remainder when 118 is divided by ((-6)\/(-4))\/(-9 + b\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -242542, -970176, -2182890, -3880678, -6063534, -8731452?\n\"Answer: b**3 - 242546*b**2 - 3*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 23) + (237 - 210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7426*q - 7426*q - 102*q**2 + 955*q**2 + 1790*q**2 - 2*q**3 to w + i*q**2 + x*q + o*q**3 and give i.\nAnswer: 2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*(z*z*z**(-1\/5))\/z)**(4\/13)*(((z*z\/(z**(-1)*z))\/z)**(-49))**(3\/11) assuming z is positive.\nAnswer: z**(-603\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1060197571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236341 and 7562.\nAnswer: 94063718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1.5. Let h = -7\/97 - -313\/1649. Which is the second smallest value? (a) t (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 6:14 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-272)\/3 + (-6)\/(-9). Let a = -53 - z. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 6\/17, 0.10241?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w. Suppose -5*k - 2 = -o - 10, -2*o + 3*k - 2 = 0. Suppose 32*s = 27*s + 10. Let p(n) = -3*n**2 + 2*n**2 - 3*n**s + 3*n**o. Determine p(t(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9742 divided by -4.\nAnswer: 4871\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/(y*y*y**(-5)*y*y*y)*y**(4\/3)\/((y\/(y\/(y**(-5)*y)*y*y))\/y))**(-4\/29) assuming y is positive.\nAnswer: y**(-524\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-2) + 0\/2. Let t(y) = 5*y**2 - 26*y - 9. Let a(m) = 2*m**2 - 13*m - 4. Let i(b) = 7*a(b) - 3*t(b). What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -873*r**4\/4 - 3*r**3 + 23*r + 684. What is the third derivative of b(y) wrt y?\nAnswer: -5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30988 + -30986. What is the closest to c in -96, 0, 3, -0.08?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 59 = -q. What is the greatest common factor of 110 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 0)*714\/(-24). Let q = s + 232. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20828994 and 453?\nAnswer: 3145178094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(1216) - sqrt(1216)*-4*-3) + 4*sqrt(1216)*-6.\nAnswer: -280*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92.6 - 92.35. Which is the smallest value? (a) t (b) 4\/7 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*q - 916 + 118 = -5928 - 13824 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 22*f - 168. Let z be q(6). Which is the fourth smallest value? (a) -0.1 (b) z (c) -64 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8504305.\nAnswer: 5, 19, 89519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05688 * -2.\nAnswer: -0.11376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, 1892, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*w + 2*f = 217*w + 5, 5*f = 6*w + 31 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 390641.6 decades in centuries?\nAnswer: 39064.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-2*g + 2*g + g + (-g - 2*g + 4*g)*(0 + 1 + 1) + 24*g - 95 + 95).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 v when four letters picked without replacement from zzvzvzzvzzvzzv.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9937, -79496, -268259, -635818, -1241765, -2145692, -3407191?\nAnswer: -5085854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3088837, 3088958, 3089081, 3089206, 3089333?\n\"Answer: g**2 + 118*g + 3088718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30846 and -203.\nAnswer: 6261738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35340 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/8 (b) 1\/3 (c) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1827, 0.4, -4, -16, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 34 (b) -7 (c) -1 (d) -0.282 (e) -3 (f) -1\/9 (g) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1134 - 715. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-6)\/9)\/(-1))\/(4\/(-108)). Let m = r - -21. Suppose 5 = -3*l - 1, -m*h - l = -1. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1486, -6387, -14562, -26011, -40734, -58731, -80002?\n\"Answer: -1637*c**2 + 10*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/20*q**5 + 17\/12*q**4 + q**3 + 0 + 4*q + 5*q**2. Let b be w(10). Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -492.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 times -25?\nAnswer: -9600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 7*h**2 - 8*h**2 + 0*h**2 - 3*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/40 - -5\/8. Let v = 48 - 81. Let w = v - -34. Which is the smallest value? (a) d (b) w (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + 1. Let p = m - 14.1. Let k = -11.9999963 - p. Round k to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j = 117 + 297. Put 5, 3, j, 46 in descending order.\nAnswer: 46, j, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c*c**1*c*c)))\/c*c**(-3\/7))\/(((c*c*c**(-1\/7))\/c)\/((c\/c**(6\/7))\/c*c)))**28)**(-26\/3) assuming c is positive.\nAnswer: c**(-1352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/10 or 6?\nAnswer: 51\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.314441289 rounded to three decimal places?\nAnswer: 3.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296*s + 292*s = 5*u - 25598, 7*u = -s + 6388. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 6*r + 5*r - r + 2*r - 6*r + (r - 4*r + r)*(1 + 0 + 0) to the form f*r + v and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.138. Let z = -81.9 - -81.93828. Let y = z - u. What is y rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (15 - -6) - (6 + -4 + 1)) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) + (sqrt(637) + 0 - sqrt(637))*-2)**2) + 1 + (-2*(sqrt(13) - sqrt(468)))**2 + (sqrt(832)*4)**2.\nAnswer: 7*sqrt(13) + 13976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 5, -107, -2\/11, -108?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -1, -10.\nAnswer: -38, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 80 = -v. Suppose -3*d - 2*d + v = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/11)*k**(-9\/5))**20*(k\/(k*k**(-3\/2)))\/k**3*(k\/(k\/((k*k\/(k*k**(2\/17))*k)\/k))*k)\/(k*(k\/(k\/((k*k**(1\/4))\/k)))\/k) assuming k is positive.\nAnswer: k**(-13229\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -152689.492 to the nearest one hundred.\nAnswer: -152700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -7)\/(((-4)\/(-36))\/(-1)). Suppose -1416 = -q*s + 19*s. Calculate the remainder when s is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 94 = 20*b - 135 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/14*98\/42?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 59*r**2 + 25*r**2 - 128 + 128 + 2*r**2. Let d(g) = 2*g**2. Calculate d(x(i)).\nAnswer: 14792*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - x - 3*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 3*h = 2*s + 148, -2*h + 86 = 3*s - 24 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 15*m - 1. Let f be g(11). Let t be (258\/f - -5)*-3*1. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*s = 412 - 37. Solve -11*y + 13*y + 7 = k, s*k = -y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 15*m**2 - 15*m - 12. Let i be q(-14). Suppose -1 + 11 = 2*o. Suppose o*z - 36 = i*z. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*x**2 + 5 - 2)*(x - 3*x + 0*x).\nAnswer: -10*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3 - 12. What is the remainder when p is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 14*v - 42. Determine b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**2*v**4 + j**2 - 69*j*v**5 - 2*j*v + 3*j + 287 wrt v.\nAnswer: 72*j**2*v**2 - 1380*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4 + 4 + 8*x + 2 - x**2. Let c be l(8). What is the derivative of 0*s + 4*s - c*s - 2 wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*p + 90 = 0, 4*p = -0*d - 3*d + 52. Suppose -d = 2*j - 36. Solve 5*t - 1 = -2*u, -3*t - 2*u = -j*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 12877.\nAnswer: -80\/12877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1974, 3945, 5916, 7887, 9858, 11829?\n\"Answer: 1971*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 - s**4 + 0*s**4 + (s**2 + s**2 + 0*s**2)*(-5*s**2 + 5*s**2 - 2*s**2) - 2*s**4 + 0*s**4 - 2*s**4.\nAnswer: -13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*j + 4*h, -10*j = -5*j - h - 90. Calculate the highest common factor of 51 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*25\/(-5) + 8. Suppose -7*b = -10*b - q*n + 9, n = 0. Suppose -3*m - 11 = -71. Solve -b*p = -7*p - m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108981?\nAnswer: 3, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-270)*-15)\/((-1)\/10). Which is the third smallest value? (a) 419 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/2 + 2861*j**2 - 79897*j\/2 - 42810 = 0.\nAnswer: -1, 15, 5708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 204\/11? (a) -3 (b) -30 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 124\/66 - (-12)\/(-22). Sort 1\/13, 1, t in descending order.\nAnswer: t, 1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (3 + -7 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.664 + -0.236. Let n = a - -20.1. Do -0.2 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1 + 1 + 5 - 170*p - 8. What is the units digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8597*b - 8608*b - 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, g: 1, k: 4, y: 4}. Give prob of sequence yy.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4816 divided by 688.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12251 (base 8) to base 4.\nAnswer: -1102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/1470*(-210)\/56?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3))\/w)\/w**(-1))**(-22\/3)*w**5\/w**(-2\/19)*(w*w**(2\/3))**(7\/8) assuming w is positive.\nAnswer: w**(3227\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 0.05?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92649 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*t + 9. Let d be 1*-148*(-4)\/t. Suppose -4*h + d = -104. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/7*(-324)\/288*((-2)\/9)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -270*w - 1890. Determine s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*d**2*r**3*u**2 - 15*d**2*r*u**2 - 10*d**2 - 2433*d*r**3*u**2 wrt d.\nAnswer: -96*r**3*u**2 - 30*r*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1088.1 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 + 10 = 9*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxoxoggsuxx. Give prob of sequence oo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -205. What is the greatest common factor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 516. Let w(d) = -2*d. Give n(w(p)).\nAnswer: 8*p**2 - 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 11:22 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 7. Let o(h) = 4*h - 29. Let r(x) = 2*o(x) - 9*t(x). Let d be r(4). Let z be d\/3 + (-25)\/165. Which is the closest to 2\/9? (a) 4 (b) z (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + v - v)*(-3*v**2 - 4*v**2 + 6*v**2)*(-4*v + v + 0*v) - 322*v + 1 + 322*v - 5*v**4 to r*v**4 + i*v**2 + f + o*v**3 + l*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**3*v**3*w**2 + 387848*l**3*v*w**3 - 2*l**2*v**2 - 35196*l*v**2*w**3 - 2*v**3 + v wrt l?\nAnswer: -36*v**3*w**2 + 2327088*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/5 - 4\/35. Let m be 30\/12*12\/10. Suppose m + 9 = 4*r. Sort -9\/4, f, r, -4 in descending order.\nAnswer: r, f, -9\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -509646.\nAnswer: 509646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**4 - 6*x**3 - 10*x**2 + 6. Let t(n) = -12*n**4 + 17*n**3 + 29*n**2 - 17. Let l(z) = -17*r(z) - 6*t(z). Determine f so that l(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 112698696, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:01 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:36 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/30 - y**2. Let n be 6*(3\/6)\/1. Let h(x) = 1 + n*x - x - 1. What is h(p(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 23*v - 15. Give c(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -0.4, 0.5, 3289\/58, -3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*a = -6*a - 476, -5*r - a + 468 = 0. Suppose -3*g - 5*x + 409 = 0, x + 6 - 5 = 0. Let d = r - g. Which is smaller: d or -43?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 5782860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41276457, 82552914, 123829371, 165105828, 206382285, 247658742?\n\"Answer: 41276457*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1000 + -409. Let u = -590 + d. What is the nearest to u in -3\/5, 2\/3, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**4 + 0*q**2 + 0*q + 60 + 1\/2*q**5 - 2\/3*q**3. Factor g(l).\nAnswer: l**2*(l - 2)*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 12:02 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20864 (base 9) to base 4\nAnswer: -3120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let l be i(-3). What is the thousands digit of (0 + 13970)\/10 + l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 41*z + 4. Let o be a(0). Let k be -1 - 1*2 - 1. Let x be 8\/(-24) + (-5)\/3. Put k, o, 3, x in descending order.\nAnswer: o, 3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(sqrt(1216) - (sqrt(1216) + 1 + sqrt(1216) + sqrt(1216))) + -1) + -2)**2.\nAnswer: 1152*sqrt(19) + 394000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-10))\/(3\/(-5)). Let u = -228 + 404. Let n = -175.8 + u. Which is the third biggest value? (a) -5 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1031192*g**3 + 5*g**2 - 13101568.\nAnswer: -3093576*g**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -82?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/(-6) + (-12)\/(-18). Suppose -j - 2 = -i. Solve s = h, 3*s = -j*h + 10 + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 57, 22, -13?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 70*c - 29*c)*(0*c + 0*c + 3*c)*(0 + 1 + 0).\nAnswer: -267*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 26. Let a be j(0). Let r(u) = 2*u**3 - 28*u**2 + 17*u - 30. Let i be r(14). Calculate the highest common factor of i and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 312235*r**3 - 4870942075*r**2 - 112196900875*r.\nAnswer: -5*r*(r - 31235)**2*(r + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by 2690\nAnswer: 79\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10514*r - 11414*r + 21092*r)*(2 - 3 - 2*r**3 + r**3) to the form w*r**3 + y*r**4 + l + p*r**2 + n*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(9 - (58\/(-174))\/((-2)\/42)). Solve j = 5*m - 2*a + 11, -2*m - 23*a + 10 = -19*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 3. Let k(p) = 98 + 3332*p - 99 - 3331*p. What is -14*k(m) - 6*x(m)?\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9375744 is divided by 852319.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by -2350.\nAnswer: -77\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 2:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 3769752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*o + 14*o. What is the third derivative of 4*c - 47*c**5 + 231*c**o - 3*c - 251*c**2 wrt c?\nAnswer: -2820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 85*c - 86. What is the fourth biggest value in 4, -0.5, 10, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7415783 is divided by 69.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5, v: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195571567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 11*w + 15. Let p be j(-13). Let q be (6\/4 + -2)*p. Suppose -15*f + q = -13*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 260, 346, 432?\n\"Answer: 86*a + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 24. Let l = n + -5. Let u = 4496 + -4487. What is the lowest common multiple of u and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 35 + 31 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*r - 9 - 13, 0 = 5*r + 3*t - 54. Is 16780\/5 + (-5)\/(20\/r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/10)\/((-9)\/3). Let r be ((-22)\/(-8) + -3)\/(-1). Which is the closest to r? (a) -2\/7 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107.5 - 108. Let f = -107 + 111. Which is the second smallest value? (a) 3 (b) f (c) g (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 15\/139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16604 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 140089, 280254, 420417, 560578, 700737?\n\"Answer: -o**2 + 140168*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4197454 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*k**2*v**2 + 628*k**2*v + 2*k*v**2 wrt v.\nAnswer: 104*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46\/7 - 520\/77. Let a = -0.25 + 1.25. Sort -8, n, a, -1 in ascending order.\nAnswer: -8, -1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.94 or 1519?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18674454 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 391 + 119240*v + 509 - 119240*v + 2*v**2.\nAnswer: -2*v**2 + 900","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -521, -1040, -1553, -2060?\n\"Answer: 3*k**2 - 528*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 12*m**2 - 7*m + 37. Give r(14).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**3 - i**2 + 1. Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3597*o**2 + 2. Let a(h) = -2*h. Give a(l(g)).\nAnswer: 7194*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 642439081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 27*s - 71. Let a be u(24). Let f(w) = 14*w. Give f(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60086 (base 11) to base 9.\nAnswer: 143561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*j - 31, 50 = 4*u + 8*j - 10*j. Calculate the remainder when 621 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**7\/28 - 19*b**6\/20 - 81*b**5\/10 - 16*b**4 + 64*b**3 + b + 2759. Let l(m) = 0. Calculate m.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-21) - (27 + -24)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 - 6*f**2 + 206*f - 2*f**4 - 7450 + 7448 to b*f**3 + g*f**4 + i*f + o + v*f**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*n - 8507 + 8777 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.99 and 85932?\nAnswer: 85932.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*h**4 + 1 - 36*h**4 - h + 12*h**4 + 2*h**2 + 10*h**4 - 3*h**2 to the form j*h**3 + y*h**2 + g*h**4 + f*h + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r**4 + 6460990*r**2 + 581490625 wrt r.\nAnswer: 12*r**3 + 12921980*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 17*n**2 + 145*n + 131. Give j(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffof. Give prob of sequence ff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykykkky. What is prob of sequence kyyk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 61699.07018 to the nearest one hundred.\nAnswer: 61700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4*y + 19*i**4 - 2*i**3*y + 11497*i**3 + 4*i**2*y + 10*i**2 + 10*i*y + 16*i + y wrt i?\nAnswer: -48*i*y + 456*i - 12*y + 68982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 9*z + 10. What is k(-3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkk when four letters picked without replacement from {k: 5, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.47375 rounded to two dps?\nAnswer: 65.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7432 is divided by 7427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60044375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((17\/1)\/(-11*(-20)\/(-220)))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-240)*-5)\/(3\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 198\/(-1518)*1\/6*32\/16\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 3*i. Let g be x(3). Let m = 0 - g. Is m*((-66)\/(-9))\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 2. Suppose -19 = i + 3*p, 2*i = -p - 13 - 0. Let d = i - -2. Let v be z(d). Calculate the highest common factor of v and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3659 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 352747867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1274463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + 20 - -6)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5363 and 7501957468?\nAnswer: 5363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/45*579 + (-2)\/(-5) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -431 + -2133?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13538.\nAnswer: 2, 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 312393379 to the nearest 10000.\nAnswer: 312390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 32*d**2 - 60*d + 175. Let g be n(35). Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558359 is divided by 2892?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*g = 12. Let p(c) = 4*c**2 + c + 4. What are the prime factors of p(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 703 (base 8) to base 6\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -882.85*2\nAnswer: -1765.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5700 is divided by 1506?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 9*r**2\/2 + 195*r - 430. Suppose 1 - 40 = -y. What is the remainder when m(-5) is divided by y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**3 - 66*c - 5. Let o(w) = 18*w**3 + 131*w + 9. Calculate 5*g(r) + 3*o(r).\nAnswer: -r**3 + 63*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(1872)*-4 + 5 - (0 + (sqrt(1872) - (-1 + sqrt(1872))) - sqrt(1872))))*6)**2.\nAnswer: -20736*sqrt(13) + 608832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-259)\/(-3108)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by 13\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -39.7. What is the closest to -1\/3 in 0.5, g, -1\/10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/30)\/(6\/15). Suppose 3*b = -z*c + 63, 4*b - 3*c - 33 - 86 = 0. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*z + 76, 2*z + 2*b - 37 = b. Suppose -3*c = 3*g - 45, -2*g + 5*c - 4*c + z = 0. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -992, -3909, -8780, -15605, -24384?\nAnswer: -35117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45209 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24146701?\nAnswer: 19, 1270879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-14)\/10)*5. Let m(o) = -2*o - 2. Let r(s) be the third derivative of 0 - 1\/24*s**4 + 8*s**2 + 0*s - 1\/6*s**3. Calculate i*r(c) + 5*m(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22867 + 50440. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:59 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g\/(g\/(g**(7\/2)\/g*g)*g))))\/(g*g*g**(-14)))\/(g\/(g\/(g**(-1\/33)\/g*g*g*g*g*g*g))*g*g\/(g\/(g*g\/(g*g*g**(2\/25))*g))) assuming g is positive.\nAnswer: g**(10907\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + f + 28615, -5564 = -3*y - 5*f - 22711. Let p be (-1)\/(-4)*-2 + y\/(-8). Let t = p - -352. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 5864.1596.\nAnswer: 5864.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161875 by 35.\nAnswer: 4625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138.06 + -138. What is the second smallest value in r, 1, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 171227*h**2 + 513688*h + 342460.\nAnswer: -(h - 171230)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let h be m(2). Does 12 divide (-200)\/(-6) - h\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 + 9. Give x(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24911.6159 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188030.052 nanoseconds to weeks.\nAnswer: 0.00000000031089625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/37 (b) -32 (c) -2\/5 (d) 116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142476.1 millilitres to litres.\nAnswer: 142.4761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 9*j - 97. Suppose 0 = -5*h + j + 18. Let q = 26 - h. Which is smaller: 5\/3 or q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7168, 14385, 21594, 28795, 35988, 43173, 50350?\n\"Answer: -4*y**2 + 7229*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((65 - 43) + (-6 - -10))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10328?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4548 times -2?\nAnswer: -9096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121143\/5 + 24319. Let s = r + -90. Factor -6\/5*k**2 - s*k**3 - 2\/5 - 6\/5*k.\nAnswer: -2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3430198, -4 in descending order.\nAnswer: 7, -4, -3430198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 31.7. Sort -0.4, -0.3, t.\nAnswer: -0.4, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljaaallaaalaaa. What is prob of sequence ja?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 129470276 to the nearest one million.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5 - 10*x - 13 - 5. Let y be ((-80)\/50 - 4) + (-2)\/5. List the prime factors of l(y).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 + 10*o - 4. Give s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 1, z: 12, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-68)\/1411)\/(65*1). Let n = o - 46373\/32370. What is the common denominator of -41\/18 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 21*x = 41*x + 910 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = -18. What is the closest to 0 in 0, g, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-11) + 5288\/7271\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1625458\/(-1897))\/((-18)\/14 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 218*l**3 - 1 + 2*l - 217*l**3 - 1. Suppose -z - 6 = -4*z. What are the prime factors of y(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + w + 1. Let f(o) = 13*o**3 - 50*o**2 + 69*o + 124. Let v(j) = -f(j) + 4*g(j). Find d, given that v(d) = 0.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from fffoffflfff.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2158)\/91*(-2 - (-49835)\/24920) and 139\/6.\nAnswer: 52332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(16\/88*11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from oucuuyrcrrc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28888.67 weeks in milliseconds?\nAnswer: 17471867616000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 - f**3 + (7 - 2 - 2 + (0 + 0 + 1)*(-1 + 2 + 0))*(0*f**3 + 0*f**3 + f**3).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-12)*(131 + -113)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5752, -11504, -17254, -23002, -28748, -34492, -40234?\n\"Answer: x**2 - 5755*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 0*m**2 + m**2 + (m + 2 - 2)*(3*m - 2*m - 2*m) - 5 + 2*m**2 + 5)*(260*m + 40*m + 22*m + 35*m).\nAnswer: 2142*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 21. Let l be v(-9). Let w be l\/(-20) - (-231)\/12. Solve 9*f - 4*f = -w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-2)\/(-6)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38585769.\nAnswer: 3, 67, 191969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(2\/25)*a*a**15*a)\/(a**3)**3 assuming a is positive.\nAnswer: a**(252\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 17082?\nAnswer: 17082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(36\/5)\/w**(-2\/135))\/(w**(-1\/21)\/(w\/w**12)) assuming w is positive.\nAnswer: w**(-3532\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/4 + 309*d\/4 + 234.\nAnswer: -(d - 312)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 5. Let r(c) = 1. Let j be 2*(-3 + 2 + 0). Suppose -5*o - 4 = u, -59 = 4*u - 4*o - 19. Determine j*v(x) + u*r(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -401537 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.954 + 52. Let b = 0.254 + o. Does -3 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268572, 268569, 268566, 268563, 268560?\nAnswer: 268557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 2, 2\/7, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -5. Suppose -x + 8 = 3*h, -h + 9 = 2*h. Let r = x + 1. Which is the smallest value? (a) r (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12) - 16 - -16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316091 = -17*k + 315649 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsuiuj. What is prob of picking 1 i and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-70))\/((-107)\/15 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -338*s**2 + 1 - 581*s**2 - 1098*s**2 + (-1 - 3 + 2)*(-2*s**2 + 5*s - 5*s).\nAnswer: -2013*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021021020212 (base 3) to base 11.\nAnswer: a87368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 + 7 - (10 - -10)) + 46\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5605.86 + 5664. Let t = g + -59. What is t rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11332 - 1130?\nAnswer: -13122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrimq. Give prob of sequence mir.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141186 (base 10) to base 13.\nAnswer: 4c356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 5*t**2 + 4*t - 1. Let b = 1583 - 1586. Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63675 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + 3) - ((4 - -26) + (3 - -4))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13946433 to the nearest integer?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -206814296 and 0.19.\nAnswer: -206814295.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -0.1068, 1, 2 in ascending order.\nAnswer: -0.1068, 0.11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:08 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 14984 = -87238. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 56 + 28. Let a = v + 41. What is the greatest common divisor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(28\/3)*(-18074)\/(-46476)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-437*v**2 + 356*v - 356*v)*(-1 + 0 - 1 + (-3 + 2 - 1)*(-2 - 1 + 5)) to g + x*v + h*v**2 and give h.\nAnswer: 2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*a = 2, 3*i - 50*a + 45*a = -9. Solve 19 = -6*p + 3*p + 5*h, -i = 4*p + 5*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 5*b**2 - 2*b + 4 - 5*b. Let p(l) = 7*l**2 - 5*l + 3. Suppose -k + 35 = -6*k. Let m(f) = k*p(f) + 5*o(f). Factor m(h).\nAnswer: (h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/15 + (52\/(-3))\/4)*-877. What is a rounded to the nearest 10?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(640))\/(6*sqrt(2)*1))**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3933 and 79064390?\nAnswer: 79068323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/16)\/(21\/112). Which is the smallest value? (a) -1\/8 (b) n (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(4032) + -3)**2 - ((sqrt(441)\/(sqrt(7) - -2*sqrt(7)))**2 + (-3 + sqrt(189)\/sqrt(3))**2).\nAnswer: -126*sqrt(7) + 3962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.7585 decades in millennia?\nAnswer: 2.017585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102875 is divided by 7709.\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -141314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {f: 1, r: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + 5*r + 38. What is d(-9)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3270 = -236*f + 51*f - 33*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -83) + 7 + -4. Let v = 87 - h. Differentiate -12 + 2*x**2 - 25 + 14*x**3 - x**v - 3*x**2 with respect to x.\nAnswer: 42*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d. Suppose 534*f - 525*f + 9 = 0. Determine b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 2*i**2 + 2*i**2 - 4 + 0*i. What is the units digit of m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let a = 29.9 + -30. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 74*z + 36. Let t be w(24). Calculate the common denominator of -46\/33 and t\/16 + 764\/(-432).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - q + 2 = -6*q, -3*q = 0. Which is bigger: 3\/11 or t?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 62*s**2 - 74*s + 8267. Calculate d(61).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-126))\/((-2590)\/(-45325))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - -14 - (3 + -14 + -5 + 7)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.216, -5, -0.2, 3\/4?\nAnswer: 0.216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 + 1137. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25112 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 949 - 953. Let x be (-4)\/(-14) - 299\/91. Put v, x, -2, 3 in descending order.\nAnswer: 3, -2, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.18, -307, -2, -9?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32372?\nAnswer: 2, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-239 - -30 - -219) + (82 + 0 - -2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42196 divided by -4?\nAnswer: -10549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*r - 149 = 0, 421*y - 104 = 418*y + 4*r + 9 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176862121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(30)\/sqrt(6) + -3) + -5.\nAnswer: -6*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.333878 to one decimal place.\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 1715*r**2 + 1710*r = 0. Calculate r.\nAnswer: 0, 1, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24, -3.\nAnswer: -24, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.602 + 2.\nAnswer: 1.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 + 2*w**3 - w**2 - 7*w - 1. Let c be x(-6). What is the second derivative of 4*b**5 + b - c*b**5 - 2*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*j**3*p + 7*j**3*v**2 + 1852*j**3*v + j**3 + 2625*j*p*v**2 - j*p*v - 4*p*v**2 wrt v.\nAnswer: 14*j**3 + 5250*j*p - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + ((sqrt(125) + 1 - sqrt(125)) + 1)*-4 + -2)**2 + -1)*1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 - -269. Calculate the greatest common factor of s and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26710 is divided by 99.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - 87*n**3.\nAnswer: -87*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1333120378 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 12, j: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 147 - 9*h - 54 - 43 + h**4 - 46 in the form x*h**3 + g*h**4 + a*h**2 + u + m*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-7) - 240\/28)*14\/20\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1274*q + 47761 + 13391 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 42 = 3*f, 0 = 2*f + 2*n + 2*n + 22. Let a = 22 + f. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -499, -485, -467, -445, -419?\n\"Answer: 2*t**2 + 8*t - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-3))\/((-1)\/(-127)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.38 + 4.38. Sort h, -2, -138, 0.2.\nAnswer: -138, -2, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**10\/2520 + m**6\/120 - m**3 - 3. Let b(k) be the third derivative of x(k). Find the third derivative of b(z) wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32507057 a multiple of 1991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(8\/(-1177)) + 8\/(-16) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 7*o + 4. Let s be w(-6). Suppose -12*i + 10 = -s*i. Solve -3*x + 2*x - i*f = -9, 5*f = 2*x + 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 + h. Let t(i) = 172*i**2 - 13*i - 1. Let s(u) = -3*d(u) - t(u). What is the second derivative of s(r) wrt r?\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*t + 3*t + 1, 0 = -5*t - 5*r + 25. Let m = 2 - t. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.529 * -0.2.\nAnswer: 0.9058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.541 + -36.56. Let t = n - -0.019. Which is the third biggest value? (a) t (b) 1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - ((-7 - -4) + 11). Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250 - -238.9. Let h = -11 - q. What is the closest to 0 in -5, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) -1692\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 14. Suppose 5*f - f = 4*b - 64, -16 = -b - 3*f. Let s = b + o. Solve s - 2 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212790 divided by -615.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 6*h + 5. Suppose 2*a + 53 - 45 = 0. Give c(a).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1198*t**2 + 10*t + 3. Let c(y) = -599*y**2 - 6*y - 2. Give 7*c(j) + 4*r(j).\nAnswer: 599*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/8 + 25*m**3\/6 + m**2. Let w(h) = -5*h + 38. Let u(z) = 8*i(z) - 5*w(z). List the prime factors of u(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.91 - 20. Let a be (28\/42)\/(1\/3). Let s(j) = 3*j - 3. Let d be s(a). What is the nearest to 0.1 in l, d, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gol. Give prob of picking 1 l and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57331*u**2 - 215114.\nAnswer: -114662*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5471 divide 1311308974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2763, 3314, 3867, 4422, 4979, 5538?\n\"Answer: d**2 + 548*d + 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23320\/3960 + (-1)\/(-9) + -22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 2*j**2 - 2*j - 1. Let z be u(2). Suppose -3*v + 4*k = -6*v - z, 5 = -5*v - 4*k. Solve 5*n = -10, v*y + 5*n = 3*n - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 22*n - 9. Let a = 14 - -5. Let g be x(a). Calculate the highest common divisor of g and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1 + t + 2 + 2 + t**2 + 5. Suppose 5*l = 4*l. What is g(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m + 108 + 36 = 0. Solve -m*h - 12 = -5*z, 0 = z - 2*z + 4*h - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 79. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuueuuquuuuuuuuuuu. Give prob of sequence qqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -613a?\nAnswer: -614b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11750000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + (-61028)\/(-66990). Let w = m + 6\/145. What is p in 4\/7*p - w*p**2 + 2\/7*p**5 - 6\/7*p**3 + 0 + 2\/7*p**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/3 + 9*w**2\/2 - 6*w + 1. Let u be r(-9). Let s be (-55)\/u + (-8)\/48. Calculate the greatest common factor of s and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiif when four letters picked without replacement from {i: 6, o: 1, f: 1, q: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59765*h**4 - 24*h**3 + 6751645*h.\nAnswer: 717180*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146527038 to the nearest integer?\nAnswer: 12105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 2, p: 2, l: 3, e: 4}. Give prob of picking 1 v and 3 e.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/11 (b) 11.85 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.69 + -22.69. Sort -1\/48, -2, v, 4 in increasing order.\nAnswer: -2, -1\/48, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210034442 (base 5) to base 7.\nAnswer: 234351304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12161?\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**4 + 6448*c**3 + 3393?\nAnswer: -4*c**3 + 19344*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.2268g in nanograms?\nAnswer: 372226800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 4*g**3 - 4*g**3 + 9*g + 8*g**3 - g**3 to r + c*g**2 + k*g + w*g**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**2 + 7*f - 1. Let v(q) = 13*q**2 - 10*q + 1. Suppose 0 = -4*y + 2*m - 24, 3*m - 3 = 3. Determine y*v(x) - 7*k(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207635964*n**2 - 207635964*n**2 + 27*n**3.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-55) - 264758\/(-40). Let w = z - 6623. Find the common denominator of (-91)\/20 - (-10 - -2 - -5) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2\/3, -2, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.86 + 4.9038. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 8*b - 5542. Let p = b + 457. What is the remainder when p is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*g + 5 = 0, -15 = -5*p + 4*g + 17. Let i(z) = z**2 - 4*z - 1. Give i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - 60 - -49) + ((-4 - -4) + -2 - -9).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 227. Let z = -254.9 + 255. Which is the nearest to w? (a) z (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.5 - -1.5. Let r = m + 12. What is the closest to r in 0.3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 + 36 - 1) + 48 + -48.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336 by -4.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 6:29 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 3. Is 34 a factor of w(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13735 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*o = -326*o + 2350*o + 58995 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r - r. Suppose -i = -8*j + 3*j + 20, -3*j = i - r. Suppose 0 = -4*u + j*b + 12, b = -b - 2. Solve u*y + 4 = 0, -p = 2*p - y + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265392 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/9*15\/10. Suppose -2*p = -3*q - 12, 4*q + r = 5*p - 3*p. Factor -8*s**3 + 4*s**2 + 5*s**p - 3*s - 10*s**2.\nAnswer: -3*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8*c = -4529. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 38175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3018010 divided by -2\nAnswer: -1509005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, a: 5, f: 1, d: 3}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-2))\/((-7)\/14) - -13. Suppose -7*q = -a*q + 56. What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*w**3 - 18401*o**2 + 23*o*w**3 + 2203*o wrt o?\nAnswer: 4*w**3 - 36802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000577 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**3 - 4*o + 89*o**3 - 36*o**3.\nAnswer: 4*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -31. Suppose 0 = 7*s + 2*s - 666. Let v = -14 + s. Calculate the highest common divisor of v and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t - 0*t + c, 0 = 4*t + 5*c - 16. Let v be (7\/(-4))\/(t\/4). Suppose -v*p + 0*p = -35. Solve p*d = d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -4, 5 in ascending order.\nAnswer: -4, 5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -2*w**7\/15 + 11*w**3\/6 + 34*w**2. Find the first derivative of h(c) wrt c.\nAnswer: -112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - 3*c**2 + 0*c**2)*(-2 - 3 + 3)*(-10*c - 3*c + c) as b*c + h + v*c**2 + m*c**3 and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -92, -226, -426, -698, -1048?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-679*j + 19*j + 140*j)*(3*j**3 - 2*j**3 + 0*j**3) + 2*j**4 - 3*j**4 + 2*j**4 in the form p*j + c + v*j**2 + s*j**4 + a*j**3 and give s.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w - 54 + 54 in the form c*w + i and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/2352 + a**7\/210 + 3*a**6\/140 + a**5\/210 - 17*a**4\/168 - 3*a**3\/14 - 2*a**2 - 91. Determine z, given that w(z) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -117824, 1, 1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -31*r + 10*r - 34*r + 0 - 3 + 43*r. Let i(n) = -50*n. Determine i(g(o)).\nAnswer: 600*o + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10. Let d(m) = m - 1. What is -3*d(g) - u(g)?\nAnswer: -3*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*(-6)\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -76\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*9*308\/(-1008).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v + 183 - 183)*(3 - 2 - 2)*(-2*v**2 - 3*v - 2*v + 3*v) - v**3 + v**3 + v**3.\nAnswer: -39*v**3 - 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p**2 + p - 23*p**2 + 5*p. Let v(b) = -2*b**2 - 11*b. Let n be (159\/(-33) - -1) + (-12)\/66. Determine n*v(o) - 7*c(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and 2410679?\nAnswer: -74731049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*z + 100601, 20*z + 804787 = 36*z - 3*r. What are the prime factors of z?\nAnswer: 179, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216235635 and 2310?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 77042*t\/13 + 26114436\/13.\nAnswer: 2*(t - 38179)*(t - 342)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.13 + -2.17. Is -8\/7 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3318 + -6.08.\nAnswer: 3311.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 52*o**2 + 35*o - 135. What are the prime factors of u(-43)?\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73577 is divided by 142?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 9*p**2 - 13*p + 12. Let n be z(10). Let q = n - -10. Let f be (-15)\/(-20) + 2\/q. Which is the nearest to f? (a) -2\/9 (b) -1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s. Let q = -7 + 11. Suppose s = q*d + 13 - 201. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s**(-4\/29)*s)\/s)\/s)\/s**(-18)*(s\/((s**(34\/7)\/s)\/s))**(-8) assuming s is positive.\nAnswer: s**(6642\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, g: 2}. What is prob of sequence gguu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2982914 + 0.24.\nAnswer: 2982914.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {e: 4, b: 2, p: 1, g: 2, k: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytttpllttcytctlccc. What is prob of sequence tytl?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 29 - 14. Sort 1, y, -3 in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 14544?\nAnswer: -14541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*a - 6*a. Suppose -2*d = -a - 34. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Let i(d) = -2*d**2 - 11*d + 21. Let c be i(-20). Let o be (-2)\/(-15) + c\/(-195). Are y and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6558 - 13114 + 6556 - 12*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 420 = -4*i, -3*i + 323 = d - 0*d. Let q(r) = -3*r**2 - r. Let c be q(-4). Let n = i + c. What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/11 - 12108044*d\/11 + 18325591188242\/11 = 0.\nAnswer: 3027011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*y + 963178 + 501225 = -157997. What is y rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -52, -73?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 147 + 68 = 5*r, -4*r + 5*a + 201 = 0. Calculate the highest common divisor of 396 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 215 - 155 = 0. Suppose 0 = -61*w + s*w - 234. What is the smallest common multiple of w and 726?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4 - 1. Let q be (-6)\/m*(-5)\/(-2). Solve 2 - 4*a**q - 4 + 3*a**4 + 10*a**3 - 1 - 6*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:34 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 9. Let d be j(-4). Let t(a) = a - 1. Let p be t(d). Suppose -p*v = v. Which is greater: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Suppose -2 = -2*g + g, -2*z + 3*g + 2 = y. Suppose -15 = k - z*k. Solve -3*s + 4*i = 12, 3*i - 20 = k*s - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**3 - 4*m**2 - 15*m + 7. Let w(c) = -9*c**3 + 3*c**2 + 14*c - 6. Calculate 5*w(o) + 4*z(o).\nAnswer: -5*o**3 - o**2 + 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -144067 * -7\nAnswer: 1008469","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254 + 248 + 3138*s - 502.\nAnswer: 3138*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 269.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 13*z = 1. Let l be (3\/3)\/((-3)\/6 + z). Find r, given that -48*r + 11*r**3 - 3*r**4 - 24*r**2 + 48 + 24*r**l + r**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15132 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-four fifths of a microsecond?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/177180 and -73\/53154.\nAnswer: 531540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2278, 2538, 2798, 3058?\n\"Answer: 260*h + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**9)**(-15\/2)\/((s\/(s*s**(-38)*s))\/s**20) assuming s is positive.\nAnswer: s**(-199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h + 7. Determine m(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 656685541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 4474.127.\nAnswer: -894.8254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 10, -1\/3, 3\/7, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(475) + -3) + sqrt(475)*-2 + -4)*-4*1)**2.\nAnswer: -14080*sqrt(19) + 129344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*2\/(-48) - (-6 - 459\/(-72))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*a + 49*a + 44*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 7*o + 6. Let y(x) = -x**2 - 2*x - 1. Let b(n) = l(n) + 2*y(n). Suppose 3*d - 18 = d. Let m(t) = 7*t**2 + 7*t + 9. Determine d*b(i) - 4*m(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731374906?\nAnswer: 2, 1087, 336419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 5, 104757, 28\/11, -4?\nAnswer: 104757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3372.063km?\nAnswer: 337206300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4009135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*f**2 + 172*f**2 - 18434*f**3 - 13338*f**3.\nAnswer: -31772*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 5)*(0 + 1). Let d be z\/6 - (-12)\/(-18). Solve 0 = -x - 4*v, -x + 5*v + 9 = -d*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*d, -2*k - 1 + 0 = -d. Let m(i) = -6*i. What is the lowest common multiple of 10 and m(k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*k + 16, -4*u + 9 = k - 3. Let s = -13 - -31. Let y be (-4)\/(-6) + 204\/s. What is the greatest common factor of y and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 23. Factor 7*c**3 - 3*c**3 + 0*c**3 + 8*c**b.\nAnswer: 4*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*h. Let f = 88 - 88. Suppose h = -5*x + 5, f = 5*g - 0*g - 4*x + 14. Do g and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/35)\/f**31 assuming f is positive.\nAnswer: f**(-1087\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 15664.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3048\/5 + -608. Let u*p**3 - 2\/5*p**4 + 8\/5*p - 12\/5*p**2 - 2\/5 = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*f + 398, f + 99 = 4*m - 9. Let g = -95 - f. Solve -17 = 2*t + g*l, 0*l = -5*t - 3*l - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from pllnnlnp.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011 + 41.\nAnswer: 41.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*s**3 + 2621*s**3 + 529*s**3 - 1358*s**3.\nAnswer: 3956*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 12*d = 602. Let j = -297 - d. What is the highest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778278 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 152\/7*l + 24\/7 + 18\/7*l**5 - 114\/7*l**4 + 250\/7*l**2 - 10\/7*l**3 = 0.\nAnswer: -1, -1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 8:23 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzvz when four letters picked without replacement from vzvvzzzzvzzvvzzv.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2286, 5291, 8310, 11343, 14390, 17451, 20526?\nAnswer: 23615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 2868 (c) 13 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.323 (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 3\/2 (b) 27\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/30*-2 + (-148)\/(-296)*(-8)\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42221101 (base 5) in base 13?\nAnswer: -c3c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3120096185 + -3120096157.99999941. Let w = -27 + y. What is w rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26531770 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2825197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 108, -4 in ascending order.\nAnswer: -4, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q**3 - 10*q**2 - 5*q + 5. Let i(y) = y**2 - 1 + y**3 + y - 5*y**3 + 3*y**3. Let u(n) = -5*i(n) - x(n). What is d in u(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3923, 7775, 11569, 15311, 19007?\n\"Answer: j**3 - 35*j**2 + 3950*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/6*(-13)\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/3))\/(o*o**(-16)*o*o)*(o\/(o\/o**(-2\/13)))\/o**(-7) assuming o is positive.\nAnswer: o**(826\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0861594ml?\nAnswer: 0.0000861594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**5\/120 + 7*t**3 + t**2\/2 + 166. Let n(g) be the third derivative of s(g). Let h(j) = -8*j**2. Determine n(h(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36017 - -864257\/24. Calculate the common denominator of 53\/4 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 15 = 0. Suppose 4*t**d - 4*t**5 - t**5 + t**3 + 4*t**2 + t**2 - 5*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 305, 620, 931, 1238, 1541, 1840, 2135?\n\"Answer: -2*k**2 + 321*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 35*b**2 + 54*b - 72. Let z be y(36). Is 9\/(9\/z*1) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1865 + -3729\/2. What is q in -1\/4*q**3 + u - 5\/4*q + q**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 32*b**2 - 57*b - 38. Give o(30).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2 - 9*n - 2. Let l(y) = y**3 + 6*y**2 - 32*y - 127. Let d be l(-8). Let v(u) = u**2 - u. Calculate d*a(h) - 6*v(h).\nAnswer: 2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -c - 5*p - 2, -p - 27 = -4*c. Let q(w) = w + 47. Let t be q(-44). Solve 12 = -c*n + t*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000495882247 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((-132)\/30 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 33*q**4 - 519*q**3 - 17871*q**2 + 71367*q - 53010 = 0.\nAnswer: -19, 1, 30\/11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(6 + 7 - 4)*(2*p**2 - 4*p**2 + 0*p**2).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44205871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 3*g)*(-3 - 2 + 6) - 2*g + 4*g - 3*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/5 (c) -1.4 (d) -0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let l(j) = 14*j - 2. Let b(t) = 102*t - 15. Let f(a) = b(a) - 8*l(a). Calculate f(q) + z(q).\nAnswer: -11*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9041 is divided by 821?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, 2\/33, 0, -157\/6, -7 in decreasing order.\nAnswer: 2\/11, 2\/33, 0, -4, -7, -157\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 26, 252827, 4, 1 in increasing order.\nAnswer: 1, 2, 4, 5, 26, 252827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1653, -1650, -1647, -1644, -1641, -1638?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193797 a multiple of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 2349?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 265 in decreasing order.\nAnswer: 265, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**2 + 601*g + 2 - 1201*g + 21*g**4 - 2*g**3 + 599*g as w + y*g**2 + k*g**3 + n*g + i*g**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*w = 57*w + 274*w - 1164 + 235 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 3817 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2.1 (b) 0 (c) 1\/3 (d) 5\/8 (e) -2 (f) 1.2 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2352 = 300*w - 307*w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (144\/28)\/(2\/14). Suppose 5*q - 270 = n, -5*q = -5*n - 166 - 104. What is the highest common divisor of q and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5745 - -15165. List the prime factors of t.\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -800 bigger than -798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 20*c + 109. Suppose 2*q = 3*a - 6*a + 153, -3*q = 2*a - 217. What is the remainder when q is divided by y(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(1\/35))**(2\/31)\/(h*h*h**(-1\/2)*h*h*h\/((h**(7\/5)*h)\/h*h)*(h*h**(2\/3))\/(h\/(h\/h**(1\/3)))) assuming h is positive.\nAnswer: h**(-4475\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 48 - 1128. What is the least common multiple of d and 9?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-784)\/32)*371\/(-4929)\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from smmzvvvivvsimvuvis?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (674\/52 - 20) + 4 + 3\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -18, -61, -120, -201, -310?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**3 + p**4 + p**2 - 6 + 9*p**3 to the form y*p**4 + o*p + a*p**2 + s*p**3 + d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3851*c**2 - 1957*c**2 - 1897*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1110 divide 747030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401725 is divided by 480?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = j + 20. Suppose -14*s + 12*s = j*w - 69, 4*s - 136 = -4*w. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 169*v - 2. Let c(m) = -5131*m + 1. Determine l(c(n)).\nAnswer: 26327161*n**2 + 856877*n - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3331212 - 42?\nAnswer: 3331120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 5, i: 1}. Give prob of sequence oo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12021 (base 3) to base 13.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-6)\/99*-1*1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14145493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k. Let i(y) be the second derivative of y**3\/3 - 12*y. Determine i(m(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (190\/(-4))\/1 - (-3)\/6. Let c = r - -55. Let t = -30 + 60. What is the remainder when t is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/114*(-4)\/(-3). Find t such that -a*t**2 - 4 + 10\/3*t = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Solve -5*k**2 + 14*k + i - 2*k**2 - k**2 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1927105 and 3394900?\nAnswer: 655215700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -11*j + 9775. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 14) to base 5\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -928 divided by 232\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Suppose -3*b = b. Let j = 1 + b. Suppose 4*v + 13 - j = 0. What is m(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 2, 0, 275, 1 in ascending order.\nAnswer: -10, -2, 0, 1, 2, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.448096 microseconds to nanoseconds.\nAnswer: 3448.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (9 - (7 + (12 - (-1 - -19)))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j**3 + 2*j + 201*j**2 + 2*j**3 - 203*j**2 in the form q*j + v*j**3 + o*j**2 + l and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 9. Suppose 5*y + 27 = 2*m + 2, -m = -y - 5. Suppose 2*d - 6 = m, -2*d - 18 = 3*v - 6*v. Calculate p(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + -72. Solve 2*p = -p + t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/5 + 0 + 1\/5. Let v be (-7)\/(7\/s) + 10\/2. Find the second derivative of 15*u**4 - u**v + 85*u + u**3 - 97*u wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 54, 30, 6, -12, -18, -6, 30?\n\"Answer: f**3 - 9*f**2 + 2*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54684571?\nAnswer: 3181, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (1*sqrt(1377) + -3 - (-2*sqrt(1377) + 2)))*4)**2.\nAnswer: -2592*sqrt(17) + 198432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -752*m + 35. Suppose -3*g - 8 = -5*u, -17*g + 7 = 3*u - 21*g. Let i be x(u). What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*t - 3 + 10 = 0, 5545*t - 32 = 11092*t - 5543*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70549 - 659 = -1040*q - 624*q - 68222 for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3720, 3726, 3746, 3786, 3852, 3950?\n\"Answer: x**3 + x**2 - 4*x + 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 14 + 5 + -2 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/10 + -4\/5. What is the nearest to -0.1 in s, -1\/2, -12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 54.42, 17, -16\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.06 - 0.16. Let q = 5.6 - f. What is the second biggest value in q, 0.09, -3, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -15 - (26 + 1 + (-2 - 4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-43580)\/(-16104) + (-200)\/75 and -13\/732.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -990*b**2 + 36 + 2*b + 990*b**2 - b**3 in the form g + u*b**2 + h*b**3 + m*b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (642\/(-4))\/(45\/5) and 31\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.558 times -0.5?\nAnswer: -99.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mztmmtmztzz. What is prob of picking 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -381128*z**4 + 2815*z - 339 wrt z?\nAnswer: -4573536*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80602 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797608 divided by 28.\nAnswer: -28486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -347 * -0.3\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o - 62*o = -3*x + 20, x + 4*o - 20 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 9. What is o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l**3 - 66*l**2 - 381*l + 12. Let f(r) = -30*r**3 + 131*r**2 + 767*r - 26. Let j(u) = -6*f(u) - 13*v(u). Factor j(q).\nAnswer: -3*q*(q + 3)*(5*q - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24970.46*-0.1.\nAnswer: 2497.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from {v: 2, z: 3, l: 12}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*h + 137, -2*y + 7*y - 10 = -h. Suppose 4*c = -3*d + 23, -7*c = -3*c + 5*d - h. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.557 rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2. Let n(o) = -26*o + 11. Let d(t) = 52*t - 22. Let y(p) = 3*d(p) + 5*n(p). Let k(i) = 5*i - 2. Let r(u) = -11*k(u) + 2*y(u). Give r(m(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236628*b**3*g**3 + 2*b**3*g**2 - b**3*g - 3*b**2*g**2 - 2670*b**2 + b*g**3 - 20*b*g**2 + g**3 wrt g.\nAnswer: 1419768*b**3 + 6*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9562 and 173531859.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 4 + 4*t**2 + 107*t + 79*t - 3*t**2 - t**2 - 2*t**3 as l + m*t + c*t**3 + j*t**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2038825 times 130\nAnswer: 265047250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 3*w**2 + 1. Let t be y(3). Let l = 3401 + -3388. What is the greatest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-8) + 2\/(-8). Let a be -3*(10\/15 - -1). Let s be (-5)\/5*(a - -1). Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -715, -733, -761, -799, -847, -905?\n\"Answer: -5*o**2 - 3*o - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 29933?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c - 8*c + 17*c to h + p*c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 18. Suppose -29 - m = -5*l + n, 2*l + 3*n = 34. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-204)\/(-70) - 3)*(-2 - -3). Let h = -79\/105 - m. Let o = -7.7 + 8. Which is the nearest to h? (a) -6 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbpppppppb. What is prob of sequence pbb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 q when three letters picked without replacement from {m: 6, x: 2, q: 1, e: 3, u: 1, v: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 5*p**2 - 3*p - 4. Give t(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93)\/(-45) - (-34)\/(-51). Let o(i) be the first derivative of -1\/2*i**4 - 8\/3*i**3 + 2\/3*i**6 + i + u*i**5 - i**2 - 2. Factor o(s).\nAnswer: (s - 1)*(s + 1)**3*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16*t - 155. Suppose 0 = 5*z + 5*f - 2 + 47, -2*z - 3*f = 16. Calculate the remainder when 54 is divided by w(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*d**3*o**3 + d**3*o - 3*d**3 - d**2*o + 3312069*d*o**5 + 13*d*o - 230*d - 17*o wrt o.\nAnswer: 204*d**3*o + 66241380*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3223, -3488, -3947, -4600?\n\"Answer: -97*g**2 + 26*g - 3152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 169, 168, 165, 160?\n\"Answer: -z**2 + 4*z + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135201948 and 12876376?\nAnswer: 270403896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9425, -18939, -28449, -37955, -47457, -56955, -66449?\nAnswer: -75939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017181221 to six decimal places.\nAnswer: 0.001718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5850 divided by -390?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 - (-10242)\/8. What is the second derivative of -40*x - 7*x - u*x**2 + 1273*x**2 - 23*x**3 wrt x?\nAnswer: -138*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.743 (c) -2 (d) -2\/15 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(12) - sqrt(1728)*1) + sqrt(1452) + sqrt(1452)*2)**2.\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/13, 0, 618 in descending order.\nAnswer: 618, 5, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.107*106.3.\nAnswer: 11.3741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 169 in -2, -1.6, -13?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 8*k - 3. Let s be z(8). Let a(y) = -2*y**3 + y**2 - y + 7. What is the tens digit of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 7153740?\nAnswer: -1\/2384580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + 1\/((-6)\/(-33)). Let q = u + -7. Let d(v) = 4*v**3 - v**2 - 2*v - 1. Calculate d(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-3)\/(-9))\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6)\/(n**6\/n))**(-4\/11)\/(n*n**(1\/2)*n**(1\/3))**50 assuming n is positive.\nAnswer: n**(-989\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (105\/35)\/(2\/(-2)*-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 2\/5, -4, -2719597?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -125. Let m = -43 - j. Let b = 26 - m. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4404, -4722, -5146, -5676, -6312?\nAnswer: -7054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**0)\/(y\/(y**(-6)\/y*y))*((y*y\/y**(-1\/5))\/y)\/y**4 assuming y is positive.\nAnswer: y**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*h + 2*h. Suppose -5*c = -3*a - c + 5, 5*a - 2*c - h = 0. Calculate the highest common factor of 33 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-12))\/((-3)\/8). Solve -x*k + 3*f - 11 = 0, -5*k = -3*f + 16 - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7035 + -5501. What is the highest common factor of k and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p + 5, 4*v - 26 = 2*p. Suppose 5 + 2 = q + 4*s, -2*q = -2*s + 26. Let n be (8\/(-6))\/((-3)\/q). Put -5, v, n in increasing order.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11169059107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2)*g)\/(g*g**(-8\/3)))\/(g**3*g*g**(-2\/3)))**(12\/7))**(-2\/71) assuming g is positive.\nAnswer: g**(64\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 5*v, 2*v - 7 = 2*z + 5*v. Let h be 162 + z + (4 - 8). Let 114 + 180*p**2 - 66 + 252*p**5 - 620*p**3 + 48*p - 64 + h*p**4 = 0. What is p?\nAnswer: -2, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 minus 6884765074?\nAnswer: -6884763998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5220 (base 11) to base 5\nAnswer: -210134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41367.745 to the nearest 100.\nAnswer: 41400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 + 110*w. Let q be i(-11). What is the nearest to -5.5 in 1, 2, q, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43706*y**3 + 85152*y**3 - 43993*y**3 + 84 with respect to y.\nAnswer: -7641*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33812 is divided by 221.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*4*4. Let g = 15 + t. Let i be 37\/g + (-4)\/14. Solve -6*k + 3 = -5*k - 3*f, i*f = 4*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 1.2.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1790 and 3.9?\nAnswer: -6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + z - 5*z = -14, -99*z = 3*c - 104*z + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 7*f + 4. Give b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 9 = 26*c. Suppose c*d - 825 = 360. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**4 - 48*o**3 + 13*o - 34.\nAnswer: 12*o**2 - 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8410.264 + -5.\nAnswer: 8405.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9 - (-1994)\/(-6). Let h = q - -703. What are the prime factors of h?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 3*c - c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 41 + 1775. Suppose -4*l + w = 2*k, l - 3*l + 877 = 3*k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.71 - -54.29. Let h = 150 - x. Let q = h + -99. Which is the nearest to 1? (a) 1\/8 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19215564 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + i = -4*l - 7, -l = -3*i - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 26*u**3 - 9*u**2 - 5*u + 2610. Let r(i) = -2*i**3 + 2*i**2 + 2*i + 1. Let k(p) = -5*r(p) - x(p). Find the first derivative of k(l) wrt l.\nAnswer: -48*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 1\/8, -1.9 in decreasing order.\nAnswer: 0.3, 1\/8, -1.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369?\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2781*w**2 - 2640*w**2 + 2677*w**2 + 2 - w + 2252*w**2 as p + l*w**2 + r*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3750, -3137, -2534, -1947, -1382, -845?\n\"Answer: -q**3 + q**2 + 617*q - 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -418854808\nAnswer: -418854807.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(40\/100*25\/(-10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187012151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 44*y - 3. Let g be 7\/(-35) + (-58)\/10. Let b be a(g). Is b\/(-18) + 5\/30 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + 1*(0 + (sqrt(98) - -1*sqrt(98))*-4)*-4)**2.\nAnswer: 1344*sqrt(2) + 100361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 3:57 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 39. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8787629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 276*o**2 - 61*o**2 + 0*o + 0*o.\nAnswer: 215*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 788 by -54.\nAnswer: -394\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - 2*f - 1. Suppose 0 = 3*t + 2*t - 15. Suppose 2*m - 5 + t = 0. Let n be m + (-2)\/2 + -1. Give k(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**7\/3360 + 7*q**3\/6 - 3*q. Let z(v) be the second derivative of o(v). Suppose z(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6079344.9000044 - 6079346. Let v = 86 - 84.9. Let b = v + k. Round b to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 44*x - 2. Let k(i) = 9*i**2 - 12*i + 12. Let h(a) = 60*a**2 - 81*a + 81. Let y(p) = -4*h(p) + 27*k(p). Calculate d(y(v)).\nAnswer: 18*v**4 + 132*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32689 and 3166662?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10954813300810 - -9305960531649296633\/849486. Let j = -2\/38613 + w. Find the common denominator of j and 19\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*g + 639, -2*g - 2*f + 176 = -86. Suppose -51 = -3*l + 108. Suppose 5*y - g - l = 0. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*t = -235, -5*o + t + 235 = -t. Let l = o - 28. Let j = 19 - -57. What is the highest common factor of j and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g - 2*g**2 + 0 + 0 + 57*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41390 and 2814520.\nAnswer: 2814520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.6, -1\/5, -36, 5 in increasing order.\nAnswer: -36, -1\/5, 5, 14.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c + 2. Let h(d) = -8*d - 1. Let r(l) = 940*l - 141. Let o(q) = -2*h(q) - r(q). Give 6*o(n) - 429*z(n).\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 t when four letters picked without replacement from {t: 2, o: 4, v: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/3 - 566*o**2\/3 + 7440*o - 68904 = 0.\nAnswer: -319, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89787392 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 5*i**4\/4 - 185*i**2\/2 + 420*i - 499. Factor q(n).\nAnswer: 5*(n - 4)*(n - 3)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 263*u**2 + 13*u + 28. What is the thousands digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 - 12*u + 8. Let j be g(4). Is 1500\/(-18)*j\/(-20) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66805406.\nAnswer: 2, 19, 193, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -18*a**2 - 11333*a - 309517. Give n(-601).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(-8 - -5). Let l be (7\/m)\/(5\/20). Is l bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x)\/((x*x*x\/(x\/x**(-2\/51)*x)*x)\/x)*(x*x**(1\/33))\/x**(-6) assuming x is positive.\nAnswer: x**(-174\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 5. Let f be m(-5). Let z(s) = -s + 1. Let a be z(-2). Solve -2*h - 2*c - 5 + a = f, -4*h - 3 = 5*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17223809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/15 of a decade?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-109)\/(-1417))\/(-1 + (-8)\/(-10))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + v - 4 + 2, 5*p - 70 = -5*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 290*x + 2. Let j(p) = -p - 30704 + 15354 + 15350. Determine a(j(t)).\nAnswer: -290*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4 = 2*b. Suppose 4*p + 7 + 7 = -2*v, b*p + 3*v + 17 = 0. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/((-2 + 3)*3\/21*-7). Solve 3 = -b*j + 91 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffhfffnfnnnfftf. What is prob of picking 4 f?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12832 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 + 405. Let c = -102.2 + g. What is c rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161801.\nAnswer: 37, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1563 smaller than -1563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(1 - (-7)\/(-2)). Let x be (-1 - 9) + 13 + (1 - 2). Solve r = 3*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g. Let p(c) = 45*c**2 - 366903. Calculate u(p(q)).\nAnswer: 180*q**2 - 1467612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let h(n) = -378*n + 220*n - 316*n. Determine b(h(k)).\nAnswer: -948*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/(-48))\/((-2)\/8). Let p = -17 + 22. Solve 5*w + 0 + 5 = 0, -p*h + q*w = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 175, -17 in increasing order.\nAnswer: -17, -5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 22 = 2*i, 0 = 3*i - 6*i + 4*h + 16. Suppose u + i = 12. Find the third derivative of 854*v**2 + 3*v**3 - 3*v**3 - 826*v**2 - 33*v**u wrt v.\nAnswer: -792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117245?\nAnswer: 5, 13, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 41 - 26 = -r + 3*v + 1, 3*r + 4*v = -68 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 33. Let g be u(10). What is the second derivative of -2*f**3 - 14 - 33*f**g + 2*f - 23*f**3 + 7*f**3 wrt f?\nAnswer: -306*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 3, 2, -2368 in increasing order.\nAnswer: -2368, 2, 3, 385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46230*q + 46232*q = 3*a, 5*a - 22 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85749.26 weeks in hours?\nAnswer: 14405875.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55172.99155 + -55203. Let u = q - -30. What is u rounded to 4 decimal places?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/(1\/(-30)). Suppose -c = -6 + 3. Suppose 0 = -3*i - c*j - 37 + 178, -j = 3*i - 147. Calculate the highest common factor of u and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*q + 4*t, 42 = 4*q - t - t. Let k = 17 - q. Solve -2*r - 4 = -k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**2 + 6*m**3 - 7*m**3 - 344*m - 4*m**2 + m**2 + 347*m. Calculate f(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6818\/3 - -2271. Which is the second smallest value? (a) 1 (b) r (c) 161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w + 2. Let q be o(-2). Let t = -441 - -465. Calculate the remainder when (q\/(-8))\/(2\/124) is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55784, -55901, -56016, -56129, -56240?\n\"Answer: w**2 - 120*w - 55665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10677.13 * -3.46.\nAnswer: -36942.8698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8.24 times 3.82998\nAnswer: -31.5590352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -87*o**2 + 2. Let z be i(-2). Let r = 521 + z. Let k be (-110)\/r - 1\/(-5). What is the nearest to -0.1 in 3, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -1\/6, -3, -2, 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (363\/(-132))\/((-9)\/180*5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-4 + 1 - 1). Suppose 4*z = 8 + w. Suppose -z*h = h. Which is greater: h or -0.03?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let r be u(-4). Suppose r = 3*a - 5*p - 25, 0 = 2*p + 6 + 4. What is the second derivative of a*t - 8*t**3 - 2*t**2 + 2*t + 2*t**2 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 divided by 19060.\nAnswer: -118\/4765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 8976*g**3 - 134262*g**2 + 321776*g + 1252440 = 0 for g.\nAnswer: -2, 7, 10, 4473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 12*h - 2673 = 0. Suppose 103*k - h*k = 1080. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 g, and 1 z when four letters picked without replacement from {w: 1, s: 2, g: 1, z: 1, m: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -365.56.\nAnswer: 621.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1287, 2657, 4027, 5397?\nAnswer: 6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + s - 359, 383*i + 2*s = 385*i - 686. What is the greatest common factor of i and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 456*s - 8640 = 0. Calculate s.\nAnswer: -90, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-19))\/((-2)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4715, -4713, -4711?\nAnswer: -4709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*f**2*h**2*u + 2*f**2*h**2 + 2*f**2*h*u**2 - f*h**2*u**2 - f*h**2*u - 13*h**2*u**2 + 2*h*u**2 wrt f?\nAnswer: 134*h**2*u + 4*h**2 + 4*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-105)*-7)\/((-12)\/(-210)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2037, -4067, -6095, -8121, -10145, -12167?\nAnswer: -14187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + m = 0, -w + m - 14 = -2*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = -1. Let z(a) = 5*a**2 + a - 2. Let m be z(i). What is the units digit of (m\/(-12))\/((-3)\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -5*c**3 - 2*c**2 + 3*c + 868. Give n(2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 677210 divided by -2410.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10879 is divided by 237.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*u - 87 = 0, -5*i = -3*u + 102 - 21. Suppose 2*q + 58 = -0. Let b = i - q. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let f be q(-1). Let b be (66\/(-44))\/((-21)\/4). Put -3, b, f in descending order.\nAnswer: b, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*h + 132 + 7, -30 = h + 5*a. Let w = h + 132. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddd when four letters picked without replacement from rdrdrdrdrd?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/9 (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 894 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 20. Which is the third smallest value? (a) -5 (b) 2 (c) 0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 3 + -3 + 708 + -744\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8890\/798 + -11)*8\/(160\/(-15)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 c when four letters picked without replacement from {u: 1, z: 3, c: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-18) + 30\/(-135) + 157. Suppose 12 = -4*r + 136. What is the highest common divisor of r and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.119917 - 5328.580083. Let h = -5359.667 - u. Let n = h + 31. Round n to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + k = -7, -k + 13 = 5*l - 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-5)\/4)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16510922?\nAnswer: 2, 163, 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399167814?\nAnswer: 2, 3, 66527969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 197581 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005974057 rounded to five decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) + (-3 - (-184)\/12). Suppose 4*u = -l + t, -4*l + 10 = 5*u - 3*u. Let s(k) = -15*k + 1. Determine s(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -75?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 218 = 75. Let q(y) = 37*y + 29 - 36*y - f. Calculate q(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14272, -14215, -14156, -14095, -14032, -13967, -13900?\nAnswer: -13831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/42)\/(1\/(-28))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 118*g**2 - 65*g**2 - 58*g**2. Let n(v) = -49*v + 3*v**2 + 49*v - 2*v**2. Give h(n(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -258, -679, -1456, -2709, -4558, -7123?\nAnswer: -10524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*k + 2*l + 151, k - 2*l - 35 = 0. Is 9 a factor of (k - 3 - 0) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810966 is divided by 13743?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*i + 4, 5*i - 2*i = -5*y + 1. Let h be (10\/(-2))\/((-8)\/24). Suppose y*v + 9 = 3*b, 5*b - h = 4*v - v. Solve v = -u + 2*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10834 - -10836. Solve -8*s - 4 = 2*k - 10*s, a*k - 16 = -3*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 11 (b) -0.4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 11 + (-12 + -1 + 21 - 21).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23259 - -8702. What are the prime factors of v?\nAnswer: 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 + -3. Let a = h - -143.063. Let b = a + -0.063000078. What is b rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202631?\nAnswer: 11, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 15 - 46 + 2530*i + 16 + 22 - 2520*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -140. Let y(o) = -3*o**3 + 4*o**2 + 14*o. List the prime factors of y(a).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 8*j + 5*j)*(3*j + 0*j - 4*j - 4*j + 0*j + 2*j + (3*j - 7*j + 3*j)*(-1 + 3 - 3)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.198, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/7, 0.198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 7. Let f be o(-6). Let c = 21 - f. Suppose 0 = -0*a + 2*a - c. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {i: 3, x: 3, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161102436 divided by -26850406.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99 or -251?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 2 + 2)*(0*l + 0*l + 3*l).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 93517.1 rounded to the nearest 1000?\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 60987.2268 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*c**4*w + 12*c**4 + 15*w wrt c?\nAnswer: 212*c**3*w + 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.6, -2\/11, 20, 64, 43 in descending order.\nAnswer: 64, 43, 20, -0.1, -2\/11, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let j = 35 + -31. Solve -2*s = m*a - 16, 3*a + 8 = j*s + a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, e: 2}. What is prob of picking 2 y?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48874157961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*k - 104720, -3*k + 86456 = 5*r + 23624. List the prime factors of k.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 12*i + 2. Let x be f(13). Suppose 5*r = -0*r - x. Do r and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32\/21 - -6\/7. Suppose 4*t + 2*v = -2, 3*t + 4*v - 108 + 107 = 0. Sort -14, k, t in descending order.\nAnswer: k, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55419 is divided by 18465?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2093 + 0.0504077?\nAnswer: -0.1588923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 18717 in ascending order.\nAnswer: -7, 4, 18717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, k: 1, r: 1, f: 2, d: 3}. What is prob of sequence nrk?\nAnswer: 13\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(50) + 1 - sqrt(50))*-5 - (-4 + sqrt(22)\/(sqrt(22)\/sqrt(2)*1)))**2.\nAnswer: 52*sqrt(2) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 324 in increasing order.\nAnswer: -14, 3, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.37? (a) -1\/2 (b) -5 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 56641 = -2*t - 56623, 5*l + 66 = 4*t for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**2 - 3*k - 2. Let c(z) = z + 1. Let l(m) = -4*c(m) - t(m). Let h be l(2). Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:58 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 114152? (a) -7\/5 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*(q\/(q\/(q*q\/(q\/(q*q**(2\/5)*q)*q)*q)))\/q)\/((q\/(q\/q**2))\/q*q**(-2\/7))*(q*q\/q**(-1\/7)*q*q\/(q**3*q))**21 assuming q is positive.\nAnswer: q**(59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13410 is divided by 2220?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7999*m**3 + 7998*m**3 - 329943*m + 329943*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:18 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -50. Suppose b = 5*z, 3*c = 4*c - 4*z - 1. Solve -3*d + c - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 7453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m + 4*m. Find b such that 1 + 6*b - 9*b**m - 6*b**2 - 1 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + z**2 - 2*z**2. Let t(y) be the third derivative of 0*y**3 + 0 - 1\/12*y**4 + 0*y - 2*y**2. Give t(s(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5602 - 5602 - 9*f**2 + 11204.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -544*t**2*w - t**2 + t*w - 11*t - 14*w - 19639 wrt t.\nAnswer: -1088*t*w - 2*t + w - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 36 = 3*c. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 5, -63925 in decreasing order.\nAnswer: 5, 4\/3, -63925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 5. Let f be n(-7). Let z(a) = -147 - 2*a**f + 147. Let p(h) = 24*h. Calculate p(z(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57396*m**3*n*s**3 - 3*m**3*n*s**2 - 4*m**3*n - 4*m**2*s**2 - 18*m*n*s**2 + 2*n*s wrt s?\nAnswer: 344376*m**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 72 = -1335*s + 1333*s, 2*r = -2*s - 38 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22dd7c (base 14) in base 9?\nAnswer: 2214432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + z = 0. Suppose -m + 2*m + x - 13 = 0, z = -m - 5*x + 17. Suppose 6*s + 130200000 = m*s. What is s rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**3 + 17*v**2 + 13. Let m = -5 + 4. Let c(g) = g + 8. Let k be c(-7). Let h = k - m. Let u(r) = -2*r**3 + 4*r**2 + 3. Give h*b(d) - 9*u(d).\nAnswer: 2*d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4946\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*c + 63 = 671 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60294791 + 60294791 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -19, -4 in decreasing order.\nAnswer: 3, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1946.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-48) + ((-6)\/(-2) - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193 or 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 1 + sqrt(117) + -4)**2*-5.\nAnswer: -765 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -13874224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/256 and 25\/128.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a**3 + 2*a**2 - a. Let t be o(1). Suppose -5*l - 5*q + 24 - 4 = 0, 0 = l + 5*q. Solve 5*x + k - t = x, -k = l*x - 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0584145065 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41936*v - 140 = -41916*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -86, -155, -242, -353?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 + 1 - 2 - 5*l**4 - 3*l**4 - l**4 + 5*l**4 - 6*l**4 + l**4 + 3*l**4 + (l - 2*l + 2*l)*(l**2 - l**2 - 2*l**3) + 3*l - 3*l - l**4 + l**4 - 7*l + 7*l.\nAnswer: -4*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v + 7 - v**2 - 12*v + 19*v = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 181, 1, -1 in decreasing order.\nAnswer: 181, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(1 + (sqrt(76) + -1 - sqrt(76))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - (-20)\/3. Let x(c) = c**3 - c**2 - 6*c + 4. Let h be x(m). Suppose -86 = -3*w + 5*b + 25, 4*b = 4*w - h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -110, -8, 3, -28, -5 in ascending order.\nAnswer: -110, -28, -8, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.5 + 18.5. Let p = 1 + -1. Which is the nearest to 0.2? (a) p (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(3) + sqrt(3) + (-1 + sqrt(192) - sqrt(3))))**2.\nAnswer: -72*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Which is bigger: z or -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = 5*j + 103 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 5\/6*w**3 + 0 + 1\/3*w**4 + 3*w**2 + 0*w. Let i(l) = 7*l + 4. Determine 5*c(j) - 6*i(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387799920 + 5?\nAnswer: -387799915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109912?\nAnswer: 2, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from {z: 1, h: 2, d: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 652026.\nAnswer: 652026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 - 1222*w**3 + 244064*w**2 - 15824256*w = 0.\nAnswer: 0, 147, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 175136 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 16*w - 18.\nAnswer: 2*(w - 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 4, o: 1, y: 5}. Give prob of sequence iito.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**2 + 2*d + 1. Let y(c) = -63*c**2 + 14. What is -13*g(r) + y(r)?\nAnswer: 15*r**2 - 26*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + -14 + 3\/1. Let z = j + 24. Suppose 10*h - z*h = 6. What is the smallest common multiple of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 125078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 155, 1188, 3961, 9344, 18207, 31420?\n\"Answer: 145*u**3 + 18*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120311532 (base 7) to base 15.\nAnswer: 9c6e30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 28*j**2 - 4*j. Let p(r) = 5326*r - 1. Determine y(p(u)).\nAnswer: 794255728*u**2 - 319560*u + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 40*v + v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -15. Let g = 5.9 + a. Let i = 0.9 + -0.8. What is the nearest to g in -0.4, -1\/7, i?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*h**3 - 48*h**3 + 3271 - 3271 + 38*h**3.\nAnswer: 936*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138755 is divided by 301.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(832) + 5 - (-5*(-2 + sqrt(832)) + sqrt(832)))*-3.\nAnswer: -192*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2. Let d(n) = -425*n. Determine d(s(z)).\nAnswer: 425*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 1 + 6*(sqrt(17) - (sqrt(17) + 0)))*4 + -3*(sqrt(425) + 1) + (sqrt(425) - (sqrt(425) + -1 + sqrt(425) + 3) - sqrt(425)))**2.\nAnswer: 26*sqrt(17) + 2874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 4. Let n(r) = 2 - 9*r + 7*r - 5. Let x(h) = -3*j(h) - 4*n(h). Let k(f) be the second derivative of -29*f**4\/12 - 104*f. Calculate k(x(c)).\nAnswer: -116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1227265 and 2291?\nAnswer: 35590685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190 < 3191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*p - 3*i**3 - i**2*p - 12406*i**2 + 12*i*p + 26*i + 13*p wrt i.\nAnswer: -12*i*p - 18*i - 2*p - 24812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 108205660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2902 and 0.4?\nAnswer: 2902.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. Suppose -h*a + 28 = -3*a. Suppose -d + a = y, 5*y + 90 = 7*d - 2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 962, -2, -1, 0 in ascending order.\nAnswer: -2, -1, 0, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -251*r + 330. Calculate c(2).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 27 = -3. Suppose 0 = 4*l + l - z. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -688*c + 2367. What is the thousands digit of o(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103495 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71\/5 of a microgram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 35*o + 23. Let b be t(-17). Solve -b*d = -4*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(162) + 1)*3)**2 + (sqrt(162) + 1*sqrt(162) - sqrt(162)) + 4 + 4.\nAnswer: 657*sqrt(2) + 5876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24880 + 24883. Solve 5*g = 2*j + 15, 60*j + a*g + 12 = 57*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.87397 rounded to 2 decimal places?\nAnswer: -11.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 77733*d - 2176534. Calculate p(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1706255 - -2?\nAnswer: 1706257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 39 = 4*p - 7*p, 0 = -4*p - 5*x + 83. What is the remainder when p is divided by 3\/(4 + (-11)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 2*v + 1. Let o = 21 - 58. Let t = -38 - o. Let y be b(t). Solve -5*n - p + 18 = 5, 14 = 2*n - y*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 18*m - 30 as l + a*m and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705436.7l in millilitres?\nAnswer: 705436700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-650)\/65)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 2. What is the units digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-42)*21\/18. What is the nearest to h in -3, -0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 183, 3, -18, -5, 5 in ascending order.\nAnswer: -18, -5, -3, -1, 3, 5, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2. Let m(g) = -212*g - 2. What is y(m(u))?\nAnswer: -224720*u**2 - 4240*u - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-1) - (-1 + 1). Suppose 0*x + 18 = -2*x. Let t = 13 + x. Solve t*j - w = 6*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 550301747*a. Let k(w) = 2*w**2. Determine k(i(r)).\nAnswer: 605664025502504018*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 - 18*z**2 - 7*z - 13. Let q be g(-13). Suppose -2*l = 5*v - 20253, 2*v + 2*l - q = 6676. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(3*2\/(-3)). Let x = u + -6. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5 + 5*p - 11*p + 0*p. Let t = 15 + -9. Let a(w) = 0 + 0 + 4*w + 6 + 3*w. Calculate t*r(l) + 5*a(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlbcfoofollobfc. Give prob of sequence obo.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0 + 0*b + 0*b**3 + 5\/6*b**4 - 7\/60*b**5 + 1\/105*b**7 - 41*b**2 - 17\/60*b**6. What is the third derivative of a(n) wrt n?\nAnswer: 48*n - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12990 divided by -30.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9140, 9127, 9114, 9101, 9088?\nAnswer: 9075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -63*n + 592. Let z be s(8). Solve 12 = -z*c + 85*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + -10.71. Let i = -10.9 - h. Is i equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20221, -80888, -182003, -323566, -505577?\nAnswer: -728036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 - 2*a - 1. Suppose -4*l + 0*c - 4*c = 24, -5*l = 3*c + 20. Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:11 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 1 - y**3 - y**2 - 7*y**3 - y. Determine s(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2401*-48.\nAnswer: -115248","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 2, 2\/5, 2\/3, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 657, 1154, 1667, 2202, 2765, 3362?\nAnswer: 3999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 10*l - 88 = 0. Let s = 198 + l. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10227?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/(-9)*(-19 + 1). What is the greatest common divisor of 190 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -b - 80 - 17, -291 = -3*x - 3*b. Let p = x - 65. Calculate the greatest common factor of 320 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msdddmwmsxd. Give prob of sequence dmx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1881.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y\/y**(-2\/3))**(11\/3)\/((y**(1\/4)*y**(1\/7)*y)\/((y**(-1\/2)\/y)\/(y**(1\/8)\/y))) assuming y is positive.\nAnswer: y**(-12721\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/15 - -53\/15. Are 564 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -162026, -162027, -162028, -162029?\n\"Answer: -j - 162025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*r**3 - 2*r**4 + 3*r**4 + 37*r**2 - 301*r**3 wrt r?\nAnswer: 24*r + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:11 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253970519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*q**2 - 153685*q + 527*q**2 - 2*q**3 + 0*q**3.\nAnswer: -2*q**3 - 153685*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 + 12*k + 2. What is the units digit of d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -af9 (base 16) to base 8.\nAnswer: -5371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -173*r - 5903. Let w(j) = -115*j - 5904. Give -2*a(l) + 3*w(l).\nAnswer: l - 5906","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -34191?\nAnswer: 34193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0.5, -15709 in decreasing order.\nAnswer: 0.5, -2\/19, -15709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -4. Let l(n) be the third derivative of n**6\/120 - n**5\/15 - 5*n**4\/24 + n**3\/6 + 2*n**2. What is the units digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m)*(-60*m**4 - 108*m**4 + 60*m**4).\nAnswer: -216*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 16*q**2 - 30*q + 24. Let v be l(14). Put -5, v, 52 in decreasing order.\nAnswer: 52, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3211, -3200, -3175, -3130, -3059, -2956, -2815?\n\"Answer: s**3 + s**2 + s - 3214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t - 5*p + 10 = 0, -t + 5*p = 10. Solve t = -5*q + 11 + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2752*w + 2670*w + 226812 = 0. Solve -12*j + w = 2754 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83551\/14 - -5972. Let w = 15\/5207 - 2129873\/72898. Let q = w + 29. Find the common denominator of j and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 529\/916 + -75\/229. Factor -k*u**4 + 3\/4*u**2 + u - 1\/2*u**3 - 1.\nAnswer: -(u - 1)**2*(u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1 - 24 = 0. Suppose t*s - 26 = -2*n, -5*s + 23 = -2*n - 11. Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4370 - 495. Let n = 259619\/67 - i. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011706668 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 2. Calculate the smallest common multiple of y(2) and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292\/(146\/2)*(-7)\/10*2.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(405) - sqrt(405)*3) + 0 + -2 + 1 + sqrt(405)))**2.\nAnswer: 288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (365*g + g**5 + g**2 - 365*g)*(1 - 2 - 1).\nAnswer: -2*g**5 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 - 63. Suppose k*v + 2*v + 12 = 0. Let x be v\/(-7) - 184\/(-28). Let p(n) = n**2 - 7*n + 7. Determine p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 44, 65, 124, 239, 428, 709?\n\"Answer: 3*c**3 + c**2 - 3*c + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -b384c?\nAnswer: -b3848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 131*a**2 + 30*a - 20818. Calculate f(130).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/29 in -5479, 1, 1\/4, 8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoi when three letters picked without replacement from yiiyoeyyy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143059 by 107.\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-6)*3*184\/1380. Put d, -20, -1\/5, -5 in increasing order.\nAnswer: -20, -5, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/595*-7)\/((-3)\/195)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 56, 4\/47, 0.1, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27221 and 1630?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977125297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t + 3063 = -2*n, 3*t + 5*n - 1844 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g + 33. Let x be s(2). Find the third derivative of 27*b + 8*b**5 - 2*b**2 - b**5 + 4*b**2 + 5*b**x wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*g + 9, -2*g + 6 = -3*n. Solve n*s = -5*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -7*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.5 (c) -2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.5, 0.2, 36, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40875?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 71*n + 11751. Calculate t(-150).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 + 4*m**3 - 6*m**3 + 0*m**3 - m + 3*m as k*m**3 + l*m**2 + d + r*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856 - 844 = 6*m. Which is the closest to m? (a) -5 (b) 0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -194, -195, -196, -197, -198?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6))**19*(n*n**3)**19 assuming n is positive.\nAnswer: n**(437\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 399, 872, 1533, 2388, 3443, 4704, 6177?\nAnswer: 7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-6))\/((-12)\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111099481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/6 - 69517*p\/2 + 312840.\nAnswer: -(p - 9)*(p + 208560)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1242.31 to the nearest 10.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(1024\/(-2304))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - q + 3)*(4 - 5 + 0) + (2 - 2 + 7)*(-34 + 34 + 2*q) to l + z*q and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6624964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3\/2*u**4 + 0*u - 3*u**3 + 0 + 0*u**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + sqrt(6)\/sqrt(12) + sqrt(2))*-5.\nAnswer: -15*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 52506.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(150)*-1)\/(2*sqrt(18)\/sqrt(6)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkqh. What is prob of picking 4 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139775902.\nAnswer: 2, 7, 467, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 366 + -14?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289875 to the power of 1\/2, to the nearest integer?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/3 - 22*l**2 - 43*l + 139. Factor h(s).\nAnswer: -(s + 1)*(s + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-2379)\/117)*(-320 + 2).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 14*b - 6. Suppose s = b + 3. Suppose 5*c - 24 + s = 0. Solve c*d = -l - 4*l + 7, 3*l = 5*d - 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 25. Suppose 0 = -2*l + 18 + f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*l - 18 = -1, 3*l = r - 23. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6198 - -0.52. What is z rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/2 - 17*d**4 - 150*d**3 - 396*d**2.\nAnswer: -d**2*(d + 6)**2*(d + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*v + 94. Suppose -v*b = -605 + 133. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let r = 175 - 173. Let y = 4 + -3. Let l(a) = 14*a**2 + y - 1 - 2*a**r. What is l(q(w))?\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00753675 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/20 and 131\/1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2683*c**3 - 13*c**2 + c - 10. Suppose 32 = 5*s + 2. Let v be z(s). What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5733, 5649, 5565, 5481, 5397, 5313?\n\"Answer: -84*u + 5817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let s = -3 + u. Let k = 0.9 + -1. Which is the third biggest value? (a) s (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 - (-5 + 11) - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7275938 to the power of 1\/2, to the nearest integer?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 13. Let i(v) = -2*v**3 + v**2 - 2*v - 7. Let s(q) = q**3 - 2*q**2 + 3*q + 6. Let w(b) = z*s(b) + 2*i(b). Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 880 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 - 2*n**5 + 5*n**5 + (2 + 0 + 0)*(n**5 - 80*n**3 + 80*n**3).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/42 - 49*h**4\/24 + h**3\/3 + h**2 + 66*h. Find the second derivative of l(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.658 + -0.54. Let k = 0.201 - o. Round k to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8730 + 3909 + 22828 - 2150 + 14385)*(-3*k**2 + k - k) to v*k + b*k**2 + t and give b.\nAnswer: -90726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - ((sqrt(68)*-1 - sqrt(68))*4 - sqrt(68)))*2)\/(sqrt(36)\/((sqrt(1089) - sqrt(1089)*3) + sqrt(1089))).\nAnswer: -220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439469381.\nAnswer: 13, 33805337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a - 7. Let z(g) = -2*g - 5. Suppose 0 = l - 5*c - 3, -2*l = -c - 5 - 1. Let q be z(l). Let d(v) = -17*v + 13. Calculate q*r(w) - 6*d(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 3. Let q(x) = 8 - 5 + 1 + 2*x - 6. Let n(c) = -c**3 - 5*c**2 + 14*c + 6. Let z be n(-7). Suppose -z*j - 45 = -9. Give j*q(v) - 5*b(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -305, -106.\nAnswer: -305, -106, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -s + 3*b - 11, 5*s + 3*b = 35 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -8701906.\nAnswer: -2\/4350953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(7\/4)*f**(2\/5)\/f*f)**(-33))**(-32))**(-25\/4) assuming f is positive.\nAnswer: f**(-14190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqzq when four letters picked without replacement from zzzzzzzzqqqzqz?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 - 13*s**2 - 282877*s + 63993844 wrt s.\nAnswer: -4*s**3 - 26*s - 282877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-seven halves of a millimeter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j - 2. Let d be ((-6)\/(-4))\/(1\/(-2)). Let z(p) be the second derivative of -5\/6*p**3 + 0 - 1\/2*p**2 - 108*p. Give d*m(f) + 7*z(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -4. Suppose -3*u + m = -326. Suppose 0 = 4*q - 16, 0*q + 2*q - u = -b. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 420, 634, 850?\nAnswer: 1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 23 - 2. Suppose 14 = u - b. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 87. What is the closest to z in -0.3, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*l - 94*l - 14*l)*(0 - 4*l - 2 + l).\nAnswer: 204*l**2 + 136*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -129, -122, -113?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360067571 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -335, -335, -343, -365, -407, -475, -575?\n\"Answer: -h**3 + 2*h**2 + h - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*u**2\/3 + 1249582*u - 299900\/3.\nAnswer: 2*(u + 74975)*(25*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133001130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 15*w - 56. Suppose -33 = -w*o + 55*o. Find the first derivative of 6*n**4 + 12 + 7*n**4 + o*n**4 - 4*n**4 wrt n.\nAnswer: 168*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t)**(-5\/2)*t**(-3)\/(t*t\/(t*t**(-2\/11))) assuming t is positive.\nAnswer: t**(-919\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((32\/72*-3)\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.3, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 12. What is u(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*s - 138*s - 86*s - 53*s + 5*s**2 as g + d*s + m*s**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39009708 divided by -21636.\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let t(h) = -16*h - 3. Let j(s) = 481*s + 91. Let a(w) = -3*j(w) - 91*t(w). What is o(a(n))?\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*h**(-26))*h*h)\/h)*h)**(21\/5) assuming h is positive.\nAnswer: h**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 7497.\nAnswer: 14994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j)\/(j\/(j\/j**(-7\/2)))*(j*j**23)\/(j**9\/j))**1 assuming j is positive.\nAnswer: j**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 54 + 17*w**3 + 71*w**3)*(-7*w + 169 - 169) to the form b*w**3 + h + o*w**4 + n*w**2 + f*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -126187.146+0.2\nAnswer: -126186.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*f - 6 = 2*f, -5*f + 11 = 4*b. Solve x + x**2 - x**b - x = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64080 divided by 1\nAnswer: -64080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3821622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -404, -408, -424, -458, -516?\n\"Answer: -h**3 + 3*h - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6)*8\/24. Suppose -2*m - 26 = 4*x, 5*x + 11 - 1 = 2*m. Suppose 4*b + 4*v = -0*v + 16, -v - 2 = -b. Sort x, r, b.\nAnswer: x, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -2. Let m = -846 + 848. Let j = -2\/45 - -53\/180. Which is the nearest to m? (a) j (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 5. Let d(q) = -2*q + 4 + 0 - 2*q. Let w(i) = 4*d(i) + 3*r(i). Let a be -2 + 7\/63*9. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*j - 3505 + 3630 - 10*j to the form a + v*j and give a.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 27877770 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 o when three letters picked without replacement from {s: 2, o: 1, u: 3, b: 4, y: 2, r: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -0*r - 50325. Suppose 2*w - a + r = 12973, 2*w + a = 9626. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -4, -3, -2 in decreasing order.\nAnswer: 1, -2, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**3 - 14*t**2 - 100*t. Give o(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-4)\/(sqrt(7) + sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128*(517\/(-44))\/(-47)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h. Let p(q) = -827 + 827 - 22*q**2. Give g(p(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**46*(u**(-1)\/u)\/u*u\/u**(-2\/5)*u assuming u is positive.\nAnswer: u**(-693\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*j + 1571 - 279. Calculate the remainder when j is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-400*t - 157*t + 186*t)*(7 - 2 - 1) in the form x*t + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.2 (c) 3460 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0963907 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(16\/(-10))*(-19)\/(-4)*504\/(-630).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138204 or -137152?\nAnswer: -137152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 5*r, -4*r + 9*r = -2*m + 13. Let j = -0.4 + 0.4. Let w = 0.739 + -1.739. Which is the closest to j? (a) w (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + 1100000010000?\nAnswer: 1100001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 110*j + 2211 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + g**3 - 1 + (0*g + 13*g + 3*g)*(0 - 2 + 6 + (0 + 2 + 0)*(4 - 3 - 2) + (9 + 4 - 8)*(0 - 5 + 2))*(3*g**2 - g**2 - 4*g**2).\nAnswer: 417*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22114473457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c**3 - 10*c**2 - 31*c - 64. Let g(a) = 7*a**3 + 4*a**2 + 10*a + 18. Let b(n) = 7*g(n) + 2*y(n). Let s(z) = 3*z - 9. Let u be s(6). Give b(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**4 - 5*z**3 + z**2 + 5*z + 6. Let g(b) = -14*b**4 + 9*b**3 - b**2 - 9*b - 10. Let q(m) = -5*c(m) - 3*g(m). Factor q(n).\nAnswer: 2*n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -452, -3642, -12264, -29012, -56580, -97662, -154952?\n\"Answer: -449*q**3 - 22*q**2 + 19*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-102)\/6 + 0) - 3. Put 0.5, 3, v in decreasing order.\nAnswer: 3, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*w - 300 + 455 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -29.65.\nAnswer: 20.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 47 = q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z - 9. Let l be p(8). Suppose n + 168 = l*n. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -378, -1.3, 2, -1\/23, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/671873 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*s + 3*t, 0*s - 4*s + t = -216. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 58594*q**2 - 468728*q + 937440.\nAnswer: -(q - 117180)*(q - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1\/(-4) - 620\/(-80). Suppose -x*h + 5*h - 8*h = 0. Suppose h = -3*z + 201 + 39. What is the remainder when z is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3674400 rounded to the nearest 10000?\nAnswer: -3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*d + 4 + 21, 2*k + 9 = -d. Which is the nearest to -1? (a) d (b) 1\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*m + 164 = 0, 3*b + 0*b - m - 117 = 0. Suppose -30*s = -b*s + 1096. What are the prime factors of s?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*x = 3879*x + 50597 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 436 = -7*g. Let w = 53 + g. Let j = w - -80. What is the remainder when 70 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9. Solve -5*z + 3 + 2 = 3*s, 5*s = j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**25\/h*h*h\/h**(-3\/13) assuming h is positive.\nAnswer: h**(341\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from ggqgxgggvqvggggqgggv.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let s(g) = g**2 + 541*g + 9. Determine s(a(h)).\nAnswer: 4*h**2 + 1082*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103623516079537\/24820 - 4175000646. Let v = 5\/1241 + w. Calculate the common denominator of v and 39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -21 - 12*q**2 + 7*q - 2*q**3 + 4*q + q**3. Let o(l) = l**3 + 93*l**2 - 104*l - 953. Let d be o(-94). Let y be b(d). Solve -4*t + 1 = y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*y = -40*k + 849*y + 116, 8*y = 5*k - 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555644560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -877 + 878. Let r(y) = y**2 - 4*y + 4. Let s be r(4). Suppose -f + 13 = -3*q, 2 = -4*f + s*q + 22. Which is the nearest to f? (a) 3 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93087?\nAnswer: 3, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*n + 995 + 19*n + 24*n)*(4 - 2 - 3).\nAnswer: -2*n - 995","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-61 + 2)*(-364)\/12. Let f = o - 1766. Calculate the common denominator of (-24*9\/(-243))\/(-1 - 0) and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(105\/6)*5\/((-1215)\/63)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8f988 (base 16) to base 2\nAnswer: -10001111100110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -218 + 144 - (-3 + 1 + (0 - -7))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**4\/4 + 26*z**2. Let d(v) = v**3 + 3*v**2 + 3*v + 3. Let h be d(-2). What are the prime factors of i(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 1, z: 2, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e02 - 1?\nAnswer: -1e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*q - 12 = -0*q, 0 = 3*l + 4*q + 4. Suppose -2 = 5*k - l*h + 3, -5*k = 4*h + 5. Let b(a) = -113*a**3 + a + 1. What is the tens digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(36))\/sqrt(12) - sqrt(24)\/sqrt(2))*-3)**2*1.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -50 - 250. Suppose -5*c + 90 = -h. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805005223.\nAnswer: 11, 73182293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1954 by -44954.\nAnswer: 977\/22477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 49*o**2 - 28*o - 5. Suppose -5*t - 19 = -4*d - 5, -t + 2*d = 4. Let f(w) = -1 - 1 + 1. Let p(a) = t*j(a) + 18*f(a). What is s in p(s) = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 1 + 1)*(1 - 1 + 1)*(-65*h - 29*h + h + (-3 - 1 + 5)*(0*h + 4*h - 5*h) - 3*h + 0*h + 0*h) + 0*h - 2*h**2 + 0*h.\nAnswer: 95*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -223, -447, -671, -895?\n\"Answer: -224*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-444)\/(-14) + 2\/7. Let j be (-5)\/20*t\/6. What is the nearest to -1 in -1\/7, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 + 0*i**2 + 10*i - 8 + 9*i**2. What is the units digit of w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2094 = f, -5*p - 10470 = -5*f - 10*p. List the prime factors of f.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 3, z: 4, d: 1, t: 2}. What is prob of sequence zezz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a16526 (base 12) to base 15\nAnswer: 34bab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33 - -0.08. Let y = 0.05 + a. What is the closest to 0.1 in 1\/5, y, 2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j - 1. Let z(b) = 11*b**3 - 18*b - 278. Let o(f) = 3*c(f) + z(f). Differentiate o(m) wrt m.\nAnswer: 24*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11860839?\nAnswer: 3, 907, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t*(t**(-7)*t)\/t)**(-6\/11)\/(t\/(t\/t**(-7)*t)*t**(-3\/2)*t**(-5)\/(t\/(t**(-2\/15)\/t))) assuming t is positive.\nAnswer: t**(5669\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + g**4 + 3*g**2 + g**4 - 3*g**2 + (-3*g**3 - 2*g**3 + 7*g**3)*(3 - 3 + 2*g) - 39023*g - 306*g**4 + 39023*g.\nAnswer: -300*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -47*f**5\/10 + 4*f**3 - f**2 + 43*f + 2. Find the second derivative of r(w) wrt w.\nAnswer: -564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.01731303.\nAnswer: -0.06925212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, g: 1}. Give prob of picking 1 x and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 62*r**2 + r. Let f be t(1). Let w(p) = p**3 - 18*p**2 - 18*p + 23. Let m be w(19). Calculate the greatest common divisor of m and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 5 - 6\/3. Suppose -c*k + 63 + 7 = 0. Let b = k - -16. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1249280898 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -456188 - 220712. Round i to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -370. Let p = v + 304. Let n(l) = -l**2 + 12*l - 1. What is the remainder when p is divided by n(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 10:48 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 442038 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 7*g + 1. Let j be g\/(2 - 20\/16*2). Suppose 6*q = -j*q + 48. Solve -2*o + 0 = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/3, 19, -2, 8 in descending order.\nAnswer: 19, 8, 0.5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*q = -3, q = -y + 3*q - 7. Let o(r) = -r - 1. Let g be o(y). Suppose b = g*p + 13, b + 17 = -4*p + 46. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 6*b - x - 545 = 0, b = -4*x + 295. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -211. Let u = f - 143.069. Let h = u - -0.169. What is the biggest value in 2, -6\/5, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -58. Let o be 3\/((v\/(-8))\/5). Let k(f) = -5*f**3 - 7*f - 5. What is the tens digit of k(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29902951 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19193, -38401, -57591, -76763?\n\"Answer: 9*d**2 - 19235*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320) + (1*sqrt(4320) - sqrt(4320))*-5)\/(2*sqrt(10)*1 + sqrt(100)\/(sqrt(30)\/sqrt(3))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48164113 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20993 is divided by 1047?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6698?\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -165, 1, 5, -9 in ascending order.\nAnswer: -165, -9, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426330 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (4 - 37770\/18)\/(27\/(-81)).\nAnswer: 25132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 151762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 19, a: 1}. Give prob of picking 1 a and 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10576158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -64. What is the remainder when 56 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 38*g**2 + 422*g - 56. Let z be k(-47). Let u = -0.1 - 0.2. Sort u, -1\/8, 0.4, z in ascending order.\nAnswer: z, u, -1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57110*f**3 + 22393 + 22392 - 44785.\nAnswer: 57110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j = -8*j - 150 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4413 + 6324. 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 nearest to 1.1? (a) 0.3 (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/21)*y**(-19)*(y**0*y)**(-48) assuming y is positive.\nAnswer: y**(-1409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56476*l**3*p**5 + 7*l**3*p - 35*l*p + 81*p**5 + 27811*p**2 wrt p.\nAnswer: 3388560*l**3*p**2 + 4860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-240))\/(2\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from toimiyoe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 19*q**7\/840 + 5*q**4\/12 + 26*q**3\/3 - 11. Let x(o) be the third derivative of v(o). Differentiate x(s) with respect to s.\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 12, 4*m - 4*w - 52 = -0*w. Calculate the remainder when 27 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 20*f = 4*z + 23, -3*z = 4*f + 79 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23546, -94200, -211950, -376790, -588714, -847716, -1153790?\n\"Answer: k**3 - 23554*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 224 = -785. Calculate the remainder when b is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000599775 rounded to five decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 865627877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22912280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 30*(-2)\/(-15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 4*x**4 - 2\/3*x**6 + 0*x**5 - 79 + 0*x**3 + 0*x + 0*x**2. Factor i(o).\nAnswer: -4*o**3*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/10)\/(-4) + (-41)\/(-5). Suppose -k*t + 13 = 5. Let f(o) = -5*o**2 + o. Determine f(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3778688?\nAnswer: -3\/3778688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from lbsees.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 232.\nAnswer: -3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -93 - -2*(-15)\/20. Let w = t - -93. Sort -2\/5, 49, -2\/3, w in ascending order.\nAnswer: w, -2\/3, -2\/5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i. Let p(c) = -7*c + 3. Give -3*m(k) - p(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*-4*3\/(-10). Let f = u - -7. Is f >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 3. Suppose -3*a + 5*s = -48 - 48, -y*a = 5*s - 39. Is (-10)\/((-6)\/a*3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - b + 15 = 0, 5*b + 288 - 306 = 4*p. What is the second biggest value in 2.7, 0.1, p, 0?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.395 - 2.037\nAnswer: -1.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.079 + 6.079. Which is greater: -0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0297756 weeks?\nAnswer: 18008282880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 3*g**2 - 3*g**2)*(0 - 3 + 0) + g + 2*g**2 - g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 149*m + 19. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4410 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/125? (a) 19 (b) 0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(704))*1 - (sqrt(704) + (1 + sqrt(704))*-6))*5)**2.\nAnswer: 14400*sqrt(11) + 634500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/9 - 4*l\/3 - 5 = 0.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = 20*g + 5*g + 368 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**5 - f**2 + 1. Let n(o) = 55*o**5 - 47*o**2 + 4. Let z(q) = n(q) - 4*p(q). Find the third derivative of z(c) wrt c.\nAnswer: 3540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 4. Let o be b(-3). Is o != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4 and -50\/69.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5\/3 - 64*h**4\/3 + 116*h**3\/3 - 56*h**2\/3 = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 7?\nAnswer: 114\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b**3 - 5*b**2 - 5*b + 5. Let t(l) = -2*l**2 - 126*l + 5. Let j be t(0). Let c(f) = -8*f**3 - 2*f**2 - 2*f + 2. What is j*c(n) - 2*x(n)?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.35 + -0.65. Let o = 8 + t. Let q = 17.3 + -17. Which is the fourth biggest value? (a) 8\/3 (b) -3\/4 (c) q (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 6, -7, -36, -87, -166?\n\"Answer: -t**3 + t**2 + t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.9808490556 + 3.\nAnswer: -8.9808490556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 86, 121, 152, 179, 202?\n\"Answer: -2*l**2 + 45*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.3 - -97. Let n = u + -0.7. Which is the biggest value? (a) 18 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -22*(-11)\/(-8)*4. Let i = q + 280. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.035, 3\/5, 0.83 in increasing order.\nAnswer: -5, 0.035, 3\/5, 0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - -3.12. Let k = p + -7. Let m = -6 - -1. Which is the smallest value? (a) k (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(16080\/96)\/67?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 6398?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400 * -464447.\nAnswer: 185778800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 252, 2, 1 in decreasing order.\nAnswer: 252, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 77, 79, 83?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8717 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.1, 17492 in decreasing order.\nAnswer: 17492, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -20. Calculate the smallest common multiple of 5 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-1 - -19) + 1\/(-1). Suppose 12*d - 100 = s*d. Calculate the common denominator of (-5)\/(d*10)*-101 and 109\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2\/2 - 44*f - 3. Let j be c(14). Let d = j - -57. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-2*5*(sqrt(80) + 4*sqrt(80)) + (sqrt(80) - -2*(sqrt(80)*2 + sqrt(80)) - ((sqrt(80) - (sqrt(80)*-2 - sqrt(80))) + -4))))**2.\nAnswer: -24064*sqrt(5) + 2827772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -218, -332, -446, -560, -674?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*s - 6*s - 490. Solve s*i = -19 + 47 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -15\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*2\/(-8)*-6. Suppose 88 = -q*v - 2*v. Let r(i) = -2*i - 19. Let l be r(v). Let k(z) = z - 3. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + ((-2100)\/1274)\/((3\/63)\/((-8)\/24))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*w - 145623, -3*l + 4*w = -153246 - 65185. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1356, 3058, 5112, 7524, 10300, 13446, 16968, 20872?\n\"Answer: o**3 + 170*o**2 + 1185*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 407150 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 19*i**4\/4 + 8*i**3 + 15. What is the third derivative of b(h) wrt h?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k - 2. Let u be o(-4). Suppose u*m - 2 = 2*s - 2*m, -m = -2*s + 7. Solve -3*j + 5*h = -2, -28 = -s*j - 0*j - 4*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - k + 6 = 0, 6*k - 10*k = -3*b - 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 3*d + 5. Let z be r(5). Suppose 2*s + 2 = s. Let b be s\/2 + (-65)\/(-104). What is the smallest value in -3, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/3, 3, 1\/10001, 5, 1\/7?\nAnswer: 1\/10001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614039, 614034, 614029, 614024?\nAnswer: 614019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*c + 399421, -399493 = -25*c + 22*c + 5*i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 76\/(-14))*(-112)\/2. Suppose -2*m + k + 170 = 0, 0 = 5*m - 2*k - 0*k - 425. Let x = m - d. What is x rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073029 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12810233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-3)\/(-2))*(-6)\/(-7). Suppose i*n - 2753 + 500 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -4, -77\/30, -2, -2\/3 in increasing order.\nAnswer: -4, -77\/30, -2, -2\/3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -4. Suppose c + 3 = -r*z - 4, c + 3 = -z. What is the common denominator of (z - -3)*(-132)\/(-30) and 46\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (170776\/213470)\/((1\/12)\/(3\/(24\/(-55))))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3612.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 70. Let y(m) = -m + 6. Let d be y(9). What is the fourth smallest value in q, -0.1, 2\/19, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38233 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -47*z**3 - z**2 + 3*z + 1. Let v be o(-2). Let l = v + -260. What are the prime factors of l?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 309*a - 19 + 19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2, -2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 47. Put 39, s, 0 in descending order.\nAnswer: 39, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 11) to base 6\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21*n**2 + 9*n - 7. Is v(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111800 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8 = -7. Let z be d\/(-3 - (-7 - -3)). Let w = 0.46 - 0.06. Which is the closest to 1? (a) w (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -3. What is the third biggest value in 2, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-2) + (-3)\/6. Let x be (-2)\/9 - (-336)\/54. Solve -x + 1 = -u*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 7. Let k be j(8). Let p = k + 3. Solve -m - 2 = p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1619 - 1616. Factor 0 - 48\/7*q - 24\/7*q**2 - 3\/7*q**o.\nAnswer: -3*q*(q + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 33.8. Which is greater: c or -11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647475 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131*u + u**2 - 1869 + 932 + 2*u**2 + 937 to the form k*u + g + n*u**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 3*u - 11*u = -29. What is the closest to -1\/28 in 1\/16, -3, u?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124137 and 1053?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -154*f + 183*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -404 - -403.6. Sort p, -0.03, 0.2 in decreasing order.\nAnswer: 0.2, -0.03, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 + 1 = 0, -2*a + 13 = -y. Suppose -3*b - 52 = -i, i - a*i = 5*b + 68. Let w = -7 - b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000605951 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45499 = 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 - 4*v - 2. Let m be f(-3). Suppose m*o = 6*o + 24. Suppose o*x = 8*x - 96. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5965.\nAnswer: -1\/5965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i - 286. Let j(l) = -7*l + 143. Give 5*j(o) + 2*q(o).\nAnswer: o + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1440 = 3*i. Suppose -5*f + 307 = -i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 0)*12\/(-4). Suppose -w + a = 9. Is w not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 9*w**2 - 38*w - 26. Suppose -20765*g + 20780*g + 127 = -53. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8324)\/(-197695))\/(18\/19).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1414 + -1?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 372408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2)\/(-10) + (-16)\/80. Suppose -5*a - 31 + 2920 = -2*j, 2*a + 4*j - 1146 = b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 26*d - 1. Let q(p) be the second derivative of -p**3\/3 - 3*p**2\/2 - p. Let j be q(-2). Let z be f(j). Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5214 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15, -30, -61, -114, -195, -310, -465, -666?\n\"Answer: -m**3 - 2*m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 3*w + 23, 4*w = 20. Suppose 0*r - k*r + 14 = 0. Let t(q) = 3 - 2*q + 3*q - 4. Let p(n) = -n**2 - 3*n + 3. Give r*t(v) + 2*p(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + 4 + (0 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x**(-2))**(-1\/43)*x**(1\/2)*x*x**(-6)*(x**(1\/3)\/x)**(1\/41) assuming x is positive.\nAnswer: x**(-48757\/10578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50424857.\nAnswer: 7, 61, 269, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 14. Let u(m) = 7*m**3 - 5*m**2 - 5*m - 5. Let r(y) = -3*y**3 + 2*y**2 + 2*y + 2. Let j(w) = -2*w**2 + 3*w - 2. Let l be j(2). Give d*r(n) + l*u(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and -844.\nAnswer: -139260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 16, 490 = -4*o - 4*y - 218. Let c = 281 + o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 35*f**2 - 207*f - 45. What is the thousands digit of x(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -4. Let u be (6 + 4)*s\/4. Let i = u - 11. What is the second biggest value in 0, 2\/17, i?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4433 + 23*d**2 + 4433 + 4*d + 20*d**2)*(2 + 11*d + 10*d - 24*d) to r + a*d**3 + p*d**2 + g*d and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + ((sqrt(273)\/sqrt(7))\/sqrt(3) - (0 + sqrt(13))*5)**2.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - z - z - 51, 3*z = 4*n - 45. Let h = -5 + 7. Suppose -3*d + 2*p = -78, 5*d + 0*d - h*p = 130. What is the remainder when d is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598 divided by -13\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1+-276\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 - -107. Let c be o\/5 - 3*-1. Let m(a) = -4*a + 15. Let v(w) = -3 + 2*w + 0*w - 5. What is c*m(q) - 11*v(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2309055 divided by -5?\nAnswer: 461811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(160) - (2*sqrt(160) - sqrt(160) - sqrt(160))) + sqrt(160))*-3)\/(5*(sqrt(16)\/sqrt(2) + sqrt(8) - sqrt(8))))**2.\nAnswer: 5184\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**3 + 10*q**2 - 17*q - 73. Let o(k) = -5*k**3 + 3*k**2 - 6*k - 26. Let m(y) = -3*n(y) + 8*o(y). What is m(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17232 + 24081 = -790*x + 10100 - 29617 for x.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, -1\/29, -47, -3, -5?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/(-182)*(-35)\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and -153692.61.\nAnswer: -9375249.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, c: 1, o: 2}. What is prob of sequence ooc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576*-1.29.\nAnswer: -743.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987074 is divided by 329024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.61106 minutes in nanoseconds?\nAnswer: 5436663600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*h**2)*(179 - 17*h - 161 + 18*h) in the form q*h**2 + f*h**3 + v + c*h and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7169730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-341)\/(-198)*-2 - (40\/18 + -2).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 5*g - 7*g)*(3*g - 5*g + 4*g - 3) in the form k + a*g**2 + d*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) 2 (c) -2\/7 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 202 = -11*u. What is the remainder when 122 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8219 (b) 1\/6 (c) 60 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 39*j**2 - 320*j + 82. Let n be p(-12). Solve -3*a + 2*s = -2*s - n, -16 = 4*s for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 1\/8 (c) -0.4 (d) 6 (e) -1\/530\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 242*r**3 - 2*r + 1. Let o be k(1). Let l = o + 51. What are the prime factors of l?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1177206 divided by -6.\nAnswer: 196201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 54. Let n = h + 32.57. What is n rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((150\/(-9))\/5 - -2). Let v be 11 + 5 - (1 + (-2 - k)). Suppose -9*t + v*t - 176 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - z = 1018, 0 = 3*l - z - 3*z - 1527. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 21. Let n(z) = 6*z - 6. Let i be n(a). Suppose 0 = -3*x + i + 21. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 4:36 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-4) - (-63)\/4 is divided by (-4)\/6*(-81)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11414\/(-9080) + 1)\/((-7)\/(-238)). Let l = -9\/227 - i. Calculate the common denominator of l and -57\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001791 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 3*b = 24*g + 6, 0 = -4*g + 3*b + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -28*s + 362. Let j(g) = 9*g. Give 3*j(p) + z(p).\nAnswer: -p + 362","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109794479 * 4.\nAnswer: -439177916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28984827*f + 18748622?\nAnswer: -28984827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 71932.2813?\nAnswer: -71932.3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 12*k**2 + 3*k - 18. Let h be m(12). Suppose -13*u + h*u = 2035. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3 + 148*i**2 + 289*i - 438 = 0.\nAnswer: -146, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 7. Let t be h(0). List the prime factors of 7*t\/(147\/(-72)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-1036)\/14)\/(-444)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31893 is divided by 163.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 110226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = -0*n. Let h(m) = m**2 - 8*m + 7. Give h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 5*j**2 + 3*j. Let a = -47 + 50. What is the least common multiple of a and u(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/3 + 4055191*o**2 + 2466683268336*o - 10360093571548\/3.\nAnswer: (o + 1216558)**2*(5*o - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1392 and 26268.\nAnswer: 3047088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = 0, -13*m = -4*q - 12*m - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 + 31*t**2 + 147*t - 46. Calculate f(-4).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254438922?\nAnswer: 2, 3, 239, 177433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22365070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k, -2*g + 3*k - 20 = 7*k. Suppose -4*a + 10 = a. Sort a, 4, g in decreasing order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1680 and 945.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 812075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) -13 (c) 3\/7 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 9:13 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 124 = -8*b - 83, -230*z + 229*z = -4*b + 31 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 + 13*w + 2. Let c(o) = -2*o**2 - 7*o - 1. What is -7*c(y) - 4*k(y)?\nAnswer: -2*y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 14*n**2 - 27*n - 343. Give r(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -18 (b) -2 (c) 0.29 (d) 2.1 (e) 0.4 (f) -132 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3684 and -2?\nAnswer: 3686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, y: 2, t: 5, h: 4, l: 2}. Give prob of picking 2 l, 1 y, and 1 h.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 729917 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27083758 divided by -194\nAnswer: 139607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 - 4*i. Let l(v) = v**3 - v**2 - v - 1. Let d(m) = -2*l(m) + u(m). Let y(c) = -c**3 - 2*c**2 - 2*c + 3. Give 3*d(r) - 2*y(r).\nAnswer: -r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 15 = -5*g, -4*g - 117 = -584*c + 589*c. What is the nearest to 6 in c, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6134, -12250, -18366?\n\"Answer: -6116*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474 is divided by 98.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48678 or 2\/7?\nAnswer: 48678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307 > 10306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + -3 + 10 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976 + 400 = -10*t + 186 for t.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1851 - 2*f - 7237 + 1977 + 1834 + 1854.\nAnswer: -2*f + 279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*4)\/(sqrt(539) + sqrt(539) + sqrt(539)*-1 + sqrt(539)).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -18*q - 3. Let l(r) = r + 1. Let n(b) = -k(b) - 2*l(b). Let f(a) = 3*a. Calculate 11*f(w) - 2*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*1\/(-28))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 - -663.99999451. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17759287529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k)*(1 - 2*k - 1)*(3 - 5 - 1).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16937\/2394 - 106\/133. Calculate the common denominator of (-554)\/84 - 1\/3 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.28 - 0.2. Let p = 0.32 + s. Let v = -506 - -506. Which is the nearest to v? (a) -5 (b) p (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(26)\/sqrt(2) + -1)*4.\nAnswer: -16 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 6*n**2 + 3 - 1)*(-3*n**2 - 5 + 5).\nAnswer: 12*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 38829168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 47*x - 90. Let w be f(2). Solve -3*o = -4*m + 2, w*o - 2 = 2*m - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110760)\/370)\/(-13) + -5 + -18?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26121 - -26125. Solve -2*m = -0*d - t*d + 16, d + 5 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/12)*(59\/18)\/59.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3547, 3577, 3605, 3631, 3655?\n\"Answer: -t**2 + 33*t + 3515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*a - 37, a = -2*m + 10 + 3. Solve -2*v = m*d, 0 = 2*d - 0*d - 2*v - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11977752*a - 3*a**2 + 11977752*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10613119419 minus 0.14?\nAnswer: 10613119418.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 6, 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-13)\/a))**(-2\/181) assuming a is positive.\nAnswer: a**(-30\/181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 - -2792.1?\nAnswer: 2792.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-19 - ((10 - -2) + -12)) + (-1 - -57).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 482 - -90. Suppose f*z - 23644 = 568*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*g + 14, 0 = 3*r - g + 35 - 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*b - 805 - 1310, -4*b - 1724 = -4*r. Let d = -408 + r. Solve 0 = 2*l - 4*f - 18, 4*f = 3*l - 0*f - d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78585, 157145, 235677, 314187, 392681, 471165, 549645?\nAnswer: 628127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 77046.09t?\nAnswer: 77046090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2593, -2587, -2561, -2503, -2401, -2243, -2017?\n\"Answer: 2*n**3 - 2*n**2 - 2*n - 2591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 38 = -27 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/24 + 5\/(40\/(-2318)). Which is smaller: -290 or w?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*x + 244*x - 7 + 262*x + 249*x + 208*x.\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6000*((-6)\/(-11) + 43157\/33). What is l rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 205 = -3*p + 245, p = 3*k - 1350. Is k a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05919 - -37739392\nAnswer: 37739392.05919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -6, -1, 23, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**2*t**3*v*y - 111*k**2*v**2 - 2*k*t**3*v*y - k*t*v**2*y - 2*k*v**2*y - 18*k*v - 2*t**3*y wrt k.\nAnswer: 6*t**3*v*y - 222*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4\/115320669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 48 = -w + 5*g, -4*w - 2*g = -12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24836 is divided by 837?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02 and -0.8991.\nAnswer: -0.9191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*a - 207 + 207)*(-3*a**2 + 2*a**2 + 3*a**2 + 7).\nAnswer: 102*a**3 + 357*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 divided by 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -219 - 227 + 673 - 436*i**2 - 230 + 1524*i**2 as g*i + d + b*i**2 and give b.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 - m**2 + m + 1. Suppose -4*x - 3 = -t - 14, 4*x - 15 = -3*t. Let d be u(t). Sort -3, -1, d in ascending order.\nAnswer: -3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + 1110011001100011?\nAnswer: 1110011001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2263110280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/2124)\/((2 + 21\/(-9))*1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1211*c - 2 + 1303*c + 3)*(-4*c - c + c).\nAnswer: -368*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36960)\/(-9856))\/(-20*4\/(-896))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/11 + 202080580*p\/11 - 5104570101642050\/11 = 0.\nAnswer: 50520145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 967 + -401. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -56. Suppose 13*a - i*a = -768. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6788 + -0.0748. Let p = d + -0.60400216. Round p to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + 1 + sqrt(112) + sqrt(49)\/(sqrt(448)*-3))**2.\nAnswer: -215*sqrt(7)\/12 + 324151\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 8329525?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1337 divide 108297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let w(h) = 38*h**2 + 2*h - 1. Let z(u) = -2*m(u) - w(u). Let q(v) = -v**2 - 1. Let j(d) = 3*q(d) + z(d). Let s(y) = y. Calculate j(s(r)).\nAnswer: -41*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 - 3*b - 5. What is the tens digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8256528 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31120 + -133203010?\nAnswer: -133300130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 15224.\nAnswer: 3\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and 332.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 160*t**3 - t**2 + 38*t + 39. Give c(-1).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6055, 6057, 6061, 6067, 6075?\n\"Answer: l**2 - l + 6055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -593472747*z**2 + 133020238*z - 5?\nAnswer: -1186945494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419755 is divided by 958?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + x + 129975. Let d be s(0). Suppose -537933 - d = -36*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230586381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*w - 5. Suppose -8 = -x - w*x. Suppose -4*l + 31 = z + l, -x*z - 2*l = -38. Calculate the remainder when 31 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4724.52 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 26*m. Let c(n) be the third derivative of -11*n**5\/20 - n**4\/12 - 1573*n**2 + 2*n. Give c(f(q)).\nAnswer: -22308*q**2 - 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.024 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414*y**2 + 46*y + 239*y**2 + 211*y**2 wrt y?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77 + 67*u - 77)*(4*u - 3*u + u - 4*u + u + 2*u + (0 - 1 + 3)*(u + 0*u - 2*u) + 3*u - 2*u - 5*u) to l*u**2 + o + b*u and give l.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 8 + 23*n - 28*n)*(44 + 55 - 40).\nAnswer: 177*n - 472","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581381668?\nAnswer: 2, 7, 131, 22643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 2*s + 0*s. Let m(c) = 3 - 2343*c**2 + 2346*c**2 - 10 + 7. What is m(o(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 4*h**2 + 4*h - 6. Let c be w(2). What is the highest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14786310 by -38406.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/(-224) - (-4)\/(-14). Let v = 0 + 0.2. Which is the closest to z? (a) 4 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = a - 1599999, -5*a + 2*a = 5*z - 3999997. Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.434 + -0.07.\nAnswer: -6.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + h**4 - 5*h**2 + 1 + 2*h**2.\nAnswer: (h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2617530 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86863 - 0.865. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeceeeeeceee. What is prob of picking 1 e and 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -294 (b) 5\/2 (c) 2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k - 2. Let p be z(0). Let b be p - ((2 - 2) + (-14870)\/(-5)). Is 1*(b\/(-3) - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-198)*-1661 - 10\/3\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -45, -84, -133, -192?\n\"Answer: -5*w**2 - 14*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45833573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) + 0 - 176\/(-55)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a00bb (base 12) to base 9\nAnswer: -345568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.4, 2, -2, -31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (54\/60*20\/(-30))\/((-2)\/(-40))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1922348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13301157 + 13301157 + 652*v**2.\nAnswer: 652*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*m + m - 8649647, -m = -5*p + 14416081. Suppose 2316784 = -5*u - p. What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.13 and 4.455477.\nAnswer: 4.325477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/8*1*-2. Suppose -6 = n - 4*c, n + 3 = -2*c + d. Suppose r - n*g - 59 = 0, -r + 3*g + 116 = r. Calculate the remainder when r is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 685, 684, 683, 682, 681?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 3, p: 9, m: 1, y: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/83 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 2:39 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -396682591.8 to the nearest 1000000.\nAnswer: -397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -7143134 in decreasing order.\nAnswer: 4, -3, -7143134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + b, 2*d + 2 = -b + 1. Let h be -3*(-2)\/6 + -56. Let v = -30 - h. Solve v = -d*m + 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 223165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 19. Let w be (-1980001)\/(-6) + (-6)\/y. What is w rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g + 3. Let j(u) = -u**2 + 7*u - 3. Let b(t) = -5*a(t) - 4*j(t). Suppose 9 - 87 = -13*d. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1361 and -1361 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 15*p - 9. Suppose p*s - 1137 - 1896 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 43 = -8*n + 5*n, -27*n - 26 = -29*n - 2*h for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (10 + 4 + -8)) + -9 + -2 + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6 and -43\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87300 divided by 194.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 3)*(3*m - 3*m - m)*(4 + 8 + 6).\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 + 87*h**2 - 11859 + 11612.\nAnswer: 117*h**2 - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*f - 4, -43 = -3*m + 2*f - 42 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 - 2*q**2 + 2. Let w(n) = -29*n**3 + 9*n**2 - 9. Let k(f) = -f**3 + 4*f**2 - 5*f + 4. Let l be k(3). Give l*w(j) - 9*d(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43695*l**2*w**3 - 197*w**3 - 4*w - 7 wrt l?\nAnswer: -87390*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*v = -3*v - 28, -4*s = 4*v + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6822214 or -6822215?\nAnswer: -6822214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035 - -13457\/13. Factor 0 + 2\/13*a**5 + 0*a - u*a**2 + 2\/13*a**4 - 2\/13*a**3.\nAnswer: 2*a**2*(a - 1)*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Let f(k) = 0*k**2 + k**2 + 8*k**2. Give f(z(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 30.74582 weeks?\nAnswer: 5165.29776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oibtblij. Give prob of picking 1 o and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 932\/417 or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75524849 is divided by 3101.\nAnswer: 3095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100011001101001100011001 - 10?\nAnswer: 110100011001101001100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 0.0743.\nAnswer: 4.0743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 100 + -15056?\nAnswer: -14656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2511 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 539.\nAnswer: 538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54.0033 - -54. Round r to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from unnpuhuzu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and 5.27.\nAnswer: -384.71","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931) - sqrt(931))*-4.\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.07, 54, -2\/7, 30?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (32683\/(-145))\/(-49) + 468\/(-5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (270 - 108 + d + d)*(12*d**3 - 11 + 11) in the form s*d + v*d**3 + u*d**4 + a + p*d**2 and give v.\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*g - 42*g + 45 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 + -13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-297) + 175\/630.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13732, -27463, -41194?\nAnswer: -54925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((3\/2)\/(270\/180)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*x**2 - 8209*k**3*x + k**3 + 16*k**2*x**2 - 2*k**2*x - 3617*x**2 wrt k?\nAnswer: -6*x**2 - 49254*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/18 and -52\/2140839.\nAnswer: 4281678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178707 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-216)*-3 - (-75968)\/1152. Let j = 3 - 0. Calculate the highest common divisor of j and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30087 - -721939\/24. What is the common denominator of f and -31\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*f**2 - 62*f - 1 wrt f.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -664*z**3 - 5292*z**2 + 169*z + 57. Give y(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 6:36 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -89.144155 from -244414.\nAnswer: -244324.855845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*u - 19*u = -292 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4124 - 3572. What is the least common multiple of 621 and k?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-56)*-3*(-2)\/(-9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600150?\nAnswer: 2, 3, 5, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955901?\nAnswer: 3, 17, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o**3 + 25*o**2 - 22*o - 3. What is k(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 127*o - 105226. Calculate k(267).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/5 - 3199*y - 512864\/5 = 0.\nAnswer: -32, 16027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 9) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/15 + l**5\/60 - l**4\/12 + l**3\/6 + l**2. Let o be 8\/28 + (-20)\/(-28). Give u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3853\/4, -3\/5, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 - 16*v**2 - 5*v - 4. Let w(f) = 7*f**3 - 19*f**2 - 6*f - 5. Let n(j) = -6*d(j) + 5*w(j). Give n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/4*(-1776)\/(-555). Let q(t) be the first derivative of 1\/4*t**r + 4 + 0*t + 0*t**2 - 2\/3*t**3. Factor q(o).\nAnswer: o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 + 2224*h**2\/9 + 454454*h\/9 + 21431228\/9.\nAnswer: -2*(h - 1294)*(h + 91)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:39 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.473691 from -1.\nAnswer: -2.473691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.091\nAnswer: 0.0455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*-2)\/3 + 135. Let k = z + -915\/7. Let o = 0.2 - 0.2. Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13334 and 121186?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/67)*a**(2\/13)*a\/(a\/(a\/a**(-17\/4)))*a**(-2\/111)\/a)**(2\/7) assuming a is positive.\nAnswer: a**(1707649\/1353534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-38)\/(-57)*(-1 - (-34)\/4). Is 523\/j + 6*5\/75 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676730296?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 1341, 2017, 2691, 3363, 4033, 4701?\nAnswer: 5367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 22*q + q - 25 to the form j + u*q and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 10 = 4*v. Let w(m) = -m**2 - 14*m + 154. What is the remainder when v is divided by w(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 6*u + 4. Let h be d(6). Suppose l = -2*x + x, 0 = h*x + 8. Does 4 divide 1 + (l - 4) + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134.059 + -134. Let u = j - 0.459. Let h be (1\/22)\/(2\/8). Which is the nearest to -0.2? (a) u (b) -5\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r + 5. Let i be z(-9). Let c = i - 12. Solve -c*b - 6 = 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -11, -61.8572?\nAnswer: -61.8572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 11:13 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 3*w + 3\/2*w**2 + 132 + 10\/3*w**3. Determine m(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10260000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11379927 to the nearest integer?\nAnswer: 3373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(-2\/135)*f**(-6\/5)\/(f\/(f\/(f**(-1)\/f))) assuming f is positive.\nAnswer: f**(112\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w*w**(2\/9))**48)**32 assuming w is positive.\nAnswer: w**(5632\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-8))\/(1*1\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1873, 0, 0.07, -12\/13 in ascending order.\nAnswer: -12\/13, 0, 0.07, 1873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) - sqrt(504)\/sqrt(8))\/sqrt(7))\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yfyhyygyfyyyfy.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 9:03 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 4*z + 3. Let j be g(2). Let p be (-2)\/4*(1 + -21). Suppose -j*d - 8 - 4 = 0, -p = 2*r + 5*d. Sort -1, r, 3.\nAnswer: -1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 18*a - 13. Calculate g(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vya when three letters picked without replacement from {a: 1, z: 7, y: 1, v: 2, l: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35367 + 1?\nAnswer: 35368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.94967 rounded to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 432.345445 to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -0.5, -1.34, -0.4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -34?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10 - 72*n - 1 + 199*n. Is t(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 76. Let j = 19 + u. Let c(o) = -9*o. Let s(x) = 19*x. Suppose 3*b = 4*b + 6. Give b*s(y) + j*c(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -1.0406?\nAnswer: 12.9594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) 0.8 (c) 2618\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l + 379*l**5 + 8986 - 8954 - l wrt l.\nAnswer: 7580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 9*d - 4. Let r be t(-10). Let f be ((-8)\/12)\/(4\/r). What is the remainder when (2*f)\/(1\/(-20)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83091, 166189, 249291, 332397, 415507, 498621?\nAnswer: 581739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 596 by -4.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (422\/(-130) - (-2)\/(-13))*-5. Let y = 2 - -1. Suppose -13 = -y*o + v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1351 + 4375. Let p = -1732 + b. What is the third derivative of 11*q**5 + 34*q**2 + 1292*q - p*q wrt q?\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. Suppose 10 = -q + 5*x, 3*q + 2 = 5*x - 4*x. Solve q = t*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*j - 2383 + 0 = 172 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 483008832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1\/19))\/z*z**6)\/(z*z**9*z**2) assuming z is positive.\nAnswer: z**(-94\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*9105\/(-607)*(-6)\/10*-9\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1 - (-4 + 2). Let w be 4 - (0 + 2 + y). Suppose w*q + 4 = 6*q + f, -5*q = -5*f - 5. Is -1\/4 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949 divided by -5.\nAnswer: -949\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(80*g + 15*g + 2*g)*(0 - 2*g + 0)*(2 + g - 2)*(2*g + g - 6*g) to p + o*g**4 + k*g**3 + h*g**2 + j*g and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377899 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -20. Let q be (10 + 26\/i)*(0 - -3). Which is the closest to 41? (a) -4 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4289892796 to the power of 1\/2, to the nearest integer?\nAnswer: 65497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/30 + 5*m**4\/24 - m**3\/2 - 76*m**2. Give f(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2) - (-4)\/(-8)) + -3. Let q be (-192)\/((-6)\/(-3))*v. Let i = 226 - q. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 35 = -5*i, 0 = u - 0*i - i - 53. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 403*x**2 + x. Suppose 0 = 4*r + r - 5. Let b be m(r). Calculate the common denominator of 61\/2 and b\/24*(-2)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8326*f - 1851 wrt f?\nAnswer: -8326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Calculate the least common multiple of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102d (base 14) to base 4\nAnswer: 223201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-113)\/3729) - 81\/7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/18*(-1)\/1. Find the third derivative of 46*n**t + 81359 - 114*n**2 - 81359 wrt n.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -7\/60*b**5 + 0 + 0*b - 1\/168*b**8 + 1\/3*b**3 - 31*b**2 + 1\/24*b**4 + 1\/42*b**7 + 1\/120*b**6. Find x such that h(x) = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1203507559*j + 2*j**2 + 1203507559*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.1 + -7.171. Let u = -0.971 - x. Sort -0.3, 4, u in descending order.\nAnswer: 4, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1050) + sqrt(1050) + sqrt(1050) + sqrt(1050)*-2*1 + sqrt(1050) - 4*(sqrt(1050)*2 - sqrt(1050)))\/((sqrt(48)*-2)\/sqrt(8) + sqrt(96)*5).\nAnswer: -5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1032 (base 6) to base 13.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 11. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-55) + 48\/22. Let c be (2 + 6\/m)\/1. Let h(f) = 2*f + 5. Suppose -7 = 2*n - 1. Let l(q) = q + 3. Calculate c*l(k) + n*h(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*((-5 + 2*sqrt(684))**2 + sqrt(684) + (sqrt(684) + sqrt(684)*-1)*-6 + 4)*5.\nAnswer: -110600 + 4560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 4*z - 105. Let n be (-4)\/(-10) - z\/(-25). Factor 2\/7*q**4 + 0*q**2 + 2\/7*q**n + 0*q + 0 - 4\/7*q**5.\nAnswer: -2*q**3*(q - 1)*(2*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 11*r. Let m(h) = -4234*h**2 + 2114*h**2 + 2130*h**2. Calculate v(m(k)).\nAnswer: -100*k**4 - 110*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/108)\/(102\/272*(-123)\/(-6)).\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 35*a + 36. Let d = 269 - 303. Let s be z(d). Solve 2*r + 4 = -2*m, 3*r = s*m + 4*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 10 = 3*m, 0*m + m = -p. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 5. Let i be x(-8). Solve -v + 0*v = -i for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-12) + (-4)\/6. Calculate the remainder when -2 + q + 3 + 8 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314588?\nAnswer: 2, 31, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -6a?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18818*o**4 - 1358*o**3 + 1720*o + 3338*o**2 + 18980*o**4 + 200 - 190*o**3.\nAnswer: 2*(o - 5)**2*(9*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 13*b. Let i = 264 + -290. Let g(w) = w**2 - 3*w. What is i*g(a) + 6*z(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155244 is divided by 120?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 5*2*sqrt(5)) + sqrt(5) + 5.\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24000006 = 3*i + 3*d, -18000002 = 3*i + d. Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7)*((b*b**(-3\/8))\/b*b)\/b*b**(-6)\/(b**(2\/5)\/b))**(1\/2) assuming b is positive.\nAnswer: b**(89\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/5)*u\/u**11)\/(u*u**(-2\/7))**(-12) assuming u is positive.\nAnswer: u**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59995 (base 10) to base 4.\nAnswer: 32221123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/35)\/((-156)\/(-1092)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2046*932\nAnswer: 1906872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s + 3. Let h be g(-2). Let p = 14 + h. Let t(r) = 2*r**2 + 8*r + 1. Is t(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 15007.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2153163385 - 1.9.\nAnswer: -1.6846836615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12060 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 4, -103, 2, 1 in decreasing order.\nAnswer: 9, 4, 2, 1, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 64*h - 283. Is l(38) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95*b**3*f + 2*b**3 - 55*b**2 - 26790*b*f + 20*b - 6 wrt f?\nAnswer: -95*b**3 - 26790*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 13080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(-1 + sqrt(1008))**2*-3*4.\nAnswer: -4320*sqrt(7) + 181620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 25 = 1. Let o be (-25)\/w + (-6)\/36. Suppose 2*n = 2*z - 6, 0 = z + o*z + 5*n - 35. Solve -2*p = -5*y + 1, 0*p + z*p - 2*y + 13 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(-2 + v + 2) + 0 + 0 - v - 4*v + 51*v + 6*v)*(-3*v + 3 - 3)*(9 - 5 - 14).\nAnswer: 1530*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 27*h + 3*h - 9*h - 1 - 19. Let s(m) = 7*m - 7. What is 17*s(o) - 6*y(o)?\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34301592 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/72547 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 133\/105 + 3. Let j(c) be the third derivative of 0 - 1\/600*c**6 + 1\/50*c**5 + 0*c + i*c**3 - 1\/10*c**4 + c**2. Determine s, given that j(s) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, o: 1, b: 1, l: 2}. Give prob of sequence iilo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 3*f. Let q be s(-3). Let r = 2 + q. Let t = 8 - r. Solve 0*i = 5*i - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(140\/(-75)) - 1\/2. Let b be j\/(-3)*-2*(-3)\/4. Solve 25 = 2*o + 5*q, -b*o + 13 = -2*q - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.047829 - 22.034829. Let y = t - -22. Let v = -1.117 - y. What is v rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-50)\/2)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77593859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3) + 1 - (sqrt(9)\/(1*sqrt(3)) - sqrt(3))**2) + sqrt(48) + -2 + 5.\nAnswer: 4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) + (-18)\/(-54). Solve -v + k - 6 + 2 = x, 0 = -3*v - 3*k - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125044.\nAnswer: 2, 43, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7606562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*n + 54. What is the second smallest value in 3, -2\/13, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 107*x - 134. Let n be k(16). Solve 0 = -18*l + 48 + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Suppose -46 = -5*o - 3*a, 9*o - a - 58 = 4*o. Let v = o - 7. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhggadonhaggaa. What is prob of picking 2 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 20588032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116729 or -116728?\nAnswer: -116729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.7 + -1011?\nAnswer: -863.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 11*q**5\/60 - q**2 - 429*q. Let v(p) = -2*p**2 + 27. Give v(j(l)).\nAnswer: -242*l**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 245705405 to the power of 1\/2, to the nearest integer?\nAnswer: 15675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879612 + 31452 = -8928*u for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -40*z - 25. Calculate u(3).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*v**2 + 13*v**2 + v**3 + (4*v - 5*v - v)*(-4*v**2 - 5*v**2 - 8*v**2) - 331*v**3 + 31*v**3 + 112*v**3.\nAnswer: -153*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -286d?\nAnswer: -2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + 564\/18. Let a = t + -13. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 22*v - 1320. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122221 + -10020?\nAnswer: 101112201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5246, 5242, 5236, 5228, 5218, 5206, 5192?\nAnswer: 5176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2004*a - 1968*a + 7986*a - 2012*a + 4*a**2 - 2001*a.\nAnswer: 4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.389 - 12.289. Suppose 5*r + 4 = r. What is the nearest to 3 in -0.5, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 0*d**2 - 17*d**3 + 0*d**2 + 19*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**(-11\/5))\/m*m))**42)**(-1\/3))**(21\/4) assuming m is positive.\nAnswer: m**(-1617\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(136)\/(sqrt(32) + sqrt(8)) + (sqrt(153)\/(sqrt(45)\/sqrt(5)))**2 + -4).\nAnswer: -78 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591 = -10*p + 1209. Is 40 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10228\/2389 or 3?\nAnswer: 10228\/2389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 31 - 87 = 0. Let b = i + -28. Factor -1\/3*k**4 + 0 + b*k + 0*k**2 - 1\/3*k**3.\nAnswer: -k**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-52))\/((-1082)\/323518).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 84245 to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, 1 w, and 1 e when four letters picked without replacement from eehkcewweehwehhew.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10059107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let l(g) = -g**3 + 6*g**2 + 8*g + 8. Let v be l(7). Let n = 23 - v. What is the least common multiple of n and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from yyyvb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -113*c + 20. Let y(o) be the first derivative of c*o**4 + 6*o**3 + 24 + 0*o**5 + 0*o + 0*o**2 + 5\/3*o**6. Find the third derivative of y(f) wrt f.\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c + 3 + c + 2. Let n(y) = y**2 + 2*y - 5. Let v be n(-4). Let l(m) = -2*m**2 + 4*m. Let k be l(v). Give w(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16987 - -16992. Let s(x) = 2322*x**2. Let d(t) = 108*t**2. What is a*s(h) - 108*d(h)?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (90\/(-16))\/5 + 1. Let q = 1\/4 + n. Let p = -19.89 + 20. Which is the biggest value? (a) p (b) q (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203110 (base 4) to base 13.\nAnswer: -104b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(68)*1 + -3*2*sqrt(68)))\/(1*(sqrt(144) + -2*sqrt(144)*3)).\nAnswer: 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65713.964 - -65871. Let u = 157 - p. Round u to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/76 and 65\/208889416.\nAnswer: 3968898904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -81148385 to the nearest one hundred thousand.\nAnswer: -81100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1024590 and 1904.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 + 135. Let z(m) = -5*m**2 + 4*m. Let d(g) = 14*g**2 - 13*g. What is o*z(j) - 4*d(j)?\nAnswer: -j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.88 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 71910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let p(n) = n. Let o(m) = 17*p(m) - 6*q(m). Let g(d) = 3*d - d - d. Calculate 5*g(c) + o(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 0 + 108\/(-30). Sort u, -2, 1\/20 in descending order.\nAnswer: u, 1\/20, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513017897 a multiple of 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2308002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*m**2*y**3 - m**2*y**2 - m**2*y + y wrt y.\nAnswer: 996*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120*w**2 + 110*w**3 - 13*w**5 - 40*w**4 - 28*w**5 + 46*w**5 + 45*w.\nAnswer: 5*w*(w - 3)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 176*j + 932. What is the thousands digit of t(81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79422, -79374, -79328, -79284, -79242?\nAnswer: -79202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -12210222?\nAnswer: -12210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362 or -458463\/1264?\nAnswer: -458463\/1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*c + w, 4*c + 12*w = 16*w - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) -2\/9 (c) 17050 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let f be (-4)\/(-8) - 2\/g. Suppose f = 4*u - 13 - 43. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -5. Let n = 9 - v. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*((d**(-1\/5)*d*d*d)\/d)\/d*d)*d*d**(1\/6)*d\/d**4*d**(3\/5))**3 assuming d is positive.\nAnswer: d**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/4 (b) 1 (c) 0.9513 (d) 0.057\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14 = -4*f - 7, 0 = 2*f - 2*b + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157634 (base 9) to base 8.\nAnswer: -276302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 92*o - 567. Determine n(52).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693*i - 207210*i - 417096*i.\nAnswer: -623613*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(24\/30)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsibyubysybibub. Give prob of picking 1 y and 2 u.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - d**2 + d + 20*d + 0*d**2 in the form w + t*d**2 + c*d and give c.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -6286\/14037?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 - -13) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + ((-2145)\/280)\/(-13) and 71\/20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 + 2*m - 1. Let g be n(4). Let s = 13 - g. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 - 246 = -7*o. Calculate the remainder when o is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -15. What is the closest to -1 in 3, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from ppowfffawfswssw.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*r - 4 = 32, 5*w = -3*r - 62. Does 36 divide (150 + -6)\/((-4)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316 and 2?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2 + 3 - 2)*(-2 - 68*x + 56*x + 1).\nAnswer: 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiuuuuiiiiuu. Give prob of picking 2 i and 1 u.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12708 and -0.066.\nAnswer: -12708.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/2 + -11. Which is the closest to f? (a) -0.5 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h*(h\/h**28*h)\/h)\/h*h)\/(h*h**(-8\/5))*h**(9\/7)*h*h**(2\/19) assuming h is positive.\nAnswer: h**(-13971\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2698, -2724, -2748, -2770, -2790, -2808?\nAnswer: -2824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5083 divided by -1.\nAnswer: -5083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.32. Let x = -109\/168 + -1\/56. Which is the fourth biggest value? (a) -3 (b) -5 (c) u (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**3 - 5555300*h**2 + 1928415387072*h + 291317403614976 = 0?\nAnswer: -151, 694488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 1 - (6 - 0 - (-57 + 59))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012911 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*t + 6, -4*k + 123 - 103 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/132 + (-2)\/(-8))\/((-2)\/(-4)). Is k at least as big as 18\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*g**2 + 16*g**2 - 6 + 12*g - 2*g**3 + 5 as h*g**3 + t + b*g**2 + n*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182319945.\nAnswer: 3, 5, 359, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 763708 divided by -97?\nAnswer: -763708\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128.1 - 128. Which is the third smallest value? (a) 0.4 (b) 0.2 (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.97. Let p = g + 0.03000041. What is p rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2047600 - 6551028 = -30*g - 2361958. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 12*z - 14. Let a be d(12). Let t = -16 - a. What are the prime factors of (0 + -2)\/t - -44?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 1, e: 2}. Give prob of sequence ie.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 6.144.\nAnswer: 7.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.97 - 0.03. Let v = g - -18. What is the nearest to -0.1 in 2, v, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4*w + 9*k**4 + 23934*k**3*w**3 - 2*k**2 + 976833*w**3 wrt k.\nAnswer: 72*k*w + 216*k + 143604*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/4 - 8*u**3\/3 - 7*u**2\/2 - 11*u - 3. What is y(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2652 - 2108 = 758*h - 1202*h + 584*h for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*k = 20, -2643*k - 15 = -2640*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0997 (b) -1 (c) -0.07 (d) -4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 12*w**3 - 158*w**2\/3 + 28*w + 93.\nAnswer: -(w - 31)*(w - 3)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/9 - (-3)\/(-9). Suppose 0 = -3*s - 10 - 2, -28 = -4*a + 4*s. What is the third biggest value in -0.2, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-21) + 9\/(-21). Let z be (9*3\/3)\/u. Suppose -6*x - z + 15 = 0. Solve 3*q - x - 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 45 = -0. Suppose -j*l = -23*l + 5120. Is l a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 256*m**2 + 34*m - 158. List the prime factors of q(4).\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 10 - (8 - 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -546.6 from -49939.\nAnswer: -49392.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 4197*b - 345614. What is v(78)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3467*d**2 + 4. Let w(g) = 8*g**2 + 1. Calculate l(y) - 4*w(y).\nAnswer: -3499*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 24*o + 156. What is the smallest common multiple of m(-6) and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 13 = 6*j. Suppose 5*c = -j*q + 9, -2*c + 7 = -q + 6*q. Suppose 5*w - 5 = 5*f, -3*f = 4*w - 35 + 10. Put q, 7, w in descending order.\nAnswer: 7, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/8013890 and 41\/22?\nAnswer: 88152790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 0*v**3 + 0*v**3 - 2*v**3 + 0*v**2 + 0*v**2 + (2*v**2 - 2*v**2 - 2*v**2)*(4*v - 2*v + 0*v) - 2*v**3 - 13*v**3 - 2*v**3.\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 4, o: 2}. What is prob of sequence hhhn?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5267*t**3*z**3 + 15*t**3 + 3*t + z**3 - 2*z - 44433 with respect to t.\nAnswer: -15801*t**2*z**3 + 45*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + 18*p - 19. Suppose -4*w = -h - 9, w + 4*h + 18 = -w. What is s(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 140*t**2 + 1187*t + 440. Give v(-148).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 11*u + 8. Let q be r(0). Which is the closest to 1.4? (a) 2\/17 (b) q (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4267 + 8535\/2. Let p(s) be the second derivative of -1\/3*s**3 - 5*s + x*s**2 + 1\/12*s**4 + 0. Find a, given that p(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/5 of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335921 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 530 = 154. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q - 9. Let a be (-1680)\/(-252)*9\/12. Let x(v) = v - 1. Calculate a*x(n) - d(n).\nAnswer: -6*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 56*j**2 - 617 - 594 + 1211. Let n(b) = -3*b. Calculate n(u(z)).\nAnswer: -168*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 + 1 = 0. Suppose 38*s - 248 = 778. Calculate the least common multiple of b and s.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(3 - 4)*1. Calculate the remainder when 48\/4 - (k + -2) is divided by (-276)\/(-66) + 4\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -9 + 31. Let t(n) be the second derivative of 0 + 1\/6*n**3 + 1\/2*n**2 - 2*n. Let u(z) = z**2 + 5*z + 5. Determine v*u(s) + 10*t(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) + 1*sqrt(4752) + -5*(sqrt(33)*-3 + sqrt(33)))\/((3*2*sqrt(275) + sqrt(275))*-4) + 2.\nAnswer: -17*sqrt(3)\/70 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/15)*q*q*q**12*q*(q**(-1)*q)**(2\/29))**(4\/9) assuming q is positive.\nAnswer: q**(964\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = h + 3 - 5, p - h + 2 = 0. Let t = p - -2. What are the prime factors of (14\/35)\/(t\/200)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 769104 and 8393?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-2*c - 2*c + 2*c) - 14*c - 24*c + 40*c + (-3 + 1 + 4)*(2*c - 7*c + 3*c) in the form m*c + v and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608 and 504792.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, -4, -1, 1, -28 in decreasing order.\nAnswer: 1, -1, -2, -4, -28, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3 + 2\/3*x**4 + 4\/3*x**3 - 4\/3*x + 0*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 15 = x + 2*x, 10*m - 3*m = 4*x - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29106 and 41580?\nAnswer: 291060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 11, -16924?\nAnswer: -16924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12212 (base 3) to base 7\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 + 242*o\/3 + 2752.\nAnswer: -(o - 516)*(o + 32)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -362497*t**2 + 7*t + 2. Let k(i) = -724993*i**2 + 15*i + 3. Let m(n) = 2*k(n) - 5*z(n). Let g be m(-4). Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.383 * -0.4.\nAnswer: -1.3532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8800.3888046 + -0.2.\nAnswer: -8800.5888046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*w - 4, -5*w = -3*u + 40 - 56 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 7 = 4*y, 13*y - 18*y = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 3107 = -11*c. Let l = 252 + c. Calculate the remainder when 96 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 93873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74687 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17412*v. Let x(c) = 19*c. What is q(x(t))?\nAnswer: 330828*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + (-18)\/(-27). Let u(o) = 4143*o. Let j be u(f). Let h = j - -157. What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.796 to 1 decimal place.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -44. Let h = 19 + v. Suppose -16*z + 4 - 4*z**4 + 0 - 1 - h*z**2 - 16*z**3 - 7 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -18?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/54)\/((-120)\/(-80))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + -1 + (-3 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -248 + 269. What is the smallest common multiple of 60 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30128, 30127, 30126?\n\"Answer: -f + 30129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(24) - (sqrt(24) + (2*sqrt(72))\/sqrt(3)))\/(-1*sqrt(72)) + -2).\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 84280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*r + 8 = 0, p - 15 + 4 = -4*r. Suppose t = p*t + 4. Let i be (3 - 5)\/(t\/3). Solve 0*l - i*l = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82862.24l to millilitres.\nAnswer: 82862240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 66.88785 years?\nAnswer: 802.6542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 39. What is k(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*v - 12112, 7*n + 16142 = 4*v + 4*n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/((-2)\/20). Suppose 4 = 2*z - 2*q, -4*z + z - 2*q + 16 = 0. Suppose 9*j - v = z*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 709 + -206. Let y = 507 - f. Solve 0 = y*c - 5*q + 12, c = 2*c - q + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*z + 4*z - 42 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 272041*f + 1632242\/3.\nAnswer: (f + 2)*(f + 816121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156474?\nAnswer: 2, 3, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.050466 and -4.\nAnswer: -3.949534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/13)\/(((m\/(m*m*m**(-1\/19)))\/m)\/m))**(4\/5) assuming m is positive.\nAnswer: m**(2836\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -30, 1\/3, 2\/5, -4, -466?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvpmmmmvwmwvwwwmmw. Give prob of picking 1 w, 2 m, and 1 p.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -405*z**3 - z**2 + 5*z + 10. Let s(i) = -203*i**3 + 2*i + 4. Determine 2*k(c) - 5*s(c).\nAnswer: 205*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*d = -405*d + 199*d + 72747. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.19 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*(-19)\/(-4))\/((-30)\/(-100)). Let z = h - -24. Let t = z + -119. Put t, -4, 5, -2 in decreasing order.\nAnswer: 5, t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2) + 15\/(-5) + 7. Sort p, -22, -4, -5.\nAnswer: -22, -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.0325?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.24 + -40.394261054.\nAnswer: -38.154261054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-12)*11\/(231\/12). Let u(t) = t**2 - 17*t + 29. Let x be u(15). Is v at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 8. Let d be p(8). Let i = d - -2. Suppose -i - 2 = 2*a + 4*j, -2*a - 1 = j. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d00d8 (base 14) to base 11\nAnswer: -3113a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**3 + 30 - 159*u - 14*u**2 + 182*u - 3*u**3. Calculate the remainder when 51 is divided by w(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.9327 years in centuries?\nAnswer: 4.439327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c = -i - 5, -3 = 3*c. Is -2\/75 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26972 is divided by 709?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/2, 1, -68\/217, 0.5, 5 in increasing order.\nAnswer: -68\/217, 0.5, 1, 5, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2aa7 + bb8?\nAnswer: -1aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233626 is divided by 77874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnxoonttrxxxnxxo. What is prob of picking 1 o and 1 n?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))*-3 - sqrt(243) - (sqrt(243)*-1*-6)**2.\nAnswer: -8745 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/7)\/c)\/c)**(-1\/2)*(c*c**3*c*c*c)\/c**(-5))**(36\/7) assuming c is positive.\nAnswer: c**(3240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 4 = 0. What is the units digit of (d - 1)\/((-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14*u**3 + 27*u**2 - 79*u + 4. Give x(3).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -348372 divided by 87093\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s + 1. Let z be i(1). What is the third derivative of -7*t**5 + 4*t**5 + z*t**2 - 3*t**2 - 3*t**5 wrt t?\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1385*t - 775*t - 855*t to g*t + d and give g.\nAnswer: -3015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 - 67*z + 12. Calculate a(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16378742.\nAnswer: 2, 1931, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -8, 3*m - 698 = 4*u. Find the common denominator of -1 - (-39)\/(-10) - -1 and u\/56 + (-38)\/133.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(15) - sqrt(75)\/sqrt(5)))\/(sqrt(243)*-3 - sqrt(243)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 - 9*f**2 - 47*f - 117. Let x(n) = -n**3 - 2*n**2 - 23. Calculate -p(w) + 5*x(w).\nAnswer: -2*w**3 - w**2 + 47*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4 - r - 2*r + 78*r**2 - 76*r**2. Let f(j) = 4*j**2 - 7*j - 9. Calculate -2*f(x) + 5*y(x).\nAnswer: 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -775.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 707159573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -154287, 0.1, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 66*l - 968. Determine b(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789850 not equal to -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13083311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-225)\/135 - (-7)\/(-3). Sort b, 966, 2, -1.\nAnswer: b, -1, 2, 966","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -30. Suppose t - 113 = 5*z, -c*t + 5*z + 202 = 3*z. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = h - 3*g, -3*g = -15. Suppose -5*c - 10 = -h*c. Solve -c*r = -3*s - 2*s + 14, 3*r = -s + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/3395 and 67\/2210355.\nAnswer: 214404435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 9. Let m(d) be the first derivative of 3*d**2 - 27*d + 2753. Give 2*m(i) + 7*n(i).\nAnswer: -2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*r = -12 - 2, -5 = z + r. Let w = 6 + z. Suppose w*a + 6 = 58. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*x + 20, -35 = -2*j - 8*x + 3*x. Suppose -w = -5*i + 18, 5*w - 22 = -j*i + 8. Solve m + 2 = w*b - 0, -m + 1 = -b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*(-29 + (-2976)\/(-62))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 110*q + 39. Let k be x(1). Suppose -5*n - 5*a + k + 401 = 0, -2*n + a = -235. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 31 + f**2 - f**2 - 9*f - 8. Let k be h(-11). Let y be (k - (-55)\/(-10))*-4. Solve c - 6*c = -3*t + y, -8 = -5*t + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7 + 4)\/3)\/(1\/3). Suppose 7*g - 5 = 2*g. Let m(l) = 3*l + g + 3 + 0. Determine m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238689 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (43 + -23)) + -45.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 336977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 63 + 623. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-3)\/(-2). Let y = 6 - d. Find the first derivative of -3*p - p + y*p + 2 wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 69 - (3 + -5 + 6).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -367 and 1573.\nAnswer: -577291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 7 - 11. Let r be 3 - 2 - (o + 2). Let u(l) = -2*l**3 - l**r - 5 + 4. Give u(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.2, -3.\nAnswer: -3, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**2 + 12676*r + 841488.\nAnswer: -4*(r - 1119)*(3*r + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.217 + 3.843. Let q = f + -0.06. Let s = 891 + -2674\/3. What is the closest to 1 in q, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1844706, 3689412, 5534118, 7378824?\n\"Answer: 1844706*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20827?\nAnswer: 59, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 227 = -2. Suppose -r = -14*u + 65. Solve -5 = -v + 3*f + 4, 3*f = 5*v - u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2 - (2 + -1)). Suppose -2*i + i + 4*g - 12 = f, -4*g = -5*i - 12. Suppose i = 2*n + 5*t - 16 - 7, -5*t + 5 = 0. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7104 divided by -592.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-4) - 7)*391\/(-17) is divided by 70.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*p**2 - 7*b*p + 114*b + p**2 + 9862*p + 32 wrt b.\nAnswer: 3*p**2 - 7*p + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1396*s + 4149. Calculate o(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -17694.\nAnswer: -88470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*o - 4, 0*b - 5*b - 42 = -3*o. Put b, -2, 3, 4 in descending order.\nAnswer: 4, 3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*d + 17, 2*d - 9 = i - 2*i. Solve -5*w + 0 = 2*r - 11, 0 = d*w + 4*r - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 606*b + 20 - 304*b - 307*b. Let i be y(3). Suppose -3*t = 2*t + 2*v, -2*t + 4*v - 24 = 0. Put t, i, -4 in ascending order.\nAnswer: -4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -2\/9, 297700, -2\/5?\nAnswer: 297700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454077 is divided by 1280.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-8) - (-16 - -19).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (5 + (-3 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43.93246 nanograms?\nAnswer: 0.04393246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*g - 1743 - 1370 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 24.68772 nanograms?\nAnswer: 0.02468772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, l: 8, c: 5}. What is prob of sequence ddd?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4426 and -4.5796777321.\nAnswer: -4430.5796777321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 15, 51, 123, 243?\n\"Answer: 2*l**3 - 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2292342*a**2 + 1440629 wrt a.\nAnswer: -4584684*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 12:53 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Suppose 2*y = 4*c - 10, 0*c - 5*c + 3*y + 13 = v. Let l be c\/8 - (-15)\/(-28). What is the third biggest value in -5, -4, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-0.0885.\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51485281 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5209883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-356)\/120 - -3)\/(3\/(-12)). What is the second biggest value in -5\/4, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404111407 a multiple of 3600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4135, -4110, -4075, -4030, -3975?\n\"Answer: 5*m**2 + 10*m - 4150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -853, -1726, -2571, -3388, -4177, -4938, -5671?\n\"Answer: 14*f**2 - 915*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0\/(-1)) + 3. Suppose 12 = 2*n - u. Let w = 374 - 360. Solve -w = 4*v + 2*l, -n*l - 15 = -2*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - ((23 - 0) + (59 - 51) + -15).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 5. Let i be t(-4). Suppose 46 = i*a + 2*f, -a + 5*f + 23 = 3*a. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(91)*-2)\/(sqrt(7) + sqrt(56)\/sqrt(2) - sqrt(7)) + 0.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -17107511046212.\nAnswer: -17107511046211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283207681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 3. Suppose 3*r = -o + 23, -o + w + 4 = 0. Calculate the highest common factor of r and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 + 255250?\nAnswer: 255255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2471471*i**3 - 30*i - 537164 wrt i.\nAnswer: -14828826*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1048*j**4*q**2 + 13*j**3*q**2 - 4909*j*q**2 + 8*j wrt j?\nAnswer: 12576*j**2*q**2 + 78*j*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8251.525 rounded to the nearest 10?\nAnswer: -8250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347*1075.\nAnswer: -373025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 20, -5, -4 in decreasing order.\nAnswer: 20, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 5, i: 7}. What is prob of sequence fof?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1339387.305 - -1339385.905000002. Let v = -1.4 - z. Round v to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3267967 or 3268007?\nAnswer: 3267967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:08 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)\/(6 + -5). Let p be 10\/4*8\/(-4). Let k(a) = -a**2 - 6*a + 4. Let r(g) = -g + 1. Give p*r(l) + x*k(l).\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.3 + 13.3. Let m = 62 + t. Let k = 2.8 - 3. What is the third smallest value in k, -0.9, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000114875085 rounded to six dps?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1531*m**3*n**2 + 1160*m**3*n - 2*m**2*n + 34*m*n**2 - 920*n**2 + 38*n wrt m.\nAnswer: -9186*n**2 + 6960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 5777.454ml in litres?\nAnswer: 5.777454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.3 + 267.\nAnswer: 281.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - l = -0*l + 24, m + 2*l + 18 = 0. Let f(v) = -433*v**3 - 11*v**2 - 11*v - 10. Let g be f(m). Round g to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 309334*r\/3 - 309332\/3.\nAnswer: -2*(r - 154666)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 5*k**2 - 8*k + 1. Let h be z(7). Let y be (-8)\/(-6)*h\/(-34). Solve -p - p = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241\/3 - 80. Which is the third biggest value? (a) s (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1314.5 from -85728.1.\nAnswer: -87042.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3 + 5 + 4*o - 1 + o**2. Let y be k(-5). What is the units digit of (y\/(-7))\/((-4)\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.1, -4, 73.25, 47, 2\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 101 + 129 = 0. Let n(a) = 22*a**2 + 29*a + 12. List the prime factors of n(y).\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161638830 + -161638904.9999448. Let s = x + 75. What is s rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - t = 4, 0 = 3*x - 3*t - 9. Suppose -2*w - w = 3*f - 15, 0 = -w - 5*f + x. Put 5, 3, w, 1 in ascending order.\nAnswer: 1, 3, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581 a factor of 545578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 9*f - 8*f - 322, -1654 = -5*f - 4*i. Let b = -238 + f. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851111 times 0.08\nAnswer: -68088.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1983, 8133, 18779, 34245, 54855, 80933, 112803, 150789?\n\"Answer: 54*k**3 + 1924*k**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9439 (base 11) to base 2.\nAnswer: 11000011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j - 29. List the prime factors of l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -6.493206?\nAnswer: -6.493206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1548 and 31572?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 5. Let l(b) = -2*b - 3 + b - b. Let g = -4 + 0. Let f be ((-1)\/(-2))\/(g\/(-24)). Determine f*v(o) + 5*l(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6140, -24593, -55364, -98453, -153860, -221585?\n\"Answer: -6159*o**2 + 24*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330446 (base 7) in base 14?\nAnswer: 78b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 132*z. Let s(v) = 2*v**2. Give q(s(g)).\nAnswer: -4*g**4 - 264*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {j: 7, q: 5}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 55900*q - 782592\/7.\nAnswer: -2*(q + 2)*(q + 195648)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 3. Let i(q) = q**3 - 6*q**2 + 2*q - 9. Let x be i(6). Let n(a) = 26 - a**2 + 0*a - 23 + x*a. Calculate -2*n(f) + 3*v(f).\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -280 + 278. Calculate the remainder when ((-7450)\/(-20))\/(-1 - 3\/g) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - 8. Let a = 34 + w. Solve -a*p + 8*p = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -89 (b) -12 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -28. Let f(m) = m**2 - 4*m + 4. Let h(c) = 4*c**2 - 16*c + 16. Let v(u) = a*f(u) - 2*h(u). Let k = -1 - -4. Give v(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(0 + (-4)\/(-344)). Let b be j\/(-72) - 2\/(-9). Suppose -b*f + 2*c = -7 - 12, -8 = 4*c. Solve 6 = -r + f*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2965626.\nAnswer: 2, 3, 54919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(9\/5)*6)\/(5\/5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*r + 273 = 58 + 2035 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15999 + (0 - -1))*-1250. What is j rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16802 and 5182.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from malmmaamsacacaaam. Give prob of picking 1 l and 1 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d - 20*d - 37*d as w*d + u and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 661c41?\nAnswer: -661c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75337.05 litres to millilitres.\nAnswer: 75337050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**13*q)\/q)**(-44)*q**(-1\/8)*q**11*q)**16 assuming q is positive.\nAnswer: q**(-8962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 847 divided by -7\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -100, 3 in decreasing order.\nAnswer: 3, -2, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -h + 2*h - 2*r, -6*h - r + 497 = 0. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232308 is divided by 1434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-14))\/(((s**18\/s)\/s)\/s**(1\/9)) assuming s is positive.\nAnswer: s**(-224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14158907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7177 (base 8) to base 7\nAnswer: 13551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1503)\/108 - 14)\/(-4*(-6)\/(-624))\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -66, -80, -90, -90, -74, -36, 30?\n\"Answer: y**3 - 7*y**2 + 2*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 23489*a + 844335. Calculate g(-36).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*p - 99*p + 85029. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*u + u = 0, 3*u = -4*j - 8. Suppose -6 = -2*z + 2*q, -q + 5 = -2*q. What is the closest to z in 5, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 44 = -2*m. Let b(a) = -a**3 + 10*a**2 + 12*a - 4. What are the prime factors of b(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5771, 11124, 16477, 21830?\n\"Answer: 5353*s + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxxffhhhhhiuuhhx. What is prob of sequence ixhh?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 80 = -80. Solve h = 2*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0532 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6613477, -52907976, -178564475, -423263974, -826687473, -1428515972?\nAnswer: -2268430471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113110134*d**3 - 45217*d**2 + 1103?\nAnswer: -678660804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 17*k - 9*k**2 + 60*k + 4 - 20*k.\nAnswer: -9*k**2 + 7*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879, 884, 889, 894, 899, 904?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 0, -10 in descending order.\nAnswer: 3, 0, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 - -223. Let s = 11.0061 + -0.0061. Which is the biggest value? (a) j (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.1 (c) 1 (d) 0.4 (e) -8.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4026 is divided by 270.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**3 - 10*q**2 + 7. Let g(t) = 12*t**2 - 14*t**3 - 5*t**2 - 5 + 10*t**3. Suppose 5*a = -l + 34, 0 = 3*a - 3*l - 17 - 7. What is a*g(z) + 5*v(z)?\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**4 - 2838*b*r**2 - 3*r**2 - 138*r + 8 wrt b?\nAnswer: -16*b**3 - 2838*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294886339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2, 0.5, -4, -3\/157, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -713, -1610, -2867, -4484, -6461?\nAnswer: -8798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16581, 16582, 16583, 16584, 16585?\nAnswer: 16586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -9 - -2 - (0 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.315? (a) -0.3 (b) -6 (c) -5 (d) -9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47309 and -11.3?\nAnswer: -534591.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 13*t - 18. Give w(-18).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*t + 55327 = 509*t - 73*t - 26*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**4 + u**2 - u - 1. Let z(x) = -5*x**4 - 2*x**2 + 2*x + 3. Let k = -5 + 7. Let w(o) = k*i(o) + z(o). Differentiate w(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.125?\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3478304?\nAnswer: 2, 73, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15043195.2367 - 15126779.24. Let n = h + 83593. Let q = 9 - n. What is q rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132*k - 1090*k + 3269*k + 3470*k - 349*k)*(k**3 + 0*k**3 + k**3) in the form f*k + q + x*k**2 + z*k**4 + h*k**3 and give z.\nAnswer: 10336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 415423438 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(91\/(-35) - 2\/5). Suppose q = 10*m - 7*m - 6. Suppose 3*x - m*x = 17. Solve j - x = 5*i - 0*j, -5*j - 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + (-32)\/6. Let q(c) = -c**3 - 2*c**2 - 6*c + 10. Let g(w) = w**2 + 1. Let y(z) = -5*g(z) + q(z). Calculate y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779378 is divided by 172?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*x - 2*h + 80 = 51*x, -2*h + 4 = 0. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 168565 = -2*k, -505691 = -3*o + 2*k - 7*k. Let d = o - 247557. What is d rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17145 and 1270.\nAnswer: 34290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -235*u - 304. Let f be q(-10). What is the greatest common factor of f and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -2. Let c be (311\/i)\/((-133)\/4). Let g = -16\/7 + c. What is the second biggest value in g, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:38 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80116683\/104 - -770343. Let b = a - 3\/104. Find the common denominator of 111\/10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9069 is divided by 1511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/120 + 15*m**4\/8 + 2*m**3\/3 + 4*m**2. Let y(d) be the first derivative of j(d). Is 15 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -13, -5, 0.\nAnswer: -37, -13, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 7*d + 7. What is the remainder when n(-6) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24))\/(18\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 65536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/10*2 - -2. Is o greater than or equal to -4\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892, -1612, -2340, -3076, -3820, -4572, -5332?\nAnswer: -6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -138*l**3 + 21*l - 4. Let x(y) = 34*y**3 - 5*y + 1. Calculate -9*x(d) - 2*z(d).\nAnswer: -30*d**3 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -9, -4 in descending order.\nAnswer: 0, -0.3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/3 + (-8)\/(-12). Suppose 3*m + 12 = 4*s + h*m, m + 6 = 2*s. Calculate the lowest common multiple of s and 2\/(0 - 2\/(-5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f + 0 + 0*f**3 - 186*f**2 + 1\/10*f**5 + 1\/24*f**4 + 26\/15*f**6. What is the third derivative of g(k) wrt k?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -20513.\nAnswer: 143591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-19)*h\/(h\/(h\/h**(-18))*h) assuming h is positive.\nAnswer: h**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/10)\/(2373\/3955).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 + c**3 + (8*c**3 + 12*c**2 - 12*c**2)*(-1 + 4 - 2).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 3*v**2)*((1 + 1 - 4)*(-v - 2*v + v) - 10*v + 7*v + 25*v)*(0 - 3 + 1).\nAnswer: -156*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3391212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-85)*(-3)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9617 - -9654. Put 16, t, 0 in decreasing order.\nAnswer: t, 16, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e + -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 265 + -1101a?\nAnswer: -10975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(44)))**2 - (sqrt(176)\/sqrt(4) + 2 + sqrt(44)).\nAnswer: -4*sqrt(11) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 - 12 = 0. What is the least common multiple of ((-5)\/2)\/(6\/(-12)) and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-102)\/4)\/(303\/(-21412)). Round r to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 = 158*m + 323 + 987 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 3*t + 26247 = -12416. Calculate the remainder when t is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 16. Let h(o) = -27*o - 1. Let q be h(x). Let u = q + -24. Solve 2*c - 4 = 4*a + 8, 2*c + u*a = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007621434 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -179190*c. Let u(y) = -371*y. Give -3*o(j) + 1448*u(j).\nAnswer: 362*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2796*u - 1073671. Give o(-384).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/3 (b) -5.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50122554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*k - 1 + 20*k + 17*k + (-k + 0*k - k)*(4 - 3 + 1) - 2 + 2 + k - 2 - k + 2.\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x - 61*x - 4 = 0. Suppose 388 = -x*h + 392. Sort 6, h, -2.\nAnswer: -2, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence og when two letters picked without replacement from gemllmgo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 8*g**2 - 11*g - 26. Is 13 a factor of z(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28461275897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 22*c**2 - 3*c - 8. Suppose -5*a = -4*w + 44, a + 22 = 3*w - 0*w. Let m be y(w). Let h = m - 153. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2 - 0))\/(68 + -71).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -23916148746.25.\nAnswer: -23916148746.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - -4) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -24*(57\/2 + 8 + -7). Let m = 723 + c. Solve 5 = 5*z + m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -2. Let b(z) = 2*z**2 - 8*z - 6. Let l be b(h). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-8 + 15 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647721 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 (base 15) in base 13?\nAnswer: -aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 - 8741*x**3 + 3689*x**2 + 4*x?\nAnswer: -24*x - 52446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 0 (c) 2 (d) -1701\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r, -12 = 4*m + 3*r + 4. Put m, 2, 10 in decreasing order.\nAnswer: 10, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -89, -83, -87, -107, -149, -219, -323?\n\"Answer: -x**3 + x**2 + 10*x - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*i = 241 + 431 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 312800 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:57 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 208*g + 5. Let l be n(1). Let k = 14439\/10 - 1440. Find the common denominator of k and (-7 + l)*(13\/(-12) - -1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3563, 413, 4 in ascending order.\nAnswer: 4, 413, 3563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from bvbvvvbvvb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -623 + 6311\/10. Let b = -3239 - -29086\/9. Find the common denominator of b and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2\/9 (b) 2 (c) -129 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 - 8*z + 16. Let o be a(4). Calculate the lowest common multiple of (15\/(-2))\/(4\/(-24)) and (-220)\/(-154)*(7 + o).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 321\/11 + -29. Let m*j**2 - 4\/11 - 2\/11*j = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*p**2*x**3 - 2*p**2*x**2 - p**2 + p*x**4 - 11*x**3 + 11*x**2 - 472*x wrt x?\nAnswer: -72*p**2 + 24*p*x - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4305*o + 764 - 214*o - 764 as g*o + x and give g.\nAnswer: -4519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -3069?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326135 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.92 + -0.08. Let s = o + 4. What is the second smallest value in s, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 84439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 596.1 and -0.4.\nAnswer: 595.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141*p**2 + 4*p - 4*p - 3 + 0*p - 990*p**2.\nAnswer: -2131*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00232396 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, r: 10, u: 1}. What is prob of sequence ruj?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 351214473*j - 25226574 with respect to j.\nAnswer: 351214473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, -598058, 4 in descending order.\nAnswer: 4, 2, -18, -598058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4328669 to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829459 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2790 - -2799. Solve 8*w + 5*n = j*w - 1, 0 = -3*w - 2*n + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.6049 + -2.5309. Let j = l - 40.07. Let i = 0.004 - j. What is the nearest to 2 in 0.4, i, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(144) + sqrt(144))*-2)\/(sqrt(8) - (sqrt(64)*-2)\/sqrt(8)))\/(-4*(sqrt(9) + sqrt(9)*-2*3 - (sqrt(9) - (sqrt(576)*-1 - sqrt(9)) - sqrt(9)))).\nAnswer: -sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37202550064 and -26.47.\nAnswer: 37202550037.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 2*k**2 - 1. Let p be z(-1). Let s = p + 22. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526 <= 193428\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -4, 4.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2, 4, 168, -124, 0 in ascending order.\nAnswer: -124, -2, -1, 0, 2, 4, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:13 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)\/(n**(-1\/18)*n))**(-8\/13) assuming n is positive.\nAnswer: n**(932\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20388, -20430, -20472, -20514, -20556?\n\"Answer: -42*t - 20346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -24 + 4. Suppose 0 = -4*d + i*j + 55, d - 9 = 2*j + 1. What is the lowest common multiple of d and -1*(2 - 1) - -17?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16748489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 934.76 from -113138057.7.\nAnswer: -113138992.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2230380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 - -288. Sort x, -15, -3, 4 in increasing order.\nAnswer: -15, -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121 - 4?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12\/24 - (-10)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-357)\/6*(4012\/(-238))\/(-59)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(27\/54).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4 - (17 + (-27 - 18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3355 and 54351.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-10)*b**(1\/19)*b**13*b**(4\/3)\/b assuming b is positive.\nAnswer: b**(250\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/7 (b) 21\/167 (c) -6 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 1160 = -172*i - 484 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.58736 + 0.34\nAnswer: -1.24736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.0538 years in centuries?\nAnswer: 4.860538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) -14\/3 (b) 3\/4 (c) 50\/197 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -9*j**2\/2 - 80*j + 5. Is x(-15) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, 55, -2\/13.\nAnswer: -0.4, -2\/13, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -448 - -448. Let r(g) be the second derivative of 0 + 7*g - 1\/6*g**4 - 7\/6*g**3 + k*g**2. What is the second derivative of r(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046665 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.667 - 0.053. What is q rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**7\/280 + q**6\/120 + 13*q**3\/6 + 5*q. Let f(x) be the second derivative of a(x). Factor f(j).\nAnswer: 3*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa78 - -1ba2c?\nAnswer: 297a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-12)\/24). Suppose 0*i - i + 1 = 0. Suppose 2*f - 4 = -v, 3*v + 34 = 5*f + 2. Sort f, n, i.\nAnswer: i, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 2*f - 7. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1115932 and 48124.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*f + m + 11, -4*f - 4*m = -20. Suppose -h + f*h = -w - 4, 0 = 4*h + w + 8. What is the smallest common multiple of 2\/((-1)\/h*4) and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(56)*-1 + sqrt(56) + sqrt(56))\/(sqrt(8) - (sqrt(8) - sqrt(88)\/(sqrt(44)\/sqrt(4)))) + sqrt(1008)*2*-3 + 4 + -5.\nAnswer: -72*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/3 + 15428636*f**2 - 178532091186735*f - 1071192732264050\/3 = 0 for f.\nAnswer: -2, 23142955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179 - -0.3.\nAnswer: -1178.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -9625234?\nAnswer: -2\/4812617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 21*t - 15 = 0. Suppose 4*i - 2*f - 1551 = 1413, t*f = -5*i + 3716. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40214432 (base 5) in base 7?\nAnswer: 2501631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31126 and 1970?\nAnswer: 155630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 963*r + 8607. Determine h(-11).\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*v**5 - 425*v**4 + 2288*v**3 - 2193*v**2 + 472*v - 28 = 0. What is v?\nAnswer: -7, 2\/19, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouooooaooauauaou. What is prob of sequence aoau?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 34*p - 24. Let i be s(-8). Suppose 0 = 9*y - 790 - i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((sqrt(147) + 1 + sqrt(147))*-5 + sqrt(147) + (sqrt(147) - (sqrt(147) + -4 + 2*sqrt(147) + sqrt(147)) - sqrt(147))))**2.\nAnswer: 1092*sqrt(3) + 894349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j**2 + 6533*j - 3511. Let m be z(502). Factor -o**2 - 2\/5*o + 8\/5 - 1\/5*o**m.\nAnswer: -(o - 1)*(o + 2)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 1 - 16. Suppose -2*m + 29 = n*g + m, -4*g + 4*m = -4. What is the third derivative of 5*h**3 + 2*h**2 - h**2 - g*h**3 - 3*h**3 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1692309 and 8?\nAnswer: 13538472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 + 4*k**2. Let z(m) be the second derivative of -m**3 + 26*m. What is w(z(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*6\/(-234))\/((-5)\/((-45)\/(-6)))?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5908.708ug?\nAnswer: 0.000000005908708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4067629.\nAnswer: 4067629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000476768 to 6 decimal places.\nAnswer: 0.000477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, g: 2, e: 1, i: 1, b: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -1. Let y = q - -41.7. Which is the biggest value? (a) 4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 128969888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Suppose 0 = -0*n + u*n - 3. Solve -n = -3*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 3*m + 10, 22 = -2*l - 5*m. Let o = 14 + -32. Let q = 21 + o. What is the closest to -1 in q, l, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118572 and 237.\nAnswer: 9367188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199, 193, 187, 181, 175?\n\"Answer: -6*i + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236134 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -4.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13434 = -3*u - 5*z + 33804, 0 = -2*u - 7*z + 13547. Is u > 6804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i - 40. Let c = i + 43. Calculate the remainder when c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 200\/(-16)*(-2)\/5. Suppose 2*y - 5*y = 5*c - 339, g*y - 537 = c. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7476852 to the nearest integer?\nAnswer: 2734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3 - 264\/(-144).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1316, -1319, -1322, -1325, -1328, -1331?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(2\/((-8)\/(-10)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.2, 0 in descending order.\nAnswer: 0.2, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.1 (b) -3\/25 (c) 2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 139\/(-2)*2\/(-3). Let o be (-1363)\/(-29)*(2 - 3). Let f = c + o. Sort f, -0.4, -1.\nAnswer: -1, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -30. Suppose -2*x + 66 = 3*g, 0 = x + 2*x + y*g - 94. What is the remainder when x is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 13*a**2 - 5*a - 4. What are the prime factors of k(14)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5*k + 4. Calculate o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58944997\/5 at most 11789000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16050 + 2145. Let f = 37034 - k. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f + 21*f**2 + 48*f - 111*f + 21*f + 22*f + 17*f**2.\nAnswer: 38*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 554314 + -540?\nAnswer: 553444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + 1031100122?\nAnswer: 1031100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69.57 + 70. Let w = d + 0.57. Let l = 0.4 - 0.7. What is the closest to w in -0.1, 4\/9, l?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74420 is divided by 604?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -583 - -588. Suppose 0 = -k - 0*k + 1. Let t(n) = 7*n - 1. Let w be t(k). Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257824524 to the power of 1\/2, to the nearest integer?\nAnswer: 57077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12541 (b) 0.2 (c) 0.233 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13 = -3*k, -a = 3*k + 4*a + 23. Let l be (-4)\/10 - 3\/5. Let q(p) = -p. Let h(x) = -1. Calculate k*q(w) + l*h(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120010120 - -202010?\nAnswer: -12112101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let l be n(-1). Calculate the remainder when l + 0 - (-3 - 15) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 11:22 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 0. Suppose -k = -3*k - a. Let m = 7896 + -7895.7. Sort k, 10, m in decreasing order.\nAnswer: 10, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.2 - 9. Let d = 190 + -192. What is the closest to 1\/3 in d, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.01, -3\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5175 = 139*o + 86*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1165450 and 10450?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 35*v**2 - 196*v - 126. Calculate the remainder when 556 is divided by d(40).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15626637.79799931 + -15626746.798. Let q = t - -109. What is q rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -2*u + 5\/2*u**2 + 0*u**3 + 1\/280*u**6 - 1\/420*u**5 - 7 + 0*u**4. Let x(z) be the first derivative of w(z). Factor x(n).\nAnswer: n**2*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 194406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 119.13*-5\nAnswer: -595.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 875 - 1807\/2. Let b = -72469\/18 + 4025. Calculate the common denominator of b and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11618424 and 707750.\nAnswer: 5662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-30))\/((-132)\/(-198)))\/((-16)\/15)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 15) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3)*3)\/sqrt(4)*3 + 1 + 3 + (-5*sqrt(15)\/sqrt(3) - (sqrt(25)\/sqrt(5) + 4)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 69118960.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 12:02 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2289.579 meters in nanometers?\nAnswer: 2289579000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*d - 2*w - 8, 22 = -5*d - 3*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001486 rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/18)\/((-64)\/(-576))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*h**4 + 77*h**4 - 25*h + 71*h**4 - 656*h**3 + 1 + 214*h**2 + 1024*h**5.\nAnswer: (h + 1)*(2*h - 1)*(8*h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**5 - 60*p**4 - 922*p**2 - 462034*p wrt p?\nAnswer: -60*p**3 - 720*p**2 - 1844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3533 (base 10) to base 9.\nAnswer: -4755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24.986418 seconds?\nAnswer: 0.4164403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 - 433*z**2 + 286*z - 2476. Give x(86).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(133))\/sqrt(7) - (-4 + -2*sqrt(19) + sqrt(1216)*-2))**2.\nAnswer: 192*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39552 + 102982. What are the prime factors of v?\nAnswer: 2, 5, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l. Suppose 5*w + 0 = -3*h + 14, 5*h = 4*w + 11. Let a be m(h). Suppose 2*s + a*s = -25. Put 5, s, -4 in descending order.\nAnswer: 5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-6))\/(-1))\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -408063 divided by -1?\nAnswer: 408063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(3 - 3 + 2*a) - 218 - 754*a + 218.\nAnswer: -752*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 458\/5, 0.7, 3, -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18332 is divided by 199?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 15 = 11*g. Suppose -18 = -4*b - g*b. Solve b = 2*f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8913*k**3 + 847*k**3 - k**2 + 3*k - 3*k.\nAnswer: -8066*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3772 and 1312.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951, 887, 723, 411, -97, -849?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 - 93081784*l**3\/9 + 1083027314077832*l**2\/9.\nAnswer: 2*l**2*(l - 23270446)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5\/5 + 6816*v**4\/5 - 3830952*v**3\/5 - 11533782*v**2\/5 - 11547429*v\/5 - 3851418\/5 = 0.\nAnswer: -1, 1037, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let u = -0.058 + 8.458. Let d = u + -3.4. Which is the biggest value? (a) -5 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -15\/8, 1, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {w: 1, q: 3, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 75 = 4*b, -4*l + 0*b = 2*b - 34. Suppose 0 = 3*u + 2 - l. Solve -p = 0, -3 + 23 = -5*r - u*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9327, -11583, -13847, -16125, -18423?\n\"Answer: -h**3 + 2*h**2 - 2255*h - 7073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9 + a + 2*a - 7 - a**2. Let i(u) = u**2 + u - 4. Let m be i(-3). Suppose 4 = 2*l - z, 4*z = -m*l + 4*l + 2. Give f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**6\/6 - 2*o**5\/3 + o**4 - 2*o**3\/3 + o**2\/6 + 434. Find z such that h(z) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = 4. Let x = a - -18. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 11 + 66 + 94*p - 3 to m + r*p and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 + 342*a**2 - 10233*a\/5 + 15336\/5.\nAnswer: -(a - 1704)*(a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -7 in ascending order.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -3. Let r = 8.5297 + -6.5297. What is the fourth smallest value in r, 5, m, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*x + 13, -19*x - 16*g + 117 = -30*g + 17*g for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 18*r = -2*d + 1146 - 1148, -4*r = 26*d + 270 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 877 and 1214645?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.50041 decades?\nAnswer: 10380.0492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.61 + 0.61. Let m = -34.6 - z. Let c = 0.2 + -0.5. What is the closest to 0.1 in -1, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*i**3 + 27*i - 4*i + 3 - 4 + 126*i**3 as p*i + g + k*i**2 + f*i**3 and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57027 divided by -2.\nAnswer: 57027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -19*w - 2. Let o(m) = 19*m + 2. Calculate -4*a(c) - 5*o(c).\nAnswer: -19*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-415)\/166)\/((-30)\/132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*s = 4, -81*f = -77*f - 5*s - 10. Solve -f*t + 24 = -17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-3) + (1 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from jzjzjzj?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6406427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -50, 0, -5, -0.07, -321?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 7*f + 1. Suppose 5*r + 23 = -2*a, -3*r + 0*a = -a + 5. Let s = 10 + r. Let q be v(s). Round q to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 - -111) + 24 + -135 + 3.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80079.3 hours to weeks.\nAnswer: 476.6625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -27, -42, -4, 245 in decreasing order.\nAnswer: 245, 9, -4, -27, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 7. Let u = 608 - 605. Calculate m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/12 + t**3 + 33*t**2\/2 + 21*t. Suppose -w - 2*w - 42 = 0. Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfyf. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941184964?\nAnswer: 2, 3, 1847, 132701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 487566 to the power of 1\/2, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -256652.5.\nAnswer: -256652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846555048.\nAnswer: 2, 355819381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*i = -159*i + 190. What is the lowest common multiple of i and 746?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -36. Let g = -9 - l. Suppose 0 = -w - g*r + 2, -3*w + 2*r + 44 = w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 21907067?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 77, -6243, 0.02, 3\/8 in increasing order.\nAnswer: -6243, -1, 0.02, 3\/8, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -7*t**6\/6 + 4*t**3\/3 + 41*t. What is the second derivative of s(o) wrt o?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 41601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3476674 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6943.9999331 + -6944. Round w to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(3\/4)*m*m)\/m)\/(m*m**(-4)))\/((m*m**(2\/31)*m)\/(m\/(m\/(m*(m*m\/m**15*m)\/m)))) assuming m is positive.\nAnswer: m**(-1155\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 13\/2*u**2 - 163*u + 1\/3*u**3 + 0. Let r(x) = -2*x. Calculate g(r(i)).\nAnswer: -4*i + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -1\/16 (b) 0.06 (c) 0.02 (d) -4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h)\/((h\/h**(4\/5))\/h)*(h\/(h**1\/h))**30)\/(h**(-1\/4)\/(h**(-6)*h))**(3\/5) assuming h is positive.\nAnswer: h**(679\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/679133 and -97\/3447906.\nAnswer: 44822778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.800202l to millilitres.\nAnswer: 8800.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4070692 is divided by 169612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**2 + 41257113*q - 41257113*q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02298747 rounded to 5 dps?\nAnswer: 0.02299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 3*u + 3*u)*(1980 - 1880 + 1777) to n + k*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20)*y*y*y**42)**(-21) assuming y is positive.\nAnswer: y**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 42. Let r be ((-27)\/54)\/((-8)\/m). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/((-8)\/(-2)) - 0. Let c(h) = h**2 - 4. Let z be c(-3). What is the second derivative of 2*j**3 - 3*j**z - j**r - j**3 - j wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 42 = -4*y, 10 = 5*j - y - 17. Let p(v) = 2*v**2. Let t be p(j). Suppose 11*o + t = 1799. What are the prime factors of o?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 15. Suppose k*n - 4*n = 4. Solve -y - n*y = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-18)\/(-3)))\/((-10)\/(-180)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 13 + (13 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 rounded to the nearest ten?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zvz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03629302 - -0.0363. What is a rounded to 7 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 2. Let s(r) = -r**2 - r + 3. Let w(g) = 3*s(g) - v(g). Let l be 1*(-48)\/(2*-2). Suppose -3 = 3*m + l. Calculate w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -98\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56788, -113567, -170346?\nAnswer: -227125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(35\/(-2)))\/((-102)\/30)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 754.9 + -754.9. Which is the third smallest value? (a) -1612 (b) -0.1 (c) 2\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a + 589 - 127. Are a and -43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11645 plus -2865318?\nAnswer: -2853673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3 - 7. Suppose -x - 40 = -a*x. Find the second derivative of 11*r + x*r**2 + 3*r**2 + 2*r**2 wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1537625 + 1537625 + 10*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 8*u + 5. Let b be r(8). Let y be (-1)\/(-2) + b\/70. Factor 2\/7*m**2 + 2\/7 - y*m.\nAnswer: 2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - (4 + (-6 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - t**4 - 2*t**4)*(-t + 3*t + 7*t).\nAnswer: -27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {p: 2, i: 9, z: 1, r: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1750\/9625*297\/2\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 910393217*k + 1 + 910393217*k.\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from cwuulwvkl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 648*r**4 - 10934*r**2 - 8016050.\nAnswer: 2592*r**3 - 21868*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.246542l to millilitres.\nAnswer: 2246.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-16)*1*4. Let x(h) = 2*h + 26. Let r = -55 - -40. Let u be x(r). Which is the third smallest value? (a) d (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5654965071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 404033938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5. Let z be i(0). Suppose -7*h = -2*h - z. Let l = 5 - 6. What is the nearest to l in -2\/7, -0.1, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908 = 53*s - 71*s. Let n = -108 - s. Sort n, -14\/9, 1\/4 in ascending order.\nAnswer: n, -14\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2908*-0.06\nAnswer: 0.317448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 512*h - 609. Give q(2).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 33 + 39 = 0. Calculate the remainder when t is divided by (-45)\/(-18)*7\/(70\/52).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*c - 29*c + 23*c - 46*c as i*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -66, -67, -68?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 446725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8410.237 years in months?\nAnswer: 100922.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d + 3*z - 15, d - z = 7. Let j = 11 - d. What is the derivative of 3 + 3*r**3 - 3*r**3 + j*r**3 wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 37. Suppose 4*m = 5*m + y - 63, -m = -i*y - 69. Find the second derivative of -12*l**2 - 32*l - 27*l + m*l wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22 + 442872\/156 - (-4)\/52?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 12*v**2 + 15*v - 34. Let m be c(13). List the prime factors of (m - (1 + -8)) + 1278.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h = -4968 + 4437 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = 3*g, -g - 75 = -5*i. Let u = 27 - i. Let v = -7 + u. Solve -3*q + 2*x = 9, -3*q - 4*x = -q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -283856, -567262, -850220, -1132730, -1414792, -1696406, -1977572?\n\"Answer: 224*y**2 - 284078*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(243) + -2 + -2))**2 + 3 + -3 + -1*sqrt(3) + (sqrt(24)\/(sqrt(8)*-1))**2)*3.\nAnswer: -1947*sqrt(3) + 7002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -0.36. Let d be 1\/6 - 15\/36. Put p, d, -0.24 in ascending order.\nAnswer: d, -0.24, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -828, -967, -1324, -2001, -3100, -4723, -6972, -9949?\n\"Answer: -17*k**3 - 7*k**2 + k - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2583804 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 35368*x\/3 - 312723856\/3.\nAnswer: -(x + 17684)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 162310 rounded to the nearest one thousand?\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 10. Suppose 3 = p - o. Suppose 2*i = -2*i + p. Calculate the remainder when 4 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 e when four letters picked without replacement from {e: 7, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 97038 divided by 10782\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*d**3 - 349074240*d**2 + 139629684*d - 13962968 = 0. What is d?\nAnswer: 1\/5, 3490742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k**(-2\/13))**(-29) assuming k is positive.\nAnswer: k**(348\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 divided by 388?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -75?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(1\/5)*((y*(y\/(y*((y**(-2\/3)\/y*y)\/y)\/y*y))\/y*y)\/y)\/((y*y**4*y)\/y))\/(y*y**(-1)\/y*y**3*(y*y**(1\/3)\/y)\/(y\/y**5)) assuming y is positive.\nAnswer: y**(-583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 8. Let z be u(6). Let d(x) be the second derivative of 4\/15*x**3 + 1\/30*x**4 + x + 4\/5*x**z + 0. Factor d(w).\nAnswer: 2*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6051476592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 - 245 = -16*i + x, -49 = -2*i - 5*x for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44521?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123360772 a multiple of 2246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.008 and -18617688265?\nAnswer: 18617688265.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2112*q**3 + 0*q**2 + 0*q**2 + 2113*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**18*u))\/(u*u**(-33))*((u*u**37\/u)\/u)\/(u**31*u) assuming u is positive.\nAnswer: u**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-4)\/(-2) + (429 - 11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 281201190?\nAnswer: 843603570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, l: 3, s: 1, x: 4, n: 1, f: 1}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -196300 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -1371.\nAnswer: 8226","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Suppose -32*o**3\/9 - 112*o**2\/9 + 62*o\/9 - 8\/9 = 0. Calculate o.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1696)\/((-4)\/(-1))*(0 + -1). Suppose 539*q = 543*q - m. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128940468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 13. Let f be a(-7). Suppose 4*g = 12 + f. Calculate the smallest common multiple of g and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 16*o**2 - o + 26. Let b(d) = -12*d + 4. Let h be b(-1). Calculate the remainder when 17 is divided by f(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ac88 - -3?\nAnswer: -7ac85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j + 8. Factor 10*q**j - 5873*q**2 - 64*q - 64 + 5885*q**2 - q**4 - q**4.\nAnswer: -2*(q - 4)**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -31\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12650 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:44 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-7))\/(-3) - (-27)\/(-7). Sort 4, -3, m, -12 in ascending order.\nAnswer: -12, m, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 42, 50, 50, 36, 2, -58, -150?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 + 19*w - 9. Determine t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -623114.9399942 + 623115. Let m = g + -0.06. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.327 - -33?\nAnswer: 33.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313267577.\nAnswer: 7, 53, 239, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -2 + (7 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 2250, 8246, 19896, 39078, 67670?\nAnswer: 107550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 718944 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 0. Let k = -35.6 + d. Let o = k + 11.59765. What is o rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 - 3 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-51)*(-2277)\/(-2024)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/(388\/582).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 295*j - 2530. Let f(x) = -104*x + 843. Calculate 17*f(g) + 6*m(g).\nAnswer: 2*g - 849","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86543, -173098, -259663, -346232, -432799?\n\"Answer: m**3 - 11*m**2 - 86529*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0*h - 90. Let a be (36\/h)\/((-3)\/10). Suppose 3*p + 1 - a = 0. Solve -p = -4*l - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1928.68 - 1846. Let z = 82 - k. Let j = z + 0.67999992. What is j rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5521 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*j + 11. What is the first derivative of i**2 - i**2 - 1 + i**2 + j wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -4*p, 0 = 4809*g - 4818*g + 3*p - 90 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273790 and 33440.\nAnswer: 4380640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 0 (c) -35\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 28*n**2 + 894*n\/5 - 1368\/5.\nAnswer: -2*(n - 3)**2*(n + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -5*g**2\/2 + 914*g. Suppose -3*m - 2*m = -5. Let x(t) = -t - 1. What is m*j(n) - 5*x(n)?\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 4. Let a be r(2). Let n = 7 - a. What is the second derivative of -2*k - 59*k**5 + 50*k**n - 5*k wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*2*-2)\/(sqrt(288) + (sqrt(288)*1 - sqrt(288)) + sqrt(288)))\/(-3*sqrt(500)*-2 + (sqrt(500) - sqrt(500)*-1*2) + sqrt(500)).\nAnswer: -sqrt(3)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-4) - 597*-1. Suppose 2*i - r = -6*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 1) + -76 + 86. Calculate the highest common factor of t and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(54\/(-34) + 2). Let m = f - -292\/63. Suppose 3 = 4*o - o. Sort 0, m, o in increasing order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.990486 hours to milliseconds.\nAnswer: 21565749.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612432?\nAnswer: 2, 3, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by -6.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 8. Let d be t(5). Let y = 19 - 12. What is the second biggest value in 0.4, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 12 = 0. Let s(p) be the second derivative of p**5\/20 - p**4\/2 + 2*p**3\/3 + p**2 + 4*p. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(-9*c**4 + 95 - 95).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.041 - 0.041. Which is the fourth biggest value? (a) z (b) 2\/11 (c) 1 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 96, 210, 370, 576, 828?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 10*o - 215. Calculate h(-11).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8998*k + 4 = 8999*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 473*j**2 + 2314*j - 250. Calculate x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -12. Let w be (((-48)\/(-9))\/(-4))\/h. Let p be 1\/(-2)*(-3 - 1) + -6. What is the third smallest value in w, p, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2322229 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -225. Let t = r - -309. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 538, 1074, 1610, 2146, 2682, 3218?\n\"Answer: 536*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**7\/30 + 19*t**6\/120 + t**5\/10 - 7*t**4\/6 - 4*t**3\/3 + t**2. Factor d(j).\nAnswer: -(j - 2)**2*(j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356687?\nAnswer: 19, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 7, 4, 74 in ascending order.\nAnswer: -5, 0, 4, 7, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 244, 283, 26, -707?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*v**3 - 88*v**3 + 7*v**3 + 20*v**3.\nAnswer: -223*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.860387 grams?\nAnswer: 0.000000860387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n = 4, -x + 15 = -4*n. Suppose y = 6 - x, -4*y = -c + 2451. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.4 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + 0 - (2 + 1 - 16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705 < 10552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-10)\/(-2))\/20)\/((-104)\/104))\/(9\/(-4))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102885718 to the power of 1\/3, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:15 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -26517179 > -26517181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.7 - -4. Let u = 0.434 + -0.073. Let w = c - u. What is w rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*q + 62 = 0, -3*q = 4*c - 7 - 45. Solve w - c = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*x + 60 - 60 + 368*x.\nAnswer: 544*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50397 and 30144?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -1\/3, 2\/15, 22\/5 in descending order.\nAnswer: 7, 22\/5, 2\/15, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58063?\nAnswer: 31, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = -135*a + 1239. Let r = -14 + 17. Solve -r*p - 6 = -a*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 157223 + 41221 = 40565. What are the prime factors of b?\nAnswer: 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007844 rounded to four decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8319 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - 19*a + 31. Let d be m(11). Let k = -288 + d. Let w be (1*(-5 - 1))\/(-1). What is the greatest common factor of k and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1\/6*m**2 + 0*m - 1\/15*m**5 - 3 - 1\/12*m**4 + 1\/9*m**3. Factor f(j).\nAnswer: -j*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3\/4 (b) -11 (c) 0 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-2)\/(-30)). Let u = 2207 - 2191. Solve 0 = 3*d + w*a + u, -3*d + a = -a + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Let q = 5\/16 + -1\/16. Let n be 1*((-1)\/4)\/1. Sort q, m, n in descending order.\nAnswer: q, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.77.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6418833*p**2*x**2*z**2 + 11144*p**2*x**2*z - 209*p**2*z wrt z.\nAnswer: -12837666*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(343) + (sqrt(343) - (sqrt(343) + -3)) - -4*sqrt(14)\/sqrt(98)) + 0)**2.\nAnswer: 636*sqrt(7)\/7 + 3061\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 23*r**2. Let i(d) = -d**3 + 10*d**2 - 11*d + 18. Let k be i(9). Let b(p) = k*p + 3*p + p - 3*p. Calculate b(x(y)).\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -751\/6 + 125. Which is the third smallest value? (a) -3 (b) 5 (c) x (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = -7. Suppose 0 = -0*m - m - 6. Let c be (-2 + (-16)\/m)*z. Solve -16 = -4*f - c*q, 10*f - 5*f + q - 24 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 6.2296.\nAnswer: -5.4296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1502, -3, 7, 2.\nAnswer: -1502, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, h: 1, w: 1, u: 4}. Give prob of sequence ewuu.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**12*p**(-4)*p*(p*p*p**(-1\/2))**47)**(-17))**41 assuming p is positive.\nAnswer: p**(-78761\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f**4 - 3 + 3 + (0*f - f - f)*(2*f**3 + f**3 - 5*f**3) - 2*f**4 + 0*f**2 + 0*f**2 in the form l*f**3 + b*f**4 + x*f**2 + m*f + j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*c - 57*c + 426 + 960 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610252.\nAnswer: 2, 152563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 2*z**2 + 8*z + 1. Let x(m) = -3158*m**3 + 3165*m**3 + m**2 - 2 - 6*m**2 - 11*m - 5*m. What is 5*l(i) + 2*x(i)?\nAnswer: -i**3 + 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1104)\/4*(-5)\/30*2\/(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 73?\nAnswer: -12\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*m + 68 = 0, -5*i - m + 70 = 4*m. Let c = 4 + -1. Suppose 2*n + c*y - 30 = 0, -3*y + 2 = n - 10. What is the least common multiple of i and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 36*y**3 + 7*y**2 - 4*y - 1. Determine u(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6319*u + 12660*u - 6260*u + 162 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-189)*6\/(-1). Which is the closest to -2? (a) -0.5 (b) -1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.85 to one dp.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**2 - 93703912*w - 548776445256484 = 0. Calculate w.\nAnswer: -11712989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0\/y)**(-29))**(-14\/9) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -w - 24, 3*d = d + 5*w + 32. Let n be (-4)\/(-22) + (-2)\/d. Suppose n*s = 4*s - 68. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*q = -0*w + 24, 3 = -w + 3*q. Let l = -3 - -19. What is the remainder when l is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47\/38 + -5\/19. What is the third smallest value in -1\/4, -38, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 15, f: 3}. What is prob of picking 1 f and 3 c?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 35 + -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1785317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -340773 divided by -40\nAnswer: 340773\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004*i + 1713*i - 740*i + 1134*i - 139774 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.5 (b) 2 (c) -8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:33 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + -12 - (2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25578*o + 3349*o + 5672824 = 5285*o - 19662*o for o.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 6. Let g be b(2). Suppose -5*r = -g*r + 1, 2*r = u - 1044. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1847 = 11*x + 263. Calculate the greatest common factor of x and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5245 - 4*b**2 + 2*b**2 + 10702 - 8*b**3 - 15947.\nAnswer: -8*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -130*p**2 - 3*p. Let s(h) be the first derivative of -h**2\/2 - 906. Give y(s(i)).\nAnswer: -130*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24280.\nAnswer: 2, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 356902391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 84, 28, -102, -312, -608, -996?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 2:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13202551699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:46 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + h + 40, i = -h + 8. Solve d + 2*v - 5 = 0, -d - v - 4*v = -i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (0 - (-2 + (5 - 3))). Suppose 0 = r*p + 8*p - 24588. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = 0, 0 = -4*j + g - 18 + 2. Let t = -402 - -585. Let h = -187 + t. Which is the nearest to -2? (a) h (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 4*j - 4*a, 2*j - 3*a = -3. Let x = j + 3. Suppose 0*u - u + 7 = x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71624.2 minutes to milliseconds.\nAnswer: 4297452000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(1 + 207*h + 60*h + 314*h + (1 + 3*h - 1)*(-3 + 2 + 0) + 5*h - 4*h + h - 4*h + 4*h - 4*h) in the form o*h + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 2. Let g(m) = -650*m**2 + 8. What is g(w) + 2*z(w)?\nAnswer: -646*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let f(q) = q**2 + q - 27. Let b be f(5). Put 13, c, 4, b in decreasing order.\nAnswer: 13, 4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(25)\/((sqrt(240)\/sqrt(4))\/sqrt(12)) + -3).\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 36*k**2 + 8781*k - 691. Determine q(-244).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) + (-74)\/8. Let m be 5 + j\/(-3) + -6. Which is smaller: m or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (31 + -42) - 10\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/49, -0.2, -1\/6, 758 in increasing order.\nAnswer: -0.2, -1\/6, 15\/49, 758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/28*(-10 - (7 + 3)). Suppose -20\/7*s**3 + 20\/7*s**2 + 10\/7*s**4 + 2\/7 - g*s - 2\/7*s**5 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 522133290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1531879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrc when three letters picked without replacement from {c: 1, r: 3, s: 1, m: 1, g: 6, f: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose -5*y + 16 + 6 = -g, -2*y - 3*g + 19 = 0. Sort w, y, -1 in ascending order.\nAnswer: -1, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, g: 1}. What is prob of picking 2 y and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-5)*29*-1. Let f = m + 4. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-14) + 387\/(-252). What is the second smallest value in -29, -0.9, c?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -56*o + 21. Calculate the remainder when n(-3) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - i)*(-4*i + 4*i + i) - 42 + 6*i**2 + 42.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1121, 1102, 1069, 1016, 937, 826, 677?\n\"Answer: -n**3 - n**2 - 9*n + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/14*(-2870)\/(-18450).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -508835, 1, 2, 9 in descending order.\nAnswer: 9, 2, 1, -508835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.3 - -13.3. What is the second biggest value in 4\/3, 1\/2, -2\/5, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Suppose -5*i + 2*l + 11 - 3 = 0, -i - n*l + 6 = 0. Solve -4*b - 4 = -i*w + 6, 0 = 5*b - 3*w + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350 (base 8) to base 13.\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 6*l - 21. Let b be g(-7). Let v(a) = 7*a**3 - 2*a + 2. Calculate the remainder when v(2) is divided by 6\/(-8)*b\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Is -37*3\/v*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/204 and 81\/150344.\nAnswer: 7667544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137876, 275755, 413634?\nAnswer: 551513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**6\/15 - 5*d**4\/6 + 8*d. What is the third derivative of n(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5953183700 to the nearest 1000000.\nAnswer: -5953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkmfx. What is prob of sequence mk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, i: 2, t: 1}. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 1 + 1)*(-2*s + 4*s - s) + (-4 + 1 + 2)*(0*s**2 + 0*s**2 + 2*s**2) as j + q*s**2 + v*s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/5 - 317127*b**2\/5 - 126850*b = 0. What is b?\nAnswer: -317125, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)*t)\/t*t*t*t*t*t**(-4)*(t\/(t*t\/((t*t**(13\/4)*t)\/t)))**(5\/14) assuming t is positive.\nAnswer: t**(1867\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35489646349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4\/2 + 23*k**3\/2 - 40*k**2 + 14*k.\nAnswer: k*(k - 2)*(k + 7)*(5*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5\/15 + 62*y**4\/15 - 206*y**3\/15 - 62*y**2\/15 + 68*y\/5 = 0.\nAnswer: -34, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3255937 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {f: 4, i: 1, z: 1, h: 1, l: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**3 - 3*s**2 + 30*s + 4. Let h be c(-10). Is h + -7 + 7 + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14108 = 72*n - 12*n - 3352. What is the remainder when n is divided by 0 - 8\/(-5 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 1. Let w be q(-3). Let x = w + 11. What is the lowest common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((((((q*q*q**(1\/21)\/q)\/q)\/q*q)\/q*q)\/q)\/q)\/q*q)\/(q\/(q\/((q\/q**(-4))\/q))) assuming q is positive.\nAnswer: q**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18c250b + -74?\nAnswer: 18c2467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/2)\/((660\/528)\/((-7)\/(210\/(-25)))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 10 = -3*w. Let u be (-12)\/7*w\/2. Solve 0 = 3*h - u, 0 = 4*o + 4*h + 2 - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.7305 decades in millennia?\nAnswer: 2.607305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85981251 to the power of 1\/2, to the nearest integer?\nAnswer: 9273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67564*p**3 - 109*p + 11*p + 135130*p**3 - 67567*p**3 + 3 to the form h*p**3 + i + o*p + m*p**2 and give o.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3\/5 - 676*k**2\/5 + 19264*k\/5 - 12544\/5.\nAnswer: 2*(k - 56)**2*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2460 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5. Suppose -z - 3*b - 18 = -3*z, 0 = 3*z - 4*b - 25. Let g(p) = -p + 6. Give z*y(h) - 2*g(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709859?\nAnswer: 13, 23, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1704 and 291476584.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:11 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 2. Let u be v(-2). Suppose u = -g + 4 - 9. Is -4 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 0*c + c**4 + 0*c**3 + 1 + 5\/2*c**2. What is the second derivative of u(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 64 = -2*v, 5*c - 23 = 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 5 (b) 0 (c) -0.1 (d) 4\/11 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5812*b**3 - 3*b**2 + 11*b + 30. Let c(p) = -p**2 + 3*p + 10. Calculate 3*c(a) - v(a).\nAnswer: -5812*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(-20) assuming f is positive.\nAnswer: f**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100 - 4101?\nAnswer: -4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 45 - ((-400)\/(-24) - 8))*18\/(-555)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*b - 37*b - 43*b - 37*b + 62*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -9 - (-151 - -119 - (1 + -17))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -b - 9, 2*l + 3*b - 494 + 521 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*r - p, r - 4*p = -2 - 1. Solve 8 = -2*v - 2*m, 8*m = v + r*m + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 - 426018\/(-30). Round s to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2256785 (base 9) to base 5.\nAnswer: 303000203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*v - 20 + 200, 0 = -j - 3*v + 49. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = o - 1, -3*f + o + 74 - 146 = -71 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4230*n**2 + 4235*n**2 - 8453*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5863107 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-99))\/((-112)\/24)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9584 (base 13) to base 12.\nAnswer: bbb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 1.03. Let s = 32.0936 - 31.0936124. Let k = c - s. Round k to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + 87. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(1\/6). Let v(u) = -u - 2*u**c + 4*u + 6 - 8 + 2*u**2. What is v(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + -2 + 7)*(-2)\/(-2). What is the tens digit of (2 - -1)\/(n*(-2)\/284)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2004, 8067, 18172, 32319?\n\"Answer: 2021*a**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -511406 or -511404?\nAnswer: -511406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1. Let w(d) = -3*d - 35. Let m be w(-12). Let q(k) = 4*k - 6. Let v(r) = m*q(r) + 6*i(r). Let x(t) = -14*t. Calculate x(v(f)).\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3001131002 (base 4) to base 15\nAnswer: 109bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 636 - 635. What is the hundreds digit of (3 - (-2 - 1783))*u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = o + 73. Let y be 10\/o - 32\/(-10). Suppose -x + 29 = 2*f, 4*x - y*x = -5. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 2*n - 1. Let t(v) = -v**2 + 7*v + 5. Let z be t(7). Suppose 0*w - 2*w - 3*g = -4, z*w + 3*g - 19 = 0. What are the prime factors of m(w)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 207. Suppose 0 = 2*a + 5*b - 40, -4*a - 4*b = c - 177. What is the units digit of a\/4 - 5\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6172\/20917 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose f*w - 39 = -w. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7885856*m**5 - 31*m**2 + 78*m - 219 wrt m?\nAnswer: 473151360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -609 + 1 + (-1 + 12 + -8)\/3. Which is smaller: -608 or q?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqqqqqmq. What is prob of sequence qm?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(1008)*-2 + sqrt(1008) + 2 + 4 + sqrt(1008)*2)**2*3.\nAnswer: 360*sqrt(7) + 3098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -230, -1535, -3622, -6491?\n\"Answer: -391*z**2 - 132*z + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 8. Suppose 0 = -0*c - c + p + 7, 3*p = -4*c + 56. What is the smallest common multiple of w and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*k**3 - 141*k**3 + 462*k**3 - 62*k**2 - 162*k**3 + 78 + 61*k**2 in the form r*k**3 + q*k**2 + u + c*k and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**4 + 14*u**3 + 5*u**2 - 14*u = 0?\nAnswer: -1, 0, 1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 10 + 11 - 2*h)*(h - 2 + 2).\nAnswer: -3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maaaaamm. What is prob of picking 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 3, 6, 11?\n\"Answer: i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1983, 2 in decreasing order.\nAnswer: 1983, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -4. Let u be (-2)\/v - (-12)\/42. Solve u = n + n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 5*c + 5. Let s(o) = o**2 + o - 1. Let f(x) = -q(x) - 5*s(x). Let h(p) = -2*p. Give h(f(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {h: 12, r: 1, s: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.76. Let r = 0.04004 - y. Round r to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {e: 3, b: 5, q: 2, j: 9}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -112630?\nAnswer: -112630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/24 + m**3\/2 - 2*m**2 - 14*m. Let g(x) = -1. Give -f(k) + g(k).\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 3*f + 0*f)*(-8 - 8*f + 8)*(-1 - 5 + 4) as a + b*f**2 + g*f and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r + 179. Let g be b(11). Let o(m) be the second derivative of 11\/12*m**g + 0 - 9*m + 3\/4*m**2 - 1\/6*m**4. Determine d, given that o(d) = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31560 + 31693. Calculate the remainder when x is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 9*r**4\/4 + r**2 - 17*r + 1. Let q(o) = 16*o. What is t(q(z))?\nAnswer: 864*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 44*f**2 - 174*f + 901. Give q(-48).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 35\/2*k**2 - 2 - 3*k. Is m(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1772.04 + 1772. Sort k, -7\/5, -1\/2 in ascending order.\nAnswer: -7\/5, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 95550689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - j**2 + 2 + 3*j**2 to the form p*j**2 + f*j + a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290*p**5 + 26*p**4 + 13421*p - 1?\nAnswer: 5800*p**3 + 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 26 + 100\/21*v**3 - 4\/7*v**4 - 12*v**2 + 36\/7*v. Determine t, given that b(t) = 0.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02424 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by -156.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29419 + 30961. Calculate the remainder when j is divided by 128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/765, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13649603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17328 - 5754 = 9*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5 + 38*o**4 + 222*o**3 + 418*o**2 + 332*o + 96.\nAnswer: -2*(o - 24)*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iiyiy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(25\/(-5)))\/((-4)\/3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 4*j**3 - 2*j**3)*(-1015 + 1015 + 97*j).\nAnswer: 194*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + n**2 - 4*n + 2. Let q be d(2). Suppose 3*g = 5*g - q. Let s be 1\/2 - (-21)\/(-6). Put s, g, -5 in descending order.\nAnswer: g, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 25, -3*t - 27 - 81 = -3*h. What is the remainder when h is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j - 1\/14*j**4 - 6\/35*j**5 + 0*j**2 + 0*j**3 - 1. Solve c(t) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 2448, 2, 4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 - 2870*v**3 - 4*v**2 + 4*v - 22348 wrt v?\nAnswer: 24*v**2 - 17220*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 0)*(2*t + 5*t - 5*t) + (4 - 3 - 4)*(0 - 2*t + 0).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 79 - (10 + 54).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6210 divided by 3105?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnysnnnnynynyys. Give prob of picking 2 y and 1 n.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 8. Let s be c(4). Suppose -s*d - 2*x - 18 = 0, 2*d - 4*x + x = 11. Sort -1, d, 0, 10 in ascending order.\nAnswer: d, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*g + 2154*g + 630*g.\nAnswer: 2695*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b. Let o(l) be the second derivative of 9*l**4\/8 + 27*l**2\/2 + 52*l. Let z(x) be the first derivative of o(x). Determine z(t(k)).\nAnswer: -135*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 505242917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -24, -56, -112, -198, -320, -484?\n\"Answer: -m**3 - 3*m**2 + 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060 and 37312?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 1. Let l(m) = 723*m. Determine l(i(q)).\nAnswer: 2169*q - 723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/(-84) - (-72)\/(-162)*(-54)\/12 and (-92 + 5)*(-3)\/45.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39\/10 + -27\/5. Let h be 4 - (-13)\/(819\/120). Let z = -46\/7 + h. What is the nearest to -0.1 in 0, w, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4004099.387 - -0.5.\nAnswer: -4004098.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008735531455 to 6 decimal places.\nAnswer: 0.008736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, 54.876, 32, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/128 and 113\/288?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565800 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75047830 and 734?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.398 - 1.898. Let j = 4\/21 - -2\/63. What is the third smallest value in j, i, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 15*d + 30. Does 40 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497 is divided by 672?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 and 119\/104934.\nAnswer: 104934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (3 - 15)\/(1\/2). Suppose -3 = -o - 4*l + 5*l, -g = -4*l. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006304139 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20184618*l**3 + 17012233*l**2 + 1 wrt l.\nAnswer: -121107708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96180597 to the nearest integer?\nAnswer: 9807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15841*a**2 + 3085*a**2 + 33409*a**2.\nAnswer: 52335*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 91*n - 1591. Calculate c(-19).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -1a?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 118. Suppose 0 = -4*x + x + n. Let a = -5 + x. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:00 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*v)*(-50*v**4 - 40*v**4 + 75*v**4).\nAnswer: -30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -162*o - 2982. Let t be r(-19). Let p(g) = -g + 6. Let i be p(6). Put -5, t, i in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9603.162 centuries?\nAnswer: 11523794.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:33 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 496a2 - -4b?\nAnswer: 49731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1521, 1\/8, -1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 66*z - 351 = 0 for z.\nAnswer: 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -210, -260, -300, -330?\n\"Answer: 5*t**2 - 75*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.209, -11, 0.06, -10, -8?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrlrhzzhrlhzrhl. What is prob of sequence zh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -241, 87, 13\/15, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f**4 + 0*f**3 + 9\/4*f**2 + 0 - 3\/2*f.\nAnswer: -3*f*(f - 1)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -527 + 804. Let m = -277 + t. Solve -4 = 4*y - m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 + 2*s**2 - 2*s - 1. Let h be z(-2). Let g = h - -132. Suppose 5*q - g = 2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*d**3 + 28*d**3 - 9*d**2 + 3*d - 3*d as i*d**2 + c*d + v*d**3 + r and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12112303301 (base 4) to base 2\nAnswer: -110010110110011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (22 - -1) - 0. Let p = 11 + u. Find the common denominator of p\/(-8)*202\/(-6) and -69\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*q - 1 - q**4 - 3 - 148*q**3 + 833*q**2 - 148*q**3 - 834*q**2 + 299*q**3 in the form i*q**4 + m*q**3 + j + o*q + c*q**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 + 10*b**4 - 28*b**3.\nAnswer: 2*b**3*(b - 2)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 0 + 0)*(18 + 28 - 4) + n**3 + n**3 + 3*n**3.\nAnswer: -79*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 269479, 538958, 808435, 1077910, 1347383, 1616854, 1886323?\n\"Answer: -t**2 + 269482*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1128\/2256)\/((-21)\/120).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000718304 rounded to 5 dps?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 190*j**2 - 78*j + 972. Determine a(63).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1. Let j(q) = q - 1. Let c(l) = -3*l + 2. Let g(v) = 2*c(v) + 5*j(v). Calculate -g(h) + t(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6 + z - 6 + 4 + 5. Suppose -3*d + 120 = -18*d. Calculate a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b + 186 = u, -3*b = 2*u - 77. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -238 - 39 - 479*l + 482*l + 29 in the form d*l + g and give g.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 4 + 12, 4 = v + 2*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 282?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8766 - 40839696677.\nAnswer: -40839687911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 0*y + y, 14 = 5*l + 3*y. Suppose 0*d - 2*d = l*m + 16, -5*d + 4*m + 16 = 0. Suppose d = 4*q - 8*q + 320. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/((-26)\/(-65)). Suppose 3*x + s*x = 66. Suppose x*v = 6*v + 30. Calculate the remainder when v is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - -0.36. Let r = -0.246 + 0.346. Which is the second biggest value? (a) -0.09 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4499.508 kilograms to micrograms.\nAnswer: 4499508000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)*(-1150)\/(-1012). Is 1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53946 = 62*i + 12*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 169818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*s + 344*s - 672 = -486*s + 17297 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**4\/8 - 2*n**3\/3 + 5*n**2. Is h(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 11*h**2 + 7*h + 21. Suppose -5*w - 15 = -3*g - 21, g = -3*w - 16. What is the thousands digit of k(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (1 + -117 - 4). Suppose -2*v + n = d - 17, d = 3. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 2*w - 35, 93*w - 89*w = 4*k + 60 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7687*w**3*z - 3*w**3 + 8*w + 209 wrt z?\nAnswer: 7687*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -136\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (13 - (-9 + (-105 - -106 - (-15 - 0)))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:32 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 7555\nAnswer: -3777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - y. Let k be r(-1). Solve m + k*m = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*u**2 - 179*j**2*u - j*u - 55*u**2 wrt u?\nAnswer: 6*j**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 5*a - 2. Let p be c(-6). Let g(n) = -3*n + 3. Let x be g(p). Let f = x - 9. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19 = -11. Let c(k) = -4 + 3*k + 8*k + k + q*k. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + -5.14. Which is the second smallest value? (a) -1\/7 (b) 0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/11 - 350*g\/11 - 348\/11 = 0 for g.\nAnswer: -174, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112002020 (base 4) in base 8?\nAnswer: -1260210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from ijqikqiji?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55337 rounded to two dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 25959360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxqsqxu. Give prob of sequence xu.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -268035*-0.2\nAnswer: 53607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/11)\/n**10)**(-2\/73) assuming n is positive.\nAnswer: n**(214\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.2191 and -0.5.\nAnswer: 3.10955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6803.\nAnswer: 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -14, 5, -3 in decreasing order.\nAnswer: 5, 0, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 28. Let s(k) = 2*k**2 - k**3 - 10*k**2 + k**2 - k - 6. Let a be s(w). Sort -5, a, 4, 2 in descending order.\nAnswer: 4, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (177 - 172)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6 + 81*m + 20 + 103*m - 7*m - 4*m. What are the prime factors of j(8)?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 47 = -89. Suppose -31 = -4*p + 3*c, 4*p = -4*c + 6*c + v. Let j = p + -6. Solve j = -w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3)\/(-2) + 7140\/168 and 121?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 475791*g**2 + 18684827784*g - 14301922959828.\nAnswer: 3*(g - 751)*(g + 79674)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let n(b) = 48*b + 27. Let d(v) = -4*v - 4 - v - 2*v. Let a(t) = -4*t - 20. Let p be a(-6). Let l(j) = p*n(j) + 27*d(j). Calculate l(r(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) 1.2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.022\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 11:45 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 59, 244, 607, 1208?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 420439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from vevvwbwdepe?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.03, -6\/7, -2, -0.08, 4\/3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.025879 weeks to minutes.\nAnswer: 60740.86032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427.5 + 428. Which is the nearest to 5? (a) s (b) -3 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + -9?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8)*-3)\/((-81)\/(-18)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*k + 7744 = 0, -3*c + 5*k = -c - 3872. Calculate the remainder when c is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -621.31 - -625. Let z = -7.69 + y. Which is the nearest to z? (a) -5 (b) 2 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 9 - (-2 + (-1 - -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 7) to base 11\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 928.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Suppose -4*k + 104 = -u*k. What is the remainder when 6\/((2 - 2) + 24\/300) is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49977483658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 29046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 131198964*-3\nAnswer: -393596892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/33*(-9)\/(-1656)*-24\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366464 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxz when three letters picked without replacement from {y: 5, x: 1, b: 4, u: 1, z: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.64 (b) -2 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-2))\/((108\/765)\/3*(-485)\/388).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 608 and 76688?\nAnswer: 2914144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21057 or -26?\nAnswer: -21057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -863 + 867 - (-1 - -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3214761 to the nearest integer?\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 34*c - 9 = -5*w, 0 = 8*w - c - 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l - 11*l + 0 - 10. What is the tens digit of o(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -317*l**3 - 7*l**2 + 16*l + 54. Is x(-2) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b44 (base 13) to base 2\nAnswer: -1000000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, z: 4, i: 1, h: 4}. What is prob of picking 3 z and 1 i?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7223 divided by 57\nAnswer: -7223\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2 - -4) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201314 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 15. Calculate the remainder when 8\/1 - (-3 + 3) is divided by i(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v**2 + 2*v + 1 + 0)*(3*v**3 - 6*v**3 - 2*v**3).\nAnswer: 5*v**5 - 10*v**4 - 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 14*h + 20. Suppose -4*y - 2*l - 16 = -6*y, -h*y + 14 = 5*l. Solve 3*b + y = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -5*h. Let u(f) be the third derivative of f**4\/24 + f**3\/3 - f**2. List the prime factors of u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**5\/5 - 14364*j**4\/5 - 63464*j**3 - 2252872*j**2\/5 - 1184844*j - 794860 = 0.\nAnswer: -11, -5, -1, 3613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/125, -1, 57, 1\/4, -1\/4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 9*h**2 - 20*h. Let d = -218 - -214. Let v be i(d). Solve v = g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p)\/(p*(p*p**(-18)*p)\/p*p)*(p\/p**28)\/p*p\/p**(-19)*p)**(-1\/6) assuming p is positive.\nAnswer: p**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 1848*k**3 - 1842*k**3 - k**4 + 19*k + 3692*k**3 - 8 + 45*k**5 - 7*k**2 wrt k?\nAnswer: 2700*k**2 - 24*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (30\/(-480))\/(3\/(-5 - 733))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 24226\nAnswer: -5\/24226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3*a**2 - 57*a - 21. Let o be h(14). Let l = 5804 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:26 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 5) in base 2?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -186? (a) -3 (b) 1\/4 (c) 1 (d) -1.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 42. Let g(i) = -2*i**2 + 36*i - 22. Let t = -144 + 161. Let r be g(t). Is m less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2*v*w**2 + 5*o**2*v + 143*o*v*w**2 + 9*o*v*w - 13*v*w**2 + 3*v*w + 2*w**2 + 297*w wrt w.\nAnswer: 10*o**2*v + 286*o*v - 26*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.42 + 0.28. Let a = -1.7000056 + v. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 29603b6?\nAnswer: 29603bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 10:41 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3325 + -3294 - (-1 - -23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Suppose 3*x - z = 151, j*x + z - 166 = -z. Find the second derivative of x*p**4 - 33*p**4 + 10*p + 7*p wrt p.\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 21640*z**2 - 29568708*z + 811045872.\nAnswer: -4*(z - 2691)**2*(z - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 7*a + 192. Suppose -y = -2*o + 48, y + 3*y + a = 4*o. Suppose -5*s + 43 = -17. What is the greatest common divisor of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 9 - 18)\/((-6)\/(-4)). What is the closest to v in 15, 0.1, 2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:38 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*g - 446 = 55 + 681. Let -1\/5*l**g - 38\/5*l - 361\/5 = 0. Calculate l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + i**3 + 1211 + 17*i**2 - 1149 - 7*i. Is 63 a factor of a(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5448 and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73609 + 0 - (2 + (-180)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19863, 39731, 59581, 79407, 99203, 118963, 138681, 158351?\n\"Answer: -i**3 - 3*i**2 + 19884*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 12. Let y be (-170)\/(-12) - 7\/42. Solve -4 = n*v - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10100001000101000101100?\nAnswer: 10100001000101000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 + 4 = 5*x, x + g = 1. Let w(c) = -5*c. Let z(t) = t. Calculate x*w(s) + 6*z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2760, -5552, -8348, -11148, -13952, -16760?\nAnswer: -19572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3553701 times -0.3?\nAnswer: 1066110.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**8\/336 - 2*j**7\/35 - 187*j**6\/120 - 21*j**5\/10 + 153*j**4\/2 - 252*j**3 - 277*j**2 + 3*j. What is o in r(o) = 0?\nAnswer: -6, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**23*m**(-3\/8) assuming m is positive.\nAnswer: m**(181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let s = 5.6 + -6. What is the second smallest value in t, -5, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x - 6. Let r be 3\/(-9) - (-110)\/15. Let j be g(r). Suppose u + u - j = 0. Solve 2*q + 10 = 0, -4*q - 30 = -u*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 12726 = 13353 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*s - 4 + 0 + 8*s to the form l*s + f and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -42. Let y = v + 16. Find the first derivative of -10*x + 12*x + 10*x - y wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -168, -0.237 in descending order.\nAnswer: 0.2, -0.237, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 g when three letters picked without replacement from wgedfff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 4*x**2 + 5. Let l be a(-5). Suppose 4*s = l - 10. Suppose v - 16 = -s. Calculate the greatest common factor of 88 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9341, 37517, 84485, 150245, 234797?\nAnswer: 338141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b. Let w(n) = 2*n + n**2 - 4*n + 2*n. Give j(w(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = 5*d + x, -x + 1 = -4*d. Suppose 0*l + 108 = 2*l. Suppose n = q - 26, 2*q + d*q - 4*n = l. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1885 or 1886?\nAnswer: 1886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -139221, -1113619, -3758407, -8908779, -17399929, -30067051?\n\"Answer: -139199*v**3 - v**2 - 2*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15310181\/114 - ((-10)\/(-12) + -1). What is d rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 110000010?\nAnswer: 101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 13*p + 55. Which is the biggest value? (a) p (b) 0.06 (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*r - 13. Differentiate -r - 9*o + 13 - 61 with respect to o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-192)*1\/(-4)*96\/(-72).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2148.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/24 and -133\/149890.\nAnswer: 1798680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 661, 1491, 2663, 4183, 6057, 8291, 10891?\nAnswer: 13863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - -2 - (-1 + -5 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/6 + 2 - 3) + (-1452)\/(-88). What is the highest common divisor of t and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 548971555*z + 539415995?\nAnswer: 548971555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*n + 5*q = 214*n + 60985, -n = 3*q - 12197. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 16. Let p be u(7). Suppose 2*n - 4 = n, -k - 5*n + p = 0. Is 17 a factor of (k + 0)*-8 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*z + 2*q**2 + 2*q*z + 673869*q + 2309240*z wrt z?\nAnswer: 2*q**2 + 2*q + 2309240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 8. Let c be q(-7). Calculate the least common multiple of 4 and (18\/10)\/(c\/(-5)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(12)*-2) - sqrt(18)\/sqrt(9)*1) + (sqrt(22)\/(sqrt(891) + sqrt(11)) - -1*sqrt(8)))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86095 and 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -85.98. Which is bigger: c or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 343\/28 - 2\/8 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 18*s + 4*s + 10*s. Let j(u) = -179*u**2. Calculate j(y(h)).\nAnswer: -179*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449 + 449. Suppose 10*d - 28*d + 1080 = b. Factor 3\/5*g**2 - 12*g + d.\nAnswer: 3*(g - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) -11 (c) 0 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2553*z**2 + 1207*z**2 + 7501*z**2 to the form b + d*z + m*z**2 and give m.\nAnswer: 11261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5135 (base 7) to base 5\nAnswer: -24130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 - 7*l**4\/24 + 4*l**3\/3 - 3*l**2. Let p be d(6). Factor -p - 4*q - 2*q + 5*q + 2*q + q**2.\nAnswer: (q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/11, 117, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5206845.\nAnswer: 3, 5, 7, 17, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6147 + -6111. Let j be (1\/(-1))\/((-2)\/74). Is v at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/17))\/(q\/(q\/q**(-2\/9))))**(-46)*((q\/(q\/(q\/(q*q*q*q**(-7)))))\/q*q**(-3\/7))**(-7\/11) assuming q is positive.\nAnswer: q**(-107555\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 40*a = 9571. What are the prime factors of a?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 5 + -13 - 53?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -2*m. Solve x**2 - 6*x**3 + 2*x**4 + 4*x**3 - 3*x**4 - 4*x**m + 6*x**5 = 0 for x.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 3*i - 450052 + 450052. Let x(h) = h**3 + 5*h**2 - 2*h - 4. Let b be x(-5). Let a(j) = b*j - 3*j + 6 - 2*j + 2. What is a(m(w))?\nAnswer: 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*z = 110*z - 734311 - 108697. What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -3541*c**5\/20 - 3089*c**4\/12 + 273*c. What is the third derivative of s(j) wrt j?\nAnswer: -21246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -138995 - (-2)\/(-1). What is h rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 2*q - 4. Suppose 4*s - 3*i - 16 = -4*i, -3*s + 21 = 3*i. Let t be r(s). Solve t + 0 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/2719 and -27\/11.\nAnswer: 29909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31489 + 34645 = -44*p + 92728 - 31874 for p.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36, 14\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {y: 6, c: 4, s: 4, n: 1, h: 3, t: 2}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 70*m - 35 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2. Let r(y) be the third derivative of -y**5\/20 + 43*y**2. Give d(r(b)).\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5) - (-212)\/(-682110)*-4983\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**28*(l**(-2\/5)*l*l*l)**(-50)*(l**(2\/9)*l\/(l**(-7)*l*l*l*l))\/(l**(-6)\/(l\/l**(-5))) assuming l is positive.\nAnswer: l**(-5624\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-28)\/(-84))\/(1\/27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -1.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-3))\/(5\/(-1655)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -23*j**3 - 5*j - 68. Let t(x) = 2*x**3 - x. Let a(s) = -5*t(s) + w(s). Differentiate a(k) with respect to k.\nAnswer: -99*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:42 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6273 times -22?\nAnswer: 57.8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Which is the third biggest value? (a) 1\/2 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -762454\nAnswer: -914944.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 243 - 2*c**2 + 4*c - 4*c.\nAnswer: -2*c**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let k(m) = -5*m - 7. Let i(q) = k(q) + 3*r(q). Let f be i(-10). Let v = f - -13. What is the remainder when 101 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426501 = 2639*c - 262883 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0 + 0)*(3*v + v - v)*(-2*v + 4*v - v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -1 (c) -3 (d) 14 (e) -17 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*c + 1697*j - 1700*j, 11 = -3*c - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 830892, 830882, 830884, 830904, 830948, 831022, 831132, 831284?\n\"Answer: w**3 - 17*w + 830908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, r: 6}. What is prob of sequence rr?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110486023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 8 - 6)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/15 - (-2)\/(-3)*-1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-16 - (-25 - -13))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:54 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x**4 + 58076690*x - 200948704?\nAnswer: -4*x**3 + 58076690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157102344?\nAnswer: 2, 3, 7, 311711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2680 = 2*j. Let l = j - -6666\/5. Find the common denominator of 121\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2 - 6. Let y(u) = u - 2 - 2*u**2 - s*u + 2*u + 3*u**2. Let w(m) = 4*m**2 + 3*m - 7. Calculate -2*w(p) + 7*y(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:14 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 904 and 413844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/((y\/y**(-43))\/y))\/y)**(16\/9))**(-4\/15))**(-2\/19))**27 assuming y is positive.\nAnswer: y**(-5504\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-38)\/(-190)*60\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 307373193 by -3.\nAnswer: -102457731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*p**4 + 14*p**4 - 6803 + 6841 wrt p?\nAnswer: 316*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/21*-3*1. Let m be -12 - -16 - (-2)\/k. Suppose m*c = 5*w + 390, 5*c - 3*c + w - 150 = 0. What is the greatest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269324309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110 (base 2) in base 14?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 148887859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**5*u*u)\/u**(-2\/69))\/(((u**(-1\/8)\/u)\/u)\/(u\/(u*u**13))))**(9\/14) assuming u is positive.\nAnswer: u**(-4713\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryr when three letters picked without replacement from iirryyirhyihrirrhhr.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -6 - 5*h - 3\/2*h**2. Let a be j(-3). Solve 16 = 4*g, a*g - 5 - 7 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 54*h**2 - h. Let t be s(1). Suppose -2*g - t = -5*o - g, -o = 2*g - 4. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -45 + 145*q - 58*q - 2. What is the hundreds digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r + c, 0 = 2*c + c. Suppose r*h + 40 = 236. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497879 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: 74 + (40 - (33 + (66 - 25)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/475 or -0.3755?\nAnswer: 2\/475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96188 + -32482. Let m = 113319 - j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/216 - 230\/(-3105). Which is the fourth smallest value? (a) -1.3 (b) 1 (c) 30 (d) 1\/2 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 1 + (sqrt(208) - (1 + sqrt(208))) + sqrt(208) + 2 + (3*sqrt(208)*-2)**2 + 4).\nAnswer: 8*sqrt(13) + 14996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let z(y) = 2*y**2. Let x(u) = -2*u + 15. Let a be x(6). Let d(t) = a*v(t) - z(t). Let j(k) = -k**2 + 2*k**2 + 2*k**2. Calculate j(d(i)).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, 4, 16, 32, 52, 76?\n\"Answer: 2*m**2 + 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -127*b - 2. Let s(d) = 4*d + 11. Let h be s(-3). Is g(h) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (67 + -23 + -67)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7*h**2 + 2 + (0*h + h + h)*(2*h + 0 + 0) - 2*h**2 + 0 + 0.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and -0.1292.\nAnswer: -0.2392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*d, 0*h - 2*d + 44 = 2*h. Suppose -165 = -4*f + s, 4*s - 112 = -3*f + h. Calculate the remainder when 57 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + 171.464?\nAnswer: 260.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2853450 and 300?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8 + 5) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 117.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 173*w**2 - 170*w - 344.\nAnswer: -(w - 172)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/43 and -85\/122.\nAnswer: 5246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, t: 4}. What is prob of picking 1 g and 3 t?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6737929us to milliseconds.\nAnswer: 0.0006737929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11754 is divided by 1416.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/k*k*k\/((k**(-2\/3)*k*k)\/k))\/((k\/(k\/k**(-2)))\/(((k*k**(1\/2))\/k)\/k*k)))**(-5))**(-48) assuming k is positive.\nAnswer: k**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -1 - (-4 + 6 + -20).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2260 + 1846 + 3004)*(4*q**3 - 4*q**3 + q**3)*(3*q - 5*q + 5*q) as m*q + a*q**4 + o*q**2 + x*q**3 + k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/842?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - -2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 1247. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 61*v - 68. Let t(x) = 21*x - 24. Let q(s) = -6*j(s) + 17*t(s). Let g(l) = 39*l**2. What is g(q(d))?\nAnswer: 3159*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/180*126\/105?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 364 and 2808.\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiijiiijiiiiiiiiiiji. What is prob of picking 1 i and 2 j?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2514, -83, -1707 in decreasing order.\nAnswer: 0.2514, -83, -1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-5)*(-1)\/3*30. Let j(b) = 9*b - 27. Let o be j(d). Let u = o + -52. Calculate the remainder when 30 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112510832?\nAnswer: 2, 7, 1004561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -1061576439991.\nAnswer: -1061576439991.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 964, 957, 936, 895, 828?\n\"Answer: -u**3 - u**2 + 3*u + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 - 625*g**4 - 5850*g**3 - 11450*g**2 + 5855*g + 12075 = 0. What is g?\nAnswer: -115, -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d22 (base 14) to base 6.\nAnswer: 142430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 232982006 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 34420*p + 1209600.\nAnswer: -4*(p - 35)*(p + 8640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7834369 and -0.2.\nAnswer: 7834368.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 2*j**2 + 2*j + 2*j - 2*j - 3 - 7*j. Suppose -3*s = 15, -3*o + 34 = -s + 5. Let l = -11 + o. Calculate k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 + 2984*k**4 + 68224*k**3 - 492416*k**2 + 688128*k = 0. What is k?\nAnswer: -28, 0, 2, 4, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(-2 + sqrt(1100) + sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100)))*-4 + -2))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 150963 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t - 4*m + 12, 2*m = -2*t + 6. Suppose 3*s - 41 - 49 = t. Let d = -17 + s. Solve -w + 2 = -f + 1, 2*w = -f - d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 7*q - 1. Suppose 3*n = 3*m + 12, -1 = -2*m + 3*n - 14. Let x be 2 + 2 + m - -1. Let s(o) = o. Calculate x*s(p) + d(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 5*u**2 + u**2)*(u + 0*u + 2*u) - u**2 - 2*u**3 + u**2.\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64212475.41642128 - -64212480. Let k = z + 11.41642089. Let o = 16 - k. What is o rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 720 + -1199. Let s = l - -491. Let o(z) = -z**2 + 13*z + 9. Calculate o(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvvvvvvv. What is prob of sequence vvqv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234.65 - -241.37. Round n to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113101 - 13102330?\nAnswer: -12323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/3)\/(-3*6\/48). Is q bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*h + 115. Calculate the least common multiple of h and 1.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/9789 and -13\/66.\nAnswer: 215358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*d**2*u - 659*d*u - 719717*u with respect to d.\nAnswer: 234*d*u - 659*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*k**3 - 504*k**3 + 249*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - f + 13 = 5*j, -j + 4116 = -f + 4111 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -232\/652943 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/3*2. Suppose -3*x = -4*c - 6, -3*x - 15 = 2*c + c. Sort d, -4, x in descending order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*g + 38, g - 2*g + 10 = z. Suppose -z*i + 35 = -37. Suppose -1328 = -i*n + 184. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 0 + -10 + (-41 - -19)\/((-16)\/8).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s. Let c(i) = -2*i. Let f = -2 + 5. Let u(r) = -3 + 3 + 0 + f*r. Let a(g) = -4*c(g) - 3*u(g). Give 6*a(k) + t(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npatztzp. What is prob of picking 2 z and 2 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n**2 - 5*n + 8. Let c be ((-64)\/(-8))\/(2\/5). Let d = c - 12. What is the remainder when q(6) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8122 + -0.0142708839?\nAnswer: -8122.0142708839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*1668\/2224\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/18 - 10\/15. What is the third smallest value in t, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*t - 29 - 62 - 182. Solve -5*k - 3 = -4*d - 31, -t*k - 14 = 2*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 43393 = 4*i, -3*i + 2*x + 18354 + 14192 = 0. What are the prime factors of i?\nAnswer: 2, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -283*u**6\/24 + u**4\/3 - 11*u**3\/3 - 531*u**2 + 2. What is the second derivative of l(y) wrt y?\nAnswer: -8490*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5 (c) -1\/102 (d) -0.3 (e) -29 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/93 + 61\/1395. Let c(n) be the second derivative of 1\/18*n**4 + 0 + 1\/63*n**7 + 0*n**2 + 0*n**3 - o*n**6 + 2*n - 1\/30*n**5. Factor c(w).\nAnswer: 2*w**2*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 132. Let o = -1\/28 + -47\/252. Put 4, o, f, -4 in ascending order.\nAnswer: -4, f, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:13 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -86.5. What is the biggest value in 0.3, n, -0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 406*m + 26680. Determine d(-60).\nAnswer: 2320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y - 3. Suppose -6 = 2*k - 0. Let x be m(k). Solve x = -2*g - 6 + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*x = -3, -4 + 31 = 5*y - 4*x. Suppose -2*q + 3*c = q + 21, -5*c = y*q + 5. Let z be (15\/20)\/(q\/(-20)). Solve -z*a + 7*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -806, -1\/4, -3, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219405776 + 73135248 + 73135263 + d**3 + 73135265.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 6128?\nAnswer: 6127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 8, -14, 34 in increasing order.\nAnswer: -14, -4, -3, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 18, 37, 74, 135, 226, 353?\n\"Answer: v**3 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(-y + 2*y - 2*y)*(75 - 29 - 288).\nAnswer: 968*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*g + 107, -144*r = -147*r - 6*g - 162 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20979*x + 111364.\nAnswer: 20979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - 7*q**2 + 9*q + 4. Let p(d) = 3*d**3 - 9*d**2 + 10*d + 5. Give -3*p(n) + 4*v(n).\nAnswer: 3*n**3 - n**2 + 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5622, -5625, -5628?\nAnswer: -5631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 - 5*u + 1. Let m be a(5). Solve -1 - 4*x**3 + m + 11*x - 9*x + 2*x**5 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 34 = -40*d - 6*w, -2*w = 4*d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132262547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xxxqxxxxxxxxxqxqxqq?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from txdtdtdddtdtdtdxd?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -6)*(-51)\/(-68). Suppose 4*g + 24 = -2*p + p, j*g + 15 = 0. Which is the closest to -2\/7? (a) -0.4 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106121562353 - -1?\nAnswer: -106121562352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 232808589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 + 24*a - 1. Let z be g(3). Let r(i) = -3*i + z*i**2 + i + 25*i**3 + 10 - 24*i**3 + 6*i - 10*i**2. Determine r(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h - 7. Suppose -143 = -4*x + 201. Suppose 0 = -5*r - 31 + x. Calculate the remainder when z(-5) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:13 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 12*v - 31. Let j be ((-6)\/5)\/((-9)\/60). Let f be h(j). Is 16 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose -30 = -5*q + 2*y, -11 - 1 = 2*q + w*y. Calculate the remainder when 13 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/112 + (124\/14 - 9)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7171\/1675 or 0.08?\nAnswer: -7171\/1675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-132849)\/(-15))\/(36\/40)*9\/6?\nAnswer: 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 1, q: 2, p: 4, a: 3}. What is prob of sequence ppaa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10266*l*o*s**2 + 3*l*o*s - 2*l*o - 13*o*s**2 - 6708*o wrt l?\nAnswer: 10266*o*s**2 + 3*o*s - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 73 + 53 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -6*g. Let u(j) = 2*j - 1. Let i be u(g). Suppose -2 = 2*w + 2*t, -2*t - t - i = 2*w. Solve 0 = w*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 17*m**2 + 32*m + 85. Let p be q(-7). Solve -p*z = 112*z - 240 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (134\/(-8))\/((5 - 1)\/(-16)). Suppose m = x + 17. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 17*m = -12*m + 31, 5*x = -2*m + 14. Suppose -x*t = 2*l + 70, 3*t + 6*l - 10*l = -80. What is t rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/725, 1.\nAnswer: -2\/3, -1\/725, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 1209*s**2 - 1188*s - 7236.\nAnswer: -3*(s - 402)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-15) - 4)*1. Is c != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:03 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3164\/477 - -10\/53. What is the common denominator of z and (27\/36)\/(6\/68)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.66, -4\/7, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 24. Let y be p(-28). Suppose 168 = 6*v - y*v. What is the highest common divisor of 48 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 66, 95, 124, 153?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 6*u**2 + u + 1. Let y = 9 - 15. Give r(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 28 = -5*u - 0*g, g + 24 = -5*u. Let o(y) = -7*y**3 - 6*y**2 - 6*y - 24. Is o(u) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*y**4\/5 - 83*y**3 + 49449*y**2\/5 - 6997*y - 14042\/5 = 0. What is y?\nAnswer: -119, -2\/7, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -788 - -785. What is the second biggest value in 2\/17, w, 6, -1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3456)\/448)\/(24\/56).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 762618785 - 0.2?\nAnswer: 762618784.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -3*x, -x + 3 = w - 2*w. Suppose -78 = -5*s - x*y, 0 = 4*s - 4*y - y - 46. Let t = 291 + -235. What is the highest common divisor of s and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-4))\/w)\/(w**(3\/5)*w))**(-14)*(w\/(w*w*w\/(w\/(w**1*w))))**(2\/25)*(w**(-3)\/w)\/w**2 assuming w is positive.\nAnswer: w**(1804\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -16*t - 55 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.211809 - 4273543\nAnswer: -4273542.788191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + ((-2620)\/(-48))\/(-5)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3\/5 + 27*u**2 + 654*u\/5 - 1872\/5 = 0 for u.\nAnswer: -39, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 6. Let b be (6 - 3)*20\/12. Let w(k) = -3*k + 5. Determine b*w(m) + 4*j(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*h**3*i + 3*a*h**2 + 372*h**3*i - 2*h*i - 37 wrt h?\nAnswer: 12*a*i + 2232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 + -186. Let q be (-8 - 1855\/(-230))*x. Which is the second smallest value? (a) 1\/6 (b) 0.2 (c) q (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*8 + 6 + -8. What is the units digit of (-3 + 4)\/(y\/290)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131897 = -692*m + 648*m - 337. What is the greatest common divisor of 260 and m?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-124*(-2)\/(-24))\/(-5))\/((-111)\/666).\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -18496.7 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:42 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 12*i**2 - 125*i + 1050. Let v be c(10). Let q(t) be the first derivative of 6 - 2\/3*t**3 + 15*t + v*t**2. Let z(n) = 2*n. Calculate q(z(f)).\nAnswer: -8*f**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 157237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 27. Let x(r) = 4*r**3 - 80. Let o(b) = 17*p(b) + 6*x(b). Differentiate o(c) with respect to c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*((sqrt(128)*1*-6)\/(((sqrt(252)*-1 - sqrt(252))\/sqrt(9))\/sqrt(7)))**2.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 9. Let q(k) = 0*k**2 + 4*k**2 + 2 - u*k**2 + 2*k**2. Determine q(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m - 52 = 0. Let f = 57 + m. Suppose -f - 39 = -5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t - 13. Let k be 4\/14 + 19\/7. Suppose -k*y = -y + 12. What are the prime factors of p(y)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((-2)\/10). Let g be (4\/2 - 3)\/(6\/(-30)). Factor -f*c**2 + 3*c**4 - c**4 - 2*c**5 + c**g + c.\nAnswer: -c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*s - 3*s - s)*(-2 + 3*s + 2) - 1 + 1 + 3*s**2)*(-2 - s + 0*s + 2*s) as o*s + t*s**2 + d + p*s**3 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -269\/116 - -60\/29. Put -1\/12, 1\/65, x, 5 in descending order.\nAnswer: 5, 1\/65, -1\/12, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/17*13995\/27990\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 22 = -z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*l = 24, -2*q + 4*l + 362 = 338. Solve -8*d - 4 = -3*y - 10*d, q = -y - 3*d - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 244?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-4)*40\/16. Let i(s) = s**3 + 5*s**2 - 9*s - 1. Let d(t) be the first derivative of -2\/3*t**3 - 2 + 2*t**2 + 0*t. Calculate y*d(q) + 2*i(q).\nAnswer: 2*q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 66.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1)**(-2\/107)*(n*n**(-2\/21)*n)**(-1\/32) assuming n is positive.\nAnswer: n**(-871\/8988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 10961451575 and -132.\nAnswer: 10961451443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -44, -84, -136?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -15, -67631, 2.\nAnswer: -67631, -15, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 5*n = 0. Suppose n = 3*i - 3*o - 786, 5*o - 11*o = 30. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 198361.\nAnswer: 595083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 6 (b) -1738 (c) 0.1 (d) 2\/3 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13494 at least as big as -13492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 20. Let q be c - -2*3\/(-6). Let t(d) = -d**2 - d + 4. Let r be t(0). Solve w + q*w + r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000132048834 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115259861 plus 20?\nAnswer: 2115259881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 25536*p. Let d(x) = 3*x. What is d(w(y))?\nAnswer: 76608*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4713, -3\/8, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37684747 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1658 + -1613. Solve 0 = -15*z + 30 + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/379, -48, -0.04, -0.2, 2 in ascending order.\nAnswer: -48, -0.2, -0.04, -1\/379, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1667086355 - 1666643098.80004. Let h = 443138.2 - i. Let f = h - -118. What is f rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537821943 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o - 3. Let h = -104 + 104. Let j be q(h). Let m(b) = 2*b**2 + 4*b + 3. Calculate m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01536852 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.329615 - 9.270875. Let z = -70 + 59.4. Let n = h - z. What is n rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 3*j + 3. Let y be l(1). Suppose -3*i + 5*a - 6*a + 8 = 0, y*i - 5 = -4*a. Factor -109 + i*m - 3*m**3 + 54 - 3*m**2 + 58.\nAnswer: -3*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/2 + y**3 - 7*y. What is the second derivative of r(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 330043*m**3*v + 11*m**3 + m**2*v**3 + 5495*m**2 - 2*m wrt v.\nAnswer: 330043*m**3 + 3*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 13*n**2 + 24*n + 23. Let c be h(11). Let m = c + 12. What are the prime factors of 22\/(-2 - (-120)\/m)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 86*n**2 + 24 - 9.\nAnswer: -86*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.2. Let q = -0.1 - t. Let k = 2.67 - 2.47. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*b = 20, -b - 10 = -3*q - 0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 27*o - 0*o. What is the lowest common multiple of o and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 12270?\nAnswer: 282210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75870166 and 382.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 28*z + 2. Let l be t(-13). What is the units digit of (2 - 906)*-3*(-4)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5 = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-72)*-10 + -10*5\/300?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*d**2 - 514*d**2 - 1451*d**2 - 1510*d**2 - 591*d**2 - 401*d**2.\nAnswer: -4122*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 656\/(-48))\/(8\/(-12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rostl. Give prob of picking 1 o and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-1) + 12 + 147 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411203 greater than 2411200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 5*f + 0 - 1 + (-3 - 1 + 6)*(f - 2*f + 0*f).\nAnswer: -7*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-93)\/(-92) - 1)*2*-7354. Let j = t - -160. Is j less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a99 + -119?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20279071, -20279066, -20279061?\n\"Answer: 5*c - 20279076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 7. Is y(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832306.9 litres in millilitres?\nAnswer: 832306900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116057 is divided by 170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*a - a - 22 = 0, a + 24 = 4*k. Let n = 10 - k. Suppose 10*s + n*s = 1040. What is the greatest common factor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4556)\/(-1139) + (1 - (-420 + 0 + 0)). Solve -48 = k*f - 441*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 10) to base 4.\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 6. Let d = 23 - 29. Give r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (4 - 1))\/(-24). Let l = 23\/120 - c. What is the nearest to 1 in 1\/9, l, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 4. Let w be j(5). Let c(y) = 14*y**2 + 46*y + 41. Let i be c(-1). Solve 0 = -w*l + i - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 67 + 308 = 0. What is the remainder when 85 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 + -3 - 0. Suppose d = x + 3 - 27. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/25*(-472)\/6. Let j = s - 48. Which is the third smallest value? (a) 0.3 (b) -2\/9 (c) j (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 342. Let n be a(34). Let d = 0.13 + 0.07. What is the second biggest value in 1\/12, d, n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + b + b + (-2 + 2 + 2*b)*(14 - 3 + 0) + b + 3*b + b)*(3*b**2 + 2*b**2 - 2*b**2) to the form s*b**2 + t + w*b + l*b**3 and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111684894855 minus -4?\nAnswer: -111684894851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 60 = 3*b. Let a = 23 - b. Suppose 4*d - 16 = -2*j, 3 + 1 = d + 2*j. Let u(t) = 2*t + 4. Let f(k) = -6*k - 11. Determine a*u(q) + d*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w - w**2 - 1\/12*w**4 + 0 - 3\/2*w**3. Let k = 24 + -30. Determine a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*p + 6, -21*l + 18*l = p + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 2*m**2 + 3*m - 3. Let i be y(2). Let l(g) = g**2 + 2*g + 2. Let z be l(-2). Factor 2\/3*f**i - z - 2\/3*f**2 - 10\/3*f.\nAnswer: 2*(f - 3)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 17. Let v(m) = 6*m - 17. Let y(p) = -6*q(p) - 7*v(p). Let j be y(2). Let z be (-17501)\/j - 6\/(-30). What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 0*k = 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y + 1. Let b be t(-1). Suppose 2*q - b = -3*q. Suppose 0 = -q*g + 4*g - 12. Calculate the remainder when 16 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 2 = 18*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z - 62*z + 19*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 43*m - 43*m + 6*m**3 wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/29, 2\/11, 2 in decreasing order.\nAnswer: 2, 24\/29, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 14, 21, 32, 47, 66?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8799813?\nAnswer: 3, 11, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*9)\/(190\/(2394\/(-126)))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(-34))**(2\/23) assuming v is positive.\nAnswer: v**(136\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 889 (base 10) in base 16?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/6 + 3163*x**3\/6 + 1582*x**2\/3 = 0.\nAnswer: -1, 0, 3164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -1331. Suppose -4800 = -15*t - y. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2238 - 386 = 2*l, s = -3*l + 1853. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/207 and 28\/15405.\nAnswer: 1062945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8158*w. Let j(f) = -20158*f**2. Determine m(j(y)).\nAnswer: -164448964*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + 12*s**2 - 5 - 1 to d*s**2 + l + u*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/333, 2\/39, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55633212 divided by -13908303?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 5, 0.7, -5, -0.0197?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsu when three letters picked without replacement from zhzhszhshsszusz?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 - -322. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72.4 - -71. Is -1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6*x = -2*x - 8, -5*b = -x - 21. Let m be 12\/10*10\/b. Let a be 4 + 1 - 12\/4. Solve a*y = -2*w + m*w - 7, w - 1 = -y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 6*h + 1. Calculate u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6940243763392 and -0.53?\nAnswer: 6940243763392.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (13 - (11 - -20)) + (4 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 238 - 229. Let d = -5 + 8. Let s = -1069\/7 - -153. Sort s, z, d in ascending order.\nAnswer: s, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/7 (b) 30 (c) -16 (d) 0.1019 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*50\/125.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 18 = w + 10*k - 8*k, -4*k + 0*k = 30*w + 134 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-590)\/42 + 4*112\/32\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*b - 2*h, -2*b + 7*h - 2*h = -23. Let q be -4 + (-2)\/b*-296. Calculate the greatest common factor of q and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11056 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -621, -0.1, 1\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-15))\/(18\/(-30) + 1)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 4444 + 4004 = 0 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 57. Suppose -3*y + 176985 = t*r, 4*r - 5*y = -2*y + 236015. Round r to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 - 4))*(-56 + 55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3618, -4235, -4852, -5469, -6086, -6703?\n\"Answer: -617*c - 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.01758 + -0.91342. Let d = 85 + -154. Let y = d - s. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + (38 - 49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 520 or -13\/66?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/15)\/((-4)\/18). Suppose 23 + 595 = 5*f - 3*k, -12 = -x*k. Suppose -f = -b - 2*b. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6376 + 76585\/12. Let b be (-2)\/(-27) - (-4029)\/1377. Calculate the common denominator of y and -1*b\/((-192)\/284) + -5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 150 + 435 = 0. Let y = h + 587\/5. Let j = -1 + -2. Sort y, 0.5, j in decreasing order.\nAnswer: 0.5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19340 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (4 - 1))*-16. Let i = 34 + y. Sort -2, -5, i in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 442\/(-6) - (-3)\/(-9). Let w = -299\/4 - b. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80783, 646446, 2181841, 5171834, 10101291, 17455078, 27718061?\nAnswer: 41375106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 29*j - 193. Determine h(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 20*s + 293448 = 0. Let k = -1048 + s. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1, 3, -2, -1520 in ascending order.\nAnswer: -1520, -5, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-75) - -1*6\/5. Let c(p) = -185*p**3 + 615*p**3 + 575*p**3 + 2 - 1 + p**2. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 67984.101\nAnswer: 27193.6404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4141, 1\/1610, -1\/6 in ascending order.\nAnswer: -4141, -1\/6, 1\/1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13244 + 0.13. What is i rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (118 - 371215\/3120)*-48?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a factor of 358983451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let l(r) = 9*r - 6. Let p be l(-1). Is 17 a factor of 12 + p + 61\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 2561*n + 351*n + 44 to the form i + r*n and give r.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/(-1)*(30\/8 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2104604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08352 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.01596 times -104.82\nAnswer: -1.6729272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16534, -16546, -16546, -16528, -16486?\n\"Answer: d**3 - 19*d - 16516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 - 307. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 115, 413, 1047, 2143, 3827, 6225, 9463?\n\"Answer: 21*t**3 - 21*t**2 + 4*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k\/(k*((k*k*k*((k**6\/k)\/k*k)\/k)\/k)\/k))\/k)**(-1\/43)*(k\/k**5)**(-4\/3))**(-3\/5) assuming k is positive.\nAnswer: k**(-140\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.7 to zero decimal places.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 35. Let u be y(2). Suppose x - 45 = -4*f, 153 = 3*x - f + 4*f. Let p = u + x. What is the highest common factor of 80 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j. What is the units digit of o(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 73 = -4*r + 2*w - 66, w = -5*r - 52 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57553356 rounded to 2 decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3*n**2 + 2*n**2)*(16*n**2 + 173*n - 2*n**3 - 87*n - 87*n).\nAnswer: -6*n**5 + 48*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50675004 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/132)\/(2\/(-16)). Let b = 7 - 7. Let q be b*((-10)\/3 + 3). Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -g - 4*g + 21, -4*g = -j - 9. Solve 2*n + 12 = 5*b, g*n + 2*b = -2*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001103 rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from wsrgrsggwguwbsrgsw?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (-8)\/(-12)*-123. Suppose 28*d - 55 = -j + 32*d, -2*j - 4*d + g = 0. Solve 0 = 7*c - 12 + j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659?\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + 0\/(-2)*1. Is p\/2*(-11 + -435) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10*j = 4090. Let o = 9016\/11 + j. Factor 8\/11*n - 4\/11*n**4 + o*n**3 + 0 - 24\/11*n**2.\nAnswer: -2*n*(n - 2)**2*(2*n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 3*k**2 - k**3 - 4 - 2*k**2 + 3*k**2. Let b be i(-3). Let m(w) = -3*w + 2. Let h be m(-1). Solve -h*z - 5 = 5*v, 0*v - 3*z = -b*v + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + 7*s**2 - 25*s + 4. Give d(5).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215816 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: Suppose j = -5*a - 3*j + 35, 0 = 4*a + 3*j - 27. Suppose -2*i = -a*i + 2. Solve r = 5*c - 3*r + 3, 0 = 2*c - i*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11385?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2+-5038\nAnswer: -5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**3 - 2*t**2 + t + 7. Is j(-4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*n - 8, 0 = -5*n - 513*k + 510*k - 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189172 - 304763. Let b = o + 115657.0031. Let g = b + -66. Round g to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*x = -10, 2*j + 0*x - x - 11 = 0. Let a be ((-5)\/3)\/(6\/(-18)). Let h = j - a. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 - 17\/3)*807.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, l: 2, v: 2, y: 1}. Give prob of picking 1 v and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -1\/4, -4, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q + 5. Let d = -2 - -2. Let t be ((-9)\/(-6))\/3 + d. Is t equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -394.92.\nAnswer: -18166.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.07 + 2.2. Let i = h + 0.17. Which is the biggest value? (a) i (b) 6\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 5*y - 12. Let n be k(7). Suppose -4*l = n*l - 48. Calculate the highest common factor of l and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*c + 4 = y - 1588*c, 0 = -3*c + 6 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 15. Let v be j(-6). Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 + 9)*4\/14. Are 0.11 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -7*l + 4*l - 14 - 12, -23*x + 2*l = 25*x + 772 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 1288 = 239*u - 5588 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.1 plus -2241.725?\nAnswer: -2140.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0*d**5 + d + 0*d**3 + 0 + 1\/4*d**4 + 0*d**2 - 1\/10*d**6. What is t in b(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 53080*r**2 - 534*r - 3. Is s(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - x - 0, 3*g - 16 = -5*x. Solve -4*j + g = -1, 4*j = -4*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + z. Calculate the remainder when a(-1) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313606400 to the nearest 100000.\nAnswer: 313600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25510 - -1025?\nAnswer: 30535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h - 47. Let a(b) = -62*b + 140. Let z(g) = 4*a(g) + 11*k(g). Determine z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, h: 3}. Give prob of sequence hhu.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 59, 101, 181, 311, 503, 769, 1121?\n\"Answer: 2*i**3 + i**2 - i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2888411, -5 in ascending order.\nAnswer: -5, 0, 2888411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.6276 weeks in days?\nAnswer: 4169.3932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004986336 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3 (c) 1.4 (d) 2\/5 (e) -5 (f) -0.103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 3 - 6) + -12 - -18 - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.96 + -58. Let j = -0.04 - v. Suppose 2 = 2*g + 6. Which is the third smallest value? (a) j (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365720030?\nAnswer: 2, 3, 5, 2791, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 683\/2 and 342 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7415 + -4167. What are the prime factors of r?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*b - 3 = 7, 3*b = -4*y + 20. What is the third derivative of 7*w**2 - 13*w**2 + 15*w**2 + 11*w**3 + 23*w**2 + y*w**6 wrt w?\nAnswer: 600*w**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1315 and 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1397*b + 301784. Determine h(216).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-9))\/(20*9\/(-162))\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/5, -7041.6, 3\/4, 18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2274, 4538, 6800, 9060, 11318, 13574?\n\"Answer: -c**2 + 2267*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r**3 - 142934*r**2 + 161796232*r - 64695624 = 0. What is r?\nAnswer: 2\/5, 1239, 13054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -14, 5585, -3, 5 in decreasing order.\nAnswer: 5585, 5, -3, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 1 - 20 + 31635*h.\nAnswer: 31635*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from chchchchchhhcc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -6789\/7 and -970 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + s - 2*s + s + 0*s + s + (-3 - s + 3)*(-5 + 2 + 4))*(0 + 0 - 1).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 2.93. What is the smallest value in 0.03, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -480*q - 1866 - 4733 - 8281 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76795272.\nAnswer: 2, 3, 967, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 102?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 23*p**2 + 24*p + 48. Let r be v(-22). Suppose -5*k + 29 = 2*g, 0 = r*k + 9 - 13. Solve 0 = -5*h + h - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 447 = -113*k + 4535. What is the highest common divisor of k and 23346?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19644 and 16370?\nAnswer: 98220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 22 - 20 - 23*q + 5*q.\nAnswer: -14*q - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5640 and 43220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**7\/42 - n**3\/3 + 5*n**2. Differentiate z(r) wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/4 - m**3 + m**2. Let k be 8\/20 + 54\/(-10). Let v be s(k). What is the greatest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 40. Let t = 0 + -3. Sort t, 4, g in decreasing order.\nAnswer: g, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 4. Let j(q) = q + 5. Let u(o) = -3*f(o) + 2*j(o). Let g be u(-5). Solve -15 = g*b + 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356074 (base 8) to base 12.\nAnswer: 5a678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(-2 + (sqrt(396)\/(sqrt(55)\/sqrt(5)))\/(sqrt(768)*2) + 1).\nAnswer: -2 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5376 by 6.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*r - f - 24, -21 = -4*r + 3*f. Suppose -k = -2 + 5, -2*k = 3*t - r. Solve -3*w = -4*c + 7*c, 5*c - t*w = -8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*d = -14620, -6*d + 4*d + 29264 = 4*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -10352 + 134578\/13. Let a = -15 - -1. What is the biggest value in a, 1\/8, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 1\/16*a**2 + 1\/4*a - 28 - 1\/24*a**3. What is u in i(u) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 smaller than -163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 781.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 10, y: 2, k: 2, n: 3, m: 2}. What is prob of picking 1 a, 1 m, and 1 y?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -110111?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -217741 + 1521403\/7. Let q = 82039\/28 + r. Let n = -2548 + q. Find the common denominator of n and 101\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(170)*2 + (sqrt(170) - -1*sqrt(170)*-1) + sqrt(170))\/(-4*2*sqrt(640) + sqrt(640)).\nAnswer: 9*sqrt(17)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -0*s - 42. Let o(m) = 2*m**2 - 15*m + 3. Let g be o(s). Let h be 4 + 0 + g\/(-4)*-4. Is h != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4 - 4 - (-2 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 + 2*w + 4. What is h(3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2. Let n(f) = -223*f**2. What is u(n(l))?\nAnswer: 248645*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + 71*v + 158*v - 48*v)*(0 + 13*v + 0) + (-v**3 + v**3 - v**3)*(2*v + 3*v - 3*v) to d*v**2 + q*v**3 + g*v**4 + t + f*v and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96965.4us to seconds.\nAnswer: 0.0969654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 6\/13 (c) -5 (d) -32 (e) 3 (f) -3\/55 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {o: 1, m: 1, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00162 + 0.05962. Let s be 32\/(-14) + 2\/1. Is i < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1802259130 to the nearest integer?\nAnswer: 42453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:02 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3102)\/(-44))\/((-84)\/56).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5484 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 8 = 0. Solve 3*a = -5*c - 19, 2*c = -s - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 334.\nAnswer: 14\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890142 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1213 - 724. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136103 (base 7) to base 16\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267043677?\nAnswer: 3, 89014559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tugattg. What is prob of sequence gtt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 = -0*c - c, 18 = 4*a - c. Is a at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 135.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 8*k**2 + 12*k - 3. Let n be f(7). Suppose n - 32 = q. Solve -4*s - s = -2*c - 23, q = 3*s - c - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 + w + 4. Let o be m(3). Suppose 50 = -2*q + 7*q. Let i = o + q. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/33345 and -85\/1881.\nAnswer: 366795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 856341092 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 333835970 to the power of 1\/2, to the nearest integer?\nAnswer: 18271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**2. Let u(x) be the second derivative of -x**6\/360 - 2*x**3\/3 + 40*x. Let k(q) be the second derivative of u(q). Determine r(k(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cktzzwtzztzwtckjz. Give prob of picking 1 j and 1 k.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67306 and 3212?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) 35 (b) -3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187.9029 - 186.7. What is s rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/10851 and -137\/3645936.\nAnswer: 3645936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 412 and 183649.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.605 + -7.495. Let x = k + 7.29. Put 2, 51, x in increasing order.\nAnswer: x, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q - 10. Let c(b) = -b. Calculate f(c(p)).\nAnswer: -13*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**3 + 0*g + 0*g)*(-7 - 16 - 4)*(-5*g - g + 5*g) to z + d*g + j*g**4 + t*g**2 + a*g**3 and give j.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18720*j**2 - 102*j**3 + 9353*j**2 + 9367*j**2.\nAnswer: -102*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21359466, -21359468, -21359472, -21359478, -21359486, -21359496, -21359508?\nAnswer: -21359522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.291 - 85.709. What is the third smallest value in g, 2\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a - 0. Let u = a - -12. Solve -2*c - 25 = -u*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 90 = -3*q. Let i = -3 - -1. Let w be (-48)\/(-22) + i\/11. What is the greatest common divisor of w and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466 + 334. Calculate the highest common divisor of b and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Let x be 2\/(-2) - (-6)\/a. Suppose 5*d - 3 = -18. What is the nearest to 2 in 4, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -692 + 694. Suppose 0 = o*l - 8. Which is the third smallest value? (a) l (b) 1 (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346859?\nAnswer: 3, 17, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/9 + 32*r**2\/3 - 56*r = 0. Calculate r.\nAnswer: 0, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*(-1)\/1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 714 + 2441 = -5*u, -p + 609 = 5*u. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d + 9*d - 3 - 9 - d. Give t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 4278?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e853 - -5?\nAnswer: 1e858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16315 = 2331*j + 52*k - 51*k, 2*j + 22 = k + 3*k for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8615*o**5 + 3*o**4 + 3*o**3 - 1090468*o wrt o?\nAnswer: 172300*o**3 + 36*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = 4*k + 132, -2*g - 132 = -4*k. Let v = 287 + g. List the prime factors of v.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394120.\nAnswer: 2, 5, 59, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -7\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 549375, 4395113, 14833543, 35161011, 68673863?\n\"Answer: 549391*h**3 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1193 - 684. Which is smaller: g or 510?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 10*q = 4*t - 32, 590*t - 4*q = 586*t + 64 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -1004152 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 21*z**2 + z - 13. Let w be b(-21). Let u = 38 - w. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1098288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 105\/12 - 16\/(-64). Suppose -5*d - 8 = -5*g + 7, d = -g + 5. Let z = r - g. What is the second biggest value in -7, -2\/15, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - 4) + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85129, 170224, 255319, 340414, 425509?\nAnswer: 510604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(5*c**5 - c**5 - 2*c**5) + 4*c - 1897*c**5 + 2294655*c**4 - 2294655*c**4.\nAnswer: -1895*c**5 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 10:55 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:29 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**3. Let u(m) = 3*m**3. Suppose -5*o + 2*q - 6 = 0, -q = -4*o - o - 8. Suppose 30 = -14*b + 8*b. Determine b*u(v) + o*l(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(27\/((-1134)\/(-56))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + u. Let f(c) = -4*c**5 + 12*c**4 + 20*c**3 - 28*c**2 + 16*c. Let n(p) = -f(p) + 16*r(p). Solve n(w) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1189451, -2378899, -3568347, -4757795?\n\"Answer: -1189448*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 332*1\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14156 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*u - 10. Solve 2*z = i + 13, -z + 3*z = u*i + 25 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 14. Let s be a(11). Let l = -6 - -8. Sort s, l, -5.\nAnswer: -5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.7. Let y = u - -0.2. Suppose 5*h - k - 6 = k, -2*k = h + 6. Which is the closest to h? (a) 2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c + -2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -3\/2, 6, -1.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257783?\nAnswer: 257783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let a = -749 - -763. Let b(n) = -26 + a*n - 5*n + 22 + 11 + 5*n. Calculate d(b(j)).\nAnswer: -196*j**2 - 196*j - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 4*s = 512, -5*l - 5*s + 690 = 0. Calculate the highest common divisor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 73*p**2 - 2*p - 85*p**2 in the form s + r*p**2 + b*p and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -0.5, -1270 in decreasing order.\nAnswer: 3\/8, -0.5, -1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394 and 8865?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvllqbbbcbv. Give prob of sequence vlqc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 14. Let j be m(-5). Let a(h) = 33*h. Suppose 48*v - 71 = -23. Calculate the least common multiple of v and a(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/15 + 1278*l**3\/5 - 1530*l**2 + 34406*l\/15 - 5096\/5 = 0 for l.\nAnswer: 1, 4, 1911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r**2 + 44*r**2 - 205*r**2 + 53*r**2 + 6*r**2 + 47*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124713243 + 124713297.000051. Let k = 54 - u. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 4:11 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43728779 divided by 43728779.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g**2 - 94*g**2 - 37*g**2 + (1 - 1 - g)*(-3*g + 2*g + 2*g) as z*g**2 + w + f*g and give z.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*v + 4 + 7, 4*v = -t + 15. Suppose -h = 6 - v. Let f(n) be the third derivative of -n**6\/120 - n**5\/60 - n**4\/12 - n**3\/3 - n**2. Give f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -614, -2259, -5468, -10763, -18666?\n\"Answer: -87*p**3 + p**2 + 3*p + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4)*32\/12. Let j = f + -6. Let c be (-6)\/(-3) + j*1. Solve c = -5*y, -l + 4 = -3*y + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(4) - (sqrt(64) - (sqrt(64)*2 - sqrt(64))))\/(((sqrt(60) - (1*sqrt(60) - sqrt(60)))\/sqrt(5))\/(sqrt(324)\/sqrt(6))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(2\/9)))\/k*k\/(k*(k\/k**7)\/k))**(-1) assuming k is positive.\nAnswer: k**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -202100?\nAnswer: 1\/202100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i - 1\/2*i**2 - 300001\/6*i**3 + 0. Let h be r(-1). Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 437*u - 158*u + 1677*u to the form g + x*u and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -4\/3*n - 5\/9*n**3 + 45 + 4\/3*n**2 + 1\/12*n**4. Solve s(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 2*w + 16. Let f(r) = -5*r**2 + r - 1. Let s be f(1). Let a be u(s). What is the highest common divisor of a and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6259, -6256, -6253?\nAnswer: -6250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3353 + 35 = -6*y. Suppose y + 2331 = 14*i. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**4\/4 + 3*o**3 - 7*o**2 + 8*o + 2. What are the prime factors of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9384 - 3.\nAnswer: 9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:59 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 12. Let f(j) = 5*j - 3. Let h(i) = -27*i + 15. Let q(a) = 22*f(a) + 4*h(a). What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4 + (-3*1*sqrt(1573) - sqrt(1573)))**2 + (-2 + (sqrt(52))**2*-2)*5).\nAnswer: -98616 - 1408*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*v = 313*v + 312*v + 3*t - 35, -t = 3*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/17 - (-196)\/357. Which is the nearest to -0.4? (a) v (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*x - 3*f, 2*x + 1057*f = 1054*f + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 6. Find the third derivative of 3*g**2 + 3*g**n + g**6 - 2*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0 - 7\/6*y**3 + 0*y + 1\/24*y**4 + 2*y**2. Calculate i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(187))\/sqrt(11)*-6.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45392420, -45392418, -45392416?\n\"Answer: 2*g - 45392422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*l**2 + 23*l**4 - 130*l**2)*(-5 - 13 - 3)*(0 - 2 + 4) to v*l + d*l**3 + b*l**2 + x + s*l**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1246 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, 1, 112?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5154 or -15678?\nAnswer: 5154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 26 = 3*l - 0*z, 4*l = 3*z - 46. Let p be (-25)\/l*12\/(-10). What is the common denominator of 73\/12 and -4 - ((-393)\/36 - p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -27*p - 208 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*p - p = -9, -9 = -4*g - p. Suppose 5*u - g*u = -12. Which is the nearest to -1\/2? (a) -0.5 (b) u (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-584)\/576 + (-24)\/(-1728). Let k = 2 - 2. Sort -3, k, s, 3 in ascending order.\nAnswer: -3, s, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170603?\nAnswer: 170603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, q: 13, i: 3}. Give prob of picking 2 i and 1 o.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knsn when four letters picked without replacement from pnjpknnjsn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/((-33)\/66).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1\/3 (c) 4 (d) 9 (e) -3.23 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1511.5 + 1512. Let p = -3 + 1. Which is the nearest to -1? (a) h (b) p (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -z + 1, -4*z + g + 10 = -29. What is the greatest common factor of z and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (603\/99 - 6) + (-27784)\/(-22)?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 2*p - 28. Let s(l) = -2*l**2 + 2*l + 27. Let d(i) = -5*s(i) - 4*z(i). Let r(v) be the first derivative of d(v). Give r(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-30) - (-40)\/(-3). Let w(l) = 4*l**2 - 2*l - 15. Is w(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104.62 + 98.62. What is the smallest value in t, 1, 12\/5, -2\/5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23644 (base 7) to base 11\nAnswer: -4698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*y + 247*y = 1335 - 440 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 5*g**7\/42 + g**6\/6 - 3*g**5\/2 - 35*g**4\/6 - 55*g**3\/6 - 15*g**2\/2 + 9*g. Suppose d(a) = 0. Calculate a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 105 = -5*c + x, c + 3*x - 7 = 0. Let b be 3*c - 4\/4*1. What is the highest common factor of 26 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237034415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 735 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12584 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0, -0.1, 1, 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 2. Let u = 116 - 44. Suppose 15*s - 33*s - u = 0. Determine g(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56299 + 828?\nAnswer: -55571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.41. Let p = y - 0. What is the nearest to 6 in -1\/7, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -3.2. Put -1\/3, t, -0.4 in decreasing order.\nAnswer: t, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -23. Let q = t + -8. Suppose q*z + z - 6 = 0. Solve 0 = z*x + x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02382855 rounded to 4 decimal places?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 7*j**2\/2 + 146*j - 13. Let o be w(37). What is the highest common factor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140, -1132, -1110, -1068, -1000, -900, -762, -580?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -259500 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(1 + w - 1 + (-3*w - 2*w + 2*w)*(0 + 4 - 5)) - 2*w + 2*w + w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171084, 342117, 513124, 684093, 855012?\nAnswer: 1025869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a**(-11)*a*a)*a*a)\/a))**(-31) assuming a is positive.\nAnswer: a**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = -12*m + 12*m + 102. Calculate the smallest common multiple of m and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3 + ((sqrt(196)\/sqrt(4))\/sqrt(7) + sqrt(7) - (4 + -1*sqrt(7))) - (-4 + (-4*1*sqrt(7) + sqrt(7) - -1*(sqrt(7) + sqrt(112)))))*4)**2.\nAnswer: 96*sqrt(7) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)\/(-1)*2. Suppose -2*y = 5*g - 35, g - 20 = -s*g - y. Suppose 0 = -5*i - g + 15. Solve p = -i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**(2\/29)*l)\/l)\/(l\/l**(-15)))\/(l**(1\/4)*l\/(l*l\/(l*l**(-18)*l)*l)))**(2\/31) assuming l is positive.\nAnswer: l**(443\/1798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18708482?\nAnswer: 2, 13, 719557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5519605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -450702 + -13?\nAnswer: -450715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.0254866 hours in weeks?\nAnswer: 0.119199325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 126*r - 8505. Calculate the remainder when 412 is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/4534 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 2 e when four letters picked without replacement from {e: 6, n: 3, r: 4}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = -0*q. Suppose 0 = 3*d - 5*i + 1 - q, -i - 13 = -3*d. Suppose 0 = -3*c + d*c - 24. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012323 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose 3*u - u - 74 = g. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4286 - -4290. Let z(q) = -q - 1 + q - q**2 - q. Let f(d) = -d**3 + 4*d**2 + 4*d + 6. Determine w*z(g) + f(g).\nAnswer: -g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89148091 or -89148094?\nAnswer: -89148094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4533\/27 + (-11)\/(-99). Suppose -174 = -o - r. Solve -o = -2*n - p - p, -5*p = 4*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98163762?\nAnswer: 2, 3, 61, 268207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 - 2*h**3 + 2*h**3 + (-6*h**3 + 3*h**3 + h**3)*(-4*h**2 + 4*h**2 - 4*h**2).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -593, -194, 203, 598, 991?\n\"Answer: -v**2 + 402*v - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 613 + -526. What is the highest common factor of j and 957?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**3 + 14*t**2 + 8*t + 3. Is o(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -2*h**6\/15 - 17*h**4\/12 - 115*h**2\/2 + h - 45. Differentiate k(y) with respect to y.\nAnswer: -16*y**3 - 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*(-248)\/20*25\/(-30)*-1 and -31\/1425.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1235200331 - 41?\nAnswer: -1235200412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 265850.\nAnswer: 1860950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 2*w + 12*w - 15*w - 15*w + 5 + 9*w.\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 96 = 39. Let n(o) be the first derivative of 5\/3*o**3 + 0*o - 9\/2*o**2 - t. What is the second derivative of n(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-9))\/(((-968)\/(-8))\/11)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -58. Factor 0*l + 5*l - 8*l + 10*l**2 + b*l - 12.\nAnswer: 2*(l + 2)*(5*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-23075)\/3550*2*1)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177 or 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23400 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*1)\/(191\/5348).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 47828240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3014051 and 12.\nAnswer: 36168612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 74. Suppose -5*d + 10 = -z*d. Suppose d*a = 5*r - 1036, 5*r - 804 = -3*a + 217. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 9) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.03 (b) 138 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/47 or 13299?\nAnswer: 13299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 276. Let z be c\/21 + 2\/(-7). Suppose z*t - 2*t - 19 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 1223 = -1259 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 56*c**3 + 61*c**2 + 158*c - 68. Let f(u) = 19*u**3 + 20*u**2 + 54*u - 24. Let r(z) = 17*f(z) - 6*l(z). What is the second derivative of r(h) wrt h?\nAnswer: -78*h - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = o - 5, 7 = 3*o + 4*l + 27. Suppose o = 3*g - 5*g + 32. Solve 4 - g = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**20*x**(-8) assuming x is positive.\nAnswer: x**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-2 - -1)) + 0 - (236 - 239)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 divided by -5?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.65564 - 241.03936. Let h = b - -241. Round h to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u + 67. Let b(f) = 7*f + 65. Calculate 4*b(s) - 3*p(s).\nAnswer: s + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5\/9 - 4*w**4\/9 - 8*w**3\/3 + 4*w**2 + 6*w = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(3 - 5 + 0) - 5 + 10 + 0 - 4*l.\nAnswer: -2*l + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 2*l**5 - l**3\/3 - 14. What is the third derivative of k(d) wrt d?\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-10))**(8\/5)\/(f**(-24)\/f**(-3\/5)) assuming f is positive.\nAnswer: f**(213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*h**3 + 86 - 494 - 13 - 798*h**3 wrt h.\nAnswer: -1413*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 14 (c) -3 (d) -0.6 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 40. Suppose 0 = -5*m + 2*m + l. Calculate the remainder when (3 - 128\/44) + (-3159)\/(-99) + -4 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*h = -0*m + 21563, -5*m + 21561 = -3*h. Suppose 297*a - m = 288*a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 2*v**3 - 2*v**4 + (13982 - 364*v**3 - 13982)*(-4*v + 2*v + v) to the form s*v**4 + i + m*v**3 + h*v**2 + j*v and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = -4*z - 5*f, 12 = -5*z - 3*f. Solve 3 = -z*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4111987805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3)*4)\/(sqrt(8) + sqrt(8) + (sqrt(64)*3)\/sqrt(8)))**2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1 - 4*a - 5*a + a + 7*a. Let v be 2 - 6*1\/2. Give g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w - 6. Let h = -4 - -9. What is the remainder when c(h) is divided by 3 + (-21)\/(-9) + 1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 55 (c) -78.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007264815 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -4270 in descending order.\nAnswer: 0.5, 0.3, -4270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133804*-0.392.\nAnswer: 52451.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31038877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4201669 is divided by 4572.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72\/11? (a) 21 (b) 0.3 (c) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z - 10. Let s be t(-9). Suppose s*d + 35 = 3*d. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180380 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 35880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57502.55 rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 - x - 2. What is h(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-30*(-11)\/33)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/72916230 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -584 - 8?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29267.\nAnswer: 7, 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let q(l) = 16709*l. Determine q(h(k)).\nAnswer: 33418*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 259447720 a multiple of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -14.4.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 10936*i - 450055. Determine o(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -40.16. Let b = r + -0.149. Let g = -0.010846 + b. Round g to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -228, -224, -220, -216?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001031 (base 4) in base 5?\nAnswer: -231034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46113 >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*t**2*x**2 - 184976*t**2*x - 1826*t*x**2 wrt x.\nAnswer: 136*t**2 - 3652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-143)*(-1183)\/(-182)*(-11)\/((-220)\/4).\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74668*h**3 - 355255*h**3 - 30828*h**3 - 100333*h**3.\nAnswer: -411748*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 52466.489 to the nearest 10.\nAnswer: 52470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p - 55 - 16 + 197 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01548277 rounded to four decimal places?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**2 + 3. What is the remainder when k(3) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -2. Let a be 244\/5 - (-3)\/p. Suppose 121 = 3*o - 5*w, o + 3*w - a = -o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3 - 3 - 2)*(4 - 1 + 0)*(-3*h + h + h).\nAnswer: 6*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 3*y**4 + 2*y**4 + (-6*y**2 - 8*y**2 + 12*y**2)*(y**2 + 3*y**2 - 3*y**2).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 7987c4?\nAnswer: -7987ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyygaycyxgx. Give prob of sequence cx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4124845.87 to the nearest ten thousand.\nAnswer: -4120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 19102 = 3*s, -7*v + 8*v - 3*s - 4789 = 0. What is the highest common factor of v and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-27365)\/(-20) - 16 - 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 42*x**2 + 3914*x - 89. Determine z(-87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 648 + 1329 = 0. Let z(c) = c**3 + y*c - 1 - c**2 + 7*c**2 - 665*c. What is z(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -0.07 (c) -10 (d) -2\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, k: 4}. What is prob of sequence rkkk?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13401016 (base 8) to base 11\nAnswer: -177a395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2178 and -79\/33.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 172*d**2\/3 - 760*d - 2352.\nAnswer: 2*(d - 98)*(d + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0.4. Suppose -2*v + 7 = -73. Suppose -v = -8*j + 3*j. Which is the third biggest value? (a) j (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 30) + 3456\/96?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (704\/24)\/(1 - (-644)\/(-648))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -19. Let x = -6 + -4. Let g = h + x. Which is the closest to 0.1? (a) -0.5 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214 rounded to the nearest 100?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, -0.4, 0.08, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, -478, -1396, -2676, -4318?\nAnswer: -6322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-7) - (-2 + 2). Suppose -5*x - 3*q = 2459, 3*x + 5*q = k*q - 1479. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, f: 3, i: 3, p: 4}. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0105436 to five decimal places.\nAnswer: -0.01054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyyl when four letters picked without replacement from hhlhhuyhhhhlhguhhhy?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.5 + 5. Put 1, -0.2, k in ascending order.\nAnswer: -0.2, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 52*f**2 + 11*f + 34. Let g be i(-4). Let p = -286 + g. What are the prime factors of p?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3624 and 97\/321630.\nAnswer: 1286520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98.2 + -98.242. Does k = 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/60 - p**5\/5 - p**4\/12 - 37*p**3\/6 + 34*p**2. Is b(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231840*m**4 + 58*m**2 - 435551963*m?\nAnswer: 2782080*m**2 + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*l + 81, -5*l + 3*l + 4*w = 40. Let h = 31 + l. Suppose h*r - 12 = r. Solve 2*o + r*o = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.04 - -0.04. Suppose 3*u - 13 = -2*r, 4*r = 5*u - 0*u - 7. Which is the nearest to 0.2? (a) v (b) 1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 3 - 3)*(-132 + 129 + 27*s + 16*s).\nAnswer: 172*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 318935 + -5?\nAnswer: 318930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5355 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7345, 7548, 7751, 7954, 8157, 8360?\n\"Answer: 203*z + 7142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {h: 6, z: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/2 - 2*a**2 + a\/2 + 2 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 258003 = -1171. What are the prime factors of i?\nAnswer: 2, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1088 = -4*m, -5*m + 14 = l - 276. Calculate the greatest common divisor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29341\/18 + -1626. What is the common denominator of v and 4\/1*63\/3906 - 6087\/(-2232)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78459881?\nAnswer: 67, 659, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 2*f. Let s(r) = -15*r**2 - 9*r. Suppose -22*v + 93*v = -89 - 550. Determine v*j(x) - 2*s(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0886*1\nAnswer: 0.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/1)\/25 - 46\/(-130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519817 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 273\/4. Which is the smallest value? (a) 0 (b) 2\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9589952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 770414788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1681.5465.\nAnswer: 3363.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 171291560.4 and -0.4.\nAnswer: -68516624.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -104*o**2 + 16*o + 8. Let j(m) = 70*m**2 - 10*m - 5. Calculate -8*j(q) - 5*n(q).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2968*w**2 + 2*w - 245. Is t(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 - 3*l + 23. What are the prime factors of c(-6)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55521403 (base 6) in base 15?\nAnswer: 231380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13 - 17)\/(-10))\/((-9)\/(-30)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -16 in descending order.\nAnswer: 4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556016 divided by 496.\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842762201?\nAnswer: 842762201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*g - 1, 3*g + u = 7*g + 3. Is 0 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/9)\/(-1))\/((-48)\/(-324)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127230.103 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.5 (c) -3\/4 (d) -27 (e) -164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-7))\/12*21\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 46*o - 63*o + 64. Solve 0 = 3*h - 3*r - 3, -5*h - 2 = o*r - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -1*sqrt(275))**2 + -2 + sqrt(88)\/(sqrt(72)\/(sqrt(18)\/sqrt(2))).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3205 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/211737600 and -1\/4500.\nAnswer: 1058688000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 8*b**3.\nAnswer: -2*b**3*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275533537*j**3 + 243645978?\nAnswer: 826600611*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 16*q + 12. Suppose 45*r = -5*i + 42*r + 36, -q*i - 5*r + 28 = 0. Solve -3*p + 3*u = 12, 9*u - i*u - 15 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dycdyydiiyd. What is prob of sequence dyyy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9309*h**4 + 3*h**3 + 3*h**2 - 56*h + 18. Let t(p) = -3*p**3 - 2*p**2 - p - 1. Let c(i) = o(i) + t(i). What is the third derivative of c(a) wrt a?\nAnswer: 223416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2 - 2)*-12. Let l = m + 6. Is 26\/3*l\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238275*f - 119141*f - 119137*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/3)\/(j*j**(-2\/103))*(j**(2\/11))**(-10\/11) assuming j is positive.\nAnswer: j**(44398\/37389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3, u = 4*u - 4*h - 138. Let d = 72 - u. Let v = 39 - d. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144696?\nAnswer: 2, 3, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-90)\/24)\/(9\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 210 + 318 = 5*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -109112 divided by 4\nAnswer: -27278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 + 7937386*t - 7937386*t.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 2. Solve -3 = -2*x - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3526 = 3*b, 0 = 4*b - 3*b - 3. Suppose 0 = 10*d - 3*d - m. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 7*t**2 - 3*t + 4. Let p be c(4). Let g(o) = o**3 - 8*o**2 + 13*o - 27. List the prime factors of g(p).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17170.7822 - 17461.1. Let a = x - 11.8392. Let r = -302 - a. Round r to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48197*n - 41*n**3 - 15946*n - 16127*n - 16124*n - 11*n**3.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*i**3 + 158*i**2 + 168*i**2 - i + 3*i - 2 - 488*i**2 + 168*i**2 to m*i**2 + h*i**3 + n + p*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 91. Suppose o - b = 3, t*o - 2 - 14 = -3*b. Suppose k = -2*u + 8, -o*u = -2*u - 3. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-171)\/39)\/(-14*20\/3640).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 3, m: 1, o: 1, p: 1}. Give prob of picking 1 p, 1 k, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57209 is divided by 1446?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*g + 30*g + 20. Find the third derivative of -4*s**4 + 6 - 5*s**2 - 1 - g wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = -4*f, -t - 1127*f = -1129*f - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1602 and 137\/12.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2057409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -11. Suppose 0 = -2*l + 4 + a. Solve -c = 9 - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 8. Let q be b(4). Let x be 1 + 4*2\/q. Factor 1\/3*c**2 + x*c + 0.\nAnswer: c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 6. Suppose -10 = m*n + 2. Is (-45)\/60 - 479\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23508793 divided by 3358399?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 123*d + 6 + 6 - d**2 - 131*d - 3. Let w = -18 + 9. Let x = 1 + w. Determine o(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + y**4 - 3*y**4)*(10 + 2 - 11) + (3 - 3 - 2*y)*(0*y**3 + 0*y**3 - y**3).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475319, -950639, -1425961, -1901285?\nAnswer: -2376611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-1) + (-661860)\/132360. Are d and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 193388639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 129 = -31. Let d be 10 - (-1 + 3 - -1). What is the greatest common factor of d and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.8295.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - x - 4, 3*x = 6*s - 2*s - 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636 = 12*q + r - 577, -2*r = -4*q - 22 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -21. Suppose q*n - 2*z - 14 = 0, -4*n = z - 6*z - 29. Suppose -2*u + 24 = -5*v + n, 3*v + 12 = 3*u. Is -2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 10*i**2 - 9*i + 2. Let r be a(-9). Let o be (r + 1)\/(-3) + 91. Let g = -55 + o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*2)\/sqrt(6))**2 - -2*(sqrt(11) + sqrt(11)*-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 361779.95 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180\/223, -2\/5, 10, -4, 5 in increasing order.\nAnswer: -4, -180\/223, -2\/5, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 820 and 12279705?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 1 - 2 + 0. Let a(y) = y + 3. Let k(u) = -a(u) - 3*c(u). Let l = 301 + -303. Give k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-2))\/(-3)*(-26)\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 10*i**2 + 0 + 0*i**3 - 47*i - 5\/12*i**4. Factor z(f).\nAnswer: -5*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -q - 6 + 3, -5*q - 5*u - 35 = 0. Let c = q + 13. What is the second derivative of 4*s**2 - 5*s + 7*s - 5*s**c wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*q - 4)*(2 - 3 + 3)*(-1158 - 666 + 267).\nAnswer: 6228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*u - q - 4*q, q - 1 = 0. Let l be (1 - -2)\/((-5)\/(-10)). Solve g - u = l*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.78 + 157.16. Let j = p + -120.48001. Let z = 0.1 + j. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - -0.11. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z = -2. Let o be z\/(-3) + 7\/3. Suppose -4*v + o*v = 0. Solve -2*u + 0*s = s - 5, v = -5*u - 5*s + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/(-1680))\/(5 - 7292\/1460) and -3\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 201*p + 201*p - 11 + (0 + 1 + 1)*(p**3 + p - p) + 0 + 0 + 2*p**3.\nAnswer: 5*p**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let p be 2*-4*c\/(-4). Let a(b) = b**2 - 4*b. Let w be a(p). Solve 0 = -f - w - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 301.590591 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 1348. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 921 and 25481?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 48 = -18*x. Suppose -5*i = -x - 21. What is the derivative of 5*d - i - 7 + 2 + 9*d wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z**(-1\/3))**(-1\/15)*(z\/((z\/(z**(1\/9)\/z))\/z)*z*z\/(z*z\/((z**0\/z)\/z)*z))\/(z**(1\/4)\/(z*z*z*z**(1\/2))) assuming z is positive.\nAnswer: z**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314833116?\nAnswer: 2, 3, 13, 19, 106219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 8, m: 3, a: 1, e: 2, j: 5}. Give prob of sequence aek.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10119181005.64 + -0.2.\nAnswer: -10119181005.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211 - 202211021?\nAnswer: -210001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2459*y**3 - 9672?\nAnswer: -7377*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 10501\/7509 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6740 divided by 23\nAnswer: -6740\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 - -359. What is the greatest common factor of 20 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-216)*639\/(-710).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -4 + 190 + -225?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llylbcyzylql. Give prob of sequence qyyc.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1111*o - 1110*o + 62*o**2 + 1107*o - 1108*o.\nAnswer: 62*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p = -45*p + k - 6992, 6996 = 3*p + 3*k. Calculate the remainder when p is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4569*q**2 + 2980 - 2980 in the form r*q + m*q**2 + x and give m.\nAnswer: -4569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -566.279 to the nearest integer.\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3435*a**2 - a - 3202 wrt a.\nAnswer: 6870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 129*r**2 - 24744*r - 4695. Give t(192).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*a - a + 4, -4*p = -5*a + 2. Factor 26*b**2 - 6 - 2*b**3 + 2*b - 9*b**a - 11*b**2.\nAnswer: -2*(b - 3)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-780)\/(-364))\/(11\/(-77))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:55 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 4027587.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6293051, 12586100, 18879149, 25172198, 31465247, 37758296?\n\"Answer: 6293049*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 3*j + 15, 26*j = -127*y + 130*y - 131 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 4*b**3\/3 + 6*b**2 + 8*b + 8. Solve d(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 955 * -3.8\nAnswer: -3629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011110100100 (base 2) in base 4?\nAnswer: 11132210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 5\/4*y**4 - 66 - 249*y + 0*y**2 + 5\/3*y**3. Find the first derivative of b(h) wrt h.\nAnswer: 15*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 - 49307?\nAnswer: -49477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 2*a - 6. Let u(v) = 2*v + 5. Let i be u(-4). Let f be (-1)\/i - (-75)\/(-9). What is the remainder when 37 is divided by g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 688881654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1792)\/(-42))\/(-32))\/(2\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-42)*(-38)\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/((-84)\/(-210))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -172.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oall when four letters picked without replacement from {l: 1, o: 2, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 11*v + 8. Let h be c(6). Solve 5 = -h*a - 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -151*x + 4858. Give k(9).\nAnswer: 3499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let w(t) = 1752*t + 8. Let a(f) = 73*f - 1. Let k(j) = -24*a(j) - 3*w(j). Determine l(k(o)).\nAnswer: -49112064*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/35 - -1*(-24)\/(-5). Suppose n*y + 5*m - 1025 = 0, 0 = 2*m + 15 - 17. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 6190*k + 6185 = 0.\nAnswer: 1, 1237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49607 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 1)\/(6\/4*(-196)\/3381)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g + 93*g - 30 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 11*l**2 - 10*l - 51. Let o be t(13). Let u = 264 - o. What are the prime factors of u?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 10. Let d be b(12). Suppose -d = -3*p - 2. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*s = -28 + 1, -4*y = -5*s - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*t - 17, 5*t + 8*l - 5*l - 53 = 0. What is the remainder when 110 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 10 - 30. Let s = -5 - l. Solve i + 4 - 5 = s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 + d + d**2 - 2*d**2 - 2*d**3 - 4*d**3. Let w be n(-2). Solve 0 = 4*k - w*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39297 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (128*p + 418*p - 283*p)*(-2*p**3 + 0*p**3 - 2*p**3) + 2*p**4 + 2*p**4 - 3*p**4 as f + i*p**3 + n*p**2 + v*p + c*p**4 and give c.\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 + 1 = 0, 4*l - 2*m = 14. Let d be (18\/l + -4)*7\/2. Find the third derivative of 13*k**4 - 2*k**2 - 3*k**4 - k**2 - d*k**2 wrt k.\nAnswer: 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8454*w**2 - 17465*w**2 + 9021*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -3513a368?\nAnswer: -3513a367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8804*k + k**2 + k**2 - 8785*k. Let o(u) = 3*u. Determine z(o(g)).\nAnswer: 18*g**2 + 57*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28\/39 + -5\/13. Factor 4\/3*u**3 + m*u**4 + 0*u + 0 + 4\/3*u**2.\nAnswer: u**2*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17091, 17227, 17359, 17487, 17611, 17731?\nAnswer: 17847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, 3\/7, -181, -2\/13 in decreasing order.\nAnswer: 3\/7, 1\/5, -2\/13, -4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33368 and 968?\nAnswer: 4037528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -141\/87430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 20*a**2 + 5792*a - 2320 = 0.\nAnswer: -290, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 1 + 3*w + w. Let q = -37 - -37. Let k be g(q). Solve -2*v + 3 = k, 6 = z + 2*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/153 and -61\/28934?\nAnswer: 260406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5210*f**2 + 11175 - 24617 + 8793 - 7014*f**2 + 2252*f**2 wrt f?\nAnswer: -19944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -458 - -483. Calculate the remainder when 592 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13666, -3, -58 in descending order.\nAnswer: 13666, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 - 2206485*q\/7 - 194147448\/7.\nAnswer: -3*(q + 88)*(q + 735407)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 1. Let r(p) = -p + 11. Let y be 1*(-1)\/((-1)\/10). Let s be r(y). Give h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8640 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 43554968\/7 and 6222137 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 9*x**2 - x + 1. Determine m(10).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -72, -194, -396, -696, -1112, -1662?\n\"Answer: -3*t**3 - 13*t**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.36, -3\/5, 3, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 - 12)*(-1 + 17 - 1)*(2*h**4 + h**2 - h**2).\nAnswer: -420*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15*69\/(-2))\/(3\/(-6)).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:59 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 65\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -673\/8 + 84. Let h = 0.1 - 0.14. Let m = 1.96 - h. Which is the smallest value? (a) m (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 - y**3 - 14*y**2 - 5*y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12768, -51154, -115144, -204750, -319984, -460858?\nAnswer: -627384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3, 3*m + 23 = 4*g - 44. Let y = 32 - g. Let t = -5 + y. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -1 (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 68400 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/(-287))\/(((-4)\/6)\/(-1)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -100101011?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l*l**(-7))*l)*l)*l)\/l**(2\/7))\/(l\/l**0*l**(3\/4)*l) assuming l is positive.\nAnswer: l**(139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 42*g - 1266. Let l be c(-21). Which is smaller: l or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56197\/12013 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 364\/8*((-32224)\/2067)\/(-152)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {c: 3, t: 3, g: 3, o: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 105 = -0. Suppose -2*y + q = -y. Suppose n + y = 2*p, -64 = -4*p - n + 5*n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 22*d + 104. Let x be h(-4). Suppose 6*l - 6889 - 1565 = x. What are the prime factors of l?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 7*c + 7. Let a(l) be the third derivative of -13*l**6\/60 + l**4\/24 - l**3\/3 - 38*l**2. Let n be a(1). Let b = n - -34. Determine w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(4\/(-3))\/2. What is the first derivative of 0*q**2 + 3*q**j + 12 - 14 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.038857?\nAnswer: -0.194285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4\/7, 5, -2, 1 in descending order.\nAnswer: 5, 1, 4\/7, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14418 is divided by 5241?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 25 - (-30 - -44).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20606 + 321565?\nAnswer: 300656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -3, 2*l - 130 = 4*m. Let j = l - 37. Suppose 51 = -19*b + j*b. Which is smaller: b or 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 smaller than 154\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 15 = 4*c. Let u be 12\/24 + 5\/(-2). Sort c, u, 0 in descending order.\nAnswer: 0, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*d = -16, -a + 5*a + 5*d = -13. Suppose 94 = 2*q - 4*j - 176, 701 = 5*q + a*j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = b - 0 - 9, -2*o - 11 = b. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 + -230.8. What is the closest to 0 in 2\/13, c, 0.3, 8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 51 = 3*s + 17, 3*h = 3*s - 9. Solve 3*q = -s - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/9 + 59*l\/9 - 4\/3.\nAnswer: (l + 12)*(5*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(1*(-3 + 2)). Let p be 7\/(-15)*10\/s. Let f be -2 + -2 + 92\/22. Which is the third biggest value? (a) f (b) 0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53288.6035 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 2 + 2*o + 3*o. Let k be (28\/8)\/((-3)\/(-6)). What is the units digit of i(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3365 - 3350. What is the highest common factor of p and 2070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172.89 + -1.89. Let h = 171.000123 - s. Round h to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3 - 2093604*c**2 = 0. What is c?\nAnswer: 0, 697868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 3*s - 5. Let b be n(3). Let k(c) be the second derivative of -c**5\/20 + 7*c**4\/6 - 2*c**3 - 13*c**2\/2 - 1130*c. What is k(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 + 2020103013031?\nAnswer: 2020103013212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 437*l**2 + 18045*l + 2342. Calculate g(475).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -2\/15*v**6 + 0 + 7\/5*v**5 - 111*v + 12*v**2 - 5\/3*v**4 - 14\/3*v**3. Let t(m) = 0. What is m?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 583 = w, -6*w + p = -5*w - 577. Let l = 6387\/11 - w. Factor l*d + 4\/11 + 8\/11*d**2.\nAnswer: 2*(d + 2)*(4*d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c521 - 3?\nAnswer: -c524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 + 24*b**2 + 3*b - 10. Let w be n(8). Suppose -t + 12 = -4*v, -1 - w = 5*v. Sort 4, t, -1.\nAnswer: -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, a: 2}. Give prob of sequence cacc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -999660 and -1.\nAnswer: 999660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54\/24 + (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*8.5714988.\nAnswer: 0.85714988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 24*w + 51. Let h be y(-22). Differentiate 15*m**2 + h*m**3 - 3*m**3 + 148 - 156 with respect to m.\nAnswer: 12*m**2 + 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.5, -5, -3\/2, 3\/2.\nAnswer: -7, -5, -3\/2, -0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 - 7*s**3\/6 - 2*s**2 - 80*s. Let f be (-9)\/((-1)\/1) + -2. Determine c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2177057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4137 (base 10) to base 12.\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 9004.\nAnswer: 9004.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 339, 792, 1205, 1578?\n\"Answer: -20*i**2 + 513*i - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j + 2. Suppose 5*v + j*k = 18, 2*v - 2 = 3*k + k. Let w(b) = 0 - b + 0. Let y(x) = x - 1. What is v*w(n) + 2*y(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 83, 63, 31, -13?\n\"Answer: -6*b**2 - 2*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2070 and 6570?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/31 at most -54\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:49 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18682 at most as big as -18844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6048628, -12097262, -18145896, -24194530, -30243164, -36291798?\n\"Answer: -6048634*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21353)\/136920 - 8\/28) + 6\/16?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 81. Suppose 3*b - 201 + 0 = 0. Let l = b - y. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4001, 4035, 4077, 4127?\nAnswer: 4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from ebeqeqbqqqeqqqqe.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1714\/17 + 101. Let l = 11\/34 + c. Let 1\/4*g + 0*g**3 + 0 - 1\/4*g**5 + 1\/2*g**4 - l*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6643933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let u(w) be the first derivative of 9*w**2\/2 + 5. Calculate q(u(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/6 + (-764845)\/(-57) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 + 41*i + 386 - 1134 + 363.\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 75, 119, 163, 207?\n\"Answer: 44*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1655 - 1653. Solve -g*t = -x - 5, -5*x + 7 = -6*t + 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 5*z**4\/12 + 2*z. Let x(p) be the second derivative of 0*p**2 + 0 + 1\/12*p**4 + 0*p**3 + 12*p. Calculate x(m(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(108 + 2*k**2 - 223 + 5*k**3 + 108).\nAnswer: 10*k**3 + 4*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18121052.\nAnswer: 2, 4530263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:27 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7835\/(-9402))\/(((-2)\/(-60))\/1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1*4*11\/44. Suppose -3*j - 2*j = 0. Solve j*y = y + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g**2 - 14*g - 18. Let j be o(7). Round j to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72356816 and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + r - 41 = 0, 3*m = 2*m - 3*r - 3. Suppose -5*p = -b + 24, -5*b + m*p = 4*p - 20. Let h(c) = 4 - c + 3*c**2 - 4. What is h(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72745 divided by -14549\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -0*m. Let c be 2\/(-9)*(-1)\/(-2). Sort m, c, -2\/5 in ascending order.\nAnswer: -2\/5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6772*k + 1895*k - 58*k.\nAnswer: 8609*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26727923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttgy when four letters picked without replacement from ttyyttdtdtgt?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520647333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 4, -0.2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9399 divided by 241?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)\/(l\/(l*l**(-2\/27)))*l**(-4\/7)*l\/l**22 assuming l is positive.\nAnswer: l**(-5792\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10)*((-375)\/(-525))\/((-2)\/(-4)). Let x be (-1)\/3 + 5\/(-12). Which is the closest to 0? (a) x (b) j (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**3\/3 + 10115*u**2\/3 - 133180*u\/3 - 570080 = 0?\nAnswer: -2036, -8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 5. Let g(l) = 2*l + 11. Let a(i) = 6*g(i) + 13*t(i). Let w(o) = -o + 2. Suppose -19*z - 26*z + 22*z + 46 = 0. Give z*w(v) - 5*a(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1771063 divided by 3521\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/(-3276))\/((-1060)\/(-5512))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41908.3733 + 41911. Round h to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78.2+-248237591\nAnswer: -248237669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -346 - -341 - (-1 - (3 - (26 + 1))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1806 + 2659. Calculate the greatest common divisor of 190 and q.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2688 at least as big as -588898\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36292959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2*a + 2 - 1\/3*a**3 + 0*a**2. Let p(y) = -72*y**2. Calculate u(p(v)).\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/2 - 124*f**2 - 19005*f\/2 - 209475 = 0.\nAnswer: -105, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3\/3 - 22703. Let r be 2*((-2)\/(-2))\/1. Let v(f) = 2*f + r*f - f. What is v(n(g))?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 2922 and -178.\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 271131088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/45 and 199\/2850.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*a - 10*a + 24. Let t = 14 - a. What is the smallest common multiple of t and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05619 times -307.7?\nAnswer: -17.289663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157071 is divided by 1333?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-12) + 2\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2346*w**3 + 3*w**2 - 2*w + 14239.\nAnswer: 7038*w**2 + 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -5, -11410378 in decreasing order.\nAnswer: 3, -4, -5, -11410378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3c58b (base 16) to base 14\nAnswer: 66119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 22222*t + 244309. Determine k(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24 + (-4 - -6 - 2). Do -23 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 - -0.04. What is the third smallest value in 4\/5, 0, s, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -17. Let x = 5.3 + t. Let w = -2 - x. Which is the nearest to w? (a) 0.3 (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 232*h**2 + 6*h + 18. Let b(f) = -155*f**2 - 4*f - 11. What is -8*b(n) - 5*u(n)?\nAnswer: 80*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 824339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(8 + -6) + 33*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 25*u - 129. Let c be f(24). Suppose x + z - c = 0, 17*x = 19*x + 5*z - 852. List the prime factors of x.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 737 + 1977 = 0. Suppose -j = 26*r - 31*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/3 + -2 + -2. Suppose 0 = 2*d + 10, s*b + 121 = -d + 12. Let t = -35 - b. Is -9 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-3 + 2). Let j = 3.2 + -3. Let c = 2.2 - j. What is the nearest to c in 2, 4, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 658 - 659. Let o = 16 - 6. Sort o, -2, a.\nAnswer: -2, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*n - 15*n**2 - 16*n**2 - 142*n wrt n.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2\/5, 1\/7, 4.\nAnswer: -27, 1\/7, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 4*d**2 + d + 6. Let c(y) = -2*y - 27. Let w be c(-15). Let n be q(w). Solve n = -2*b - 1 + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442495 + -26770.4909.\nAnswer: -469265.4909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 67*a**2 - 33*a + 7. What is u(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -1454239.8228203.\nAnswer: -1454243.8228203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*b - 91*b = 0. Suppose y - 2*y + 734 = -2*v, 5*y - 2*v - 3630 = b. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + n + 4. Let l(c) be the second derivative of -1\/3*c**3 - 1\/6*c**4 + 123*c - 7\/2*c**2 + 0. Calculate -7*d(s) - 4*l(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53150*y**4 - 12*y**2 + 145*y + 5 wrt y?\nAnswer: -1275600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46925\/4 - -11900. Let f = 168 - s. Let j be (1 - 129\/(-27)) + (-228)\/38. What is the second smallest value in 0.4, j, 3, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 5*l + 9*l)*(-515*l + 149*l + 211*l).\nAnswer: 1240*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 0.88 (b) 4 (c) -2\/3 (d) 5\/2 (e) -2 (f) 25\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (0 - (-3 + 2 - 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*k**3 - 77*k**3 - 76*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6323*-4.\nAnswer: -6.5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.08*0.3.\nAnswer: 4.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 0*w**2 + 0*w**2 - 11 - 4*w**2 + 5*w**2 + 3*w**4 - 1 to the form k*w**3 + u*w**2 + a*w**4 + p*w + j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -13*d**4\/12 + 3*d**3\/2 + 5*d**2 - 78*d. Suppose -3*a = -22 + 1. Let r(h) = -9*h**2 + 6*h + 7. Give a*r(x) - 5*i(x).\nAnswer: 2*x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 8 = 14*f. Suppose f*j = -2*j + 414. What are the prime factors of j?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 3*u**2 - 3. Let d = -25 - -49. Suppose 0 = 3*n + d + 15. Let g = 10 + n. Determine w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3000)\/45*(-3)\/(-15)*(-47)\/(846\/(-135))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6098049 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 6*l - 14 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63966061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 434 = -0*u. Suppose 0 = 2*o - 0*o - u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 81480 = 7*n. What is n rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 614020.6nm?\nAnswer: 0.6140206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3799375 and -5.\nAnswer: 1.8996875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4209*l**2 + 5201*l.\nAnswer: 8418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 186960.48 times 5\nAnswer: 934802.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24754273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1533\/18)\/7 - -1 and (1\/4)\/(20\/232)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 9. Let d be 2\/(-3) - (-22)\/(-3). Let h be t(d). Let k = h + -12. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/21)\/((-2)\/(-7)). What is the third derivative of -2*f**2 + f**2 - t*f**3 - 3*f**3 + 2*f**3 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.657327 kilograms in grams?\nAnswer: 8657.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-2 + sqrt(243))*1 + 2)*-6)**2.\nAnswer: 324*sqrt(3) + 8757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*s + 9 = 0, -2*u - 4*s = -3 - 7. Solve u*h = h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(32) + (sqrt(32) - sqrt(1568)*1))**2.\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989 a factor of 214404255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7916688 divided by -108.\nAnswer: 219908\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-4\/7)))\/(r\/(r\/r**2)))**1*((r\/(r\/(r\/(r*r**(-1)))))**39)**42 assuming r is positive.\nAnswer: r**(11456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 12 = -10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29989223 and 89967669.\nAnswer: 89967669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2814 and 4.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:04 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(15250\/(-122))*-106*(-2)\/4\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4\/5 + 189*b**3 + 12789*b**2\/5 + 44247*b\/5 = 0. What is b?\nAnswer: -301, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 807*z + 12 - 769*z - 6 in the form p + w*z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -1\/6 (c) -0.3 (d) -1 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*v - 32*h + 35*h, 5*v - 25 = -5*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27692?\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17622547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 137\/411*36\/(-10)*124*10\/24\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**3 + 23*a**2 - 21*a + 9. Let j(l) = -3*l**3 - 11*l**2 + 10*l - 5. Let c(i) = 5*j(i) + 2*z(i). Is c(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/14)\/((-1)\/66). Let r = 42 + c. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396 > 9397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f**2 - 4*f - 45*f**2 + 24*f**2 to the form k + g*f**2 + z*f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -704 and 0.4.\nAnswer: -703.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -603923.21 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:35 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 787963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 6\/(6048\/131860). Let b = -1186\/9 - m. What is the common denominator of 35\/32 and b?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -557\/17. Put 0.5, 1, w in ascending order.\nAnswer: w, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 4*d - 2, 20 = 4*j - 4*d. Let s(t) = -t**2 + 12*t - 5. What is the remainder when 118 is divided by s(j)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 30, 37, 40, 39, 34, 25?\n\"Answer: -2*d**2 + 17*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 4 = 0. Suppose -3*n + 23 = 4*z, -4*n - 5*z = -5*n - 5. Solve 4 + 2*t**2 + 4*t**4 - 2*t**2 + t**n - 4*t**3 + 2*t - 8*t**m + t**5 = 0 for t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(9\/(-12)). Suppose 5*u + r - 12 = 15, 0 = 2*u - r - 8. Solve -5 = -u*g - 3*s, 0 = a*g - 0*g - 4*s + 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/215 (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.38. Let u(j) = j**3 + 8*j**2 - 2*j - 17. Let w be u(-8). Let y be w\/7*2 - 154\/147. Sort o, y, -5 in ascending order.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (-5 + -11 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, 467, 1988, 4115, 6848, 10187?\nAnswer: 14132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) -1\/3 (d) -4\/15 (e) -4 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*y + 1016*y + 1 - 375*y - 1 - 329*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371\/46 + -36\/23. What is the common denominator of v and -97\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4907 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 11 = -44. Let i(v) = -6*v - 12 + 36*v**2 + v**j - 34*v**2 + 16. Calculate i(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j**4\/3 - 46*j**3 + 180*j**2 = 0. What is j?\nAnswer: -9, 0, 30\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -4 - (1 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6676 and 479003?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.04071?\nAnswer: 0.12213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c - 5*y = -12, y = 2*c - 2. Suppose c*v - 11 = 5. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k - 2*k)*(5 - 9 - 4) + 1 - 69*k + 35*k + 50*k.\nAnswer: 40*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -3590764\nAnswer: 129267504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2694641 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:35 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 1. Suppose -3*u + 6*u = 3. Let y be c(u). What is the units digit of y + 0\/(3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.473 - 168.473. Let h = 2.1 - 2. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325578 a multiple of 2027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*t + 147*t = 12288. What is the common denominator of -61\/2 and ((-9)\/(-60)*5)\/((-120)\/t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -35135314?\nAnswer: -35135252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 41. Is 6 a factor of s\/(-3) + (-657)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -66\/8852411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25799405?\nAnswer: 5, 5159881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 + -1551646?\nAnswer: -1552123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4832*j + 283939 + 55392 = -7048 + 37131 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -21*q**5\/4 + 235*q**4\/2 - 261*q**3\/2 - 446*q**2 - 897*q\/4 - 63\/2 = 0.\nAnswer: -1, -1\/3, -2\/7, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -18\/7*w**2 + 10\/7*w**3 + 4\/7*w + 0 - 2*w**5 + 18\/7*w**4 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - 2*sqrt(168))\/sqrt(3))\/sqrt(8).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 + 5*x**2 + x + 1. Let c(s) = s**3 - s - 1. Calculate c(j) + r(j).\nAnswer: 7*j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-1\/4)*g)\/g)*g)**(-12)\/(g**(-1\/2))**(-17) assuming g is positive.\nAnswer: g**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -61*s**2. Let d(q) = -92*q. Give k(d(c)).\nAnswer: -516304*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 26 - (-1 + -5)) + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108 + 26 - 113 - 1 + 10)*(0*w + 3*w - w) in the form b + x*w and give x.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -12433?\nAnswer: 12433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5b + -2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1553 (base 7) to base 12\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -2*j + x, 2*j - 5 = 3*x. Let d be 6 + j - 2 - 4. Do d and -10\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 34 - 108 = -42, 5*m + 2*l = 12 - 43 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.83 + -0.61. Let f = 3.78 + l. Let x = 59 + -59.2. What is the nearest to f in x, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) 1 (c) 2\/9 (d) -617 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 11*u**2 - 11*u + 2. Let o be n(12). What is r in o*r**2 + 0 + 1 + 3*r**4 - 14*r**3 - 16*r + 9*r**2 + 3 = 0?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 53206\/111 + -2 + (-8)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1772298*q - 904541?\nAnswer: -1772298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35309582141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -25337 and -25336 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 14) in base 15?\nAnswer: 1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65156588 by -446278.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a - 162 = -3*q, 0 = 3*a. Calculate the greatest common divisor of 189 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -18. Put -0.3, 3, v in descending order.\nAnswer: 3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7317023 and 5226445.\nAnswer: 36585115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 672040141 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-15)\/70*(-52)\/130.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1004\/(-130) - (-40 + 32))*5\/3.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.95106 weeks in microseconds?\nAnswer: 14485601088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, q: 1, p: 2, g: 4, m: 2}. What is prob of picking 2 g, 1 p, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/24937, 1\/7, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 99582\/41 (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaaa when four letters picked without replacement from aaaaxxax?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6\/11)*r**(4\/5)*r\/(r**(-18)*r)*r**(-1\/3))**(-3\/16) assuming r is positive.\nAnswer: r**(-1561\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5710410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -3327ba9?\nAnswer: 3327b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 25*c - 14. Let h be m(-9). What is the third biggest value in h, -6\/7, -6, 0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 136 - 137 - 4*i + 2*i**3 - 11*i**3 + 3*i. Let r be (-16)\/20 + (-2)\/10. Give s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofnffoollconocfololl. Give prob of picking 1 o, 1 n, and 2 c.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7 - 4.7. Suppose 2*l = 5 - 1. Which is the smallest value? (a) v (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48108448.\nAnswer: 2, 29, 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661508226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 169, 617, 1463, 2833?\nAnswer: 4853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*(-5 + 16). Let m = 65\/6 - y. Let q = -2 - -2. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(-2*sqrt(7)) + 1)**2.\nAnswer: -sqrt(5) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 0*t - 76. Let i(l) = l**3 + 4*l**2 - l. Let y be i(-4). Let m(f) = f + 1. What is the remainder when t is divided by m(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 573*f**2 - 11437*f + 47. Give y(20).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14872 and 104611.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*-1*(-451)\/22. Let r = h - 452\/11. What is the common denominator of r and (-4)\/14 + 58\/56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -401224231241?\nAnswer: 401224231243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/3*(-4)\/3. Let z = p + 7\/9. Calculate the common denominator of z and 8\/(-4) - (-205)\/45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6 + 80237*k**5 - 67*k**3 - 163217870*k**2 wrt k?\nAnswer: -240*k**3 + 4814220*k**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/5 + 7967*h\/5.\nAnswer: h*(h + 7967)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 + -634483\nAnswer: -634483.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*o + 49*o + 715 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609064.8 rounded to the nearest ten thousand?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -9*t**4\/4 - 15*t**2\/2 - 30. Find the second derivative of z(k) wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 4:07 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*182\/78.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:32 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 961 = -5*x, -b + 174 = -5*x - 113. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54164146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 65\/4 - (-2)\/(-8). Let n be 2*(-2 + 18\/(-4)). Let c be n\/52 + 6\/m. Sort c, 3, 1\/6.\nAnswer: c, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.8513352 - 376.1467198. Let o = u + 393. Round o to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2. Let p(v) be the third derivative of v**7\/1260 - v**5\/30 + 2*v**2. Let q(t) be the third derivative of p(t). Determine q(u(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - -6.3. Let g = u - 4. Suppose 5*m - 22 = 2*x, 0*x = 5*m + x - 19. What is the closest to 2\/3 in m, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 60*i - 828. Let r = -5 - -7. What is the lowest common multiple of v(14) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = -5*a + 2*a, 0 = 2*r + 6. Let n = a + -4. Let w(g) = 16*g**2 + 2*g - 2. Let j be w(n). What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21798 divided by -3\nAnswer: 7266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12831330?\nAnswer: 2, 3, 5, 427711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j - 7 = 0. Suppose -3*u - 21 = -l - j*u, -3*u = -12. Solve -2*f + 8 = q + 3, -5*q + 25 = l*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 44 = -4*a. Calculate the smallest common multiple of 8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccee when four letters picked without replacement from {c: 7, b: 3, e: 3}?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:24 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42746293, -85492585, -128238877, -170985169?\n\"Answer: -42746292*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1258 and -7\/34.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*n - 772 = 99 + 1988 + 1152 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -532*u - 2674. What are the prime factors of k(-50)?\nAnswer: 2, 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3642 divide 84019092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 38 = -6*g. Let m = -16 + g. Let h = m - -38. Calculate the remainder when h is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 + 105\/(-12) + 15\/(-60). Sort -18, f, -13, -1 in increasing order.\nAnswer: -18, -13, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 19. Let j be t(10). Let w(k) = -2*k + 35. Let q be w(j). What is the second derivative of -7*z**2 - 2*z**2 - 36*z + q*z + 11*z**2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 19096 = -3*c + 18951, w + 3*c - 262 = 9*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4674 - -4568. Put -3, 4, v in descending order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 3.01.\nAnswer: 84.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjc when three letters picked without replacement from ckkkrzrrzyyykkj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:59 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3017*x - 319. Does 8 divide c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -20, -23, -3304, -11.\nAnswer: -3304, -23, -20, -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -14. Let g be 37\/x - (1 + 2). What is the nearest to 0 in 6, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 2. Let k(m) = -m**2 - 3*m - 4. What is 4*k(n) - 9*w(n)?\nAnswer: 5*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 105. Suppose -93 = -2*g + 299. Let z = g - f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225971 divided by 6?\nAnswer: 225971\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(19) + sqrt(190)\/sqrt(90).\nAnswer: 3 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -12. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 468*g**2 + 3600*g - 7104 = 0. What is g?\nAnswer: 4, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 + 10*g**5 + (-2*g**2 - g**4 + 2*g**2)*(18*g + 13*g + 7*g) - g**5 - g**5 + 0*g**5 + (-3*g + 6*g - 4*g)*(2*g**4 - 1 + 1).\nAnswer: -32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.880638 + 38737634?\nAnswer: 38737635.880638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21673839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12929 + 1474?\nAnswer: -11475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 144214375 a multiple of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l - 29. Determine h(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:13 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16162 - 9829. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -307372 less than -2151602\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0505 - 1.0505. Let n = 564 + -577. What is the smallest value in 0.2, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2) + (-2 - 0)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -415*t**2 + 640764*t - 6172. Give l(1544).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414894 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {f: 6, v: 5, n: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -26) + -5 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2079, 16682, 56331, 133548, 260855, 450774, 715827?\n\"Answer: 2087*x**3 + x**2 - 9*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*q**3 - 1000*q**2 + 5665*q - 1210.\nAnswer: 5*(q - 11)**2*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406090 or 406089?\nAnswer: 406089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 100. Suppose 3*q - 10 = -y. Solve q*z - 6 = -u, 0*u + 3 = 3*u + z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/28764 and -91\/1093032.\nAnswer: 1093032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3\/2, 5, -250\/59?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-3)\/12*3). Let m be 1 + i\/(-3)*-3. Which is the closest to -1? (a) m (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 - 8*f**2 - 8*f - 6. Let u(g) = -7*g**2 + g**2 - 3*g - 2 + 3*g**2 - 2*g**3. Let y(w) = -3*s(w) + 8*u(w). Differentiate y(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 26377896947.\nAnswer: -26377896940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/6 + w**2\/2 - 2. Factor b(n).\nAnswer: n*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbu when three letters picked without replacement from uubuuubuuubu?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302322311 - 2121?\nAnswer: -1302331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/422682 and 43\/563576.\nAnswer: 1690728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 - 976602?\nAnswer: -976550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, -0.5, 10.7, 1\/11 in descending order.\nAnswer: 10.7, 3, 1\/11, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 38 - 20 = 4*u, 0 = -2*u - 2*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 34. Solve 0*a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 12*k**3 - 50*k**2 + 36*k.\nAnswer: 2*k*(k - 2)*(k - 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + -1)) + 2407 + -2400 - 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 1. Let t be (-6)\/4*2\/3. Let k be q(t). Suppose 0*y + k*y = 9. Solve 5*s - 3*c + 18 = -y, -4*c = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -400 - -439. Suppose 5*i - f = 16. What is the remainder when 19 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**3 + p. Let f = 33 - 29. Suppose -4 = -f*x + 5*j, 3*j = j. Determine n(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -382 - -319.1. Let s = z + 66. Round s to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8316 + -8302. Let g(m) be the third derivative of m**5\/60 - m**4\/6 + m**3\/3 - m**2. Let w be g(6). Calculate the highest common divisor of w and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 6, w: 4, y: 2, u: 3}. Give prob of picking 1 w and 2 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*g - 99*g + 228*g)*(-3 - 2 - 2)*(g**3 - 4*g**3 - 3*g**3).\nAnswer: 1218*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 728550.4 to the nearest one hundred.\nAnswer: 728600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y - 4. Let l(g) = -6*g - 6. Determine -2*l(q) + 3*m(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 32*v**3 - 6*v**2 + 6*v + 7. Let r(w) = -63*w**3 + 11*w**2 - 11*w - 13. What is -6*r(h) - 11*s(h)?\nAnswer: 26*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 = -10*r + 811. Suppose -b - 5*s + 26 = 0, 4*b + 5*s = -22 + 141. What is the highest common divisor of b and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, s: 2, f: 5, q: 8}. What is prob of picking 1 f and 2 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -49.\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*p - 2 = 25, 5*l - 4*p = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21040 or -21039?\nAnswer: -21040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 29. Let a(d) = -2*d**2 - 19*d - 7. Let r(b) = b**2 + 10*b + 4. Let n(j) = g*r(j) + 4*a(j). Give n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, o: 2, n: 8, p: 2, s: 1}. What is prob of sequence pn?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - 2?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14196 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - 3*k. Let j(g) = -g**2 + 12*g + 29. Let y be j(14). Let s(z) = y + 209*z - 1 - 210*z. What is -q(f) + 3*s(f)?\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-2)*(-3)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. What is the second smallest value in r, 2\/3, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2030*s**2 - 34 + 10*s**4 - 2030*s**2 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2429 - 2430. What is the closest to 4\/5 in -2.2, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63839.\nAnswer: 63839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yen when three letters picked without replacement from hyenmhss.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*b - 6*b. Suppose 18 = 5*q + t + 3*t, b*q - 15 = -5*t. Suppose -q = -3*d, -2*j + 2*d + 591 = 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(1 + 2\/(-4)). Let n be (-2)\/(-4) - (-51)\/j. Suppose 2*t = -5 + 31. What is the greatest common factor of n and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19894 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: Find the second derivative of -72*x - 212*x - 2*x**2 + 774*x**3 - 38*x wrt x.\nAnswer: 4644*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195904 and 21400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 5\/12*a**4 - 10*a**3 + 5*a + 175\/2*a**2 - 4. Factor w(o).\nAnswer: 5*(o - 7)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*g + 20 = 0, 388*g - 389*g + 4 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.139 - 0.161. What is the third smallest value in 3, 1\/3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2824 (b) 2\/45 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4588178 - 300?\nAnswer: 4587778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 10122.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 7 (c) -2\/11 (d) 1 (e) -4\/7 (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2870 + -1190. Suppose -23*t = -17*t - b. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -188 + 8148042?\nAnswer: 8147743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 178012 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260694154?\nAnswer: 2, 7, 41, 79, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:04 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.21 + 30.25566. What is l rounded to 3 decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7716981999817 and -0.059.\nAnswer: -7716981999817.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -205, -638, -1439, -2722, -4601, -7190, -10603?\nAnswer: -14954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74277584603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 28*u + 7. Let w be r(-18). Let j = -179 + w. Solve -3*y = -3*s - 2*y + 4, -j = -s - 3*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-6)*756504\/41496?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-37400)\/220*(-3)\/(-6)*1\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 + 1 = 4*s, -4*s = -5*v + 12. Solve -s = -q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45462884*u**4 - 12931192*u**2 wrt u.\nAnswer: 1091109216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*8 + 1. Let v be (-35)\/14*(-4)\/t. Let p = -3 - -2.7. What is the closest to -3 in 0.2, v, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b + 87 + 31*b - 104 wrt b?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1\/12, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41912, 83821, 125720, 167603, 209464, 251297, 293096?\n\"Answer: -r**3 + r**2 + 41913*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 4 + 2)*(-6*j + j + 3*j) + 2*j + j - 4*j)*(5*j**2 - 5*j**2 + 5*j**2)*(0*j + 0*j - 4*j) to h*j + b*j**4 + y*j**2 + k*j**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + (sqrt(1584) + sqrt(1584) + 5 + sqrt(1584) - sqrt(1584)) + sqrt(1584) - (sqrt(1584) + 5 + -4)) + 1)**2.\nAnswer: 192*sqrt(11) + 6351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-11) - 473463\/(-99).\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:36 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1443060 divided by -10\nAnswer: 144306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 14636308?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*q + 2*d + 191, -5*q + 7251 = 4*d + 7288 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, 1, -96 in decreasing order.\nAnswer: 17, 1, -3, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054562728 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 118.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30229010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71943 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514306, -514314, -514324, -514336?\nAnswer: -514350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 0.1 (b) -1 (c) -14\/5 (d) 10\/3 (e) 11 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 2. Let v be h(-2). Suppose 3*c - v*c = -2*u + 93, -u + 259 = -3*c. Let w = c + 552. Is w 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 531340 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 155526.\nAnswer: -933156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 6 = 0. Suppose 2*v = -2*o + 4, 5*v - v + 16 = 2*o. Let f be v\/i + 32\/6. Solve -4*l + f = 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f - 93 = 197. Factor -30*v**4 + 15*v**2 - 6*v**f + 30*v - 12 - 75\/2*v**3.\nAnswer: -3*(v + 2)**3*(2*v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 26*j - 34*j - 20*j.\nAnswer: -3*j**2 - 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 5. Let y(s) = -s - 1. Let v(w) = w**3 + 9*w**2 - 11*w - 5. Let l be v(-10). Suppose 3*f + l*z = -22, -f - 2 = 5*z + 22. Give f*t(p) - 4*y(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -35. Let f = 248.1 + y. Round f to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10688895.\nAnswer: 3, 5, 7, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1804 and 2296.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 547 - 1432. Suppose 4*z = -0*r - 2*r + 64, 5*r = 2*z + 184. Calculate the remainder when x is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + k = 5*w - 30, 3*w = 5*k - 13. Suppose 3*y = -3*h - 0*y - 3, -w*h = 2*y - 6. Suppose h*t = -t + 55. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 12860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 419, 764, 1043, 1256, 1403, 1484, 1499?\n\"Answer: -33*x**2 + 444*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-7\/3)*l**3*l*l**(1\/4)\/l assuming l is positive.\nAnswer: l**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 281130800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2 - q + 3. Let r be f(4). What are the prime factors of 78 + r + (-3 + 1 - -4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1224, 12161, 42530, 102045, 200420, 347369, 552606, 825845?\n\"Answer: 1619*s**3 + 2*s**2 - 402*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5 + 4\/1). Suppose 5*w - 7 = x*w + j, 0 = -5*w + j + 15. Suppose -k - 1 = -4*s, 2*k - w + 6 = -2*s. Sort 4, s, -4 in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -321, -404, -431, -384, -245, 4?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*m = -19, -4*c + 16*m + 2 = 11*m. Suppose 3*j = 2*j. Solve j*b - c = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612830000 rounded to the nearest 1000000?\nAnswer: 2613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/51)*a*a**3\/a)\/(a**(4\/11))**(-21) assuming a is positive.\nAnswer: a**(5989\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 63*k**2 + 2 - 27*k**2 - 4*k**2 - 9*k**2 as z + s*k + v*k**2 + p*k**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 724, 4642, 15266, 35944, 70024, 120854, 191782?\n\"Answer: 558*t**3 + 5*t**2 - 3*t + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5636829 (base 10) to base 5\nAnswer: 2420334304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -95. What are the prime factors of (3 + 6 + -21)\/(w\/(-10))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 27*q + 17. Let j be m(13). Let c(v) = v**2 - 16*v + 23. Let g be c(15). Solve 6*u - j = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.15, 5, 1\/3 in decreasing order.\nAnswer: 5, 1\/3, -3.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 13, p: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2373 - 41*l + 74*l - 49*l.\nAnswer: -16*l - 2373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16653 + 16154 - z + 2*z)*(0*z + 21*z - 3*z).\nAnswer: 18*z**2 - 8982*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 30*l**2 - 66*l - 41. Let p = 99 + -56. Calculate the remainder when p is divided by y(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006020093 to 6 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 0.51. Suppose -2*b - 207 + 594 = -f, 3*b - 5*f - 591 = 0. Let u = b + -1346\/7. What is the second smallest value in c, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbss when four letters picked without replacement from {b: 3, d: 7, s: 7}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + h + 3*h - 30, 0 = -q + 5*h - 3. Let c = 27 + q. Suppose 3*b - 17 = -c*r, 7 = -4*b + 3. Solve -4*g - g = r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 60031336.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65497681.\nAnswer: 89, 373, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 97*r**2 - 4618*r + 622. Give j(-132).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -0.9?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppsvsvpvpvsvv. What is prob of sequence vv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*h + 4*r, -5*r + 153 - 83 = h. Calculate the remainder when 262 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 345404 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/26 in 2, 4\/3, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42375537, -84751081, -127126623, -169502163, -211877701, -254253237?\nAnswer: -296628771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157115, 157116, 157117, 157118, 157119?\nAnswer: 157120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*n**3 - 2 + 5*n + 2 - 3*n wrt n.\nAnswer: -132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098 is divided by 1095.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 = 2. Let s be (-2 - (0 - 2))\/(-2). Sort t, s, -2 in descending order.\nAnswer: t, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2748833?\nAnswer: 2748833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 2, s: 2, e: 2}. Give prob of picking 1 o, 2 e, and 1 s.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3213 = 3129. Let h = -1141 - -1616. Suppose -7*d + r*d = h. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8489800 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -6472. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*y**5 + 2*y**4 + 537*y**3 + 219323*y**2?\nAnswer: -25320*y**2 + 48*y + 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32017716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1983716, -3967429, -5951142, -7934855, -9918568, -11902281?\nAnswer: -13885994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.60569mm to centimeters.\nAnswer: 8.260569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 8*l + 30. Suppose 2*k = 5*k + l. Is -3\/23 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*p**5*y**2 + 3*p**4*y**3 - 366*p**2*y**3 - p**2*y**2 - 2*p wrt p.\nAnswer: 3720*p**2*y**2 + 72*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -57*s - 2. Let h be w(-2). Suppose -115 = -4*o - 5*x, 2*x + h = 4*o + 6*x. Let z = 25 - 15. What is the greatest common divisor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:20 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(32\/(-64)*(-9)\/(-6)).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/9 - ((-9911)\/9 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = 6*t, t = -5*g + 2. Let i be (g + 3\/24)*-6. Which is the closest to 0? (a) 0.5 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 97005.\nAnswer: 291015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187306 and 97588.\nAnswer: 11612972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 - (0 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + r - 19 = 0, -5 = 3476*m - 3477*m + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, 1, -5, 5, 22 in decreasing order.\nAnswer: 26, 22, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from {i: 2, p: 9}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -1.85?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*g**3 - 165*g**2 wrt g.\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.8006kg in tonnes?\nAnswer: 0.1738006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19.2694 and 0.3?\nAnswer: 19.5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.22971269 - 17.23. Round r to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6974, 8827, 10682, 12539?\nAnswer: 14398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Let q be r\/(-14) - 161\/(-49). Solve -q*z - 1 = 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87\/188 + 10\/47. Which is the closest to f? (a) -0.5 (b) -5 (c) -2\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 5. Let l = 4 - 11. What are the prime factors of a(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/321900 and 19\/64380.\nAnswer: 321900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8083260 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216 + 29*f**2 + 216 + (f - 3*f + 0*f)*(-3*f + 4*f + f) + f + 2*f**2 - f.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*l = 1158 + 1464 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 74. What is the common denominator of -6*m\/28 - -3 and 113\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 16. Suppose h + y*u = -4*h, u = h. What is the closest to 1\/2 in -0.5, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - m - 1. Let p = -81 - -84. Suppose 2*h + p = h. Let u be w(h). Solve -u*n - 3*j = -12, 0*j - 1 = -n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - 0.7. Let a = -127027 + 127028. Put h, 3, a, -6 in descending order.\nAnswer: 3, a, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830302 is divided by 3389.\nAnswer: 3386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9664.315t?\nAnswer: 9664315000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + ((-2724)\/114 - 0)*20\/40\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*d + d. Suppose d = 3*j + 3*j. What is the remainder when 80 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 570 - 147 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -28. Solve -u = l + 8, u + l = -s*u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) + (-470)\/(-90). Suppose 2*r - 20 = -2*v + 6, 0 = -3*r - w*v + 37. Differentiate -17*p**3 + r*p**3 + 2 + 5*p**3 wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28.5 in 3\/7, 19, -0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 62*l**2 - 54*l + 110. What is the units digit of t(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3236 - 3236 + 411*i)*((2 + 5 - 4)*(0*i + 2*i - 4*i)*(-3 + 6 - 1) + 2*i + 0*i - 4*i + (0*i - 3*i + 2*i)*(-1 + 3 - 1)).\nAnswer: -6165*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0381847 to four dps.\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1514790 in 2\/5, 0.5, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3 = 4*q, -27*q + 2 = -26*q - 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59714 or -2?\nAnswer: 59714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2771 - 5*x**2 + 3*x**2 - 3022. Let v(t) = -t**2. Give v(m(p)).\nAnswer: -4*p**4 - 1004*p**2 - 63001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l**2 + 151814*l - 491368 = 0 for l.\nAnswer: 68\/21, 7226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 + 95 = m, m - 5*z = 80. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 626.6337 to 1 decimal place.\nAnswer: 626.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1411)\/(-153) - 9)*4 + -2?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) 0.2 (c) 1739\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4961 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5159, 21393, 48449, 86327?\nAnswer: 135027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -119187295.\nAnswer: -23837459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -169 in 9, -2\/13, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o - 2*y + 6 = 0, -5*o + 9 = 3*y. Suppose 5*k - 35 = -5*w, o*w + 20 = 4*k + 2*w. What is the remainder when 4 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320297 divided by -227?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 1)*(-11)\/(-22). Suppose j = 2*h - 9*h + 28. Suppose -7 = -5*b + z + 7, b = -h*z - 14. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1130100?\nAnswer: 1130110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = -135. Let u be ((-6)\/9)\/(6\/v). Put -0.5, 1\/2, u in decreasing order.\nAnswer: u, 1\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let k(n) = 3*n**2 - 3*n. Let u be k(w). Let l be (u\/16)\/((-9)\/(-6)). What is the biggest value in -3\/4, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 2. Let r(m) = 6*m + 7. Give 8*j(x) - 3*r(x).\nAnswer: -2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 52197*d - 3292380 = 0. What is d?\nAnswer: -63, 52260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) 0.56 (c) 12 (d) -0.3 (e) -1 (f) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0350588 to 3 dps.\nAnswer: -1.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:09 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22338b (base 12) to base 15\nAnswer: -ab68e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452951 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(84)\/sqrt(3) - sqrt(28))\/sqrt(7) + -2*sqrt(16))\/(-6*-3*sqrt(4)\/sqrt(2)) + -1)**2.\nAnswer: -4*sqrt(2)\/3 + 737\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 16\/5, 1\/2 in decreasing order.\nAnswer: 9, 16\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2046*h. Let o(m) = m**2 + 1160. What is y(o(l))?\nAnswer: -2046*l**2 - 2373360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjjbjwb. What is prob of sequence bwb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46482945 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -107658*i + 52. Let u be l(-6). What is u rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 55 = 5*r, 2*i - 130 = -3*r - 97 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991333848?\nAnswer: 2, 3, 3929, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 21*o - 45. Let y be p(-7). Suppose 0*j - 16 = -y*j, 3*t - 3*j = 600. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/6, -613, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/705 and 37\/282.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444526 (base 13) to base 9.\nAnswer: -3022217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*t**3 + 148*t wrt t?\nAnswer: 642*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 4*i + 507*z - 509*z, -3*i + 2*z + 72 = 0 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2. Let y(t) = -3*t**2 - 3*t. Let g(a) = a. Let h(b) = 3*g(b) + y(b). Calculate c(h(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1)*(42604 - 42604 + 2655*x + 10585*x) in the form j + y*x and give y.\nAnswer: -26480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (167948\/64889)\/((-10)\/(-17)). Factor -2\/5*a**4 - 14*a**2 + 10*a + l*a**3 + 0.\nAnswer: -2*a*(a - 5)**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -4)*(-28)\/70. Suppose u - 1006 = -b, -4*u + 1208 + 2820 = h*b. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + o - 4*o + o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.888763869 to 4 decimal places.\nAnswer: -0.8888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 - 5*v + 9. Let l(c) = -6*c**2 - 4*c + 8. Calculate 4*g(u) - 5*l(u).\nAnswer: 6*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 - 1788*x + 266412 = 0.\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 - 13*u + 5. Let w(g) = -9*g**2 + 22*g - 9. Determine -3*w(p) - 5*z(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*r = 89, 4*g + 2*r + 74 = 2*g. Let b = g - -40. Solve -k - 5*l - 18 = 0, 4*k - 4 = l + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5140850332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**1)**(2\/67)*i**(2\/15)\/i**(1\/2))**(1\/14))**(2\/35) assuming i is positive.\nAnswer: i**(-677\/492450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - (-3 - (-2891)\/(-21)). Suppose 0 = -4*m - m + h. Solve m = -5*y - 4*n, -3*n - 12 = 2*y + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1722 and 113078?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4788 - -5.\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 15. Let w be n(27). Which is bigger: -67 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6668724593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, y: 3, w: 2}. Give prob of sequence wyws.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let f = -726 - -725.9. Which is the closest to f? (a) -4 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.7 + -18.3. Let q = 26 + -14. Let m be (-2)\/4 + (-2)\/q. What is the closest to m in -2, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:32 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68\/16727387 or -1?\nAnswer: -68\/16727387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1 (c) -0.2 (d) 0.4 (e) -223 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-4 - (2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 - 256. Suppose -805 = -2*l - 2*l - 5*p, 599 = 3*l - p. Let k be l\/15 + s\/(-6). What is the greatest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -722 divided by -32?\nAnswer: 361\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 + -123 + 2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 13*s**4\/12 - s**3\/3 - s**2 - 698*s - 1. Calculate x(-4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82236 = -2792*h + 4316 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 999 - 998.487. What is v rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 42*g - 98. What is the remainder when 1702 is divided by m(-17)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 51. Let i be 980\/(-588)*(-2)\/10. Which is the nearest to 0.1? (a) i (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.705 + 64.295. Which is the closest to 0.1? (a) f (b) -2\/13 (c) 1\/2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 + 24.5. Let q = -17.56 - 0.44. Let x = q + r. What is the third biggest value in x, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/21*-12)\/(0 - -26). What is the closest to 0 in v, 2\/5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5*z - 96*j**3*z**2 + 2*j**3 - 3*j**2*z - 4*z**2 - 12 wrt j?\nAnswer: 240*j**2*z - 576*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 6*r)*(12*r + 16*r + 5*r) + (2 + 2 - 2)*(-3*r + 3*r + 3*r**2).\nAnswer: 204*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-219)\/24 - (-7 - 2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 64. What is the highest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3993?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -28*n + 48. Let r(a) = 7*a - 11. Let u(k) = -2*d(k) - 9*r(k). Let q(m) = -7*m + 4. Give 3*q(h) - 4*u(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1010011000101100 (base 2) to base 10\nAnswer: -42540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6205 (base 10) in base 13?\nAnswer: -2a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -n + 3*n. Let w = -6 - n. Suppose i + s - 9 = 0, -2*s + 5*s - 35 = -5*i. Solve -i*j + 12 = -2*o, -o = -4 + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q - 1020. Let v = q + 261. Solve j + j = -v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 3*o**2 - 4*o**2)*((-2 + 2*o + 2)*(0 + 0 - o - 1 - o + 1 + (-2*o - 2*o + 2*o)*(0 + 1 + 1) - o + o + o) + 1 - 2*o**2 - 1).\nAnswer: 84*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/5 + 3*r**3\/5 - 3*r**2\/5 - 11*r\/5 - 6\/5.\nAnswer: (r - 2)*(r + 1)**2*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254003, -253988, -253969, -253946, -253919, -253888, -253853?\nAnswer: -253814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + 3*d - 8. Let h be f(6). Suppose 0*m = -5*m + h. Solve -m*a + 3*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972 + 1241094.\nAnswer: 1240122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 = 3*t, t - 12 = 2*r - 0*r. Factor g**2 + 4*g**3 - 3*g**t - 5*g**2 + 0*g**3 + 7*g**4 - 4*g.\nAnswer: 4*g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j**2 + 9 - 6 - 1 - 4.\nAnswer: -65*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424379 (base 10) to base 13.\nAnswer: 11b217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-24)*-3 + (45 - 2). Let d(z) = -2*z**3 - 2*z**2 + 5*z - 2. Let b be d(-4). Let s = b - m. What is the greatest common factor of s and 380?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 2*t)*(2 + 0 - 3) - 2*t + t + 3*t + 4*t - 4*t - 4*t + (3 + 1 - 1)*(-t - 2*t + t).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 101?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340, -342, -344, -346, -348, -350?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4 + 2*j**2 + 3*j**2 + 5*j + 0*j**2 + 19*j. Suppose -13 + 81 = 4*m. Calculate the remainder when q(-6) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*z**4 + 12233*g*z**2 - 11844*g*z - 5*g - 253*z**2 - z - 4 wrt z.\nAnswer: -24*g*z**2 + 24466*g - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -5.\nAnswer: 131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/9, 1\/2, -1\/2346, -0.18 in decreasing order.\nAnswer: 1\/2, 2\/9, 0.2, -1\/2346, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 5*m - m)*(20*m - 36*m - 32*m)*(2 - 2 - 2*m)*(-10*m**2 + 0*m**2 - 2*m**2).\nAnswer: -1152*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 758\/207 + 1\/207. Let k(h) be the first derivative of j*h**3 + 0*h**2 + 13 - 12*h. Differentiate k(q) with respect to q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12392, 101806, 345262, 819782, 1602388, 2770102, 4399946, 6568942?\n\"Answer: 12837*r**3 - r**2 - 442*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 6*w + 7. Let x be i(5). Suppose -11*f + 17*f + 2 - 2*f**2 + x - 8 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0234018 to 4 decimal places.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1017 - -1021. Sort -7, d, -3, 13 in decreasing order.\nAnswer: 13, d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 1116?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15128.33l to millilitres.\nAnswer: 15128330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4\/13, 10 in increasing order.\nAnswer: -4\/13, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:10 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1 in decreasing order.\nAnswer: 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30490, 101210, 219076, 384088, 596246, 855550, 1162000?\nAnswer: 1515596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*o**4 + 740160*o**3 - 7095924*o**2 - 2927192*o - 295680 = 0. What is o?\nAnswer: -1\/5, 10, 7392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1420 - 1420 - 7*u)*(3*u - 3*u - 4*u**2)*(u - 2*u + 2*u)*(6 + 5 + 1 - 4) to the form f*u**3 + s*u + y*u**2 + d*u**4 + w and give d.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4400, -4397, -4394?\n\"Answer: 3*k - 4403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8339 and -22.\nAnswer: -8361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 315247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/51 and 53\/833.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 9*t = -2475. Let j = -126 - t. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlqlcucnulql. What is prob of picking 1 d and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/16 + (-1067)\/22 + 7. Let g(t) = 13*t + 571. Calculate g(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 16*j**2 - 10*j. Let s(l) = -l**3 + l**2 + 5*l**2 - 3*l + 0*l - l**2. Determine 5*m(p) - 16*s(p).\nAnswer: -4*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 991017 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 380 = -4*o, 1893*l - 3484 = -38*o + 1889*l for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 27 - 36 - 38 - 15)*(-2*k + 3*k - 2*k) to the form j*k + n and give j.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 4. Let d be j(-7). Does 11 divide d - 19*(-3)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 109334104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (6\/3)\/((-7)\/((-154)\/4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 310985.\nAnswer: 1554925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453, -452, -451, -450, -449?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -184\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/9 + 126*l**2 + 13648*l\/9 - 46536 = 0?\nAnswer: -554, -27, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2 - 16*t - 4*t + 24 + 0*t**2 + 3*t**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-20) + 12\/8 + -2. What is the closest to -1 in -0.3, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - 4*d - 8, 4*a = -2*d - 4. Solve a = -2*w + 6*w + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(41*n - 31*n + 53*n + 75*n) in the form d + z*n and give z.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 17, c: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 7:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/256 and 85\/1248?\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 12*g**2 - 6 + 2*g**2 to the form p*g**2 + o*g + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -274 times 2087\nAnswer: -571838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 30025 = o, -13*k + 150170 = 5*o - 18*k. What are the prime factors of o?\nAnswer: 59, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x + 132. Let t be r(-13). Solve 0 = 3*n - 4*u - 15, -t*n + 10 = -0*n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + l + (0*l + 0*l + l)*(-4 - 1 + 4))*(2*l - l - 6*l).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 25\/5)*(-4)\/3. Let r be 6\/p*272\/102. Solve -9 = n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -1\/4*x**4 + 4*x**3 + 4*x - 1\/2*x**2 - 260. Give p(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311, 2074, 3841, 5612, 7387, 9166?\n\"Answer: 2*n**2 + 1757*n - 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -46. What is the biggest value in u, 0.5, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -720287?\nAnswer: -67\/720287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*m + 2 - 12, -3*u - m = -4. Suppose -30 = -16*w + 10*w. Suppose u*f + 32 = w*h, -4*h = -2*h + 4*f - 32. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*f = 110, -10 = 3*q - 2*f + 60. Let t = 96 + q. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16888 and -128.7686441.\nAnswer: -128.9375241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 - (10 - 11). Suppose l*x + 90 = 75. Let f = 48 - x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w + 17446 = -22408 + 9614. Does 32 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 15. Suppose 3*v + 3*o - 153 = c, 0*v + v = 5*o + 33. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28 and -43\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 + 5 + i - 2. Let v = 17 + -2. Suppose 3*m - 3*a + 33 = 0, -10 = 5*m + a + v. Calculate x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -6\/5273, -2, 4?\nAnswer: -6\/5273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + (3*-2*sqrt(300) - sqrt(300) - (1 + (sqrt(300) - (sqrt(300) + 1)))) + -3) + -5)**2.\nAnswer: 21000*sqrt(3) + 368400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29821 less than 4324360095?\nAnswer: 4324389916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2 + 8086*c + 3714933 = 0.\nAnswer: -7597, -489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9. Suppose p = -2*m - 3*m + 20. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + ((-1 - -3) + -6 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5060)\/(-2277) + (-16900)\/4446?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 divided by 4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (10 - (-7 - -12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 133. Let d = 535\/4 - 437\/4. Determine r so that 77\/2*r**4 - k*r - 73\/2*r**2 - 2 + d*r**5 - 17\/2*r**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 265*x**2 - 386*x - 161. What is h(131)?\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22744, -22751, -22758?\n\"Answer: -7*d - 22737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184456 by 46114.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) + 0 + sqrt(192))*-4 + 1*1*sqrt(192) - (-3*(sqrt(192) - (sqrt(192) + 1)) + -2)) + -5)**2.\nAnswer: 672*sqrt(3) + 9444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 0*n**2 + 1\/2*n**6 + 0*n**5 - 1\/3*n**3 + 0*n**4 - 4 + 0*n. Find the third derivative of y(d) wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869742880043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*c - 61790*a*c**2 + 298718*c**2 wrt a?\nAnswer: 2*a*c - 61790*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvkdwvwwnnvvee. Give prob of picking 1 d, 1 v, and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13017103 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 j = -45 - -45. Suppose -12 = -2*w + 3*o - 5*o, j = -3*w + o + 14. Suppose 0 = -4*c + 16, -w*h - c = -3*h - 124. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636645907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 0) + (-16 - -41) + (-9 - 8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-5*30\/(-200).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2728348 divided by -2\nAnswer: -1364174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1257*o - 36548. Determine z(-29).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - f - f = -11, 5 = -4*v + 3*f. Let w = -23 - 17. What is the common denominator of 1\/(4\/(-95)) - v and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100.76 - -2.24. Let d = z + -107. What is the biggest value in 1, d, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 425 + -2316. Does d = -1891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0812 - -53632\nAnswer: 53631.9188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f*(f**(-2\/5)*f)\/f*(f\/(f\/f**(2\/5)))**(-6))**(-31) assuming f is positive.\nAnswer: f**(899\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 620*f - 1716. Give g(3).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233370282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 22 = -0*p - 2. Suppose 2*g = g + 3. Find the first derivative of p*m**3 - 18 - m**g - 8 wrt m.\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 20310 + 1000. List the prime factors of b.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -29*z**2. Let c(d) = 2 - 2 + 0 - d**2. Give o(c(r)).\nAnswer: -29*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -296*v + 2. Let m(l) = 138531*l. What is m(n(h))?\nAnswer: -41005176*h + 277062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:26 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j + 5. Let x(u) = -2*u - 5 + 3 - 3*u. Suppose 39 = 6*r - 3. Suppose r*o - 13*o - 48 = 0. What is o*x(g) - 3*f(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1\/(-2))\/(25\/300)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2 + 54\/(-72))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - c - 5 = 1, 4*g = -2*c - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 - 10. Let c be y(0). Let t = 14 + c. Let w(x) = -3*x - 30. Let v be w(-11). Is t greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13003043 + 1114?\nAnswer: 13004212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 13*g**3 + 106)*(16 - 8 + 2)*(-1 + 1 - 1) - g**2 + g**2 - 2*g**3.\nAnswer: -132*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18366180 divided by -70?\nAnswer: -262374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 4. Let a = 12 + x. What is the third smallest value in a, 2\/15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 94 + 6. Suppose -x - 4*i = -4*x - 38, -4*i + l = 0. Is (-801)\/(-6)*(-4)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 640 - bb9?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - p**2 + 77*p**3 + 5 + 79*p**3.\nAnswer: 156*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 52, 58, 66, 76?\n\"Answer: h**2 + h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f - 405 = 119 - 80 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23\/67, -5, -42?\nAnswer: -23\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 6. Find the first derivative of 44 - 88*k**u - 1543*k + 77 + 1543*k wrt k.\nAnswer: -264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1329575*j + 20 - 4 = -1329620*j - 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -234, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = 11. What is the remainder when ((-114)\/k)\/(3\/4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3196 by 6819.\nAnswer: -3196\/6819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 13. Let p be f(-9). Suppose 3*s - 20 + p = 0. Let x = 41 - s. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + 2 + 0. Let u = w - -3. Suppose -2 = -u*x, 4*p + 3*x - 39 = p. Calculate the highest common factor of 60 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 3*r - 1. Let f(l) = -6*l**2 + 114*l - 545. Let d be f(11). Let n(t) = 11*t**2 - 9*t + 3. Calculate d*m(j) - 6*n(j).\nAnswer: 2*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from soqmansm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1110, -1066, -988, -870, -706?\n\"Answer: s**3 + 11*s**2 + 4*s - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r**2 - 8*r**3 - 2*r**3 - 10*r**2 in the form k*r**2 + p + c*r + h*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbw when three letters picked without replacement from {w: 1, b: 1, j: 3, z: 4, l: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 3*g - 1. Let b be w(-2). Let c = 31 + -25. Solve c*z = z - b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*y**3 + 4\/3 - y**2 + 0*y = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**19\/n)\/n)\/n)\/n*n*n**(-3))\/(n*n**(2\/17))**15 assuming n is positive.\nAnswer: n**(-64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.5 and 0.3.\nAnswer: -12.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*i - 147. Let n be (-71)\/(6\/(-27) + i\/27). Let f = n - -111. What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 33 = 5*a, 8*a = -4*q + 40*a - 12*a - 15*a - 47 + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 381581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 10 = -6*c. Suppose 3*f + f - 5*d + 65 = 0, -c*d + 5 = 0. Let a = 18 + f. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 33310*i**2 + 3*i + 1. Let l be s(-2). Suppose 0 = x + 5*n + l, 5 = -4*n - 7. Let p = x - -237220. Round p to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 1, -239, 3 in ascending order.\nAnswer: -239, -7, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 5\/3*o**6 + 7*o - 6 + 0*o**4 - 1\/10*o**5 + 61\/6*o**3 + 0*o**2. Find the second derivative of q(t) wrt t.\nAnswer: 600*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2053*d**2 + 618*d?\nAnswer: 4106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2160 and 2504.\nAnswer: 676080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 5. Let u(n) be the second derivative of 2*n**5\/5 - 6*n**2 + 2*n. Calculate 12*b(r) - 5*u(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:28 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15028700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 527*m**3 - 14*m**2 + 4*m - 14. Let u(v) = -176*v**3 + 4*v**2 - v + 4. Give 2*i(z) + 7*u(z).\nAnswer: -178*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -5 - 17 - (-1 + -9 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 7 = -f, 2*v + 5*f - 56 = -81 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15786.28kg in micrograms?\nAnswer: 15786280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -222 - -270. What is the units digit of (-1149)\/(-42)*10 - a\/(-112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 3.8. Let b = 2903.3 + -1474.2. Let s = b + -1429. Sort 5, -1, x, s.\nAnswer: -1, s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.06 - -92.06. Is -1\/4 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 293*s**3 + 454?\nAnswer: 879*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4891176, -9782358, -14673540?\nAnswer: -19564722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 take away -353?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7020148km to nanometers.\nAnswer: 702014800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/50)\/(14\/(-10)). Let n(m) = -m**3 + 4*m**2 - 2*m - 1. Let f be n(3). Suppose 3 = -5*i + f*i. Is t at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 358380.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/9520*16)\/(3*5\/210)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1110.7 + -1\nAnswer: -1111.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 45. Let z = b - -32. Sort 4, z, -5 in descending order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -45.7. Let x = l - 2.2. What is the nearest to 1 in 0.4, 2\/3, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 27678?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 6:40 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8866678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7308 and 20200124.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2 + 11817*n - 1252720 wrt n.\nAnswer: 2*n + 11817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -18. Let o = 18.1398058 - -0.8601292. Let p = o - x. What is p rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*n + 1156878, 2*c = -n + 255210 + 516029. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 1394, 3680, 6890, 11030, 16106, 22124, 29090?\n\"Answer: w**3 + 453*w**2 + 2*w - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/317 - -347\/4755. Let u(x) be the second derivative of 0*x**2 + 1\/75*x**6 - 1\/30*x**4 + 1\/50*x**5 + 3*x - m*x**3 + 0. Let u(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*i**3*k + 235*i**3 - i**2 - 14*i*k**3 wrt k?\nAnswer: -64*i**3 - 42*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 604 * 0.03.\nAnswer: 18.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + 2524 - 2525 + 6*z**2 + 6*z**3 - 75*z**3 to v*z + k*z**2 + l*z**3 + a and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:06 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.6786464 to three dps.\nAnswer: -11.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 - 7*y - 3. Let j be u(7). Suppose 133*s = 136*s + 15. Let n(v) = v**3 + 4*v**2 - 5*v. Let w be n(-5). Sort w, s, j.\nAnswer: s, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 7*i - 0. Calculate the least common multiple of i and 27\/3 + 1\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-156)\/(-42) + (-2)\/(-7). Suppose 3*p + 5 = 3*i + p, -3 = -v*i - p. What is the third derivative of -c**6 + i - 9*c**2 - 1 + 6*c**2 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4046 = 12*r + 2*r. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -467.7 * -0.1.\nAnswer: 46.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 792 - 716. Calculate the remainder when m is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 8162 = -1310. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(833))**2 - sqrt(187)\/(-2*sqrt(11))*-3.\nAnswer: -59*sqrt(17)\/2 + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 115801 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -143131?\nAnswer: -143123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 9.1.\nAnswer: 737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1181 + -12.1181. Let n = -0.7 + 0.2. What is the nearest to o in 3, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 17*g**2 + 74*g - 659. What is i(16)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12459 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/((-550116)\/126)*(-20)\/25.\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30 - -1 - (-1494 - -1533)) + (7 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 471415170 minus -0.04?\nAnswer: 471415170.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 0*f + 0*f**4 + 0*f**3 + 2 - 1\/6*f**6 + 0*f**5 - 3\/2*f**2. Find the second derivative of a(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 55*i + 111. Solve 0 = -4*s - i*z + 26, 4*s = z + 6 + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 3:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6394614 - 6300450 = -798*c for c.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, v: 5}. What is prob of picking 2 f?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/42035 and 31\/126105?\nAnswer: 126105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -7*z - 7. Let y(x) = -4*x + 1. Calculate y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 12\/(-9) - ((-564)\/36 + 16). Let -44\/9*q**2 + f - 8\/9*q = 0. What is q?\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6816923699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-8\/5))\/(m*m**(-6)\/m*m*m*m*m) assuming m is positive.\nAnswer: m**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328937 is divided by 23490?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/4143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/70 + 38\/14. Let k(a) = -a + 1. Determine k(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272346030 by -1177.\nAnswer: 231390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 1128*z + 79524.\nAnswer: 4*(z - 141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*r*t**2 + 5*f*t**2 - 3*f - 5*r*t**3 - r - 9 wrt t.\nAnswer: -2*f*r*t + 10*f*t - 15*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -24, -1, -70, 3 in descending order.\nAnswer: 33, 3, -1, -24, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 718 + -508. Let f = 250 - y. Sort f, 1, -2 in descending order.\nAnswer: f, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11532 = a - 4*l, 1076 + 10431 = a + l. What are the prime factors of a?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101464207 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a\/a**(2\/3)*a)\/a)\/a*a\/(a**3\/a)*a**2\/((a\/(a*a*a*a\/(a\/a**(-6))))\/a))**(-21))**43 assuming a is positive.\nAnswer: a**602","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63\/2*s**2 - 46\/3 - 116\/3*s - 25\/3*s**3 - 1\/6*s**4.\nAnswer: -(s + 1)**2*(s + 2)*(s + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000256844 to six decimal places.\nAnswer: 0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 656 and -58129?\nAnswer: 58785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1028361?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205.5 + -205.4. Which is the closest to o? (a) 5 (b) -1.9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-18))\/((-6)\/(-27)). Suppose -6*x + x = -s*x. Suppose 2*f + x*f = 12. Solve 0 = 3*h + f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31373?\nAnswer: 137, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 347792521 less than -7?\nAnswer: -347792528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**2 + d - 4. Let a(i) = -i**2 - 1. Let y(j) = -j + 6. Let t be y(10). Let l(g) = t*a(g) + u(g). What is the second derivative of l(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13939388 = -42*o + 110*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(d - 3*d - d) + (-1 - 4 + 3)*(1 + d - 1) + 5*d - 5*d - 3*d to the form u*d + z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368617989?\nAnswer: 1997, 685337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 6*t**2 + 7. Let w(k) = -k**3 - k - 1. Let i(p) = l(p) - 3*w(p). Let u be i(-5). List the prime factors of 1\/((-5)\/u*(-12)\/177).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {g: 11, k: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339455239 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2 + 5*q + 6. Let l(j) = 7*j**2 + 5*j + 6. Let w(b) = -5*l(b) + 6*y(b). Let i = 11 + -6. Suppose 4 = i*d + 24. Calculate w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**3*l*r + 9297613*a**2*l*r - 2*a**2*l + 2*a*l - 3*l + 3714436*r - 1 wrt a.\nAnswer: 24*a*l*r + 18595226*l*r - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose -w*t = -3*t - 37. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from vvyvaavvnvn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61342 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41984 and 1024?\nAnswer: 41984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/15 - 5*v**4\/24 - v**2. Let z(c) = 248*c - 12. Let k(a) = -41*a + 2. Let y(p) = -6*k(p) - z(p). What is l(y(s))?\nAnswer: 16*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*y - 676*y - 115362 = 246*y for y.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99859?\nAnswer: 99859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(36)\/sqrt(216) + sqrt(36)\/(sqrt(12)\/sqrt(2)))\/((sqrt(24)\/(sqrt(24)\/sqrt(2)) - (sqrt(98) + sqrt(98)*1))*6).\nAnswer: 7*sqrt(3)\/234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/319967 + -2192733861\/1599835. Let p = a + 1375. Suppose 0 = -4*o - 2 + 22. Find the common denominator of o and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304122311 (base 5) to base 8.\nAnswer: 4564051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 722510*g**2 + 627699*g.\nAnswer: 1445020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200803601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**31\/(r\/(r\/r**3))**(1\/76))**(-16) assuming r is positive.\nAnswer: r**(9460\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = m, 2*m + 14 = a - 3*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - y**2 + 65*y - 5. Determine s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5 (b) -3\/5 (c) 4 (d) -10 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d**(4\/7)\/d assuming d is positive.\nAnswer: d**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -821*i**4 + 726 wrt i?\nAnswer: -3284*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Let n be (-12 - -11)*(-12)\/30. Let i(m) = m - 12. Let w be i(7). Which is the nearest to n? (a) w (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -3. Suppose 118 = 2*z - 2*n, -3*z = z + 3*n - 257. Let p = 111 - z. Calculate the remainder when p is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442767879 a multiple of 889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(7\/((-28)\/8)). Solve m = t + 2*t + 3, 0 = -j + 2*t - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 5) to base 8.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (123\/15)\/1 + 12\/15. Let g(b) = b + b**2 + 13 + 7*b - b**3 + 7*b**2. Let d be g(z). Solve p + d = -0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1742*f**2 + 1774*f?\nAnswer: -3484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -4, -6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 350*a + 766*a - 2 + 2 - 96*a as h*a + u and give h.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(-1*sqrt(2))*3)\/((sqrt(11)*-2*1 - sqrt(11))*6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 0.3 (c) -2120 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 4 + 1112*h**2 + 0 - 6 + 2. Let p be t(-6). What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3514 divided by -4\nAnswer: 1757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**7\/840 - c**6\/90 + c**5\/30 - c**4\/12 - 2*c**3 - 2. Let z(f) be the third derivative of v(f). Calculate z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y + 2. Let g be a(9). Let d(n) = n**2 + 3*n + 35. Let i be d(-4). Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/(-17 - -28)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2. Let i(t) be the first derivative of 7*t**4\/24 - 37*t**2\/2 + 155. Let y(w) be the second derivative of i(w). Determine r(y(v)).\nAnswer: -392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4))**2*-2 + -5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122568770 is divided by 136.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 499, 858, 1487, 2476, 3915, 5894, 8503?\nAnswer: 11832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 2 (c) -2\/1963 (d) 239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from pppxpppppppppi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqooqvovwqnx. What is prob of picking 1 w and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 142220 = -167*j + 142193, 0 = -j - 0*j - 2*k - 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 1\/5 (c) 2198 (d) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5 = 3*m, -5*m + 27 = -3*c + 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 19, 7, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148410*n**2 + 6703*n - 2?\nAnswer: 296820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489391 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-2 - -1))\/2. Let m = -21 + 43\/2. What is the third smallest value in -4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5317*b - 4. Let t(i) = -143580*i + 110. Give 110*j(v) + 4*t(v).\nAnswer: 10550*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**2))\/t*t)**7)**(-3\/4)*t**(-6)*t\/(t\/(t*t**(-1\/2)))*(t*t\/t**(-1))\/((t*t\/(((t**(4\/3)*t)\/t)\/t))\/t) assuming t is positive.\nAnswer: t**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -61*y - 5. Let j(a) = 95*a + 8. Let p(q) = -5*j(q) - 8*u(q). Let m(i) = -37*i. Calculate m(p(t)).\nAnswer: -481*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + t = -5 - 4, 3 = 3*m - 2*t. Solve 0 = -m*r + j - 2*j + 7, r + 2*j - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -48. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137193683 minus 701?\nAnswer: -137194384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6870622.\nAnswer: 2, 11, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s - 5*s + 4*s)*(3*s + 0*s + 0*s) + 0*s**2 + 0*s**2 + 4*s**2)*(-s**2 + 2*s**3 + s**2) + s + s**5 - s.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h - 48 = -c, c - 4*h = 54. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from {g: 2, x: 2, b: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-81)\/(-12))\/((-1)\/(-28)). Let d be ((-65)\/(-10))\/(-13)*(0 - 24). Suppose 0 = -b + 15 + d. Calculate the highest common divisor of b and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icciciiiiccccicici. What is prob of picking 4 c?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 56. Solve 2*y + x = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 800*t. Let a(k) = 3 - 11*k - 2 - 1 + 8*k. Calculate i(a(o)).\nAnswer: -2400*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223526716 to the nearest integer?\nAnswer: 14951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 13, v: 1}. Give prob of picking 2 s.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200523 and 735251.\nAnswer: 2205753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g - 42. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12e3b3 (base 15) in base 4?\nAnswer: 3131312232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-20))\/(2\/90). Suppose -4*i + 6*g - g - 31 = 0, -3*i + 2*g - w = 0. Let d(v) = -v**2 + v**3 + 6*v - 1 + 7 + 6*v**2. What is d(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 79 + (-53 - -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56654773.\nAnswer: 7, 23, 293, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/103248237 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + o**2 - 3*o + 3*o - o - 419*o**3 + 148*o**3.\nAnswer: -271*o**3 + o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/14)\/(f\/f**(-2\/3))*(f\/f**12)**(1\/19) assuming f is positive.\nAnswer: f**(-1735\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*t + 5568 - 5568 + 3*t**2 + (4*t - 5*t - t)*(3*t + 3*t - 4*t) in the form l + w*t**2 + c*t and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r**3 + 2*r**3 + 0*r**3)*(-6 - 6*r**2 + 6) + 2*r**5 + 3*r**5 - 6*r**5)*(0 + 1 + 1).\nAnswer: -26*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 31 + 271 = 0. Suppose -c = 5*s - 15. Let r be (3 + (s - -2))\/2. Solve r*q = -2*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = y, 4*y = -0*y - 5*p + 17. Let j be (-2 + 5)\/3*y. Suppose -s = 3*v - 3 + 7, 0 = -3*s + 6. Sort j, 0, v.\nAnswer: v, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 11*b**2 + 25*b + 6. Does 12 divide d(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l + 1. Let m(o) = 3*o**3 + o**2 - 2*o + 3. Let j(c) = -m(c) + 2*p(c). Let s be j(0). Is s smaller than -5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1124761\/7 + -160252. Let p = s + -429. Which is the closest to p? (a) -0.1 (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12556.1415 hours in weeks?\nAnswer: 74.7389375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 70.656 and -5107156.885.\nAnswer: -5107086.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.811 + -0.011. Let t = b + -11.2. Suppose 5*r - r - 4 = 0. What is the nearest to 0 in t, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 + 50*f**2 - 4*f - 4. Let m(k) = 17*k**3 + 151*k**2 - 11*k - 11. Determine 11*b(x) - 4*m(x).\nAnswer: -2*x**3 - 54*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 420704789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a01a51 (base 13) to base 15\nAnswer: 4d6473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/12 + 88*i - 1. Let a(v) = -v**2 - v. Let l(c) = -5*c**2 - 4*c. Let n(r) = 4*a(r) - l(r). Calculate n(j(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 (base 5) in base 11?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 11 = -8*m. What is the common denominator of (m\/(-12))\/(2\/261) and -17\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 44, 2185586?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -994 + 3033. Does 53 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/3 + 26432774*o\/3 + 26432780 = 0. What is o?\nAnswer: -3, 13216390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8783513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 15*t**2 - 71*t + 535. Calculate b(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9294724 is divided by 207.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*b**3*y**4 - 339632*b**3*y**2 + 975954*b**2*y**4 + 44*y**2 wrt y.\nAnswer: 1320*b**3*y + 23422896*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 314 - 324 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -2.8293304?\nAnswer: 25.4639736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51561592.\nAnswer: 2, 19, 61, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 24*x**2 + 24*x + 27. Let g be o(-23). Solve -z - 15 = -g*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7090*r + 49933. Give h(-7).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60258941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 70 = -8*l. Suppose 0 = -k + 3*q + 14, -5*k + 11 = 2*q - l. Let n be -1 - (-1)\/((-2)\/(-82)). What is the highest common divisor of n and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 - 104\/6. Let r = -25 - t. Let b(f) = -16*f + 7. Is b(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1981, -7828, -17535, -31108, -48553, -69876?\nAnswer: -95083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5) - 1)*65. Let r = -7 - x. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6653 + -6648. Suppose 2*p = -2*p + 12. Solve -10 = -p*k + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 9. Let l(j) = -1. Let b(x) = 3. Let y(k) = b(k) + 2*l(k). Let v(h) = h**3 + 40*h**2 + 5*h + 201. Let a be v(-40). Give a*f(q) - 5*y(q).\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3748 is divided by 68.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.20657ms to hours.\nAnswer: 0.000137001825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 312450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*o + 8*o - 6*o)*(3*o - 3*o - o**4) + (-1 + 1 + 2*o**3)*(3*o + 0*o - 4*o)*(-19*o - 2*o - o).\nAnswer: 62*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3\/4, -0.2, -36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312319383 + -5.\nAnswer: 312319378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1541298 by -121.\nAnswer: 12738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1659)\/(-2212)*2*4*-3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-81) + 1\/9. Let w(l) be the third derivative of u*l - 1\/150*l**5 - 3\/5*l**3 + 1\/10*l**4 + 0 - l**2. Factor w(s).\nAnswer: -2*(s - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (11 + 0))\/2. Let i be p + 3 - -10 - 4. Solve -5*a + 6 = 4*b, -i*a = -a - 5*b + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k + 3. Is p(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9583*m**6 - 2*m**5 + 9*m**2 + 157*m.\nAnswer: -1149960*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5112358 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**7\/30 + s**4\/6 + 7*s**2. Find the second derivative of k(b) wrt b.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1763*4\nAnswer: 7052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(242) + -3)*2*-4)**2.\nAnswer: -152064*sqrt(2) + 578304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let d(b) = -9*b**2 - 17*b + 17. Let v(a) = -3*a**2 - 6*a + 6. Let o(y) = -6*d(y) + 17*v(y). What is i(o(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2136098.479 rounded to the nearest ten thousand?\nAnswer: -2140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b - 3. Let t(g) = 6*g - 3. Let d(n) = -5*m(n) + 6*t(n). Let o be d(-2). What is the second smallest value in -4, 2, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2342 - 2.1632. Let m = h + -0.071. Which is the third smallest value? (a) m (b) 2\/7 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1232 and (-606)\/(-5656)*89\/108.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 9*m**2 + 5*m + 1. Let x be f(5). What is the units digit of 556\/4 - (-6*x - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 21 + 7 = -20*c + 6, -2*f - 3*f = 3*c - 55 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298 = 132*j + 5246 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/275 and -99\/16234.\nAnswer: 4464350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1125, -1, 21, 69 in decreasing order.\nAnswer: 1125, 69, 21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 450 + 504 + 0*q**2 + 1596 + 1267.\nAnswer: 5*q**2 + 2917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*s**3 + 1 + 0*s**3 - 54*s + 162*s**5 + 76*s + 39*s wrt s?\nAnswer: 3240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 7 (b) -0.1 (c) 0 (d) 10\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**4 - 18*b**3 - 2*b*f**2 - 2*f**2 + 230 wrt b?\nAnswer: -4*b**3 - 54*b**2 - 2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 54364.\nAnswer: 598004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 40 = 4*s, 0 = -7*t + 132969*s - 132966*s - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2272\/128 + (-291)\/388.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4551 + -1?\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -813.0511 - -0.0511. Let g = h + 812.9673. Round g to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*u + 4*u**3 + 738*u + 585*u.\nAnswer: 4*u**3 + 1216*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28518821 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: Solve -5*v - 2*j = 30, -2217926*v + 5*j + 9 = -2217922*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3 + 3 - 3 + 2 + 1 + 3 - 3 + (-2 - 2 + 6)*(5 - 3 - 4) - 1 + 1 + 3 + (5 - 3 + 0)*(3 + 1 - 2))*(24 - 17 - 118)*(-4 - 2*o + 4).\nAnswer: 1776*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 0*k + 2*k + 1 + 3*k to s*k + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-4) - 1\/4. Suppose -23 = p*m - 53. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -10. Let u = 52.13 + -52.33. Which is the closest to k? (a) u (b) -2\/9 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let h = 6 - 3. Let t = h + -2.9. Sort b, t, -2 in descending order.\nAnswer: b, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1 + 1 - 2 + 2 + (-3 + 3 - 2)*(2 - 1 + 1) - 1 - 2 + 0)*(0*j - j - j)*(45*j + 40*j - 5*j + (-2 + 0 + 0)*(2 - 2 - 2*j)).\nAnswer: 1344*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5249 - 5234) + (1 - (6 - 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/9 + 11553260*u\/3 + 16684727078450 = 0. Calculate u.\nAnswer: -8664945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -441*b - 13207. Let n be y(-30). Solve 1\/2*l**2 + 529\/2 + n*l = 0 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81596 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1905 and -0.567.\nAnswer: 1080.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 + w + 1. Let r = 3 + -2. Let p(t) = 5*t**3 - 3*t**2 - 4*t - 3. Let g(n) = r*p(n) + 3*u(n). Find the second derivative of g(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.0703ml in litres?\nAnswer: 0.4330703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 600048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1200\/1400)\/(1\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 12*i. What is z(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/1 + 7 + -10)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(15\/(-9))*(-128)\/80*(-265)\/(-159).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025255327 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 + 6*c - 3. Suppose x + 3*x + 20 = 0. Is t(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, 1, 0 in descending order.\nAnswer: 4, 1, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16912 is divided by 338.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422347000 to the nearest one million.\nAnswer: 1422000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 2*k + 117 - 236 - 3*k - 150*k**2 - 587*k**2.\nAnswer: -737*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 6, 17, 32, 51, 74, 101?\n\"Answer: 2*b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -358a9 (base 15) to base 4.\nAnswer: -221223111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455919904.\nAnswer: 2, 11, 29, 59, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-6 - -3) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -438136\/11 at least as big as -39832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174418771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -87, -284, -663, -1284, -2207, -3492, -5199?\n\"Answer: -10*t**3 - t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 2429. Suppose 4*a = -3*h - 22 + 144, 2*h = 5*a - 141. Let y = a + -29. Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*w + 4*q, -4*w - q = -5*w + 4. Suppose 3*j - 1654 = -2*j - 2*z, w = j - 5*z - 320. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {q: 10, z: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*a**2*c + 2*a*c**3 - 25041*a*c + 61*c**3 - 3*c**2 - 44*c - 269 wrt a?\nAnswer: 44*a*c + 2*c**3 - 25041*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9895764*r - 5984897*r + 3900654*r + 14. Let y be o(2). Round y to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84192539.\nAnswer: 29, 2903191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 10296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = i, 3*u - 2*i + 3*i = 7. Let j = 11 + -7. Put j, u, -2 in ascending order.\nAnswer: -2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m + 19. Let v(n) = -1. Let t = -140 - -50. Let b be ((-2)\/(-1))\/(-5*12\/t). Let c(p) = b*v(p) - a(p). What is the first derivative of c(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4395 - -4442. Solve g = 62*x + 171 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -269. What is the remainder when 54 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -182.8717 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1356212208.6 to the nearest 1000000.\nAnswer: -1356000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 20*o**2 - 18*o - 24. Let v be a(19). Let m(j) be the first derivative of j**2 - 5*j - 3. Calculate m(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/5)*z**4)\/(((z\/(z\/(z**(-2)*z)*z)*z)\/z)\/((z*z*z**(-1\/4))\/z)))**9)**(-13) assuming z is positive.\nAnswer: z**(-16263\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 12. Suppose 3*k = 2*g + 5, 2*k + 3 = o*g + 1. Suppose 0*f = -k*f + 3*m + 15, 2*f - m - 7 = 0. Solve -f = -5*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5549\/4 + -1397. Find the common denominator of 83\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (10 + -1 - 0). Let u = p + 21. Suppose 0 = -3*g + u*g - 1519. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -25*j**2 + 5*j - 45. Let t be g(7). What are the prime factors of (-1)\/((-1)\/6 - t\/8094)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1838590 by 367718.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - -4*-1*sqrt(200))\/(sqrt(100)*-6).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3206 and 178391?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.5 or -5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 42. Let m(z) = 2*z**2 - 5*z + 2. Let p(c) = 3*c**2 - 6*c + 2. Let y(i) = -4*m(i) + 3*p(i). Calculate the remainder when o is divided by y(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c. Suppose -k = 2*f - 14, 4*f + 1 = 4*k + f. Let s(b) = -2*b**2 - 3*b**2 + b**3 + k*b**2 + 2 - b. Give s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-2) - 3600\/120.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 2*x**2 + 4*x**2)*(-970 + 831 + 8173) + 3*x**2 - 3*x**2 + 2*x**2.\nAnswer: 16070*x**2 - 16068","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*h**3 + 8*h**3 - 3*h**3 + 6*h**3 to z + f*h**3 + n*h**2 + g*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -969*l*u**3 - 7*l*u + 5*l - 10*u**3 + 2*u**2 - 276*u + 3 wrt u?\nAnswer: -5814*l - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c - 172. Let w be 15 + (1 - (-6 + (-7)\/(-7)) - 6). Give h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = n - 10, 3*t + 5*n + 578 = 684 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891923 is divided by 210213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/10 + 4\/(-10). Let v = 1\/193047 - -214668209\/10617585. Let s = 102\/5 - v. Sort f, 4, s in ascending order.\nAnswer: s, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-7)\/z)\/z*z)\/z)\/z**(-10)*(z*z\/z**8)\/z**8)**(-1\/40) assuming z is positive.\nAnswer: z**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -49*u**4 + 2*u**2 - 49. Let t(i) = 99*i**4 - 5*i**2 + 97. Let r(q) = 5*o(q) + 2*t(q). What is the derivative of r(n) wrt n?\nAnswer: -188*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 1270 - 5043 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g - 326. Let d be j(-14). Let s = 7 + 5. Let m be 38\/(-12) - d\/s. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 14653956*j**2 + 14653953*j = 0. Calculate j.\nAnswer: 0, 1, 4884651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*w**2 - w - 216*w**2 - 1 - w**3 + 0 + 2*w**4 to the form s*w**4 + p*w**2 + r*w + l*w**3 + i and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2964, -5447, -7928, -10407?\nAnswer: -12884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose 18 = -4*s - 5*w + 3, 3*s + w + b = 0. Solve 2*j - 2*n - 12 = s, j - n = -5*n - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (6 + -5))*34. Let y = -5 + 9. Suppose -p = -8*a + y*a. Calculate the greatest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -80. Let n = -11 + 10. Put 1, 3, m, n in decreasing order.\nAnswer: 3, 1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, -0.1, -8\/3, -5, -3, 1\/3 in decreasing order.\nAnswer: 222, 1\/3, -0.1, -8\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*o - 1 = 0, 3*s + 4*o + 14 = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 38239825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 - 10.6. Let g = -9.4 - d. Which is the second biggest value? (a) 4 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 16*j - 5 = -f, -4*f + 20 = 2*j. Which is the closest to 1\/4? (a) f (b) -4 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10400\/3 + -47914\/15. Let h = t + -24341\/90. Let i = 35309\/8 + -4425. Calculate the common denominator of i and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1162*s**2. Let v(a) = 6669 - 13335 + 6666 + a. Give v(r(l)).\nAnswer: 1162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + s + 6. Suppose -20*g + 2*v = -24*g - 4, 3*g + 4*v = 7. Determine w(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(-33 + 66 - 36 - 2*m).\nAnswer: -4*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*m**2 - 104 + 308 - 25*m + 22*m.\nAnswer: 210*m**2 - 3*m + 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -39*r**2 + 275*r - 7. What is l(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 - o - 6. Let r be q(-8). Suppose 3*w - 2*w = r. Solve u - b + 2 = 0, -5*u - 16 = -0*b - w*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/6*(-10761)\/(-1055)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*i**2*x**3 + 142*i**2*x**2 + i**2*x + 3*i*x**4 - i*x**2 wrt x.\nAnswer: -612*i**2 + 72*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 2)\/(0 - -1). Let j be -2*1 + 19 + s. Suppose g = -4*t + 21, 5*t - 4*g = -0*g + 21. Solve t*m - j = -7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6219, -6141, -6051, -5943, -5811, -5649?\nAnswer: -5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.611 plus 0.07349365?\nAnswer: 19.68449365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 - 897 = 126*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1553442*-62\nAnswer: -96313404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*f**2\/8 - 49389*f\/8 - 81189\/2.\nAnswer: 3*(f - 873)*(19*f + 124)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 33. Let p = 57 - c. Suppose -11 + 5 = p*b. Let j(v) = 5*v**2 + 1. Give j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341422 (base 9) to base 4\nAnswer: 301322300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in 0.1, -2, -1, 1.9, -3\/19?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285\/2 + 143. Which is the second biggest value? (a) t (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 50*j**5 - 25330855*j**4 + 3208275006985*j**3 - 3529023728990*j**2 - 6095674638240*j + 641649428640 = 0?\nAnswer: -1, 1\/10, 2, 253308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/7 + 13*u**4\/7 + 6*u**3.\nAnswer: u**3*(u + 6)*(u + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 12 = 29*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -154, -801, -1918, -3535, -5682, -8389, -11686?\n\"Answer: -5*v**3 - 205*v**2 + 3*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 536 - 4. Suppose n = -6*n - z. Let u = 148 + n. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**5\/60 + 7*v**4\/24 - 4*v**3\/3 - 2*v**2. Let f be m(-8). Let b = 36321 + -36321. Solve f = 2*u - b*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 41*d**2 + 79*d + 96. Determine j(-39).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 83 = -17. Suppose -5*c = -3*g - 32, -3*c + 2 = 2*g - 2. Calculate the smallest common multiple of l and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 3 + 3 - 2*d**5 + 2*d**4 - 2*d**4 + (-2*d**2 - d**2 + 4*d**2)*(-2*d**3 + 2*d**3 - d**3) - 4807*d - d**5 + 4807*d - 6*d**3.\nAnswer: -6*d**5 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.4 - -10.6. Let u = -40 + r. Which is the biggest value? (a) u (b) 5 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 21. Solve -2*m + 7 = -r, -g*r + 0*m + 2*m = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -29*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3345, 6763, 10181, 13599, 17017?\n\"Answer: 3418*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzkq when four letters picked without replacement from {y: 3, z: 2, a: 1, q: 4, k: 3, f: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 12\/(-1 - -4). Let r be i + 1 + (-190)\/(-592). Let q = -2\/37 - r. Find the common denominator of q and 103\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -2969*o**5\/20 + 19*o**4\/6 + 17*o**3\/3 - 7*o + 77. Find the third derivative of n(u) wrt u.\nAnswer: -17814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*(1 - 1 + 10)*(7*y + 4 - 4)*(-5 + 5 + 2*y + (3*y + y - 5*y)*(0 - 2 + 0)) in the form n + f*y**2 + w*y and give f.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 84*k - 152.\nAnswer: -4*(k - 19)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -188 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 447*r - 449*r - 157 + 162. Let z(s) = 3*s - 1. Let a(v) = -2*v. Let b(n) = -4*a(n) - 3*z(n). Let h = -24 + 17. Calculate h*b(l) + 4*x(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 221541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.748 + 2.8. What is t rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, -684, 209 in decreasing order.\nAnswer: 209, -5, -11, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*p - 7 = 0, 3*p + 6 = 5*v - 7. Let g(o) = 21 - 14 - 12 - 2 + v*o**2 + 2*o. What is g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 = -51. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -3. Suppose -3*f + 9 = 0, g - 2*g - y = -5*f. Suppose -g*s + 20 = s. Solve 3*r = -r + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p**3 + 3)*(4 + 3 - 5) + 3*p**3 - 5*p**3 + p**3 + (2 - 2 + 4*p**2)*(3 + 2*p - 3) - 4*p**3 + 0*p**3 + 2*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1371993)\/(-44352) + -31 + (-180)\/(-2970)\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87362 bigger than 174721\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -1. Let i = o - -10. Sort -5, i, 4.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1075, -4374, -9897, -17650, -27639, -39870?\nAnswer: -54349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a hour in seconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*y**4 - 11*y - 2*y**2 + 3 + y**3 - 269*y**4 + 11*y + 0*y**2 in the form s*y**4 + i*y**3 + b + p*y + j*y**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 12*a = 0. Let x(p) = 11*p + 255. Is x(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + (-1)\/(6\/8))*3. Let o be 1 - (-3 - w) - 1. Find the second derivative of 5*g - 14*g**5 + 7*g + 4*g**5 - o*g wrt g.\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b. Let h be i(-1). Suppose 0 = h*j + 3*j - 100. List 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 the ten millions digit of 10218667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 18*z**3 + 2*z**2 + 2*z - 3. Let c be r(3). Suppose -5*n + c - 177 = 0. Suppose -61*b - 100000000 = -n*b. Round b to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chhc when four letters picked without replacement from hhhhhhhcchhhhhhhhhh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 193*g + 2464. What is q(-16)?\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h + 5. Suppose a - 10 = 3*a. Let w be d(a). Let b(c) = 5*c**2 - c - 1. Let z be b(-1). Calculate the greatest common divisor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/160152224 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/18 + 6\/(-36). Find the third derivative of -l**3 - 14*l**z + 5*l**2 + 3*l**3 + 8*l**2 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5\/6, 125, 1, 0.12, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/12 + 7*l**3\/6 - l**2\/2 - l. Let s be 17\/(-5) + -3 + -7 + (-256)\/(-40). Calculate c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3478543 times 2\nAnswer: 6957086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1779*c**2 + 847*c - 3. What are the prime factors of n(-4)?\nAnswer: 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19575953 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24210184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6468.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/46)\/(-1 + 22\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 22) + (0 - -5) - 0 - -28\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*v = -5, -5*v - 25 = 54*k - 49*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = -3*z - 2, -2*c = 8. Let g be (z\/(-2))\/(2\/(-8)). Let a be 10\/(-4) + 0 - g. Sort 11, a, 0 in increasing order.\nAnswer: a, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + z - z**4 + 0*z + (5*z - 4*z + 0*z)*(-3*z**3 + 0*z**2 + 0*z**2).\nAnswer: -2*z**4 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*f - 14*f + 8*f)*(122*f - 1478 + 1478)*(4*f - 2*f - 4*f) as x*f + i + u*f**3 + y*f**2 and give u.\nAnswer: -3172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -25*n - 21. Let t(c) = -72*c - 61. What is 8*l(b) - 3*t(b)?\nAnswer: 16*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/30483 and 13\/238219.\nAnswer: 6431913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*q - 788 = 0, -2*l - 222 = 5*q + 187. Let s = 316 + l. Calculate the greatest common factor of s and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 7*r + 4*r + 528, -264 = -2*i + 4*r. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63476758 divided by 2.\nAnswer: 31738379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 632.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 890.7114 millimeters?\nAnswer: 89.07114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - j**2 - j. Let k(y) = -16*y**3 + 2*y**2 - 10*y - 2. Give -9*h(u) - k(u).\nAnswer: -2*u**3 + 7*u**2 + 19*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -24. Suppose a*h - 5*q = -7, 0*h + 10 = -3*h + 2*q. What is the closest to 2\/3 in -0.4, h, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dml when three letters picked without replacement from {l: 1, m: 2, t: 1, z: 2, d: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 149 = -n - 51*b, 2*b + 6 = 3*n - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -420, -2869, -9516, -22461, -43804, -75645, -120084, -179221?\n\"Answer: -350*b**3 + b**2 - 2*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6220179 * 0.2.\nAnswer: 1244035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -494*d**2 + 242*d**2 + 251*d**2. Let u(j) = -315*j. Give u(r(n)).\nAnswer: 315*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 4*z - 5*m, z + 0*m - 3*m = -24. Let x = 62 + z. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23267557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25705 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -w + 53*w. Which is bigger: w or 1\/388?\nAnswer: 1\/388","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**(-1\/10))*f*f**(-4\/9))\/(f*f**(-3)*f\/(f\/(f**6*f)*f)))**(1\/12))**(9\/8) assuming f is positive.\nAnswer: f**(-211\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = 4*r. Suppose -5*y + 17 + r = 0. What is the least common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 90, 0.1 in decreasing order.\nAnswer: 90, 5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970499801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -8 - 27. Suppose 0 = -2*w - 4, 5*s + 4*w + 4 = -4. Solve -d*p + 2*p - 15 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 12) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -60 + (83 - 52)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63747547 a multiple of 1946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1638325 and 49700?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2616, 5222, 7828?\n\"Answer: 2606*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(((1\/(-9))\/((-268)\/(-804)))\/39).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-143)\/(-1) + (4 + -4 - 2). Let r = l - 63. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 3. Let x(b) = -1. Determine f(q) + 2*x(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38432571 is divided by 114?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6841\/6 + 1146. Calculate the common denominator of o and -1*4 + 130\/45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 365*t - 27830. What is a(-123)?\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*w + 18 - 9, -4*o + 14 = -2*w. Is ((-872)\/(-4) - o) + 0\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 36*l + 182\/5.\nAnswer: -2*(l - 1)*(l + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 712033 = -3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -62 - -26 - (-3 + 40 - 1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 20 - 1. Let c(k) = -5*k + 5*k + p - 2*k - 6*k. Let s(i) = -17*i + 15. Determine 13*c(a) - 6*s(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -601\/188 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152*h**2 - 1153*h**2 + 11253*h + 2302*h**2.\nAnswer: -3*h**2 + 11253*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*h**2 - 404*h**2 + 1021*h**2 - 253*h**2 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 11. Let z be q(-5). Let g be (1 + 0)\/((-2)\/z). Suppose -15 = -5*l + 4*i, -2*l - i = -0*i - 19. Solve -l*r = -g*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - s - 13 = 0, 179628*v - 179627*v + s + 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5 = b - 0, 0 = 3*b + 4*f - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -75. Let p = 30 + g. Let b(y) = -y**3 + 2*y**2 + 3*y - 3. Let m be b(3). Put 1, m, p in decreasing order.\nAnswer: 1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-4 + 4). Let w be -1*2 - m - 4. What is the units digit of (-4)\/((-3)\/w - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22002 - -211102?\nAnswer: 112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and -0.01656415.\nAnswer: -0.08656415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18*y**2 - 3*y + 2. Let d(p) = 18*p**2 - 2*p + 1. Let h(s) = 2*a(s) - 3*d(s). Differentiate h(k) wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:59 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 7*f - 146. Let j = f - -218. Let k be j\/42 + (-6)\/(-21). Solve 2*c = -k*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-358)\/51 - 2415\/(-345))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from hszekkkeseq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 4 + 39 = 0. Suppose -4*n + 0*n = 8. Let j be (5 - 1*n)*1. Solve d*f = -18 - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 97*l**2 + 49*l - 77. What is w(48)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -2, 41, 94, 157?\n\"Answer: 5*c**2 + 18*c - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Suppose 4*m = -3*o + 12, 15 = -2*o + 4*m + 3. Let x(k) be the first derivative of -22 + 0*k + 8\/3*k**3 + o*k**2. What is x(y(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4\/4 + 4011*r**3\/4 + 141387*r**2\/4 + 902069*r\/4 + 382347\/2 = 0.\nAnswer: -27, -7, -1, 4046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.878 - -0.5765. Let d = s + -0.0565. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = n - 25. Let d(f) = -f**3 - 28*f**2 + 149*f - 46. Calculate the remainder when n is divided by d(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242 or 11838?\nAnswer: 11838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5677 is divided by 1146?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 591592739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43622373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 119, -18, -117 in decreasing order.\nAnswer: 119, 13, -3, -18, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = -31*m - 4*j, 2*m = 3*m - 83*j + 78*j - 10 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85362169.\nAnswer: 373, 228853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(208) + 1 + -3 - -5*(sqrt(208) + -2 + sqrt(208))) + -4.\nAnswer: -220*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hllh when four letters picked without replacement from {l: 9, h: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3348 and 0.817.\nAnswer: 3348.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by -3 - (4\/20 - (-282)\/(-10)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let u = 1 + o. Let s = 4 + u. Which is smaller: 2\/9 or s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5561, -11093, -16627, -22163, -27701?\n\"Answer: -p**2 - 5529*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960, 994, 1026, 1056, 1084, 1110, 1134?\nAnswer: 1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 498762 and 63204.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + u + 63486 = 0, 0 = -28*u + 31*u + 6. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3841458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14314 - 9755. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440 (base 12) to base 6.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/20*g**5 - g**2 + 0*g**3 + 1 + 0*g**6 + 1\/21*g**7 + 37*g - 1\/2*g**4. What is the third derivative of l(t) wrt t?\nAnswer: 120*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 801*r**5 - r**4 + 2*r**2 + 120*r - 48 wrt r?\nAnswer: 16020*r**3 - 12*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from ggpgggppggg?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 7182.667?\nAnswer: 17956.6675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from {j: 1, t: 1, h: 2, y: 7, a: 1, z: 5}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 7*m - 3*m + 838, m - 4*x = -202. Let j = m + 336. What is the highest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 30*n**2 + 46*n + 861. Determine r(-31).\nAnswer: -1526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17007257 by 17007257.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:37 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((-297)\/(-567))*(13 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/12 + 4*z**2. Let t(o) = -o. Let r be (6\/4)\/(24\/(-48)). Give r*f(p) + 8*t(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5 - 1. Let l be (-6)\/2*-1 + r. Let u be (-2)\/(-6)*4\/(-6). What is the nearest to l in u, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 131731 + -1?\nAnswer: 131730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 14 + 5 + 4*c + (0 - 3 + 4)*(0*c - 2*c + 0*c))*(3*c**3 + 2*c - 3*c - 2*c**3).\nAnswer: 2*c**4 - 2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/(c*c*c\/((c*c*(c*c**(3\/2)\/c*c*c)\/c*c*c)\/c)))\/((c*c**(-2))\/(c**1\/c))*(c\/(c**(-1)\/c)*c)**(8\/3)\/((c\/c**(-1\/8)*c)\/(c**(-1)*c)) assuming c is positive.\nAnswer: c**(361\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 32*c + 3228. Let o be l(43). Factor 0 + 0*u - 6\/5*u**2 + 9\/5*u**o.\nAnswer: 3*u**2*(3*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3 + -1 + 23680\/60. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(1 + 7\/(-21)). Sort 1\/8, u, 2\/9 in ascending order.\nAnswer: 1\/8, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 8883\nAnswer: 86\/8883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 5*m + 5. Let w be z(5). Let l(i) = i**2 + 6*i + 3. Let s be l(-6). Solve -2*p = w*n - 3, -4*p = -s*n - 21 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44869*b**3 - 4*b**2 + 10583*b.\nAnswer: -269214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/504*14)\/((-15)\/54). What is the fourth biggest value in y, -2\/17, 0, -3.9, -4?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h - 73*h - 7 = t + 44, -t - 291 = 29*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 137539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 310, -3, 2, -1, 10 in decreasing order.\nAnswer: 310, 10, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqfq when four letters picked without replacement from {q: 10, f: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/4 + u**3\/3 - u**2 - 3*u - 8. Let k be h(-2). Let m be k\/(9\/3)*(-4 - -2). What is the nearest to 1 in 1\/8, m, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25555784 + -125773.\nAnswer: -25681557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 10 = -88 - 1 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30763\/35 - -879. Let u(p) be the first derivative of 0*p**3 + 2\/7*p + 4 - y*p**5 - 1\/7*p**4 + 2\/7*p**2. Factor u(q).\nAnswer: -2*(q - 1)*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 523759031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:41 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 28. What is the lowest common multiple of 35 + 13 + 8 + -21 and u(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h**3*x**3 + 18*h*x**3 - 152*x**3 + x**2 with respect to h.\nAnswer: -15*h**2*x**3 + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029684.4876 rounded to the nearest ten thousand?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 95*y + 50*y + 46*y)*(1 + 2*y - 1)*(4 + 0 - 2) in the form t + u*y**2 + i*y and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 846936483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + u + 2*u)*(-7*u + 3*u - 8*u) - 1 - 26*u**2 + 25*u**2 + u + 2.\nAnswer: 23*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 99\/22 - ((-3)\/(-6) + -1). Which is the third biggest value? (a) -2\/3 (b) 0.8 (c) 3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0.04, 2.127 in descending order.\nAnswer: 5, 4, 2.127, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -3826?\nAnswer: -3826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 - 5*r + 8. Let x be g(3). Suppose 5*y - 192 = x*y. What is the remainder when y is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 47 + 8*t**3 - 6.\nAnswer: 8*t**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16158*s - 20177. Let a(f) = -5362*f + 6725. Let j(c) = -8*a(c) - 3*k(c). What is the first derivative of j(i) wrt i?\nAnswer: -5578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 110. Suppose 4*j - 6*q + q = h, 3*q = 12. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 201*s - 196*s - 29, 3*j - 17 = -2*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -5*r - 6, 12 = 4*q - r. What is the third derivative of 15 - 8 - 7 - 7*p**q - 2*p**2 wrt p?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**7*j))**2\/(j**(1\/12))**27 assuming j is positive.\nAnswer: j**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 4492.\nAnswer: 22460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*y**5 + y**3 - 22048*y**2 + 11*y - 169815 wrt y.\nAnswer: 700*y**3 + 6*y - 44096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1203 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 + x**3 + 2*x**2 - 2*x. Let d be q(5). Let g = -44 + d. Calculate the greatest common divisor of g and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccxxxxcccxccx.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/14185 and 83\/67509252.\nAnswer: 337546260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1834*n**3*p**3 + n**3*p**2 + 1462*n**3 - n**2 wrt p?\nAnswer: 5502*n**3*p**2 + 2*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -4243 (c) 1\/3 (d) 4 (e) -2\/21 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/6*t - 1\/2 + 1\/6*t**3 - 5\/6*t**2 = 0. Calculate t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2.719, 2\/5, -8, -5?\nAnswer: 2.719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.646609 rounded to two decimal places?\nAnswer: 14.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(2057) - sqrt(2057))**2*4 + sqrt(68)\/(1*sqrt(4))*2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 - (35 - 20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/50 - ((-18)\/(-675))\/(8\/(-24)). Let o = 734 + -24. Let g = o + -50412\/71. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 463340*u - 10734197780.\nAnswer: -5*(u - 46334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*n - 5 - 8, n + 1 = h. Let d be -4 - -4*(n - (-12)\/4). Solve 3*l + u - 5 = -1, 5*u = -l + d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*w = -o - 16, -2*w - 22 = -3*o. Let x(p) = p**3 + 8*p**2 + p + 10. Let z be x(-8). Sort o, 0, z.\nAnswer: 0, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746 divided by -346?\nAnswer: 373\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -13*a**6\/15 + a**4\/6 - 8*a**3 - a**2\/2 - 58*a - 5. What is the second derivative of x(k) wrt k?\nAnswer: -312*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3, -2\/3, 0.45?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 84*g**3 + 4808*g**2 + 51708*g + 12040 = 0.\nAnswer: -43, -14, -5\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + 138. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.1. Let d = -38 + 37. Which is the third smallest value? (a) g (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/147 and 67\/3?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 431856854 divided by -73658?\nAnswer: -5863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*j + 5*i, 0 = 4*j + 4*i + 24 + 4. Is (-3)\/(j\/(-4666))*(-19)\/38 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 + -48. Suppose 3*m - s = 2. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 13*q - 12. Is (-9294)\/(-18) + 0 + 2\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2424, 2472, 2520, 2568, 2616?\n\"Answer: 48*w + 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8)*(-2 + 0) + 4. Let a be 2\/(-8) - b*(-65)\/300. Sort 1, 0.14, 4, a.\nAnswer: 0.14, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xjgxxjugjxe.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 1. Let j(h) = -3*h + 2. Let b(w) = -2*a(w) + j(w). Let r(z) be the third derivative of -13*z**5\/30 + z**2. Give b(r(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 919679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/60 + 7*u**4\/24 + 5*u**3\/6 - u**2\/2 + 8*u. Let g(y) be the first derivative of k(y). Calculate g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473235941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3613158*i**4 - 2280938?\nAnswer: 14452632*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*k*w**3 - 4918*k*w**2 - 5*w**3 wrt w?\nAnswer: -798*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7005 and 7970289?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 26 = -r, -5*m - 141 = -5*r - 51. Is 13 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(18)\/(sqrt(12)\/sqrt(2))) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(12) + sqrt(672)\/sqrt(3))\/(-2*sqrt(175)*3).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zljjxgtxt. What is prob of picking 1 l and 1 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151644 (base 7) to base 16.\nAnswer: 7329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 - 474 = 110*p. Are -567 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 26155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 6. What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-13 - -7) - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527 - 521. Suppose 2*z + 0*z = 6. Let s be 15\/17 + 1\/(-1). Put f, s, z in ascending order.\nAnswer: s, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60655?\nAnswer: 5, 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 - 5*o + 8. Let m = -2 - 4. Let h be b(m). Let t = -0.026 - -0.126. Sort 1, h, t.\nAnswer: t, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g + g)*(-2*g + 2*g + 3*g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 - 100*c**3\/9 + 34*c**2\/3.\nAnswer: -2*c**2*(c - 1)*(c + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19039.45m to kilometers.\nAnswer: 19.03945","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 17 = -2*k - 5*o, 4*o - 11 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 389517\/902083 + 13\/29739. Let d = 53407\/819 - c. Let w = d - 65. What is the smallest value in 0, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 - -998\/5. Let s be ((-2)\/(-8))\/((-6)\/(-16)). Put z, s, -0.5 in descending order.\nAnswer: s, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21058586.\nAnswer: 2, 10529293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64622 or 69125?\nAnswer: 64622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4164480 and 297?\nAnswer: 45809280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-260)\/210)*88\/594.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 17. Let l be (320\/560)\/(108\/(-42)). What is the closest to 2\/5 in -0.4, g, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 o when three letters picked without replacement from {o: 6, z: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12\/5, -3\/2, -1573, 4, 0.1, 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1373 - -9580\/7. Let f = 286\/63 + m. Sort f, -0.3, 3\/5.\nAnswer: -0.3, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277897167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.63. Let u = 22.4 + -22.8. Let d = u - m. What is the closest to -2\/5 in d, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*r + i, 61*i + 11 = -r + 57*i. Which is greater: -17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.9? (a) -4 (b) 3\/8 (c) 6 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 347596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 23940312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(13))**2)*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -72, -85, 0.4, -0.5, 0.01832?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 7 + -31 + 25\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8755+-28.5\nAnswer: -8783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:10 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*g = -32, 121*j - 123*j + 2*g = -14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/11046 and 113\/957320?\nAnswer: 2871960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 520\/9 - 406\/9*a**2 + 388\/3*a**3 - 344\/3*a + 2*a**4 = 0.\nAnswer: -65, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -15*l. What is l rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700542750?\nAnswer: 2, 3, 5, 934057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 + 6*c - 6. Let y(h) = -h**2 + h - 1. Let s(i) = w(i) - 6*y(i). Suppose 18*k + 76 = 20*k. Let p(l) = 29 - k + 9*l + 34*l + 9. What is s(p(f))?\nAnswer: 1849*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/14784 and -149\/10752.\nAnswer: 118272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:15 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 - 5. Let g be m(4). Let k(o) = -o + 2. Let w(c) = c - 3. Calculate g*k(b) - 4*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430254313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 1. What is the smallest common multiple of 8 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1283 - 1279. Sort o, -2, 1\/5, 5 in increasing order.\nAnswer: -2, 1\/5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 1102?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239 * 0.5.\nAnswer: 119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 229*d + 6347. Suppose -3*j - 4*r = -193, -3*j + j + 5*r = -167. Calculate the remainder when j is divided by y(-32).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1932*s**4 - 307*s**2 + 1 wrt s.\nAnswer: -46368*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -6*v - 13*v. Solve 9*i - 14*i = v, -3*y + 2*i = -6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 2. Let i be -1*(4 - 28\/4). Suppose c + 15 = i*b + b, -5*b = -5*c. Give g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + -242 + 260 + (1 - 40)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8520 times 0.4?\nAnswer: 3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c85 + 139?\nAnswer: 14dc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2338.374 - -2336. Let f = 0.644 + t. Which is the smallest value? (a) 1 (b) 2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*q**3 + 4 - 4 + 83*q**3 + 101*q**3.\nAnswer: 370*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, b: 3, i: 4}. What is prob of sequence iu?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7603.0227 - 7397. Let u = 0.0227 - v. Let p = u - -189.6. What is p rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-6) + 1\/(-3). Let f be ((-4)\/w)\/(17\/(-3)). Let u be 0 + -1 - 700\/(-980). Sort 2, u, f in decreasing order.\nAnswer: 2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, m: 1, b: 1, p: 2, w: 3, k: 1}. What is prob of sequence mo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 62.\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 4. Let l = -85 + 79. Calculate h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 2. Let j(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 4*b - 2. Calculate j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - 5*y + 4. What are the prime factors of h(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/36 and 67\/20756?\nAnswer: 186804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*u + 4. Let n be 0\/(((-9)\/(-3))\/3) - 5. Is u smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8532 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7 and 58\/141408549.\nAnswer: 989859843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226 - 448 + 69)*(-s + s + 2*s**2).\nAnswer: -1210*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:07 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/4, 1\/4, -4, -58, -6 in decreasing order.\nAnswer: 1\/2, 1\/4, -1\/4, -4, -6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f - 5. What is the units digit of 6\/6 - (f + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108725.41 rounded to the nearest one thousand?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -10*p + 20*p + 66800. What is the second smallest value in 0.4, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -445943.9705 to the nearest 100.\nAnswer: -445900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 61. Let f be m(-22). Let c(d) be the first derivative of d**4\/4 - 7*d**3\/3 - d + 7. Let x(r) = -r**3 + 6*r**2 + 1. Determine f*c(a) - 6*x(a).\nAnswer: a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 254.565 (b) -0.52 (c) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zesd when four letters picked without replacement from {z: 1, i: 4, e: 9, d: 1, f: 1, s: 1}?\nAnswer: 3\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 12) in base 2?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128128\/196*(-70)\/(-5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/383, 0.05, 18 in descending order.\nAnswer: 18, 0.05, -2\/383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64163, -64164, -64165, -64166, -64167?\nAnswer: -64168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -101*o. Let l(n) = 43*n. Determine k(l(s)).\nAnswer: -4343*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = a, -2*b = -a - 3*b + 7. Suppose 5*d - 130 = u - 27, -3*d = u - 57. Suppose 0 = a*f - 6*f - d. Solve 11 + 9 = -f*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + (3 - -3) - 11. Let a = c + 7. Let f(y) = -96*y - 5. Is f(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h - 1. Let w(c) = -2*c**3 - c**2 - 5*c - 3. Suppose -61 = 9*o - 34. Calculate o*i(v) + w(v).\nAnswer: -5*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -3\/2*c**3 + 4*c**2 - 1\/60*c**5 + 0 + 0*c + 1\/2*c**4. What is the least common multiple of 16 and m(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 175 = 19. What is the remainder when s is divided by ((10 + -5)\/25)\/((-13)\/(-1625))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.08, -1\/3, 36?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*f - 24*f - 31*f - 105*f**2 as c + h*f**2 + l*f and give h.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/130 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2518 - 2376. Which is greater: 0.12 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12111751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(125) + -1 + sqrt(125) + 2)**2 + (2*(sqrt(125) + -3))**2 + (-4 + sqrt(125)*4)**2.\nAnswer: -360*sqrt(5) + 3068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1332 (base 4) to base 8.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/180 and 29\/1460.\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i - 1. Let q(g) = 926*g**2 - 10 - 1659*g**2 - 1349*g**2 - 342*g - 1614*g**2. Let k(c) = q(c) - 2*y(c). Factor k(h).\nAnswer: -2*(43*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2621 + -36?\nAnswer: -2657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddqllqlddlq. Give prob of picking 1 l, 1 q, and 1 d.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 29*q**2 - 267*q**2 + 70*q**2)*(-4*q - 25*q + 6*q) as i*q**3 + r*q + d*q**2 + o and give i.\nAnswer: 3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 506733, 506735, 506737?\n\"Answer: 2*w + 506731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/9 + 4544*y\/3 - 2580992.\nAnswer: -2*(y - 3408)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 7*p**4\/12 + p**2. What is the smallest common multiple of z(1) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 118308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 754*w**2 + 22*w + 167. Is c(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3102 + -3101.999984341. Round r to seven decimal places.\nAnswer: 0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6 + -1)*-21. Let v(z) = -6*z**3 - 7*z**2 - 7*z. Let g(n) = 4. Let s(w) = w**3 + w**2 + w - 10. Let j(r) = -5*g(r) - 2*s(r). What is y*j(i) - 2*v(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/17 (b) 2\/9 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqdqqkxxq. Give prob of picking 4 q.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 166.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -13, 1\/99, -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 times 0.0893?\nAnswer: -0.0021432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 3?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x - 88*x + 140*x = 420 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -9\/8, -3\/7, -0.2, 0, -17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2997 divided by -3\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.55 * 943.\nAnswer: 9005.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = 0. Suppose z*b = -4*b - 68. Let i = b - -19. Solve -k = 2*n - 3 + i, 5*k - n = -17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5813438.2 to the nearest 10000.\nAnswer: -5810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35*-5789\nAnswer: -202615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 + j**2. Let a be w(-1). Suppose 7*c = 4*c + a. Solve c*l = l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -8464.0495805464.\nAnswer: -8464.0495805464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2\/3*w**4 - 5\/2*w**2 - w + 0 - 2\/3*w**3. Let a(q) = -q - 1. Let b(f) = -4*a(f) + s(f). What is b(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67194092 and 917?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = -7522 - 6050. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose -c - 1025 = -6*c. Suppose 0 = h*l + 5*q - c, 3*l + q = -0*l + 162. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12572 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 9. Let b = k + -56. Let r(n) = 5*n**2. Let u(x) be the second derivative of x**4\/6 + 2*x. Give b*u(m) + 4*r(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 222467461 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*k - 1. Let i be (-2)\/3*k\/4. What is the units digit of (3 + i - -2)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l**3 - 2*l)*(0 + l**2 + 0) + (10*l**4 - 59*l**4 - 235*l**4)*(71*l + 53*l - 105*l).\nAnswer: -5395*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 15177070?\nAnswer: 15177064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -22?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10967679 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 8. Let z(r) = 7. Let d(q) = 2*s(q) - 3*z(q). Let o = 22629 + -22637. What is d(o)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318592 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 1\/2, -0.5, 21, -2\/5, 1.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wccwwccccciwwwwwcci?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 1.9986 in descending order.\nAnswer: 1.9986, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69.64454 meters?\nAnswer: 69644540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 0. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 2*c**2 - 5*c - 2. Let v be l(-3). Suppose -106*j = -112*j + 18. Solve -2 - v = -j*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7091*t - 576992 = 245564 for t.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16791*h = 16783*h - 232 - 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w**2 - w. Let u(t) = 5359 - 2*t**2 - 5359. Give u(n(k)).\nAnswer: -578*k**4 + 68*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1764*j**3 - 420*j**2 + 1508*j + 676.\nAnswer: -4*(j - 1)*(21*j + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6)\/(-2) - (-3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 8 + -15 + (4 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 5*j - 4*j. Let s(c) be the first derivative of 2*c**3\/3 - 14*c - 126. What is g(s(l))?\nAnswer: -2*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let s = 1.1 + -0.1. Let u = 0.15 + 0.15. Which is the third biggest value? (a) z (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 7. Let d be i(5). Suppose p = -4*j - 0*p + 81, -3*p - 17 = -j. What is the highest common divisor of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1581)\/(-12) - 4 - 2\/(-8). Let a(n) = z*n + n**2 - 128*n - 5*n**2. Let y(h) = 26*h**2. Give y(a(j)).\nAnswer: 416*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (sqrt(50) + 1)**2 + -2.\nAnswer: 10*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 0)*(2*j + j - j) + (-2*j + 4*j - 3*j)*(-10 - 10 + 8))*(-1 + 4 + 0) to s*j + g and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-464*f**2 - 44*f**5 + 464*f**2)*(0 - 8 - 6).\nAnswer: 616*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -83. Let y(h) = -8*h - 21. Let v be y(x). Suppose 3*p + 14 = v. Let i(w) = 7*w**3 - w**2 - 2*w - 1. Give i(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1236776 - 3486776. What is b rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 18. Let f(j) = 2*j + 17. Let l(h) = -h**2 - 28*h + 709. Let a be l(16). Determine a*f(d) + 4*o(d).\nAnswer: 2*d + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236 or 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 107. Let q(f) = 2*f + 7. List the prime factors of q(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 5, d: 6, x: 3}. Give prob of sequence edx.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 28355360.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1101 = 2*t - 13. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 4*x - 16, -5*v - 3931*x = -3928*x + 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-9)\/18)\/((-45)\/(-210))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*r + 20, n - 4*r - 840 = -829 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 22*c - 112.\nAnswer: -(c - 14)*(c - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/i)**(-16)*i**(3\/5)\/(i**(-5)\/i) assuming i is positive.\nAnswer: i**(273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 3930 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6680.98 tonnes?\nAnswer: 6680980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (-24 + -14 - -44)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -22. Suppose h*x + 5*g + 50 = -5*x, 4*x - 2*g + 70 = 0. List the prime factors of (x\/(-12))\/(4\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*s + 2971. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.99601 and -0.08.\nAnswer: 1.91601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k - 9*k + 1 + 8. Let o be b(7). Solve d + o*z = 2*d, 0 = 5*d - 3*z + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4732 by 91.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059259336 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*g + 10, 4*z - 4*g = g - 1. Let y be (451 + 1)*((-116)\/4 - z). What is y rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 10. Suppose 0*u + f*u = 0. Let m(k) = -k - 5. Calculate m(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbarrbbrbbr. What is prob of picking 4 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.3, 2, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23807672 and 77128?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57020?\nAnswer: 2, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v**8\/28 - v**4\/4 + 6*v. What is the third derivative of r(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*(-259)\/(-407).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168 is divided by 2141.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3321 - -36583\/11. Let y be 21\/(-14)*8\/6. What is the common denominator of y\/7 - 4015\/(-847) and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 15\/4*k**4 + 4 + 6*k - 8*k**3 + 3\/2*k**2. What is f in d(f) = 0?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) + sqrt(187) + (sqrt(187) - sqrt(187)*-1)*-5 - sqrt(187)))\/sqrt(11))**2*5.\nAnswer: 5440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364995 by -1.\nAnswer: -364995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.106 + 0.606. Let p = -2.6 - -3. Let o = 0.04 - -1.96. What is the third biggest value in p, c, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v**2. Let u(k) = k - k - 4*k + 6*k. Give c(u(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316832 and 12820.\nAnswer: 1015446560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692191081.\nAnswer: 3, 897397027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.930655 days in hours?\nAnswer: 190.33572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + c**2 + 1 - 2*c + 1. Let a be w(7). Suppose -2*r + 0*s - s + a = 0, 5*r = -5*s + 30. Sort -4, r, 1 in descending order.\nAnswer: r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 74 = 6. Let b = -104 - -105. Calculate the remainder when 299\/5 + (48\/40 - b) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -2*h**3\/3 - 5*h**2\/2 + 66*h - 65. Differentiate p(s) with respect to s.\nAnswer: -4*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18348 to the nearest one hundred.\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3553, 7003, 10453, 13903, 17353, 20803?\n\"Answer: 3450*t + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 121, 1, 4, -3 in descending order.\nAnswer: 121, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/56 and 71\/81928.\nAnswer: 81928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*h + 105131 = -47*h. Suppose 10*y + 2957 = h. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let l(s) = 250*s**2 - 219. What is l(d(t))?\nAnswer: 250*t**2 - 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 - 199*u**2 - 2623470816 + u - u + 2623470816.\nAnswer: -213*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 63*p. Let d(t) = 2*t. Let u(y) = -10*y**2 - 190*y. Let f(z) = -190*d(z) - 2*u(z). What is h(f(q))?\nAnswer: -800*q**4 + 1260*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-4 + -1 + ((-4*sqrt(136)*1)\/(1*sqrt(8)*3))**2).\nAnswer: -254\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 + 8806693215*k**2 - 8 - 1 - 8806693215*k**2.\nAnswer: 8*k**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2163 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 4*k + 4. Let q be w(4). Suppose 4*d - t = -4*t + 17, 0 = -2*d - 3*t + 7. Let a = d + -2. Solve 11 - 3 = b - a*z, -q = -2*b + 2*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 13, e: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2479*q + 69*q**2 - 34*q**2 - 2476*q - 39*q**2.\nAnswer: -4*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68000 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.7 (b) 1\/3 (c) 3404\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 33 - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55291514 is divided by 5657.\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 6*w + 4. Let c be t(6). Suppose 0 = -c*a + 6 + 10. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 1801.\nAnswer: 9005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*q**3 + 108*q**2 + 107*q**2 - 218*q**2)*(3 - 3 + 4 - 10 - 1) in the form z*q + l + o*q**2 + w*q**3 and give w.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -3. Let m = -0.8 - d. Which is the nearest to -1? (a) 4 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 4 (b) -2 (c) 180.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 10. Suppose -10 = 4*b + 3*u - 95, -5*u - 150 = -m*b. Suppose a = 25 - b. Solve a = 3*i + 14 - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79 + 89 + 29 + 136)*(3 - 3 - 2*c**2) to u*c**2 + t*c + f and give u.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -977 + 886. Suppose 2*b - 18 + 50 = 0. Let d = b - j. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}