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*s. Calculate the greatest common factor of s and 52. 52 Let p be (3 - 0)*5 + -3. Calculate the highest common factor of p and 12. 12 Suppose 103 = 4*i - 5*v - 0*v, 0 = -5*i - 4*v + 139. Let k = i - 11. What is the highest common divisor of 80 and k? 16 Let x = 46 + -28. What is the highest common factor of 9 and x? 9 Let q(k) = 30*k + 8. Let s be q(3). Calculate the highest common factor of 14 and s. 14 Suppose 0 = -3*m + 20 + 25. What is the greatest common factor of 105 and m? 15 Let x(s) = s**2 - 12*s - 10. Let p be 48/3 - 12/4. Let n be x(p). What is the greatest common factor of 24 and n? 3 Suppose 19*l = -0*l + 2508. What is the highest common divisor of l and 36? 12 Let k = -6 - -8. Let i be (-2)/(k/(-12)*4). Calculate the greatest common divisor of 6 and i. 3 Let x(c) = -2*c. Let d be x(-1). Let u be (-2 - -53)*d/2. Suppose -7*i = -2*i - 85. What is the highest common divisor of u and i? 17 Suppose 0 = -16*u - 4*u + 160. What is the highest common divisor of 104 and u? 8 Let q(h) = h**3 + h**2 - h + 1. Let x be q(1). Suppose 0 = -3*n + x*n + 4*m + 65, 4*n - m = 185. Calculate the highest common divisor of 15 and n. 15 Let v(d) = 7*d**3 + 2*d - 1. Let u be v(1). Calculate the greatest common divisor of u and 24. 8 Suppose 4*m = -1 - 11. Let d be 3/m + 1 + 12. Let b = 23 - d. Calculate the highest common divisor of b and 55. 11 Let i(r) = -r + 9. Let o be i(9). Suppose o = -0*u + u - 4*v - 34, -u - v + 9 = 0. Let j = 25 - u. What is the greatest common factor of 121 and j? 11 Let x = 365 + -211. What is the highest common factor of 22 and x? 22 Suppose 6 = 3*b - 33. Calculate the highest common divisor of 143 and b. 13 Let r(s) = s**2 + 3*s - 10. Let i be r(-7). Calculate the highest common factor of 18 and i. 18 Let t = 54 - 30. Suppose 3*z - t = z. Calculate the greatest common divisor of 84 and z. 12 Let o be (-6)/(-9)*(-4 - -7). What is the greatest common factor of o and 4? 2 Let b be 315/(-10)*((-5)/(-3) - 3). Calculate the highest common divisor of 126 and b. 42 Let q(s) = 6*s**2 - 1. Let w be q(4). Suppose j + w = 6*j. What is the highest common divisor of j and 152? 19 Let k(j) = -j - 7. Let b be k(-10). Suppose -5*n - 419 = -3*m, 6*n - b*n - 435 = -3*m. Let v = -12 + 25. What is the highest common divisor of m and v? 13 Suppose -85 = 2*q - 3*x, 2*x - 86 = -3*q + 5*q. Let u be 6/(-33) + (-4936)/q. Calculate the highest common divisor of u and 14. 14 Suppose 0 = -2*v + 4*v. Suppose 2*t - 6 - 6 = v. What is the highest common factor of 9 and t? 3 Suppose -5*k + 17 = -4*k. Calculate the greatest common divisor of 34 and k. 17 Suppose 30 = -20*m + 19*m. Let l be (-648)/m - 6/10. What is the highest common divisor of l and 126? 21 Let a be -12*2*1/(-4). Suppose -72 = -9*w + a*w. What is the highest common factor of w and 96? 24 Let u(a) = a + 2. Let t be u(5). Calculate the greatest common divisor of t and 56. 7 Suppose 159 = 5*v + 2*r, -3*r - 16 = -2*v + 59. What is the highest common divisor of 297 and v? 33 Let r = 7 - 14. Let s(o) be the first derivative of -o**4/4 - 8*o**3/3 - 9*o**2/2 - o + 4. Let u be s(r). What is the greatest common factor of u and 26? 13 Suppose -5*u + 10 = -0. Calculate the greatest common divisor of 10 and u. 2 Suppose 13*f = 5*f + 16. Calculate the highest common divisor of 24 and f. 2 Let j = 11 - 8. What is the highest common factor of 21 and j? 3 Let j = 3 + 8. What is the greatest common factor of j and 55? 11 Suppose 6 = -u - m - m, -3*m = -4*u + 20. Suppose 0 = -u*q + 5 + 7. Let h(d) = d**2 + d - 7. Let f be h(q). Calculate the highest common factor of 14 and f. 7 Let a be -5 + 4 - 128/(-2). Calculate the highest common divisor of 7 and a. 7 Let k = -27 - -40. Calculate the greatest common factor of 143 and k. 13 Let x(k) = -k**3 - 5*k**2 + 4*k - 10. Let q be x(-6). Let s be ((-6)/8)/(2/(-8)). Suppose -6 = -s*a + 12. What is the highest common factor of a and q? 2 Let w = -39 + 45. What is the highest common factor of 18 and w? 6 Let s be (-2 + 2)/(0 + 2). Let v = -4 + s. Let w be 30/4 + (-2)/v. What is the highest common divisor of 16 and w? 8 Let p = -37 + 120. Suppose p = 5*g + 2*u + 13, -2*u = -4*g + 56. What is the highest common factor of g and 112? 14 Suppose 0 = -5*q + 6*q - 1. Let z be q*(8 - 3/1). Calculate the highest common factor of 2 and z. 1 Let d be (2 + -1)*(1 + -1 - -20). Calculate the greatest common factor of d and 30. 10 Let n(w) = 2*w**3 + 4*w**2 - 7*w + 3. Let g be n(3). What is the greatest common divisor of 9 and g? 9 Let r(g) = -g - 5. Let v be r(-7). Suppose -v*t - 2*t + 252 = 0. Calculate the highest common divisor of 7 and t. 7 Let i be ((-6)/15)/((-1)/15). Suppose -2*y = -y - i. Calculate the highest common factor of y and 18. 6 Let v be 67 + 2 + (-3 - 3). Calculate the greatest common divisor of v and 21. 21 Let y = -5 + 7. Let b be (-1)/y - 2/4. Let d be -2 - (-2 + (b - 161)). What is the greatest common divisor of d and 18? 18 Suppose 0 = -2*b - 5*c + 8, 8*b = 4*b + 5*c + 16. Calculate the greatest common divisor of b and 2. 2 Let m = 31 - 7. Let t = -3 - -1. Let w be (t - 4)*12/(-9). What is the greatest common factor of w and m? 8 Suppose -3*s + 45 - 249 = m, -4*s - 272 = 3*m. Let d = 9 - s. What is the greatest common divisor of d and 11? 11 Let b be (-51)/(-12) + (-2 - (-21)/12). What is the highest common divisor of b and 10? 2 Let q(x) = -x**3 + 11*x**2 + x - 11. Let h be q(9). Calculate the highest common divisor of h and 16. 16 Let c(h) = h + 1. Let f be c(3). Suppose
{ "pile_set_name": "DM Mathematics" }
. Suppose 5*n - 1008 = -s. Is n a multiple of 36? False Let s be ((-2)/6)/(1/(-663)). Let d = s + -121. Does 10 divide d? True Let o be 416/(-42)*-39 - (-2)/(-7). Let j = -267 + o. Is 43 a factor of j? False Suppose 11*g + 24 = 14*g. Suppose -9*f = -g*f - 104. Is f a multiple of 13? True Let k = 17 + -33. Let c = 18 + k. Suppose c*y = -3*x + 67, -y - 32 = -3*x + 4*y. Is x a multiple of 18? False Does 13 divide (-15)/45 - 154/(-3)? False Is (17 + 296)*(2 - 0) a multiple of 10? False Let f(k) = -k**2 + 19*k. Let p be (45/(-12))/(-3)*(0 - -8). Does 45 divide f(p)? True Let b(h) = h**3 - 12*h**2 + 4*h - 13. Let f be b(12). Is 14 a factor of 3409/f - ((-6)/(-15) - 1)? True Let v(x) = 3*x - 4. Let q(n) = 7*n - 9. Let d(r) = -2*q(r) + 5*v(r). Let t be d(-4). Let p(u) = u**2 + 6*u + 11. Is p(t) a multiple of 3? False Suppose -3*s - 2*x = 2*s - 930, 5*x = 0. Is 26 a factor of s? False Let w be -4 + 36 + 4/(-1). Does 32 divide 385/4 - 7/w? True Suppose 2*c - 6*c - 12 = 0. Let v = c + 5. Is 2 a factor of -1 + 2 - (v - 5)? True Let w(s) = -s - 6. Let y be w(-8). Suppose -b - 5*u + y = 0, 5*u - 18 + 4 = 3*b. Let q(g) = -2*g**3 - 3*g**2 + 2*g + 4. Is q(b) a multiple of 7? False Suppose -b + 0 = -4. Is 12 a factor of (14 + -18)*(-151)/b? False Let v = -669 + 1365. Is v a multiple of 24? True Is 4 a factor of (2 - 0)*(580/8 + -4)? False Suppose -5*y + 4*p = -y - 16, 4 = -p. Does 16 divide 9/(-6)*(y - (-320)/(-15))? True Let y(b) = 7*b**3 - 2*b. Let w(z) = 6*z**3 + z**2 - z - 1. Suppose -l - 4*k = 2, -l = 2*l - k + 19. Let j(s) = l*w(s) + 5*y(s). Is j(-6) a multiple of 10? True Let n(o) = -o**3 + 31*o**2 - 9*o - 49. Is n(29) a multiple of 49? True Let n = -49 + 143. Let p = n - -76. Is 22 a factor of p? False Let a(x) = x - 14. Let p be a(11). Let h be (-3)/(p*(-1)/4). Let y = 22 + h. Is 5 a factor of y? False Suppose -5*p = -3*n + 488, -2*n + 327 = -2*p - p. Let q = n - 35. Does 34 divide q? True Let x(m) = -m - 11. Let d(k) be the third derivative of -k**4/24 - 5*k**3/3 + 5*k**2. Let h(f) = 2*d(f) - 3*x(f). Is 3 a factor of h(-7)? True Let d(i) = 7*i**3 - 5*i**2 - 19*i + 1. Let c(w) = 4*w**3 - 2*w**2 - 10*w + 1. Let t(y) = -5*c(y) + 3*d(y). Let z be t(6). Let h = 26 + z. Is 11 a factor of h? False Let v(s) = 5 + 51*s + 55*s - 106*s + 5*s**2. Is 13 a factor of v(5)? True Suppose -2*d - 10 = -2*s + 128, 0 = -d - s - 73. Let v = d + 134. Suppose 0*m = m - v. Is m a multiple of 21? True Suppose 14*x - 45*x + 4464 = 0. Is x a multiple of 16? True Let p be 2 + -3 + 2 - 3. Let t be 1/((-2)/4) + 8. Let q = t + p. Does 2 divide q? True Suppose -4*i - 2 = -3*o, 5*o - 6*i + i = 5. Suppose -2*k + o*r = 3*r - 161, 3*k - 241 = -r. Is k a multiple of 5? True Let o = 1385 - 782. Is o a multiple of 45? False Let s(u) = 13*u + 2. Let z(r) = -10*r - 1. Let c(b) = 5*s(b) + 8*z(b). Let k(a) = a**2 + 5*a + 3. Let d be k(-4). Does 7 divide c(d)? False Let f(m) = m**2 + 2*m - 5. Let t be f(-4). Suppose -t*l + 8 = -2*l. Let k = 54 - l. Is k a multiple of 23? True Let m(g) = 156*g**3 - g**2 + 6*g - 8. Is 8 a factor of m(2)? True Let i(u) = -822*u - 9. Let p be i(-3). Let c be (-2)/3*p/(-26). Suppose -c = -3*s + 129. Does 8 divide s? True Let u = 39 - -207. Does 6 divide u? True Suppose -20*r + 3*o - 189 = -23*r, -179 = -3*r - o. Is 2 a factor of r? True Let r(f) = -9*f - 5. Let n be r(-2). Let b = n + -20. Let t = b - -18. Is t a multiple of 4? False Let y(u) = u + 7. Let n be y(-4). Let d = -3 + n. Suppose d = -2*w + 19 + 1. Is w a multiple of 5? True Let z(m) = -m**3 - 1. Let a(b) = 84*b**3 + b + 1. Let j(t) = a(t) + 3*z(t). Does 10 divide j(1)? True Let s(j) = -4*j**3 - 5*j**2 + 15. Is 39 a factor of s(-5)? True Let a(x) = 5*x**3 + 2*x**2 + 3*x - 4. Let v(u) = 5*u**3 + u**2 + 2*u - 3. Let m(g) = -3*a(g) + 4*v(g). Let h be m(-1). Is 18 a factor of (-4)/h - 106/(-3)? True Does 8 divide (9/(-2))/(-1)*32? True Let x(g) = -g**3 - 8*g**2 - 59*g + 21. Is 15 a factor of x(-12)? True Suppose 32 + 13 = 5*l. Let u(a) = a**2 - 8*a - 6. Let j be u(l). Does 11 divide (3 - j/1) + 61? False Let t(l) = -29*l - 79. Does 3 divide t(-11)? True Does 6 divide 6 - 3 - 27*-9? True Suppose -10*b + 766 = 3*i - 6*b, 4*i - 988 = 3*b. Is 10 a factor of i? True Let d be (-20 - -21)/(1/(-133)). Let w = 244 + d. Is 37 a factor of w? True Suppose -14*y = -10*y - 4708. Does 32 divide y?
{ "pile_set_name": "DM Mathematics" }
dps. -0.000006 Let n = -4 - -6. Suppose n*t = -5323 + 17739. Suppose -3*w - 3714 = -x - 2*x, -5*x - 4*w + t = 0. Round x to the nearest one hundred. 1200 Let i = -6806.0009691 + 6806. Round i to five decimal places. -0.00097 Suppose -z - 7035 = -3*w, -2*w = -7*w - z + 11725. What is w rounded to the nearest 100? 2300 Let g = -8 - -8. Suppose 4*r - 5*r + 15422392 = g. Let o = r + -9022392. What is o rounded to the nearest 1000000? 6000000 Let c(y) = 3 - 10 + 1255*y + 7. Let s be c(6). What is s rounded to the nearest one thousand? 8000 Let x(s) = 266944*s**2 + 30*s - 164. Let m be x(6). What is m rounded to the nearest 1000000? 10000000 Let m = 445341 + -665977. Let q = m - -220633.60027. Let f = q + 2.4. Round f to 4 decimal places. 0.0003 Let l = 160.432 - 162. Let j = -0.148 - l. Round j to one dp. 1.4 Suppose -9*o + 142620759 = 16080759. What is o rounded to the nearest 1000000? 14000000 Let t = -0.5307 - 64.9293. What is t rounded to 0 decimal places? -65 Suppose 4*q - 5*x - 235988 = -786368, -688008 = 5*q + 2*x. Round q to the nearest ten thousand. -140000 Suppose s + 20 = 5*s. Suppose 6262 - 16967 = -k + w, s*k = 2*w + 53510. What is k rounded to the nearest 1000? 11000 Let q(n) = -32999*n**3 + 2*n**2 + 5*n + 10. Let j(z) = z**2 - 9*z + 18. Let g be j(4). Let r be q(g). What is r rounded to the nearest one hundred thousand? 300000 Let b(u) = 9 - 1 + 2899*u + 1 - 7. Let f be ((-8)/10)/((-8)/20). Let n be b(f). What is n rounded to the nearest one thousand? 6000 Let r = 3577.7 + -2874. Round r to the nearest ten. 700 Let t = -0.0190353 - -0.01924. Round t to five dps. 0.0002 Let v = 2.9 - 2.5. Let k = v + 0. What is k rounded to one decimal place? 0.4 Let m = -362.1 - -322. What is m rounded to the nearest integer? -40 Let z = -0.052 + 0.052000695. Round z to seven decimal places. 0.0000007 Suppose 0 = -c + 5*c - 28. Let w(g) = 702041*g**2 - 4. Let l be w(c). Suppose a - 2*o - 8600002 = 0, 3*o = 4*a - 2*o - l. Round a to the nearest one million. 9000000 Let c = -9206 - -9587.1. Let p = -361 + c. Round p to the nearest 10. 20 Let g = 27.75 - 27. Let p = -4.65 + g. Let a = p + 3.899966. What is a rounded to five decimal places? -0.00003 Let p(b) = b**3 + 6*b + 3. Let d be p(0). Suppose 0 = 3*o + 6, 850 = -3*l + d*o - 8*o. What is l rounded to the nearest one hundred? -300 Let k = -1103 - 429. What is k rounded to the nearest 100? -1500 Let t = -20.06 + 20. Let k = -0.05999986 - t. What is k rounded to 7 dps? 0.0000001 Let h = 214.6 + -2470.6. Let m = h - -2258.131. Let b = m + -0.191. What is b rounded to one decimal place? 1.9 Suppose -2*j - 2 = -20. Suppose j*o - 5*o = -8489384. Let t = 1082346 + o. What is t rounded to the nearest one hundred thousand? -1000000 Let i = -0.03944 - -0.0389447. Round i to 5 decimal places. -0.0005 Let n = 33 + 0.4. Round n to 0 decimal places. 33 Let l = -697 - -696.7484. Round l to 1 decimal place. -0.3 Let k = 204 - 207.45. What is k rounded to the nearest integer? -3 Let s = 38.92 + -39. Let v = -0.047 - s. Round v to 3 dps. 0.033 Let h(z) = -z + 8. Let t be h(8). Suppose 4*f - 4 = -t*f. Let a be 5/(f + (-83)/82). Round a to the nearest 100. -400 Let u = 34.92 + -48.9. Round u to 0 dps. -14 Let q = 0.7 + -17.7. Let f = q + 16.9999856. Round f to 6 dps. -0.000014 Let w = -304 + 303.9999431. What is w rounded to five decimal places? -0.00006 Let a = -20 - -88. Let j = a + -67.9999756. What is j rounded to six decimal places? 0.000024 Let y = 0.1759 + 43.0641. Let j = y + -47. Let b = -0.54 + j. What is b rounded to zero decimal places? -4 Let t = 0.005894397672 + -443936.006404397672. Let y = 443942 + t. Let z = 6 - y. What is z rounded to 4 dps? 0.0005 Let l = 9.73 + -9.7414. Let t = 171111 + -171090.9114. Let h = t - l. What is h rounded to the nearest integer? 20 Let a = 136591720 + -531327992. Let f = a + 394736292.9999931. Let j = 21 - f. What is j rounded to 6 dps? 0.000007 Let s = -586.9739 - -587. What is s rounded to three decimal places? 0.026 Let f = 2.42 - 2.4199928. Round f to six decimal places. 0.000007 Let x = -0.005 - -39.005. Let f = 38.99935 - x. What is f rounded to 4 dps? -0.0007 Let u = 1381.1734049 + -1381.355. Let q = u + 0.9815861. Let f = 0.8 - q. Round f to six decimal places. 0.000009 Suppose 372 = 5*t - 4*t. Let r be (12/(-14))/((-1)/7). Let h be (-200)/r*t/8. What is h rounded to the nearest one hundred? -1600 Let g be -4*(-3)/(-6) - 10454. Let p = g - 4944. What is p rounded to the nearest one thousand? -15000 Let c(x) = -2*x - 22. Let w be c(-8). Let v be (-4 + 270004)/(2/(-160)*w). What is v rounded to the nearest one million? 4000000 Let w(o) = 339*o**3 - o**2 + 2*o. Let f(j) = 339*j**3 - 2*j**2 + 2*j. Let z(q) = -2*f(q) + 3*w(q). Let a be z(2). What is a rounded to the nearest 100? 2700 Let w = -142.84 - -2.84. Let d = 99 + w. Let l = 41.54 + d. What is l rounded to 1 dp? 0.5 Let z be (150850/(-30))/(1/(-3)). Suppose -3*u + u - 6046 = -2*q, -5*u - z = 5*q. What is u rounded to the nearest 100? -3000 Let f(o) = 25277*o**2
{ "pile_set_name": "DM Mathematics" }
easing order. -1, 3, s, 356 Let f be 6/9 - (-8)/60. Let d = -7/15 + f. Sort 1, 1/10, d in decreasing order. 1, d, 1/10 Let n(j) = -j**3 + 26*j**2 + 58*j - 58. Let v be n(28). Sort v, 2, 4, -4. -4, v, 2, 4 Let f(m) = m**3 - 2*m**2 - 3*m + 3. Let l be f(2). Let h = -2 - l. Let o(c) = 8*c**3 + c**2 - 4*c + 2. Let n be o(1). Put h, n, -3 in descending order. n, h, -3 Let x(u) = -17*u - 118. Let g be x(-6). Sort 0, 4, g in ascending order. g, 0, 4 Let q = -7228 - -7231. Let j = -0.6 + 0.1. Sort j, q, 1/8. j, 1/8, q Suppose 3*b + 18 = -2*s + 12, 0 = b - 5*s + 2. Put 1, b, -5, 7 in ascending order. -5, b, 1, 7 Let d = 0.384 - 0.154. Let r = 0.726 + -4.496. Let p = r - d. Put 3, -5, p in increasing order. -5, p, 3 Let v = -4/1215 - -17824/1215. Let b = 15 - v. Sort -5, -3/7, -1/8, b in ascending order. -5, -3/7, -1/8, b Suppose -4*b + 3*j = -19, -5*b + 4*b + 8 = -4*j. Let y be 5/2*b*(-5)/(-25). Let r = -0.8 - -0.5. Sort -3, y, r in increasing order. -3, r, y Let z = -3055 - -3055. Sort z, 8, 3, 2 in decreasing order. 8, 3, 2, z Let b = 57.6 - 52. Let g = -5.5 + b. Let s = -11/12 - -2/3. Sort s, g, -3. -3, s, g Let i(b) = -b**2 + 5*b + 4. Let o be i(5). Suppose 156*y = 162*y + 24. Let r be ((-6)/y)/((-2)/o). Sort 2/15, 10, r in increasing order. r, 2/15, 10 Let w be 125*5/150*2/(-5). Put -12, -2/11, w in descending order. -2/11, w, -12 Let s(a) = a**2 + 17*a + 65. Let q be s(-5). Sort q, -1, 3 in ascending order. -1, 3, q Let l be ((-180)/(-4))/(-5) - -13. Put l, 31, 3, -4 in decreasing order. 31, l, 3, -4 Let f = 0.3 + -0.37. Let s = f - -5.07. Suppose 2 - 4 = -2*k. Put s, -1, k in descending order. s, k, -1 Let l = 573 - 162. Put -3, l, 5 in increasing order. -3, 5, l Let z(j) = 3*j + 8. Let o be z(-3). Let f be 1 + o - 1 - (4 + -4). Sort 1, f, -0.1 in decreasing order. 1, -0.1, f Suppose 2*s + 0*u = -2*u + 8, -8 = 3*s - u. Suppose 0 = -3*i - 3 - 6. Sort i, -1/2, s. i, s, -1/2 Let t = -2345 - -2342. Put 82, 2, 1, t in decreasing order. 82, 2, 1, t Let z = -635 - -632. Put -4, 3, -16, z in ascending order. -16, -4, z, 3 Let n(j) = j**3 + 5*j**2 - 3. Let x be n(-5). Sort 16, 0, x in increasing order. x, 0, 16 Suppose 0 = 4*m + 31*m - 1015. Sort 3, 8, m in descending order. m, 8, 3 Suppose -3*p + 2*q + 73 = 19, 0 = 2*p - 2*q - 34. Suppose p*r - 5 = 25*r. Let j = 0 + 2. Sort j, r, 3 in decreasing order. 3, j, r Let o(p) = -p**2 - 2*p - 1. Let i be o(-1). Sort i, 46, 5 in decreasing order. 46, 5, i Let y = -10/21 - -59/168. Suppose 0 = 2*r + 3*r + 320. Let o = r + 131/2. Sort -1/10, y, o in decreasing order. o, -1/10, y Let t be ((-1)/(-1) - -1) + 1. Let u be ((-2)/6)/(2/30). Let d = -9 - u. Sort 4, d, t in increasing order. d, t, 4 Let z = 7.6 + -4. Let j = 3.79 - z. Let g = j + -0.49. Sort 0.3, 3/7, g in increasing order. g, 0.3, 3/7 Let j = -39 + 353/9. Sort -4/5, 2/3, j in decreasing order. 2/3, j, -4/5 Suppose -10*d + 6*d + 20 = 0. Let p = 20 - 20.5. Sort d, -2, p. -2, p, d Let w be 3 - (-21 - 9/3). Let d be 17 - (30/(-9) + 2/6). Let x = w - d. Put 3, -4, x in increasing order. -4, 3, x Let b(o) = 61*o + 2*o**3 - o**3 + 8 - 64*o + 4*o**2. Let r be b(-5). Put -3, 5, r in decreasing order. 5, r, -3 Let f = -793 - -794. Sort f, -5, 9 in decreasing order. 9, f, -5 Let k be 21/(-15) + 14/35. Suppose 2*w + 3 = -4*c - 17, 3*c - 4*w = -15. Let i be (-264)/(-110) - 3/c. Sort i, k, 0 in increasing order. k, 0, i Let l = 524 + -535. Put -5, l, -2, 0 in increasing order. l, -5, -2, 0 Let i be 115 + -3 + 0 + 10. Put i, 2, 5 in decreasing order. i, 5, 2 Let k = 38 - 33. Let o = k + -3.1. Let n = 1.7 - o. Put 2/9, n, -3 in decreasing order. 2/9, n, -3 Let g = 457 - 462. Sort 3, g, 5, 1 in descending order. 5, 3, 1, g Let i = 0.3836 - -0.1164. Put 2/5, i, 1, -1 in decreasing order. 1, i, 2/5, -1 Suppose 0 = -11*j + j. Let s = -82 + 88. Sort -2, s, j in increasing order. -2, j, s Let c = 516 + -515. Put -5, -1/14, 0.4, c in decreasing order. c, 0.4, -1/14, -5 Let s(k) = -23 + 0*k - 3*k - 5*k + 6*k. Suppose 199*n - 201*n - 28 = 0. Let y be s(n). Put -5, y, -3 in increasing order. -5, -3, y Let u = -8 + 11. Let q be -2 + (u - 2/(-1)). Suppose 31 - 1 = q*p. Put 5, 2, p in increasing order. 2, 5, p Let s = 17/8 + -109/40. Suppose c + 2 = 6. Let l be c/(-14) - (-32)/63. Put -4,
{ "pile_set_name": "DM Mathematics" }
t k be (-2)/13 - -2 - (-32)/208. Determine j so that -2/5*j**3 + 0 - 2/5*j**4 + 2/5*j + 2/5*j**k = 0. -1, 0, 1 Let v(y) be the first derivative of y**3 + 3*y**2 - 24*y - 24. Solve v(f) = 0 for f. -4, 2 What is z in 21*z - z**3 - 3*z**2 - 46*z + 23*z = 0? -2, -1, 0 Let t(l) = -l - 2. Let s be t(-4). Factor -n**3 + n**3 - n**3 - n - 2*n**s. -n*(n + 1)**2 Let l(s) be the third derivative of -s**7/525 + s**6/300 + s**5/150 - s**4/60 + 25*s**2. Factor l(h). -2*h*(h - 1)**2*(h + 1)/5 Let o(j) be the third derivative of -1/210*j**7 + 0*j**3 - 1/672*j**8 - 1/240*j**6 + 2*j**2 + 0*j**5 + 0 + 0*j + 0*j**4. Factor o(l). -l**3*(l + 1)**2/2 Let q(b) be the third derivative of b**7/105 - 7*b**6/180 - 17*b**5/270 - b**4/36 + 30*b**2. Find y, given that q(y) = 0. -1/3, 0, 3 Factor 5*q**2 + 31 - 26 + 4*q + 6*q. 5*(q + 1)**2 Let k(d) = -d**2 + 8*d - 5. Let j = -7 - -14. Let y be k(j). What is o in 0 + 0*o + 0*o**y + 0*o**4 + 2/7*o**3 - 2/7*o**5 = 0? -1, 0, 1 Let d = 604/5 - 120. Suppose 6/5*o + 2/5*o**2 + d = 0. Calculate o. -2, -1 Suppose -3*j = -j, 3*s - 30 = -4*j. Suppose -4*z - p + 9 = -3*z, s = 5*z - 2*p. Suppose 3*q**3 + 1 - q**z - q**3 - 3*q + q = 0. What is q? -1, 1 Let h(q) be the first derivative of q**2 + 0*q + 1/3*q**3 - 3. Factor h(w). w*(w + 2) Suppose -4*x + 13 = b, -5*x = 4*b - 9 - 21. Let j = 3 + x. Solve -2/3*u**2 + 2/3*u**3 - 2/3*u**j + 0 + 2/3*u**4 + 0*u = 0 for u. -1, 0, 1 Suppose 0 = -4*v, -5*v + 15 - 7 = 4*x. Determine d, given that 2/3*d**x + 1/3*d + 0 = 0. -1/2, 0 Let o = 2 + 0. Find k, given that 3*k**3 + 3*k**3 - 2*k**3 - 2*k**5 - o*k = 0. -1, 0, 1 Solve c**2 + c**2 - c**2 + 5*c + 0*c**2 + 4 = 0. -4, -1 Let c(y) be the first derivative of -y**4/8 + 5*y**3/3 - 25*y**2/4 + 8. Let c(u) = 0. Calculate u. 0, 5 Suppose -2*s + 2 = -4. Let c(y) be the first derivative of s - 5*y**3 + 7*y + 3*y**3 - y**2 - 3*y. Factor c(t). -2*(t + 1)*(3*t - 2) Suppose 2*j + 2*j + 4*l = 16, -j - 2*l = -5. Suppose 19 = j*t + 10. Factor -1/3*a**t + 0*a**2 + a - 2/3. -(a - 1)**2*(a + 2)/3 Suppose h - 10 = -h. Suppose 0 = -h*b + 2*b + 12. Factor 0*i**3 + 0 - 2/7*i**5 + 2/7*i - 4/7*i**b + 4/7*i**2. -2*i*(i - 1)*(i + 1)**3/7 Factor -5*o**2 + 4*o**3 - 2*o**2 - o**2 + 4*o. 4*o*(o - 1)**2 Let w(v) be the second derivative of 0*v**3 + 0 - 2*v + 1/12*v**4 - 1/2*v**2. Let y(m) = -6*m**2 + 4*m + 1. Let o(b) = -5*w(b) - y(b). Let o(g) = 0. What is g? 2 Factor -2/7*s**3 + 0*s + 0 + 0*s**2 - 2/7*s**4. -2*s**3*(s + 1)/7 Let d(v) be the second derivative of -v**4/42 - v**3/21 - 22*v. Find g such that d(g) = 0. -1, 0 Let m(d) be the first derivative of 3/8*d**2 - 1/16*d**4 + 0*d**3 - 4 + 1/2*d. Factor m(q). -(q - 2)*(q + 1)**2/4 Let b(z) = z**3 + z. Let l(y) = 12*y**4 - y**3 - 12*y**2 - 9*y. Let q(x) = 5*b(x) + l(x). Let q(t) = 0. What is t? -1, -1/3, 0, 1 Let g(v) be the second derivative of v**5/15 + v**4/12 - v**3/3 + v**2 + v. Let s(u) be the first derivative of g(u). Suppose s(b) = 0. Calculate b. -1, 1/2 Let f(g) = -g - 5. Let c be f(-5). Suppose p - 4*p + 12 = c. Find b, given that b**p + 4 - 4 = 0. 0 Let p(j) be the third derivative of j**6/480 + j**5/80 + j**4/48 + 8*j**2. Factor p(v). v*(v + 1)*(v + 2)/4 Suppose -z + 5*z = -3*q - 27, -3*z - 14 = q. Let l = q + 5. Suppose 1/3*i**3 + l + 1/3*i**4 - 1/3*i - 1/3*i**2 = 0. Calculate i. -1, 0, 1 Let j(p) be the first derivative of p**6/120 - p**5/20 + p**4/12 - 2*p**2 + 5. Let z(o) be the second derivative of j(o). Find v, given that z(v) = 0. 0, 1, 2 Let k = -485/3 - -162. Factor 0 + k*n**2 + 0*n. n**2/3 Let s = 14 + -12. Let q**2 - 2*q**s - 4*q - 4 + 0*q**2 = 0. Calculate q. -2 Let i(m) be the second derivative of 2*m + 0*m**2 + 1/5*m**5 + 0 + 2*m**4 + 6*m**3. Determine n, given that i(n) = 0. -3, 0 Let v(q) = -11*q**4 - 21*q**3 - 4*q**2 + 6*q - 6. Let x(o) = 65*o**4 + 125*o**3 + 25*o**2 - 35*o + 35. Let t(p) = 35*v(p) + 6*x(p). Factor t(c). 5*c**
{ "pile_set_name": "DM Mathematics" }
. Determine m(q(y)). 28*y**2 Let n(d) = 2*d - 4*d - 5*d + d. Let g(j) be the first derivative of 2*j**3/3 - 2. What is n(g(z))? -12*z**2 Let t(s) = 4*s + 9. Let f(u) = -u - 2. Let c(o) = 9*f(o) + 2*t(o). Let i(z) be the first derivative of z**3 + 5. Determine c(i(n)). -3*n**2 Let p(m) = 128*m. Let k(t) = -4*t**2 + 4. What is k(p(z))? -65536*z**2 + 4 Let x(m) be the first derivative of 2*m**3/3 + 2. Suppose 0 = -i + 2. Let k(r) = i*r**2 - 2*r**2 - 2*r**2. Calculate x(k(w)). 8*w**4 Let p(s) = 2*s. Let x(f) = -4*f**2 + 4. Let t be (4 + -2 + 0)/2. Let n(y) = 2 - 2 + 0 + 1. Let h(k) = t*x(k) - 4*n(k). Determine p(h(g)). -8*g**2 Let c(k) = 3*k**2. Let r(h) be the third derivative of h**5/15 - 11*h**2. What is c(r(j))? 48*j**4 Let s(f) be the second derivative of f**3/6 - 10*f. Let y(b) = -52*b. Determine s(y(d)). -52*d Let g(x) = -10*x**2. Let n(a) = -23*a. Give n(g(l)). 230*l**2 Let u(f) = -2*f. Let d(a) be the third derivative of -a**4/24 + 3*a**2. Calculate u(d(m)). 2*m Let d(b) = 4*b**2. Let f be (4/(-3))/((-6)/9). Let q(p) = 2 - 1 - 1 - 2*p**f. Determine d(q(c)). 16*c**4 Let y(j) be the first derivative of 5*j**3/3 + 7. Let k(v) = v**2. Determine k(y(h)). 25*h**4 Let p(n) be the first derivative of 44*n**3 + 3 - 42*n**3 + 2. Let o(k) = 2*k. What is o(p(j))? 12*j**2 Let w(r) = -15*r. Let y(i) be the second derivative of -i**4/6 + 7*i. Calculate y(w(t)). -450*t**2 Let p(h) = 4*h. Let x(z) = -68*z. Calculate x(p(r)). -272*r Let q be (18/15)/((-15)/(-50)). Let w be (-2 + (-4)/(-2))/2. Let g(y) = w + 0 - q*y**2. Let b(h) = -h. Determine b(g(d)). 4*d**2 Let w(k) = -k**2. Suppose -2*j + 7 = -1. Let q(c) = -j + 4 + c**2 + c. Let y(t) = -8*t**2 - 7*t. Let v(a) = 21*q(a) + 3*y(a). What is v(w(u))? -3*u**4 Let f(k) = -3*k. Let s(q) be the third derivative of -q**4/6 - 3*q**2. Determine f(s(u)). 12*u Let s(f) = -56*f**2. Let r(a) = -16*a. Calculate s(r(x)). -14336*x**2 Let i(n) = 3*n + 8. Let h(v) = -v - 3. Let o(z) = -8*h(z) - 3*i(z). Let c(g) = -8*g. Give o(c(s)). 8*s Let x(m) = m**2. Let w(i) = -7*i**2. Let v(g) = -w(g) - 4*x(g). Let j(p) = 2*p. Calculate v(j(f)). 12*f**2 Let n(w) = 14*w - 1. Let z(q) = -q**2. Give n(z(l)). -14*l**2 - 1 Let g(j) = -2*j - 9. Let u(k) be the second derivative of k**4/4 + 12*k. Give g(u(z)). -6*z**2 - 9 Suppose -3*x = -42 + 12. Suppose -a + 2 = -y - 5, 2*y = a - x. Let f(n) = -5*n + a*n - n. Let q(k) = 2*k. Calculate q(f(w)). -4*w Let p(m) = -5*m**2. Let z(i) = 8*i + 2*i - 8*i. Calculate z(p(w)). -10*w**2 Let b(u) = -38*u**2. Let h(a) = -4*a - 5. Calculate h(b(y)). 152*y**2 - 5 Let w(b) be the first derivative of 2*b**3/3 + 5*b**2 + 31. Let t(p) = 2*p**2. What is t(w(g))? 8*g**4 + 80*g**3 + 200*g**2 Let d(n) be the third derivative of -7*n**5/60 + 5*n**2. Let a(w) = 2*w. What is d(a(o))? -28*o**2 Let y(j) = 5*j. Let p(a) be the third derivative of a**6/360 + 4*a**3/3 - 5*a**2. Let g(u) be the first derivative of p(u). Calculate y(g(s)). 5*s**2 Suppose -u + 15 = -l, -2*u - 2*l + 27 = -3. Let n(s) = -u + 15 + s**2. Let q(c) be the third derivative of -c**5/60 + 2*c**2. Calculate n(q(v)). v**4 Let u(h) = -58*h**2. Let g(o) = 2*o**2. Determine g(u(r)). 6728*r**4 Let h(u) = 3*u. Let l(j) = -j - 1. Let d be l(-3). Let g(o) = d*o - o - 3*o. What is g(h(i))? -6*i Let s(u) = u**2. Let c(z) be the second derivative of -3*z**3/2 + 9*z. Determine c(s(w)). -9*w**2 Let s(j) = 4*j**2. Let q(w) = 41*w. Calculate q(s(o)). 164*o**2 Let g(z) = -16*z. Let n(h) = -5*h - h + 5*h. Determine g(n(x)). 16*x Let z(m) = -3*m**2. Let i(x) be the second derivative of -x**4/6 - 12*x. Give i(z(f)). -18*f**4 Let u(g) = 4*g. Let k(b) = -b + 17. Let l be k(12). Suppose h - 25 = -2*h + l*a, a + 5 = -4*h. Let n(m) = h*m**2 + 2*m - m**2 - 2*m. Calculate n(u(c)). -16*c**2 Let x(a) = -a**2 - 7*a - 4. Let r be x(-6). Let n(g) = -5*g**2 + 2*g**2 + 0*g**r + 0*g**2. Let w(p) =
{ "pile_set_name": "DM Mathematics" }
5)/(-52)*(15 + -3)? 13 What is the remainder when 341 is divided by (-10)/15*171/(-2)? 56 Suppose -w + 37 + 47 = 0. Suppose w = 3*c + 27. What is the remainder when c is divided by 7? 5 Let w = -53 - -145. Let s = 117 - w. Calculate the remainder when s is divided by 2. 1 Suppose 5*k + 3*a = 380, -6*a = -4*a. What is the remainder when k is divided by 16? 12 Let b = 186 - 105. What is the remainder when b is divided by 18? 9 Let y(x) = 22*x + 9. Let o be y(5). Suppose o = 5*c - 81. What is the remainder when 158 - (0 - 1 - -1) is divided by c? 38 What is the remainder when 1059 is divided by (-7)/(-7)*70 + -11? 56 Let f(m) = -m + 45. Let o = 46 - -5. Suppose 0 = -3*l - 15 + o. What is the remainder when f(0) is divided by l? 9 Let c = 6 + -3. Suppose 0 = c*p - s - 35, 6*s = 5*p + s - 45. What is the remainder when 50 is divided by (4/(-2))/((-2)/p)? 11 Suppose -119*j = -115*j - 528. Calculate the remainder when j is divided by 14. 6 Let y = -101 + 31. Let r = y - -114. Suppose 0 = -4*k - 3*l + 641, -2*l + 120 + r = k. Calculate the remainder when k is divided by 40. 38 Suppose -3*z - 5*h = -6, -4*z + 4*h + 26 = -2*z. Let x(w) = w**2 - 4*w + 5. Let p(f) = 51*f - 383. Calculate the remainder when p(9) is divided by x(z). 24 What is the remainder when 134 is divided by 92/(((-16)/24)/((-1)/3))? 42 Let n(z) = -785*z - 7053. Calculate the remainder when (-2)/9 - 182/(-9) is divided by n(-9). 8 What is the remainder when 86 is divided by (-1)/((-4)/(-66)*(-18)/36)? 20 Let t(w) = -w**2 + 3*w + 12. Suppose 6*c - 5*n - 20 = c, 2*c + 4*n = -10. Let u be 15*(-4)/(-12)*c. What is the remainder when t(u) is divided by 2? 0 Let k be 3 - 3 - (3 + -15). Let r(z) = -z**3 + 12*z**2 + z - 7. Calculate the remainder when 14 is divided by r(k). 4 Suppose 5*a - 74 - 31 = 0. Let f = a + -14. Calculate the remainder when 372/14 - (-7 + 230/35) is divided by f. 6 Suppose 11*z + 136 = 708. What is the remainder when 256 is divided by z? 48 Let m(y) = -y**3 + 3*y**2 + 6*y + 7. Let b be m(5). Let x = 21 + b. What is the remainder when x is divided by (-33)/(-7) + (-8)/(-28)? 3 Suppose -v - 3*c = -61, -5*v + 292 = -c + 3*c. Suppose 0 = 5*m + 57 + 38. Let o = m - -34. Calculate the remainder when v is divided by o. 13 Let c = 623 + -339. Calculate the remainder when c is divided by 89. 17 Let a(u) = -u**3 - 5*u**2 + 8*u. Let w be a(-6). Let f(o) = -3*o**3 + 2 - 13*o + 4*o**3 + 11*o**2 - 3. Calculate the remainder when 32 is divided by f(w). 10 Let c be -9 - 122 - (0 - -2). Let f = c - -204. Suppose -9*h + 6*h + 54 = 0. What is the remainder when f is divided by h? 17 Let s = 137 + -51. Calculate the remainder when s is divided by 20. 6 Suppose -5*c = -2*c - 21. Let o(l) = -l**3 - 8*l**2 + 7*l + 59. Calculate the remainder when c is divided by o(-8). 1 Let w = 1434 - 1401. Calculate the remainder when 121 is divided by w. 22 Suppose 0 = -6*n + 403 - 61. What is the remainder when 512 is divided by n? 56 Let v(z) = z**2 + 6. Suppose 12 = u - 0*u. Suppose u*q - 15*q = -66. What is the remainder when v(9) is divided by q? 21 Let j(b) = -b + 8. Suppose 1 = 3*l + 4. Let x be (-5 - l)*20/(-16). Calculate the remainder when 11 is divided by j(x). 2 Let o = -132 - -146. Suppose 1 = y - 39. Calculate the remainder when y is divided by o. 12 Let v(q) = -44*q + 2. Suppose 10 = 5*p - 0. Calculate the remainder when v(-1) is divided by p/(3/(-102)*-4). 12 Suppose -l + 423 = 2*l. Calculate the remainder when -1*5/((-15)/l) is divided by 12. 11 Suppose 6*v = 2*x + v - 173, 5*v + 470 = 5*x. What is the remainder when x is divided by 6? 3 Let a(f) = -f**2 + f - 1. Let h be a(2). Let s(q) = q**2 - 42*q - 833. Calculate the remainder when 6/(-5)*160/h is divided by s(-15). 20 Let n = 123 - 107. Suppose 31 - n = 3*f. Calculate the remainder when (-1)/3 - (-110)/6 is divided by f. 3 Suppose 3*u + 3*w - 7 = 5, -4*u + 19 = w. Let h(n) be the first derivative of 2*n**3/3 - 2*n**2 - 12*n - 30. Calculate the remainder when h(-3) is divided by u. 3 Let r(n) = n - 8. Let l be r(12). Suppose -20 = -l*m, 4*g + m - 183 = 2*g. What is the remainder when g is divided by 13? 11 Let z(f) = -f**2 - 4*f + 3. Let x be z(-4). Suppose -3*p + 96 = -3*m, m + x = -0*m. Calculate the remainder when p is divided by (-1 - 2)/(-6) - 696/(-48). 14 Suppose 207 = 9*p - 0*p. Calculate the remainder when p is divided by 9. 5 Calculate the remainder when (-15)/45*(1 - 7) + 113 is divided by 9. 7 Let p be ((-21)/(-9))/(2/(-6)). Let r(t) = -t**3 - 5*t**2 + 10*t + 11. Calculate the remainder when r(p) is divided by 15. 9 Let k = 0 - 8. Let b(x) = -x**3 - 7*x**2 - 7*x - 7. Suppose -122 = -5*i + 2*j + 27, -i = -5*j - 39. Calculate the remainder when b(k) is divided by i. 26 Let r = 775 - 573. Calculate the remainder when 405 is divided by r. 1 Let d(n) = 0*n**2 + 11 - 9*n - 13 - 3*n**2. Let q(f) = 7*f**2 + 18*f + 4. Let w(m) = 5*d(m) + 2*q(m). What is the remainder when w(-8) is divided by 5? 1 Let p = 8 + -7. Let y = p - -1. Suppose 4*j = -3*d + 10, 0 = 5*j - 3*d + 1. What is the remainder when y is divided by j? 0 Let v = -367 + 402. Calculate the remainder when 170 is divided by v. 30 Let h be 27/15 + 6/30. Suppose 0*f + h*f - 100 = 0. Let s = -34 + f. What is the remainder when 61 is divided by s? 13
{ "pile_set_name": "DM Mathematics" }
173/42 and 34/1267. 7602 Find the common denominator of -71/162558 and 37/162558. 162558 Calculate the common denominator of -19/36 and 21/33352. 300168 Find the common denominator of 29/6 and 81/7366. 22098 What is the lowest common multiple of 3804 and 786? 498324 What is the lowest common multiple of 32620 and 1078? 2511740 Calculate the common denominator of 3/251944 and -119/53988. 755832 What is the common denominator of 137/120 and -85/12528? 62640 What is the lowest common multiple of 4 and 291968? 291968 What is the least common multiple of 39566 and 292? 79132 Calculate the common denominator of 85/36 and 167/4320. 4320 Calculate the common denominator of 79/33900 and 41/516975. 2067900 What is the smallest common multiple of 10 and 9486? 47430 What is the smallest common multiple of 132 and 234? 5148 What is the least common multiple of 108 and 25908? 233172 Calculate the least common multiple of 654 and 87636. 87636 What is the common denominator of -68/605397 and 77/745104? 9686352 Calculate the common denominator of -111/182 and 221/42420. 551460 Calculate the common denominator of 16/145 and -62/45095. 45095 What is the least common multiple of 8559 and 33? 94149 Calculate the least common multiple of 2832 and 4602. 36816 Calculate the smallest common multiple of 48 and 100336. 301008 Calculate the least common multiple of 24 and 268864. 806592 Calculate the least common multiple of 2000 and 7750. 62000 Find the common denominator of 35/137392 and -61/22160. 686960 Calculate the common denominator of -25/3 and 22/160855. 482565 Calculate the lowest common multiple of 67251 and 2319. 67251 What is the least common multiple of 12192 and 88? 134112 Find the common denominator of -86/21 and 83/149079. 149079 Find the common denominator of 77/24110 and 53/16877. 168770 Calculate the common denominator of -27/980 and 107/1470. 2940 Calculate the least common multiple of 124872 and 238392. 2622312 Calculate the common denominator of 69/6496 and 17/56. 6496 Find the common denominator of -65/98 and -61/119616. 837312 What is the lowest common multiple of 18564 and 92820? 92820 Find the common denominator of -65/404 and -113/4040. 4040 What is the smallest common multiple of 11084 and 204? 33252 What is the common denominator of -49/83305 and -5/549813? 2749065 Calculate the common denominator of -43/186048 and -125/12. 186048 Calculate the common denominator of 101/6052 and 107/748. 66572 Calculate the common denominator of 127/6984 and 71/80. 69840 Calculate the least common multiple of 62208 and 160. 311040 What is the common denominator of -109/18 and 89/1284? 3852 Find the common denominator of -44/14991 and 51/24985. 74955 Calculate the least common multiple of 38500 and 170500. 1193500 Find the common denominator of 95/734528 and 71/368. 734528 Calculate the common denominator of 143/24 and -49/16638. 66552 Find the common denominator of -49/180 and -8/55305. 221220 Calculate the common denominator of -41/162 and -95/575406. 5178654 What is the common denominator of 13/3270 and -97/21582? 107910 Calculate the common denominator of 45/677 and -13/146. 98842 What is the smallest common multiple of 1944470 and 883850? 9722350 Calculate the least common multiple of 6208 and 5824. 564928 What is the least common multiple of 66672 and 29632? 266688 Calculate the least common multiple of 432 and 3474. 83376 What is the lowest common multiple of 1970 and 10638? 53190 What is the smallest common multiple of 128556 and 107130? 642780 Calculate the lowest common multiple of 8 and 123568. 123568 Calculate the smallest common multiple of 528 and 3504. 38544 Calculate the common denominator of -97/139148 and -7/208722. 417444 What is the least common multiple of 105788 and 44? 1163668 Calculate the lowest common multiple of 10260 and 12996. 194940 Find the common denominator of -47/64 and 85/23022. 736704 What is the common denominator of -51/232 and -131/7752? 224808 Find the common denominator of 37/110 and -61/4500. 49500 Find the common denominator of -7/342 and 125/354312. 354312 What is the lowest common multiple of 15039 and 243? 135351 Find the common denominator of -111/48796 and -39/70976. 780736 Calculate the least common multiple of 66096 and 72. 66096 What is the common denominator of -163/546 and 59/6576? 598416 What is the least common multiple of 212 and 4176? 221328 Find the common denominator of -63/71944 and -33/272. 143888 What is the common denominator of -11/8996 and -73/68? 152932 What is the least common multiple of 46852 and 442? 46852 Calculate the lowest common multiple of 1088 and 608. 20672 Calculate the smallest common multiple of 10 and 1716392. 8581960 What is the common denominator of 7/16164 and 23/1796? 16164 Calculate the lowest common multiple of 2009 and 672. 192864 What is the common denominator of -7/24 and -29/614832? 614832 What is the common denominator of -29/14 and -33/221198? 1548386 What is the lowest common multiple of 218908 and 492543? 1970172 Find the common denominator of -91/16 and 19/1945622. 15564976 Find the common denominator of -217/8580 and 161/143286. 1432860 Calculate the smallest common multiple of 193828 and 6. 581484 Calculate the common denominator of -61/6200 and 21/410. 254200 What is the smallest common multiple of 143 and 44330? 44330 Calculate the smallest common multiple of 47670 and 23835. 47670 What is the least common multiple of 38 and 5548? 5548 Calculate the smallest common multiple of 35325 and 6. 70650 Find the common denominator of -149/780 and -79/2040. 26520 What is the smallest common multiple of 313999 and 14? 627998 Find the common denominator of 71/28874 and 7/8. 115496 Calculate the common denominator of -69/141515 and 21/3751. 1556665 Calculate the common denominator of -109/44 and -43/6688. 6688 What is the common denominator of 137/246 and -21/1070? 131610 Calculate the common denominator of 115/413748 and -63/22. 4551228 Find the common denominator of 17/10 and -33/13370. 13370 Find the common denominator of -43/744 and 23/19220. 115320 Calculate the lowest common multiple of 303880 and 8. 303880 Calculate the lowest common multiple of 90 and 435. 2610 Calculate the common denominator of 49/7576 and -113/17046. 68184 What is the lowest common multiple of 134860 and 61300? 674300 What is the common denominator of 109/39004 and -65/78008? 78008 Calculate the smallest common multiple of 20694 and 8. 82776 Calculate the common denominator of 52/11 and -143/22434. 246774 Find the common denominator of -53/51422 and -67/20. 514220 What is the lowest common multiple of 9296 and 8? 9296 Calculate the least common multiple of 9510 and 50. 47550 What is the least common multiple of 9276 and 30920? 92760 Find the common denominator of -13/22192 and 53/9234. 5392656 Calculate the lowest common multiple of 112116 and 32.
{ "pile_set_name": "DM Mathematics" }
h + 48. Give k(-4). -52 Let r(i) = -678*i - 16221. What is r(-24)? 51 Let k(x) = -x**2 + 150*x + 2652. Determine k(-16). -4 Let p(g) = g**3 + 40*g**2 + 233*g + 68. What is p(-33)? 2 Let p(z) = 47*z + 166. Calculate p(-6). -116 Let z(a) = -a**2 - 19*a - 24. Calculate z(-11). 64 Let j(z) = -2*z**2 + 65*z + 323. Calculate j(37). -10 Let r(u) = -u**3 + 24*u**2 - 36*u + 27. Give r(24). -837 Let f(v) = v**3 - v**2 - 4*v + 13. Determine f(0). 13 Let f(o) = 81*o + 775. What is f(-10)? -35 Let h(o) = -29*o**2 + 40*o + 82. Give h(-2). -114 Let g(t) = 91*t + 192. Calculate g(-8). -536 Let m(g) = -2*g**3 + 12*g**2 + 33*g - 111. Give m(7). 22 Let v(w) = -w**3 - 10*w**2 - 7*w + 28. Give v(-4). -40 Let o(q) = -739*q + 14. Give o(0). 14 Let x(s) = 4*s**3 + 9*s**2 - 14*s - 54. Determine x(-4). -110 Let a(t) = -62*t - 3075. Calculate a(-50). 25 Let n(g) = 16*g**3 - 1088*g**2 - g + 69. Determine n(68). 1 Let w(a) = -a**3 - 2*a**2 + 18*a - 17. Determine w(6). -197 Let j(y) = 74*y - 646. Determine j(8). -54 Let a(w) = -8513*w + 272420. Determine a(32). 4 Let a(s) = -s**3 + 6*s**2 - 11*s + 17. Calculate a(7). -109 Let o(u) = -2*u**2 + 52*u - 58. Calculate o(23). 80 Let t(c) = 12*c**2 - 765*c + 3055. Give t(4). 187 Let a(r) = -r**2 + 131*r - 1850. Determine a(16). -10 Let z(q) = 20*q - 121. Give z(9). 59 Let x(v) = 124*v + 1514. Give x(-12). 26 Let f(k) = 7*k**3 - 2*k**2 - 39*k - 113. Give f(-3). -203 Let u(n) = n**2 + 106*n + 511. Give u(-101). 6 Let i(n) = -91*n**3 + 6641*n**2 + 149*n - 221. Give i(73). -2 Let f(d) = d**3 - 24*d**2 + 44*d + 37. Determine f(22). 37 Let h(u) = 1638*u + 4955. What is h(-3)? 41 Let q(k) = 3*k**2 + 389*k - 1318. Give q(-133). 12 Let u(t) = 160*t + 8. Give u(1). 168 Let l(b) = 2338*b + 16401. Determine l(-7). 35 Let i(o) = o + 39. Calculate i(-23). 16 Let o(q) = -3*q**3 - 8*q**2 - 4*q + 1. Calculate o(-3). 22 Let f(j) = 104*j + 621. Calculate f(-6). -3 Let t(l) = 71*l - 29. Calculate t(1). 42 Let p(n) = n**3 + 12*n**2 - 61*n + 146. Calculate p(-16). 98 Let n(x) = -x**3 - 8*x**2 - 2*x - 21. Calculate n(-8). -5 Let k(x) = -4*x**3 + 2*x**2 + 8*x - 7. Determine k(3). -73 Let b(u) = 4*u**2 - 31*u - 190. What is b(12)? 14 Let n(t) = 771*t + 2811. Give n(-3). 498 Let o(z) = 12*z**3 + z**2 - 46*z + 81. What is o(2)? 89 Let n(u) = -2*u**3 + 37*u**2 - 101*u - 4. Give n(4). 56 Let i(d) = 6398*d + 44793. Determine i(-7). 7 Let s(u) = -49*u - 239. Give s(-6). 55 Let f(k) = -4*k**2 - 119*k - 43. What is f(-30)? -73 Let u(n) = -292*n + 2922. Give u(10). 2 Let x(i) = 134*i - 877. Calculate x(9). 329 Let r(p) = p**2 - 8720*p + 60990. Calculate r(7). -1 Let d(v) = 15*v - 265. What is d(18)? 5 Let s(l) = 2*l**2 - 22*l + 36. Give s(2). 0 Let w(z) = 63*z**2 - 698*z + 697. Determine w(1). 62 Let x(i) = -i**3 + 125*i**2 + 124*i + 236. What is x(126)? -16 Let h(v) = 52*v**2 - 213*v - 19. Calculate h(4). -39 Let c(o) = -19*o + 304. Give c(20). -76 Let s(c) = -4740*c + 94800. Determine s(20). 0 Let r(l) = -302*l**3 + l**2 + 3*l - 4. Calculate r(1). -302 Let x(m) = -120*m - 1155. Give x(-9). -75 Let i(c) = c**2 + 849*c - 9380. Calculate i(11). 80 Let f(a) = a**3 - 7*a**2 + 28*a - 8. What is f(5)? 82 Let f(b) = -4*b - 8. Calculate f(-4). 8 Let g(a) = 2*a + 70. Determine g(-37). -4 Let v(w) = -38*w - 290. Calculate v(-9). 52 Let o(d) = -3*d**2 - 178*d - 2646. Give o(-31). -11 Let t(j) = j**3 - 47*j**2 - 55*j + 275. Calculate t(48). -61 Let l(s) = -2*s**3 + 13*s**2 + 57*s - 355. Give l(7). -5 Let m(h) = 319*h + 1910. What is m(-6)? -4 Let r(p) = p**2 - 64*p + 178. Give r(3). -5 Let d(i) = -24*i - 1790. Determine d(-74). -14 Let l(t) = -13*t**2 + 187*t - 179. Give l(1). -5 Let w(n) = -3330*n - 10. Calculate w(0). -10 Let z(i) = 810*i + 7917. Give z(-10). -183 Let m(f) = -10*f**2 - 49*f + 154. Give m(2). 16 Let z(n) = 201*n + 8. Determine z(0). 8 Let x(n) = 19*n - 68. Give x(7). 65 Let m(b) = -b**3 + 117*b**2 + 357*b + 370.
{ "pile_set_name": "DM Mathematics" }
n 848094 + n - 848094. n Collect the terms in u**2 - u**2 - u**2 - u**2. -2*u**2 Collect the terms in i + 19*i - 3*i - 10*i. 7*i Collect the terms in -4*g - 16*g**3 + 0*g + 4*g. -16*g**3 Collect the terms in u + 692 - 692. u Collect the terms in 12*l**2 + 1177*l - 1177*l. 12*l**2 Collect the terms in 0 + 0 + 26*t - 30*t. -4*t Collect the terms in 0*r**2 + 12*r**2 - 9*r**2. 3*r**2 Collect the terms in -37*t**2 - 32*t**2 + 103*t**2 - 2. 34*t**2 - 2 Collect the terms in 32*u**3 - 7*u**3 + u**3. 26*u**3 Collect the terms in 108*j - 249*j - 182*j. -323*j Collect the terms in 41*p**3 + 12*p**3 - 57*p**3. -4*p**3 Collect the terms in 2*g**2 - 6*g + 3*g + 0*g**2. 2*g**2 - 3*g Collect the terms in 32 - 3*h**3 + 54 - 86. -3*h**3 Collect the terms in -5*b**2 + 3*b**2 - 27*b + 27*b. -2*b**2 Collect the terms in 40*o - 14*o - 32*o. -6*o Collect the terms in -18*q - 497*q + 31*q. -484*q Collect the terms in -8*u**2 - 90*u**2 + 1 - 1. -98*u**2 Collect the terms in -17*p**2 - 18*p**2 + 35*p**2 - 9*p**2. -9*p**2 Collect the terms in -181*b**2 - 173*b**2 + 356*b**2. 2*b**2 Collect the terms in 248*l**2 - 128*l**2 - 125*l**2. -5*l**2 Collect the terms in -88*w**3 - 87*w**3 - 80*w**3 - 3*w**2 + 244*w**3. -11*w**3 - 3*w**2 Collect the terms in -5*r**2 - 2*r**2 + r**2. -6*r**2 Collect the terms in -1 + 20*v**2 + 1 - 24*v**2. -4*v**2 Collect the terms in 45*l**3 - 46*l**3 + 5*l**2 - 5*l**2. -l**3 Collect the terms in 4*h + 132717 - 132717. 4*h Collect the terms in 1 - 12*o**2 - 5 + 4. -12*o**2 Collect the terms in -6*f + 6 + 4 + 1 + 3*f. -3*f + 11 Collect the terms in 3 - 4*b + 0*b - 3 + 2*b. -2*b Collect the terms in -2*x - 175 - 177 + 352. -2*x Collect the terms in 2*l + 11*l**3 - 22*l**3 - 2*l. -11*l**3 Collect the terms in -7298*f + 14592*f - 7301*f. -7*f Collect the terms in -63*j - 56*j + 119*j - 2*j**3. -2*j**3 Collect the terms in -65*z + 232*z - 83*z - 82*z. 2*z Collect the terms in 10*g**3 - 6*g**3 - 2*g**3 + 7*g**3 + g + 5*g**3. 14*g**3 + g Collect the terms in -35*u + 9*u + 13*u + 26*u. 13*u Collect the terms in -14*m - 18 - 14*m - 13*m + 17. -41*m - 1 Collect the terms in -426864 + 6*h**3 + 426864. 6*h**3 Collect the terms in -20*d + 35*d - 16*d. -d Collect the terms in 7 - 2178*i**3 - 7. -2178*i**3 Collect the terms in o**2 + 2 - 2*o - 2. o**2 - 2*o Collect the terms in 14 + 2*p**2 + 11 - 25. 2*p**2 Collect the terms in 11*h**2 + 10*h**2 + 2 - 23*h**2 - 2. -2*h**2 Collect the terms in -5*s**2 + s - 6*s + 14*s**2 + 3*s. 9*s**2 - 2*s Collect the terms in -5*o - 24*o**2 + 2*o + 4*o. -24*o**2 + o Collect the terms in -741*y + 12 - 12. -741*y Collect the terms in -301*u**3 + 75*u**3 + 77*u**3 + 74*u**3 + 77*u**3. 2*u**3 Collect the terms in -26*j**3 + 7*j - 7*j. -26*j**3 Collect the terms in 446 - 446 + 2*z. 2*z Collect the terms in 19*z**3 + 16*z**3 - 8*z**3. 27*z**3 Collect the terms in 168*m**2 - 94*m**2 - 74*m**2 - 6*m**3. -6*m**3 Collect the terms in -5*m**3 + m**3 + 3*m**3. -m**3 Collect the terms in -280*w**2 + 566*w**2 - 283*w**2. 3*w**2 Collect the terms in -6*f**3 + 3*f**3 - 4*f**2 + 5*f**2. -3*f**3 + f**2 Collect the terms in 3*d - 5*d - 6*d. -8*d Collect the terms in 1172*t**3 - 2704*t**3 - 2413*t**3. -3945*t**3 Collect the terms in 110*y**2 + 131*y**2 - 243*y**2. -2*y**2 Collect the terms in 8*w + 17*w + 3*w - 7*w + 5*w. 26*w Collect the terms in 159*p**3 - 77*p**3 - 76*p**3. 6*p**3 Collect the terms in 2210*j + 2207*j - 6623*j + 2207*j. j Collect the terms in -m - 6*m + 12*m - 6*m. -m Collect the terms in 11*x**3 - 4*x**3 + 12*x**3. 19*x**3 Collect the terms in 48 - 77 - j - j. -2*j - 29 Collect the terms in 4*c + 5 - 5. 4*c Collect the terms in -4*n + 7 - 7. -4*n Collect the terms in 15*i**2 - 22 + 29 + 2*i**2. 17*i**2 + 7 Collect the terms in 98*l**2 + 4*l - 4*l. 98*l**2 Collect the terms in -6*l**2 - l - 40*l + 5*l + 36*l. -6*l**2 Collect the terms in 70*q - 29 - 24*q**3 - 70*q. -24*q**3 - 29 Collect the terms in 297*s - 569*s + 289*s. 17*s Collect the terms in 4*x**2 - 7*x**2 + 2*x**2 + 6*x**2. 5*x**2 Collect the terms in 60*d**2 + 2 - 5 + 3. 60*d**2 Collect the terms in 20*k**3 - 9*k**3 - 6*k**3 + 3*k**2. 5*k**3 + 3*k**2
{ "pile_set_name": "DM Mathematics" }
hat is 37.74021 times -18? -679.32378 229.979 * -1391 -319900.789 What is the product of 6428099 and 0.47? 3021206.53 Calculate -27343*-0.296. 8093.528 Work out 11607.8 * 121. 1404543.8 Calculate 5.79809*2.7. 15.654843 Product of 82.46 and 7.68. 633.2928 Multiply 265 and 8223.21. 2179150.65 Work out 2041.99 * -3164. -6460856.36 Multiply -1.7 and 411695. -699881.5 Product of 0.01 and -2933.821. -29.33821 -0.2 * 386112110 -77222422 Calculate -6*-0.013443. 0.080658 -619*312.768 -193603.392 102.5*-10112 -1036480 Multiply -1371 and -1.8465. 2531.5515 63559*1899 120698541 Product of 0.27 and -882698. -238328.46 -0.5*31.152279 -15.5761395 674 times 6089 4103986 Multiply 0.1558 and -145818. -22718.4444 0.00009042*0.1 0.000009042 -6.366 * -105247 670002.402 Multiply 8.251 and 8.638. 71.272138 159.64 * 44 7024.16 0.5 * 26703740 13351870 What is the product of -2 and -61.96299? 123.92598 -0.298 * 1149.4 -342.5212 What is the product of -1484 and 47899? -71082116 What is the product of -21 and 1588213? -33352473 3 times 14419326 43257978 Product of 3 and -1507831. -4523493 What is 305050 times 24? 7321200 Calculate -97486*-0.2539. 24751.6954 What is the product of 1166 and -25.81? -30094.46 Multiply -3278 and -734.6. 2408018.8 Product of -822215 and -1. 822215 -3123.5843 times 0.4 -1249.43372 -0.014008 * 1.17 -0.01638936 -5*-121894853 609474265 2.57777066 * -0.2 -0.515554132 Calculate 3495*81959. 286446705 -105 times 27106 -2846130 14 * 553.107 7743.498 -1341538 * 21 -28172298 Multiply -2627.4 and -5.36. 14082.864 34.38*134275 4616374.5 Work out 9.4 * -4715. -44321 What is 886 times 3686? 3265796 Product of -0.7 and -0.25759411. 0.180315877 -0.5*48809.675 -24404.8375 Product of 0.0838807 and 0.23. 0.019292561 Calculate -2167509482*-0.2. 433501896.4 What is -0.6 times -16853.52? 10112.112 Multiply -4 and -5115723. 20462892 Product of -44991751 and 35. -1574711285 53699 * -111 -5960589 What is 35318208 times -0.1? -3531820.8 Product of -1.8241 and 31229. -56964.8189 What is the product of 4 and 9.53414? 38.13656 113824 times 14 1593536 Multiply 0.0811 and -16420. -1331.662 What is the product of 0.0735406 and 1? 0.0735406 Work out 58.08 * 1.59. 92.3472 Multiply 125437 and 72. 9031464 Calculate -0.127*63210.31. -8027.70937 What is 0.01958054 times 0.25? 0.004895135 Calculate -1845.45*-50. 92272.5 Calculate -22756*-315. 7168140 1.9672*-69 -135.7368 0.2 times -165942636 -33188527.2 Calculate -14461*-4761. 68848821 Multiply -988056.6 and 0.6. -592833.96 -1670.32 times 1.27 -2121.3064 Product of -0.6 and -15631134. 9378680.4 -0.84169259 times 0.3 -0.252507777 Work out -15084833 * 0.3. -4525449.9 What is -0.4564 times 0.18759? -0.085616076 What is the product of -0.226772 and 18? -4.081896 -7376950 * -1 7376950 Multiply 0.25768 and -605. -155.8964 What is 201.58 times 764? 154007.12 -10.41*4722 -49156.02 Product of 0.2 and 1344802. 268960.4 Multiply 0.0437 and 881590. 38525.483 -859134.3 times 23 -19760088.9 Product of -3 and -596100.53. 1788301.59 Calculate 392*16331. 6401752 What is -0.3163 times 401488? -126990.6544 Product of 6 and 269296.8. 1615780.8 -4 times 0.29918264 -1.19673056 Product of 87759121 and -0.5. -43879560.5 Work out 276 * 8.55. 2359.8 Work out -1 * 1624837. -1624837 Calculate -1*0.07339679. -0.07339679 -0.05 times -2998735 149936.75 Calculate -79*-4423666. 349469614 Calculate 31*-2893.685. -89704.235 -0.039*108939 -4248.621 Multiply -2048585 and -0.1. 204858.5 Calculate -0.082*-1170378. 95970.996 What is the product of 5842141 and -5? -29210705 Calculate 8260*83.4. 688884 6657328 * 0.06 399439.68 93714 times 8 749712 Calculate -0.52346955*5. -2.61734775 What is the product of 181803 and 954? 173440062 -0.2 * 1700.45828 -340.091656 Multiply 565 and -1.733. -979.145 Multiply -14780166 and -18. 266042988 Calculate -127.1*298011. -37877198.1 Work out -0.56 * 45. -25.2 Multiply 1754620 and -0.09. -157915.8 -138.7677 * -0.093 12.9053961 -74320792*0.3 -22296237.6 What is the product of 10367 and -2.36? -24466.12 Multiply 1142546 and 2. 2285092 Work out 711716 * 2. 1423432 What is the product of -251 and 40634? -10199134 4.7605 * 1112 5293.676 Work out -2268 * -11463. 25998084 Work out -3 * 17765.673. -53297.019 Multiply 6.6 and -0.0196404. -0.12962664 Calculate 44485.5*-19. -845224.5 Work out 41 * -42203. -1730323 Product of -4 and -3316344. 13265376 Product of 273332 and -0.0308. -
{ "pile_set_name": "DM Mathematics" }
- 363. Calculate o(t(r)). 81*r**2 - 9801 Let f(j) = 1702*j**2. Let o(w) = 284*w. What is o(f(p))? 483368*p**2 Let k(d) = 10*d + 12. Let b(l) = 8*l + 10. Let x(j) = 6*b(j) - 5*k(j). Let g(n) = 882*n. What is g(x(i))? -1764*i Let t(k) = -2*k**2 + 4*k. Let l(z) = -14*z. Let q(a) = -7*a - 4*a + 12*a. Let o(y) = -l(y) - 12*q(y). Give t(o(h)). -8*h**2 + 8*h Let p = 16 - 22. Let k = 8 + p. Let d(r) = 2*r**k + 2*r**2 - 2*r**2. Let q(v) = 7*v**2. Give d(q(g)). 98*g**4 Let i = -13 + 40. Let p(n) = 10*n**2 + i - 5*n**2 - 27. Let s(d) = 3*d. Determine s(p(y)). 15*y**2 Let l = 5 + -3. Suppose 0 = -q + l, -3*q + 15 = 3*v + 3. Let m(j) = 0*j**2 + 0*j**v - 3*j**2. Let s(c) = 3*c**2. Determine m(s(b)). -27*b**4 Suppose 9*b = b + 1208. Let d(x) = -5*x + b - 151. Let n(y) = -3*y**2. Calculate n(d(k)). -75*k**2 Let v(c) = c. Let l(w) = -2735*w - 9. Calculate v(l(r)). -2735*r - 9 Let q(w) = -3*w. Let k(y) = 358*y**2 + 46. Determine q(k(f)). -1074*f**2 - 138 Let j(t) be the second derivative of 11*t**5/60 + 2*t**2 - 7*t. Let s(c) be the first derivative of j(c). Let r(m) = 2*m. What is r(s(o))? 22*o**2 Let i(j) = 10*j**2. Let n(u) = u**3 - 13*u**2 + 14*u - 7. Let k be n(12). Let s = 20 - k. Let c(r) = 4*r + 0*r + r - s*r. Calculate i(c(h)). 40*h**2 Let t(i) = -i**2. Let f(j) = -j**2. Let p(x) = 3*f(x) - 4*t(x). Let z(r) be the first derivative of 39*r**2/2 - 3749. What is p(z(y))? 1521*y**2 Let m(q) = -q**2. Let z(l) = -l**2 - 1. Let p(s) = 3*s**2 - 3. Let x = -63 - -62. Let i(w) = -2*w - 1. Let r be i(-2). Let o(v) = r*z(v) + x*p(v). Give o(m(d)). -6*d**4 Suppose 3*d - 2*s = 12, 12 = 2*d + d + 4*s. Let q(v) = -132*v - 77. Let r(x) = 7*x + 4. Let u(b) = d*q(b) + 77*r(b). Let z(w) = 4*w**2. Determine z(u(j)). 484*j**2 Let b(i) be the second derivative of -i**4/12 + 905*i. Let p(k) = -1413*k**2. Give p(b(q)). -1413*q**4 Let j(r) = -2522*r. Let a(d) = 8*d. Give a(j(g)). -20176*g Let h = 81 - 79. Let w(r) = 7*r**h - 10*r**2 + 5*r**2. Let u(y) = -y**2 - 38. Calculate u(w(b)). -4*b**4 - 38 Let b(l) = -7*l**2 + 279 - 279 - 13*l**2. Let j(y) = 2*y. Give b(j(c)). -80*c**2 Let w(c) = -234445*c**2. Let r(t) = -2*t. Give w(r(a)). -937780*a**2 Let d(b) = 3*b - 75. Let y(n) = 9*n**2. Give d(y(k)). 27*k**2 - 75 Let c(h) = 47*h + 7. Let m(s) = -20*s - 3. Let j(o) = -3*c(o) - 7*m(o). Let i(b) be the third derivative of -b**5/20 + 13*b**4/24 - 5*b**2. Give j(i(k)). 3*k**2 - 13*k Let d(z) = -2*z + 58. Let m(r) = r**2 - 125. Calculate d(m(p)). -2*p**2 + 308 Let r(i) = -7*i. Let k(u) = -114*u + 317*u - 115*u - 110*u. Give k(r(h)). 154*h Let m(n) be the third derivative of 0*n**3 + 0 - 13/24*n**4 + 0*n + 39*n**2. Let j(x) = -6*x. Calculate m(j(h)). 78*h Let y(u) = 2*u. Let s(f) = 65207*f - 1. Determine s(y(t)). 130414*t - 1 Let t(x) = -67713*x. Let v(h) = -h**2. Determine t(v(k)). 67713*k**2 Let m(q) = 9287*q**2 - 4*q. Let n(p) = 2*p. What is m(n(i))? 37148*i**2 - 8*i Let g(f) = -2*f + f + f + 5*f. Let b(a) = 7*a + 84. Let m(r) = 15*r + 182. Let x(y) = -13*b(y) + 6*m(y). What is g(x(j))? -5*j Let d(g) = -3*g**2. Let r(w) = -10*w + 2580. Calculate r(d(b)). 30*b**2 + 2580 Let l(m) = -m + 6*m - 4*m. Let c = 22 + -20. Let o(t) = -2*t**2 - 3*t**c + 6*t**2 + t**2. Determine o(l(u)). 2*u**2 Let d(l) = -l. Let n(g) = 66*g - 2. Let s(j) = 4*j. Let a(b) = -n(b) + 4*s(b). Determine a(d(q)). 50*q + 2 Let x be (-1)/((0 - 21/(-11)) + -2). Let b(p) = 19 + 12 - x*p - 27. Let r(j) = j**2. Give r(b(l)). 121*l**2 - 88*l + 16 Let v(l) = 47*l**2. Let p(b) be the first derivative of -b**2/2 + 22. What is v(p(y))? 47*y**2 Let f(w) = 9*w. Let y(u) be the second derivative of 5*u**3/3 - u - 2. Determine f(y(g)). 90*g Let k(j) = 31*j - 2. Let a(m) = -1838*m. Determine a(k(h)). -
{ "pile_set_name": "DM Mathematics" }
nd 819? 63 Calculate the highest common factor of 67517 and 141347. 107 Calculate the highest common factor of 138914 and 34. 2 What is the greatest common factor of 6377 and 29152? 911 Calculate the highest common divisor of 4615 and 49244. 13 Calculate the highest common factor of 7856 and 9997424. 16 What is the greatest common factor of 15947406 and 90? 18 What is the highest common divisor of 7395 and 375855805? 2465 Calculate the highest common factor of 2198560 and 182728. 728 Calculate the greatest common divisor of 807 and 111993308. 269 Calculate the greatest common divisor of 736115 and 724178. 3979 Calculate the greatest common divisor of 24586 and 186542. 38 What is the greatest common divisor of 64 and 8794856? 8 Calculate the highest common factor of 165 and 10752800. 5 What is the greatest common divisor of 388290 and 36959790? 9030 What is the greatest common divisor of 13019660 and 355? 5 What is the greatest common factor of 24969130 and 7930? 610 Calculate the highest common factor of 777267 and 3015. 603 Calculate the greatest common factor of 381095 and 6002810. 2255 What is the highest common factor of 10976 and 72096? 32 What is the greatest common factor of 238446 and 231894? 234 What is the greatest common divisor of 1518411 and 82679? 29 Calculate the greatest common factor of 60 and 4565620. 20 Calculate the greatest common factor of 33481485 and 135. 135 Calculate the greatest common divisor of 12 and 1957026. 6 What is the greatest common divisor of 22400 and 82048? 128 What is the greatest common divisor of 387873 and 321417? 639 What is the highest common factor of 4245 and 551899525? 1415 Calculate the greatest common divisor of 36403675 and 105. 35 Calculate the greatest common factor of 728166 and 19048266. 4638 What is the highest common factor of 31107 and 53? 1 Calculate the greatest common divisor of 4134438 and 34650. 1386 Calculate the greatest common factor of 386 and 1415960. 2 What is the highest common factor of 1 and 33082583? 1 What is the greatest common divisor of 8134777 and 427? 427 What is the greatest common factor of 1616 and 2140493? 101 Calculate the greatest common divisor of 190414 and 9506. 98 What is the greatest common factor of 111322217 and 1418? 709 Calculate the greatest common factor of 246 and 202944998. 82 What is the highest common factor of 67440 and 5865? 15 What is the highest common divisor of 11658563 and 70? 7 What is the greatest common factor of 123036378 and 4? 2 What is the highest common divisor of 1752586911 and 6282? 3141 Calculate the highest common factor of 93454057 and 1550. 31 Calculate the highest common factor of 795 and 165721407. 159 What is the greatest common divisor of 11154 and 13122? 6 Calculate the highest common factor of 139760 and 4560. 80 What is the highest common divisor of 126 and 8406657? 63 What is the greatest common factor of 11152 and 488720? 656 Calculate the greatest common factor of 11661 and 9356178. 507 What is the greatest common factor of 8050 and 80462050? 1150 Calculate the greatest common factor of 238 and 808930703. 119 Calculate the greatest common factor of 311436330 and 138. 138 Calculate the greatest common factor of 97 and 16438. 1 What is the highest common factor of 8368 and 36545671? 523 Calculate the highest common divisor of 1284 and 31963468. 428 Calculate the greatest common factor of 22322133 and 141. 141 Calculate the highest common factor of 264185809 and 37. 37 Calculate the greatest common factor of 32 and 315380944. 16 What is the highest common divisor of 304 and 2012176? 304 Calculate the highest common divisor of 8988 and 33393416. 2996 What is the highest common divisor of 354 and 9727743? 177 Calculate the greatest common factor of 33533493 and 32333. 1043 Calculate the highest common divisor of 999 and 38068005. 111 What is the greatest common divisor of 5051470 and 12840? 1070 What is the greatest common factor of 135 and 1521540? 45 Calculate the greatest common divisor of 410 and 23947895. 205 What is the greatest common divisor of 6792 and 10449492? 3396 Calculate the greatest common factor of 20683 and 128245. 13 Calculate the highest common factor of 4594 and 848. 2 What is the greatest common factor of 105206 and 9922? 82 Calculate the highest common divisor of 777211 and 1647043. 4027 What is the highest common factor of 72820 and 142661? 331 Calculate the greatest common factor of 29299154 and 610. 122 What is the highest common divisor of 1907103425 and 25? 25 Calculate the highest common divisor of 462676936 and 16. 8 What is the highest common divisor of 1820818 and 138? 46 Calculate the highest common divisor of 50 and 6947090. 10 Calculate the greatest common factor of 481 and 12066847. 481 Calculate the greatest common divisor of 382694 and 858622. 82 What is the greatest common factor of 2678882 and 686? 2 Calculate the greatest common divisor of 7733 and 3235909. 703 What is the highest common divisor of 28 and 28245588? 28 What is the highest common divisor of 70192 and 204156? 428 Calculate the greatest common factor of 11207408 and 976. 976 Calculate the highest common factor of 30900816 and 288. 144 What is the highest common divisor of 7497770 and 23380? 70 Calculate the highest common divisor of 12 and 234714156. 12 What is the highest common divisor of 4579 and 1817647787? 4579 What is the highest common divisor of 52180410 and 390? 30 What is the highest common factor of 436095 and 8547? 33 Calculate the greatest common factor of 5880514 and 2356. 62 What is the highest common factor of 24919320 and 240? 120 Calculate the greatest common divisor of 22223 and 22. 1 Calculate the greatest common factor of 4479098 and 1768. 26 Calculate the greatest common factor of 121817 and 9246110. 1997 Calculate the greatest common factor of 1815 and 187755. 15 What is the highest common factor of 96381633 and 1332? 111 What is the highest common factor of 9217943 and 961534? 2779 Calculate the greatest common divisor of 59530736 and 17168. 464 What is the highest common divisor of 42778 and 19126? 146 What is the greatest common factor of 41688 and 17927577? 1737 Calculate the highest common factor of 736 and 263214760. 184 What is the highest common divisor of 104 and 21013044? 52 What is the greatest common factor of 540751549 and 1846? 923 What is the highest common factor of 19285 and 400463? 133 Calculate the highest common divisor of 260 and 1908100. 20 Calculate the highest common divisor of 168 and 42012744. 24 Calculate the highest common divisor of 12935 and 79105. 65 What is the highest common factor of 82680627 and 155? 31 Calculate the greatest common divisor of 1116 and 10083708. 36 What is the highest common factor of 1961009 and 247? 19 What is the greatest common factor of 2690748 and 30873? 123 Calculate the highest common divisor of 2599 and 9491096. 113 Calculate the highest common divisor of 301 and 73635006. 43 What is the highest common divisor of 874621 and 1541? 23 Calculate the greatest common factor of 371982 and 34086. 1482 Calculate the greatest common divisor of 28753197 and 167442. 1419 Calculate the highest common factor of 6800 and 31225175. 425 Calculate the highest common factor of 2961 and 394236. 423 What is the highest common divisor of 458445180 and 11754? 3918 Calculate the highest common divisor of 1897 and 106251241. 271 Calculate the greatest common divisor of 172 and 31647269. 43 Calculate the greatest common factor of 867 and 199531176. 51 Calculate the highest common factor of 74224 and 104. 8 What is the highest common factor
{ "pile_set_name": "DM Mathematics" }
value? (a) 4 (b) -3/23 (c) -1171 (d) -2/15 c Which is the smallest value? (a) -2 (b) -2/13 (c) 4 (d) 102/11 (e) -0.4 (f) -14/31 a Which is the biggest value? (a) 1/2 (b) 0.2 (c) 51.029 c Which is the fourth smallest value? (a) 0.079 (b) -11/3 (c) 0.4 (d) 4/9 (e) 0.1 c Which is the biggest value? (a) -2/3 (b) 35 (c) -3/2 (d) 22559 d Which is the fourth smallest value? (a) -15 (b) -1/4 (c) 1/262 (d) -5 c What is the fourth biggest value in -1/4, 175, 0.2, 0.5, -1/6, -0.08? -0.08 Which is the second biggest value? (a) 22296 (b) -22 (c) 1/2 c Which is the sixth biggest value? (a) 4 (b) -0.1 (c) 0.02 (d) 38 (e) -3 (f) 0.21 e What is the second biggest value in -0.071366, -0.2, 17? -0.071366 Which is the third biggest value? (a) -4 (b) -2/19 (c) -0.7 (d) -2/15 (e) 17/2 d What is the fourth biggest value in -1/5, -60, 3/23, 0.3, 1/3, -0.9? -1/5 What is the third biggest value in 3, -77.13, -5? -77.13 What is the third biggest value in 0, 4, 0.5, 3/10, -0.2, -736? 3/10 Which is the smallest value? (a) -4 (b) -2.4 (c) -12 (d) 2/7 c Which is the second biggest value? (a) -0.5 (b) 4 (c) -5/2 (d) -3 (e) -0.257 e Which is the third biggest value? (a) -0.5 (b) 0 (c) -310.1 (d) -1 (e) -4 (f) -1/3 a What is the third smallest value in -1, -567, 12, 2? 2 Which is the biggest value? (a) -0.2 (b) -3 (c) 1334 (d) 0.24 (e) -8 c What is the second smallest value in 10/39, -1038, 0, -1/11? -1/11 Which is the biggest value? (a) -1 (b) 2/21 (c) 2/3 (d) -0.1 (e) -2.2 c What is the second smallest value in 1/3, -5/453, -0.2, -4, -5? -4 What is the third smallest value in -9.89, 5, -65, -0.5, -2? -2 What is the biggest value in 2/7, -4, -1/3, 52721? 52721 Which is the third smallest value? (a) 2 (b) -4 (c) 1.9 (d) 1/6 (e) 1/5 (f) 280 e Which is the fourth biggest value? (a) 0.8 (b) 1/9 (c) -42/101 (d) 1/8 c Which is the biggest value? (a) -81 (b) 4 (c) -1/4 (d) 93 d Which is the fourth smallest value? (a) -4 (b) -3/1502 (c) 4 (d) -17 (e) -0.4 b What is the biggest value in -3/7, 1/6, 0.4, 2, 571, 4? 571 What is the smallest value in -0.1262, -0.2, 0.8, 2/11, -3/5? -3/5 What is the fifth smallest value in 4, -0.1, -2/3, 33.1, -0.5? 33.1 What is the fifth smallest value in -2/11, 7, 2/17, -2, 9? 9 Which is the smallest value? (a) -0.1 (b) 0.02 (c) -13.682 c What is the second smallest value in 2, 27.97, -1/5? 2 Which is the third smallest value? (a) -0.3 (b) -1 (c) -11/5 (d) 28 a Which is the fourth smallest value? (a) -218 (b) -4 (c) -1/3 (d) -1.6 (e) 5 c Which is the second biggest value? (a) -1/17 (b) 2 (c) -0.03 (d) 0.2 d Which is the second smallest value? (a) -898 (b) 3 (c) 1/5 (d) 1/38 d Which is the third smallest value? (a) -18 (b) 4471 (c) 0.5 b Which is the third biggest value? (a) -2.9 (b) 0 (c) -0.2 (d) 3 (e) 5 (f) -153 b What is the second biggest value in -4, 0.2, 0, -1/9, 1/44? 1/44 What is the second biggest value in 0.04, -28, -2? -2 What is the biggest value in -3, 6/7, -60? 6/7 What is the third biggest value in 1, -2.1, -0.5, -0.2, -9, -6? -0.5 What is the third biggest value in 20, -0.3, 0.3, 0.05? 0.05 Which is the biggest value? (a) -4 (b) 4 (c) 1 (d) -2 (e) -6.18 b Which is the second biggest value? (a) 0.2 (b) 0 (c) 2/23 (d) -0.094 c What is the fourth smallest value in 1, -4, -39, -2/11, -2/9? -2/11 What is the second smallest value in 0, 7, -5007? 0 What is the third biggest value in 15, -120, 2, 2/3? 2/3 What is the sixth biggest value in -0.2, -830, 0.05, -4, 0.3, 0.1? -830 What is the second biggest value in 1/334, -12, -11, 3, 3/2? 3/2 Which is the fourth smallest value? (a) 1/4 (b) 5 (c) -19 (d) 0.07 (e) -1 a What is the fifth biggest value in 13, -0.54, -2, 0.4, -4, -1? -2 What is the fourth smallest value in 5, 1.2, 4, 0.3, -243? 4 What is the fifth biggest value in -0.5, -2/7, 11.4, -0.4, -1/5? -0.5 Which is the second smallest value? (a) 9283 (b) 3 (c) -8 b What is the third biggest value in -26, 0, -2/147, 0.5? -2/147 What is the smallest value in -1, -49, 0.062? -49 Which is the biggest value? (a) -5/344 (b) 1/2 (c) 0.35 (d) -5 b What is the fifth biggest value in 1/8, 0.5, -43.62,
{ "pile_set_name": "DM Mathematics" }
is the third biggest value in -0.1, j, o? o Let s = -0.5 + -0.5. What is the biggest value in -5, s, -2/9? -2/9 Suppose -4*g + 72 = -3*k - 7, 4*k - 4*g = -100. Let u = -24 - k. Which is the biggest value? (a) 1 (b) u (c) -4 a Let z be ((-4)/10)/(4*5/(-50)). Which is the fourth smallest value? (a) z (b) 1/4 (c) 3 (d) -1 c Let n = -7/12 + 25/12. Let c(q) = q**3 - 3*q**2 - q + 1. Let o be c(2). Let b = 1300/11 - 118. What is the second biggest value in n, b, o? b Let h = 376.01 + -379. Let v = h - 0.01. Suppose -9 = -3*n + 3. What is the smallest value in v, -5, n? -5 Suppose 4*c + 4*x + 4 = 0, 3*x + 9 = -0*x. Let d = -893/5 + 178. What is the smallest value in d, c, -4? -4 Let j = 0.7 - -4.3. Let m = 5.2 - j. Which is the second smallest value? (a) 3 (b) 0.5 (c) m b Suppose -4*t = -5 - 11. Let s be -1 + (-6)/(-2 + 1). What is the third biggest value in 0, t, s? 0 Suppose -3*f - 7 = 11. What is the biggest value in f, -4, -3? -3 Let j = -0.7 - -0.2. Let d(l) = -l**2 - 4*l + 8. Let q be d(-6). Let n = -825/8 + 103. Which is the second biggest value? (a) j (b) n (c) q a Let q be (-2)/14 - (-2)/7. Let f be (-9)/(-24)*(-2)/(-3). Which is the smallest value? (a) q (b) 1/3 (c) f a Let x = 0.5 - 1. Let z be 3 - 1 - 247/96. Let n = 3/32 - z. What is the smallest value in -3/4, x, n? -3/4 Let h be ((-16)/(-12))/((-4)/(-42)). Let f = -9 + h. Which is the second biggest value? (a) f (b) -4/9 (c) 1/4 c Let s = 3 - 2. Let z(l) = -l + 5. Let x be z(0). What is the third smallest value in x, 1/2, s? x Let g be 3/(-2 - (-29)/15). Let d be 10/g - (-29)/9. Which is the second smallest value? (a) 4/3 (b) d (c) -1 a Let g = -32 + 37. What is the third smallest value in g, -9, 2/11? g Let f = -6 + 8. What is the biggest value in -4, 5, -1/6, f? 5 Let s = 0.12 - 0.19. Let i = 0.03 - s. What is the third smallest value in 0.2, 4, i? 4 Let n = -0.2 - -0.13. Let o = n + 0.16. Let v = 4.91 + o. Which is the third smallest value? (a) -0.3 (b) 3/5 (c) v c Suppose 6*l - 6 = 3*l. Let d = 0.5 + -2.5. Which is the third biggest value? (a) l (b) d (c) -1 b Let g = 643 - 2573/4. Let m = -7.3 + 12. Let q = 0.3 + m. Which is the second biggest value? (a) g (b) 2/15 (c) q b Let k = 0.2 + -0.7. Suppose 5*s + 0*s + 40 = 0. Let t = -6 - s. What is the third biggest value in k, 1/7, t? k Let d = -0.39 - -0.29. Suppose p - 5*p = 5*y - 17, -y - 3 = 4*p. Which is the second smallest value? (a) 0 (b) p (c) d c Let o = 17 + -17.1. What is the biggest value in -1, o, 5, 0? 5 Let d = 1.6 - 1.8. Let j be 2/(-7) + (-8)/70. Which is the third smallest value? (a) j (b) 1 (c) d b Let q = -8.06 + 8. Let u = -0.36 - q. Let m = 0.1 + u. What is the smallest value in 0.2, -4, m? -4 Let x be (-440)/210 - (-4)/(28/3). Which is the third biggest value? (a) x (b) -2/11 (c) -2/19 (d) -1/6 b Let y be -5*-1*4/(-5). Let n = 1 + y. Which is the third biggest value? (a) 1 (b) n (c) 0.04 b Let t be ((-8)/60*5)/(1/(-1)). What is the second smallest value in -0.1, t, -1.2? -0.1 Let x(o) = -o**2 + 4*o + 7. Let d be x(6). Let r = 6 - 8. Let c = d - r. What is the smallest value in c, 3, 2/3? c Let x = -0.15 - 10.85. Let v = -13 - x. Which is the biggest value? (a) 2 (b) 3 (c) v b Let c be 77/33*(-4)/14. Let j = -4 - -3.5. What is the second biggest value in c, j, 2? j Let f = -5 - -1. Suppose 5*x + 5*d = -0*x + 45, 8 = 2*x + 4*d. Let i be ((-4)/33)/(x/21). Which is the second biggest value? (a) i (b) f (c) 2/11 a Suppose 3*h + 126 = 4*f, 2*f - 4*h - 68 = -0*h. Let p = -3 - -2. Let g be p/2*12/f. Which is the third smallest value? (a) 3 (b) 4 (c) g b Let s = -353/6 + 59. Which is the biggest value? (a) -2.6 (b) 0.4 (c) s b Let z = 123 - 56. Let w = -61.6 + z. Let r = w + -0.4. What is the smallest value in -2/7, 4, r? -2/7 Suppose k + 9 = -0*u + 5*u, 3*u = k + 5. Let o = -28 - u. Let h be 8/o - (-8)/(-20). Which is the third smallest value? (a) h (b) 2/5 (c) -1/3 b Let z = -0.9 - -1. Let r = 184.8 - 185. What is the biggest value in z, r, -0.1? z Let f = 3 - 8. Let z = 14/11 - 64/33. Which is the third smallest value? (a) f (b) z (c) -1 b Let a = -45/4 + 23/2. Let u = 4 + 0. Let k be (2/12)/(3/u). What is the third smallest value in k, a, 0.1? a Suppose 7*g - g + 108 = 0. What is the third biggest value in -4/7, 3/7, g? g Let k be (-6 + 5)*8/68. Which is the fourth smallest value? (a) k (b) 2 (c) 4 (d) 5 d Let n = -2 + 1.9. Let
{ "pile_set_name": "DM Mathematics" }
. 2*c*(c - 2233)*(c + 39) Factor -2*s**4/5 + 948*s**3 - 14208*s**2/5 + 14204*s/5 - 4734/5. -2*(s - 2367)*(s - 1)**3/5 Solve -j**5 + 51*j**4 - 141*j**3 - 155*j**2 + 534*j - 288 = 0 for j. -2, 1, 3, 48 Suppose 4*n**2 - 282840*n + 848484 = 0. What is n? 3, 70707 Find m such that -3*m**5/4 + 57*m**4 - 15*m**3/2 - 3825*m**2 + 50625*m/4 = 0. -9, 0, 5, 75 Factor -4*b**2 - 8664*b - 163172. -4*(b + 19)*(b + 2147) Factor 4835*w**2 - 536690*w + 555. 5*(w - 111)*(967*w - 1) Determine c so that -2*c**4/7 - 556*c**3/7 - 3274*c**2/7 - 2720*c/7 = 0. -272, -5, -1, 0 Factor -b**3/3 - 2575*b**2/3 - 66274*b/3. -b*(b + 26)*(b + 2549)/3 Find j, given that 27*j**5 - 1062*j**4 + 2010*j**3 + 11688*j**2 + 6963*j + 1110 = 0. -2, -1/3, 5, 37 Find y, given that 2*y**4/7 - 346*y**3/7 + 11394*y**2/7 - 99446*y/7 - 15884 = 0. -1, 19, 22, 133 Factor f**4/6 - 2026*f**3/3 + 2054363*f**2/3 - 1367550*f + 1366875/2. (f - 2025)**2*(f - 1)**2/6 Factor -2*j**3/7 + 4194*j**2/7 - 314400*j + 2196608/7. -2*(j - 1048)**2*(j - 1)/7 Factor -5*o**3/3 + 470*o**2/3. -5*o**2*(o - 94)/3 What is n in 242*n**3 - 13266*n**2 + 23520*n - 10600 = 0? 10/11, 53 Factor -135*w**2 + 525275*w + 38910. -5*(w - 3891)*(27*w + 2) Factor -3*x**3 + 141*x**2 + 1683*x + 1539. -3*(x - 57)*(x + 1)*(x + 9) Factor d**4 + 33178*d**3 + 275194917*d**2 - 132712*d - 1100779684. (d - 2)*(d + 2)*(d + 16589)**2 Suppose 3*p**3 + 3694*p**2 - 13579*p + 7410 = 0. Calculate p. -1235, 2/3, 3 Determine n, given that 3*n**5 + 372*n**4 + 7437*n**3 + 23628*n**2 - 7440*n - 24000 = 0. -100, -20, -4, -1, 1 Factor -2*l**3 + 244*l**2 + 30750*l - 3751992. -2*(l - 123)**2*(l + 124) Solve -2*n**4/5 + 88*n**3/5 + 618*n**2/5 - 872*n/5 - 280 = 0. -7, -1, 2, 50 Let 2*x**3/11 + 234*x**2/11 - 8*x/11 - 936/11 = 0. Calculate x. -117, -2, 2 Determine w, given that -4*w**4/5 + 184*w**3/5 - 644*w**2/5 - 1216*w/5 + 336 = 0. -2, 1, 5, 42 Factor z**2/6 + 10450*z/3 + 54601250/3. (z + 10450)**2/6 Determine n, given that -2*n**2/11 + 64*n/11 + 738/11 = 0. -9, 41 Determine t, given that -3*t**5 - 4170*t**4 - 16641*t**3 - 12474*t**2 = 0. -1386, -3, -1, 0 Factor 2*h**3/3 + 2318*h**2 - 18576*h + 111520/3. 2*(h - 4)**2*(h + 3485)/3 Determine p so that 5*p**3 - 410*p**2 - 2175*p = 0. -5, 0, 87 Determine k so that 2*k**5 + 1214*k**4 + 14384*k**3 + 62072*k**2 + 114368*k + 76160 = 0. -595, -4, -2 Factor -4*h**5 + 120*h**4 - 1008*h**3 + 2592*h**2. -4*h**2*(h - 18)*(h - 6)**2 Let -f**2 + 34154*f - 291623929 = 0. Calculate f. 17077 Factor 2*w**3 - 52*w**2 + 58*w + 1840. 2*(w - 23)*(w - 8)*(w + 5) Factor -t**2/4 - 147235*t - 21678145225. -(t + 294470)**2/4 Find r such that 16*r**4 - 227916*r**3 + 398812*r**2 - 113940*r - 56972 = 0. -1/4, 1, 14243 Factor -2*z**3/5 - 841564*z**2/5 + 1683134*z/5 - 841568/5. -2*(z - 1)**2*(z + 420784)/5 Factor 32*q**3/3 - 180*q**2 + 2212*q/3. 4*q*(q - 7)*(8*q - 79)/3 Factor 3*c**2 - 12738*c + 1207359. 3*(c - 4149)*(c - 97) Solve 4*j**5/7 - 12*j**4/7 - 1140*j**3/7 - 10084*j**2/7 - 33840*j/7 - 39600/7 = 0 for j. -6, -5, -3, 22 Find l such that -l**3 - 3525*l**2 - 3097575*l + 15576125 = 0. -1765, 5 Suppose 2*s**3/17 - 224*s**2/17 - 5592*s/17 + 41184/17 = 0. What is s? -26, 6, 132 Factor -i**2/4 + 1911*i/4 - 955/2. -(i - 1910)*(i - 1)/4 Let -10*r**3 + 326584*r**2 - 457202*r + 130628 = 0. What is r? 2/5, 1, 32657 Determine b so that -3*b**5 - 1215*b**4 - 64662*b**3 - 1203720*b**2 - 7034400*b + 8304000 = 0. -346, -20, 1 Factor 5*c**3/4 + 413*c**2/2 - 17315*c/4 - 874. (c - 19)*(c + 184)*(5*c + 1)/4 What is x in -5*x**5 - 80*x**4 + 545*x**3 + 13340*x**2 + 50160*x + 37440 = 0? -12, -4, -1, 13 Determine y so that -15*y**5 - 370*y**4 + 7655*y**3 - 27650*y**2 + 31780*y - 7800 = 0. -39, 1/3, 2, 10 Find m, given that -2*m**2/7 - 454*m - 31580/7 = 0. -1579, -10 Factor -i**3/4 - 310259*i**2/4. -i**2*(i + 310259)/4 Solve 5*a**4/4 + 13825*a**3/4 + 13
{ "pile_set_name": "DM Mathematics" }
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)). 51*v**4 Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3. -23*x**3 Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2). 41*w**3 Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124). -88*k**4 Expand (0*h - 3*h + h)*(2*h**4 - h + h) + 2*h**3 - 266 - 237 + 213 - h**5. -5*h**5 + 2*h**3 - 290 Expand (-2*q**2 + q**2 - q**2)*(-q + 3*q - 4*q) + (-1 + 1 + 2*q**2)*(1 - 1 - 2*q) - 25*q**3 - 4 + 2 + 130*q**2 + 22*q**3. -3*q**3 + 130*q**2 - 2 Expand 2*o**2 - o**4 - 2*o**2 - 3*o**4 - 26*o**4 - 30*o**4 + (3 - 3 + 3*o**3)*(-2*o + 6*o - 2*o) + 0*o**4 + 2*o**4 - o**4. -53*o**4 Expand (0 - 2 - 2)*(-3 - 3 + 2)*((4*o**2 + 2*o**2 - 4*o**2)*(-5*o**3 + 2*o**3 + 2*o**3) + 0*o**3 + o**5 + 0*o**3). -16*o**5 Expand -21*b - 18*b + 13*b + b - 6*b + 4*b - 3*b + 4*b + b + (1 + 1 - 1)*(5*b - 3*b - 3*b) - 4*b - 3*b + 5*b - 30*b - 8*b + 4 - 3. -66*b + 1 Expand (-34*k**3 - 26*k**3 + 18*k**3)*(-12 + 16*k + 12 - 2 + 2 - k + (-1 + 1 - k)*(-3 + 0 + 5) + 3*k + k - 3*k + 7*k - 2*k - 3*k + 2*k - k + k + 0 + 2*k + 0). -840*k**4 Expand (0*i**3 - i**3 - i**3)*(2917*i**2 + 1 - 17*i - 8*i - 2918*i**2). 2*i**5 + 50*i**4 - 2*i**3 Expand (-2*y + 0*y + 0*y)*(136*y**2 + 4775*y - 4775*y) + (4*y - y - y)*(4 - 4 - 2*y**2) - y + y**3 + y. -275*y**3 Expand 2*q**2 - q**2 + q**2 + (4*q + 4*q - 6*q)*(-1 + 1 - q) - 3*q**2 + 3*q**2 - 3*q**2 + 7*q**2 - 3*q**2 - 3*q**2. -2*q**2 Expand (-j + 3*j - 3*j)*(7 - 27 - 8)*(0 + 1 + 1). 56*j Expand -j**3 - 3*j**3 + 3*j**3 + (0*j + 0*j - 2*j)*(0*j**2 - j**2 + 0*j**2) - 3*j**3 + 0*j**3 + 5*j**3 - 42*j**2 + 11*j**3 + 42*j**2. 14*j**3 Expand (-3*r + 3*r + 6*r)*(2*r + 11*r + 7*r + 7*r). 162*r**2 Expand 3 - 3 - 5*x + (4*x - 3*x - 3*x)*(-3 + 4 + 1) + (-2*x + 2*x + 5*x)*(4 + 1 - 2). 6*x Expand (119*a - 63*a + 3 - 59*a)*(a**3 + a**2 + 2*a**2 + a**3). -6*a**4 - 3*a**3 + 9*a**2 Expand 10*i**4 + 68*i - 6*i**4 - 7*i**4 + (4 - 2*i**2 - 4)*(-1 + 1 + 2*i**2). -7*i**4 + 68*i Expand -5*i + 0*i - i + (2 - 3 + 0)*(-i - i - i) + 0 + i + 0 + (-2 + 1 - 2)*(4*i + 2*i - 5*i). -5*i Expand (-3 + 4 + 0)*(1 - 2 + 0)*(2 - 1 + 0)*(10*b - 4*b + 6*b). -12*b Expand -3 - 2*z + 0*z + 1 + 2 - 2 + 2*z + (-2 - 1 + 0)*(2*z + 0*z - z). -3*z - 2 Expand (-p + 2 + 0 - 5)*(-1 + 34*p**4 - 28*p**4 + 46*p**4). -52*p**5 - 156*p**4 + p + 3 Expand ((-1 + 2 + 3)*(5 - 6 + 0)*(h - 2*h + 0*h) + (-2*h + 8*h - 3*h)*(4 - 5 + 3))*(-6*h + 5*h + 4*h). 30*h**2 Expand (78*p - 71*p - 288*p)*(-2 + 1 + 2). -281*p Expand (-f + 4*f - f - 1)*(-17 - 7 - 3). -54*f + 27 Expand (0*o + 0*o - 4*o)*(-3*o + 3*o + 2*o**4) - 2*o**5 - 11*o**4 + 11*o**4. -10*o**5 Expand (-67 - 481 - 724)*(-2*y**5 - 1 + 1). 2544*y**5 Expand (-3*x - x + 1 + 3*x)*(-4*x - x + 2*x)*((-1 - 2*x + 1)*(3*x - 2*x - 3*x) + 3*x**2 + x**2 + 0*x**2). 24*x**4 - 24*x**3 Expand -o**5 + o**5 + o**5 + (0*o**2 - 2*o**2 + 0*o**2)*(-3*o**3 + o**3 + o**3) + 929*o**5 - 4*o**5 + 675*o**5. 1603*o**5 Expand -4*f + 3*f + 0*f + (-5 + 0 + 4)*(-5*f - 3*f + 6*f) + 25*f - 14*f - 2 + 3. 12*f + 1 Expand (507*j**4 - 2*j**2 + 2*j**2 - 841*j**4)*(0*j + 2*j + 0*j). -668*j**5 Expand (3*g + 2*g - 6*g)*(-2*g - 4 + 4) + (-1 + 2 + 0)*(11*g - 11*g + g**2 - 2). 3*g**2 - 2 Expand 4*f + f - 4*f + f - 1 + 1 + (-2 + 2 - f)*(-2 + 4 - 3) + (-12 + 2 - 13)*(-2*f + 4*f - 4*f). 49*f Expand -2*i**3 + 2*i**2 - 2*i**2 + (-2*i**2 + 6*i**2 - i**2)*(-118*i - 133 + 133). -356*i**3 Expand (-93 - 28 + 50)*(0*k + k + 0*k). -71*k Expand -2*o**4 - 65*o**3 + 60*o**3 - 27*o**3 - 4*o + (o**2 - o**2 - o**4)*(-
{ "pile_set_name": "DM Mathematics" }
earest 100. 5600 Let f = 9454 + -9453.6397. What is f rounded to 2 decimal places? 0.36 Let r = 72.3 + 0.7. Let t = r + -175. Let a = t - -102.00000098. Round a to 7 decimal places. 0.000001 Let p = 1.3605 + -1.3615798. Round p to 4 dps. -0.0011 Let f = 139.7 - 146. Let m = -7 - f. Let d = m + 0.69767. Round d to four dps. -0.0023 Let g = 0.941364956 + -0.9413. Round g to seven decimal places. 0.000065 Let f = 185.05 + -3.05. Let u = 354 - f. Let i = -171.909 + u. Round i to two dps. 0.09 Let c = 48696.652831 + -50731.6529353. Let s = c - -2035. Round s to five dps. -0.0001 Let t = -16381 - -5547. Let f = -10785.07 - t. What is f rounded to the nearest integer? 49 Suppose 2*r + 3*o = -2*r - 103, 52 = -2*r - 2*o. Let k(x) = 49*x**3 - 24*x**2 - 24*x + 25. Let n be k(r). What is n rounded to the nearest one million? -1000000 Let w = 0.023 + -501.023. Let t = -544.8 - w. Let z = 45 + t. Round z to 0 decimal places. 1 Let y = -713.8 - -709.1084. What is y rounded to two dps? -4.69 Let v = -0.239 + -117.761. Let w = v - -178. Let m = w + -55.2. What is m rounded to 0 dps? 5 Suppose v = -5*f - 2299001, 3*f + 1805183 = -5*v + 425778. Round f to the nearest 10000. -460000 Let x = 113.24 + -133.9. Let i = 11.12 + x. Let j = i - 0.06. What is j rounded to the nearest integer? -10 Let p = 3055 + -3054.99997372. What is p rounded to six decimal places? 0.000026 Suppose -5*k + 12425837 - 34720837 = 0. Round k to the nearest 1000000. -4000000 Let w(j) = -j**3 - 4*j**2 + 5*j + 4. Let l be w(-5). Suppose l*c - 522425 = -3*x + 67959, -2*c - 8 = 0. Round x to the nearest 10000. 200000 Let h = -655601.3199379 + 655698.32. Let d = -96.95536 + -0.04464. Let a = h + d. Round a to five dps. 0.00006 Let a = -2706170417.79998619 + 2706170400. Let w = 5371 + -5388.8. Let j = a - w. Round j to six decimal places. 0.000014 Let f = -0.53583189 + 2.07583476. Let i = f + -1.54. What is i rounded to 6 decimal places? 0.000003 Let m(w) = 676999*w**2 - 15*w - 50. Suppose 0 = 3*c + 8 + 22. Let k be m(c). What is k rounded to the nearest one million? 68000000 Suppose -102706 = -38*w + 63814 + 39630. What is w rounded to the nearest 100? 5400 Let x = -18.88 + 2.08. Let v = x + 22.9. What is v rounded to the nearest integer? 6 Suppose -4*c = -25 + 5. Suppose 0 = c*f - 10, -2*h + 6*h - 25602 = -f. Round h to the nearest 1000. 6000 Let y = -104148160.691 + 104148276.791000499. Let g = 116.1 - y. What is g rounded to 7 decimal places? -0.0000005 Suppose -x - 43 = -582. Suppose -z = 4*a - 9*a - 2713, -2*z + x = -a. Round a to the nearest one hundred. -500 Let s = -143.9 + -49.85. Let p = -199 - s. What is p rounded to 0 dps? -5 Let z = 19.75 + 9.327. Let k = -29 + z. Let g = -0.07699909 + k. Round g to 7 decimal places. 0.0000009 Let n = 478946308 + -478946306.814997198. Let l = n + -1.185. What is l rounded to 6 decimal places? 0.000003 Let p = -505250 + 505259.60228. Let v = -9.472 - 0.128. Let w = p + v. Round w to 4 decimal places. 0.0023 Let m = 0.0382 - -10.3018. Let z = -10.33999279 + m. Round z to seven dps. 0.0000072 Suppose 0 = -2*p + c + 23047497, p + 0*c = 3*c + 11523741. Let t be ((-16)/3)/(2/p). What is t rounded to the nearest one million? -31000000 Let f = 0.149 - 13.149. Let o = 21.3 - f. Round o to the nearest integer. 34 Let h = 9809.838 + -9811. Let z = 23 + -22.982. Let a = z - h. Round a to one dp. 1.2 Let w = 18148.64948 + -18202.65. Let i = 135 - 81. Let b = i + w. Round b to 4 dps. -0.0005 Let g = 6.3779 + -6.408479. Round g to 3 dps. -0.031 Let u = 2.205 + -1.964. Let t = 21.874 - 22. Let b = u - t. Round b to two decimal places. 0.37 Suppose 2*u + 16 = 3*w - 0*u, 4*w + 2 = -2*u. Suppose 6*p = w*p + 28. Let g be -1 + 9/p - 15350898/(-357). Round g to the nearest 10000. 40000 Let q = -153 - -128.52. What is q rounded to zero decimal places? -24 Let z = 1249.1 + -1254.423. Round z to zero decimal places. -5 Let h = 363.70695061 - 391.1418442. Let c = h + 28.6848943. Let d = c + -1.25. What is d rounded to seven dps? 0.0000007 Suppose -3*h = 5*s - 21454800, -2*s = 2*h - 4*s - 14303184. Let a = h + -3711595. Round a to the nearest 1000000. 3000000 Let a = -4907636.674999909 + 4907637.49. Let i = a + -0.815. Round i to 7 decimal places. 0.0000001 Let a = 465.1 - -110.9. Let g = a + -1274. Let d = -697.999679 - g. What is d rounded to 5 dps? 0.00032 Let s = 18090004 - 18090156.99606. Let r = -153 - s. What is r rounded to 3 dps? -0.004 Let h = 0.0367 + -168.0367. Let r = h - -167.99998772. What is r rounded to 6 decimal places? -0.000012 Let o(a) = 61*a**2 - a - 2. Let q be o(-2). Suppose -q = 15*f + 1091. What is f rounded to the nearest 10? -90 Let v = -149 - -118.5. Let g = v + 30.5000121. Round g to six decimal places. 0.000012 Let h = 59454 - 59374.919. Let i = h - 79. Let v = i + 0.079. What is v rounded to 1 decimal place? 0.2 Let z(s) = -559679*s + 23649*s + 26021*s - 43 - 47. Let w be z(-10). What
{ "pile_set_name": "DM Mathematics" }
s? True Is -10 at least as big as -52583/4743? True Is 296092/9 at least 106/3? True Which is smaller: 782050 or 781773? 781773 Which is bigger: 34/837 or 2517? 2517 Which is bigger: -19076 or 1020? 1020 Which is smaller: -42848271 or -42848304? -42848304 Which is smaller: 305534 or 305527? 305527 Which is greater: 8152 or 1165578/143? 8152 Which is smaller: -184.6 or -185204? -185204 Which is smaller: -647.5 or -5442? -5442 Which is smaller: -218578 or -219973? -219973 Which is smaller: 218987 or 681? 681 Are 21400115 and 21400115 equal? True Is -48384471 <= -48384472? False Which is smaller: 7741907/4 or 1935476? 1935476 Is 517 less than or equal to 564676/1091? True Which is smaller: 1 or -12976/32427? -12976/32427 Which is bigger: 1499044 or 19487582/13? 19487582/13 Is 4694918.9 < -2/5? False Is -7 greater than -17453/2394? True Which is smaller: 0.2 or 0.0575361997? 0.0575361997 Is 0.0710831 > 2/7? False Is 5990 > -123? True Do 1 and -7/3228853 have different values? True Is 17 at least 826912? False Is -420728 > -536? False Is -4699862 less than -4699860? True Which is greater: 7763 or 357059/46? 7763 Which is smaller: 547 or -52505? -52505 Which is greater: -0.2192 or 2064? 2064 Is 104/1459467 smaller than 1? True Which is greater: 0 or 7/17554920? 7/17554920 Is 1 greater than 17/423002? True Which is greater: 0 or 2228/33477? 2228/33477 Is -330380/81 bigger than -4079? True Is 1 bigger than -4092/917969? True Which is smaller: 889567 or 889575? 889567 Does 1/783 = -0.4314? False Which is greater: 5/1289448 or -1? 5/1289448 Is 11086026 > 11086026? False Is -247190 not equal to -247189? True Which is smaller: -4 or 13655584? -4 Is -30584394/43 greater than 0.3? False Is -104368 greater than or equal to 10.9? False Is 13419 <= 6250? False Is -64336 bigger than -2/3? False Which is bigger: 16/4398335 or -1? 16/4398335 Which is smaller: 4113 or 3298? 3298 Which is greater: 63556129/2 or 31778065? 31778065 Which is bigger: 207/10494599 or -1? 207/10494599 Which is bigger: -1409 or -3636? -1409 Which is bigger: -4347 or 265? 265 Which is bigger: -24939984 or -24939985? -24939984 Is -2801/44 at least -2/7? False Does -1202361/16 = 5/3? False Which is greater: 1268519 or 52/7? 1268519 Is -0.111 greater than 83/85? False Which is bigger: -1/90531968 or 0? 0 Is -9/7 less than 68.0551? True Which is greater: -2927345 or -5854689/2? -5854689/2 Which is smaller: 1 or -7337730? -7337730 Are 815684/2665 and 307 non-equal? True Which is smaller: -108811 or -113608? -113608 Which is smaller: 513333 or 513497? 513333 Is -903.5575 greater than or equal to -0.066? False Is -1007685 smaller than -9069158/9? True Is 181544197 > 181544197? False Which is bigger: 1 or -121/111953? 1 Does -457/10498 = 0? False Which is bigger: 123221 or 943? 123221 Which is greater: -1200 or -52325? -1200 Is 185267 at least as big as 185256? True Is -11500865 >= -11500864? False Is -431828 > -431842? True Which is greater: -149582757 or -149582755? -149582755 Which is bigger: -21169 or -19939? -19939 Which is smaller: -20 or 2/13015013? -20 Which is greater: 21298169 or 21298171? 21298171 Is 860672 > 13/21? True Are 2085352 and 0.82 equal? False Which is smaller: 232 or -358394? -358394 Is 592849 >= 592434? True Which is smaller: 60.135 or 1/10? 1/10 Does -818610/77 = -10630? False Is -5/350248 at most -1? False Is 111/8 at least as big as -69/160? True Is -16617 smaller than 1.66? True Is -77 <= -0.1329742? True Which is smaller: 714664208 or 2? 2 Is 1704 equal to 610109/358? False Which is bigger: 1/7601 or 2701/5? 2701/5 Which is smaller: -11136910/9 or -1237435? -1237435 Which is bigger: -4203565/8 or -525445? -525445 Are 351787 and 352858 nonequal? True Is 470109 not equal to 469922? True Is 721270/133 less than 5423? False Which is smaller: 6764093 or 6764148? 6764093 Is -19162 >= -19225? True Are 1188140 and 13069538/11 nonequal? True Which is smaller: 3/438108332 or -1? -1 Which is smaller: -8918/291 or -32? -32 Is -71584 > -71573? False Is -44315/32848 greater than -2? True Do -20216857 and -20216857 have different values? False Is -27042 < -15614? True Which is greater: 1 or -3/720187? 1 Is -1170 at most as big as -471959/403? False Which is smaller: 0.15 or -8.1784589? -8.1784589 Is -650 at most -1/3059? True Which is smaller: -1970887 or -21679742/11? -1970887 Is -4327007 not equal to -4327007? False Are 275363 and 275363 equal? True Is 5234209 bigger than 5234227? False Do -1 and -14767/35788 have the same value? False Is -1089099 less than or equal to 27? True Which is smaller: -1200 or -9/16330? -1200 Is -758095 >= 11? False Which is bigger: 32238 or -196/5? 32238 Which is smaller: -44 or -231736/5221? -231736/5221 Is 1393050 greater than or equal to 1393032? True Are -2601 and -3/10357 equal? False Is -5/19 bigger than 156497/8? False Is -6 bigger than 17239649? False Which is smaller: -1175395 or -1175371? -1175395 Which is smaller: 198/7 or -5/33923? -5/33923 Which is smaller: -1/7 or -1002130? -1002130 Is -38910/39397 at least
{ "pile_set_name": "DM Mathematics" }
Let v = 11.8716 + k. Let f = v - 104. Round f to two dps. 0.13 Suppose 3*g = g + 6400000. Suppose -5*o = -o + g. What is o rounded to the nearest one hundred thousand? -800000 Let z = 41 + -77. Let x = z + -77. Let d = -66 - x. What is d rounded to the nearest ten? 50 Let f = 8469668282909 + -8469701545305.999962. Let k = f - -33262440. Let s = -43 + k. What is s rounded to five dps? 0.00004 Let g = -51 + 12. Let t be (-1 + -177)*g/6. Suppose 0 = 5*y - 4*r - 324 - 1114, 4*y - t = r. What is y rounded to the nearest one hundred? 300 Let z(n) = 175353*n - 354. Let j be z(18). Round j to the nearest 100000. 3200000 Let h = -18735 + 18736.49994. Let y = 115.5 - 114. Let m = h - y. What is m rounded to four decimal places? -0.0001 Let v = 2840.7936 - 2841. Round v to one decimal place. -0.2 Let u = 33.830002017 - 33.83. What is u rounded to six decimal places? 0.000002 Let l = -66892 + 67119.9507. Let u = 253.950687 - l. Let i = 26 - u. Round i to 6 decimal places. 0.000013 Let o = -977061 + 1602061. What is o rounded to the nearest ten thousand? 630000 Let l = -0.07 + 0.078. Let o = l - 0.0069. Round o to 3 dps. 0.001 Let k(x) = x**3 + 10*x**2 - 17*x + 15. Let h be k(-17). What is h rounded to the nearest ten? -1720 Let n = -95.4166 - -101.17373. Let p = n - 0.35443. Let s = p + -5.4. Round s to 3 decimal places. 0.003 Let m = -206.7 + 209. What is m rounded to zero decimal places? 2 Let q = 91.43 + -91. Let g = 70.644 - 71. Let j = g + q. Round j to two decimal places. 0.07 Let p = -0.066 + 0.683. Round p to 2 dps. 0.62 Let i = 59097335.37999957 + -59097336. Let j = i - -0.62. What is j rounded to seven decimal places? -0.0000004 Let m = -35.531 + 37.4. What is m rounded to one dp? 1.9 Suppose -5*r + 3*x + 1245003 = -6*r, 3734997 = -3*r + 3*x. Round r to the nearest 10000. -1250000 Let d = 2741460 - 1488879. Let o = d + -2912581. Round o to the nearest one hundred thousand. -1700000 Let j = 16 + -1. Let o = j - 24. Let a = 9.0012 + o. Round a to three decimal places. 0.001 Let b = -10.7741 + 19.7735. Let s = -9 + b. Round s to four dps. -0.0006 Let y(v) = v**2 + 6. Let z be y(0). Let s = 6 - z. Suppose x + 1675853 + 3224147 = s. Round x to the nearest 1000000. -5000000 Let g = -0.39 - 7.86. Let y = g - -7. Let z = -1.1 - y. What is z rounded to one dp? 0.2 Let f be 174 + -1 - (-1)/(-3)*3. Suppose -4*a - a + f = -k, -4*a = k + 199. What is k rounded to the nearest 10? -190 Suppose 0*a - a - 26131496 = 0. Let r = 6551959 + -15283455. Let t = r - a. Round t to the nearest one million. 17000000 Let s = -1012 - -1011.999042. Round s to four decimal places. -0.001 Let j = 2503.8 + -2292. Let q = 238 - j. Let z = -31 + q. Round z to zero decimal places. -5 Let r = 11.30154 + -11.3. What is r rounded to three decimal places? 0.002 Suppose 2*u - 6 = -0. Suppose -u*w + 133723 = -2296277. Round w to the nearest one hundred thousand. 800000 Let w = -8 - -12. Let g(q) = -12005*q - 7. Let l be g(-1). Let j be l/10 + w/20. What is j rounded to the nearest 1000? 1000 Let a be (-1 - -4)*2/6. Let x be -762626 + 1*(a + 2). Let o = x + 1432623. Round o to the nearest 100000. 700000 Let g = -2.9299924 + 2.93. What is g rounded to 6 dps? 0.000008 Let x = 0.423 - 58.223. Let s = 64 + x. What is s rounded to the nearest 10? 10 Let n = 204.06 - 207. Let b = n + 1.2. Round b to one decimal place. -1.7 Let v = 48 - 48.1314. Round v to two dps. -0.13 Suppose 8*d = 3*d + 232875. Suppose 5*r = -0*r + d. Suppose 15 = -3*w - 0*w, -3*w - r = -3*l. What is l rounded to the nearest one thousand? 3000 Let q = -9.749 - -9.85. What is q rounded to one decimal place? 0.1 Suppose -5*m = -m + 4. Let v be (1520/(-24))/(2/6*m). Round v to the nearest ten. 190 Let i(r) = -1 + 7262*r**3 - 2 - 2 - 3*r. Let m be i(5). Suppose -3*s - m - 1822270 = 0. Round s to the nearest 100000. -900000 Let a = -16.79 - -2.68. Let k = -14 - a. Let c = k + -0.10999966. What is c rounded to 7 decimal places? 0.0000003 Let l = 0.721 - 0.72100916. Round l to 5 dps. -0.00001 Let x = 10.1526 - 6.352848. Let r = x + -3.8. What is r rounded to 5 dps? -0.00025 Let i = 7778.0997 - 7801.0997065. Let k = -23 - i. Round k to six decimal places. 0.000007 Suppose 3*l = 5*l + 11100000. Round l to the nearest one hundred thousand. -5600000 Suppose -30*c - 11 = -31*c. Suppose -8*n = -c*n. Suppose x - 4*x - 545 = -5*o, n = 3*o - 4*x - 327. What is o rounded to the nearest ten? 110 Let b = 1.6 + -11.1. Let u = 14.25 + b. Round u to the nearest integer. 5 Let g = 194 + -194.828. Let n = g + -0.262. What is n rounded to one decimal place? -1.1 Let x = 3.985 + -0.97. Let v = 3.3 - x. What is v rounded to two dps? 0.29 Let u = -14.57651 + 14.57. Round u to 3 decimal places. -0.007 Let n = 227.5890950207192 + -374616728.5890851207192. Let x = n - -374616564. Let d = 63 - x. Round d to 6 dps. -0.00001 Suppose 24 = 20*k - 14*k. Suppose k*r - 13*r - 153 = 0. Round r to the nearest 10. -20 Let v = -9 + 7.8. Round v to the nearest ten. 0 Let j = 1102325816.279999817 + -1102325813. Let v = j + -3.
{ "pile_set_name": "DM Mathematics" }
13). 2 Let g(x) = x - 10. Calculate g(5). -5 Let k(x) = -x**3 + 23*x**2 + 52*x - 43. Determine k(25). 7 Let l(u) = -7*u - 233. Give l(-34). 5 Let y(c) = -c**3 + 38*c**2 - 106*c + 11. Give y(35). -24 Let n(v) = -v**3 - 7*v**2 - 11*v + 2. Give n(-5). 7 Let u(n) = 13*n + 2. Calculate u(3). 41 Let m(o) = -3*o + 12. Determine m(2). 6 Let v(z) = -z**3 - 5*z**2 + 5*z - 12. Give v(-6). -6 Let i(n) = 2*n + 5. What is i(-4)? -3 Let d(w) = -2*w**2 + 4*w + 3. Determine d(-3). -27 Let x(j) = 5*j**2 - 65*j + 205. Give x(8). 5 Let j(h) = -h**3 + 7*h**2 - 6*h. Calculate j(7). -42 Let p(q) = -q - 3. Determine p(3). -6 Let t(d) = -d**2 - 17*d - 47. What is t(-12)? 13 Let q(i) = -3*i**3 - 5*i**2 - 4*i - 3. Calculate q(-3). 45 Let f(n) = n + 35. What is f(-24)? 11 Let z(c) = 9*c**3 + 2*c**2 - 6*c - 3. Determine z(-2). -55 Let w(o) = -13*o**3 + 3*o**2 - 3*o - 2. Determine w(-1). 17 Let f(v) = -v**3 + 4*v**2 - 2*v - 1. Give f(3). 2 Let a(f) = 3*f**2 - 15*f - 6. Give a(4). -18 Let c(p) = 2*p**3 + 3*p**2 - 2*p + 4. Determine c(-3). -17 Let u(i) = -11*i - 60. Calculate u(-4). -16 Let a(f) = 7*f**2 - 8*f. Calculate a(-4). 144 Let g(u) = u**3 - 14*u**2 + 12*u + 6. Calculate g(13). -7 Let g(z) = 6*z**2 + 17*z + 1. Calculate g(-3). 4 Let q(z) = -13*z**2 - 53*z - 6. Calculate q(-4). -2 Let v(m) = m - 1. Give v(16). 15 Let n(k) = 16*k + 2. What is n(-1)? -14 Let a(i) = 4*i + 27. Determine a(-8). -5 Let q(o) = o**3 + 8*o**2 + 9*o + 4. Give q(-3). 22 Let y(s) = -s + 3. Calculate y(-14). 17 Let k(j) = j**3 - 4*j**2 - 3*j - 7. What is k(5)? 3 Let y(k) = k**2 + 3*k - 14. Give y(-5). -4 Let u(o) = 2*o**3 - 6*o**2 + o + 1. Give u(2). -5 Let l(u) = -u**2 + 5*u + 3. What is l(7)? -11 Let f(o) = -69*o - 82. Give f(-1). -13 Let n(k) = -k**3 + 7*k**2 - k + 9. Determine n(7). 2 Let q(g) = -g**2 + 15*g + 39. Determine q(19). -37 Let v(y) = y**2 + 3*y - 15. Give v(3). 3 Let r(m) = m**3 + 17*m**2 + 13*m - 32. What is r(-16)? 16 Let x(z) = 3*z - 6. Calculate x(2). 0 Let r(m) = 6*m - 5. What is r(6)? 31 Let c(f) = f**3 - 43. Calculate c(0). -43 Let i(b) = -37*b**2 + 2*b - 1. Determine i(1). -36 Let q(z) = 2*z**2 - 24*z + 5. Determine q(12). 5 Let g(f) = f**2 + 7*f - 15. Calculate g(-7). -15 Let x(a) = -a**3 + 7*a**2 - 8*a + 6. What is x(6)? -6 Let p(g) = 3*g**2 - 6*g - 2. What is p(-7)? 187 Let g(w) = 2*w**2 - 42*w - 36. Give g(23). 56 Let i(z) = 5*z - 71. Determine i(13). -6 Let o(y) = 27*y + 2. Calculate o(3). 83 Let n(s) = -5*s**2 - 56*s + 4. Determine n(-11). 15 Let b(u) = u**2 - 13*u + 12. Calculate b(10). -18 Let k(i) = i**3 + 13*i**2 + 37*i + 12. Calculate k(-9). 3 Let l(b) = b**2 - 8*b - 27. Determine l(11). 6 Let y(b) = b**3 + 5*b**2 - b + 12. Determine y(-6). -18 Let d(m) = 25*m + 208. Give d(-9). -17 Let c(k) = -10*k**2 - 111*k - 3. What is c(-11)? 8 Let u(r) = 14*r - 76. What is u(6)? 8 Let k(a) = -29*a - 3. What is k(-2)? 55 Let o(j) = j**3 - 8*j**2 + 3*j + 3. Give o(8). 27 Let w(r) = -14*r + 84. Calculate w(6). 0 Let p(s) = -s**3 + 5*s**2 - 5*s + 7. Calculate p(4). 3 Let z(x) = -x**2 + 17*x - 56. What is z(13)? -4 Let h(c) = -11*c - 8. What is h(-2)? 14 Let g(b) = -b**2 + 5*b + 1. Give g(4). 5 Let t(v) = -v**2 - 27*v - 127. Determine t(-21). -1 Let a(k) = -2*k**2 + 13*k - 8. What is a(10)? -78 Let w(k) = -53*k - 572. Give w(-11). 11 Let o(f) = f**3 - 5*f**2 + 5*f - 4. Give o(2). -6 Let l(c) = -c - 2. Calculate l(-8). 6 Let k(n) = -n**2 - 18*n - 104. Calculate k(-11). -27 Let w(s) = s**2 + 8*s - 4. Calculate w(6). 80 Let b(l) = -l**2 + 7*l + 5. What is b(7)? 5 Let p(r) = -r**3 - 14*r**2 + 15*r + 4. Calculate p(-15). 4 Let d(g) = g**2 + 14*g + 6. Give d(-12). -18 Let i(k) = -k**3 + 15*k**2 - 13*k - 43. Give i(14). -29 Let i(z) = -z**2 + 3*z + 14. Give i(8). -26 Let h(m) = -3*m + 30. Give h(5). 15
{ "pile_set_name": "DM Mathematics" }
et l = 0 + m. Solve -4*v - 5 = l, -4*k - 16 = -v for k. -5 Suppose v + 4*l - 89 = 5*l, 3*v - 4*l - 264 = 0. Let p be v/22 - (30/55)/3. Solve p*q + 3*w = -2, -6*q + q - 4 = 3*w for q. -2 Let x(f) = 37*f - 39*f - 2 - 1 + 0. Let b be x(-4). Solve b*u - 12 = -2*v, -5*u = -0*v + v - 16 for v. -4 Let f = 9 + -15. Let o = f - -21. Suppose -4*q + 7 = 3*l, 0 = -3*q + 2*l - l + o. Solve 5*m - z - 1 - 16 = 0, -q*z + 16 = m for m. 4 Suppose 0 = 2*x + 6 + 14. Let f be (-4)/x + (-168)/(-30). Suppose -2335*u + 2345*u - 10 = 0. Solve -m + 5*q - 3 = -u, -5*q = -3*m - f for m. -2 Suppose 4*x = 4*q + 497 + 63, 2*x - 256 = -4*q. Let a be x/(-14) + (-6)/21. Let u be 2/a - (-32)/10. Solve 4*g + 2*v = -22, -u*g + 3*v - 34 = 8*v for g. -3 Let i(a) = -a**2 + 32*a - 207. Let s be i(9). Solve s = 2*q + 5*p + 25, 2*p - 31 = 5*q + 4*p for q. -5 Let c = -175 + 305. Let f = 133 - c. Solve 2*d = f*h + 12, 2*h - 3*d = -2*d - 7 for h. -2 Let j be 308/(-20) - (-5)/((-25)/(-2)). Let v be j*5/(-15)*1/1. Solve -3*b = -2*b + 3*w + 17, -4*b = -v*w for b. -5 Let y(m) = 5*m**3 - m**2 - 13*m + 13. Let t be y(1). Solve 5*q + t*z + 20 = -z, 2*q = -3*z - 7 for q. -5 Suppose 80 = y + 19*y. Solve 2*m + y*q - 3 = 11, 9 = -m + 2*q for m. -1 Let p be 3/((-2)/(16/(-6))). Let s = -39 - -31. Let i be 12/s - (-6)/p. Solve -4*x = -2*l - 11 - 17, 3*l + 3*x - 3 = i for l. -4 Let v be 2 + 2 + (-152)/(-4). Let r = 59 - v. Let d = 22 - r. Solve -2*l + 4*q - 9 = -q, -d*l + 18 = q for l. 3 Let b(p) = 6*p + 16. Let o be b(6). Let h = 55 - o. Solve 2*q + 2*x + h*x - 27 = 0, -2*q - 8 = -2*x for q. 1 Let h = 239 + -218. Solve -h = 4*q - z - 0*z, -2*z + 2 = 2*q for q. -4 Let c be ((-6)/(-14))/(8/168). Let p be 5/(5/c) + -4. Solve -25 = -p*n, -n = 3*q + 3 - 20 for q. 4 Let r be 8/(-28) - 300/(-21). Suppose 2*p - r = -2. Solve h + p*k - 29 = k, h - 4*k = -16 for h. 4 Let i = 4 + 3. Let v(w) = w**2 + w - 1. Let y be v(1). Solve -3*b - 3*a = -12, 2*b - i = -4*a + y for b. 4 Suppose 5*g + 5 = 0, 2*a = g - 3 + 8. Solve -2*p + 3 + 2 = -v, -2*v = 2*p - a for v. -1 Suppose 0 = -3*l + 1 + 11. Solve 5*q + 40 = 3*x - 0, 3*x = l*q + 35 for q. -5 Suppose -54*d + 60*d - 222 = 0. Suppose 0 = 38*z - d*z - 5. Solve -4*f - b = -f + 3, b = -4*f - z for f. -2 Let b(r) = r**2 + 44*r + 168. Let y be b(-40). Solve -v = -4*v - h + 5, 2*v - 4*h = y for v. 2 Let j(y) = 19*y**3 + 3*y**2 - y - 1. Let f be j(1). Suppose -i + 3 = d, 3*d + 7 = i - 0*i. Solve i*p + 3 = -3*s - 15, 4*s + 4*p + f = 0 for s. -2 Let n = -9 + 12. Suppose n*q + 0*q + 48 = 0. Let k = -11 - q. Solve k*d = 3*t + 23, 3*d = -d + 4*t + 20 for d. 4 Let j(r) = 15 + 0*r - r - 3*r + 3*r. Let t be j(12). Let f = 3 - -2. Solve -f*v - 2*b = -35, -t*v - 4*b + 5*b + 10 = 0 for v. 5 Let r be 162/2 - (-2 - 1). Let g be ((r/18)/7)/((-1)/(-3)). Solve i + 2*x = 2, 10 = -0*i + g*i - 2*x for i. 4 Suppose 0 = 5*x - 4 - 1. Let w = x - -7. Solve -3*p + 0*p - 2*k + 10 = 0, -3*p - k = -w for p. 2 Let b(p) = p**3 + 5*p**2 - 9*p - 10. Let z be b(-7). Let g be (-231)/z - (-4)/(-30). Solve g*j - 4*q + 20 = 3*j, 5*j + 6 = -q for j. -2 Suppose q + k = -0*k + 8, 0 = -4*q - k + 20. Suppose 5*b + 4*u = -13 + 93, 4*u = q*b - 100. Solve -2*z - z - 5*j + 40 = 0, 5*z - j - b = 0 for z. 5 Suppose -5*q + 18 = 3. Suppose 5*k + 428 = -4*d, 3*d = -2*k + 8 - 182. Let c = k - -88. Solve -32 = -c*a + q*x, -x + 6 = 2*a - 0*x for a. 5 Let m be -4 + 2 - (-1)/(3/57). Let n(q) = -11*q - 2. Let k be n(2). Let d = k + 24. Solve 3*c = 5*b + m, d = b + c - 0*c + 5 for b. -4 Suppose -k + 2 = -3, 0 = h - k + 6. Let y = h + 4. Let c = y - 1. Solve -c*m + 10 = -2*r - m, -r = 5*m + 5 for r. -5 Let t(b) = -2*b - 28. Let r be t(-17). Suppose -r*v + 4*v - s = -9, -3*s + 17 = v. Solve 3*k - 2*k = -3*c, -v*k = -4*c for k. 0 Suppose -74 = -39*b + 121. Solve 4*f = -b*o - 37, 17 = -2*o + o - 4*f for o. -5 Let x be (0 + -4 + 3)*1. Let k = x + 5. Let v be (-2 + k)/(3/6). Solve w + 4*w - t -
{ "pile_set_name": "DM Mathematics" }
n 67*i**2 + 64*i**2 + 183*i**2. 314*i**2 Collect the terms in 2 + 16*u + 24*u - 9*u. 31*u + 2 Collect the terms in b**2 - 7*b**3 - 4*b**2 - 5*b**3. -12*b**3 - 3*b**2 Collect the terms in 19*k**3 - 15 + 11 + 4. 19*k**3 Collect the terms in -49*g - 20*g + 6*g + 2*g. -61*g Collect the terms in -168 + 246 - 3*g - 2*g + 6*g. g + 78 Collect the terms in 5*g**3 - 2*g**3 - 53*g**2 + 28*g**2 + 25*g**2. 3*g**3 Collect the terms in -3*k**2 - 150*k**2 - 40*k**2 + 24*k**2. -169*k**2 Collect the terms in -3*n**3 + n**3 + 0*n**3. -2*n**3 Collect the terms in 40*m - 10*m - 18*m. 12*m Collect the terms in 4*b - 36 - 28 + 64. 4*b Collect the terms in 705*r**3 - 352*r**3 - 347*r**3. 6*r**3 Collect the terms in 2*f**3 + 18 - 17 - 1. 2*f**3 Collect the terms in 2 - 2*k - 2 - 31*k + 1. -33*k + 1 Collect the terms in 14*t + 8*t + 11*t - 36*t. -3*t Collect the terms in -54*n + 27*n + 21*n. -6*n Collect the terms in -5*g + 0*g + 62 + 106. -5*g + 168 Collect the terms in -4*w**2 + 322847 - 322847 + w**2. -3*w**2 Collect the terms in 5*p**3 + 29894*p + 5 - 29894*p + 3*p**3. 8*p**3 + 5 Collect the terms in 4*f**2 - 7*f**2 + 24*f**2 + 2*f**2. 23*f**2 Collect the terms in -7 - 6 - 4*d**2 + 13. -4*d**2 Collect the terms in -9 + 9 - 311*f**2. -311*f**2 Collect the terms in 3*k**2 + 9*k**2 + 4*k**2 - 15*k**2. k**2 Collect the terms in 20*w**2 - 6 - 6 - 2*w**2. 18*w**2 - 12 Collect the terms in 4*i**3 - 62 - i**3 + 62. 3*i**3 Collect the terms in d**2 + 2*d**3 + 0*d**3 - d**2 + 8*d. 2*d**3 + 8*d Collect the terms in 3*q + 8 - 2*q + 4*q. 5*q + 8 Collect the terms in z**3 + 18*z**2 - 14*z**2 - 22*z**2 + 18*z**2. z**3 Collect the terms in -10*l + 2 - 8 + 6. -10*l Collect the terms in 446*f - 226*f - 220*f + 14*f**2. 14*f**2 Collect the terms in 2*j**2 - j**2 + j**2 - j**2. j**2 Collect the terms in 28*k**2 - 3 - 25*k**2 + 2 + 5. 3*k**2 + 4 Collect the terms in -13 - 7 + 3*b**2 - 12 + 6. 3*b**2 - 26 Collect the terms in 10*w**2 - 114*w**2 + 66*w**2. -38*w**2 Collect the terms in -25 + 25 - 9*q**2 - 16*q**2. -25*q**2 Collect the terms in -1132*x**2 + 561*x**2 + 573*x**2. 2*x**2 Collect the terms in 21074 + q**3 - 42139 + 21065. q**3 Collect the terms in 93 + 23*h**2 - 23*h**2 + 2*h**3 + 50. 2*h**3 + 143 Collect the terms in -2*z - 20 - 7*z + 6*z + z. -2*z - 20 Collect the terms in 83*u + 2 + 297*u + 134*u. 514*u + 2 Collect the terms in -12*v**2 + 8*v**2 - 7*v**2 - 12*v**2. -23*v**2 Collect the terms in -5*v**2 + 4*v**2 - 2*v**2. -3*v**2 Collect the terms in -12*s**2 + 5*s - 4 + 4. -12*s**2 + 5*s Collect the terms in -10*b + 2*b - 3*b**2 + 8*b. -3*b**2 Collect the terms in -r - 11*r + 3*r - 18*r. -27*r Collect the terms in 4439671 - 4439671 + 6*p**2. 6*p**2 Collect the terms in -10*m - 8*m + 27*m - 8*m. m Collect the terms in 2*p - 79*p - 14*p - 43*p. -134*p Collect the terms in 1 + 1 - 4*q**2 - 2. -4*q**2 Collect the terms in -2 + 2*x + 9 + 5 + x. 3*x + 12 Collect the terms in -x**2 + x**2 + 10*x**3 + 2*x**3. 12*x**3 Collect the terms in -162*c - 244*c**2 + 162*c. -244*c**2 Collect the terms in -24*o + 0*o - 56*o. -80*o Collect the terms in -2*s**2 - 10*s**2 + 2*s**2 + 2*s**2. -8*s**2 Collect the terms in -317*l - 53*l**2 + 317*l. -53*l**2 Collect the terms in 2 - 29*r - 1 - 1 - 2. -29*r - 2 Collect the terms in -7*n**2 - 32 + 16 + 16. -7*n**2 Collect the terms in 429*k - 431*k + 4 + 0. -2*k + 4 Collect the terms in -6*q**2 - 13*q**2 + 5*q**2. -14*q**2 Collect the terms in -33*s - 56*s + 96*s. 7*s Collect the terms in -31*h**3 + 106*h**3 - 30*h**3 - 23*h**3 - 25*h**3. -3*h**3 Collect the terms in -2 - 5*u**2 - 10 + 12. -5*u**2 Collect the terms in 10*p**2 + 0*p**2 - 2*p**2 + 6*p**2. 14*p**2 Collect the terms in 8381*n - 8381*n + 25*n**2. 25*n**2 Collect the terms in 5 + 4*a - 2*a - 20. 2*a - 15 Collect the terms in 24 - 18*c**2 - 2*c - 24 - 6*c**2. -24*c**2 - 2*c Collect the terms in -3*g**2 + 6*g**2 + 21*g**2 + 4*g**3. 4*g**3 + 24*g**2 Collect the terms in 23153 - 23153 + 2*s. 2*s Collect the terms in -291*d**3 + 9*d**3 - 275*d**3. -557*d**3 Collect the terms in 266*m**2 + 74*m**2 + 41*m**2. 381*m**2 Collect the terms in 21 - 59 + 5*q**3 + 38. 5*q**3 Collect the terms in 14*q + 2*q + 2*q. 18*q Collect
{ "pile_set_name": "DM Mathematics" }
4) - (-1)/(-2). Let m = 4 - v. Let n be (m/14)/(30/14). Sort n, -2/11, -2 in ascending order. -2, -2/11, n Let f = 1 + -4. Suppose u - 5*u = -0*u. Put 4, u, f in decreasing order. 4, u, f Let m = 91 - 75. Put -5, -1, m, -4 in decreasing order. m, -1, -4, -5 Let z = 21.5 + -22. Put 0, z, -3, -4/3 in increasing order. -3, -4/3, z, 0 Let o(t) = -t. Let v be o(-2). Suppose 0 = 2*w + 4*q - 9*q - 2, 0 = w - v*q. Put w, 2, 5 in descending order. 5, 2, w Let o = -43 - -43.2. Sort -0.4, o, 1/4, 0 in ascending order. -0.4, 0, o, 1/4 Let h = 0.71 - 0.76. Sort 0.2, h, -5 in decreasing order. 0.2, h, -5 Let c be (-6)/(-8) - 115/20. Let u(n) = -n**3 + n**2 - 6. Let l be u(0). Let d be (9/l)/(3/8). Put d, c, 4 in decreasing order. 4, d, c Let y be (2 - 1)*(-2)/(-2). Suppose -3*x + 4*q = -y, q = x - q - 1. Let a = -325 + 328. Sort a, -4, x. -4, x, a Let m = 8.2 + 362.8. Let f = m - 367.09. Let q = 0.09 + f. Put -5, q, 0 in increasing order. -5, 0, q Let r = -0.8 - -0.3. Put 1/4, r, 5 in decreasing order. 5, 1/4, r Let p be (0 + 0)*(18/(-4))/9. Sort p, 0.4, -1, -4 in descending order. 0.4, p, -1, -4 Let h = -52.7 + 55. Let m = h + -0.3. Sort 1, 3, m in decreasing order. 3, m, 1 Let o be ((-9)/(-6))/((-31)/4 - -1). Sort 3, -4, o, 2 in decreasing order. 3, 2, o, -4 Suppose r - 8 = 6. Let w = r + -14. Sort w, 3, 2. w, 2, 3 Let z = 0.173 - 0.073. Sort 1.5, z, 0, -1. -1, 0, z, 1.5 Let j = 160 - 160.3. Put 2, 4, j, 0.1 in ascending order. j, 0.1, 2, 4 Let l = -4 - -4. Let p be 2*((2 - l) + -1). Let g = 5 - 8. Sort p, g, 1/2 in descending order. p, 1/2, g Suppose 93*w + 6 = 92*w. Put w, 0, -1, 1 in descending order. 1, 0, -1, w Suppose 10*x - 9 - 21 = 0. Put x, -2, 5, -3 in increasing order. -3, -2, x, 5 Let t = 15 - 15. Let r = 5 + -2. Sort r, t, 0.3 in descending order. r, 0.3, t Let v = 0.21 + -0.51. Sort v, -1/7, 4 in decreasing order. 4, -1/7, v Suppose -s - 3 = 0, 0 = 3*t + 5*s - s + 3. Put t, -3, 2 in ascending order. -3, 2, t Suppose -3 = -t, -5*x + 0*t = t - 13. Sort x, -5, 5 in increasing order. -5, x, 5 Let b(u) = u + 3. Let s(g) = g**3 - 8*g**2 + g - 10. Let h be s(8). Let z = -6 + h. Let w be b(z). Put 3, w, -4 in descending order. 3, -4, w Let j = -10 - -11. Let u be (j/4)/((-5)/10). Put 1/5, -2, u in increasing order. -2, u, 1/5 Let l = 26 - 25. Sort -4, 2, l in ascending order. -4, l, 2 Suppose 5*a = 3*k + 6 + 28, 0 = 4*a - 4*k - 32. Let g be (-3)/(-12)*a*4. Suppose 0*p + p - g = 0. Put 3, -3, p in decreasing order. p, 3, -3 Let w = -136 - -137. Let v be -1 + ((-1285)/(-4))/5. Let n = 63 - v. Put -3, n, w in increasing order. -3, n, w Let a(w) = 3*w - 102. Let t be a(14). Sort 4, t, 5. t, 4, 5 Let s = 13 - 8. Let u(n) = -n**3 + 5*n**2 + 2. Let m be u(s). Put -1, 0.4, m in ascending order. -1, 0.4, m Let w = -7/6 + -1/3. Let q = 65 - 68. Let o be 6/20*(-3)/(-9). Put o, w, q in increasing order. q, w, o Let q = 4 + -4. Let a = q + 4. Sort -1, a, 3/2 in decreasing order. a, 3/2, -1 Let a = -13 + 12.6. Let x = 5.4 + a. Sort x, -0.04, -4 in decreasing order. x, -0.04, -4 Let l be (12/14)/((-1)/(-7)). Let t be (-6)/(-2)*2/l. Let z be (-52)/(-14) - (-8)/28. Sort z, t, -1. -1, t, z Let c be ((-81)/(-6) + -6)*2/10. Let t be (4/(-2))/(8/6). Put 5, t, c in ascending order. t, c, 5 Let x = 83 + -88. Put x, 0, -9 in decreasing order. 0, x, -9 Let h(n) = 2*n - 29. Let w be h(12). Sort 2, -2, 3, w in increasing order. w, -2, 2, 3 Let o = 1 - -3. Let j = 7.9 + -7.6. Put -0.1, o, j in decreasing order. o, j, -0.1 Let m = 21 - 107/5. Sort -5, 2, 0.2, m in descending order. 2, 0.2, m, -5 Let s = 1 - 2. Let m = 1/46 - 99/322. Let f = -1.5 + 1. Sort m, f, s. s, f, m Let u = 3 + -3. Let t = 10 + u. Let q be -5*((-24)/t - -2). Sort -4, q, 1 in descending order. q, 1, -4 Suppose 4*t = 3*t - 2. Sort -3, -4, t. -4, -3, t Let c = -2.09 + 0.09. Sort -5, c, 1/2 in decreasing order. 1/2, c, -5 Let q = -0.29 + 3.29. Let b = 0.2 - -0.3. Sort -1/6, b, q in descending order. q, b, -1/6 Suppose 3*y - 2*x - 4 = -2*y, -4 = y - 2*x. Let u = 0 - 1. Sort -0.2, u, y in ascending order. u, -0.2, y Let h = 13 - 21. Let f be 1/(-6) - (-148)/24. Let a be f/(-24) + (-42)/h. Put -3, a, -4 in increasing order. -4, -3, a Let s = -16 - -12. Let u be (-3 + 14/4)*s. Put u, 1, 4
{ "pile_set_name": "DM Mathematics" }
he second derivative of -11/6*s**4 - 29/30*s**6 - 24*s + 0*s**5 + 0*s**3 + 0*s**2 + 0. What is the third derivative of j(x) wrt x? -696*x Let v(o) = -405*o**2 + 82*o - 15. Let s(p) = 809*p**2 - 166*p + 25. Let y(q) = 3*s(q) + 5*v(q). What is the second derivative of y(u) wrt u? 804 Suppose -54*s = 42*s - 33*s. Let i(p) be the second derivative of 1/2*p**3 + 0*p**4 + 2/5*p**5 + 4*p + s*p**2 + 0. What is the second derivative of i(q) wrt q? 48*q Let p = -907 - -907. Let n(g) be the third derivative of p + 3/8*g**4 - 1/5*g**5 + 7*g**2 + 0*g**3 + 0*g. What is the second derivative of n(l) wrt l? -24 Let o = 24 + -9. What is the first derivative of 4*c - c**2 - 5*c**2 - 4*c - o wrt c? -12*c Suppose 2*c = 5*c - 264. Find the first derivative of 8 + 42*n - c*n + 40*n wrt n. -6 Let j(t) be the third derivative of -t**8/48 + t**7/30 - t**4/6 + t**3/3 - 48*t**2 - 2*t. Find the second derivative of j(f) wrt f. -140*f**3 + 84*f**2 Let k(l) be the third derivative of 0*l**6 + 0 - 14*l**2 + 0*l**5 + 0*l**4 + 2/105*l**7 + 0*l + 1/3*l**3. Differentiate k(f) with respect to f. 16*f**3 Let b(o) be the third derivative of 0*o**5 + 0*o + 1/2*o**4 + 0*o**6 + 1/168*o**8 + 0 + 0*o**7 + 0*o**3 - 11*o**2. What is the second derivative of b(j) wrt j? 40*j**3 Let w(q) be the first derivative of -71*q**6/6 + q**3 - 4*q**2 - 33. What is the third derivative of w(v) wrt v? -4260*v**2 Let a(g) = -921*g**2 + 952*g - 4. Let n(l) = 3672*l**2 - 3808*l + 15. Let m(q) = 15*a(q) + 4*n(q). Find the second derivative of m(o) wrt o. 1746 Find the second derivative of -1 - 9*n - 245*n**3 + 192*n**3 + 1 wrt n. -318*n Let n(h) be the first derivative of 13*h**7/105 - 7*h**3/3 - 3*h**2 + 6. Let r(z) be the second derivative of n(z). Differentiate r(m) with respect to m. 104*m**3 What is the second derivative of -520*d**3 + 134*d + 157*d - 96*d**3 + 76*d - 128*d**3 wrt d? -4464*d Let v(w) = -w. Let b be v(-4). Let h = -17 + 20. What is the third derivative of -2*g**3 + 2*g**2 + 2*g**3 + b*g**h - 6*g**2 wrt g? 24 Let l = -5 + 10. Suppose 0 = 3*k - 3*b - 24, -l*k + 0*b = b - 22. What is the third derivative of d**4 + k*d**3 + 6*d**2 - 3*d**4 - 5*d**3 wrt d? -48*d What is the third derivative of -6*x**2 + 16 + 506*x**4 + 270*x**5 + 27 - 506*x**4 wrt x? 16200*x**2 Let m(a) be the third derivative of 0*a**6 + 0 + 1/105*a**7 - 5/3*a**3 + 15*a**2 + 0*a**5 + 0*a**4 + 0*a. Differentiate m(i) with respect to i. 8*i**3 Find the third derivative of -79*i**2 - 17*i**4 - 48*i**2 + 17*i**4 - 16*i**6 wrt i. -1920*i**3 Let w(n) = -72*n**4 + 3*n**3 + 38*n**2 + 3. Let u(g) = -145*g**4 + 5*g**3 + 75*g**2 + 5. Let d(i) = 3*u(i) - 5*w(i). Find the third derivative of d(s) wrt s. -1800*s Let f(j) = 11*j**3 - 4*j**2 + 69. Let h(r) = -13*r**3 + 5*r**2 - r - 68. Let b(a) = 5*f(a) + 4*h(a). Differentiate b(y) wrt y. 9*y**2 - 4 Suppose 12*c - 440 = -416. Let s(n) be the first derivative of 2*n**3 + 0*n + 3 + 1/2*n**c. What is the second derivative of s(z) wrt z? 12 Let r(z) = 2*z**2 - 3*z - 28. Let x be r(6). Find the second derivative of 21*k**2 - 20*k + x*k + 21*k wrt k. 42 Let z(j) = j**4 + j**3 + j**2 - 2. Let o(v) = -8*v**4 - 156*v**3 - 11*v**2 - 16*v + 12. Let n(b) = -o(b) - 6*z(b). Find the third derivative of n(w) wrt w. 48*w + 900 Suppose -9 + 17 = 4*p. Find the third derivative of 27*g**5 + 3*g**4 + p*g**2 - 3*g**4 - 32*g**5 wrt g. -300*g**2 Let l(q) = 37 + q**3 + q - 2*q**3 + q**2 - 38. Let s(m) = -32*m**3 + 4*m**2 + 12*m - 12. Let j(y) = -12*l(y) + s(y). What is the third derivative of j(d) wrt d? -120 Let u(v) be the first derivative of 89*v**4/4 - 2*v**3/3 - 85*v**2/2 - 326. What is the second derivative of u(t) wrt t? 534*t - 4 Let w(g) = -7*g**2 + 95*g - 326. Let q(o) = -6*o**2 + 85*o - 325. Let c(p) = -6*q(p) + 5*w(p). What is the first derivative of c(u) wrt u? 2*u - 35 Let i(w) = -2*w**2 + w + 3. Let h(y) = 7*y**2 + 3*y - 17. Let j(x) = -h(x) - 6*i(x). What is the first derivative of j(c) wrt c? 10*c - 9 Let j = 222 - 219. Let f = 2 + 0. Find the third derivative of -2*x**2 + 0*x**f - x**3 + 2*x**j wrt x. 6 Let w(q) be the third derivative of -3*q**2 - 7/3*q**3 + 0*q + 0 + 5/24*q**4. Differentiate w(c) with respect to c. 5 Let d = 54 - 43. What is the third derivative of -29 + 29 - 31*p**5 + d*p**2 wrt p? -1860*p**2 Find the second derivative of 36 - 90 + 115*y**4 + 27 + 27 + 157*y wrt y.
{ "pile_set_name": "DM Mathematics" }
qrt(171)))))*-2)**2. -8323200 - 22464*sqrt(19) Simplify 2*sqrt(42)/(sqrt(216)/sqrt(4)) + 3*1*sqrt(448)*-2. -142*sqrt(7)/3 Simplify 2 + (-1 + (sqrt(72) + 0 + sqrt(72) - sqrt(72)) + -2 - (2 + sqrt(72) + 1 + -1))**2 + -5. 22 Simplify (-4 + 3 + sqrt(1539)*-1 + -5*(sqrt(1539) + 0) + 6*((sqrt(1539) - (sqrt(1539) + 2*sqrt(1539) + -5)) + sqrt(1539)) + 5)**2. -7344*sqrt(19) + 222772 Simplify -1*6*(((2*sqrt(300) - sqrt(300))/sqrt(12))/((-4*sqrt(25))/sqrt(5)) + -3)*4. 6*sqrt(5) + 72 Simplify ((5*sqrt(120)*-1)/(3*sqrt(90) - sqrt(10)))/(sqrt(4) + -2*sqrt(324) - sqrt(100)*1). 5*sqrt(3)/176 Simplify (3*(sqrt(704) - (-1*2*sqrt(704) + sqrt(704)) - sqrt(704) - (sqrt(264)/sqrt(6) + 1 + -3)))**2. 216*sqrt(11) + 3600 Simplify (-4*((sqrt(6292) - (sqrt(6292) + 1 + sqrt(6292))*6 - sqrt(6292) - (-1 + 0 + sqrt(6292))) + (-2*sqrt(6292)*5 - 4*sqrt(6292)*-1)))**2. 66880*sqrt(13) + 36342992 Simplify (sqrt(216)/sqrt(8))/sqrt(9) + ((sqrt(3) - (0 + sqrt(243))) + sqrt(3))**2 + -2 + 2 + sqrt(6)/(-1*sqrt(2)). 147 Simplify ((sqrt(1152) - (sqrt(1152) - (sqrt(1152) - (sqrt(1152)*2 + sqrt(1152))))) + 4*sqrt(36)/sqrt(2))/((6*-1*sqrt(600) + sqrt(600))*2). 3*sqrt(3)/25 Simplify 4 + ((-2 + sqrt(1300))*5)**2 - (-5*-1*sqrt(78))/(sqrt(42)/(sqrt(28)/sqrt(4))). -1005*sqrt(13) + 32604 Simplify 2*(-6*((-1 + sqrt(432) - sqrt(432)) + sqrt(432))*4 - (sqrt(432) + sqrt(432) + sqrt(432) + 1 + 5 + (1 + sqrt(432))*3))**2*2. -43200*sqrt(3) + 1556100 Simplify 6*(2*(-2*sqrt(80) + -2)**2 + 3*sqrt(80)*3 + -2). 600*sqrt(5) + 3876 Simplify ((sqrt(108)*-2)/((sqrt(24)/sqrt(2))/sqrt(2) + sqrt(6)))**2 + ((sqrt(90)*1 - sqrt(90))/sqrt(5))/(sqrt(9) - (1*sqrt(18)/sqrt(2) + sqrt(9))). 18 Simplify (3 + 5 + (sqrt(13) - ((sqrt(13) - sqrt(52)) + sqrt(13)))*2 + -2 + (-1*(sqrt(13)*-1 + 0 + sqrt(13)))**2 + -5)*2. 2 + 4*sqrt(13) Simplify (-2*sqrt(6300)*2)**2 + (sqrt(6300)*1 - sqrt(6300))**2 + 5 - ((sqrt(6300) + sqrt(6300) + (sqrt(6300) - -3*sqrt(6300)) + -1)**2 + 3). -125999 + 360*sqrt(7) Simplify ((sqrt(21) + 2*sqrt(189) + (sqrt(189)/sqrt(3))/sqrt(3))/(sqrt(18)/sqrt(96) - (sqrt(363) - sqrt(363)*-2)))**2. 7168/17161 Simplify 4 + (5*(((sqrt(1331) + 0)*-5 + -2 + 0 + sqrt(1331))*5 + 3) + 1)**2. 74800*sqrt(11) + 13311160 Simplify 5 + (1*sqrt(76) + 4)**2*-2 - (1 + ((sqrt(76)*-2 - sqrt(76))**2 - sqrt(76) - sqrt(76))*-4)*-6. -16589 + 64*sqrt(19) Simplify (2*(-3 + ((sqrt(176) + 1*sqrt(176) - sqrt(176))*1 + 1*sqrt(176) + 3 - (sqrt(88)/(sqrt(200) - sqrt(8)) - sqrt(176)*-2))))**2. 11/4 Simplify (1 + 2 + sqrt(300) + sqrt(300) + 0 + (1*sqrt(300)*-1 + sqrt(300) - sqrt(300) - (4 + sqrt(300) + 0 + sqrt(300))))**2*-3. -903 - 60*sqrt(3) Simplify (6*5*sqrt(336)*-1)/(-5*((-1*sqrt(189) + sqrt(189) - sqrt(189))/sqrt(7))/sqrt(9)). -24*sqrt(7) Simplify ((sqrt(225)/sqrt(45) + sqrt(2880)*-1)**2 + sqrt(3645) + ((3 + sqrt(3645) + -1 - sqrt(3645)) + sqrt(3645) - sqrt(3645)))*-5 + 4 + -3. -13234 - 135*sqrt(5) Simplify (sqrt(567) + 1*sqrt(567) + 5 + sqrt(567) + sqrt(567) + 0 + sqrt(567) + 5)**2 - (5*sqrt(567)*-2*-5 + -2). 450*sqrt(7) + 14277 Simplify (-3*(((sqrt(114) - (sqrt(114) - -2*sqrt(114) - sqrt(114)))*-4 - sqrt(114))*-3)/((sqrt(24) + (sqrt(384)*-5 - sqrt(24)))/sqrt(4)))**2*-1. -13851/400 Simplify 4*(-4 + (-2*(sqrt(1216)*3*6)**2 - ((sqrt(1216)*1 - sqrt(1216)) + 5)**2*-6) + -2). -3151296 Simplify -2 + ((-3 + (sqrt(98) - 2*sqrt(98)) + (sqrt(98) - (5 + sqrt(98) + sqrt(98) + 1)) + -5)*-4 + -3 + 3)**2. 6272*sqrt(2) + 9406 Simplify -5*((3 + (sqrt(75) + (1 + sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)))*3)**2 + 3 - (-3*(5 + (sqrt(75)*1)**2) + 3)). -31755 - 2700*sqrt(3) Simplify 3 + (-2*(sqrt(175) + (-2 + sqrt(175))**2) + (sqrt(7) - (sqrt(140)/sqrt(5))/sqrt(4)) + (1 + sqrt(175))**2)*3. -543 + 120*sqrt(7) Simplify (-3*(sqrt(152) - -1*sqrt(152)) - (4*(sqrt(152)*-2 - sqrt(152) - sqrt(152)) + sqrt(152)))/(sqrt(200) - (sqrt(200) - (1*1*sqrt(200) + sqrt(200)))). 9*sqrt(19)/10 Simplify -2 + (sqrt(450) + (sqrt(450)*3*-6 - sqrt(450)) + 2*(sqrt(450) - -3*sqrt(450)) + sqrt(450))/(sqrt(36) + (sqrt(576) - sqrt(576)*1)). -45*sqrt(2)/2 - 2 Simplify (2 + 1 + sqrt(272) + 0 + sqrt(272)*2)**2 - 4*((-3 + sqrt(272) + -4 - sqrt(272))**2 + 0). 72*sqrt(17) + 2261 Simplify ((5*sqrt(91)*-1 + sqrt(91))/(4*sqrt(35)/sqrt(5)) + (sqrt(65) + (sqrt(65) - (4*sqrt(65) - sqrt(65) - sqrt(65))))/sqrt(5)*3 + -3)**2. 6*sqrt(13) + 22 Simplify ((2 + 0 + -2 + (sqrt(39)/(3*sqrt(3)) - ((sqrt(13) - (sqrt(13) + sqrt(78)/sqrt(6)))*-5 + sqrt(13))))*3)**2. 3757 Simplify ((1*sqrt(76)*3)/(-
{ "pile_set_name": "DM Mathematics" }
q? 1/15 What is prob of picking 2 s when two letters picked without replacement from {d: 14, s: 4}? 2/51 What is prob of picking 2 e and 1 x when three letters picked without replacement from {e: 4, c: 5, x: 1, v: 5}? 6/455 Three letters picked without replacement from ggggtghdtgtd. What is prob of picking 2 d and 1 h? 1/220 Calculate prob of picking 2 d when two letters picked without replacement from idigiaigiggid. 1/78 Calculate prob of picking 1 u, 1 b, and 1 g when three letters picked without replacement from gbuuggeueeeuee. 3/91 What is prob of picking 2 r when two letters picked without replacement from {r: 5, s: 9}? 10/91 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {i: 1, r: 3, a: 2, b: 4, f: 1}. 2/55 What is prob of picking 1 l and 1 v when two letters picked without replacement from lllllvllllll? 1/6 Two letters picked without replacement from kkokwquuuqqppupw. Give prob of picking 1 o and 1 q. 1/40 Two letters picked without replacement from bvxvf. What is prob of picking 1 v and 1 x? 1/5 Two letters picked without replacement from iuuxxppsxxxp. Give prob of picking 1 s and 1 i. 1/66 Calculate prob of picking 1 x and 2 g when three letters picked without replacement from xxmkxgggik. 3/40 What is prob of picking 1 m and 2 h when three letters picked without replacement from mmmhmhhhmmhhmh? 21/52 Four letters picked without replacement from muuooho. Give prob of picking 1 o, 1 h, 1 u, and 1 m. 6/35 What is prob of picking 1 c and 1 g when two letters picked without replacement from ccgcccgzz? 5/18 Calculate prob of picking 4 w when four letters picked without replacement from whwwwwhwwwwh. 14/55 Calculate prob of picking 2 h, 1 y, and 1 g when four letters picked without replacement from hyfyvgf. 0 Three letters picked without replacement from mmgllgmzgl. What is prob of picking 3 g? 1/120 Two letters picked without replacement from {p: 1, w: 1, f: 1, o: 2, d: 1, v: 1}. What is prob of picking 1 d and 1 v? 1/21 Four letters picked without replacement from lptjtjjljjljl. What is prob of picking 2 l and 2 j? 18/143 Two letters picked without replacement from {z: 6, i: 3, u: 6}. Give prob of picking 1 i and 1 z. 6/35 Two letters picked without replacement from {j: 2, m: 1, k: 2}. What is prob of picking 1 k and 1 m? 1/5 Four letters picked without replacement from vfheh. What is prob of picking 2 h, 1 v, and 1 f? 1/5 What is prob of picking 1 u, 1 f, and 1 p when three letters picked without replacement from fupwttpupwfut? 9/143 Calculate prob of picking 2 n when two letters picked without replacement from {x: 2, n: 4, y: 5}. 6/55 What is prob of picking 1 k and 1 f when two letters picked without replacement from ffkybyykfffyffkw? 7/40 Four letters picked without replacement from {t: 17, z: 2}. What is prob of picking 1 z and 3 t? 20/57 Two letters picked without replacement from ggxxtujuxxxuug. Give prob of picking 1 t and 1 u. 4/91 Two letters picked without replacement from uucccuuu. What is prob of picking 2 c? 3/28 Three letters picked without replacement from {v: 5, i: 2, l: 2, k: 3, h: 6}. What is prob of picking 2 k and 1 i? 1/136 Calculate prob of picking 2 w and 1 r when three letters picked without replacement from iwjkwrq. 1/35 What is prob of picking 1 f and 3 l when four letters picked without replacement from hlflfffwll? 8/105 Calculate prob of picking 1 w, 1 n, and 1 u when three letters picked without replacement from {o: 1, u: 3, n: 4, w: 4, a: 1}. 24/143 Calculate prob of picking 1 h, 1 c, and 2 t when four letters picked without replacement from hhhhttchhtt. 6/55 What is prob of picking 2 h and 2 d when four letters picked without replacement from {d: 2, i: 14, h: 2, f: 1}? 1/3876 Calculate prob of picking 1 o, 1 j, 1 d, and 1 n when four letters picked without replacement from doeoyojyndd. 3/110 Four letters picked without replacement from {j: 1, v: 9, y: 5, p: 5}. What is prob of picking 1 y and 3 v? 28/323 Calculate prob of picking 2 a and 2 u when four letters picked without replacement from {u: 11, a: 3}. 15/91 What is prob of picking 1 i, 1 h, 1 u, and 1 j when four letters picked without replacement from uuoihuojroj? 1/55 Four letters picked without replacement from rrrrrrrdrrrrrrr. Give prob of picking 4 r. 11/15 What is prob of picking 2 m when two letters picked without replacement from cycyrcamybbcmcy? 1/105 Three letters picked without replacement from {o: 4, m: 1, j: 1, p: 6, l: 4, b: 2}. Give prob of picking 2 l and 1 j. 1/136 Four letters picked without replacement from {r: 2, s: 2, b: 4}. What is prob of picking 2 b and 2 s? 3/35 What is prob of picking 1 f, 1 y, and 1 v when three letters picked without replacement from fjvfyyfyyfffvfyfjjf? 30/323 Three letters picked without replacement from {q: 7, p: 5, l: 4}. Give prob of picking 1 q and 2 l. 3/40 Four letters picked without replacement from {e: 4, t: 10, h: 1, d: 3}. Give prob of picking 1 h and 3 e. 1/765 Two letters picked without replacement from {w: 1, p: 1, t: 1}. Give prob of picking 1 w and 1 p. 1/3 What is prob of picking 4 o when four letters picked without replacement from {v: 2, i: 1, o: 1, m: 3}? 0 What is prob of picking 1 w and 3 i when four letters picked without replacement from kiwkkiikkikki? 2/143 Calculate prob of picking 1 i and 1 v when two letters picked without replacement from uikveui. 2/21 What is prob of picking 3 c when three letters picked without replacement from {g: 1, f: 6, b: 1, v: 1, c: 4, s: 3}? 1/140 What is prob of picking 2 z and 1 a when three letters picked without replacement from apazaazpttztptttzt? 1/34 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 8, m: 3}. 24/55 Three letters picked without replacement from kkffkxkkknfaknxka. What is prob of picking 1 n, 1 k, and 1 f? 6/85 Four letters picked without replacement from {w: 8, q: 3}. What is prob of picking 2 q and 2 w? 14/55 Four letters picked without replacement from {b: 5, c: 4, t: 3}. What is prob of picking 3 b and 1 c? 8/99 Three letters picked without replacement from kkpqpqkq. What is prob of picking 1 p and 2 k? 3/28 Three letters picked without replacement from xzenn. Give prob of picking 1 z, 1 e, and 1 n. 1/5 Four letters picked without replacement from {l: 5, b: 14}. Give prob of picking 4 b. 1001/3876 What is prob of picking 2 x when two letters picked without replacement from xiix? 1/6 Two letters picked without replacement from {c: 2, n: 1, f: 1, r: 1, a: 1, t: 1}. Give prob of picking 1 t and 1 n. 1/21 Two letters picked without replacement from zzolprpi. Give prob of picking 1 i and 1 z. 1/14 Calculate prob of picking 2 r when two letters picked without replacement from {x: 2, r: 4}. 2
{ "pile_set_name": "DM Mathematics" }
ctor -4*p**2 + 49464*p + 445500. -4*(p - 12375)*(p + 9) Factor q**2 + 144*q + 959. (q + 7)*(q + 137) Let -15*l**3/2 - 1026*l**2 + 4194*l - 4224 = 0. What is l? -704/5, 2 Factor 150*n**2 + 9429*n - 1323. 3*(n + 63)*(50*n - 7) Solve -4*q**4 + 152*q**3 - 416*q**2 - 152*q + 420 = 0. -1, 1, 3, 35 Factor -2*o**3 - 3910*o**2 - 1916864*o - 5715456. -2*(o + 3)*(o + 976)**2 Factor 2*x**3 - 194*x**2/3 - 44*x. 2*x*(x - 33)*(3*x + 2)/3 Factor 2*u**3 + 464*u**2 - 52126*u + 51660. 2*(u - 82)*(u - 1)*(u + 315) Factor -4*c**2/7 + 127592*c/7. -4*c*(c - 31898)/7 Solve 2*x**4 + 660*x**3 - 29114*x**2 + 179028*x - 293040 = 0. -370, 3, 4, 33 Determine j so that 3*j**3/5 + 286539*j**2/5 + 573069*j/5 + 286533/5 = 0. -95511, -1 Factor 4*y**3 + 9532*y**2 + 5711904*y + 39517632. 4*(y + 7)*(y + 1188)**2 Factor 2*y**3/9 - 36052*y**2/9 + 36050*y/9. 2*y*(y - 18025)*(y - 1)/9 Let -9*d**5/2 - 39*d**4 + 603*d**3/2 + 1686*d**2 - 7074*d + 2160 = 0. Calculate d. -10, -8, 1/3, 3, 6 What is i in i**4 + 1263*i**3 + 38416*i**2 + 275712*i - 315392 = 0? -1232, -16, 1 Factor 5*a**3 + 4040*a**2 + 824100*a + 3232080. 5*(a + 4)*(a + 402)**2 Let 3*p**5/4 + 81*p**4/2 - 9111*p**3/2 - 253620*p**2 + 2082963*p/4 - 525213/2 = 0. Calculate p. -67, 1, 78 Find d, given that 5*d**3 + 43540*d**2 - 5*d - 43540 = 0. -8708, -1, 1 What is p in -p**5/3 + p**4 + 11*p**3/3 - 5*p**2 - 46*p/3 - 8 = 0? -2, -1, 3, 4 Suppose 4*u**5 + 104*u**4 + 280*u**3 + 80*u**2 - 284*u - 184 = 0. Calculate u. -23, -2, -1, 1 Suppose -2*p**3 - 5790*p**2 - 11572*p = 0. What is p? -2893, -2, 0 Find u, given that -5*u**4/4 + 425*u**3/2 + 12125*u**2/4 - 21125*u/2 + 7320 = 0. -16, 1, 2, 183 Suppose 20891648*w**4/9 + 1044595328*w**3/9 + 4352642134*w**2/3 + 8080100*w/9 + 1250/9 = 0. What is w? -25, -1/3232 Determine p, given that 4*p**4 - 18064*p**3 + 144320*p**2 - 288512*p = 0. 0, 4, 4508 Factor 784*v**4 + 15707720*v**3 + 78684176617*v**2 + 67434924930*v + 14449722849. (4*v + 40069)**2*(7*v + 3)**2 Factor m**4/2 - 394*m**3 - 791*m**2/2 + 789*m. m*(m - 789)*(m - 1)*(m + 2)/2 Suppose 5*t**4 - 9920*t**3 - 129630*t**2 - 349720*t + 489265 = 0. What is t? -7, 1, 1997 Find x such that 7*x**4/8 + 47*x**3 - 115*x**2/8 - 47*x + 27/2 = 0. -54, -1, 2/7, 1 Factor o**4/4 - 17*o**3/2 - 273*o**2 - 1910*o - 2800. (o - 56)*(o + 2)*(o + 10)**2/4 Factor 4*z**3 - 15504*z**2 - 46540*z - 31032. 4*(z - 3879)*(z + 1)*(z + 2) Solve -4*i**4/3 - 430*i**3/9 - 84*i**2 - 30*i + 68/9 = 0. -34, -1, 1/6 Let 3*b**2 + 30288*b + 121104 = 0. What is b? -10092, -4 Factor 4*o**4 + 5484*o**3 + 2679924*o**2 + 534407684*o + 33543386904. 4*(o + 114)*(o + 419)**3 Factor -2*o**3 - 123696*o**2 + 247400*o. -2*o*(o - 2)*(o + 61850) Suppose -2*s**5/5 + 2814*s**4/5 + 8*s**3/5 - 11256*s**2/5 = 0. What is s? -2, 0, 2, 1407 Factor -2*m**5 - 9084*m**4 - 13734960*m**3 - 6885574976*m**2 + 41809873152*m. -2*m*(m - 6)*(m + 1516)**3 Factor -l**3/5 + 4212*l**2/5 + 9287*l + 76014/5. -(l - 4223)*(l + 2)*(l + 9)/5 Factor -3*y**3/7 + 96*y**2/7 + 132*y/7 - 17424/7. -3*(y - 22)**2*(y + 12)/7 Factor a**3/7 + 3598*a**2 + 125911*a/7 + 151086/7. (a + 2)*(a + 3)*(a + 25181)/7 Determine k so that -4*k**5 + 52*k**4 + 420*k**3 + 684*k**2 = 0. -3, 0, 19 Find y such that -5*y**2 - 10121340*y - 5122076169780 = 0. -1012134 Solve l**2 + 115*l - 2096 = 0 for l. -131, 16 Factor -i**2/3 - 4739*i. -i*(i + 14217)/3 Find v, given that -v**3/3 + 2353*v**2/3 - 1415371*v/3 + 12173121 = 0. 27, 1163 Factor -s**2/6 + 1333*s/3 - 5324/3. -(s - 2662)*(s - 4)/6 Suppose 3*i**3/5 + 1296*i**2/5 - 3*i/5 - 1296/5 = 0. Calculate i. -432, -1, 1 Factor 4*m**3 - 7652*m**2 - 4*m + 7652. 4*(m - 1913)*(m - 1)*(m + 1) Factor n**2/5 + 2246*n - 33735. (n - 15)*(n + 11245)/5 Suppose 4*x**5 + 452*x**4 - 916*x**3 + 460*x**2 = 0. Calculate x. -115, 0, 1 Factor -r**4/4 - 93*r**3 - 42453*r**2/4 - 768
{ "pile_set_name": "DM Mathematics" }
1. Let g(p) = -d(p) - z(p). What is g(b(w))? -4*w**2 Let l = 1 + -1. Let n(w) = 0*w + l*w - 2*w**2. Let d(t) = -3*t + t**2 + 3*t. What is d(n(v))? 4*v**4 Let j(y) = -2*y**2 + 9*y. Let q(z) = -479*z. Determine q(j(a)). 958*a**2 - 4311*a Let f(o) = 4*o**2 - 5*o. Let c(y) = -12*y**2 + 16*y. Let k(j) = -5*c(j) - 16*f(j). Let b(x) be the first derivative of 5*x**3/3 + 93. Determine k(b(a)). -100*a**4 Let x(d) = 2*d. Let q = -22 - -76. Let l = -37 + q. Let j(g) = g + g - l + 17. Determine x(j(u)). 4*u Let t(f) be the second derivative of 0 + 1/8*f**4 - 3*f + 0*f**3 + f**2. Let o(h) be the first derivative of t(h). Let m(k) = -2*k. What is o(m(w))? -6*w Suppose -2*c = 3*w - c - 55, 4*c = -5*w + 94. Suppose 3*p = 4*g - 0*p - w, -g - 2*p = 1. Let x(h) = 3 + 0 - g + 2*h**2. Let y(n) = 2*n**2. What is x(y(r))? 8*r**4 Let b(h) = -3*h**2. Let n(j) = j**3 - 19*j**2 - 2*j + 39. Let p be n(19). Let r(t) be the first derivative of 0*t + 3/2*t**2 - p. Calculate b(r(c)). -27*c**2 Let a(w) = -112*w + 56*w + 54*w. Let f(i) = 12*i**2 - 2 + 2. Determine a(f(s)). -24*s**2 Let l(r) = 19*r**2 + 6*r. Let k(n) = n**2 + n. Let i(u) = -6*k(u) + l(u). Let h(z) = 2*z**2. Determine h(i(s)). 338*s**4 Let y(p) = -p. Let v(j) = -475*j. Determine y(v(o)). 475*o Let c(l) = 2*l**2. Let o(a) = 29 - 9*a**2 - 11 - 18. Give o(c(y)). -36*y**4 Let t(k) = -k**2. Let b(o) = -o + 4*o - 2*o. Determine b(t(m)). -m**2 Let d(w) = -w. Suppose -4*b - p + 8 + 3 = 0, 5*p + 8 = b. Let n(x) = 5*x - b*x - 6*x. Determine n(d(c)). 4*c Let g(t) be the first derivative of -t**3/3 + 1. Let c(k) = -61*k. Give c(g(z)). 61*z**2 Let r(v) = 38*v. Let o(p) = 7*p. Calculate r(o(n)). 266*n Let j(q) = 2*q**2 + 9*q + 9. Let x(z) = z**2 + 4*z + 4. Let n(o) = -4*j(o) + 9*x(o). Let p(b) = -2*b**2 + b**2 - b**2. Determine p(n(r)). -2*r**4 Let x(y) = 3*y. Let h(w) = 140*w**2. What is x(h(n))? 420*n**2 Let h(n) be the second derivative of n**3/3 - 57*n. Let i(r) = 0 + 0 + 2*r**2. Give h(i(f)). 4*f**2 Let d(i) = 4 + 6 + 20*i - 10. Let b(l) = 2*l. Give d(b(k)). 40*k Let j(o) = 10*o**2 - 5. Let v(z) = 12*z. Calculate v(j(k)). 120*k**2 - 60 Let d(t) = 592*t. Let p(h) = -2*h**2. Determine p(d(z)). -700928*z**2 Let u(r) = 14*r**2 - 8. Let g(k) = k**2 - 1. Let f be (-2 - (-6 - -3)) + -2. Let j(y) = f*u(y) + 8*g(y). Let c(l) = -1 + 2*l**2 + 1. Determine c(j(w)). 72*w**4 Let r(a) = -70*a**2. Let o(w) = 2*w**2. Calculate o(r(t)). 9800*t**4 Let m(u) = -5 + 5 + 6*u**2 + 0. Let s(v) = -3*v**2. Calculate s(m(l)). -108*l**4 Let f(y) = -12*y**2 - 7*y**2 - 4*y**2 - 8*y**2. Let b(r) = -3*r**2. Determine f(b(d)). -279*d**4 Let h(f) = 2*f**2. Let v(b) = 3*b**2 - 6*b - 6. Let q(l) = -l**2 + l + 1. Suppose 0 = 5*y + 1 + 4. Let d(w) = y*v(w) - 6*q(w). Calculate h(d(s)). 18*s**4 Let u(z) = 2*z + 0 + 0. Let v(s) = -9*s**2. Give v(u(f)). -36*f**2 Let u(h) = 4*h**2 + 2*h + 2. Let n(g) = g + g + 1 - g + 0*g. Let t(o) = -2*n(o) + u(o). Let s(c) = -3*c. What is t(s(y))? 36*y**2 Let b(v) = -v. Let z(d) = 18*d**2 - 14*d. Let k(p) = -p**2 + p. Let f(c) = -28*k(c) - 2*z(c). What is b(f(w))? 8*w**2 Let z(k) = k. Let m(o) = -11*o**2 - 12*o. What is z(m(w))? -11*w**2 - 12*w Let f(g) = 6*g**2 - 3*g. Let d(u) = 11*u**2 - 5*u. Let n(t) = -3*d(t) + 5*f(t). Let p(a) = -a**2. What is p(n(r))? -9*r**4 Let q(d) = -572*d. Let l(p) = -25*p**2. Give q(l(r)). 14300*r**2 Let q(n) = -5*n. Let s(u) = -7*u**2. Give q(s(l)). 35*l**2 Suppose w + 15 = -4*w. Let g(f) = 8*f + 3. Let n(o) = 55*o + 20. Let k(y) = w*n(y) + 20*g(y). Let u(i) = -i**2. Calculate u(k(l)). -25*l**2 Let b(d) = 3*d**2. Suppose -5*t + 2*t + 16 = 4*v, 16 = t + 4*v. Let y = 1 +
{ "pile_set_name": "DM Mathematics" }
6? 14 What is the highest common divisor of 888 and 3504? 24 Calculate the highest common divisor of 12704 and 368. 16 What is the greatest common divisor of 1044 and 34674? 6 What is the highest common factor of 6674 and 639? 71 Calculate the greatest common factor of 22341 and 66. 33 Calculate the greatest common divisor of 390445 and 2290. 1145 Calculate the greatest common divisor of 6 and 8805. 3 Calculate the greatest common factor of 296 and 6253. 37 Calculate the greatest common factor of 975 and 291200. 325 What is the highest common factor of 206880 and 960? 480 What is the highest common factor of 7917 and 1517802? 1131 What is the greatest common factor of 7291 and 3266? 23 Calculate the highest common divisor of 21600 and 1017. 9 Calculate the highest common factor of 223340 and 65. 65 Calculate the greatest common factor of 190 and 1060485. 95 Calculate the greatest common divisor of 619208 and 174. 58 Calculate the highest common divisor of 49 and 106624. 49 Calculate the highest common factor of 8575 and 119021. 343 What is the greatest common divisor of 872702 and 326? 326 What is the greatest common factor of 2880 and 7515? 45 Calculate the greatest common divisor of 3682 and 77. 7 What is the highest common factor of 62496 and 3224? 248 Calculate the highest common divisor of 23575 and 14720. 115 What is the greatest common divisor of 210 and 2619330? 210 What is the highest common divisor of 335496 and 12? 12 Calculate the greatest common divisor of 41830 and 50. 10 What is the greatest common factor of 95 and 320055? 95 Calculate the greatest common factor of 111 and 11876223. 111 Calculate the greatest common factor of 8672 and 78319. 271 What is the greatest common divisor of 67284 and 10413? 801 What is the greatest common factor of 6750 and 342? 18 What is the highest common factor of 575 and 437? 23 Calculate the greatest common divisor of 6403 and 817. 19 What is the highest common divisor of 50 and 1340825? 25 Calculate the greatest common factor of 45 and 363105. 45 What is the greatest common factor of 1584684 and 6432? 804 What is the highest common factor of 19564 and 584? 292 Calculate the greatest common factor of 898437 and 3. 3 What is the greatest common factor of 263004 and 196? 28 What is the highest common factor of 24 and 602166? 6 What is the greatest common factor of 24678 and 3456? 54 What is the highest common divisor of 37627 and 191? 191 Calculate the highest common divisor of 19131 and 763. 7 Calculate the greatest common factor of 16655 and 30. 5 What is the greatest common factor of 57 and 3207? 3 What is the greatest common divisor of 148338 and 492? 246 What is the highest common divisor of 766636 and 460? 92 What is the highest common divisor of 9219 and 63? 21 What is the highest common divisor of 965310 and 24? 6 Calculate the greatest common factor of 366543 and 117. 9 Calculate the greatest common factor of 56816 and 24. 8 What is the greatest common factor of 378 and 1868076? 378 Calculate the greatest common factor of 717 and 1637867. 239 Calculate the greatest common factor of 2749896 and 4. 4 Calculate the highest common factor of 72 and 10664. 8 What is the highest common factor of 1580 and 1500? 20 Calculate the highest common factor of 224 and 66892. 28 Calculate the highest common divisor of 49 and 10745. 7 What is the highest common divisor of 896 and 480? 32 Calculate the greatest common divisor of 133 and 49399. 7 What is the greatest common factor of 282 and 392121? 141 Calculate the highest common divisor of 3354 and 2451. 129 What is the highest common factor of 1808 and 496522? 226 Calculate the greatest common divisor of 172 and 220461. 43 Calculate the highest common factor of 891 and 220. 11 Calculate the greatest common divisor of 1397 and 201041. 127 What is the greatest common divisor of 26400 and 21840? 240 What is the greatest common divisor of 26 and 194896? 26 Calculate the highest common divisor of 182 and 1175902. 182 Calculate the greatest common factor of 575380 and 520. 260 Calculate the highest common divisor of 152409 and 26967. 303 Calculate the highest common factor of 16021 and 30743. 433 What is the highest common factor of 170 and 364072? 34 Calculate the highest common divisor of 20 and 6415. 5 Calculate the greatest common factor of 272782 and 142. 142 Calculate the highest common factor of 14101 and 26432. 59 Calculate the greatest common factor of 4379 and 79577. 151 Calculate the greatest common factor of 14021 and 63. 7 What is the highest common factor of 3910 and 697360? 230 What is the highest common divisor of 225 and 98415? 45 Calculate the highest common divisor of 52458 and 126. 42 What is the highest common divisor of 56559 and 459? 51 What is the highest common divisor of 179 and 5871916? 179 Calculate the highest common divisor of 7954 and 4264. 82 What is the greatest common factor of 552 and 673256? 184 Calculate the greatest common factor of 1044 and 164. 4 What is the greatest common divisor of 37 and 1339992? 37 Calculate the greatest common divisor of 590440 and 2320. 1160 What is the highest common factor of 69 and 26031? 3 What is the highest common divisor of 184583 and 931? 49 Calculate the highest common divisor of 1044 and 306472. 116 What is the highest common factor of 450 and 89700? 150 What is the highest common divisor of 24892 and 2540? 508 Calculate the highest common divisor of 46001 and 785. 157 Calculate the greatest common factor of 300 and 145900. 100 What is the highest common factor of 379368 and 3? 3 What is the greatest common factor of 1045 and 670263? 209 What is the greatest common factor of 867 and 185691? 51 What is the greatest common divisor of 1846 and 1378? 26 Calculate the greatest common divisor of 165394 and 82. 82 Calculate the greatest common divisor of 2018164 and 356. 356 What is the highest common factor of 27475 and 625? 25 What is the greatest common factor of 85241 and 21883? 79 Calculate the greatest common factor of 25272 and 10368. 648 Calculate the greatest common divisor of 16 and 7261568. 16 What is the greatest common factor of 160832 and 128? 64 Calculate the highest common divisor of 32680 and 215. 215 What is the greatest common factor of 99 and 551958? 33 Calculate the highest common factor of 461 and 60852. 461 What is the highest common divisor of 1015 and 158195? 145 Calculate the highest common divisor of 18 and 1882458. 18 Calculate the greatest common factor of 288 and 4464. 144 Calculate the highest common factor of 69689 and 2497. 227 What is the greatest common factor of 8396 and 4? 4 What is the highest common divisor of 3456 and 243216? 432 What is the greatest common factor of 2156 and 750596? 308 What is the greatest common divisor of 68 and 65127? 17 What is the greatest common factor of 35 and 122185? 35 Calculate the highest common factor of 1053039 and 2535. 507 What is the highest common factor of 44177 and 581? 7 What is the greatest common divisor of 2294 and 16021? 37 What is the greatest common divisor of 236271 and 42? 21 Calculate the highest common factor of 390916 and 16. 4 What is the greatest common divisor of 3479 and 14357? 49 Calculate the greatest common divisor of 3696 and 2079. 231 What is the highest common factor of 75 and 36735? 15 What is the greatest common divisor of 238343 and 1027? 79 What is the highest common divisor of 400848 and 1344? 336 Calculate the greatest common factor of 14413 and 1421. 203 Calculate the greatest common factor of 3756 and 852. 12 Calculate the highest common divisor of 840944 and 507. 169 What is the highest common divisor of 217373 and 3289? 299 What is the greatest common divisor of 11040 and 4380? 60 Calculate the greatest common factor of 280 and 897
{ "pile_set_name": "DM Mathematics" }
u(0). -7 Let p(l) be the first derivative of 7*l**4/4 - l**3/3 - 2. Suppose -3*m = 5*d + 3, -2*m - 2 = -5*d + 3*d. Calculate p(m). -8 Let l(r) = 4*r + 1. Let d(h) = -7*h + 7. Let x(w) = -d(w) - 2*l(w). What is x(-4)? -5 Suppose 3 = p + 4, 5*c = -2*p + 13. Suppose -2*q = -3*o + 46, -c*q - 25 = 2*q. Let m(s) = s - 13. Let v be m(o). Let b(g) = 7*g**2. What is b(v)? 7 Let i(h) = -4*h + 1. Let u(w) = -w**2 + 4*w - 1. Let o be u(3). Suppose 21 = 4*t - 3*q, o*t - 3 = -q - 0. Let c be (-1)/t + (-22)/33. Calculate i(c). 5 Suppose 0 = -7*l + 26 + 9. Suppose -12 = l*u + 18. Let i(d) = d**2 + 10*d + 9. Calculate i(u). -15 Let h(d) = -d**2 - 11*d + 32. Suppose 2*p + 3*g + 43 = 11, -5*g = -3*p - 29. Determine h(p). 6 Let k(y) = 2*y + y**2 + y**2 - y**3 - 5*y**2 + 2 + 4*y. Let h = 120 - 124. What is k(h)? -6 Suppose -100 = -10*t + 12*t. Let d = 46 + t. Let h(j) = 1 + 5*j + j**2 - j + 5. What is h(d)? 6 Let f(z) = -z**3 + 3*z**2 + 2*z - 3. Let c be f(3). Suppose 0 = 4*k - 20, 0 = 5*i + c*k + 4 + 1. Let p(t) = 3*t + 18 - 21 - 2*t**2 + 3*t**2. Calculate p(i). 1 Let g(h) be the third derivative of h**5/60 - h**4/4 - h**3 - 82*h**2. Let c(p) = 6*p - 10. Let b be c(7). Suppose -i - 2*f + 8 = -0, 2*f - b = -5*i. Give g(i). -6 Let m(x) = 50*x**3 - 21*x**3 + 4*x**2 + 2 - 15*x**3 - 13*x**3. Give m(-4). 2 Let h(y) = 24*y**2 - 14*y - 9. Let j(d) = 11*d**2 - 6*d - 4. Let l(q) = -6*h(q) + 13*j(q). Determine l(9). -25 Suppose -8*l + 4*l + 16 = 0. Let n(x) = l - 2 - x - 1 - 9. Determine n(0). -8 Let g(v) = -4*v**2 - 2*v**2 - 4 + 1 + 6*v**3 + 1 - 5*v**3 + 5*v. Determine g(5). -2 Let w(v) = 3*v + 4. Let j(f) = -4*f - 1. Let y be j(-1). Suppose y*d - 5*x = d - 37, -38 = 3*d - 4*x. What is w(d)? -14 Let u(t) be the second derivative of -7*t**5/20 - t**4/12 + t**3/6 - t**2/2 - 3*t. Let c be (123/(-984))/((-2)/16). What is u(c)? -8 Let k(u) = u**3 - u**2 - u + 6. Let c(y) = 2*y**2 + 4*y + 2. Let j be c(-5). Suppose 4*b + 30 = 2*s, 4*s - j = b + 7. Let i = -9 + s. Calculate k(i). 6 Let t(h) = -h - 2. Suppose 0 = 4*w + 49 + 11. Suppose -4*m = -5*m - 18. Let u = m - w. Give t(u). 1 Suppose -4*r - 20 = -4*t, 2*r + 3*t - 8 = -2*r. Let o(p) = 3*p**2 + p. Give o(r). 2 Let h(d) be the second derivative of 4*d + 0*d**3 + 2*d**2 + 1/2*d**4 + 0 + 1/20*d**5. Give h(-6). 4 Suppose -3*t + 7*t = -28. Suppose 0 = 3*b + 3*k, -b + 3*k + 8 = -2*b. Let c(o) = 10 - b - o**2 - 5 - 6*o. Give c(t). -6 Suppose 4*r - 16 = 8. Let m = r + -1. Let t(w) = 7*w**3 + 0*w - 1 - 5*w**2 - 6*w**3 - w + 0*w + 3*w. Calculate t(m). 9 Let s(t) be the third derivative of -t**6/120 + 11*t**5/60 - t**4/3 - 2*t**3 + 22*t**2. Give s(10). 8 Let c(v) = -v**2 - 7*v - 7. Suppose 2*g = -5*p + 18, g + 5 = p - 0. Let f be (-5 - -7 - p) + 3*-1. Determine c(f). 3 Let i(c) = c**3 - 3*c**2 - 5. Let q be (-2)/10 - (620/(-25))/(-1). Let w = 29 + q. Calculate i(w). 11 Suppose -9*t + 2 = -8*t. Let g(s) = -9 + 5 - 2*s - t*s - 2*s. Suppose -5*d = 3*q - 0*q + 5, 37 = -3*d + 5*q. Give g(d). 20 Let d(a) = -a - 2. Let z(l) = -25*l - l**3 + 104 + 107 + 25*l**2 + 2*l**3 - 189. Let g be z(-26). Give d(g). 2 Let n(s) = s - 12. Let i(d) = d - 11. Let b(g) = 4*i(g) - 3*n(g). Give b(6). -2 Let s(n) be the second derivative of 1/20*n**5 - 4*n + 0*n**3 + 1/4*n**4 + 1/2*n**2 + 0. Let f(u) = -u**3 + 3*u**2 + 2*u + 5. Let x be f(4). Determine s(x). 1 Let t(j) = j**3 + 6*j**2 + j + 7. Let y(s) = -2*s**3 + 7 - 21 + s + 2*s - 6*s - 13*s**2. Let a(m) = 5*t(m) + 2*y(m). Suppose 81 = -4*w + 61. Give a(w). -13 Let s(w) = -5 - 209*w + 10 + 211*w + w**2 - 2*w**2. Calculate s(4). -3 Let v(j) = -2*j - 4. Suppose 0 = -i + 2*t - 15, -3*i - 2*t + 18 - 31 = 0. Give v(i). 10 Let k(q) = q**2 - 2*q - 3. Suppose -14*n + 10*n - 76 = 0. Suppose -46 = 4*w - 6*w. Let v = w + n. Calculate k(v). 5 Let t(z) = 5*z**2 + 5*z - 16. Let y(f) = f**2 + f - 3. Let d be -23 - (0 + 12/(-3) +
{ "pile_set_name": "DM Mathematics" }
c(l) = -l**3 + 7*l**2 - 2*l + 8. Let x be c(7). Let f = 18 + x. Suppose -3*s = f, -4*r - 283838 - 236146 = -4*s. What is r rounded to the nearest 100000? -100000 Let j = -32254545.5000006 - -32254540. Let r = j + 5.5. What is r rounded to 6 dps? -0.000001 Let b = -0.322 + 0.32615. Round b to 4 dps. 0.0042 Let z = -0.35 - -2.733. Round z to 1 decimal place. 2.4 Let c(h) = 187*h - 15. Let l be c(-4). What is l rounded to the nearest 10? -760 Let x = 36.934000454 - -0.066020546. Let s = x - 37. Round s to 5 dps. 0.00002 Let y be (-17)/(-3) + (-8)/12. Suppose -3*s = -4*z + 12 - 4, 0 = y*s + 3*z - 6. Let x be 51000 - (s/(-4) + 0). Round x to the nearest 10000. 50000 Let l = -2.617 + 2.60814. What is l rounded to 3 dps? -0.009 Let j = -13 + 13.21. Let y = 0.49 + j. Round y to 1 decimal place. 0.7 Suppose 54316 = -2*n - 38684. What is n rounded to the nearest ten thousand? -50000 Let n be (1 - 0)*(-8 - 17354591). Let k = n - -35337636. Suppose -k = -5*c + 1516963. Round c to the nearest 1000000. 4000000 Let m = 11.42141008 + 1.57859027. Let r = -13 + m. Round r to 7 dps. 0.0000004 Let w = 178.63 - 213. Let f = -34 - w. Let v = f - -0.03. Round v to one decimal place. 0.4 Let o = 201.32458 + -0.02458. Round o to the nearest 10. 200 Let f be (-15127 + -2 + 4)*(-1 + 345). What is f rounded to the nearest one million? -5000000 Let o(n) = -5800*n**2 + 18*n - 34. Let h be o(13). Round h to the nearest one hundred thousand. -1000000 Let f = 141 - 200. Let m = 0.17202 - 59.48402. Let s = m - f. Round s to 2 decimal places. -0.31 Let q = -4.20000456 - -4.2. What is q rounded to seven decimal places? -0.0000046 Let t = -8681.45522 - -122.39222. Let y = 8564 + t. Let f = -0.037 + y. Round f to 0 decimal places. 5 Suppose -2379836 = 49*o + 1082994. Round o to the nearest 1000. -71000 Let n = 11426 + -11412.8666. Let d = n + -15.134. Let l = -2 - d. Round l to three dps. 0.001 Suppose -2*u = -2*l + 366008, 2*l + 12*u = 15*u + 366012. What is l rounded to the nearest 10000? 180000 Let t = 303.508 - 304. Let s = 0.491611 + t. Round s to 5 dps. -0.00039 Suppose -4*a - 68100016 = -g, -5*g - 2*a + 280129897 + 60370095 = 0. Round g to the nearest 1000000. 68000000 Let n = 19474 + -13374. What is n rounded to the nearest one thousand? 6000 Let t(k) be the third derivative of -23*k**6/60 + k**5/10 - k**4/8 + 5*k**3/6 + 31*k**2. Let q be t(-5). Round q to the nearest 100. 5900 Let v be 864/5 + 10/50. Suppose -377 - v = f. What is f rounded to the nearest 100? -600 Let s be (209609994/(-45) - 0) + 20/(-150). What is s rounded to the nearest 1000000? -5000000 Let g = 25719 - 25714.0038. Let n = 3 - -2. Let m = g - n. What is m rounded to 3 decimal places? -0.004 Let f = -1790767.900036 - -1758864.2. Let n = -31904.8 - f. Let z = n - -1.1. Round z to five decimal places. 0.00004 Let g be (-169)/(-65) + -4*1/(-10). Suppose -3*v + 8006 = -l, 4*l + g*v + 10033 = -21961. Round l to the nearest one thousand. -8000 Let c = 1.28 + -0.717. Let b = 0.013 - 0.543. Let i = c + b. Round i to three decimal places. 0.033 Let i = 5.2678 + -0.0478. Let r = -5 + i. Let b = -0.220005 + r. What is b rounded to 5 dps? -0.00001 Let n(u) = -u**2 - 4*u - 2. Let r be n(-2). Let y(m) = 0*m - 3*m - 5*m - r*m - 3. Let q be y(6). What is q rounded to the nearest 10? -60 Let z = 185.0381 + -185. Let b = z + 43.5619. What is b rounded to zero dps? 44 Suppose 159 = -r - 3*i, -2*r + 4*i = -76 + 424. Let y be (r/(-35))/(6/(-40)). What is y rounded to the nearest ten? -30 Let n = -8.934 - 0.066. Let z = 2980322.000009 + -2980331. Let v = n - z. Round v to 5 decimal places. -0.00001 Let a = 21.164 + -0.164. Let r = 120904054 - 120904074.9999898. Let o = a + r. Round o to six decimal places. 0.00001 Let h = -2.2 + 110.2. Let f = h + 159. Let j = -286.1 + f. What is j rounded to 0 decimal places? -19 Let w = -0.0514745 + 0.0519. What is w rounded to five dps? 0.00043 Let m = 65.962 - -0.038. Let v = 66.00424 - m. Round v to four decimal places. 0.0042 Suppose 95732 = -7*g - 9268. Round g to the nearest ten thousand. -20000 Let l = 19.6 - 18. Let d = 214335 - 214336.600044. Let g = l + d. What is g rounded to five decimal places? -0.00004 Let z = -1.347 + 674.347. Let f = 673.000537 - z. Round f to 4 decimal places. 0.0005 Let b = -228.9999927 + 229. Round b to 6 dps. 0.000007 Let c = -0.0418 - -0.0711. Round c to 3 dps. 0.029 Let x = -107.353 - -108. Let t = x - -75.153. What is t rounded to the nearest 10? 80 Let r = 2275 - 2274.9287. What is r rounded to 3 decimal places? 0.071 Let p = -71 - -127. Let x = 66 + -62. Suppose -x*l + p = -4*t, -2*t = 5*l - 9 + 30. Round t to the nearest 10. -10 Let u(h) be the second derivative of 0 + 1/20*h**5 - 1/12*h**4 + 0*h**3 + 8*h - 84000*h**2. Let o be u(0). What is o rounded to the nearest ten thousand? -170000 Let y = 1.17477329 - 1.1747. What is y rounded to 5 decimal places? 0.00007 Let k = -0.0156049 - -0.0156. Round k to 5 dps. 0 Let q = 0.887 -
{ "pile_set_name": "DM Mathematics" }
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)). 51*v**4 Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3. -23*x**3 Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2). 41*w**3 Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124). -88*k**4 Expand (0*h - 3*h + h)*(2*h**4 - h + h) + 2*h**3 - 266 - 237 + 213 - h**5. -5*h**5 + 2*h**3 - 290 Expand (-2*q**2 + q**2 - q**2)*(-q + 3*q - 4*q) + (-1 + 1 + 2*q**2)*(1 - 1 - 2*q) - 25*q**3 - 4 + 2 + 130*q**2 + 22*q**3. -3*q**3 + 130*q**2 - 2 Expand 2*o**2 - o**4 - 2*o**2 - 3*o**4 - 26*o**4 - 30*o**4 + (3 - 3 + 3*o**3)*(-2*o + 6*o - 2*o) + 0*o**4 + 2*o**4 - o**4. -53*o**4 Expand (0 - 2 - 2)*(-3 - 3 + 2)*((4*o**2 + 2*o**2 - 4*o**2)*(-5*o**3 + 2*o**3 + 2*o**3) + 0*o**3 + o**5 + 0*o**3). -16*o**5 Expand -21*b - 18*b + 13*b + b - 6*b + 4*b - 3*b + 4*b + b + (1 + 1 - 1)*(5*b - 3*b - 3*b) - 4*b - 3*b + 5*b - 30*b - 8*b + 4 - 3. -66*b + 1 Expand (-34*k**3 - 26*k**3 + 18*k**3)*(-12 + 16*k + 12 - 2 + 2 - k + (-1 + 1 - k)*(-3 + 0 + 5) + 3*k + k - 3*k + 7*k - 2*k - 3*k + 2*k - k + k + 0 + 2*k + 0). -840*k**4 Expand (0*i**3 - i**3 - i**3)*(2917*i**2 + 1 - 17*i - 8*i - 2918*i**2). 2*i**5 + 50*i**4 - 2*i**3 Expand (-2*y + 0*y + 0*y)*(136*y**2 + 4775*y - 4775*y) + (4*y - y - y)*(4 - 4 - 2*y**2) - y + y**3 + y. -275*y**3 Expand 2*q**2 - q**2 + q**2 + (4*q + 4*q - 6*q)*(-1 + 1 - q) - 3*q**2 + 3*q**2 - 3*q**2 + 7*q**2 - 3*q**2 - 3*q**2. -2*q**2 Expand (-j + 3*j - 3*j)*(7 - 27 - 8)*(0 + 1 + 1). 56*j Expand -j**3 - 3*j**3 + 3*j**3 + (0*j + 0*j - 2*j)*(0*j**2 - j**2 + 0*j**2) - 3*j**3 + 0*j**3 + 5*j**3 - 42*j**2 + 11*j**3 + 42*j**2. 14*j**3 Expand (-3*r + 3*r + 6*r)*(2*r + 11*r + 7*r + 7*r). 162*r**2 Expand 3 - 3 - 5*x + (4*x - 3*x - 3*x)*(-3 + 4 + 1) + (-2*x + 2*x + 5*x)*(4 + 1 - 2). 6*x Expand (119*a - 63*a + 3 - 59*a)*(a**3 + a**2 + 2*a**2 + a**3). -6*a**4 - 3*a**3 + 9*a**2 Expand 10*i**4 + 68*i - 6*i**4 - 7*i**4 + (4 - 2*i**2 - 4)*(-1 + 1 + 2*i**2). -7*i**4 + 68*i Expand -5*i + 0*i - i + (2 - 3 + 0)*(-i - i - i) + 0 + i + 0 + (-2 + 1 - 2)*(4*i + 2*i - 5*i). -5*i Expand (-3 + 4 + 0)*(1 - 2 + 0)*(2 - 1 + 0)*(10*b - 4*b + 6*b). -12*b Expand -3 - 2*z + 0*z + 1 + 2 - 2 + 2*z + (-2 - 1 + 0)*(2*z + 0*z - z). -3*z - 2 Expand (-p + 2 + 0 - 5)*(-1 + 34*p**4 - 28*p**4 + 46*p**4). -52*p**5 - 156*p**4 + p + 3 Expand ((-1 + 2 + 3)*(5 - 6 + 0)*(h - 2*h + 0*h) + (-2*h + 8*h - 3*h)*(4 - 5 + 3))*(-6*h + 5*h + 4*h). 30*h**2 Expand (78*p - 71*p - 288*p)*(-2 + 1 + 2). -281*p Expand (-f + 4*f - f - 1)*(-17 - 7 - 3). -54*f + 27 Expand (0*o + 0*o - 4*o)*(-3*o + 3*o + 2*o**4) - 2*o**5 - 11*o**4 + 11*o**4. -10*o**5 Expand (-67 - 481 - 724)*(-2*y**5 - 1 + 1). 2544*y**5 Expand (-3*x - x + 1 + 3*x)*(-4*x - x + 2*x)*((-1 - 2*x + 1)*(3*x - 2*x - 3*x) + 3*x**2 + x**2 + 0*x**2). 24*x**4 - 24*x**3 Expand -o**5 + o**5 + o**5 + (0*o**2 - 2*o**2 + 0*o**2)*(-3*o**3 + o**3 + o**3) + 929*o**5 - 4*o**5 + 675*o**5. 1603*o**5 Expand -4*f + 3*f + 0*f + (-5 + 0 + 4)*(-5*f - 3*f + 6*f) + 25*f - 14*f - 2 + 3. 12*f + 1 Expand (507*j**4 - 2*j**2 + 2*j**2 - 841*j**4)*(0*j + 2*j + 0*j). -668*j**5 Expand (3*g + 2*g - 6*g)*(-2*g - 4 + 4) + (-1 + 2 + 0)*(11*g - 11*g + g**2 - 2). 3*g**2 - 2 Expand 4*f + f - 4*f + f - 1 + 1 + (-2 + 2 - f)*(-2 + 4 - 3) + (-12 + 2 - 13)*(-2*f + 4*f - 4*f). 49*f Expand -2*i**3 + 2*i**2 - 2*i**2 + (-2*i**2 + 6*i**2 - i**2)*(-118*i - 133 + 133). -356*i**3 Expand (-93 - 28 + 50)*(0*k + k + 0*k). -71*k Expand -2*o**4 - 65*o**3 + 60*o**3 - 27*o**3 - 4*o + (o**2 - o**2 - o**4)*(-
{ "pile_set_name": "DM Mathematics" }
digit of 1490? 9 What is the units digit of 1857? 7 What is the ten thousands digit of 14406? 1 What is the thousands digit of 50599? 0 What is the ten thousands digit of 24194? 2 What is the units digit of 26247? 7 What is the ten thousands digit of 29280? 2 What is the thousands digit of 36824? 6 What is the hundreds digit of 13970? 9 What is the hundreds digit of 1775? 7 What is the tens digit of 495? 9 What is the hundreds digit of 271? 2 What is the hundreds digit of 20988? 9 What is the thousands digit of 1331? 1 What is the tens digit of 11645? 4 What is the hundreds digit of 3993? 9 What is the tens digit of 745? 4 What is the units digit of 6225? 5 What is the thousands digit of 2274? 2 What is the ten thousands digit of 71980? 7 What is the units digit of 5854? 4 What is the hundreds digit of 2890? 8 What is the ten thousands digit of 86113? 8 What is the thousands digit of 40042? 0 What is the thousands digit of 14420? 4 What is the units digit of 395? 5 What is the units digit of 2692? 2 What is the units digit of 4777? 7 What is the hundreds digit of 206? 2 What is the thousands digit of 3573? 3 What is the tens digit of 37915? 1 What is the tens digit of 6541? 4 What is the hundreds digit of 5491? 4 What is the tens digit of 2754? 5 What is the tens digit of 715? 1 What is the hundreds digit of 21569? 5 What is the units digit of 7268? 8 What is the units digit of 99232? 2 What is the ten thousands digit of 55498? 5 What is the thousands digit of 75730? 5 What is the tens digit of 1536? 3 What is the tens digit of 25461? 6 What is the tens digit of 1255? 5 What is the units digit of 12? 2 What is the tens digit of 77450? 5 What is the tens digit of 6165? 6 What is the tens digit of 273? 7 What is the hundreds digit of 1048? 0 What is the hundred thousands digit of 125065? 1 What is the units digit of 1225? 5 What is the thousands digit of 4386? 4 What is the thousands digit of 1600? 1 What is the thousands digit of 8690? 8 What is the tens digit of 1904? 0 What is the hundreds digit of 1081? 0 What is the tens digit of 3827? 2 What is the thousands digit of 56880? 6 What is the units digit of 2388? 8 What is the tens digit of 3461? 6 What is the ten thousands digit of 12176? 1 What is the units digit of 823? 3 What is the thousands digit of 2781? 2 What is the ten thousands digit of 38608? 3 What is the tens digit of 3297? 9 What is the units digit of 1455? 5 What is the units digit of 2016? 6 What is the thousands digit of 1490? 1 What is the units digit of 12? 2 What is the thousands digit of 26036? 6 What is the units digit of 4164? 4 What is the thousands digit of 1250? 1 What is the thousands digit of 56847? 6 What is the tens digit of 12309? 0 What is the hundreds digit of 1032? 0 What is the ten thousands digit of 88514? 8 What is the hundreds digit of 8679? 6 What is the units digit of 13308? 8 What is the thousands digit of 11441? 1 What is the units digit of 530? 0 What is the thousands digit of 21245? 1 What is the hundreds digit of 26871? 8 What is the hundreds digit of 9897? 8 What is the tens digit of 3244? 4 What is the hundreds digit of 951? 9 What is the ten thousands digit of 11656? 1 What is the thousands digit of 1582? 1 What is the tens digit of 1561? 6 What is the thousands digit of 6458? 6 What is the units digit of 27260? 0 What is the thousands digit of 22285? 2 What is the ten thousands digit of 168862? 6 What is the thousands digit of 59790? 9 What is the hundreds digit of 8999? 9 What is the hundreds digit of 32700? 7 What is the tens digit of 1476? 7 What is the ten thousands digit of 50316? 5 What is the units digit of 1666? 6 What is the units digit of 151191? 1 What is the tens digit of 37? 3 What is the thousands digit of 19696? 9 What is the hundreds digit of 2318? 3 What is the units digit of 4732? 2 What is the tens digit of 310? 1 What is the hundreds digit of 37855? 8 What is the hundreds digit of 8940? 9 What is the thousands digit of 1723? 1 What is the tens digit of 541? 4 What is the units digit of 758? 8 What is the units digit of 16416? 6 What is the thousands digit of 155552? 5 What is the tens digit of 39608? 0 What is the units digit of 86567? 7 What is the thousands digit of 54172? 4 What is the thousands digit of 1050? 1 What is the thousands digit of 52322? 2 What is the thousands digit of 5189? 5 What is the tens digit of 6218? 1 What is the hundreds digit of 49696? 6 What is the thousands digit of 9955? 9 What is the units digit of 760? 0 What is the thousands digit of 2287? 2 What is the hundreds digit of 31067? 0 What is the tens digit of 1000? 0 What is the hundreds digit of 808? 8 What is the thousands digit of 1439? 1 What is the hundreds digit of 4027? 0 What is the hundreds digit of 371? 3 What is the tens digit of 891? 9 What is the units digit of 1406? 6 What is the tens digit of 4154? 5 What is the units digit of 907? 7 What is the hundreds digit of 171569? 5 What is the tens digit of 827? 2 What is the thousands digit of 4195? 4 What is the thousands digit of 31144? 1 What is the thousands digit of 1767? 1 What is the thousands digit of 4301? 4 What is the tens digit of 70568? 6 What is the thousands digit of 3286? 3 What is the units digit of 3053? 3 What is the ten thousands digit of 13718? 1 What is the units digit of 8915? 5 What is the tens digit of 72? 7 What is the tens digit of 80? 8 What is the units digit of 1201? 1 What is the units digit of 5? 5 What is the thousands digit of 32522? 2 What is the thousands digit of 3620? 3 What is the tens digit of 7097? 9 What is the tens digit of 2348? 4 What is the ten thousands digit of 38394? 3 What is the tens digit of 1542? 4 What is the tens digit of 3793? 9 What is the tens digit of 26160? 6 What is the hundreds digit of 2616? 6 What is the tens digit of 8999? 9 What is the thousands digit of 11053? 1 What is the tens digit of 1513? 1 What is the hundreds digit of 1212? 2 What is the tens digit of 9650? 5 What is the thousands digit of 83552? 3 What is the hundreds digit of 6760? 7 What is the tens digit of 57878? 7 What is the tens digit of 3909? 0 What is the tens digit of 399? 9 What is the ten thousands digit of 41472? 4 What is the units digit of 1797? 7 What is the tens digit of 106? 0 What is the hundreds digit of 2860? 8 What is the hundreds digit of 6544? 5 What is the thousands
{ "pile_set_name": "DM Mathematics" }
(f)? -f**2 - 3 Let r(g) = 16*g**2 + 2*g - 15. Let t(o) = 49*o**2 + 7*o - 44. Give -7*r(x) + 2*t(x). -14*x**2 + 17 Let v(l) = -3*l - 2. Let z(h) = -12*h - 2. Let d(f) = 2*v(f) - z(f). Let w(b) = 5*b - 2. Give -3*d(q) + 4*w(q). 2*q - 2 Let c(h) = h**2 + h - 1. Suppose -1 = y - 2*l, 3*y - 4*l + 16 = 15. Let p(s) = -5*s**3 + s**2 + s - 1. Determine y*c(f) - p(f). 5*f**3 Let d(u) = -3*u**3 - 2*u**2 + 3. Let h(a) = -36*a**2 + 4 - 33*a**2 + 67*a**2 - 3*a**3. Let s be (1 - 2)*(-18)/(-6). Determine s*h(j) + 4*d(j). -3*j**3 - 2*j**2 Let c(x) = -9*x**2 - 7*x - 3. Let z(q) = q + 31. Let a = -135 + 111. Let m be z(a). Let f(l) = -5*l**2 - 4*l - 2. Give m*f(r) - 4*c(r). r**2 - 2 Let y(u) = -3*u**3 + 4*u**2 + 3*u - 2. Let o(b) = -43*b**3 + 41*b**3 + 4*b - 2 + 3*b**2 + 2 - 2. Determine 4*o(d) - 3*y(d). d**3 + 7*d - 2 Let t(p) be the second derivative of p**3 + 7*p**2/2 + 2*p - 12. Let s(j) = -2*j + 8. Let k be s(6). Let g = k + 3. Let d(n) = n + 1. Give g*t(v) + 5*d(v). -v - 2 Let t(r) = -14*r - 87. Let b(o) = 26*o + 174. Calculate 6*b(s) + 11*t(s). 2*s + 87 Let o(j) = -3*j**3 + j**2 - 2*j - 2. Let y(i) be the first derivative of 7*i**4/4 - 2*i**3/3 + 5*i**2/2 + 5*i + 19. Calculate -5*o(n) - 2*y(n). n**3 - n**2 Let x(l) = 7*l + 49 + l - 25 - 20. Let u(y) = -9*y - 5. Give 3*u(z) + 4*x(z). 5*z + 1 Let d(g) = -g. Let o(f) = -2*f**2 - 11*f - 17. Let p(i) = i**2 + 4*i + 6. Let r(w) = 6*o(w) + 17*p(w). What is d(t) + r(t)? 5*t**2 + t Let a(f) = -5*f**3 - 4*f**2 + 6. Let m(h) be the third derivative of -h**6/30 - h**5/20 + 5*h**3/6 - 129*h**2. What is 5*a(x) - 6*m(x)? -x**3 - 2*x**2 Let h(k) = -36*k - 26. Let s(w) = 13*w + 9. Give -4*h(o) - 11*s(o). o + 5 Let x(f) = -5*f**2 + 8*f + 5. Let i(c) = 73*c + 3 + 2*c**2 - c**2 - 68*c - 4*c**2. Determine -8*i(g) + 5*x(g). -g**2 + 1 Let j(u) = -4*u + 1. Let l(s) = 2*s. Let r = 15 - 13. Suppose -r*t = -5*t. Suppose v + 1 - 6 = t. Give v*l(a) + 2*j(a). 2*a + 2 Let v(q) = 10*q - 18. Let n be v(2). Let j(t) = t**2 - 3*t + 2. Let p(w) = -2*w**2 + 7*w - 4. Give n*p(u) + 5*j(u). u**2 - u + 2 Let d(g) = 17*g**3 - 4*g + 4. Let f be (-70)/84 + 1 - 23/(-6). Let w(p) = -34*p**3 + 7*p - 7. Determine f*w(y) + 7*d(y). -17*y**3 Let d(p) = 2*p**2 + p + 1. Let s(x) = -x - 10. Let a be s(-7). Suppose 0 = 36*v - 103*v + 268. Let o(m) = 2*m**2 + m. Give a*d(l) + v*o(l). 2*l**2 + l - 3 Let k(d) = 14*d**2 - 17*d + 55. Let s(j) = 5*j**2 - 6*j + 18. What is 6*k(x) - 17*s(x)? -x**2 + 24 Let f(p) = -4 - p - p + 6 - p. Let n(r) be the second derivative of r**3/6 + r**2/2 + 146*r. Calculate f(c) - n(c). -4*c + 1 Let y(t) be the second derivative of -17*t + 0*t**2 - 1/2*t**3 + 0. Let f(m) = 2*m. Give 3*f(u) + 4*y(u). -6*u Let v(i) = 2*i**3 - 13*i**2 - 41*i - 29. Let h be v(9). Let t(n) = -4*n + 6. Let c(b) = 5*b - 6. Give h*t(w) + 6*c(w). 2*w + 6 Let x(y) = 5*y**2 - 2*y + 1. Let b(q) be the first derivative of -5*q**3/3 + q**2 - q + 447. Calculate -3*b(w) - 4*x(w). -5*w**2 + 2*w - 1 Let t(c) = -c**3 - c**2 - c. Let m(r) = 8*r**3 + 6*r**2 + 4*r + 6. Calculate -m(b) - 6*t(b). -2*b**3 + 2*b - 6 Let i(b) = -4*b**3 - 4*b**2 - 2*b - 1. Let v(c) be the first derivative of -c**3/3 - 71. Determine -i(y) + 4*v(y). 4*y**3 + 2*y + 1 Suppose 50*f + 48 = 38*f. Let n(p) = 12*p**3 - p. Let m(q) = -11*q**3 + q. Give f*m(t) - 3*n(t). 8*t**3 - t Let w = -300 - -301. Let s(v) = v + 1. Let d(r) = 9*r + 6. Give w*d(n) - 6*s(n). 3*n Let n(p) = -p**2 + 2*p + 6. Let o(c) = -4674 + c - c**2 + 4674. What is n(a) - 2*o(a)? a**2 + 6 Let g(p) = 3*p + 11. Let b be (34*2/10)/(22/55). Let v(o) = -o - 4. Calculate b*v(a) + 6*g(a). a - 2 Let
{ "pile_set_name": "DM Mathematics" }
rob of sequence vxrv? 1/910 Two letters picked without replacement from {v: 2, o: 8, f: 5}. Give prob of sequence fv. 1/21 Three letters picked without replacement from {f: 2, g: 1, p: 4}. Give prob of sequence pff. 4/105 Four letters picked without replacement from {u: 2, z: 2, a: 2, m: 3, l: 1, i: 2}. Give prob of sequence aami. 1/990 Three letters picked without replacement from qqqkkqllllqql. Give prob of sequence klq. 5/143 Two letters picked without replacement from {b: 12, k: 1}. What is prob of sequence kb? 1/13 Four letters picked without replacement from ttssqq. What is prob of sequence qqtt? 1/90 Four letters picked without replacement from gggzzgggzgggzg. Give prob of sequence ggzg. 120/1001 What is prob of sequence ee when two letters picked without replacement from hhehhehehhhh? 1/22 Three letters picked without replacement from {c: 1, a: 1, n: 2}. Give prob of sequence nca. 1/12 What is prob of sequence blc when three letters picked without replacement from ttckbthhlhhk? 1/1320 What is prob of sequence zq when two letters picked without replacement from wqqzqqwwqqwzq? 7/78 Calculate prob of sequence eeed when four letters picked without replacement from ededeedeeded. 35/396 Three letters picked without replacement from {z: 2, w: 5, v: 2, a: 9}. Give prob of sequence zva. 1/136 Two letters picked without replacement from nqppnnp. What is prob of sequence nq? 1/14 Calculate prob of sequence eu when two letters picked without replacement from {e: 7, x: 4, k: 2, u: 1, w: 1}. 1/30 Four letters picked without replacement from {h: 5, i: 2, q: 3, f: 7}. What is prob of sequence fiqf? 3/680 Calculate prob of sequence ooz when three letters picked without replacement from ddozozzdoodooozo. 1/15 What is prob of sequence py when two letters picked without replacement from {p: 6, y: 12}? 4/17 Two letters picked without replacement from {x: 15, d: 4}. Give prob of sequence dx. 10/57 Calculate prob of sequence sm when two letters picked without replacement from {f: 3, s: 5, m: 1, d: 1}. 1/18 Four letters picked without replacement from ddhfhddhhfhch. Give prob of sequence hhhf. 2/143 What is prob of sequence wy when two letters picked without replacement from zzzyyyzzuuwuuz? 3/182 Two letters picked without replacement from rglgggr. Give prob of sequence rl. 1/21 Four letters picked without replacement from {s: 1, c: 5, m: 8, g: 1, d: 2}. Give prob of sequence ddmc. 1/714 Four letters picked without replacement from myyyvvccjssyjscsj. Give prob of sequence jsys. 3/1190 What is prob of sequence buxb when four letters picked without replacement from xuxuxbuuxubuuubu? 9/1820 Calculate prob of sequence eo when two letters picked without replacement from nongegnnn. 1/72 Three letters picked without replacement from urrrruuruuuu. What is prob of sequence rru? 7/66 Two letters picked without replacement from {j: 3, i: 1, e: 1}. Give prob of sequence ii. 0 Two letters picked without replacement from oebvt. What is prob of sequence ev? 1/20 Four letters picked without replacement from {f: 2, q: 4, p: 8}. What is prob of sequence ffqq? 1/1001 Calculate prob of sequence xqq when three letters picked without replacement from lllxqlllqllxllqqlql. 20/2907 Calculate prob of sequence er when two letters picked without replacement from rererrrrr. 7/36 Three letters picked without replacement from tnbntnnmmtmtnqnd. What is prob of sequence mmd? 1/560 Four letters picked without replacement from mcmcmcccmccmmmmmcc. What is prob of sequence mccc? 21/340 Four letters picked without replacement from {z: 3, n: 2, w: 2, t: 5, j: 6}. Give prob of sequence ttwn. 1/918 Two letters picked without replacement from dsh. What is prob of sequence hh? 0 Two letters picked without replacement from zbzgqb. What is prob of sequence zb? 2/15 Two letters picked without replacement from ajnddn. Give prob of sequence nn. 1/15 Calculate prob of sequence fui when three letters picked without replacement from {u: 2, f: 9, i: 2}. 3/143 What is prob of sequence jsjr when four letters picked without replacement from jjjriijjrsrjrj? 1/143 Three letters picked without replacement from zwcffzzzcwzzzfc. What is prob of sequence cwc? 2/455 Calculate prob of sequence ija when three letters picked without replacement from {a: 1, i: 1, j: 1}. 1/6 Two letters picked without replacement from {d: 1, x: 4, b: 5, p: 1, e: 3}. Give prob of sequence db. 5/182 Four letters picked without replacement from gjgpppgjp. Give prob of sequence gpgg. 1/126 Calculate prob of sequence kqv when three letters picked without replacement from ivqwrki. 1/210 Calculate prob of sequence guu when three letters picked without replacement from uuggguuuuguuuu. 15/91 Calculate prob of sequence ii when two letters picked without replacement from zrizvizfvi. 1/15 What is prob of sequence jw when two letters picked without replacement from bbjwwwjwbbbbbwbbbbw? 2/57 Calculate prob of sequence uhuh when four letters picked without replacement from {h: 14, u: 4}. 91/3060 Two letters picked without replacement from xxbxbxrbssxsxrsxxxbc. What is prob of sequence sc? 1/95 Three letters picked without replacement from ooloolouooolluujlu. What is prob of sequence jll? 5/1224 Four letters picked without replacement from ekkmmmkemekmmmkmee. Give prob of sequence mmee. 7/459 Three letters picked without replacement from {g: 5, l: 3}. Give prob of sequence glg. 5/28 Two letters picked without replacement from fcfffffffffffff. Give prob of sequence cf. 1/15 Calculate prob of sequence kxaa when four letters picked without replacement from azakauzkazaazzx. 1/546 Calculate prob of sequence yl when two letters picked without replacement from {r: 2, b: 1, l: 1, y: 1}. 1/20 Three letters picked without replacement from {t: 5, w: 2, i: 7, q: 4}. What is prob of sequence iit? 35/816 Three letters picked without replacement from jishq. Give prob of sequence hqi. 1/60 What is prob of sequence rrr when three letters picked without replacement from {r: 5, f: 1, d: 14}? 1/114 Calculate prob of sequence wu when two letters picked without replacement from {v: 4, w: 2, s: 2, q: 10, u: 1}. 1/171 Calculate prob of sequence mmv when three letters picked without replacement from {m: 4, v: 5, h: 3}. 1/22 Two letters picked without replacement from {x: 2, v: 2, d: 2, r: 1, u: 1}. Give prob of sequence rx. 1/28 Three letters picked without replacement from njlsm. Give prob of sequence slj. 1/60 What is prob of sequence ux when two letters picked without replacement from uuuxuuuuuuuuu? 1/13 Two letters picked without replacement from ttmxmbbxtlmxxxxxbtxt. Give prob of sequence xl. 2/95 What is prob of sequence wk when two letters picked without replacement from kwl? 1/6 Calculate prob of sequence gf when two letters picked without replacement from {f: 1, k: 1, g: 2}. 1/6 What is prob of sequence ssss when four letters picked without replacement from ssss? 1 What is prob of sequence yyyq when four letters picked without replacement from qqyyyy? 2/15 What is prob of sequence aaim when four letters picked without
{ "pile_set_name": "DM Mathematics" }
4}. What is prob of picking 1 m, 1 n, and 1 y? 1/85 Three letters picked without replacement from {t: 3, w: 3}. Give prob of picking 2 t and 1 w. 9/20 What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxxx? 1 What is prob of picking 2 n when two letters picked without replacement from {n: 3, a: 1}? 1/2 Calculate prob of picking 1 d and 2 y when three letters picked without replacement from bacabbydcybbbbxca. 1/680 Calculate prob of picking 1 u, 1 e, 1 n, and 1 f when four letters picked without replacement from funueep. 4/35 Two letters picked without replacement from {c: 13, k: 1, r: 3, q: 2}. Give prob of picking 1 k and 1 c. 13/171 Calculate prob of picking 3 p and 1 e when four letters picked without replacement from {p: 6, e: 6}. 8/33 What is prob of picking 3 i and 1 n when four letters picked without replacement from iiiiiiiiniiiiii? 4/15 Four letters picked without replacement from {p: 10}. Give prob of picking 4 p. 1 Calculate prob of picking 3 r when three letters picked without replacement from rrrrr. 1 What is prob of picking 1 t, 1 g, 1 p, and 1 h when four letters picked without replacement from {p: 1, f: 2, b: 2, g: 2, t: 1, h: 1}? 1/63 Three letters picked without replacement from eejeeeeppbewp. Give prob of picking 1 p, 1 w, and 1 b. 3/286 Three letters picked without replacement from {a: 1, w: 7}. Give prob of picking 3 w. 5/8 Four letters picked without replacement from {m: 1, a: 3, g: 3, q: 2, z: 1, x: 3}. Give prob of picking 1 q and 3 g. 2/715 Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {p: 2, g: 4}. 1/5 Four letters picked without replacement from {o: 2, h: 6}. What is prob of picking 4 h? 3/14 Calculate prob of picking 4 y when four letters picked without replacement from ylylyllylylly. 3/143 Three letters picked without replacement from ppzpzppzzzbpupz. Give prob of picking 1 b and 2 p. 3/65 What is prob of picking 1 y and 1 m when two letters picked without replacement from bbbbmbymbmbbmbyb? 1/15 Two letters picked without replacement from mpwwcxmlc. What is prob of picking 1 p and 1 c? 1/18 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 5, y: 13}. 65/153 Three letters picked without replacement from cyckxckyyyyck. Give prob of picking 1 x, 1 k, and 1 c. 6/143 Four letters picked without replacement from hdusuuuuudhuhdhuhduu. Give prob of picking 3 u and 1 d. 32/323 What is prob of picking 1 q and 1 n when two letters picked without replacement from exjnjeejejqnono? 1/35 What is prob of picking 2 c when two letters picked without replacement from {x: 12, c: 3}? 1/35 Three letters picked without replacement from akkgkwakgwkkw. Give prob of picking 2 g and 1 k. 3/143 What is prob of picking 1 f and 1 e when two letters picked without replacement from {m: 1, f: 2, e: 1, x: 1, b: 2}? 2/21 Two letters picked without replacement from {d: 2, c: 1, k: 1, x: 2}. What is prob of picking 1 c and 1 k? 1/15 Three letters picked without replacement from zgzg. Give prob of picking 1 z and 2 g. 1/2 Four letters picked without replacement from gttgbgt. Give prob of picking 2 t and 2 g. 9/35 Two letters picked without replacement from wjjnwttwtwwwwj. What is prob of picking 1 w and 1 j? 3/13 Three letters picked without replacement from {j: 1, t: 1, k: 5, d: 3}. Give prob of picking 3 d. 1/120 Four letters picked without replacement from {o: 2, y: 2, r: 3, f: 6, h: 1}. What is prob of picking 2 f, 1 y, and 1 o? 60/1001 Three letters picked without replacement from hhhhh. What is prob of picking 3 h? 1 What is prob of picking 1 x and 1 e when two letters picked without replacement from dlyxwle? 1/21 Two letters picked without replacement from wmam. Give prob of picking 1 a and 1 m. 1/3 Two letters picked without replacement from {p: 7, f: 1}. Give prob of picking 1 p and 1 f. 1/4 What is prob of picking 2 t and 1 q when three letters picked without replacement from tkqttzqtti? 1/6 Four letters picked without replacement from {m: 1, w: 1, h: 6, g: 3, i: 4}. Give prob of picking 2 g, 1 h, and 1 w. 6/455 Calculate prob of picking 4 v when four letters picked without replacement from vfvfvv. 1/15 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from zzuufzzzuzzzuzzuuu. 7/153 Two letters picked without replacement from {u: 4, d: 5, f: 3}. Give prob of picking 2 d. 5/33 What is prob of picking 1 n and 1 r when two letters picked without replacement from {n: 1, r: 2, c: 2}? 1/5 What is prob of picking 1 f, 1 k, 1 w, and 1 x when four letters picked without replacement from {j: 1, w: 2, k: 2, x: 8, f: 1, i: 1}? 32/1365 Two letters picked without replacement from ere. What is prob of picking 2 e? 1/3 Four letters picked without replacement from {d: 1, b: 1, f: 4, v: 4}. What is prob of picking 1 d and 3 v? 2/105 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, w: 7, x: 1}. 1/36 What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 8, m: 2}? 8/15 Two letters picked without replacement from wxxwwvvwvvkkhx. Give prob of picking 2 v. 6/91 Calculate prob of picking 1 l, 1 w, and 2 m when four letters picked without replacement from {l: 3, w: 4, f: 1, j: 1, m: 2}. 2/55 Four letters picked without replacement from {g: 3, c: 1, b: 1, r: 3, p: 1, s: 2}. Give prob of picking 1 r, 1 g, 1 s, and 1 b. 3/55 Two letters picked without replacement from {x: 1, h: 1, i: 3, n: 4, m: 6}. What is prob of picking 2 i? 1/35 Two letters picked without replacement from {s: 4, a: 10}. What is prob of picking 2 s? 6/91 What is prob of picking 2 z when two letters picked without replacement from {j: 1, l: 2, z: 11, w: 1}? 11/21 What is prob of picking 1 r and 2 s when three letters picked without replacement from ysssysyysyyyrsrsyr? 21/272 Two letters picked without replacement from {h: 8, n: 2}. Give prob of picking 1 h and 1 n. 16/45 Two letters picked without replacement from {a: 2, o: 3, f: 1, i: 1, u: 8, y: 1}. Give prob of picking 1 u and 1 a. 2/15 Calculate prob of picking 2 c when two letters picked without replacement from {d: 4, c: 3, a: 1}. 3/28 Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {x: 3, j: 2, e: 3, a: 2, h: 3}. 3/286 What is prob of picking 1 x and 1 n when two letters picked without replacement from {i: 1, x: 2, a: 1, n: 2, d: 1, w: 1}? 1/7 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from fjujjyyja. 1/9 What is prob of picking 1 h and 1 q when
{ "pile_set_name": "DM Mathematics" }
he terms in -26*m**3 + 16*m**3 - 25*m**3 + 2*m + 36*m**3 - 120. m**3 + 2*m - 120 Collect the terms in -11187*t**3 - 3*t - t - 4*t + t + 3*t**2 + 9*t. -11187*t**3 + 3*t**2 + 2*t Collect the terms in -1369 + 2739 - 1370 - 10607*m**3 + 7*m**2. -10607*m**3 + 7*m**2 Collect the terms in 3 + 10190*h - 9944*h - 13 + 10. 246*h Collect the terms in -28*t**2 + 6 + 28*t**2 + 9496*t**3 - 6. 9496*t**3 Collect the terms in 28*z**2 + 25235*z - 25166*z - 7*z**2 + 21*z**2. 42*z**2 + 69*z Collect the terms in 44*t - 292*t - 275*t + 92*t - 25*t. -456*t Collect the terms in 0 + 163*i + 115*i + 163*i + 0 - 648*i + 187*i. -20*i Collect the terms in -22*x + 21 - 39*x - 41 + 20 - 37*x. -98*x Collect the terms in -653 - 6300*r + 6225*r + 653. -75*r Collect the terms in -29*g**3 + 774*g - 2 - 691*g + 51. -29*g**3 + 83*g + 49 Collect the terms in 3435369*o + 3435370*o - 6870753*o - 1. -14*o - 1 Collect the terms in 5383913642 - 292*c - 5383913642. -292*c Collect the terms in q**3 - 5554*q + 17293*q - 5654*q - 5647*q. q**3 + 438*q Collect the terms in -459168*a**3 + 920341*a**3 - 459753*a**3. 1420*a**3 Collect the terms in 8347433 - 4170119 - p**2 - 4177314. -p**2 Collect the terms in -1071*j**2 - 5118*j**2 - 23*j**2 + 606*j**2 - 598. -5606*j**2 - 598 Collect the terms in 71*h - 70837 + 144000 - 73164. 71*h - 1 Collect the terms in -555294715 + 297*h**3 + 555294715. 297*h**3 Collect the terms in 160*p**3 + 0*p**3 - 1068481*p + 1068481*p + 19*p**3. 179*p**3 Collect the terms in -123870398*f**2 + 360400182*f**2 + 63638120*f**2. 300167904*f**2 Collect the terms in -49*v + 49*v + 204708*v**3. 204708*v**3 Collect the terms in 12299*f - 61458*f + 12377*f + 12183*f + 12102*f + 12019*f. -478*f Collect the terms in -115*b + 104*b + 136 - 136 + 124*b + 813*b. 926*b Collect the terms in -30919443*b**2 - 4*b**3 + 30919443*b**2. -4*b**3 Collect the terms in -87*j**3 + 35470*j**2 - 35470*j**2 + 31*j**3 - 173*j**3. -229*j**3 Collect the terms in -2781*b + 5298*b - 2517*b + 69*b**3. 69*b**3 Collect the terms in 32*a + 74 - 26 - 14 - 28. 32*a + 6 Collect the terms in -151982*t**2 + 76030*t**2 + 75608*t**2. -344*t**2 Collect the terms in 2 + 292420*j**2 + 0 + 6 - 8 - 292432*j**2. -12*j**2 Collect the terms in 3068*k + 3081*k + 3071*k - 15374*k + 3079*k + 3072*k. -3*k Collect the terms in -413*f + 261*f - 246*f - 2225. -398*f - 2225 Collect the terms in 2000*i**2 + 4 + 20*i**3 - 2 - 1647*i + 1649*i. 20*i**3 + 2000*i**2 + 2*i + 2 Collect the terms in -143*w**2 - 126*w**2 + 313*w**2 - 125*w**2. -81*w**2 Collect the terms in 3*r**3 + 262236*r - 523985*r + 33 - 5*r**3 + 261749*r - 33. -2*r**3 Collect the terms in 8*b**2 - 34902 - 34934 - 7*b**2 + 69836. b**2 Collect the terms in -48777 + 32*r - 31*r + 48777. r Collect the terms in -2240*u**2 - 182 + 182 - 315*u**2 + 2368*u**2. -187*u**2 Collect the terms in -185075*z - 25123*z**3 + 185075*z. -25123*z**3 Collect the terms in 407960 - 407960 + 77*y - 74*y. 3*y Collect the terms in -5*p + 6*p - 37 + 12*p - 4*p - 8*p. p - 37 Collect the terms in -39386*t**3 + 238370*t**3 + 64375*t**3. 263359*t**3 Collect the terms in -8*z - 54*z - 1 - 353*z**3 - 185*z**3 - 493*z**3 + 33*z**3. -998*z**3 - 62*z - 1 Collect the terms in -c**3 + 288 - 778 + 2*c - 1080. -c**3 + 2*c - 1570 Collect the terms in -1044 - 1063 + 3153 + 18*l - 1046. 18*l Collect the terms in -75 + 4231*o - 4222*o - 73 - 81 + 229. 9*o Collect the terms in -19207600*o**2 - 2*o - 30234733*o**2 + 2*o. -49442333*o**2 Collect the terms in -10*h - 22743 + 77*h + 22095. 67*h - 648 Collect the terms in 10*p**2 - p**2 - 4*p**2 - 6*p**2 + p**2 - 12*p**2 + 0*p**2 + 4*p. -12*p**2 + 4*p Collect the terms in -16005088*p + 43*p**2 + 16005088*p. 43*p**2 Collect the terms in h - h + 274948*h**3 + 691852*h**3. 966800*h**3 Collect the terms in -18122 + 54360 - 11*a - 18117 - 18121 + 12*a. a Collect the terms in 5*w**2 - 216 + 15*w**2 - 275 - 12*w**2 + 491. 8*w**2 Collect the terms in 3*x**2 - 1697*x**3 - 2746*x**3 - 428*x**3 - 3*x**2 - 556*x**3. -5427*x**3 Collect the terms in -119144*r**2 + 119144*r**2 - 486*r**3 + 598*r**3. 112*r**3 Collect the terms in 53875 - 10767 - 10761 - 10757 - w - 10776 - 10770. -w + 44 Collect the terms in 22 - 150928*i - 6 - 16. -150928*i Collect the terms in -53636865*h**3 + 53636832*h**3 - 42 + 42. -33*h**3 Collect the terms in -1 + 1609733304*z**2 - 160973
{ "pile_set_name": "DM Mathematics" }
, -62280, -77850? -93420 What is next in -22, -52, -94, -154, -238? -352 What is the next term in 10, 14, 18? 22 What is the next term in 27, 52, 77? 102 What is the next term in 897, 3582, 8057, 14322, 22377, 32222? 43857 What is the next term in -33, -169, -395, -711, -1117, -1613? -2199 What is next in 194, 198, 208, 224, 246, 274? 308 What is the next term in -192, -777, -1750, -3111, -4860? -6997 What is the next term in 492, 996, 1514, 2052, 2616? 3212 What comes next: -14, -65, -154, -281, -446? -649 What is the next term in 392, 399, 406, 413? 420 What is the next term in -36, -68, -100, -132, -164, -196? -228 What is the next term in 5833, 5837, 5841, 5845? 5849 What comes next: 1730, 3469, 5210, 6953, 8698, 10445? 12194 What is the next term in 14, 6, -6, -22, -42? -66 What is next in -11, -48, -153, -362, -711, -1236? -1973 What is the next term in -95, -179, -271, -377, -503, -655, -839, -1061? -1327 What is next in 230, 921, 2062, 3647, 5670, 8125? 11006 What is the next term in 12054, 12044, 12026, 11994, 11942, 11864, 11754, 11606? 11414 What is next in 39, 151, 337, 597, 931, 1339? 1821 What is the next term in 17, 44, 77, 116, 161, 212? 269 What comes next: -80, -158, -234, -308, -380? -450 What comes next: 4, 31, 106, 253, 496, 859, 1366? 2041 What is the next term in -122, -125, -140, -173, -230? -317 What is next in -3, -8, -25, -60, -119, -208, -333, -500? -715 What comes next: 236, 249, 274, 317, 384, 481, 614? 789 What is next in -2, -4, -14, -32, -58, -92, -134? -184 What is next in -90, -591, -1418, -2565, -4026, -5795? -7866 What comes next: -176, -240, -306, -374, -444, -516, -590? -666 What comes next: 133, 267, 411, 571, 753, 963? 1207 What is next in -24, -89, -270, -627, -1220? -2109 What comes next: -27, -33, -49, -81, -135, -217, -333? -489 What is next in -544, -2150, -4836, -8608, -13472, -19434, -26500? -34676 What is the next term in 540, 1069, 1598? 2127 What comes next: -115, -113, -111, -109, -107? -105 What is next in 17, 30, 51, 80? 117 What comes next: 2173, 2162, 2149, 2140, 2141? 2158 What comes next: 18, 44, 60, 60, 38, -12? -96 What is next in 35, 75, 115? 155 What is the next term in -103, -105, -107, -109, -111? -113 What comes next: 252, 242, 242, 258, 296? 362 What is next in -105, -100, -85, -54, -1, 80? 195 What comes next: 166, 222, 280, 340, 402, 466, 532? 600 What is next in -2, -12, -26, -44, -66, -92? -122 What is the next term in 26, 77, 134, 197, 266, 341? 422 What is the next term in -22, -121, -400, -949, -1858, -3217, -5116, -7645? -10894 What comes next: -31, -26, -21, -16, -11? -6 What comes next: 197, 200, 205, 212, 221, 232? 245 What comes next: -63, -54, -41, -24, -3, 22? 51 What comes next: 117, 125, 135, 147? 161 What comes next: 1673, 3343, 5013? 6683 What is the next term in -19, -48, -77, -106, -135, -164? -193 What comes next: 3891, 7680, 11483, 15306, 19155? 23036 What is the next term in 47, 33, 17, -1, -21, -43? -67 What comes next: -7, -7, -13, -31, -67, -127, -217? -343 What is next in -7427, -7429, -7431, -7433, -7435? -7437 What is next in -51, -110, -155, -180, -179, -146? -75 What is next in -882, -1769, -2656, -3543? -4430 What is the next term in -111, -219, -327, -435, -543? -651 What comes next: 42, 93, 144? 195 What is next in 306, 605, 904, 1203, 1502, 1801? 2100 What is next in 8, -6, -36, -88, -168, -282, -436? -636 What is the next term in 12869, 25737, 38605? 51473 What is next in -12, -58, -136, -246, -388, -562? -768 What is the next term in 150, 600, 1348, 2394, 3738, 5380, 7320? 9558 What is the next term in 9, 26, 47, 72, 101, 134? 171 What is the next term in 100, 121, 148, 175, 196, 205? 196 What is the next term in -197, -389, -569, -731, -869, -977, -1049? -1079 What is the next term in -59, -65, -71, -77, -83, -89? -95 What is the next term in -23, -53, -79, -101, -119, -133? -143 What comes next: -35, -143, -323, -575, -899? -1295 What comes next: -65, -88, -125, -176, -241? -320 What is next in 48, 91, 148, 225, 328, 463, 636? 853 What comes next: 3749, 3750, 3751, 3752, 3753? 3754 What is the next term in 131, 267, 403, 539, 675, 811? 947 What is next in 69, 521, 1751, 4149, 8105, 14009, 22251? 33221 What comes next: 407, 407, 409, 413, 419, 427? 437 What comes next: -3486, -6971, -10456, -13941, -17426? -20911 What is next in 5, -10, -51, -130, -259, -450, -715? -1066 What comes next: -3, -2, -3, -6? -11 What is the next term in -6, -25, -54, -93, -142? -201 What is next in -36, -23, -18, -27, -56, -111, -198, -323? -492 What is next in 123, 130, 137, 144? 151 What comes next: 114, 133, 166, 213? 274 What is next in 456, 450, 442, 432? 420 What is next in 7766,
{ "pile_set_name": "DM Mathematics" }
.00002 Let g(s) = 85*s**2 - 194*s - 386. Let u be g(-54). Round u to the nearest 100000. 300000 Suppose -3*g = -n + 2015506, 20*g = -4*n + 17*g + 8061994. Round n to the nearest ten thousand. 2020000 Let s = -124.8029 - -0.0029. Let g = -7.1 + 119.1. Let p = s + g. Round p to zero decimal places. -13 Let u = -73908 - -73907.69183. Let y = 62.63983 - u. Let d = y - 63. Round d to three decimal places. -0.052 Let t = -0.629 + 0.287. Let x = 0.223 + t. Let n = 0.118906 + x. Round n to five decimal places. -0.00009 Let x = 484.3733 - 489.2434592. Let h = 4.87 + x. Round h to 5 decimal places. -0.00016 Let b = -274448 + 254589.1. Round b to the nearest one hundred. -19900 Suppose -12 = j + 3. Let f(l) = -2200*l**3 + 17*l - 2208*l**3 - 9*l**2 + 15 + 4407*l**3. Let q be f(j). What is q rounded to the nearest 100? 1100 Let x = 403 + -115. Let d = -287.1 + x. Round d to 0 dps. 1 Let w = 0.9834 + -0.3967. Round w to one decimal place. 0.6 Let r = -21237986 + 45237980. Suppose -8*s + r = -6*s. Suppose -2*t - u = -s, -2 - 1 = u. What is t rounded to the nearest one million? 6000000 Let s = -2.585 - 2.595. Let p = 0.046 + -4.846. Let q = s - p. What is q rounded to 1 dp? -0.4 Let i = -610.693 + 611. Let p = 33.797 + -33.8. Let d = p - i. Round d to one dp. -0.3 Let n(p) = -12859*p + 13. Suppose h + 2*h - 15 = 0, 2*f - 2*h = 10. Suppose -i + f = d, -i - 4*d + 19 = -0*d. Let m be n(i). Round m to the nearest 100000. -100000 Let f = -2038.59 - 181.71. What is f rounded to the nearest ten? -2220 Let t = 1081855 - 1081854.9148559. Let l = t + -0.0851. What is l rounded to 6 dps? 0.000044 Let f = -39243 + 39246.21465. Round f to 1 decimal place. 3.2 Let u(b) be the first derivative of -1795*b**2/2 - 135*b - 61. Let c be u(9). What is c rounded to the nearest 1000? -16000 Let q = 303 - 337.5. Let m = q + 34.50000029. What is m rounded to 6 decimal places? 0 Let b(d) = -d**3 + 16*d**2 - 13*d - 131. Let o be b(15). Let w be (o + 1)/(35/(-21210)). What is w rounded to the nearest 1000? 61000 Let g = -9679 + 9639.63. Round g to zero decimal places. -39 Let a = 332 + -330. Suppose -3*q - 37480 = b + 3*b, -18740 = a*b + 2*q. What is b rounded to the nearest 1000? -9000 Let x = 0.346 + 7.403. Round x to one dp. 7.7 Let b = 29891817.99938 - 29892115. Let h = 297 + b. What is h rounded to four decimal places? -0.0006 Let k = -4725.277 + 4728. Let f = k + -0.333. What is f rounded to 1 dp? 2.4 Let x = 2.4 - 67.4. Let b = -181 - x. Let n = 115.99839 + b. What is n rounded to four dps? -0.0016 Let x = 433.705 - -78.625. What is x rounded to the nearest 100? 500 Let a = -668 + 643. Let x = -24.9435 - a. Round x to 3 decimal places. 0.057 Suppose -303002326 = -30*s - 37961326. What is s rounded to the nearest 100000? 8800000 Let y = -1103 + -1621. Round y to the nearest 1000. -3000 Let u = -195 + 90. Let o = u + 112.6. Let t = o - 7.49. What is t rounded to 1 dp? 0.1 Let g = 1795.367 - 1780.4. Let o = -15 + g. What is o rounded to 2 decimal places? -0.03 Let s(y) = -y**3 - 9*y**2 - 16*y - 14. Let l be s(-7). Let r be (l + -5)*(-1143 - (7 - 4)). Round r to the nearest one thousand. 6000 Let v = -28.4 + 36.26. Let l = 7.859673 - v. What is l rounded to 5 dps? -0.00033 Let q be -7 + 0 + 0 + -78 + 4684. Let z(m) = 1999*m**2. Let l be z(1). Let b = l - q. What is b rounded to the nearest 1000? -3000 Let t = 267 - 254. Let l(x) = x + 11*x + 2*x**2 + 13 - 3*x**2. Let h be l(t). Round h to 1 decimal place. 0 Let y = 83861 + -83861.0000074794. What is y rounded to seven dps? -0.0000075 Suppose 2*m - 56901032 = 3053212. Let g = 63677295 - m. Suppose -4*n - g = 50699827. Round n to the nearest 1000000. -21000000 Let t be 988/104 + (-10)/4. Let d be t - -1239*(-39051)/27. Round d to the nearest one million. -2000000 Let m(y) = -7 - 24*y + 29*y**2 + 23*y + 4*y**2. Let l be m(7). Let w = 803 - l. Round w to the nearest 1000. -1000 Let y = 14.914 + -14.9026115. Round y to three dps. 0.011 Let x = 42230954697.999665 + -42231753154. Let o = -798454 - x. Let m = -2 + o. What is m rounded to four decimal places? 0.0003 Let l = -23.05 + 15.22. Let w = -8.592 - l. Round w to 2 dps. -0.76 Suppose -3*y - 33236 = d, -5*y - 39475 = -4*d + 15941. Round y to the nearest 1000. -11000 Let a = -226 + 267. Suppose -a*q = -4*q + 2053500. What is q rounded to the nearest 10000? -60000 Let g = 2059.000005 + -2059. What is g rounded to seven decimal places? 0.000005 Let p = -1604 + 1604.0015688. What is p rounded to 4 dps? 0.0016 Let t = -0.55 - 1082.45. Let o = t + 1083.0005505. What is o rounded to five dps? 0.00055 Let d = -9550103 + 30946288. Let k = 14956185 - d. What is k rounded to the nearest 1000000? -6000000 Let q = 34.3 + 18.7. Let x = 52.99999885 - q. Round x to seven decimal places. -0.0000012 Let d = 366038799.956725 - 465569283.32871687. Let a = d - -99529968.372. Let x = -515 - a. Round x to 6 dps. -0.000008 Let n = 1.06475 + 0.01565. Round n to the nearest integer. 1 Suppose -9*f + 235474 =
{ "pile_set_name": "DM Mathematics" }
3 dps? -0.011 Let t = -73925.26 - -73925.49000195. Let j = -0.23 + t. What is j rounded to 7 decimal places? 0.000002 Let z = -5334436 + 5599978.3. Let i = z - 265541.90000032. Let a = i + -0.4. Round a to 7 decimal places. -0.0000003 Let k be (0 + -1)/((-3)/(-6)). Let z be k*(-2 - (0 + 0)). Suppose 20 = z*f, -3*v - 2400005 = -4*v - f. What is v rounded to the nearest one million? 2000000 Let n = 16738 - 16768.068. Let b = n - -0.068. Let r = b - -30.0000038. Round r to six dps. 0.000004 Let v = 4501.42 - 4551. Let m = v - -50. Round m to one decimal place. 0.4 Let t = 58 - 58.00084. What is t rounded to 4 dps? -0.0008 Let j = -3.30000066 + 3.3. Round j to 7 decimal places. -0.0000007 Suppose 0 = -4*l - l + 25, 3*l + 10039985 = -4*n. What is n rounded to the nearest 100000? -2500000 Let z(s) = -4*s**2 + 3*s**2 + 200000*s**3 + 1 + 0*s**2. Let f = -40 - -39. Let u be z(f). What is u rounded to the nearest 1000000? 0 Let b(k) = -2*k**3 - 2*k**2 - k + 2. Let q be b(-2). Let r be (-3)/(q/(-272000))*1. Round r to the nearest 10000. 70000 Let d = 247 - 242.96. Let x = 0.04 - d. Let b = x - -3.999985. Round b to five decimal places. -0.00002 Let h(q) = -4*q**3 - 6*q**2 + 5*q + 5. Let d be h(5). What is d rounded to the nearest 100? -600 Suppose g + 5*a + 65 = 0, 3*g + 2*a = -2*a - 162. Let r(v) = -4*v**3 - v**2 + 2*v - 2. Let u be r(-3). Let m = u + g. Round m to the nearest 10. 40 Let c = 23 - 20. Suppose 1250000 = c*d - 2*d. What is d rounded to the nearest one hundred thousand? 1300000 Let j = 6.7 - -48.3. Let h = 9460.67 - 9515. Let a = j + h. Round a to one dp. 0.7 Let p = 0.0463 - -2.4417. Let i = -2.6 + p. Let t = i - -0.11200051. What is t rounded to seven dps? 0.0000005 Suppose 18*w - 23*w - 5500 = 0. Round w to the nearest one thousand. -1000 Let v = -13 - -39. Let k = -62.18606 + 36.18665. Let b = k + v. What is b rounded to 4 decimal places? 0.0006 Let p = -7 + 30. Let l = 22.908 - p. What is l rounded to two decimal places? -0.09 Let y = -15307.921 - -7.921. Let g = y + 15299.82026. Let z = 0.18 + g. What is z rounded to four dps? 0.0003 Suppose 2*h + 5 = 3*h. Suppose h*x + 3499990 = -5*v, 4*v = 3*x + 9*v + 2099990. Round x to the nearest one hundred thousand. -700000 Let s = 68.938 + -69. Let m = s + 0.0539. What is m rounded to three dps? -0.008 Let b = -139.370613 - -219.370734. Let o = -245 + 165. Let k = b + o. What is k rounded to five dps? 0.00012 Suppose 0 = -4*a + 2*a + 714. Round a to the nearest ten. 360 Let d = 848695 + -416695. What is d rounded to the nearest ten thousand? 430000 Suppose 7*l = 4*l + 6. Let y be (2/(-4))/(l/(-8)). Suppose -5*i = -y*a + 39990, -4*a + 4*i + 98225 = 18233. Round a to the nearest one hundred thousand. 0 Let t = 0.465383 - 0.465. What is t rounded to four dps? 0.0004 Let f = 43.00000136 - 43. What is f rounded to seven dps? 0.0000014 Let u = -117.9 + -22.1. Let t = -140.0000069 - u. What is t rounded to 6 dps? -0.000007 Let z = 15879 - 15905.989. Let j = -27 - z. What is j rounded to two dps? -0.01 Let b(c) be the third derivative of 4097*c**5/15 - c**4/6 + 4*c**3/3 + c**2. Let m be b(-6). Round m to the nearest one hundred thousand. 600000 Let k = -57.99999899 - -58. What is k rounded to 6 dps? 0.000001 Let x be ((-209035)/2)/5*2. Let c = x - -29470. Let k = 22137 + c. What is k rounded to the nearest one thousand? 10000 Let b = 76.039 - 76. Let i = b + 5.161. What is i rounded to the nearest integer? 5 Suppose 5*q - 2*u + 722 = -161, -5*q = -u + 884. Let l = -264 - q. What is l rounded to the nearest 10? -90 Let w(o) = -2*o - 3. Let r be w(-4). Suppose 5*j - v = -3*v + 416, r*j - 3*v - 401 = 0. What is j rounded to the nearest 10? 80 Let c be 500*(-1)/(-3)*114/4. What is c rounded to the nearest 1000? 5000 Suppose 2*z - 45510 = -5*d, -2*d - z + 3815 = -14390. What is d rounded to the nearest one thousand? 9000 Let n = -11 + 31. Let d = n + -20.18. Let x = 8.68 + d. Round x to 0 decimal places. 9 Let r = -8491 + 17891. Let q be (9/(-3))/((-3)/r). Round q to the nearest 1000. 9000 Suppose 5*x - 3516346 = 1133654. Suppose -2*b = 2*l + 620000, 3*b + 3*l = 4*l - x. What is b rounded to the nearest one hundred thousand? -300000 Let d = 12.854 + -0.054. Round d to the nearest integer. 13 Suppose -a = -y + 2682, -5*y + 10*a = 14*a - 13392. What is y rounded to the nearest 100? 2700 Let r = 11053.7169941 + -11053.8. Let f = 0.083 + r. What is f rounded to 6 decimal places? -0.000006 Let h = -0.009 - -136.009. Let x = 55903826.3 - 55903962.2999858. Let t = h + x. What is t rounded to 6 dps? 0.000014 Let v = 9.16 - 9. Let t = -19.42 - -19. Let g = t + v. Round g to 1 dp. -0.3 Suppose 0*k - 2*l - 66999996 = 2*k, -3*k - 100499990 = 5*l. Round k to the nearest one million. -34000000 Let r = 1.03 - 0.431. What is r rounded to one decimal place? 0.6 Let j = 0.255 - 0.43. Round j to 2 decimal places. -0.18 Let r = -11.5 - 0.5. Let d = 12.02 + r. What is d rounded to 1 dp? 0 Let g = 581206 + -121206. What is g rounded to the
{ "pile_set_name": "DM Mathematics" }
). What is the highest common divisor of o and m? 1 Let m(c) = -55*c + 2437. Let k be m(43). Calculate the greatest common factor of 2718 and k. 18 Let h = -1018 + 1060. Calculate the greatest common divisor of 17052 and h. 42 Let w be 1 + 1 + (-100 - 4/(-2)). Let h be -19 + 0/(-3 - -1). Let d = h - w. Calculate the greatest common divisor of 11 and d. 11 Let l = -132 - -166. Let y be 1433/6 + (-5)/6. Calculate the greatest common divisor of y and l. 34 Let g(u) = 477*u**2 - 117*u + 14. Let f be g(4). Calculate the greatest common factor of f and 970. 194 Let b = -36464 - -36948. Calculate the highest common factor of b and 1100. 44 Suppose -40*a + 2460 = 86*a - 85*a. Calculate the greatest common divisor of a and 2865. 15 Suppose -z + 4 = 3*r - 2*z, 8 = r + z. Suppose 0 = -6*w + 1958 - 308. Let s = 302 - w. What is the greatest common divisor of r and s? 3 Let c = 36 - -19. Let d = 225 + c. Suppose -4*n + 8*n = d. Calculate the highest common factor of n and 14. 14 Let n(o) = 3*o**3 - 16*o**2 - 11*o + 16. Let b be n(6). Let a = -129 + 195. Let k be (-4)/6*a/(-2). What is the greatest common divisor of k and b? 22 Suppose 7 = 5*p - 13. Suppose 3*s + 419 = 4*j, 0 = p*j - 2*s - 3*s - 421. Let x = -8960 - -8986. Calculate the highest common divisor of j and x. 26 Let s be (221/(-39) + -5)*((-3)/(-4))/(-1). What is the greatest common factor of 2080 and s? 8 Let r = -94 - -96. Suppose r*u - f - 106 = 0, -2*u + f - 5*f = -106. What is the greatest common factor of u and 212? 53 Let i(u) = 5*u**2 + 4*u - 3. Let g be i(-5). Let v = -108682 + 109039. Calculate the highest common factor of v and g. 51 Let h = 65 + -134. Let q = -309 - h. Let i be ((-2)/(-4))/((-3)/q). Calculate the greatest common factor of i and 5. 5 Let a = 10 + -16. Let n = 34 + a. Suppose 0 = 203*v - 204*v + 7. Calculate the highest common factor of n and v. 7 Suppose 8 + 3 = 9*w - 25. Let d be 94/(-2 + 15/6). What is the highest common factor of d and w? 4 Suppose -5664 = -5*a - 1099. Suppose -l = 5, 2*u - l - a = -62. Calculate the greatest common divisor of 47 and u. 47 Suppose 5*v - 8 = -p, 4 = -4*v + 4*p - 4. Suppose -5*l + 25 = 0, -l = 5*g - 3*l - 10. What is the highest common factor of v and g? 1 Let x be (-9 + 8 - -9)*9. Calculate the greatest common divisor of x and 450. 18 Let u be 9/(-2) - 65/26 - 112. Let h = 233 + -440. Let j = u - h. Calculate the greatest common divisor of 8 and j. 8 Let d(f) = -176*f**2 - 3*f**3 - 24*f + 154*f**2 + 2*f**3 - 25. Let u be d(-21). What is the highest common factor of 38 and u? 38 Let b = 5084 + -5061. What is the highest common divisor of 1909 and b? 23 Suppose 0 = 28*v - 25*v - 888. Let c = v - 626. Let m = c - -554. What is the greatest common divisor of 32 and m? 32 Let p(d) = 3*d**3 + d**2 - d. Let m be p(1). Suppose -244 = -49*f + 50. Suppose f*r - 33 = m*r. Calculate the highest common factor of 88 and r. 11 Let z be (-1376)/(-136) + -10 + (-34266)/(-51). Calculate the highest common factor of z and 1248. 96 Let h be (-60)/4*7155/(-57) - (-2)/19. Calculate the highest common divisor of h and 28. 7 Suppose s + 4*n - 20 = 0, -4*n + 12 = -n. Suppose -6*y + 910 = s*y. Calculate the greatest common factor of 39 and y. 13 Suppose -v = 3*y - 1439 + 487, -3*v + 623 = 2*y. What is the greatest common divisor of 77 and y? 11 Let o = -67 - -85. Suppose 16*d - o*d = -16. What is the greatest common factor of d and 6? 2 Let i(u) = 3*u**2 - 12*u + 53. Let p = 194 + -182. Let z be i(p). Calculate the highest common divisor of 11 and z. 11 Suppose 0 = -2*i - 0*i + 194. Let w = i + -58. Let l = 9121 - 9069. What is the highest common divisor of l and w? 13 Suppose -3*b + 6*b + 4*h - 950 = 0, 1252 = 4*b - 2*h. Let g = -171 + b. What is the greatest common divisor of g and 13? 13 Let s be 12 + 1932/14 + -2. Let l(k) = -k**3 - 15*k**2 - 6*k + 21. Let g be l(-15). Calculate the highest common factor of g and s. 37 Suppose 74*c - 152*c + 855 = 93*c. Calculate the greatest common divisor of 895 and c. 5 Let c be 6/(202/198 + -1). Suppose f = 5 - 3. Suppose 3*b = f*q + 10 - 70, -139 = -5*q + 2*b. What is the highest common factor of c and q? 27 Let q(i) = -i**2 - 102*i - 637. Let j be q(-7). Let l(n) = -n**3 - 2*n**2 - 9*n. Let x be l(-7). Calculate the greatest common factor of x and j. 28 Let o(b) = 36*b**3 - 60*b**2 + 56*b + 3. Let h be o(1). What is the greatest common divisor of h and 3745? 35 Suppose -7*l - 1883 = -1904. Suppose 12*v - 17*v - 187 = -l*m, -5*m - 3*v = -255. Calculate the greatest common factor of m and 189. 27 Suppose -2*q - 8 = -4*g + 8, 3*q + 6 = -3*g. Let l be -4*(-3312)/22 - g/11. Calculate the highest common divisor of l and 14. 14 Let b(r) = r**3 + 12*r**2 + 11*r + 10. Let y be b(-11). Suppose 71*x = 62*x + 8640. What is the greatest common divisor of x and y? 10 Let q be 41/((-2)/(-18) - 0). Let z = 1742 - 1075. Suppose -17*r + 30 = -z. Calculate the highest common divisor of r and q. 41 Let w(k) = -k**3 + 5*k**2 + 4*k - 7. Let r be w(5). Let i = 16 + -15. What is the highest common divisor of i and r? 1 Suppose 5*r - 427 = 4*t + 1649, -4*r + 4*t = -1660. Let o = r - 386. What is the greatest common divisor of 110 and o? 10 Let o = 6 - 4. Suppose -o*q = -17 - 15. Suppose 6*l - 8*l + c = -8, 2*c = -4*l + 16. What is the highest common factor of q and l? 4 Let f = -327 + 535. Let r be 1/(-3)*(-8 - 40). What is the greatest common divisor of r
{ "pile_set_name": "DM Mathematics" }
))*-3)/sqrt(8))**2. 1584 Simplify sqrt(1872) + -1 + -2 + 1. -2 + 12*sqrt(13) Simplify sqrt(12)/(2*sqrt(4))*-2. -sqrt(3) Simplify (sqrt(190) - sqrt(190)*2)/sqrt(10)*1. -sqrt(19) Simplify (6*(sqrt(10)/(sqrt(5)*-3) + sqrt(2) - sqrt(6)/sqrt(3)*6))**2. 2048 Simplify (sqrt(96)*-5)/(sqrt(2)*-1*4). 5*sqrt(3) Simplify sqrt(50) + (sqrt(50) + -1)*-3. -10*sqrt(2) + 3 Simplify (-2 + 3 + 3*sqrt(57)/sqrt(3) + -4)**2. -18*sqrt(19) + 180 Simplify (sqrt(17) - (-2 + sqrt(17) + sqrt(17))**2) + -3 + 4. -71 + 9*sqrt(17) Simplify (sqrt(60)/sqrt(3) + 2)**2. 8*sqrt(5) + 24 Simplify (2*sqrt(22))/sqrt(2) + 3. 3 + 2*sqrt(11) Simplify 5 + (-1 + sqrt(176))**2 + 2. -8*sqrt(11) + 184 Simplify (((-1*sqrt(196) + sqrt(196))/sqrt(4))/sqrt(7))**2 - (sqrt(147)/(1*sqrt(3)))/sqrt(7). -sqrt(7) Simplify (sqrt(240)/sqrt(5))**2*-2. -96 Simplify (-3 + sqrt(1216)*1)**2 + sqrt(209)/(sqrt(11) + sqrt(11) + sqrt(77)/(1*sqrt(7))). -143*sqrt(19)/3 + 1225 Simplify (sqrt(44) - 1*sqrt(44))/sqrt(4)*-6. 0 Simplify -6*1*sqrt(17) - 4*sqrt(272). -22*sqrt(17) Simplify 2*((-1 + sqrt(19))**2 + 4). -4*sqrt(19) + 48 Simplify -2 + (sqrt(56) + sqrt(560)/(sqrt(10)*2))/sqrt(8). -2 + 3*sqrt(7)/2 Simplify ((sqrt(475) - (0 + sqrt(475)))*2)**2. 0 Simplify -3*sqrt(245) + 3 + sqrt(40)/sqrt(8). -20*sqrt(5) + 3 Simplify -1*(sqrt(5) + 0) + sqrt(55)/(sqrt(11)*1). 0 Simplify sqrt(7)*4 + -1 - (-3 + sqrt(28)/sqrt(4)). 2 + 3*sqrt(7) Simplify -1*(3 + -1*sqrt(1900)). -3 + 10*sqrt(19) Simplify 3*1*((sqrt(102)/sqrt(2))/sqrt(3))**2. 51 Simplify (2*(3 + (0 + sqrt(19) - sqrt(19))))**2. 36 Simplify sqrt(135)/sqrt(5) + 5. 5 + 3*sqrt(3) Simplify (2*sqrt(3)*-5*-2 - (sqrt(3) + sqrt(36)/(sqrt(36)/sqrt(3)) - sqrt(363)*2))**2. 4800 Simplify (2 + -1 + sqrt(833) + 3)**2 + -1. 56*sqrt(17) + 848 Simplify (sqrt(171) - (-4*((sqrt(171) - ((sqrt(171) - sqrt(171)*-4) + sqrt(171))) + sqrt(171)) - sqrt(171)))/sqrt(9). -14*sqrt(19) Simplify (3*((sqrt(17)*1 - sqrt(17) - sqrt(17)) + -2)*1)**2. 36*sqrt(17) + 189 Simplify (3*sqrt(520)*-2)/sqrt(10). -12*sqrt(13) Simplify (sqrt(114)/(sqrt(6) + sqrt(6) + sqrt(54)/sqrt(9)))**2 - (sqrt(304)*1)**2. -2717/9 Simplify ((sqrt(7) - sqrt(63))*4 - (sqrt(7) + sqrt(7) + 1 + sqrt(175)))**2 - (-2 + sqrt(7) + sqrt(7)*-2)**2*5. 10*sqrt(7) + 1521 Simplify (sqrt(336) - sqrt(21))/sqrt(3) - (((sqrt(14)*4)/sqrt(2))**2 + sqrt(7)). -112 + 2*sqrt(7) Simplify (sqrt(171)/(sqrt(9)*-3) + -5)**2. 10*sqrt(19)/3 + 244/9 Simplify ((sqrt(17) + sqrt(68)/sqrt(4)*-5)*-6)**2. 9792 Simplify ((sqrt(175)/sqrt(5))/sqrt(7) + 0)**2. 5 Simplify (0 + sqrt(832) + 1 + -3)**2. -32*sqrt(13) + 836 Simplify (3 + 1*sqrt(171) - (2 + sqrt(171) + 5))**2. 16 Simplify (2*-2*sqrt(117))/(sqrt(81)/sqrt(144)). -16*sqrt(13) Simplify sqrt(72)/(sqrt(6) - sqrt(96))*-4. 8*sqrt(3)/3 Simplify (sqrt(77)/((sqrt(63)*1)/sqrt(9)))**2. 11 Simplify -4 + (-1*sqrt(243))**2 + sqrt(243). 9*sqrt(3) + 239 Simplify 0 + sqrt(50) + 2 - (sqrt(2) + -1 - sqrt(2))*1*-2. 5*sqrt(2) Simplify (sqrt(3)*-1 + -4)**2 + (sqrt(363)*1)**2 - sqrt(24)/(sqrt(800)*2). 159*sqrt(3)/20 + 382 Simplify -1*(1 + sqrt(175)). -5*sqrt(7) - 1 Simplify sqrt(190)/(sqrt(40)/sqrt(4)*-1)*-6. 6*sqrt(19) Simplify (sqrt(768) + -4)**2 - sqrt(36)/(sqrt(12) - -2*sqrt(588)). -1921*sqrt(3)/15 + 784 Simplify sqrt(65)/(sqrt(180)*-6). -sqrt(13)/36 Simplify sqrt(22)/((sqrt(10) - sqrt(20)/sqrt(2))/sqrt(5) - sqrt(2)). -sqrt(11) Simplify -5 + 3 + 0 + 2 + sqrt(19). sqrt(19) Simplify ((6*(2*sqrt(65) + sqrt(65)))/sqrt(180))**2. 117 Simplify ((-3*(1 + sqrt(567)) - sqrt(567) - ((-6*1*sqrt(567) - sqrt(567)) + sqrt(567))) + 4)**2. 36*sqrt(7) + 2269 Simplify ((sqrt(15)*-1)/sqrt(3))**2 + sqrt(5) - (sqrt(5) - (sqrt(5) + 1 + sqrt(5))*5)**2. -425 - 89*sqrt(5) Simplify -3 + (-3 + sqrt(7) + sqrt(7) + 1 + sqrt(7))**2. -12*sqrt(7) + 64 Simplify (-3*2*(-3 + sqrt(187)/sqrt(11) - sqrt(17)))**2. 324 Simplify (4 + sqrt(228)/sqrt(3) + (sqrt(684) - -1*sqrt(684)))**2*4. 448*sqrt(19) + 14960 Simplify sqrt(27)/sqrt(36) - (6*sqrt(6)/sqrt(2))**2. -108 + sqrt(3)/2 Simplify sqrt(63)/(-1*-2*sqrt(9)). sqrt(7)/2 Simplify 3*sqrt(11)*1*-3. -9*sqrt(11) Simplify (sqrt(30)/sqrt(6)*2 + (sqrt(5) - (sqrt(320) + (sqrt(320) - sqrt(320)*1))))**2. 125 Simplify (sqrt(1300)*-1)**2 - -1*(-1 + sqrt(13)). sqrt(13) + 1299 Simplify (sqrt(1008) + 0 + sqrt(1008) + sqrt(1008) - (sqrt(7) - ((sqrt(7)*2)**2 + -5 + sqrt(7) + sqrt(7)))) + -3. 20 + 37*sqrt(7) Simplify (5*3*sqrt(425) - ((-2 + sqrt(425))*1 - sqrt(425)))**2. 300*sqrt(17) + 95629 Simplify (sqrt(48))**2 + (4*sqrt(15)/sqrt(5))**2. 96 Simplify
{ "pile_set_name": "DM Mathematics" }
ultiple of c and p? 20 Suppose -2*c = 5*m - 4*c - 53, 61 = 5*m - 4*c. Let w = 41 - m. Suppose -6*o + 3*o = 2*p - w, o = -p + 14. Calculate the least common multiple of p and 14. 70 Let l be 26461/(-10) + (-3)/(-2). Let f = l + 211123/80. What is the common denominator of f and 1/2? 16 Let o = -9 + 29. Let i(b) = -4*b + 2. Let w = -4 - -1. Calculate the smallest common multiple of i(w) and o. 140 Suppose -4*w - 83 - 27 = -2*d, d = -w - 23. What is the common denominator of 1/(((-6)/w)/(-3)) and 91/4? 4 Suppose 2*x = -2*x - 132. What is the common denominator of (18 + 0)*44/x and -63/2? 2 Suppose 1 = -4*j + 61. Let f = -11 + j. Calculate the lowest common multiple of f and 5. 20 Let m = -50491/8 - -6321. What is the common denominator of -67/30 and m? 120 Let l(u) = -2*u. What is the lowest common multiple of 14 and l(-10)? 140 Suppose -4*r + 7 = -3*m - 19, 3*r - 15 = 0. Calculate the common denominator of -21/2 and 1 + m + 86/(-16). 8 Suppose -4*q - q + 40 = 0. What is the least common multiple of q and 6? 24 Suppose 4*d = 2*d + 44. Calculate the least common multiple of 3/3*20*1 and d. 220 Let f = 32 + -12. Calculate the smallest common multiple of 4 and f. 20 Let y = 82945/18 - 4610. What is the common denominator of y and (166/42)/(2/(-3))? 126 Let z(o) = 4*o - 12. Let p be z(5). Suppose 6 - 2 = a. Let y = p + a. Calculate the lowest common multiple of y and 16. 48 Let d = 43658/57 - 766. Calculate the common denominator of d and -19/36. 684 Suppose 5*g = g - 48. Calculate the common denominator of (22/g)/((-5)/75) and 27/4. 4 Let s(p) = 9*p + 1. Suppose 31 = l - 3*o + 5*o, -5*o - 125 = -5*l. Let x = -7 + l. What is the smallest common multiple of x and s(1)? 20 Suppose -5*l - 3*b = -22, 3*l + 2*b + 2*b - 22 = 0. Let s = l + -3. Find the common denominator of s/((-24)/(-87)) - 2 and 20/9. 72 What is the least common multiple of -5*(-1 - 9/(-15)) and 2/(21/(-24) - -1)? 16 Suppose 0*p + p = -d - 5, 0 = d - 5*p - 19. Let s = 1 - d. Find the common denominator of -41/4 and -2 + -23*s/(-8). 4 Let k = -5881/910 - 21/65. Let n = -11905186 + 238189267/20. Let j = n - 4275. Find the common denominator of k and j. 140 Suppose -2*d + 4*d = 24. Suppose 2*q - 5 = 4*a - 5*a, 2*q + 2*a = 4. What is the least common multiple of 1/(-3) + 43/q and d? 84 Let g = 6 - -16. Let n = -16 + g. Calculate the lowest common multiple of n and 5. 30 Let r be 2 + -1 + 63801639/(-30). Let t = 2131060 + r. Let i = t - 4347. Find the common denominator of -36 and i. 10 Let r = 267/70 + -68/7. Suppose 113 = -5*y + 43. Calculate the common denominator of 4/y + (-1532)/(-168) and r. 30 Suppose 2*c - 5*g = 4*c - 16, -4*c = -5*g - 32. Calculate the common denominator of (-1)/12*(-816)/(-9) and c/(-20) + (-894)/40. 36 Suppose 7*g = 6*g - 2. Let k = 16 - g. What is the lowest common multiple of 10 and k? 90 Suppose -4*x + 16 = -3*b, 0*x + 11 = -x - 3*b. Find the common denominator of 10/7*(-161)/12 and x + 303/(-60) + -2. 60 Let c(x) = 10*x**2 - x. Find the common denominator of -13/7 and c(-2). 7 What is the common denominator of (58/18)/(4/8) and (-2)/(-8) + 69/(-12)? 18 Let z(s) = -2*s - 4. Suppose -i = -13 - 1. Suppose -i = 4*l + 10. What is the lowest common multiple of z(l) and 6? 24 Let k be 844/(-16) + 1/(-4). Calculate the common denominator of -3 - k/(-4)*-2 and 37/18. 18 Let f = 7 + 11. Calculate the smallest common multiple of f and 8. 72 Let m be (-130)/28*7/126. Let r = m + 1/28. What is the common denominator of 15/4 and r? 36 Suppose 4*x + 46 = -62. Let i = x + 41. What is the lowest common multiple of i and 16? 112 Let m be -12 - (0 - (-3 + 3)). Let q be ((-4)/m)/(2/6). Let r(s) = 8*s + 1. Calculate the smallest common multiple of 3 and r(q). 9 Let g = -56/11 - -349/88. Calculate the common denominator of 3/7 and g. 56 Suppose 3*s = 4*g + 11, -4*s - 2*g - 2*g + 24 = 0. Suppose o + 4 = 2*j, -j = 3*j + s*o - 22. What is the lowest common multiple of 10 and j? 30 Let w = -21 - -29. What is the lowest common multiple of w and 20? 40 Suppose -4 = f + 5*k, -20 - 8 = -f + 3*k. Calculate the least common multiple of f and 8. 16 Let i(d) = d**3 - 3*d**2 + 2*d + 3. Let o = 6 - 10. What is the smallest common multiple of i(3) and (-69)/(-6) + 2/o? 99 Suppose -4*s + 11 = -s - k, 21 = 5*s + k. Calculate the lowest common multiple of 4 and s. 4 Let o = -4943/1071 + 60/119. Let t = -1144 + 8058/7. Calculate the common denominator of t and o. 63 Suppose 2*a + 3 = 1. Let q = 6 + -6. Calculate the smallest common multiple of q/a + -1 - -11 and 6. 30 Suppose 2*r = -4*o - 9 - 5, 2*o + 16 = 2*r. What is the least common multiple of 18 and r? 18 Let x be 1/(208/167) + -1. Let o = 1944463/1456 + x. Let t = o + -1330. Find the common denominator of t and 75/4. 28 Find the common denominator of 31/2 and (3/34)/((-6)/(-568)*4). 34 Suppose 0 = l - 3 + 1. Suppose 2*u + 6 = y, -2*u - 43 = -5*y - 5*u. What is the least common multiple of l and y? 8 Let p = -55 - -61. What is the least common multiple of 6 and p? 6 Let x = 252 - 1790/7. Suppose -2*v + 126 = 4*i, 2*v + 72 = 3*i - i. What is the common denominator of x and i? 7 Let m = 76691/10 + -7681. Let y = 3 - 2. Calculate the common denominator of 2/4*y - 27 and m. 10 Let i = 1 - -1. Suppose 0*o - 26 = i*o. Calculate the common denominator of o and -47/9. 9 Let k(z) =
{ "pile_set_name": "DM Mathematics" }
osest to i in -3, f, 1/6? 1/6 Let q be 3*3*2/6. Let f be ((-99)/44)/((-3)/36). Let g be (q - 7) + f/7. Which is the nearest to -1? (a) 4 (b) g (c) 0 b Let h = -3129 - -3130. What is the nearest to -2/7 in -2/25, 1/5, 0.5, h? -2/25 Let n = -10 + 5. Let s = -1918.3 + 1918. What is the nearest to -11 in s, 0.2, n, -3? n Suppose 2*t = -2*s + s, 2*t = -3*s - 4. Suppose -7 - t = -4*c. What is the nearest to 3 in -5, -0.5, c? c Suppose -123 + 131 = -4*z. What is the closest to z in 2/7, -2, 0.3? -2 Let o = 21914.27 - 21914. Which is the closest to o? (a) 4/7 (b) 3.1 (c) 2/3 (d) 5 a Let c be (-8265)/203 + 24 - -15. Let b = 0.38 - -16.62. Let v = -12 + b. What is the nearest to c in 3/2, v, 4? 3/2 Let k = 23.355 - 31.955. Which is the nearest to -1? (a) -4 (b) -0.06 (c) k b Let q = 190.74 - 190.54. Which is the nearest to 1/2? (a) q (b) -1 (c) 5 (d) -0.1 a Let f be (-28)/(-3)*(-1080)/140. Let n be (-46)/f - (-18 - 213/(-12)). Let x = -0.08 - 0.22. Which is the closest to 0? (a) 1/6 (b) n (c) x a Let n be ((-30)/(-35) - 1)*((3 - -4) + -5). Let m = 1 - 1. Let d = -25.1 + 26.1. What is the closest to -3 in m, n, d? n Let k = -301.03 + 305.03. Which is the nearest to 2? (a) 3/8 (b) -4/3 (c) -4 (d) k a Let r = -1 - 15. Let x = r - -16.3. Let s = 0 + -0.2. What is the nearest to -2 in s, x, 2? s Let o = -221.48 - 5.52. Let w = o + 226. What is the nearest to -2/7 in -0.3, 2/7, -4, w? -0.3 Let p = 4845.3 - 4551. Let z = -294 + p. Which is the nearest to -0.1? (a) -1/3 (b) z (c) 3/2 a Let q = 0.076 - -0.106. Let x = q + -0.182. What is the closest to x in -1/18, -1, -5? -1/18 Let u be 39/78*(-28)/10 + 1. Which is the closest to u? (a) 3 (b) -1/11 (c) -5 (d) -0.5 d Let t = -36.34 - -23.34. Which is the closest to t? (a) 0.4 (b) -1/6 (c) -2/3 (d) -1 d Let c = -1899763593/1441 + 1318365. Let q = c - 10/131. What is the nearest to -1 in -0.12, 5, q? -0.12 Let w = 21.4 - 37.5. Let g = -0.1 - w. Which is the closest to 0? (a) 1 (b) g (c) 2/7 c Let t(k) = 8*k - 8 + 0*k - 6*k + 0*k. Let g be t(-5). Let u be (-48)/(-22) - (3 - 1). Which is the closest to -2/5? (a) 0 (b) u (c) g a Let r = -15526 - -15396. Which is the closest to 1/4? (a) r (b) -0.1 (c) -3/7 (d) -0.5 b Let u = -956 + 953. What is the nearest to -10/11 in 6, 2/7, u? 2/7 Let t = 58 + -48. Let i = t - 9.987. Let r = -3.013 + i. Which is the nearest to -0.05? (a) -1 (b) r (c) 0 c Let i = -22.52 - -20.52. What is the closest to -2/3 in i, -1/2, 7? -1/2 Let t = -0.06 + 0.56. Let s = t + 2.5. Let g(u) = -12*u**2 + 65*u - 27. Let h be g(5). Which is the closest to 0.1? (a) s (b) 0.1 (c) h b Let l = -2482 + 2486. Which is the closest to 11/2? (a) l (b) 3 (c) -5 (d) 0.5 a Let h = -41745 + 41745.3. What is the closest to -4 in -1.3, 1.9, -4/5, h? -1.3 Let w = -622.9 + 624. Which is the nearest to -3? (a) -1.6 (b) w (c) 5 a Let c = -14.98689 - -0.08689. What is the nearest to -0.1 in c, 0.4, -3? 0.4 Let l be 2/4*(-24)/(-20). Let x = 32206 - 32205.6. What is the closest to -2/7 in l, x, -4, -4/5? -4/5 Let n = -275 + 275.114. Let j = -4.886 - n. Which is the nearest to -11? (a) j (b) 2 (c) 5 a Let f = -29 + 19. Let k be f/(-48)*(-3 - -1). Let s = 47286 + -47285.9. Which is the nearest to s? (a) -0.3 (b) k (c) 4/3 a Let y = 21.08 + -0.08. Let d = 21.4 - y. Let u = -34 - -34.3. Which is the closest to -6? (a) 0.1 (b) d (c) u a Suppose -422*m + 427*m + 4*c = -471, -5*c = -30. What is the closest to m in 4, 0.4, -58? -58 Let p = -39.2 - -39. Let f = 0.4 + p. Suppose 10*k = -28 - 2. Which is the closest to 2/7? (a) 0.1 (b) k (c) f c Let u = 241.2 - 282. Let w = 40.8 + u. What is the nearest to w in -0.4, -2/19, -2/7, 1/12? 1/12 Let s be (5 + -1)*(0 - -6)/18. Which is the nearest to -1? (a) -0.1 (b) s (c) -2 a Suppose 3*v - 198 = -21. Let u = 237/4 - v. Let z = -20 + 19. Which is the closest to u? (a) -5 (b) z (c) -2/5 c Let g = 0.3 + -0.4. Let b = -1230 + 1229.68. Let o = -0.02 - b. What is the closest to -2 in g, -1.1, o? -1.1 Let w = 109/531 - -1/59. Let i = -1/7 + -3/28
{ "pile_set_name": "DM Mathematics" }
bigger: s or o? o Let j(g) = 2*g**2 + 33*g + 44. Let p be j(-15). Let n = 7 + 19. Let o be n/22 - (0 - -1). Which is greater: o or p? o Suppose i - 2 = 0, -u - 36 + 5 = -i. Let y = 33 + u. Suppose -2*s + 3*c = -y, 2*s - 4 - 4 = 5*c. Which is greater: s or 0? 0 Let d = 1152/7 - 70293/427. Which is smaller: 1 or d? d Suppose -4*r = -3*s - 27, -8*r + 3*s = -3*r - 36. Let x = 122 - r. Let l = x + -80. Are l and 34 unequal? True Let b = 118.5 + -67.5. Is b smaller than 20? False Let p = -23.2 + -223.8. Let d = -247.4 - p. Is d less than 12? True Let a be (-1)/((-81)/(-238)) + 2 + 1. Let x = -1907/28269 + a. Let s = 343/1047 - x. Which is smaller: 1 or s? s Suppose 4*y = x - 26, -5*x - 5*y + 2 + 3 = 0. Let s(a) = a - 16. Let f be s(x). Let m be (-2)/(1/f*2). Which is greater: m or 2? m Let u(o) = 2*o**2 - 7*o + 5. Let z(h) = -4*h - 28. Let b be z(-8). Let v be u(b). Suppose -10*j + 88 + 12 = 0. Which is smaller: j or v? v Let k = 31 - 28.2. Let g = 709 - 716.8. Let a = g + k. Which is greater: -4 or a? -4 Let t(f) = -8 - 9 - 13*f - 10 + 17. Let x be t(-5). Suppose 13 = -3*p + x. Which is greater: p or 15? 15 Let q = 84 + -84. Suppose q*z - 21 = -7*z. Suppose -z*j = 40 - 64. Do 4 and j have the same value? False Let h = 162289/23088 - 337/48. Which is smaller: -1 or h? -1 Let o = -30254 + 30665. Are o and 1231/3 nonequal? True Let f = -8500 + 16351/2. Let k = -324 - f. Is 1/2 at most k? True Let m be -177*(-1)/26*(-280)/(-6). Let i = 318 - m. Which is smaller: 4/9 or i? i Let m = -2 + -16. Let c = m + 18. Let a = 9.06 + -8.86. Which is smaller: c or a? c Let x = 4.8 - 5. Let a(j) = -j + 7. Let q be a(-5). Is q <= x? False Let k = -5865.8 - -5866. Is -1110 bigger than k? False Let u be (-4325)/(-173)*68/10. Which is greater: 31 or u? u Let p = 0.046 - 18.046. Let z = p + -1. Let y = z + 19.11. Which is smaller: y or 2/5? y Let l = 55 + -48. Suppose h - l - 16 = -5*i, -4*i - 5*h = -31. Let g = 0 - i. Which is smaller: 2 or g? g Suppose -2*w = -5*o + 1456, 12*w + 879 = 3*o + 9*w. Which is smaller: 274 or o? 274 Let d = -1414.9 + 1414.9. Let s = 0.1 + 0. Let n = s + 0. Are n and d unequal? True Let c = 5542 + -5541.9895. Which is greater: -6 or c? c Let x = -0.35254 + -1.61746. Is x <= -2/5? True Let f = 2380/13 + -73806/403. Let c be (-17 - -7)*(-3)/5. Let y be (-3)/c - (-2)/(-4). Which is smaller: f or y? y Let t = -210 - -209.73. Let s = -638.73 + 643. Let i = t + s. Is 2 != i? True Suppose 3*a - 6 = 3*r, -2*r - a - 7 = -12. Let o be 9925/(-875) - r/(-7). Which is smaller: o or -12? -12 Let l = 2941 + -2665. Which is smaller: 272 or l? 272 Let c be 10/(-25)*(106596/(-5424) - -19). Is c at least 1? False Let h = 109.35 + -112.35. Is h smaller than -2908? False Suppose -2*m = 4*l - 16, 109*m = 105*m + 2*l - 18. Which is smaller: m or -77/62? m Suppose 0*f - 2*f = 4*p - 20, 0 = -4*f + 2*p. Let c(d) = -2 + f*d - 2 - 6*d + 0. Let v be c(-1). Which is greater: v or 2/171? 2/171 Suppose 27*k - 601 = 371. Is k >= 81? False Let x be 4 + (-12)/(-9)*135. Let z = 159 - -24. Which is smaller: x or z? z Suppose 4*g - 339 = 5*o, 0 = -2*g - 0*g + 5*o + 157. Let f = g - 111. Let k(u) = -17*u - 2. Let y be k(1). Is y >= f? True Let a be ((-135)/6)/(-3) + 2/4. Suppose 3*j + 5*l = -3, a*j - 11*j = -3*l - 21. Which is smaller: 37 or j? j Let o be (-2)/13 + (-15892)/(-5616). Let p = 11/4 - o. Let t be 8/10 - 231/420. Do t and p have the same value? False Let b(s) be the third derivative of s**5/6 + s**4/24 + s**3/6 - 27*s**2. Let a be b(-1). Let z be (2 - (0 - -1))/(a/(-50)). Are z and 1 nonequal? True Suppose 5*h + 139 = -b - 72, b = 4*h + 176. Let y = 23531 - 165019/7. Let m = h - y. Which is greater: -3 or m? m Let h = -23 + 59. Let m(f) = f**3 + 7*f**2 + 8*f - 6. Let j be m(-5). Suppose -2*u - t - 15 = 0, -2*u - h = -j*t - 6. Which is greater: u or -13? u Suppose 5*h - 20 = -2*w, 5*w - h - 21 - 2 = 0. Let s be 752/1840 - 2/w. Is -0.1 at least s? False Let z be (0 - 414/(-418)) + (-38 - -37). Let n = 472/5643 + z. Suppose -3*o + 2 + 1 = 0. Which is smaller: o or n? n Suppose -24*b = -28*b + 4996. Suppose -1523 - b = -14*z. Suppose -5*r + 16*r = z. Which is bigger: r or 19? 19 Let n = 0.647 - 0.62. Let y = n + -0.137. Let a(j) = -j**3 + 6*j**2 + 5*j + 17. Let k be a(7). Which is smaller: k or y? y Let i = -30 - -18. Let v = i - -11.9. Let c = v - 1.9. Are c and -2 unequal? False Let n = 7 - 12. Let y be (-10983)/(-3138)*(-1 - 18/14). Is n < y? False Let n = 19.7 + -6.8. Let b = n + -12.74. Let i = -
{ "pile_set_name": "DM Mathematics" }
4*h + 8. Suppose -2*z - m - 3 = 0, 3*z - 5*z - 4*m = 12. Suppose -2*b - 8 = -z*b. What is the remainder when 118 is divided by w(b)? 22 Let g = -44 + 64. Suppose -1767 + 311 = -13*b. What is the remainder when b is divided by g? 12 Suppose -6*n + 3*n + 15 = 0. Let l = 5573 + -5290. Suppose -n*q + 4*v + l = -0*v, -3*q - 4*v + 157 = 0. Calculate the remainder when q is divided by 29. 26 Suppose -2*c + 4*c - 22 = 0. Let m(z) = -41*z - 46*z - 16 + 103*z. What is the remainder when m(5) is divided by c? 9 What is the remainder when (-1216)/(136/(-17)) + (4 - 1) is divided by 36? 11 Let f = 25 + 222. Suppose -184 + f = 9*k. Calculate the remainder when 42 is divided by k. 0 Suppose 19694 = 176*w + 4382. Calculate the remainder when 224 is divided by w. 50 Let c(f) = -f**2 + 71*f - 963. Calculate the remainder when c(32) is divided by 128. 29 Suppose 3*f + 8 = -2*g - 8, 0 = -3*g + 5*f + 14. Calculate the remainder when 95 is divided by 5133/295 + g/5. 10 Let k(q) = 153*q + 922. Calculate the remainder when k(-5) is divided by 32. 29 What is the remainder when (-26 + 0)*(-11 + (-2 + -6 - 0)) is divided by 489? 5 Suppose 105 = 2*f - m, -101 = -2*f - 4*m + 9. Calculate the remainder when 459 is divided by f. 35 Suppose -5*w = -11 - 24. Calculate the remainder when 19 + 5928/169 + 2/(-26) is divided by w. 5 Let l = 1336 - 1084. What is the remainder when l is divided by 22? 10 Let a(n) be the first derivative of -28*n**2 - 16*n + 73. What is the remainder when a(-2) is divided by 29? 9 Let g = -10701 - -10734. What is the remainder when 2091 is divided by g? 12 Let z be ((-284)/(-213))/(-1 - 5/(-3)). Calculate the remainder when -3*((-54 - -3) + z) is divided by 42. 21 Let i = -971 - -991. Calculate the remainder when ((-198)/(-4))/((-2)/(-4)) is divided by i. 19 Suppose 3*z - 4*g = 5*z - 110, g = 2*z - 125. What is the remainder when z is divided by 53? 8 Let l(u) = u**3 + 31*u**2 - 101*u + 49. Let t be l(-34). Suppose -17*g = -359 - t. Calculate the remainder when 39 is divided by g. 17 Let y = 7840 + -7331. Calculate the remainder when y is divided by 32. 29 Suppose -4*z + 8 = -4*q, -z + 3*q = -2 - 0. Suppose -3*x = -4*b + 2028, -2535 = -3*b - 2*b - z*x. Calculate the remainder when b is divided by 85. 82 What is the remainder when -8 - (2329430/(-511) + 3/(-7)) - 3 is divided by 25? 23 Let n be 1 + (-219)/6*4/(-2). Suppose n + 130 = 2*g. What is the remainder when g is divided by 8? 6 Calculate the remainder when (-84)/36 - (-10)/(-30)*-19537 is divided by 148. 146 Suppose -8*f = -w - 10*f + 18, 3*w - 50 = -4*f. Suppose w*j - 13*j = -4*p + 62, -3*j + 4*p = -122. What is the remainder when j is divided by 12? 10 Let o = 171 + -171. Suppose o*i - 5*i + 45 = 0. Calculate the remainder when 51 is divided by i. 6 Let z be ((-3)/5 - 129/(-15)) + 3. Suppose -z*i - 14 = 85. Let d = i - -50. What is the remainder when 161 is divided by d? 38 What is the remainder when 1125 is divided by (-2874)/(-18) + -10 + (-44)/(-33)? 68 Suppose -4*m = -z - 3*m - 1, -4*m - 8 = 0. What is the remainder when 15953/129 - z/(9/(-2)) is divided by 14? 11 Let m be -6 + 201 + -2 - -1. Let i = 316 - m. Calculate the remainder when i is divided by 31. 29 Suppose 3*g - 34 = 2*h, 4*g - 3 - 73 = -5*h. Suppose 4*d - 4*b = 424, 19*d + 4*b + 214 = 21*d. What is the remainder when d is divided by g? 7 Suppose 3*x - 808 = -5*u, -11*u - 467 = -12*x + 10*x. Calculate the remainder when x is divided by 20. 1 Let f(o) = 3*o**2 + 11*o + 41. What is the remainder when f(-10) is divided by ((-96)/(-32))/((-3)/(-29))? 28 Let a(h) = -11 - 1 - 117*h + 118*h. Let x be a(-13). Let f = 44 + x. Calculate the remainder when 36 is divided by f. 17 Suppose 0 = -4*c + 3*r + 936, -41*c - 4*r - 260 = -42*c. What is the remainder when 54263 is divided by c? 227 Let k = -313 + 330. Calculate the remainder when 1 + (k - -2) + (-105)/(-21) is divided by 20. 5 Suppose 8*i - 5*i - 5*d - 23650 = 0, 5*d = 4*i - 31545. What is the remainder when i is divided by 247? 238 Suppose 3*y + 6 + 3 = 0, -5*t = -4*y - 372. Calculate the remainder when 78 is divided by t. 6 Suppose p + 177 = 4*p. Let q(a) = a**3 + 8*a**2 - 6*a + 5. Calculate the remainder when q(4) is divided by p. 55 Let d = 95 + 28. Let a = -111 + d. Calculate the remainder when 32 is divided by a. 8 Suppose -p = 3*o - 238, 0 = -3*o - 20*p + 16*p + 241. Calculate the remainder when 4025 is divided by o. 75 Suppose -583 = -170*o + 159*o. What is the remainder when o is divided by 9? 8 Let c = -27489 + 27493. Suppose 0 = 3*n + 9, 3*b - 3*n - 15 = -n. Suppose b*q + 3*m = 195, 4*m = -3*q + 2*q + 53. What is the remainder when q is divided by c? 1 Suppose 1903*j - 1568 = 1895*j. Suppose 0 = -2*n + 7*n - 150. Calculate the remainder when j is divided by n. 16 Let g = -198 - -205. Suppose 2 = n + 4*t, -2*n + 8*t = g*t - 13. Calculate the remainder when 22 is divided by n. 4 Let f(d) = -d**2 - 8*d + 9. Let h be f(-5). Suppose 23 = 4*c - 3*c. Calculate the remainder when c is divided by (5/20)/(2/h). 2 Let j = 7 + 2. Suppose 5*u + 3086*w = 3085*w + 54, 0 = u - 2*w - 24. Calculate the remainder when u is divided by j. 3 Suppose -389*w = -36 - 7355. Suppose -5*p - 14 = 2*u - u, -2*p - 3*u - 16 = 0. Calculate the remainder when (p + 1)*-1*49 is divided by w. 11 Let m(s) = s**3 - 9*s**2 + 12*s - 12. Let v be (1 + 4 + -10)*1 - -13. What is the remainder
{ "pile_set_name": "DM Mathematics" }
Expand (3 - 1 - 1)*(-9*y + y**2 + 9*y)*((-5 + 0 + 4)*(2 - 7 + 3) - 2 + 4 + 1)*(2 + 0 - 4)*(0*y**2 - 2*y**2 + 4*y**2) + 7*y**4 + 8*y**4 - 8*y**4. -13*y**4 Expand -2*w**4 - 1 + 1 + (-6*w**2 + 6*w**2 + 4*w**3)*(-229*w + 104 - 104). -918*w**4 Expand (-5*t + 12*t + 10*t)*(174 - 86 - 24)*(-1 - 2 + 2). -1088*t Expand (4*u - 3*u + 2*u)*(2 - 2 - 2*u**2)*(1773 - 5870 + 2478)*(2 - 3 + 2). 9714*u**3 Expand (0*f**5 + 4*f**5 - f**5)*(-1 - 1 + 4) + (9 - 9 + 4*f)*(-12*f**4 - 29*f**4 + 7*f**4) + 0*f + 0*f - f**5. -131*f**5 Expand (-224*v**2 + 110*v - 201*v**2 - 111*v)*(-1 + 1 - 2*v). 850*v**3 + 2*v**2 Expand (-148*k + 14*k + 9*k)*(-3*k - 3*k + 5*k + 6). 125*k**2 - 750*k Expand 207*v**2 + 261*v**2 - 497*v**2 + 3 - 1282*v**2 + (3*v + 0*v - 4*v)*(-4 + v + 4). -1312*v**2 + 3 Expand (-318 + 636 - 293)*(-3*z + 0*z + 0*z). -75*z Expand -164*b + 32*b - 88*b + (b + 0 + 0)*(1 + 0 + 1) + b - 2*b + 0*b + (-8 + 2 + 8)*(-5 + b + 5). -217*b Expand (1 - 2 - 1)*(1 - 1 + d) - d + 2*d + 0*d - 392*d - 728*d + 418*d. -703*d Expand -43072*y + 43072*y - 12802*y**4 + (1 - 1 - y**2)*(4*y - 2*y**2 - 4*y) + 5*y**4 - 2*y**4 + 0*y**4. -12797*y**4 Expand (212 - 37*z - 212)*(83*z - 19 - 18 + 39). -3071*z**2 - 74*z Expand -8*i - 11*i + 24*i + 4*i**2 + (2*i - 9*i - 12*i)*(0*i + 6*i - 2*i). -72*i**2 + 5*i Expand (-14 + 106*l - 2 + 9)*(-5*l**4 - 3 + 3). -530*l**5 + 35*l**4 Expand (-6 - 3 + 26)*(1182*d + 213*d**2 + 84*d**2 - 1184*d). 5049*d**2 - 34*d Expand (-13*v - 9*v + 3*v)*(71*v + 88*v - 113*v). -874*v**2 Expand (-34*g**2 + 14*g**2 - 5 + 19*g**2)*(124*g**2 - 44*g**2 + 67*g**2). -147*g**4 - 735*g**2 Expand (8*d + 11*d**3 - 8*d)*(-50*d**2 + 60*d**2 - 68*d**2) - 2*d**5 + 2*d**5 - d**5 - 4*d**5 + d**5 + 5*d**5. -637*d**5 Expand (-32 + 10 + 1 + (-12 + 6 + 3)*(1 + 1 + 0))*(0*r - r + 0*r)*(r**2 - 4*r**2 + 4*r**2). 27*r**3 Expand (2*d**4 - 5*d**4 + d**4)*(84*d + 112 - 112) - 5 - 3*d**5 + 5 + (-1 + 1 + d**4)*(-5*d + 0*d + 4*d). -172*d**5 Expand (-20 + 20 + 14*m)*(3*m**4 + 240*m**3 - 240*m**3 + 15*m - 15*m + 2*m**4 + 2*m**4 - 5*m**4 + m**4 + (-2*m**3 + 3*m**3 - 3*m**3)*(-4 + m + 4)). 14*m**5 Expand (-1 - c + 3*c - 3*c)*(14 - 81*c + 384*c - 16) + 2*c**2 - 5*c**2 + 4*c**2 + (2*c + c - 4*c)*(0*c + c + 0*c) + 3*c**2 + 0*c + 0*c. -300*c**2 - 301*c + 2 Expand (4*b + 9*b - 7*b)*(-5*b + 3*b - 6*b)*(6 - 6 + 8*b**3). -384*b**5 Expand -3*v**4 + 0*v + 0*v + (-28*v**2 - 25*v**2 - 14*v**2)*(4 - 4 + 2*v**2) + (-v**3 + 3*v**3 - v + 0*v**3)*(-3*v + 4*v - 2*v). -139*v**4 + v**2 Expand (179 - 179 + 11*n**2)*(-3 + 2 + 2 - n)*(-1 + 2*n + 1) - 2*n**3 + 2*n**3 + 85*n**4. 63*n**4 + 22*n**3 Expand (-22*p**3 + 29*p**3 + 77*p**3)*(5*p**2 - 3*p**2 + 0*p**2) + 0*p**5 - 2*p**5 - p**5. 165*p**5 Expand (-2*c + 3*c - 3*c)*(-6 + 4 - 2)*(-224*c + 26587 - 26587). -1792*c**2 Expand (m + 2 - 2)*(2560 - 55 - 863). 1642*m Expand (5 + 0 - 4)*(1 - 4 + 5)*(-4*p + 4*p + p**2)*(-542*p**2 - 70*p**2 + 54*p**2). -1116*p**4 Expand (22*y + 114 - 114)*(-3*y + 3*y - 2*y**2) + y**3 - 224 - 238 + 477. -43*y**3 + 15 Expand (91*n + 3*n**2 - 91*n)*(2*n + 4*n - n)*(-22 + 68 + 46). 1380*n**3 Expand (5 + 8 - 6)*(6*d - 92*d - 15*d) + 3 - 2 + d - 3. -706*d - 2 Expand (3 - 3 - 4)*(2472 + 41*k - 2472)*(-4*k**2 - 4*k**2 + 0*k**2). 1312*k**3 Expand (3*l - 4*l + 0*l)*(-31 - 99*l + 228*l - 137*l)*(2 - 5 + 1). -16*l**2 - 62*l Expand -746 + 1492 + 98*r**2 - 751 + (-17 + 18 + 8)*(-4*r**2 - 2*r**2 + 4*r**2). 80*r**2 - 5 Expand ((0 + 2 - 3)*(2 - 4 + 3) + 0 - 6 + 3)*(k**2 - 13844*k - 496 + 13844*k). -4*k**2 + 1984 Expand (-339 - 257*p**2 + 339)*(p + 0*p**2 + 4*p**2 - 2*p). -1028*p**4 + 257*p**3 Expand -9*j**2 - 35 + 35 + 0*j**2 + 0*j**2 + 2*j**2 + (-2 - 2 + 2)*(-2*j**2 + 1 - 1) + (2*j + 3*j
{ "pile_set_name": "DM Mathematics" }
ond derivative of c*j**o - j + 2*j + j wrt j. 24*j**2 Let g(d) be the first derivative of -7*d**4/2 + d**3/3 - 35*d + 52. What is the third derivative of g(h) wrt h? -84 Let b(p) = 8*p**3 - 3*p**2 - 2*p. Let h(z) = -z**3 + z**2. Let l(x) = b(x) + 3*h(x). What is the second derivative of l(q) wrt q? 30*q Let p(a) be the second derivative of 0*a**6 + 0*a**2 + 0 + 1/6*a**4 + 0*a**3 + 0*a**5 - 5/42*a**7 + 3*a. What is the third derivative of p(z) wrt z? -300*z**2 Let h(l) be the first derivative of 1 + 0*l**3 + 1/4*l**4 + 0*l**2 - l. Differentiate h(u) wrt u. 3*u**2 Let y(i) be the first derivative of -2 + 2*i + 0*i**2 + 0*i**3 - 3/4*i**4. What is the first derivative of y(f) wrt f? -9*f**2 Suppose 3 = 3*o - 12. Find the second derivative of 8*i - 5*i + 5*i - 6*i**o wrt i. -120*i**3 Let d(i) be the second derivative of i**8/420 - i**5/60 + i**3/2 + 4*i. Let l(w) be the second derivative of d(w). Find the second derivative of l(q) wrt q. 48*q**2 Let w(j) be the first derivative of j**6/10 + j**2/2 + 3*j + 3. Let i(u) be the first derivative of w(u). Differentiate i(s) wrt s. 12*s**3 Let p(w) = 10*w**2 + 14*w. Let k(g) = -g**2. Let i(r) = 4*k(r) + p(r). What is the second derivative of i(a) wrt a? 12 Let t(q) be the third derivative of -q**9/28 - 3*q**5/10 + 8*q**2. What is the third derivative of t(o) wrt o? -2160*o**3 Let f = 40 - 118/3. Let x(m) be the third derivative of 1/24*m**4 + 0*m + 0 - f*m**3 - 2*m**2. Find the first derivative of x(o) wrt o. 1 Let a = 5 + -20. Let p(f) = f**3 - 5*f**2 - 4*f. Let x(d) = d**2 + d. Let g(i) = a*x(i) - 3*p(i). Find the second derivative of g(v) wrt v. -18*v What is the second derivative of 2*y - 2 + 0 + 39*y**2 - 48*y**4 - 39*y**2 wrt y? -576*y**2 Let v(i) = -11*i**2 + 2*i - 39. Let s(m) = -23*m**2 + 6*m - 78. Let z(w) = 2*s(w) - 5*v(w). Differentiate z(j) wrt j. 18*j + 2 Find the second derivative of 5*i**5 + 5*i - 15*i + 11*i wrt i. 100*i**3 Let c(x) = -x**2 - 5*x - 2. Let r be c(-4). Find the second derivative of -r*z - 3*z + 3*z - 2*z + 2*z**3 wrt z. 12*z Let y(w) be the second derivative of 0 + w**2 + 0*w**4 + 0*w**3 + 0*w**5 - w - 1/15*w**6. Find the first derivative of y(c) wrt c. -8*c**3 Differentiate 22 - 13*t - 35 + 21 with respect to t. -13 Let y(i) be the third derivative of -5*i**4/8 + 41*i**3/6 - i**2. What is the derivative of y(a) wrt a? -15 Let l(v) be the first derivative of -27*v**4/2 + 2*v**3/3 - 57*v + 46. What is the third derivative of l(j) wrt j? -324 Let n(d) be the second derivative of 0*d**7 + 0*d**3 + 0*d**5 + d + 0*d**2 + 1/28*d**8 + 0*d**6 + 0 + 1/4*d**4. What is the third derivative of n(g) wrt g? 240*g**3 Let d(w) = 44*w**2 + 55*w. Let n(c) = -43*c**2 - 53*c. Let v(m) = -2*d(m) - 3*n(m). What is the second derivative of v(t) wrt t? 82 Let t(v) = -5 - 2*v + 5 + 5 - 3*v. Let l(h) be the second derivative of -h**3 + 3*h**2 + h. Let j(x) = -4*l(x) + 5*t(x). Differentiate j(s) with respect to s. -1 What is the second derivative of 6*p**4 - 3*p - 13*p**4 + 31*p**4 + 15*p**4 wrt p? 468*p**2 Let q(o) = -o**3 - 8*o**2 - 7*o + 1. Let f be q(-7). Find the first derivative of 11*n - 5*n**3 + f - 11*n wrt n. -15*n**2 Let u(f) be the second derivative of -f**4/6 - 4*f**2 + 22*f. Differentiate u(n) wrt n. -4*n Let s(o) = 46*o**2 + 13*o - 5. Let t(k) = 23*k**2 + 7*k - 2. Let b(i) = 2*s(i) - 5*t(i). What is the second derivative of b(l) wrt l? -46 Let l(o) be the second derivative of o**8/7 - 13*o**4/6 + 18*o. Find the third derivative of l(z) wrt z. 960*z**3 Suppose 3*w = -0 + 12. Let v(q) = q + 4. Let g be v(-2). What is the first derivative of z**4 + g - 1 - w + 0*z**4 wrt z? 4*z**3 Suppose x = -2*x + 3. Let n(o) = o**3 + o - 1. Let b(k) = -12*k**3 + 6*k**2 - 6*k + 6. Let v(y) = x*b(y) + 6*n(y). What is the third derivative of v(r) wrt r? -36 Suppose -6 + 2 = -g. Find the second derivative of 2*k**4 - 2*k**g - 4*k + 21*k**5 - 20*k**5 wrt k. 20*k**3 Let n(l) = -l + 1. Let s be n(-3). Let d = 7 - s. Find the third derivative of -4*k**5 + d*k**5 + 2*k**5 + 2*k**2 wrt k. 60*k**2 Let z(s) be the second derivative of 1/6*s**6 + 0 + 0*s**5 + 1/3*s**3 + 8*s + 0*s**2 + 0*s**4. What is the second derivative of z(u) wrt u? 60*u**2 Suppose 0 = -5*u + u + 8. What is the second derivative of -4 + 2*c - 3*c**2 + 4 + c**u wrt c? -4 Let m(f) be the second derivative of -f**8/112 - f**5/15 - 5*f**2/2 + 3*f. Let k(p) be the first derivative of m(p). What is the third derivative of k(
{ "pile_set_name": "DM Mathematics" }
450 or -1488455? -1488455 Is 70812759 at least 70812759? True Is 215364.82 smaller than -2? False Is -1 at least as big as -2/78546347? False Which is bigger: 1286676/4535 or 285? 285 Is -6.222 less than 0.07555? True Is -20/2489687 smaller than 0? True Which is greater: 1 or 16/14319613? 1 Which is greater: -3728/35163 or 0? 0 Is -143301 greater than or equal to -143306? True Is -1/126039 not equal to -13/15? True Are 26807548 and 26807539 equal? False Do 55062 and 234 have different values? True Which is greater: -4.40805 or -225? -4.40805 Which is smaller: 1198 or 1904? 1198 Do 307513 and -34 have the same value? False Do -7/1004 and 5369 have different values? True Do 0 and 154/1675017 have different values? True Which is bigger: 22459 or -3/368? 22459 Is 0 < 2/7330991? True Which is smaller: 2383336/5 or 476668? 2383336/5 Which is greater: 3617 or 235197/65? 235197/65 Which is smaller: -9554242/13 or -734941? -9554242/13 Is -3447.885 bigger than 0.015? False Is 12/1202195 at most as big as 4? True Is 77085752 > 77085751? True Which is smaller: 1 or -1173/26228? -1173/26228 Which is bigger: 1 or 15/1624468? 1 Which is smaller: -2212 or -6778? -6778 Which is smaller: 1 or -2/81761023? -2/81761023 Is 0.2 bigger than 54490571? False Is -9468 smaller than -21175? False Is 425532633/5 at least as big as 85106526? True Is 4575534/13 equal to 351963? False Which is bigger: 40513740 or 40513741? 40513741 Do -21044007 and -21044003 have the same value? False Which is bigger: -1297220 or -1297224? -1297220 Is 2/1016707 < -1? False Is 18920/571 smaller than -6.6? False Is 748/688113 at most as big as -1? False Is -169/449129 < 1? True Which is greater: -3397/5108 or -2? -3397/5108 Which is greater: -68923 or -68898? -68898 Which is smaller: -4216292/13 or -0.2? -4216292/13 Which is greater: 18004 or -122/11? 18004 Which is greater: 595030 or 594961? 595030 Which is smaller: 5/744 or 15963/7? 5/744 Which is bigger: 964996515/11 or 87726955? 964996515/11 Is -669 equal to -2/2007571? False Which is greater: -1.1 or 521.968? 521.968 Which is smaller: 29439949 or 29439948? 29439948 Which is greater: 23/5290447 or 1? 1 Is 734 < -22? False Which is greater: -1951840/157 or -0.1? -0.1 Which is bigger: -300148 or -300091? -300091 Which is smaller: 0.054891 or 567? 0.054891 Which is smaller: -278 or 72614? -278 Is 4989763 < 4989761? False Are -64260 and -64229 equal? False Is 151056 != -23? True Is -217 at least 23823? False Which is smaller: 3892689 or 3892638? 3892638 Does -3 = -18369/4609? False Which is smaller: 1 or 2040/91597? 2040/91597 Is -195701 less than -195150? True Which is smaller: -129605/3722 or -34? -129605/3722 Is 1 greater than 2/59114673? True Is 2959883 bigger than 2959734? True Which is greater: -34195988 or -34195989? -34195988 Which is smaller: -143113061 or 1? -143113061 Is 0.1 < 26403.4483? True Is 29163860/93 >= 313590? False Which is smaller: 281734306/3 or 93911434? 93911434 Is -30.73 less than 13583? True Which is smaller: 34531291 or 34531293? 34531291 Is -21 > -0.06602? False Which is smaller: 74583315/4 or -0.1? -0.1 Which is bigger: 10/11 or -4665/43? 10/11 Do 0.422403 and -32/5 have the same value? False Which is smaller: -2711330 or -2711334? -2711334 Is -1 at least as big as -1/375579745? False Is -5/3623897 < -1? False Is -449646605 at most as big as -449646606? False Which is bigger: 2829427 or 2829450? 2829450 Which is smaller: -228146 or -228251? -228251 Is -2409 <= -2115983/878? False Which is bigger: 1.0688 or 0.1491? 1.0688 Is 824811 equal to -20? False Is 25/3 <= -2.25844? False Which is smaller: -538/322331 or 0? -538/322331 Which is smaller: 20 or -176996/19? -176996/19 Is 11/6726018 at least as big as -1? True Which is smaller: 1 or -14/241367781? -14/241367781 Which is greater: -1005825 or -1006526? -1005825 Which is greater: 427 or 1326/49? 427 Is 4/5151059 bigger than -1/4? True Which is smaller: -116034749 or -116034750? -116034750 Is 17342 greater than 16480? True Is 0 greater than -309/1978739? True Which is smaller: -55346701/8 or -6918338? -6918338 Which is smaller: 0.049 or -51/806? -51/806 Which is bigger: -2850087 or -2850091? -2850087 Which is smaller: 952068 or 952096? 952068 Which is smaller: 115202606 or 115202607? 115202606 Which is smaller: 26510 or 22667? 22667 Which is smaller: -36063 or -6335? -36063 Which is greater: -4702/276471 or -1? -4702/276471 Is -17528652 at least as big as -17528652? True Is 2/14741485 smaller than 1? True Which is smaller: -0.15 or 0.2659058? -0.15 Which is smaller: 726/252629 or 0? 0 Do 141/21292 and 0 have different values? True Which is greater: -6378/2719 or -2? -2 Which is smaller: 132128 or 131068? 131068 Which is greater: 1176187 or 1176261? 1176261 Is -429122774 less than -429122776? False Are 1451568 and 4/7 equal? False Which is bigger: -17303/411 or -42? -42 Which is greater: -41089 or 1.713? 1.713 Is -19002.76 smaller than -1/3? True Is 0 at least -2/17508377? True Which is bigger: 0 or -3/435072361? 0 Which is
{ "pile_set_name": "DM Mathematics" }
2*v - 4. Determine q(1). 8 Let f(x) = -x**2 + 4*x + 1. Let n(t) = -5*t. Let o be n(-1). Suppose -5*c = o*g + 10, 5*g + 40 = 4*c + c. Let k = g + 8. Calculate f(k). 4 Suppose -4*o - 4 = -5*a + 10, 3*o + 22 = -2*a. Let p(m) = 3*m**2 + m**2 - 5*m**2 - 6*m + 6. What is p(o)? 6 Let j(c) be the third derivative of -c**4/24 + c**3/2 - c**2. What is j(0)? 3 Let r = -18 - -31. Let m(h) = -4*h**2 + 3*h**2 - 2*h - 18 + 7 + r. What is m(-4)? -6 Let l(n) = -n + 1. Let w(i) = -8 + 7 - i**2 + 6*i - i + 2*i**2. Let b be w(-4). Determine l(b). 6 Let q(j) = -2*j**3 + j**2 + j. Let n(l) = 3*l**3 - l**2 - l. Let t(p) = -3*n(p) - 5*q(p). Let o = 6 - 4. Suppose o*x + 2 = -2. Determine t(x). -12 Suppose -5 = -4*x - 3*j + 5, -3*j = x - 7. Let u(r) = 14*r**3 - r**2 + r - 1. What is u(x)? 13 Let f(k) be the second derivative of k**5/20 + k**4/2 + k**3/6 + 3*k**2 + 24*k. Determine f(-6). 0 Let w(j) = -j**3 - 4*j**2 - 2*j + 3. Let r be w(-3). Let y(k) be the first derivative of 1/2*k**2 + 7*k + 0*k**3 - 1/4*k**4 + 1. What is y(r)? 7 Let c(y) = -3*y**2 + 1. Let t(j) = -j**2 + 1. Let a(p) = -c(p) + 4*t(p). Determine a(0). 3 Let q(z) = 0*z - 4*z + 1 + 2*z. Suppose -4*m = 2*h - 3*m - 10, -5*m - 6 = -4*h. What is q(h)? -7 Let w(b) = 2*b - 7. Let l(q) = q**3 - 2*q**2 + q + 4. Let n be l(2). Give w(n). 5 Let v be 2*-26*(-1)/4. Let n(d) = -v*d + 12*d + 1 + 2 + 0. What is n(-3)? 6 Let r(c) = -6*c + 10*c + 1 - 2*c**3 + c**3 - 3*c**2 - c**2. Determine r(-5). 6 Let n(w) be the second derivative of -19*w**4/12 - 11*w. Determine n(-1). -19 Let l(o) be the third derivative of -3*o**6/40 - o**5/30 - o**4/12 - o**3/6 - 12*o**2. Determine l(-1). 8 Let n be (-17)/3*(-12)/4. Let m = n + -11. Let h(c) = c**2 - 3*c - 6. Give h(m). 12 Let t(o) = -10*o - 22. Let w(f) = 7*f + 15. Let q(k) = 5*t(k) + 7*w(k). Give q(-6). 1 Let c(v) = -v**2 + 2*v - 1. Let p(g) = -g - 8. Let m be p(-9). What is c(m)? 0 Let a(j) = -j - 1. Let q(w) = 4*w + 5. Let x = 17 - 20. Let o(n) = x*a(n) - q(n). Suppose l + 15 = 4*l. Give o(l). -7 Let i(q) be the third derivative of -q**6/120 - q**5/60 - 7*q**3/3 - 4*q**2. Determine i(0). -14 Let w(y) = -y**2 - 5*y + 2. Let c be w(-4). Let p(i) = i**2 - 7*i + 6. What is p(c)? 0 Let j be 160/10*2/4. Let i(b) = b**3 - 8*b**2 + 2. Give i(j). 2 Let s be 210/28*(-8)/10. Let o(l) be the second derivative of l**5/20 + l**4/2 + l**3/6 + 2*l**2 + l. Give o(s). -2 Let y(l) be the second derivative of 3*l - 3/2*l**2 + 0 + 1/6*l**3. Suppose 20 - 8 = 4*b. What is y(b)? 0 Suppose 0 = -f + 1 - 3. Let n(u) = -u**2 + u - 1. Determine n(f). -7 Suppose -1 = t + x - 6, 3*t = 3*x - 3. Let v(h) = -t*h - h + 0*h. Suppose 0 = 3*a + 3*f + 8 + 1, a = 2*f + 9. Determine v(a). -3 Let g(r) = -9*r. Let y(t) = t**3 - 2. Let i be y(0). Let h be g(i). Let f be -1 + 1 + h/6. Let n(v) = v**3 - 3*v**2 + v + 1. Give n(f). 4 Let w(y) = 7*y**3 - 2*y**2 + 2*y - 1. Let p be 10*(-1 + -1)/4. Let c = -4 - p. Determine w(c). 6 Let j be 6 - 9 - 1*2. Let l(v) = v + 1. Let g(f) = -4*f - 10. Let w(q) = j*l(q) - g(q). Determine w(7). -2 Suppose -c = -3*c. Let j be c - (1*-7 - -2). Let f(l) = -5 + 5*l + j. What is f(2)? 10 Suppose 0*a + 14 = -2*a. Let v = a + 9. Suppose -o + 1 = v*j - 1, 0 = -2*o + 4. Let r(d) = d**3 + d - 9. Determine r(j). -9 Let r(c) be the second derivative of -2*c**4/3 + c**3/6 - c. Suppose -4*l - l = -4*p + 9, 4*p - l = 5. What is r(p)? -7 Let u(j) = -j + 16. Suppose 0 = -2*z + 4*o + 3 + 9, 4*z = -4*o - 12. Determine u(z). 16 Let f(q) = -5*q**3 + 4*q**2 - 20*q - 26. Let m = -15 + 18. Let l(p) = -2*p**3 + p**2 - 7*p - 9. Let o(n) = m*f(n) - 8*l(n). Let z = -1 + -3. What is o(z)? 10 Let i(l) be the third derivative of -l**5/60 - l**4/4 - l**3/3 + 75*l**2 - 1. Suppose 4*o = 5*p - 29, 0 = -o - 2*o + 3*p - 21. Give i(o). -2 Let q(l) = l - 4. Let y be (1 - 1)/(-20 + 19). What is q(y)? -4 Let h(l) = l**2 + 3*l + 1. Suppose -u = -2*a + 4
{ "pile_set_name": "DM Mathematics" }
lest value? (a) 0.321 (b) -2 (c) 2 c What is the second smallest value in -0.3, 1/2, 4, -28/5, 2? -0.3 What is the biggest value in 0.2, 0.3, 11, 4, -2? 11 Which is the second smallest value? (a) 8/17 (b) -3 (c) -1 c Which is the smallest value? (a) 1 (b) 1/7 (c) -2 (d) 0.1 (e) 2/5 c What is the third smallest value in 89, -0.4, -0.5? 89 What is the second smallest value in 1, 4, 0.06, 2, -0.13? 0.06 What is the second biggest value in 1/2, 3/4, -0.1, 44, 2/17? 3/4 What is the second biggest value in 3, -0.08, -3? -0.08 What is the third smallest value in -3, 1188, 4? 1188 What is the second smallest value in -3, 4, 3? 3 Which is the biggest value? (a) -1 (b) 4/5 (c) 1.5 (d) -1/3 c Which is the fourth biggest value? (a) 2/5 (b) -0.37 (c) 5 (d) 2 b What is the biggest value in 0.2, 11/5, -0.2, -1, 0.47? 11/5 Which is the fourth smallest value? (a) 2 (b) -13 (c) 2/11 (d) -2/11 a What is the second biggest value in 0.4, 3, -405, 0.1? 0.4 What is the smallest value in -3, 34, 6/13? -3 Which is the biggest value? (a) 0.3 (b) -2 (c) 1/4 (d) -0.1 (e) 25 e Which is the third biggest value? (a) -2/69 (b) 3 (c) 8 a What is the second biggest value in 0.1, 0, -0.03, -0.4? 0 Which is the second smallest value? (a) -0.2 (b) -41 (c) -6 (d) 0 (e) -2 c Which is the second smallest value? (a) 0.2 (b) 19/5 (c) 4 (d) -2 a What is the fifth biggest value in 7.2, -0.7, 2, 2/23, 0? -0.7 What is the fifth smallest value in -21, 0.1, -5, 2, -2? 2 What is the biggest value in -0.1, 11/6, 0? 11/6 Which is the third smallest value? (a) 5.2 (b) 0 (c) 46 c What is the third smallest value in -3/7, 27, -2/15? 27 What is the third biggest value in -16, -0.3, 23, 0? -0.3 Which is the third biggest value? (a) -3 (b) -1 (c) 213 (d) 1 b Which is the fourth biggest value? (a) 2/7 (b) 2 (c) -14 (d) 2/15 c What is the biggest value in -2, 5, 58? 58 What is the second smallest value in 3, 0.2, 47, 2? 2 What is the biggest value in 5, 4, 3, -340/9? 5 What is the smallest value in 0.2, 0.5, -0.375, -3? -3 Which is the fourth biggest value? (a) -1/6 (b) 0.1 (c) 16 (d) 0.3 a What is the fourth biggest value in -2/21, 1/38, 1/7, 5? -2/21 What is the second biggest value in 8, 2, -0.3, 4? 4 Which is the fifth smallest value? (a) 2 (b) 0 (c) 2/7 (d) 6 (e) -2 d Which is the fifth biggest value? (a) 1 (b) 0 (c) -4 (d) 0.7 (e) 3 c What is the third biggest value in -2, -23, 1.4? -23 Which is the second biggest value? (a) -5/3 (b) 2 (c) -976 a What is the fourth smallest value in -3/8, 1, 3, -55? 3 What is the smallest value in -2, 5, -10, -4? -10 Which is the third biggest value? (a) -2/3 (b) 3/5 (c) 1/14 a What is the second biggest value in -1/4, 5, -0.1, 3, -3? 3 Which is the third biggest value? (a) -7 (b) 0.2 (c) -4/7 (d) -1/5 (e) 19 d What is the biggest value in -0.055, 4, -0.4, -16? 4 Which is the third biggest value? (a) 3/7 (b) 2/163 (c) -0.4 c What is the smallest value in 1, 3/5, 0.3, -4/179? -4/179 What is the fourth smallest value in -4, -3, -5, 2/3? 2/3 Which is the third biggest value? (a) -4 (b) -2/5 (c) -396 c Which is the second biggest value? (a) -60 (b) -4/7 (c) -5/2 c Which is the biggest value? (a) -10.18 (b) -0.4 (c) 1 c Which is the smallest value? (a) 8 (b) 4 (c) -2 (d) 1 c What is the third biggest value in 3, -2, 0.09, 3/8? 0.09 What is the smallest value in 2/21, 3, 0, -9? -9 Which is the third smallest value? (a) -73 (b) 5/6 (c) 2 (d) -1/4 b Which is the second smallest value? (a) 85 (b) 21 (c) 4 b What is the third smallest value in 2/15, -1/3, 1, -0.5? 2/15 What is the fourth smallest value in -2, 0.2, -1, -0.4? 0.2 What is the biggest value in -3, 18, 2/73, 2? 18 What is the smallest value in 2/9, 0.4, -13? -13 What is the third smallest value in -0.38, 0, 3/5, 0.1? 0.1 What is the fifth biggest value in -0.05, -0.7, -0.4, -0.3, 0? -0.7 Which is the second biggest value? (a) 0.4 (b) -2/11 (c) 183 a Which is the fourth biggest value? (a) -27 (b) -4/5 (c) -25 (d) -1 a What is the second biggest value in -73, 0.3, -1/7, -0.3? -1/7 Which is the smallest value? (a) 0.0039 (b) -3/2 (c) 3/37 b Which is the third smallest value? (a) -0.07 (b) 2/5 (c) -1/8 (d) 0.07 d What is the biggest value in 1/3, -147, -5, -0.5, -1? 1/3 What is the third biggest value in -31/3, -3, 0? -31/3 Which is the biggest value? (a) 1 (b) 0.04 (c) -0.5 (d) 3
{ "pile_set_name": "DM Mathematics" }
196*k + 76. What is f(x) + 6*r(x)? -32*x + 58 Let h(x) = -182*x + 107. Let i(v) = -61*v + 39. Let t(b) = -3*h(b) + 8*i(b). Let l(n) = 29*n - 4. Determine -9*l(k) + 4*t(k). -29*k Let q(t) = -13*t - 5*t + 6 - 11*t. Let g(v) = -9*v - 7. Let w(n) = -8*n - 5. Let h(d) = -6*g(d) + 8*w(d). Calculate -17*h(r) + 6*q(r). -4*r + 2 Let g(p) be the third derivative of -p**4/4 - p**3/3 + 3*p**2. Suppose 4*i + 11 = -3*k, -471 = 5*i - 2*k - 463. Let u(j) = 12*j + 5. Calculate i*u(a) - 5*g(a). 6*a Let g(x) = -x**2 + x + 1. Let a(r) = 2*r**3 + 5*r**2 - 5*r - 25. Let t be a(2). Let y(v) = -7*v**2 + 6*v + 22. What is t*y(n) - 6*g(n)? -n**2 + 16 Suppose n = 4*q - 3, -2*q + 19 = 7*n - 4*n. Let g(x) = -1 + 0 + q*x + 4. Let v = -2008 - -2002. Let t(l) = -l - 1. Determine v*t(p) - 2*g(p). 2*p Let t(v) = -2*v**3 - 172*v**2 - 43*v + 8. Let u(y) = y**3 + 42*y**2 + 11*y - 2. Determine 2*t(b) + 9*u(b). 5*b**3 + 34*b**2 + 13*b - 2 Let h(a) = 14*a + 121. Let c(q) = 20*q + 119. Determine 2*c(g) - 3*h(g). -2*g - 125 Let u(q) = -4*q**3 - 30*q. Let v(l) = 5*l**3 + 29*l. Let n = 1456 - 1453. Give n*v(x) + 4*u(x). -x**3 - 33*x Let x(n) = 625*n - 8. Let y(m) = -3132*m + 42. Give -16*x(u) - 3*y(u). -604*u + 2 Let k(c) = -2*c**3 + 5*c**2 + 2*c - 2. Let a(t) = t - 9. Let l be a(13). Let v(b) = -8 + l + b**2 + 3. Suppose 7*d - 11*d - 20 = 0. Determine d*v(w) + k(w). -2*w**3 + 2*w + 3 Let n(r) = 2*r**3 - 7*r**2 + 3*r + 3. Suppose 2 + 40 = 3*h. Suppose -h*m + 140 = -0*m. Let a(y) = -6*y**3 + 22*y**2 - 10*y - 10. Give m*n(b) + 3*a(b). 2*b**3 - 4*b**2 Let g(x) = x - 3. Let h(v) = -1104*v + 2 + 2213*v - 1108*v - 7 + 2. Determine 4*g(n) - 3*h(n). n - 3 Let b(l) = 2*l - 7. Let m(v) be the second derivative of 3 - 1/2*v**2 + 1/6*v**3 - 9*v. Determine -b(y) + 3*m(y). y + 4 Let d(i) = -22*i + 32. Let f(l) = 73*l - 95. Calculate -7*d(k) - 2*f(k). 8*k - 34 Let j(m) = 9*m**2 + 3. Let n(d) = -10*d**2 - 4. Suppose 103*w - 115*w = 36. What is w*n(g) - 4*j(g)? -6*g**2 Let z(k) = -k**2 + 8. Let g(n) = 29622 + 29629 - 59252. Calculate 4*g(v) - z(v). v**2 - 12 Let q(r) = r**3 + 5*r**2 + 9. Let o(k) = -k**3 - k**2 - 2*k - 2. What is -4*o(y) - q(y)? 3*y**3 - y**2 + 8*y - 1 Suppose 5*a - 5 = -25. Let p be (-2)/(a/10*(-10)/30). Let y(q) = 1. Let m(j) = -66*j - 15 + 28*j + 35*j. Calculate p*y(x) - m(x). 3*x Let q(t) = 10*t**3 - 6*t**2 + 894*t - 21. Let m(o) = -7*o**3 + 4*o**2 - 596*o + 15. Determine -7*m(x) - 5*q(x). -x**3 + 2*x**2 - 298*x Let i(r) = -2*r**2 + 14*r - 9. Let o be i(6). Suppose -o - 6 = k. Let c(q) = -6*q - 3. Let s(h) = -13*h - 7. Calculate k*c(z) + 4*s(z). 2*z - 1 Let m(c) = -51*c**2 + 4*c - 14. Let f(y) = -5*y**2 + y. Calculate 6*f(z) - m(z). 21*z**2 + 2*z + 14 Let v(g) = 17*g**3 - 2*g**2 - 5*g + 4. Let d(z) be the first derivative of -9*z**4/4 + z**3/3 + 3*z**2/2 - 2*z + 7260. Give -7*d(q) - 4*v(q). -5*q**3 + q**2 - q - 2 Let z(j) = 6*j**3 - 27*j + 10. Let s be z(2). Let h(g) = -4*g**3 - 5*g**2 - 4*g + 1. Let c(m) = -5*m**3 - 6*m**2 - 5*m. Calculate s*h(p) - 3*c(p). -p**3 - 2*p**2 - p + 4 Let r(h) = -53*h**2 - 43*h + 9. Let m(p) = -27*p**2 - 19*p + 4. What is 7*m(d) - 3*r(d)? -30*d**2 - 4*d + 1 Let g(u) = -40*u**2 + 57*u - 13. Let q(w) = 22*w**2 - 28*w + 8. Calculate 3*g(i) + 5*q(i). -10*i**2 + 31*i + 1 Let m(z) = 24*z - 27663. Let n(p) = 10*p - 13832. Give -2*m(v) + 5*n(v). 2*v - 13834 Let v = -327 - -410. Let s(j) = -83 + 165 - v. Let q(p) = -p + 4. Determine q(d) + 5*s(d). -d - 1 Let h(o) = -739*o + 12. Let r(b) = -2558*b + 42. Give -18*h(j) + 5*r(j). 512*j - 6 Let t(c) = -4*c + 15. Let i(u) = u - 1. Suppose -94*w + 57*w + 5 = 79. What is w*i(r
{ "pile_set_name": "DM Mathematics" }
9 What is next in 31, 59, 87, 115, 143? 171 What comes next: 1339, 2679, 4019, 5359, 6699? 8039 What comes next: -5, 0, 9, 22, 39, 60, 85? 114 What is next in 13, 32, 53, 76, 101, 128? 157 What is next in 594, 587, 584, 591, 614, 659, 732? 839 What is next in 116, 230, 344, 458, 572? 686 What comes next: 370, 746, 1122, 1498, 1874, 2250? 2626 What is next in 178, 176, 172, 166? 158 What is next in -4, -5, -6, -7, -8, -9? -10 What is next in 31, 40, 25, -26, -125, -284, -515, -830? -1241 What is the next term in 82, 123, 164, 205, 246? 287 What comes next: -7, -2, 5, 14, 25? 38 What is next in 489, 486, 471, 438, 381, 294, 171, 6? -207 What comes next: 4, -1, -10, -17, -16, -1? 34 What is the next term in -1309, -1306, -1303, -1300? -1297 What is next in -105, -185, -319, -507, -749? -1045 What comes next: 194, 200, 210, 224? 242 What is the next term in -15, -20, -29, -42, -59, -80? -105 What comes next: 11987, 11988, 11989? 11990 What is the next term in 42, 128, 270, 474, 746, 1092, 1518, 2030? 2634 What is the next term in 5, -23, -49, -73, -95? -115 What is next in -9, -26, -43, -54, -53, -34, 9? 82 What comes next: 14, 51, 114, 203, 318, 459, 626? 819 What is the next term in 753, 748, 733, 702, 649, 568? 453 What is next in 11897, 23796, 35695, 47594, 59493, 71392? 83291 What is next in 539, 928, 1329, 1748, 2191? 2664 What comes next: 18, 34, 50, 66, 82? 98 What is the next term in -20, -84, -192, -344? -540 What is next in 17, 61, 131, 227, 349? 497 What is the next term in 4, -1, -16, -47, -100, -181? -296 What is next in -38, -84, -142, -212, -294? -388 What is next in 41, 102, 183, 284, 405, 546, 707? 888 What is the next term in 26, 62, 100, 140, 182? 226 What is next in 46, 207, 622, 1417, 2718, 4651, 7342, 10917? 15502 What is next in -931, -926, -911, -880, -827, -746, -631? -476 What is the next term in 56, 75, 108, 161, 240, 351, 500? 693 What is next in -335, -337, -343, -353? -367 What is the next term in 3, -12, -51, -126, -249, -432? -687 What comes next: 52, 61, 80, 115, 172? 257 What is the next term in -9827, -19655, -29483, -39311? -49139 What comes next: 1168, 2340, 3512, 4684, 5856, 7028? 8200 What is the next term in -6805, -13606, -20407, -27208, -34009? -40810 What is the next term in 65, 294, 687, 1250, 1989, 2910, 4019, 5322? 6825 What is next in -1124, -1142, -1174, -1226, -1304, -1414, -1562? -1754 What comes next: 49, 47, 43, 37, 29, 19, 7? -7 What comes next: -8, -21, -52, -101, -168, -253? -356 What is the next term in 190, 183, 166, 133, 78? -5 What is the next term in -118, -122, -130, -142? -158 What is next in 19, 42, 67, 94, 123? 154 What is next in -66, -133, -200, -267, -334, -401? -468 What is the next term in 123, 232, 343, 456, 571, 688, 807? 928 What is next in -4044, -4049, -4054, -4059, -4064, -4069? -4074 What comes next: -22, -70, -118, -166, -214? -262 What is the next term in -28, -116, -270, -496, -800, -1188, -1666? -2240 What is the next term in -276, -1085, -2432, -4317, -6740, -9701? -13200 What is next in -767, -3068, -6903, -12272, -19175, -27612? -37583 What is the next term in 4, 15, 32, 55? 84 What is next in 3857, 7706, 11555, 15404, 19253, 23102? 26951 What is the next term in 46, 125, 256, 439, 674? 961 What is next in -2027, -2009, -1985, -1961, -1943? -1937 What comes next: 34, 75, 120, 169, 222? 279 What is next in 4026, 4017, 4002, 3981, 3954, 3921? 3882 What comes next: -44, -63, -106, -185, -312? -499 What is next in 30, 51, 108, 219, 402? 675 What is the next term in -96, -198, -302, -408? -516 What is next in -279, -280, -279, -276? -271 What is next in -149, -147, -145, -143, -141, -139? -137 What is the next term in -40, -128, -282, -508, -812, -1200, -1678, -2252? -2928 What is the next term in -2, -3, -12, -35, -78? -147 What comes next: 7872, 7871, 7870, 7869, 7868? 7867 What is next in 4, 93, 342, 835, 1656, 2889? 4618 What comes next: 147, 233, 319, 405, 491? 577 What is next in 17, 28, 45, 68, 97, 132, 173? 220 What is next in -189, -706, -1567, -2772, -4321? -6214 What comes next: -263, -265, -267? -269 What comes next: -24, -34, -58, -102, -172, -274, -414, -598? -832 What comes next: -170, -350, -528, -704, -878, -1050, -1220? -1388 What is the next term in 7425, 7424, 7423, 7422, 7421? 7420 What is next in -53, -69, -95, -131, -177, -233, -299? -375 What comes next: -11, -15, -19, -23, -27, -31? -35 What is next in -8538, -8564, -8576, -8568, -8534? -8468 What comes next: 10555, 21110, 31665, 42220, 52775, 63330? 73885 What comes next: -189, -182, -175, -168, -161, -154? -147 What is next in 303, 552, 793, 1020, 1227, 1408, 1557? 1668 What is the next
{ "pile_set_name": "DM Mathematics" }
225? True Is 18 a factor of 538212103? False Is 519691032 a multiple of 168? True Is 150 a factor of 2913882395? False Does 25 divide 1239391425? True Is 10543683 a multiple of 69? True Does 102 divide 83968542? True Does 6885 divide 468730800? True Is 371406660 a multiple of 7223? True Is 25 a factor of 139839875? True Is 61609508 a multiple of 644? False Does 589 divide 218413727? False Does 62 divide 54488390? True Is 254 a factor of 914687020? True Is 514 a factor of 173381452? True Does 11 divide 170501? False Is 587 a factor of 9814640? True Does 2410 divide 6573284640? True Is 108660773 a multiple of 13? True Does 276 divide 38274300? True Does 7 divide 70181951? True Is 11 a factor of 272802750? True Does 74 divide 2614953617? False Is 91 a factor of 533503152? True Is 946434828 a multiple of 12? True Is 35513792 a multiple of 25? False Does 7267 divide 764546536? True Is 931 a factor of 48447378? True Is 9 a factor of 221960169? True Does 4821 divide 157000686? True Is 14 a factor of 52948337? False Does 249 divide 104390728? False Is 74 a factor of 5372951? False Is 476 a factor of 38687212? False Does 20 divide 14311760? True Is 12276875 a multiple of 625? True Is 8 a factor of 9361264? True Is 39 a factor of 203715380? False Is 96937833 a multiple of 3341? False Is 337 a factor of 2008937807? False Is 17 a factor of 13903360? False Is 768 a factor of 4822637568? True Is 4860996695 a multiple of 205? True Is 949 a factor of 46809860? False Is 702 a factor of 128330514? True Does 5 divide 64209131? False Is 50 a factor of 180541589? False Does 795 divide 35687431? False Is 2819 a factor of 2287117722? False Is 640881649 a multiple of 246? False Is 1034333409 a multiple of 113? True Is 60738174 a multiple of 798? True Does 24 divide 656787797? False Does 149 divide 8951747? False Is 91574201 even? False Does 3277 divide 637514134? True Is 112029695 a multiple of 304? False Is 12 a factor of 123713496? True Is 42 a factor of 2214324? True Is 272 a factor of 1257683936? True Is 286361637 a multiple of 8036? False Does 57 divide 433590222? True Is 3212 a factor of 1281413? False Is 33181639 a multiple of 20? False Is 255552752 a multiple of 4661? False Is 42 a factor of 39397680? True Does 7 divide 1412595? False Is 18301933 a multiple of 40? False Does 104 divide 55839296? False Does 567 divide 686716380? True Does 5328 divide 28504800? True Does 6 divide 114843956? False Does 9 divide 938126267? False Is 430 a factor of 217869820? True Does 144 divide 955068048? True Is 43 a factor of 1120508061? True Is 38 a factor of 73420028? True Is 23 a factor of 28519379? True Is 1556884894 a multiple of 133? False Is 20381333 a multiple of 7? True Does 32 divide 185618029? False Does 986 divide 31945414? True Is 145 a factor of 35388700? True Does 142 divide 60451983? False Is 343595956 a multiple of 372? False Does 281 divide 11330748? False Is 772 a factor of 1155033976? True Is 3318227087 a multiple of 14499? False Is 662 a factor of 255363343? False Is 3442642 a multiple of 34? False Is 302659278 a multiple of 24? False Does 4693 divide 299150592? True Is 244262754 a multiple of 417? True Does 1149 divide 2061170188? False Is 870 a factor of 202345938? False Does 438 divide 281068682? False Is 19816156 a multiple of 26? False Is 368 a factor of 398428816? True Is 37 a factor of 48676253? False Does 142 divide 5400828? True Does 9 divide 271475198? False Is 4 a factor of 885488412? True Is 30 a factor of 133187841? False Is 71764468 a multiple of 13? False Is 105 a factor of 165208995? True Is 92929641 even? False Does 124 divide 1835717080? True Does 54 divide 14899876? False Is 45 a factor of 1399140? True Is 951 a factor of 1210394049? False Is 27 a factor of 70653133? False Is 4 a factor of 748983766? False Is 24 a factor of 42838368? True Is 3158460060 a multiple of 3140? True Does 68 divide 17456076? True Is 89888649 a multiple of 486? False Is 9237596 a multiple of 122? True Is 309159398 a multiple of 4? False Is 606 a factor of 2463548142? False Is 29372800 a multiple of 1675? True Is 9 a factor of 13917533? False Does 210 divide 754916610? True Does 5668 divide 1932637113? False Does 3 divide 3846630? True Is 859 a factor of 61934192? False Does 75 divide 319811550? True Is 21788361 a multiple of 189? False Does 65 divide 7025345? False Is 792511510 a multiple of 2590? True Is 47 a factor of 22712327? True Is 665250 a multiple of 212? False Is 3705061 a multiple of 66? False Does 710 divide 341774830? True Is 154464474 even? True Does 182 divide 129211992? True Is 40165883 a multiple of 2274? False Does 938 divide 35577994? False Is 17 a factor of 44133225? False Is 28 a factor of 1137864? True Is 22405654 a multiple of 32? False Does 348 divide 47150956? False Is 314160250 a multiple of 590? True Is 766 a factor of 2813351778? True Does 52 divide 21283705? False Is 736483639 a multiple of 1656? False Is 1091 a factor of 67647455? True Is 138525718 a multiple of 79? False Is 277 a factor of 889606910? False Is 32 a factor of 182559232? True Is 276303000 a multiple of 31? True Is 101 a factor of 30278790? True Is 49602312 a multiple of 36? True Is 165 a factor of 50354040? True Is 144 a factor of 63740448? True Is 2 a factor of 18774442? True Is 482 a factor of 12732994? True Is 14 a factor of 2766876? True Is 3220162840 a multiple of 8? True Does 86 divide 53566304? True Is 1904362920 a multiple of 45? True Does 5 divide 140176135? True Does 102 divide 14279184? True Is 1435 a factor of 909808797? False Does 7 divide 215604681? False Does 1024 divide 33405952? True Does 14 divide 726493362? True Does 13 divide 199952644? False Is 17 a factor of 3725426104? True Is 20905
{ "pile_set_name": "DM Mathematics" }
47 assuming r is positive. r**(6345/7) Simplify ((n/n**6*n**(-1)/n)/((n**(-1/3)*n)/n)**(2/15))/((n*n*n*n*n**(1/4)*n)**(6/7)*n**(4/5)/(n/(((n/((n*n**(2/11))/n))/n)/n))) assuming n is positive. n**(-9973/990) Simplify (k/k**17)/(k/k**(-10/9))*k**(-11)*k/k**34 assuming k is positive. k**(-559/9) Simplify (z/z**28*z**(-30)*(z/(z**(-1/7)/z))**(-21))**(1/16) assuming z is positive. z**(-51/8) Simplify (((n/(n/n**(-1/6)))/n)**(1/66)/(n/((n*(n**(-13)*n)/n)/n)*n)**(-30))**45 assuming n is positive. n**(890965/44) Simplify ((l**(-10/7)*l)/(l*l/((l/l**(-26))/l*l)*l))/((l**(3/14)*l)/(l/(l*l**(18/13)/l))) assuming l is positive. l**(3999/182) Simplify (v/((v**(2/11)*v*v)/v*v))/(v/v**(-2/15))*(v/v**(-2/3))**(-33)*(v/((v*v**6)/v*v)*v*v**8)**(17/3) assuming v is positive. v**(-6652/165) Simplify ((i**3/i*i**(-2/5))/(i*i**(-4)/i*i*i**4/i))/((i**(-1))**39/((i**(2/7)*i*i)/i**(3/2))) assuming i is positive. i**(2897/70) Simplify ((i/i**(-3/2)*i*i**10/i*i)/(i/(i/((i**(-3)*i)/i)))**(2/25))**39 assuming i is positive. i**(26793/50) Simplify (((i*i/i**(-4)*(i*((i*i**(3/2))/i)/i*i)/i)/(i**(2/5)/i)**(-1/7))**(-18/11))**(-3/11) assuming i is positive. i**(14013/4235) Simplify ((l/(l/(l*l**(2/7)*l)))**(-10))**(-10)/(((l*l**6*l*l*l)/(l**(-5)/l))/((l**3*l*l)/l**(2/9))) assuming l is positive. l**(13693/63) Simplify ((p*p**2)**(-48))**(5/6)/((p*p**(2/3))/(p**(2/5)*p)*p/(p/p**1*p)*((p*p**(-1/4))/p)/p*p) assuming p is positive. p**(-7201/60) Simplify (((((s*s**1*s)/s)/s)**13*s**(-1/3)*s**(3/2))**(3/29))**(3/2) assuming s is positive. s**(255/116) Simplify (u**4*u)/(((u/u**(4/7))/u)/u)*(u**1)**(-1/22)*(u/(u*u**(-6/13))*u/u**(9/2))**49 assuming u is positive. u**(-142501/1001) Simplify (((w*w*w/w**(33/4))/w)/(w/w**(2/13)))/(w**(3/13)/(w*w*w**(-38))) assuming w is positive. w**(-2253/52) Simplify (n**(15/7)/(n**2/n)*(n**(-2/15))**(37/5))**(-2/95) assuming n is positive. n**(-164/49875) Simplify ((b/(b/(b*b**(2/17))))/b**(-4))/(b*b/(b*b/b**(-7)*b)*b*(b/b**(2/3))/b)*((b**6*b)/(b/b**5))**(-6/17) assuming b is positive. b**(454/51) Simplify (i**(2/19)/i*i/(i*i**(2/7)*i*i*i))/((i**(-2/3)*i)/i**(-5))*((i*i/(i/(i*i/(i*(i/i**(-1/3)*i)/i*i)*i))*i)/i**(1/7))**(24/11) assuming i is positive. i**(-27164/4389) Simplify (m**6*m/((m/(m**5*m))/m))**37/((m/(m**(-2/15)*m)*m**(1/9))/(m/(m*m**(-1))*m**(-4/5))) assuming m is positive. m**(21643/45) Simplify (z**6/(z*z**(-1/8)*z))**(12/11)*(((z/(z*z*(z*z/(z/(z**(-2/7)*z)))/z*z))/z*z)**48)**(-33) assuming z is positive. z**(60255/14) Simplify (((((z*z*(z/z**8)/z)/z)/((z/z**(-2/21))/z))**(7/4))**49)**(-47) assuming z is positive. z**(343147/12) Simplify ((y**(1/2)/y)**(1/19)/(y*(y*y/y**(-11/3)*y)/y*y/y**(-3/11)))**(-11) assuming y is positive. y**(9989/114) Simplify (x**4*x*(x/((x*x**5*x)/x*x))/x)/(x*x**(-6)/x*x*x*(x*x**5)/x)*(x**(-2/11)*x*x**(-10)*x*x)**(-1/4) assuming x is positive. x**(-53/44) Simplify (v*v/v**(2/9)*(v**12*v)/v)/(v**(-2/3))**(-1/8) assuming v is positive. v**(493/36) Simplify ((n**(-2/9)*n/n**4*(n**(-2))**(-16))**(-39))**(2/13) assuming n is positive. n**(-518/3) Simplify (j**0*j**(-2/9))**(-43)/((j**(-4)/(j*((j**(-1/6)/j)/j)/j))/((j**(1/6)*j)/j**3)) assuming j is positive. j**(86/9) Simplify ((u/(u**(-12)/u)*(u/(u/(u*u*u**(2/23))))/u)/((u**(1/9)/u)/u*u*u*u*u**(7/3)/u))**(-2/31) assuming u is positive. u**(-5234/6417) Simplify (((((z*z/(z**(-2/5)*z))/z)/z*z)/z)**(-2/21)*z*z**1*z*(z/z**5)/z)/((z*z**(1/3))**(-1/6)*(z**(-1)*z)/(z*z**(-2/9))) assuming z is positive. z**(-33/35) Simplify ((f*f**(-4)*f*f)**(-2/19))**36*(f**0)**(1/22)/((f*f**(-7))/(f*((f/(f**0/f))/f)/f)) assuming f is positive. f**(205/19) Simplify ((i*i**2*i)**(-13))**34/((i**(-1)*i**(-2/7))/(i**(-1/9)/(i/i**(-1/12)))) assuming i is positive. i**(-445513/252) Simplify (k**(-9)/k*k**8)**(3/40)*(k/(k**(-1/10)/k)*k*k**7)**(1/52) assuming k is positive. k**(23/520) Simplify (w**(5/4)*w)**(13/2)*(w/(w/(w*w**(-3/25))))**(-3/10) assuming w is positive. w**(14361/1000) Simplify ((x/((x**2*x)/x))/(x**(-5/4)/x))**23/(x**14*x*x/x**(-1/2)*x)**(1/31) assuming x is positive. x**(3495/124) Simplify ((g**1)**(-45)/(g**(1/3)/g**(-2)))/((g**(1/7)*g**(1/3)/g)/((g/g**(2/5))/g)**(-2/49)) assuming g is positive. g**(-34393/735) Simplify (((l**39*l**(-13))**(-4/13))**(-45))**(-1/39) assuming l is positive. l**(-120/13) Simplify (((z**(-2/51)/z)/(z/(z*z/(z*z*z**25)*z))
{ "pile_set_name": "DM Mathematics" }
= 5*n - 28, 6*n - 7*j - 58 = 5*n - 18*j for n. 3 Solve 3*l = 5*p - l - 3*l + 22*l + 260, -16*p - 4*l = 744 for p. -46 Solve -5*g - 250 = -c, 2*g + 476*c = 3*g + 475*c + 50 for g. -50 Solve -8*s = -3*v + 144 + 463, 5*v + 4*s - 237 = -508 for v. 5 Solve -24*i = 2*o - 27*i + 24, 17*o + i + 82 = -4*i for o. -6 Solve d - 2*d - 484 = -58*b - 5*d, -53*b + 52*b = d - 13 for b. 8 Solve -4*i - 9*k = -12*k - 72, 0 = 4*i + 5*k - 40 for i. 15 Solve 0 = -3*i - 42*t + 78, 39 = 6*i + 4*t + 43 for i. -2 Solve 29417*k - 1 = 29416*k, k - 1 = b for b. 0 Solve 3*a + 2797*z = 2794*z - 39, z + 179 = -16*a + 1 for a. -11 Solve -2*s - 73 = -3*g, s = -21*g - 176 + 657 for s. -2 Solve -6*g + 5*j = -137 + 197, -4*g - 5*j = -j + 40 for g. -10 Solve -4*t = 4*x + 36, 2*t = -4*x + 3145906 - 3145938 for t. -2 Solve 0 = -48*x - p + 63, 0 = -5*x + 258*p - 256*p - 25 for x. 1 Solve 25 = 5*l, -4*a - 117*l - 75 = 137*l - 257*l for a. -15 Solve -12*q + 7*q + 24031 = -5*h + 23971, 0 = 5*h - 4*q + 63 for h. -15 Solve -140 = 2*a - 4*x - 97 - 71, -a + 4*x + 29 = -3*x for a. 8 Solve w - 5 = 2*n - 11 + 14, n + 66 = -15*w for n. -6 Solve -5*n = 3*u + 48, -17654 + 17698 = -4*u for n. -3 Solve -9 = -2*u + 5*d - 98 + 22 - 25, 156 = -3*u + 3*d for u. -56 Solve 1253*b + 5332 + 883 = 5*u, 4*u + 32 - 20 = b - 23 for b. -5 Solve 240 = m - 77*h + 40*h + 42*h, -4*m - 5*h = -225 for m. -5 Solve -21443*x - 52 = -21440*x + 4*t - 18, 0 = -2*x + 3*t - 17 for x. -10 Solve 25*n - 38*j + 183 = -34*j, -2*n + 2*j = 18 for n. -7 Solve 3*z - 3*b + 8 = z - 4*b + 6*b, 20 = 4*z - b for z. 6 Solve 12*u + 10 - 1 = 14*u - 17*i, 2*u + 4*i = 30 for u. 13 Solve -75*u - 5*g + 33 = -52*u, 80*g + 2 = -4*u + 83*g for u. 1 Solve -y + 2*l = -14, 3*y + 457*l - 451*l = 6 for y. 8 Solve 2*w = -h - 21, -18*h + 13*h = -4*h + w + 16 for h. -11 Solve 12*g + 2887 - 2179 = 48*q, -q = g - 21 for g. 5 Solve 4*h + 2*o + 96 = 5*h, -13*h - 2*o = 22 + 18 for h. 4 Solve -90*g = 73*w - 71*w - 18, 5*w = -5*g + 265 for w. 54 Solve 952*o = -3*a + 15980 - 9298, -40 = -2*a - 4*o for a. 6 Solve 4*a + 8*x - 4*x + 9 - 41 = 0, 4*x - 50 = 2*a for a. -3 Solve 0 = 4*b + 7*g - 158, 9797726*b - g + 74 = 9797728*b for b. 36 Solve -49*x + 53*x - 5*q = -64, -2*q - 53 = 3*x + 18 for x. -21 Solve 0 = -12*l - 72, -268 = b + 4*l - 850 + 300 + 296 for b. 10 Solve 0 = 28*v + 4*p + 112, 1001*p + 10 = 5*v + 1006*p for v. -5 Solve -205 = -5*h - 4*d, 462*d - 180 = -5*h + 463*d for h. 37 Solve -4*w - 2*v + 20 + 10 = 3*v, -w + 12*v + 11 = 30 for w. 5 Solve 48 = 10*o - 10*o + 15*p - 25*p + 14*p + 72, 0 = 5*o + 6*p - 9 for o. 9 Solve w + 5*o = 13, 0 = w + 7*w + 4*o + 52 - 12 for w. -7 Solve -4*h - 4*k - 5 - 11 = -43 + 9 + 26, -2*k = 8*h - 8 for h. 2 Solve 0 = 4*f + 5*y - 21234 + 21204, 6 = -5*f + y for f. 0 Solve 84*a + 102 = 3*j - 89*a + 170*a, -3*a - 105 = -4*j for j. 3 Solve 0 = -5*b + 66*a + 141*a - 6841, -b - a - 2*a + 91 = 3*b for b. -2 Solve 3*s - 119 = -4*u, 630 - 371 + 621 = -4*u + 24*s for u. 2 Solve 0 = 2*r - 4*x + 94, 9*x - 6*x - 299 = -101*r - 4431 for r. -41 Solve 2*d - 7*d + 4*f + 175 - 55 = 0, 0 = d - 2*f - 66 for d. -4 Solve 3*u = 5*y + 35, 3924*u = 2*y + 4211*u - 2868 for y. -1 Solve 0 = -6246*s + 6242*s + 16, -4*s + 6 = 2*n for n. -5 Solve -28*o + 145 = 30*n - 26*o + 43, 4*n - 3*o = 2*o - 18 for n. 3 Solve -5*x - 2286 = 24*w - 2905, 2*x = -4*w + 102 for w. 26 Solve 175 = v - 7*w + 123, 0 = 5*v + 15*w + 90 for v. 3 Solve 2*y + 16 = -y - x, 4*x + 149 - 135 = -2*y for y. -5 Solve 0 = 5*l - 40*j - 253 + 910 + 638, j = -l + 29 for l. -3 Solve 3*a + 99 = 5*p, 3*p = -5*a - 9756 + 9829 for a. 2 Solve 2*w - 5*u + 11 = 3*w + 39, 2*w - 2*w + u + 5 = 0 for w. -3 Solve h + 98 - 91 = -24*o + 107, -o - 13 = 5*h + 4*o - 53 for h. 4 Solve -109*o = -d - 104*o - 20 - 0, -o = 3*d + 28 for d. -10 Solve -21*s + 4*k = -18*s + 46 - 5, 0 = -26*
{ "pile_set_name": "DM Mathematics" }
ator of -133/6 and (-12)/9 - 674/(-240). 120 Let b be (-38)/(-6) + 8/(-24). Suppose -32 = 2*z - b*z. Calculate the lowest common multiple of z and 8. 8 Suppose 9*g - 250 = 4*g. Suppose 0 = 5*s - 0*s - g. What is the least common multiple of (0 + 6)*(-1)/(-1) and s? 30 Let f(p) = p**3 + 2*p**2 - 2*p - 2. Suppose 10 = -d - 4*d. What is the lowest common multiple of f(d) and 8? 8 Let r = 7 + -4. Suppose r*z - 64 = -z. Calculate the smallest common multiple of z and 6. 48 Let w(z) = -z**3 + 6*z**2 - z + 2. Let b be w(6). Suppose -v + x = -x - 11, -2*x - 15 = -5*v. Calculate the smallest common multiple of (8 - 0)*(b + 5) and v. 8 Suppose w = 4*a + 4*w - 31, 5*a - 30 = 5*w. What is the least common multiple of 19 and a? 133 Let l = -851/28 - -113/4. Calculate the common denominator of (810/(-80))/(2 + -1) and l. 56 Let p(f) = -2*f - 1. Let k be p(6). What is the smallest common multiple of 5 and 2/(k/(-11) - 1)? 55 Let r be (1279/2)/((-1)/6). Let f = 34460/9 + r. What is the common denominator of f and -103/10? 90 Find the common denominator of 57/10 and 510/(-700)*(-14)/4. 20 Let f be (-2)/(-7) - 626/(-14). Find the common denominator of ((-10)/15)/(-2 + (-598)/(-309)) and f*1 + (-1)/(-2). 10 Let w = -486745/33 - -14752. Find the common denominator of w and -70/9. 99 Let n(o) be the third derivative of o**6/120 - o**5/12 - o**4/4 - o**3/3 - 4*o**2. Let f be n(6). What is the lowest common multiple of (-2)/f + 1 + -1 and 2? 2 Let g be (0 - 2) + (-8760)/(-68). Let k = g - 125. Find the common denominator of k and 19/2. 34 Suppose -r + 50 = 4*r. What is the least common multiple of 9 and r? 90 Let o(q) = -3*q**2 + 2*q - 1. Let a be o(1). Calculate the common denominator of 49/2 and ((-1)/a)/((-44)/4). 22 Let j be 3 + 4252/(-32) + -3. Let c = -132 - j. Find the common denominator of c and -89/4. 8 Let v be 5*(-8)/(-15)*-3. Let z(o) = o**2 + 6*o - 5. Calculate the least common multiple of 1 and z(v). 11 Let l = -16985/2247 - 4/321. Find the common denominator of l and -10/11. 77 Let k = -2/467 + 6083/2802. Calculate the common denominator of (4/(-30))/((-8)/(-470)) and k. 6 Let f(s) = 2*s**2 + 12*s - 14. Let r be f(-7). Suppose -5*a = 5*i - 35, 5*i = 2*a + 31 + 32. What is the smallest common multiple of 8 and -3 + i + 3 + r? 88 Suppose 0 = -2*m - m + 30. Suppose z = -z + j + 16, -z - 4*j = m. Calculate the least common multiple of (1 - z)*8/(-20) and 11. 22 Suppose 0 = 2*p + p - 66. Let c = p - 80/3. What is the common denominator of ((-12)/270)/((-2)/280) and c? 9 Suppose 0 = 2*r + 4*g + 5542, r + 2*g - 5566 = 3*r. Let l = -724/15 + 231/10. What is the common denominator of (-6)/(-21) - r/(-980) and l? 60 Let q(x) = -x**3 - 12*x**2 - 2*x + 8. Let z be q(-9). Find the common denominator of 2/(3/(78/44)) and z/(-56) - 2/(-2). 88 Let m = -385120699/880 + 2188334/5. Let v = 313/11 - m. What is the common denominator of 63/16 and v? 16 Let b be -1*-2*(-10)/(-4). Suppose -b*x + 16 = -x. Let a(r) = r**2 + 8*r - 12. Calculate the least common multiple of x and a(-10). 8 Let m(c) = -c**3 + 5*c**2 + 6. What is the least common multiple of m(5) and 1? 6 Let t be -1*31754/(-4) - -2. Let r = t + -103750565/13066. Let w = r + 646727/65330. Calculate the common denominator of w and 10/11. 110 Let h be 1/(-2) - 62/4. Let x = -14 - h. What is the lowest common multiple of 11 and x? 22 Calculate the lowest common multiple of 18 and 1/(-10)*12*-10. 36 Suppose 7*x = 3*x + 28. Suppose c - 11 = n, 3*c - 2*n + x = 45. Suppose 0 = 5*m + 29 - 79. What is the smallest common multiple of c and m? 80 Let h = -283596 + 1988853/7. Let i = -58385/112 + h. What is the common denominator of 31/6 and i? 48 Let p(f) = -2*f - 24. Calculate the least common multiple of p(-13) and 10. 10 Let u = 6 + -2. Let v be ((-65)/4)/(10/40). Let y = -43 - v. What is the lowest common multiple of y and u? 44 Let t = 47 - 29. Let f(g) = 3*g + 1. Calculate the least common multiple of f(7) and t. 198 Suppose -2*g - 2*g + 24 = 0. Find the common denominator of -19/3 and (-148)/8 + 2/g. 6 Let r be 0 - 18 - 3/(-3). Let y = r + 12. What is the smallest common multiple of 16 and ((-8)/(-10))/((-2)/y)? 16 Let v = 17 - 33. Let a(j) = -j**3 - 16*j**2 - j + 6. What is the lowest common multiple of 12 and a(v)? 132 Let n be (-2)/4 + (-27)/2. Let a = -365 + 3643/10. Calculate the common denominator of -2*(18/n - -1) and a. 70 Let c(i) = 8 - i**2 - 8*i + 2*i - 4*i. Let k(p) = -p - 2. Let j be k(8). What is the least common multiple of 16 and c(j)? 16 Suppose 25 = -3*l - 2*l, 0 = 2*h - 2*l + 84. Calculate the common denominator of -31/4 and h. 4 Suppose -3*s + 25 = -5*f - 6, 3*f + 13 = -s. Let r = 16 - s. Calculate the least common multiple of (-3 - 0)*4/(-6) and r. 14 Suppose -4 - 8 = -2*f. What is the least common multiple of 86 and f? 258 Let x be ((-8)/(-10))/(7/35). Suppose x*v - 2*v + 8 = 0. What is the lowest common multiple of (1 + v)/((-6)/44) and 6? 66 Calculate the lowest common multiple of 10 and (-6)/(-4)*244/3. 610 Let p be 6/(-15) - 18226/(-40). Let s be 453*(-2)/(-4)*2. Let f = p - s. Find the common denominator of f and 73/8. 8 Let p = 12766/14241 + -102/101. Let y = -4573/705 + p. Calculate the common denominator of 2/5 and y. 5 Let j = -10 - -18. Calculate the least common multiple of j and (-2 - 6
{ "pile_set_name": "DM Mathematics" }
is prob of picking 1 w, 1 s, and 1 t when three letters picked without replacement from tiwgsiijgtwswtwig? 3/85 Four letters picked without replacement from {j: 3, h: 5}. Give prob of picking 4 h. 1/14 Calculate prob of picking 1 k and 1 m when two letters picked without replacement from knnhmhhtnhom. 1/33 Calculate prob of picking 1 i, 1 t, and 1 z when three letters picked without replacement from {z: 5, i: 1, t: 3}. 5/28 Calculate prob of picking 3 g when three letters picked without replacement from rrzrrrrrgrggzggggr. 35/816 What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 6, e: 6}? 9/22 Two letters picked without replacement from lllhhll. What is prob of picking 1 h and 1 l? 10/21 Three letters picked without replacement from {j: 2, f: 7}. Give prob of picking 1 j and 2 f. 1/2 Calculate prob of picking 2 p when two letters picked without replacement from wpwwrpwprrwpp. 5/39 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 4, r: 3, c: 2, h: 1, l: 2}. 2/33 Two letters picked without replacement from gqqgqqyqqyqqyyy. Give prob of picking 2 g. 1/105 What is prob of picking 1 n, 1 k, 1 g, and 1 v when four letters picked without replacement from kznzrgvnk? 2/63 Three letters picked without replacement from qptqptqpwpt. What is prob of picking 2 p and 1 q? 6/55 Calculate prob of picking 1 p, 1 v, and 1 g when three letters picked without replacement from {g: 1, o: 3, v: 1, p: 2}. 2/35 Three letters picked without replacement from {q: 1, f: 8, v: 1, h: 8, c: 2}. What is prob of picking 1 v, 1 q, and 1 h? 2/285 Calculate prob of picking 2 h when two letters picked without replacement from {f: 1, y: 4, x: 3, v: 1, h: 7}. 7/40 Four letters picked without replacement from ofofbfffffoogfoff. What is prob of picking 1 g, 1 o, 1 b, and 1 f? 5/238 What is prob of picking 3 g and 1 j when four letters picked without replacement from ppgygjjggagggggpg? 12/119 Two letters picked without replacement from uurhjarax. What is prob of picking 1 r and 1 a? 1/9 Calculate prob of picking 1 m, 1 s, and 1 j when three letters picked without replacement from {j: 1, s: 8, m: 2, d: 5}. 1/35 Two letters picked without replacement from {s: 7, i: 6}. Give prob of picking 2 i. 5/26 Two letters picked without replacement from uxuuxbuxxssxxbs. Give prob of picking 2 u. 2/35 Two letters picked without replacement from drd. What is prob of picking 1 r and 1 d? 2/3 Calculate prob of picking 1 k, 1 d, 1 p, and 1 t when four letters picked without replacement from {t: 5, p: 1, k: 3, b: 1, d: 4, o: 1}. 4/91 Calculate prob of picking 1 z, 1 r, and 1 t when three letters picked without replacement from ztzzrzzrzzrzizitgi. 9/136 What is prob of picking 4 w when four letters picked without replacement from owowoww? 1/35 What is prob of picking 2 f and 1 r when three letters picked without replacement from rifiwiriwffiibrwrr? 5/272 Four letters picked without replacement from {g: 5, t: 4, b: 2, e: 4}. Give prob of picking 1 g, 1 e, 1 t, and 1 b. 32/273 What is prob of picking 1 y and 1 d when two letters picked without replacement from ddyyddd? 10/21 Calculate prob of picking 3 k and 1 c when four letters picked without replacement from {k: 3, c: 2, g: 3, r: 8}. 1/910 Three letters picked without replacement from zmmmmmzmm. What is prob of picking 3 m? 5/12 Two letters picked without replacement from hxhhhxhx. Give prob of picking 1 x and 1 h. 15/28 Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n. 1 Calculate prob of picking 2 u and 2 n when four letters picked without replacement from {n: 1, g: 2, u: 7}. 0 What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, a: 3, d: 1, m: 7}? 7/66 What is prob of picking 2 x when two letters picked without replacement from gxxkkxkxxxtxqtkqgk? 7/51 Two letters picked without replacement from troonrj. Give prob of picking 1 o and 1 n. 2/21 Two letters picked without replacement from {j: 3, d: 2, s: 6, z: 1}. Give prob of picking 1 j and 1 z. 1/22 Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {h: 1, i: 2, p: 2, j: 2, n: 5, u: 1}. 10/143 What is prob of picking 1 r and 1 u when two letters picked without replacement from zzzrzzqqwuq? 1/55 What is prob of picking 1 l, 1 c, and 1 w when three letters picked without replacement from hcllljheewwhhl? 2/91 Two letters picked without replacement from {o: 1, f: 1, p: 5, n: 3, i: 2, y: 1}. Give prob of picking 1 p and 1 o. 5/78 Calculate prob of picking 1 f and 2 t when three letters picked without replacement from ntnnhftnnnnnnnhn. 1/560 Two letters picked without replacement from {x: 1, g: 1, z: 1, f: 1, e: 1}. Give prob of picking 1 e and 1 z. 1/10 Two letters picked without replacement from {j: 7, f: 8, z: 1, q: 1}. Give prob of picking 1 j and 1 q. 7/136 Two letters picked without replacement from kkkkkkkg. Give prob of picking 2 k. 3/4 Four letters picked without replacement from {w: 3, l: 1, x: 1, i: 2}. What is prob of picking 1 l, 1 x, and 2 i? 1/35 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qilinllqlq. 1/15 What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 6, o: 2}? 3/7 Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuunuuunuuuuuuu. 68/95 Calculate prob of picking 1 n and 1 u when two letters picked without replacement from uiiznuniiiziinozun. 4/51 Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {d: 2, e: 4, c: 3, t: 8}. 4/17 Calculate prob of picking 1 k, 1 x, and 1 r when three letters picked without replacement from {k: 5, r: 5, x: 2}. 5/22 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from obezooabbbobobzzbba. 2/171 Calculate prob of picking 3 i when three letters picked without replacement from {i: 16, j: 4}. 28/57 Two letters picked without replacement from {l: 1, j: 6, p: 5, e: 3}. What is prob of picking 1 p and 1 j? 2/7 Three letters picked without replacement from eefffe. Give prob of picking 3 f. 1/20 Three letters picked without replacement from cusutrnrtnrn. What is prob of picking 1 c and 2 n? 3/220 Calculate prob of picking 1 j and 2 r when three letters picked without replacement from ddjrjrrdrddrdd. 5/91 What is prob of picking 3 n and 1 s when four letters picked without replacement from nnssnsssssssssss? 1/140 Calculate prob of picking 2 t when two letters picked without replacement from ojooogtotoj. 1/55 Calculate prob of picking 2 b and 1 l when three letters picked without replacement from {l
{ "pile_set_name": "DM Mathematics" }
Is -745 less than -790? False Which is greater: 36503 or 2/7? 36503 Which is greater: 2632/19 or 140? 140 Is -0.14 < 59130? True Which is bigger: -8 or 44046? 44046 Which is smaller: -148809 or -744047/5? -744047/5 Which is smaller: 4622 or 4697? 4622 Which is bigger: 1.5 or -36/661? 1.5 Are 862 and 761 unequal? True Which is greater: -34342 or -34341? -34341 Which is greater: -1/14 or -11040? -1/14 Is 811165 at least as big as 3244663/4? False Which is smaller: 104572/149 or 702? 104572/149 Is 0.2767174 bigger than 0.1? True Which is smaller: 1 or -24/18535? -24/18535 Is 5226 less than or equal to -56? False Is -1032529 <= -1032530? False Which is smaller: -5318 or -5317? -5318 Does 645 = 3232/5? False Are -50 and 114.74 equal? False Which is bigger: -40367 or -3? -3 Which is smaller: -73 or -7425/103? -73 Is 5269/523 <= 10? False Is 19098 less than or equal to 19175? True Is 28454/747 at most as big as 37? False Is -4/603 < 1? True Which is bigger: 1 or 13/374? 1 Which is bigger: 0.2 or 457553? 457553 Which is smaller: 25111 or 25081? 25081 Do -82317/2 and -41159 have different values? True Which is greater: -314305 or -314307? -314305 Which is bigger: 745 or 69897/94? 745 Is 3/22 bigger than -992? True Are 0.32158 and 0 equal? False Is 0 less than -177/247? False Is -186206 < -186208? False Which is smaller: -1631/519 or -4? -4 Is 919809 less than 919807? False Is 248789 < -2/5? False Which is smaller: 142309 or 142305? 142305 Is 1149199 at most 1149199? True Is 11962 > 11964? False Which is smaller: -11.5 or -6644? -6644 Which is smaller: 2119 or 2122? 2119 Do -1 and -18/14681 have different values? True Which is smaller: 8268 or 8270? 8268 Which is greater: 1/2724 or 1? 1 Is -5.36824 smaller than 1? True Which is smaller: -0.3 or -0.14467? -0.3 Are 1/2286553 and 1 unequal? True Is -115/8266 not equal to -1? True Are 1344 and 41694/31 unequal? True Which is bigger: -2 or 39? 39 Which is bigger: -7574 or -7599? -7574 Which is smaller: 667 or 2/31? 2/31 Which is greater: -30485/2 or -15242? -15242 Which is smaller: -18549/4 or -4636? -18549/4 Are 1 and -15100 unequal? True Which is smaller: 29189 or 0.11? 0.11 Is 1 less than 7/3919? False Is -11 at least 6996? False Is 4193 smaller than 0? False Which is smaller: 47 or -20? -20 Which is greater: 168 or -0.19? 168 Which is greater: -89/436 or -133? -89/436 Is 0 greater than or equal to -1/121304? True Which is bigger: -9144 or -9138? -9138 Which is bigger: 0.0534 or -17.53? 0.0534 Is 3956 greater than or equal to 3940? True Are 105114 and 105114 unequal? False Is -1/55843 less than or equal to -1? False Which is smaller: -73/4190 or 0? -73/4190 Is -1327 less than or equal to -9290/7? False Are -345756 and -345757 unequal? True Is 1.7 at most -31/5? False Is -1 >= 6/305545? False Is 9/21424 smaller than 0? False Is -2/48449 bigger than -1? True Which is smaller: 2990 or -278? -278 Which is greater: 1 or -8/915449? 1 Is 4660 > 4541? True Is -281389 equal to -281390? False Which is bigger: -1 or -5/40874? -5/40874 Do -2820 and 190 have different values? True Are 250.2 and -0.145 non-equal? True Which is smaller: -31 or -2189? -2189 Which is smaller: -13/1905 or -1? -1 Is 89/336 greater than 0? True Is -1917 >= -2149? True Is -56059 at most as big as -56027? True Which is smaller: 3/542977 or -1? -1 Which is greater: 35623 or 35624? 35624 Is -13011 >= -2? False Which is smaller: 2/7 or -1109819? -1109819 Are 8554 and 94086/11 equal? False Is 2538 greater than or equal to -0.35? True Is 0.2778 less than 22? True Is 546/107 less than 0.3? False Is 1 <= 1716/6785? False Which is smaller: 50884 or 203535/4? 203535/4 Is 1370 at least 6851/5? False Is -1002/1091 <= -1? False Is 1/4 greater than -422084? True Which is bigger: 3682 or 235/2? 3682 Which is bigger: 0.6008816 or 0.1? 0.6008816 Are -37337/10 and -3735 non-equal? True Is -1451 at most as big as -59543/41? False Which is smaller: -10/14839 or -1? -1 Which is smaller: -3482213 or -3482212? -3482213 Is 0 not equal to 840/1079? True Which is smaller: 1/2 or -11637? -11637 Is 0.05 not equal to -488.6? True Is 76 at most as big as 2.45? False Which is bigger: 61/8 or -87? 61/8 Which is greater: -1 or 18/2975? 18/2975 Which is smaller: -252/6661 or 0? -252/6661 Which is smaller: 94 or 0? 0 Is 1/11 <= 8486? True Is 118972/9 equal to 13218? False Is 124097 smaller than 124096? False Which is greater: 0.236 or 1/88? 0.236 Is -12 < 339? True Which is greater: -0.1 or -6.8911? -0.1 Do -2006 and -2215 have the same value? False Is -23610 <= -23610? True Is -30/43 bigger than 0? False Do -3/4 and -13975 have the same value? False Is -0.1 < -95547? False Which is greater: -1/356 or 138/61? 138/61 Which is greater: 12886 or 7? 12886 Are 3971335 and 0.1 unequal? True Which is smaller: 4 or 1362.63? 4 Which is greater: -1 or 3/2209? 3/2209 Which is smaller: 8466 or 8468? 8466 Are -197639 and -197653 nonequal? True Which is greater: -104387 or -104389? -104387 Are -1 and 164/1489 unequal? True Which is greater: -1396 or -876
{ "pile_set_name": "DM Mathematics" }
What is the ten millions digit of 41121008? 4 What is the ten thousands digit of 22773817? 7 What is the tens digit of 1291273314? 1 What is the ten thousands digit of 104782439? 8 What is the thousands digit of 10733609? 3 What is the tens digit of 168720967? 6 What is the hundred thousands digit of 926890587? 8 What is the hundreds digit of 514917689? 6 What is the tens digit of 32722453? 5 What is the units digit of 5947340205? 5 What is the ten millions digit of 174197499? 7 What is the hundreds digit of 58610722? 7 What is the thousands digit of 77519282? 9 What is the tens digit of 36717926? 2 What is the ten thousands digit of 195201816? 0 What is the hundreds digit of 1199818049? 0 What is the hundreds digit of 2949423998? 9 What is the units digit of 2201969680? 0 What is the ten thousands digit of 4542574249? 7 What is the tens digit of 2691030663? 6 What is the hundreds digit of 64937756? 7 What is the hundreds digit of 140161517? 5 What is the units digit of 291904504? 4 What is the millions digit of 39426237? 9 What is the units digit of 315687783? 3 What is the hundred millions digit of 6636371117? 6 What is the units digit of 56059504? 4 What is the hundreds digit of 97995399? 3 What is the hundred thousands digit of 194944410? 9 What is the millions digit of 10449943? 0 What is the tens digit of 503420151? 5 What is the hundreds digit of 41381990? 9 What is the hundred millions digit of 1537751111? 5 What is the thousands digit of 400759461? 9 What is the hundred thousands digit of 161998914? 9 What is the millions digit of 119391220? 9 What is the hundred millions digit of 104816624? 1 What is the ten millions digit of 540323714? 4 What is the units digit of 9114096? 6 What is the ten thousands digit of 2645866755? 6 What is the units digit of 66515218? 8 What is the ten millions digit of 272025635? 7 What is the thousands digit of 318140970? 0 What is the ten thousands digit of 397067724? 6 What is the ten thousands digit of 3901559743? 5 What is the units digit of 304653357? 7 What is the ten millions digit of 14401065? 1 What is the hundred thousands digit of 2599638679? 6 What is the thousands digit of 414311890? 1 What is the hundred millions digit of 194367794? 1 What is the hundred millions digit of 8530777779? 5 What is the ten millions digit of 1024463932? 2 What is the ten millions digit of 75848813? 7 What is the hundreds digit of 519316258? 2 What is the billions digit of 2446386506? 2 What is the hundreds digit of 135586613? 6 What is the millions digit of 43308136? 3 What is the hundred millions digit of 2422589297? 4 What is the hundred thousands digit of 14356822? 3 What is the millions digit of 3917817175? 7 What is the billions digit of 1564961408? 1 What is the units digit of 207611582? 2 What is the hundred thousands digit of 283683790? 6 What is the thousands digit of 169765119? 5 What is the hundred millions digit of 351496069? 3 What is the millions digit of 4457150462? 7 What is the thousands digit of 1852301806? 1 What is the ten millions digit of 260787133? 6 What is the units digit of 506844934? 4 What is the units digit of 57319530? 0 What is the hundred millions digit of 389852397? 3 What is the hundreds digit of 1693238652? 6 What is the ten millions digit of 216708338? 1 What is the hundred thousands digit of 201325692? 3 What is the units digit of 2485841636? 6 What is the units digit of 216430837? 7 What is the tens digit of 676348679? 7 What is the ten thousands digit of 887438103? 3 What is the tens digit of 1822638551? 5 What is the billions digit of 3534719990? 3 What is the hundred millions digit of 484876501? 4 What is the hundred thousands digit of 1093656775? 6 What is the hundred millions digit of 237305392? 2 What is the ten millions digit of 79466556? 7 What is the hundred thousands digit of 1555066? 5 What is the hundred thousands digit of 529309819? 3 What is the tens digit of 142396939? 3 What is the hundred thousands digit of 48003902? 0 What is the units digit of 418842360? 0 What is the millions digit of 25510784? 5 What is the billions digit of 3487227382? 3 What is the hundreds digit of 143882973? 9 What is the tens digit of 1190429820? 2 What is the millions digit of 257732214? 7 What is the hundreds digit of 440843538? 5 What is the hundreds digit of 60133361? 3 What is the hundred thousands digit of 46511716? 5 What is the ten thousands digit of 2127323347? 2 What is the units digit of 2721086434? 4 What is the thousands digit of 158741548? 1 What is the hundreds digit of 60367182? 1 What is the ten thousands digit of 59907951? 0 What is the hundreds digit of 31434916? 9 What is the hundreds digit of 1788628527? 5 What is the tens digit of 91247346? 4 What is the millions digit of 389449814? 9 What is the ten millions digit of 78713458? 7 What is the tens digit of 15367147? 4 What is the hundred thousands digit of 790778326? 7 What is the billions digit of 2859359981? 2 What is the hundred thousands digit of 89862738? 8 What is the hundreds digit of 128785074? 0 What is the millions digit of 7135521049? 5 What is the tens digit of 35789910? 1 What is the tens digit of 4334922651? 5 What is the ten millions digit of 39738143? 3 What is the hundreds digit of 107441746? 7 What is the ten millions digit of 75528657? 7 What is the ten thousands digit of 112553292? 5 What is the thousands digit of 653699176? 9 What is the ten thousands digit of 17396813? 9 What is the hundred thousands digit of 29357386? 3 What is the ten millions digit of 1657683975? 5 What is the hundred millions digit of 149444613? 1 What is the units digit of 2181682080? 0 What is the thousands digit of 5292065767? 5 What is the hundred millions digit of 4108496286? 1 What is the ten millions digit of 102553156? 0 What is the tens digit of 797395532? 3 What is the hundred millions digit of 957713410? 9 What is the millions digit of 300581769? 0 What is the tens digit of 36528985? 8 What is the thousands digit of 139404918? 4 What is the ten thousands digit of 65259658? 5 What is the ten millions digit of 237914765? 3 What is the ten thousands digit of 682733032? 3 What is the thousands digit of 110588074? 8 What is the ten thousands digit of 248248032? 4 What is the hundred thousands digit of 398758251? 7 What is the millions digit of 82237734? 2 What is the ten millions digit of 487653500? 8 What is the thousands digit of 3458151801? 1 What is the tens digit of 370911276? 7 What is the ten millions
{ "pile_set_name": "DM Mathematics" }
59415? 60459418 What is the next term in -808, -2737, -5780, -9943, -15232, -21653, -29212, -37915? -47768 What comes next: -8433, -17308, -26611, -36342? -46501 What is the next term in 234488, 468822, 703156? 937490 What comes next: -590952, -1181914, -1772872, -2363826? -2954776 What comes next: 1305408, 1305528, 1305854, 1306488, 1307532, 1309088, 1311258, 1314144? 1317848 What is next in 452083, 904326, 1356575, 1808830, 2261091? 2713358 What is next in -20992, -20850, -20704, -20554, -20400, -20242? -20080 What is the next term in 6747, 10384, 14021? 17658 What is the next term in -390740, -390648, -390552, -390452, -390348, -390240? -390128 What is next in 217, 1861, 6321, 15001, 29305, 50637, 80401? 120001 What is the next term in -29340, -58704, -88022, -117270, -146424, -175460, -204354, -233082? -261620 What is the next term in -1303719, -1303826, -1303933, -1304040, -1304147? -1304254 What is next in -5074, -7556, -10038, -12520, -15002? -17484 What is the next term in 1714586, 1714660, 1714734? 1714808 What is next in -21625830, -43251681, -64877554, -86503449? -108129366 What is the next term in -12812, -3544, 5726, 14998, 24272, 33548, 42826? 52106 What comes next: -1945, 3220, 17263, 44630, 89767? 157120 What is the next term in 705, 1435, 2495, 4047, 6253, 9275, 13275? 18415 What is next in -897192, -897191, -897190, -897189, -897188, -897187? -897186 What is the next term in 771035, 771051, 771067? 771083 What is next in 920, 1878, 2852, 3842, 4848, 5870, 6908? 7962 What is the next term in -15827092, -15827094, -15827096? -15827098 What is the next term in 138877, 139392, 139907, 140422, 140937? 141452 What is next in -78972789, -78972787, -78972785, -78972783, -78972781, -78972779? -78972777 What comes next: -27206, -27170, -27120, -27056, -26978? -26886 What is the next term in -162, 46, 218, 210, -122? -922 What is next in 955468, 3821911, 8599328, 15287725, 23887108, 34397483, 46818856? 61151233 What is the next term in -9693, -77374, -260947, -618318, -1207393, -2086078? -3312279 What comes next: -25327, -24694, -24061? -23428 What is the next term in -26861, -53199, -79609, -106127, -132789, -159631? -186689 What comes next: 210150163, 840600643, 1891351443, 3362402563, 5253754003? 7565405763 What is next in -2950210, -5900425, -8850640? -11800855 What is the next term in -4587, -6106, -7633, -9168, -10711? -12262 What is next in 261816, 523502, 785188, 1046874, 1308560, 1570246? 1831932 What comes next: -2367724, -2367792, -2367860, -2367928? -2367996 What is next in 421498, 422827, 424156? 425485 What comes next: -20761, -41089, -61415, -81739, -102061, -122381, -142699? -163015 What is the next term in -38450290, -153801159, -346052608, -615204637, -961257246? -1384210435 What is the next term in 3318795, 3318799, 3318803, 3318807? 3318811 What is next in 977878, 977863, 977822, 977743, 977614, 977423, 977158, 976807? 976358 What is next in 1313502, 1313508, 1313518, 1313532, 1313550? 1313572 What is the next term in 162771, 325501, 488223, 650937? 813643 What is next in -205589, -822978, -1852165, -3293150, -5145933, -7410514? -10086893 What comes next: -1385454, -2770597, -4155740, -5540883, -6926026, -8311169? -9696312 What is the next term in -493, -4460, -15223, -36178, -70721, -122248, -194155? -289838 What comes next: 4465, 20923, 37381, 53839? 70297 What is next in 727778, 1455561, 2183344, 2911127, 3638910? 4366693 What is next in -21981748, -43963496, -65945244? -87926992 What comes next: 226829, 228492, 230145, 231782, 233397, 234984, 236537, 238050? 239517 What is the next term in 37354, 45099, 52840, 60577? 68310 What is next in 3910, 7642, 11374, 15106, 18838? 22570 What comes next: -7203, -54775, -183069, -432447, -843271, -1455903, -2310705, -3448039? -4908267 What is next in 123766, 494854, 1113334, 1979206, 3092470, 4453126? 6061174 What is next in 729170, 1458320, 2187472, 2916626, 3645782? 4374940 What is next in 65519, 130543, 195081, 259139, 322723? 385839 What is the next term in 52312, 52423, 52538, 52657, 52780, 52907? 53038 What is next in -3643, -7267, -10891, -14515, -18139, -21763? -25387 What is the next term in -89526616, -89526624, -89526632, -89526640, -89526648? -89526656 What comes next: 9224, 18408, 27606, 36818, 46044, 55284, 64538? 73806 What comes next: -6273744, -6273742, -6273740? -6273738 What is next in 297935, 596018, 894101, 1192184, 1490267? 1788350 What is the next term in -39260, -157239, -353908, -629267, -983316? -1416055 What is next in -8069, -7930, -7703, -7388, -6985, -6494? -5915 What is next in 4077, 9447, 18385, 30885, 46941, 66547? 89697 What is the next term in -1292869, -1292860, -1292851? -1292842 What is next
{ "pile_set_name": "DM Mathematics" }
ate prob of sequence bd when two letters picked without replacement from bofdf. 1/20 Two letters picked without replacement from aiidsiv. Give prob of sequence sv. 1/42 What is prob of sequence gpp when three letters picked without replacement from pgpggpgppggggg? 15/182 Two letters picked without replacement from {b: 1, e: 1, s: 4, m: 1, x: 5}. Give prob of sequence bs. 1/33 Three letters picked without replacement from vvvevqvvvvvvvvqvvqve. What is prob of sequence qeq? 1/570 What is prob of sequence cklg when four letters picked without replacement from {c: 1, l: 1, d: 1, g: 1, k: 1}? 1/120 What is prob of sequence ro when two letters picked without replacement from woobbozrzbbzozrbrzr? 8/171 Calculate prob of sequence rj when two letters picked without replacement from {j: 1, r: 1, e: 2, h: 3}. 1/42 Calculate prob of sequence rvrv when four letters picked without replacement from grvvfbvhrbvggfvbvv. 7/6120 Three letters picked without replacement from dmjmrmmbdrdtrbjmdm. What is prob of sequence jbb? 1/1224 Four letters picked without replacement from {q: 9, f: 2, k: 1, v: 3, b: 2, s: 1}. Give prob of sequence bsfb. 1/18360 Two letters picked without replacement from ddsrddrdrrsrrrrrrrr. What is prob of sequence rr? 22/57 Calculate prob of sequence lmmt when four letters picked without replacement from {c: 3, m: 4, l: 1, t: 6}. 3/1001 Calculate prob of sequence dddd when four letters picked without replacement from {d: 6}. 1 What is prob of sequence jk when two letters picked without replacement from {k: 1, j: 2, b: 3, a: 4}? 1/45 Calculate prob of sequence sx when two letters picked without replacement from ffsxoosvfssx. 2/33 What is prob of sequence ucn when three letters picked without replacement from {c: 1, n: 2, l: 1, d: 1, f: 1, u: 1}? 1/105 What is prob of sequence cc when two letters picked without replacement from {c: 3, m: 2, o: 2, a: 2}? 1/12 Calculate prob of sequence gqd when three letters picked without replacement from wdgdgqggqggdggwqgd. 3/136 Two letters picked without replacement from qqcqcqqqccqqcq. Give prob of sequence cc. 10/91 Four letters picked without replacement from {m: 8, y: 5}. What is prob of sequence mmym? 14/143 What is prob of sequence vfk when three letters picked without replacement from wfzcvkw? 1/210 What is prob of sequence ee when two letters picked without replacement from {e: 2, z: 11}? 1/78 Two letters picked without replacement from {w: 3, u: 2, p: 2, e: 6, s: 1, t: 1}. Give prob of sequence tp. 1/105 Three letters picked without replacement from eeegegoogoeh. Give prob of sequence hge. 1/88 Calculate prob of sequence fbib when four letters picked without replacement from bifibbbiiibbbbiibb. 7/816 Two letters picked without replacement from {g: 3, a: 7, u: 2}. Give prob of sequence gg. 1/22 Two letters picked without replacement from {k: 1, t: 2, c: 2, b: 8}. What is prob of sequence bc? 4/39 What is prob of sequence sqs when three letters picked without replacement from {s: 3, q: 12}? 12/455 Two letters picked without replacement from {l: 1, u: 3, p: 3}. What is prob of sequence pp? 1/7 Calculate prob of sequence oohc when four letters picked without replacement from {b: 1, h: 1, p: 7, c: 1, o: 10}. 1/1292 Four letters picked without replacement from {b: 3, u: 1, s: 4, e: 1, j: 2}. Give prob of sequence essu. 1/660 Calculate prob of sequence vn when two letters picked without replacement from {q: 1, u: 2, n: 1, y: 2, v: 1, r: 1}. 1/56 Two letters picked without replacement from {k: 1, s: 1, c: 4, u: 2}. What is prob of sequence cu? 1/7 Four letters picked without replacement from leelij. Give prob of sequence ljil. 1/180 What is prob of sequence bb when two letters picked without replacement from ppbqmb? 1/15 What is prob of sequence gc when two letters picked without replacement from cgcgww? 2/15 Three letters picked without replacement from {i: 4, g: 6}. What is prob of sequence igi? 1/10 Two letters picked without replacement from qbqaqaqbbbqbqqbaqqqa. What is prob of sequence ba? 6/95 Calculate prob of sequence xu when two letters picked without replacement from xusneuxnxxxxunen. 3/40 Two letters picked without replacement from oqoooooqoooooqodoooo. Give prob of sequence dq. 3/380 Two letters picked without replacement from ixixnn. What is prob of sequence xx? 1/15 Two letters picked without replacement from aatsatajttotjsaagagj. What is prob of sequence ts? 1/38 Two letters picked without replacement from hssshs. Give prob of sequence hs. 4/15 Calculate prob of sequence exmd when four letters picked without replacement from {m: 4, d: 1, e: 2, x: 1}. 1/210 What is prob of sequence fv when two letters picked without replacement from vvffvvkfvvfvfffvvvff? 9/38 Three letters picked without replacement from {o: 2, e: 4, v: 10}. Give prob of sequence eeo. 1/140 Calculate prob of sequence mggm when four letters picked without replacement from {o: 2, m: 3, b: 2, g: 2, w: 4}. 1/1430 What is prob of sequence nnn when three letters picked without replacement from {i: 8, n: 3}? 1/165 Four letters picked without replacement from kqkqhkhthh. Give prob of sequence qqhk. 1/210 What is prob of sequence cj when two letters picked without replacement from xoxxjxcxoxxj? 1/66 Calculate prob of sequence wnl when three letters picked without replacement from adnlnwnadwnnwnnln. 1/85 Two letters picked without replacement from mmmmmmfmfffmmmmfmmm. Give prob of sequence fm. 35/171 Four letters picked without replacement from wgdgddg. What is prob of sequence gdgd? 3/70 Two letters picked without replacement from {p: 2, c: 5, e: 3, t: 2, o: 3}. Give prob of sequence oo. 1/35 What is prob of sequence gg when two letters picked without replacement from jpzgigbppgz? 3/55 What is prob of sequence nfnf when four letters picked without replacement from fnfnfn? 1/10 Three letters picked without replacement from goiig. Give prob of sequence iog. 1/15 Two letters picked without replacement from {o: 1, f: 2, h: 4}. What is prob of sequence of? 1/21 Calculate prob of sequence gg when two letters picked without replacement from {g: 3, c: 1, w: 8, q: 1, o: 2, d: 5}. 3/190 Two letters picked without replacement from yywhew. What is prob of sequence ye? 1/15 Two letters picked without replacement from {g: 5, r: 2, s: 3, y: 1, d: 1}. Give prob of sequence dr. 1/66 Calculate prob of sequence aq when two letters picked without replacement from hadddqa. 1/21 Two letters picked without replacement from {t: 1, h: 1, u: 1, o: 1, d: 4}. What is prob of sequence ht? 1/56 What is prob of sequence oewq when four letters picked without replacement from {e: 1, q: 1, w: 3, z: 7, o: 1}? 1/5720 What is prob of sequence bb when two letters picked without replacement from bbbbbb? 1 Three letters picked without
{ "pile_set_name": "DM Mathematics" }
tive of 5*g**6/6 - 2*g**3 - 5*g - 4. Let m(z) be the first derivative of v(z). What is the second derivative of m(s) wrt s? 300*s**2 Suppose -7 = x - 9. Differentiate -19*p**2 + 3 + 0*p**2 + 6*p**x with respect to p. -26*p Let q(r) be the second derivative of 0*r**5 + 17/6*r**3 + 0 + 0*r**2 + 0*r**4 - r + 4/21*r**7 + 0*r**6. Find the second derivative of q(c) wrt c. 160*c**3 Let w(h) = -273*h**3 + 4*h**2 - 2*h + 41. Let x(f) = 274*f**3 - 6*f**2 + 3*f - 38. Let m(d) = 3*w(d) + 2*x(d). Find the first derivative of m(k) wrt k. -813*k**2 Let q(n) = -n - 1. Let w be -3*(-5)/((-60)/(-4)). Let m(l) = 2*l**2 - 8*l - 2. Let f(g) = w*m(g) - 2*q(g). Find the second derivative of f(y) wrt y. 4 Let t(r) be the second derivative of 85*r**4/12 + 41*r**3/6 - 25*r - 2. Find the second derivative of t(a) wrt a. 170 What is the derivative of -5*d**2 - 12*d**4 - 32 + 4*d**2 - 91*d**4 - 43 + 3*d**2 wrt d? -412*d**3 + 4*d Suppose -3*j + 12 = 2*y, -7*y - 4*j = -4*y - 17. What is the derivative of 3*w - 1 - y - 13*w - 6 wrt w? -10 Let s(n) = 23*n**2 - 61*n + 4. Let z(d) = 19*d**2 - 7*d**2 - 4 - 30*d + 6. Let p(c) = 6*s(c) - 11*z(c). Find the second derivative of p(i) wrt i. 12 Let q(r) = r**2 + 10*r + 12. Let j be q(-8). Let u be 0 + j + 13 + -2. What is the third derivative of u*f**6 - 10*f**2 + 12*f**2 + 6*f**2 wrt f? 840*f**3 Suppose -a - 4 = 2*l, 4*l + 0*l = 4*a - 8. Let x(j) = j**3 - j**2 + 4. Let u be x(a). What is the derivative of 6*m - 2*m - m - u wrt m? 3 Let u(g) = -61*g - 363. Let q(o) = -20*o - 121. Let t(b) = 8*q(b) - 3*u(b). What is the first derivative of t(f) wrt f? 23 Differentiate -91 - 128 - 60 - 476*d - 102*d + 50 with respect to d. -578 Let v(w) be the third derivative of -32*w**6/15 - 4*w**5/15 - w**4/12 + 520*w**2. What is the third derivative of v(t) wrt t? -1536 What is the third derivative of -2*d**2 - 9*d**3 + 35*d - 16*d**3 + 0*d**2 wrt d? -150 Let t(h) be the third derivative of -13*h**8/112 - h**7/42 - h**5/10 - h**3 - 32*h**2 - 8. Find the third derivative of t(s) wrt s. -2340*s**2 - 120*s Let v(b) be the first derivative of -23*b**5/20 - 11*b**3/3 + 22*b - 14. Let s(f) be the first derivative of v(f). Find the second derivative of s(y) wrt y. -138*y Let z(b) be the second derivative of -5*b**5/2 - 7*b**3/6 + 3*b**2/2 - 16*b - 2. Find the second derivative of z(j) wrt j. -300*j Let z(k) = 41*k**3 + 13*k**2 + 3*k - 13. Let f(o) = o - o**2 + o + 20*o**3 - 6 + 7*o**2. Let r(p) = 13*f(p) - 6*z(p). Find the second derivative of r(c) wrt c. 84*c Let f = 59 + -48. What is the first derivative of 12 + f*p + 1 + 7 wrt p? 11 Let a(o) be the second derivative of 110*o**7/21 - 347*o**4/12 + 344*o. Find the third derivative of a(g) wrt g. 13200*g**2 Let t(w) be the second derivative of 3 + 2*w + 17/12*w**4 + 0*w**3 - 57/2*w**2. Differentiate t(l) with respect to l. 34*l Let r(q) be the third derivative of -233*q**6/60 - 95*q**5/12 - 400*q**2. Find the third derivative of r(k) wrt k. -2796 Let i = 35 - 15. Find the first derivative of n - 6*n + i*n - 47 wrt n. 15 Suppose -63*f + 180 = -72. Let p(m) be the first derivative of 9/5*m**5 + 2 + 0*m**2 + 0*m**f - 4/3*m**3 + 0*m. What is the third derivative of p(k) wrt k? 216*k Let x(j) be the third derivative of -61*j**4/3 + 143*j**3/6 - 358*j**2. Differentiate x(v) with respect to v. -488 Let m = -10 - -16. Let b be m/15 - 32/(-20). Find the first derivative of 4 - 6*k - b - 3 + 6 wrt k. -6 What is the third derivative of 22*s**2 - 2*s**2 - 3*s**2 - 2 - 87*s**3 - 3 + 3*s**2 wrt s? -522 Suppose -26 = -5*v - 6. Suppose s + 9 = v*s. Find the second derivative of x**2 + x + 2*x - 2*x + s*x wrt x. 2 What is the third derivative of 22*i**3 - 33*i**3 - 39*i**3 - 11*i**3 + 95*i**2 wrt i? -366 Let b(y) be the first derivative of 40 + 21/2*y**4 + 0*y**3 + 9*y**2 + 0*y. Find the second derivative of b(m) wrt m. 252*m Let c(h) be the second derivative of -23*h**4/3 - 5*h**3/6 + 282*h**2 - 479*h. Differentiate c(p) wrt p. -184*p - 5 Let v(o) be the second derivative of 0*o**4 - 2/15*o**6 - 5*o + 0*o**3 + 0*o**5 + 0 + 6*o**2. What is the derivative of v(a) wrt a? -16*a**3 Let t(l) = 350*l**4 - 25*l**3 + 25*l**2 + 25*l - 200. Let c(v) = v**4 - v**3 + v**2 + v - 1. Let b(n) = -25*c(n) + t(n). Differentiate b(f) wrt f. 1300*f**3 Let t be 2/29 - (1056/174 - 8). Let z(u) be the first derivative of -10 + 0*u + 8/3*u**3 - 13/2*u**t. What is the second derivative of z(y) wrt y? 16 Let f(u) = 19*u**4 - 209*u**3 - 19*u + 9. Let n(a) = -6*a**4 + 70*a**
{ "pile_set_name": "DM Mathematics" }
2 = 5*f - 122. Let h be 4/f - 6961/(-11). Suppose -2*z + h = z. Is z composite? False Let c(d) = d + 14. Let f be c(-11). Is 232/f - 2/6 a prime number? False Suppose -4*y = -6*r + 3*r + 60, 5*r = -2*y + 100. Suppose -3 + 15 = 3*x + o, o - r = -5*x. Suppose -z = -v - 32 - 5, -x*v - 74 = -2*z. Is z a prime number? True Suppose -399 = -4*z - 3*q + 51, 4*q = -5*z + 563. Is z prime? False Let b(h) be the third derivative of h**5/12 + h**4/6 + h**3/2 + 4*h**2. Let c be b(-5). Suppose t - 3*s - 19 = -7*s, -3*t + 5*s = -c. Is t prime? True Suppose 0 = 2*u + 4*d - d - 655, -d - 659 = -2*u. Is u composite? True Let i be 0 + 4 + (0 - -2). Let u(k) = 13*k + 1. Is u(i) composite? False Suppose 8*f + 6*f - 7798 = 0. Is f a prime number? True Suppose -3*q + 24 = -q. Let j(b) = -b**3 - 4*b**2 - 3*b + 1. Let x be j(-3). Let m = x + q. Is m a composite number? False Let f(k) = -k - 7. Let a be f(-4). Let o = 12 + a. Is o composite? True Suppose 3*r + 2*r = 1315. Suppose l + l - z = r, -405 = -3*l - 2*z. Is l prime? False Suppose -2*u + 18 = 2*s, -3*u - 16 - 20 = -4*s. Let t(c) = c**2 - 8*c + 1. Is t(s) a composite number? True Let q(y) = 83*y**2 - 2*y - 2. Is q(-1) prime? True Suppose -4*b - 2 - 2 = 2*j, 5*j - b - 12 = 0. Suppose -j*a + 31 + 163 = 0. Is a a composite number? False Let b(i) = -121*i**3 + 4*i - 1. Is b(-2) a prime number? False Let s = 956 + -453. Is s a prime number? True Let p = -2 - -4. Let i be 0/p*(-1)/(-2). Suppose i = 3*c + 5*z + 14 - 134, c + 2*z = 41. Is c a composite number? True Let b(s) = -s**2 + 3*s + 7. Let v be b(6). Let c = v + 15. Suppose 5*q - 5*h = 105, 2*q - 6*q - c*h = -92. Is q a prime number? False Let u be (12 + 4/(-2))*1. Let x = 12 + u. Is -1 - (2 + -2 - x) a prime number? False Suppose 0 = -4*x + 15 + 1. Suppose -f = x*h - 227, 3*h - 670 = -3*f + 2*h. Is f composite? False Suppose 5*u - 522 = 83. Is u a prime number? False Suppose 3*n - 20 = -n. Suppose -5*s + n*x + 425 = 0, -4*s = -3*x - 293 - 50. Let l = -33 + s. Is l prime? False Let u(j) = -46*j**2 + 6*j + 4. Let c be u(-6). Is (c/(-20))/(4/10) composite? False Let b be ((-30)/(-50))/((-2)/(-1310)). Suppose -b = -v - 100. Is v composite? False Let c(a) = -6*a**3 - 6*a**2. Let y be ((-25)/10)/((-1)/(-2)). Let g be c(y). Suppose h + w = -3*h + 815, 3*h - 3*w - g = 0. Is h a prime number? False Let r(n) = -n**2 - 6*n + 7. Let z be r(-5). Suppose -2*y + 4 - z = 0, -3*d + y + 13 = 0. Suppose -d - 43 = -h. Is h a composite number? True Suppose v + 665 = 3*c + 2*c, -3*c - 4*v + 376 = 0. Suppose 5*w + 41 = h, -4*h - 2*w + c = -6*w. Suppose -t + 6 + h = 0. Is t a prime number? True Let a(p) = 3*p - 7. Let f be a(-9). Suppose 2*t = 2*s + 2, 0 = s + 5*t - 33 + 4. Is f/s*(0 + -4) composite? True Let f be (2 - -1)/(1 + 0). Suppose -765 = -f*g + x - 0*x, 5*x + 1285 = 5*g. Is g a composite number? True Let k = -330 - -209. Suppose 2*m + 20 = -68. Let i = m - k. Is i prime? False Suppose 0 = -2*i + 78 + 40. Suppose -2*n = -6, -3*n - 139 - i = -3*p. Is p a composite number? True Suppose 2*a - 6 = 4*w, -3*a + 0*w + 2*w + 5 = 0. Let g(m) = 40*m - 2. Is g(a) a prime number? False Suppose -4*t = -3*t + 2*u, -u = -t. Let i(j) = j**3 + 5*j**2 + 6*j + 1. Let o be i(-3). Is (1 - t)/o*59 a composite number? False Let x(p) = -p. Let t(o) = -11*o + 1. Let y(v) = t(v) - 5*x(v). Let u = 99 - 103. Is y(u) a composite number? True Let r(a) = -21*a - 10. Is r(-4) a composite number? True Suppose 2 = 2*p, -4*p - 12890 = -5*j + p. Is j prime? True Let o = -7 - -11. Suppose -o*b = -4 - 4. Is b prime? True Let i(o) = 41*o + 1. Suppose 3*j + 2*j = 25. Let s be i(j). Let d = 351 - s. Is d a prime number? False Let x be (-4578)/(-30) + (-2)/(-5). Let p = x - 106. Is p a prime number? True Let n = -30 + 10. Let w = -12 - n. Let c = w + 15. Is c composite? False Let n be 2*(-3 - (1 - 3)). Let q(m) = 15*m**2 + m. Is q(n) a prime number? False Let x = 1540 - -1399. Is x a composite number? False Let k(d) = d**3 - 10*d**2 + 9*d + 2. Let a be k(9). Suppose a*t + 0*t - 5*z - 50 = 0, t - 25 = z. Is t a composite number? True Let i = -16 - -983. Is i a composite number? False Let k(l) = 84*l**2 + 2*l + 1. Is k(2) prime? False Let b(m) = -65*m - 8. Is b(-6) a composite number? True Suppose 6*z = z - 45. Let y(d) = -d**3 - 9*d**2 + d + 11. Let w be y(z). Suppose 108 + 206 = w*o. Is o a prime number? True Suppose -2*f + 2321 = -525. Is f a composite number? False Let k(v) = -v**2 + 5*v**3 + 4 - 2*v + 2*v**3 + 5*v
{ "pile_set_name": "DM Mathematics" }
(b) 0.06 (c) -3 (d) -195 (e) 0.28 e Which is the fourth biggest value? (a) -18 (b) 9 (c) -4 (d) 0 (e) 2/15 c What is the fourth biggest value in -2, 5, 1/3, 117, 1/2? 1/3 What is the third biggest value in -3, 33, -206, -8? -8 What is the second smallest value in -442, 0.12, -29, 2? -29 What is the fourth smallest value in 96, 0.034, -0.1, 4? 96 What is the biggest value in 5.52, -4, 29? 29 Which is the smallest value? (a) 1314 (b) 3/4 (c) -0.3 (d) 2 (e) -2 (f) 3 e What is the third smallest value in -4/3, -1/6, 91, 0.3, -6, 0? -1/6 Which is the third smallest value? (a) -2/3 (b) 0.04 (c) 4/59 (d) 0 (e) -1/6 d What is the smallest value in 1/2, -108/11, -25? -25 Which is the second smallest value? (a) 2 (b) -0.2 (c) 748 (d) 4/15 d Which is the second smallest value? (a) -1/2 (b) -0.4 (c) -0.014 (d) 5 (e) 23 b Which is the third smallest value? (a) 15 (b) -2/5 (c) 0.18 (d) -1/9 (e) -2 d Which is the second smallest value? (a) -0.5 (b) 9 (c) -0.3 (d) -0.07 (e) -4 (f) -5/31 a Which is the fourth smallest value? (a) -9/7 (b) 0 (c) 5 (d) 27 d What is the second smallest value in -1/6, -24/5, 1, 0.2, 2/9, -295? -24/5 Which is the third smallest value? (a) -0.48 (b) 2/7 (c) -65 (d) 2 b Which is the biggest value? (a) -24.516 (b) 0 (c) 1/6 c Which is the smallest value? (a) 3/62839 (b) -0.1 (c) 4/11 b Which is the fifth biggest value? (a) -382 (b) 0.2 (c) -1 (d) 4/5 (e) 1/8 a What is the fifth biggest value in 3, -0.3, 1, 0.1, -6, 85? -0.3 What is the second biggest value in -3, -1/294606, -1/3? -1/3 Which is the smallest value? (a) -0.3 (b) -1 (c) -2 (d) 1.77 c What is the fourth biggest value in -8, 1, 2/5, -2.1, -4, 5? -2.1 What is the second biggest value in 3/8, -70879, -3? -3 Which is the fifth smallest value? (a) 5 (b) -1/2 (c) 3/19 (d) 0 (e) -891 a What is the third smallest value in 1/2, -0.242, 2, -2/9, 11? 1/2 Which is the sixth biggest value? (a) 4 (b) 2/3 (c) -1/8 (d) 0.5 (e) -11 (f) -2/13 e Which is the second biggest value? (a) 1/4 (b) -2.57 (c) -3 (d) -1/5 d Which is the fourth biggest value? (a) -2 (b) 3 (c) 1 (d) -22 (e) 80 a Which is the second biggest value? (a) -0.286 (b) -0.1 (c) 11 (d) -4 (e) -0.3 (f) 0 f What is the third smallest value in -58, -2/5, 0.1, 0.26? 0.1 What is the fourth biggest value in 3112, -4, -4/3, 2, -3/2? -3/2 What is the third smallest value in -0.15, 4, -93037? 4 Which is the sixth biggest value? (a) 2 (b) -106 (c) -3 (d) 5 (e) 64 (f) -4 b What is the biggest value in 0.2, -786, 0, 1, 4/7? 1 Which is the second smallest value? (a) -1/9 (b) 27.9 (c) -1 (d) -0.5 (e) 0.034 d Which is the fifth smallest value? (a) -1 (b) 5 (c) -4 (d) -3 (e) 17 (f) 1864 e What is the fourth smallest value in -49/5, 917, 3, 0.3, -0.5? 3 Which is the second biggest value? (a) 2103 (b) -0.112 (c) 1 c What is the fifth biggest value in 3, -1/11, 18, -2/17, 0.2? -2/17 What is the third biggest value in 0.25, 257, -4, -6, -2/3? -2/3 What is the fourth biggest value in -0.5, 8, 3, 0, 0.2, -0.04? 0 Which is the second biggest value? (a) -4/5 (b) 0.616495 (c) -0.5 (d) 5 (e) -4 (f) -0.2 b Which is the second smallest value? (a) 2/11 (b) 0.5 (c) 4 (d) -1341 (e) 3/4 a What is the second smallest value in -3, 117, 4, 0.2, 5? 0.2 What is the second biggest value in 2/11, 230/39, 0, -3? 2/11 What is the second smallest value in -4, -20925, 2/13? -4 Which is the biggest value? (a) -0.101 (b) 1/4 (c) -2/7 (d) -27.2 b Which is the fourth biggest value? (a) 419 (b) -4/3 (c) -0.2 (d) -4 d Which is the biggest value? (a) -2/5 (b) -4 (c) 11 (d) -3 (e) 15/13 (f) 4 c What is the smallest value in -5, -4, -80890? -80890 Which is the third smallest value? (a) -2 (b) 5 (c) -907 (d) -6 (e) 1/2 a What is the second biggest value in -15, 2, 1/512, 3/5? 3/5 Which is the smallest value? (a) -0.04 (b) -2/7 (c) 20.28 b What is the smallest value in -2, 1018, -4, -0.6, 2/15? -4 Which is the fourth biggest value? (a) -1 (b) -2 (c) 69 (d) -3/8 (e) -4/3 e What is the biggest value in 3/5, 0.5, -2.02, -0.2, 4? 4 What is the third biggest value in 1.040555, -0.5, 2/7? -0.5 What is the third biggest value in -1/2, 3, -
{ "pile_set_name": "DM Mathematics" }
Expand 1025 + 5*i**2 + i - 1025 + 0*i + 0*i - i**2 + (-2 + 0 + 4)*(-1 + 1 + 2*i**2) + 2*i + i**2 - 2*i - 3*i + 3*i + i**2. 10*i**2 + i Expand (-2 + 2*v + 2)*(-2 + 0 + 0)*(v - 2*v + 4*v + (5 - 2 - 2)*(-2*v + 4*v - v) - 8*v + 3*v - 3*v)*(0 - v**2 + 0). -16*v**4 Expand (14*r**3 - 45*r + 3*r**3 - 16*r**3)*(r - 2*r - 2*r). -3*r**4 + 135*r**2 Expand (-6 + 3 + 1 + (4 + 4 - 11)*(0 - 3 - 6) - 1 + 5 - 3 + (0 - 1 + 2)*(4 + 0 - 5) + 5 - 1 - 2)*(1 + v**3 - 1). 27*v**3 Expand (3 - 3 + 2*o)*(o**4 + o**4 + 0*o**4) + (-13*o**4 - 4*o**5 + 13*o**4)*(0 + 3 - 4)*(3 + 3 + 11). 72*o**5 Expand -25*x + 11*x + 13*x + (-5 + 17 + 9)*(3 + 5*x - 3). 104*x Expand (3*d**2 + d**2 + 8*d**2)*(2*d**2 - 4*d**2 + 9*d**2). 84*d**4 Expand (1 + 3 - 5)*(32 + 15*l - 32)*(0*l**3 - l**3 + 5 - 3). 15*l**4 - 30*l Expand (18 - 18 + 19*k**2)*(-k**2 + 0 + 0) - k**4 + 0*k**4 - k**4 - 7*k**4 - 24*k**2 + 24*k**2. -28*k**4 Expand 0*y**3 + 5*y**3 - 2*y**3 + (-2*y**2 - 2*y**2 + 2*y**2)*(y + y - 3*y) + 4 - 2*y + 2*y**3 + 0*y + 3*y - 5*y**3 - y**3 + y**3. 2*y**3 + y + 4 Expand 1021 + 2929*y - 2930*y - 305 - 2*y + 2 - 2 + (6 - 4 + 0)*(1 - 1 + 2*y) - 4 + y + 4 + 2*y - 3*y + 0*y. y + 716 Expand (-71 + 77 + 30)*(-4 + 3*h - 5*h + 5). -72*h + 36 Expand ((-2*h - h + h)*(-h - 5*h + 4*h) - 1 + 1 + 2*h**2)*(-4*h + 1 + 3 + 2*h)*(0*h + 0*h - 2*h). 24*h**4 - 48*h**3 Expand (3*k - 5*k + 6*k)*(1542 - 1542 + 168*k). 672*k**2 Expand (3*d**2 + d**2 - 2*d**2)*(4*d + 0*d - 2*d + (-d + 1 - 1)*(-1 + 4 - 2)) + (-3*d**2 + 4*d**2 + 4*d**2)*(-5*d - 3 + 3). -23*d**3 Expand 4*p**5 - 6*p**2 + 6*p**2 + (2*p**3 - 3*p**3 - p**3)*(-31*p**2 + 5*p**2 - p**2). 58*p**5 Expand (-4 + 2 - 1)*(-4*y**3 + 4*y**3 - 2*y**4) - 1352*y**4 + 3 - y - 1 + 1378*y**4. 32*y**4 - y + 2 Expand (8*c**2 + 12*c**4 - 8*c**2)*(-3*c + c + c + (-3*c + 2*c + 2*c)*(3 + 2 - 1) - 2 + 2 + 2*c + (-1 - 2 + 5)*(c - 2 + 2)). 84*c**5 Expand (99519 + 162*y - 99519)*(-3*y - 2*y + 7*y). 324*y**2 Expand (4*b - 4*b + b**2)*(2*b**2 - 2*b**2 + 2*b**2)*(90*b + 2 - 123*b - 175*b). -416*b**5 + 4*b**4 Expand (z - 2*z + 3*z)*((z - 3*z + z)*(2 + 0 - 3) - 9*z - 10*z + 2*z). -32*z**2 Expand 2*m**5 + 2*m**4 - 2*m**4 + (-1 + 4 - 1)*(0*m**5 - 2*m**5 + 4*m**5) + 1646*m**3 - 1646*m**3 - 3*m**5. 3*m**5 Expand (177*l + 175*l + 371*l)*(0*l + 0*l + l**2). 723*l**3 Expand (-270*s + 270*s - 30*s**2)*(4 - 1 - 5)*(2 + 2 + 1). 300*s**2 Expand (-104 + 21*l - 22*l + 26)*(0 + 1 + 0). -l - 78 Expand (-1 + 8 + 1)*(z - 4*z + z)*(9*z + 2*z - 7*z). -64*z**2 Expand 18*i**4 + 6*i - 28*i**4 - 17*i + (-4*i + 4*i + 2*i)*(-2*i**3 + 0*i + 0*i). -14*i**4 - 11*i Expand (-49 - 13 - 22)*(o + 2*o - 4*o). 84*o Expand (5 - 3 - 1)*(-22*z - 319*z - 218*z). -559*z Expand 0*u + 0*u + u + 2*u + 0 + 0 - 6*u - 19*u + 3*u + (-2 + 2 + 1)*(0*u - 4*u + 3*u). -20*u Expand (-v - 6*v + v)*(-41*v + 7*v - 28*v) + (2*v**2 + 2 - 2)*(-3 + 1 + 4). 376*v**2 Expand -j - 2*j**5 + j + (850*j + 64*j**2 - 850*j)*(0*j**2 - 2*j**3 + 0*j**2) - 4*j**3 - j**5 + 4*j**3 + (3*j + j - 6*j)*(3*j**4 - 3*j**4 + j**4). -133*j**5 Expand (-7*j + 15*j**3 + 7*j)*(-j + 0*j - j)*(j + 0*j + j)*(1 - 3 + 0) - 7*j**5 - 3*j**5 + 5*j**5. 115*j**5 Expand (5*p**3 - 3*p**3 + 0*p**3)*(-2 + 3 - 5) - 1359*p + 133*p**3 + 1359*p. 125*p**3 Expand (9 - 12 + 7)*(-4*p**2 - 14*p**2 + 7*p**2) - 2*p**2 - p**2 + 2*p**2. -45*p**2 Expand 12*g**2 - 2*g**2 - 27*g**2 + (-6*g + 2*g + 3*g)*(2 - 2 - 2*g) - g**2 + 4*g**2 - 2*g**2 + (2*g**2 + g**2 - 2*g**2)*(0 + 0 + 1). -13*g**2 Expand (-2*k - 29*k**4 - 30*k**4 + 23*k**4)*(k + 2*k - 4*k). 36*k**5 + 2*k**2 Expand (-k + 2*k + 2 - 2*k)*(-2 - 24 - 2 + (-2 + 1 - 1)*(1 - 2 + 2) + 6 + 0 -
{ "pile_set_name": "DM Mathematics" }
5. Let q = -10 + 4. Let l = q + 8. Which is the nearest to 2? (a) l (b) 4 (c) g a Let s(o) = o**3 - 7*o**2 - 11*o + 16. Let k be s(8). Which is the closest to 1? (a) k (b) 0.5 (c) 2 b Let i = -0.26 - -0.26. What is the closest to -1 in -7, i, 2? i Let m be ((39/(-18))/(-13))/(4/(-12)). What is the nearest to m in -3, 1, 0.1? 0.1 Let w = -6 + 5. Let f(x) = x**3 + 6*x**2 - 7*x - 2. Let g be f(-7). What is the nearest to g in 0, w, 2? w Let d be (-28)/30*-114 - 3. Let z = -103 + d. Which is the closest to z? (a) 1 (b) 0 (c) -0.3 b Let p = 20 - 21. What is the nearest to 0 in 0.02, 5, p? 0.02 Let v(k) = k**3 + 6*k**2 + 4*k - 4. Let a be v(-5). Let z be ((-4)/(-2))/(a*3). Let i = 28 + -29. What is the closest to i in -2, z, 2? -2 Suppose 3*u + 0 = 3. Let a be 1 - 2 - (0 - u). Let k be 4 + 2*1/2. What is the nearest to a in 2/7, k, 0.2? 0.2 Let a = 5.24 + -6.4. Let o = -0.16 - a. Let s = 92 + -1103/12. What is the nearest to o in 2/7, s, -0.4? 2/7 Let p = 2.74 - 2.4. Let g = p - 0.04. What is the closest to -0.1 in -1, g, 2? g Let x = 0.3 - -0.7. Let b = 5 - 8. What is the nearest to x in 2/5, 1, b? 1 Let h = 6 + -5. Let p = 0.06 + 0.94. What is the nearest to p in h, 0.3, 1/3? h Let x = -127/177 - -3/59. Let k = -11.6 + 7.6. Which is the closest to x? (a) 1 (b) k (c) -3 a Let r = -20 - -20.3. Let d(u) = u**2 + 7*u - 5. Let z be d(-7). Which is the nearest to 1? (a) z (b) -1 (c) r c Let o be -2 - 1/(10/(-22)). Let i = -0.09 - -0.05. Let g = i - 0.96. What is the nearest to g in 3, o, 2/7? o Let g be 2/8 + (-8)/(-16). Which is the nearest to 0.1? (a) g (b) 2 (c) 5 a Let r = -0.1 + 0.1. Let n = -237/4 + 59. Let m = -13 - -14. Which is the closest to r? (a) m (b) n (c) 4 b Let t be 0 + ((-19)/(-4) - 5). What is the closest to t in -7, -1/5, 5? -1/5 Let o = -315 - -314.6. Let n = -0.2 + 1.2. What is the nearest to n in o, -4, 4? o Let h be (-2)/24 + (-10)/(-30). Which is the closest to -0.2? (a) h (b) -4 (c) 0.3 a Let l = -2 - -1. What is the closest to l in -0.5, 2, -2/5? -0.5 Let f be 24/10 + 4/(-10). Suppose f*d + 2*d + 12 = 0. Let k = -0.19 - 4.81. Which is the closest to 1/3? (a) 2 (b) d (c) k a Suppose 4*a - 6 = 2. Let k be (((-2)/1)/a)/1. Let r be (-15)/k*1/3. What is the nearest to 0.1 in -5, -2, r? -2 Let u = -4.5 - 0.5. Let l = -0.3 - -0.4. What is the closest to 2/3 in 3/5, l, u? 3/5 Let u be (4/7)/(40/28). Let k = -0.2 + 0. Let d = k + 0.3. Which is the closest to d? (a) -1/3 (b) u (c) 1/4 c Let k = 3 + -2. What is the nearest to k in 1/7, 3/4, -5? 3/4 Let f = -5.7 - -5.3. What is the closest to 0.1 in f, 4/7, -2/13? -2/13 Let o = -67/63 + 9/7. Let q be 3/(-6)*0 + (-8)/20. Which is the closest to q? (a) -0.2 (b) o (c) 5 a Let d(o) = o**2 + 2*o. Let g(f) = -f**2 + 6*f - 3. Let r be g(6). Let a be d(r). Let s be (-1)/a - (-1 - 0). What is the closest to s in 0.5, 1/4, -4? 0.5 Let n be 38/6 - 2 - 1*4. What is the nearest to 0 in n, 0.4, -1? n Let u = -0.1 - -5.1. Let l(c) = -c**2 - 2*c + 1. Let a be l(-3). Let o = -4.82 - 0.18. What is the closest to a in 0, o, u? 0 Let t = -1.88 + -1.07. Let l = 0.05 - t. Which is the nearest to l? (a) -4 (b) -2/13 (c) 0.2 c Let m be (-21)/14*4/3. Let d be (39/21 + m)*2. What is the closest to 0.1 in -0.1, -1, d? -0.1 Let o = -3 - -2.9. Let q = 0 - o. Which is the nearest to q? (a) 1 (b) -4 (c) 2 a Let k = 1/2 - 0. Which is the nearest to -3? (a) 1 (b) -2/7 (c) k b Suppose -j + 0*j = -9. Let q be (-2)/j + (-15)/(-27). Let v = -4.4 - -4. Which is the closest to q? (a) 5 (b) 0 (c) v b Let x = 0.02 - -0.28. Let v = -0.1 + x. What is the nearest to 1 in -3, -0.1, v? v Let z = -41 + 41.5. What is the closest to -4 in 0.2, -5, z? -5 Let q = 28 - 30. Which is the nearest to -2? (a) q (b) 1 (c) 1/5 a Let u be 12/(-30) + -1 + 1. Which is the closest to 1/2? (a) u (b) -1/5 (c) -0.1 c Let x = -0.19 + 1.19. Which is the nearest to x? (a) -0.02 (b) 0.4 (c) -3/5 b Let r be ((-3)/9)/((-1)/(-3)). Suppose -3*f - 4 = 2. Let s be 48/44*f - -2. Which is the closest to 0? (a) s (b) 2 (c) r a Let g = -0.19 + -3.81. Which is the nearest to -1/2
{ "pile_set_name": "DM Mathematics" }
) = -8*j**2. Let n(o) = 4*o**2 - 2*o**2 - 6*o**2 + 3*o**2. Give w(n(y)). -8*y**4 Let x(k) = 11 - 11 - k**2. Let p(o) = -1 - 2*o + 2 - 1. Determine x(p(t)). -4*t**2 Let f(u) be the first derivative of 5*u**2/2 - 14. Let a(w) = w. Give f(a(t)). 5*t Let b(p) = -p**2. Let t(f) = -9*f. Give t(b(o)). 9*o**2 Let x(d) be the third derivative of -d**5/30 - 6*d**2. Let t(g) = -7*g + 2. Let c(a) = 15*a - 5. Let u(k) = 2*c(k) + 5*t(k). What is x(u(m))? -50*m**2 Let w(h) = 3*h. Let r(z) be the first derivative of -z**6/120 - z**3 + 3. Let b(t) be the third derivative of r(t). Calculate b(w(u)). -27*u**2 Let o(f) = 419*f. Let b(n) = -2*n. Calculate b(o(u)). -838*u Let q(d) = d**2 - 3*d - 3. Let o be q(4). Let s(y) = o - 4 - 2*y**2 + 3. Let u(z) = 2*z**2. Calculate u(s(i)). 8*i**4 Let w(i) = 2*i - 10. Let v(j) be the first derivative of -j**2/2 - 12. Determine v(w(q)). -2*q + 10 Let s(z) = 12*z. Let y(t) = 34*t**2. What is y(s(a))? 4896*a**2 Let d(a) = -8*a - 13*a + 19*a. Let h(i) = i**2. What is d(h(r))? -2*r**2 Let u(s) = 154*s**2. Let h(g) = 10*g. Determine u(h(b)). 15400*b**2 Let x(m) = 74*m**2. Let d(z) = 3*z. Determine d(x(i)). 222*i**2 Let l(s) = 24*s. Let r(q) = -34*q**2. Calculate l(r(v)). -816*v**2 Let k(s) be the third derivative of -s**5/20 - 2*s**2. Let l(f) = 834 - 3*f - 834. Determine l(k(r)). 9*r**2 Let y(g) = -1466*g. Let q(s) = 2*s. Calculate y(q(r)). -2932*r Let p(k) = 3*k. Let i(q) = 4*q**2 + 8*q. Determine i(p(o)). 36*o**2 + 24*o Let h(c) = c. Let w(y) = -88*y - 1. Calculate w(h(b)). -88*b - 1 Let j(y) = y**2 - y - 1. Let i(f) = 16*f**2 - 6*f - 6. Let t(k) = -i(k) + 6*j(k). Let o(d) = d**2. Calculate t(o(w)). -10*w**4 Let o be ((-10)/(-15))/(2/9). Let z(p) = -p + p + o*p**2. Let g(k) = k. Calculate z(g(y)). 3*y**2 Let m(k) = 5*k. Let b(o) = -2*o - 3*o + 7*o. What is m(b(d))? 10*d Let u(f) be the first derivative of f**3/3 - 13. Let j(h) be the second derivative of -h**3/2 + h. Determine j(u(o)). -3*o**2 Let n(k) = -47*k - 1. Let m(y) = -79*y**2. What is m(n(s))? -174511*s**2 - 7426*s - 79 Let h(m) = 6*m - 86. Let b(o) = o**2. Calculate b(h(y)). 36*y**2 - 1032*y + 7396 Let b(l) = -142*l**2 - 4*l. Let h(f) = -3*f. Calculate h(b(o)). 426*o**2 + 12*o Let k(r) = 599*r. Let s(a) = -2*a. What is s(k(z))? -1198*z Let r(w) = 7*w**2. Let t(a) = 102*a + 2. What is r(t(f))? 72828*f**2 + 2856*f + 28 Let o(l) = -l**2. Let u(h) = 44*h**2 - 4 + 4 - 18*h**2. Determine o(u(t)). -676*t**4 Let o(r) be the third derivative of 0*r**4 + 0 - 1/15*r**5 + 0*r**3 + 0*r - 2*r**2. Let p(h) = h. Give o(p(m)). -4*m**2 Let o(j) = 10*j**2. Let r(y) = -2*y**2 + 15. Give o(r(t)). 40*t**4 - 600*t**2 + 2250 Let h(v) = -122*v**2. Let l(n) = -30*n. Determine l(h(t)). 3660*t**2 Let i(w) = 8*w**2 - 26*w. Let z(a) = -3*a. Calculate i(z(u)). 72*u**2 + 78*u Let c(z) = -6*z**2. Let a(q) = -5*q + 4. Calculate c(a(m)). -150*m**2 + 240*m - 96 Let i(a) = 2*a**2. Let l(q) = 11*q**2 + 2*q. Give i(l(j)). 242*j**4 + 88*j**3 + 8*j**2 Let b(g) = -g**2. Suppose u + 5*q = 2*q - 4, -6 = 2*q. Let i(r) be the third derivative of 0*r**3 + 0*r**4 - 1/30*r**u + 0 + 0*r - 4*r**2. Give b(i(c)). -4*c**4 Let f(g) be the second derivative of 0*g**3 + 1/12*g**4 - g + 0 + 0*g**2. Let q(u) = -u + 5. Let z(p) = p - 3. Let r(h) = 3*q(h) + 5*z(h). Give r(f(y)). 2*y**2 Let l(u) = -3*u - 8. Let p(k) = 2*k + 5. Let h(c) = 5*l(c) + 8*p(c). Let b(w) = -19*w**2. Calculate h(b(a)). -19*a**2 Let r(v) = -v**2. Let w(n) be the first derivative of -6*n**2 + 2*n + 47. Give r(w(i)). -144*i**2 + 48*i - 4 Let l(f) = -33 + 68 - 33 + 25*f**2. Let c(x) = 2*x**2. Calculate c(l(j)). 1250*j**4 + 200*j**2 + 8 Let w(h) be the first derivative of 0 + 6*h**2 - 3 - 5*h**2. Let d(v) be the second derivative of v**4/12 - v. Determine w(d(b)). 2*b**2 Let n(u) = -8*u
{ "pile_set_name": "DM Mathematics" }
*a. Solve 2 = h*b - x for b. 3 Let q(t) = 3*t**2 + t + 1. Let l be q(-1). Suppose 5*b - l*n - 32 = 0, 0*b - b - 3*n = 8. Suppose -2*v = -0*y - 4*y + 2, 3*y = 3*v. Solve -v = b*m + 7 for m. -2 Let n(x) = x. Let o be n(2). Let u = -13 + 12. Let z = o - u. Solve -z*l - 2*l = 25 for l. -5 Let d(r) = 11*r**2 + 4*r. Let u be d(-3). Suppose 4*s = a + u + 74, 0 = -3*s - 3*a + 117. Suppose -2*o - 2*o = -s. Solve j + 4*j = -o for j. -2 Let l(i) = i**2 + 6*i - 7. Let b be l(-8). Suppose -2*k + 5*o = -30, 2*o - 44 = -4*k + 40. Suppose b*c - 4*c - k = 0. Solve 5*d - 3*d = c for d. 2 Let i = -2 + 2. Let f(q) = q**2 + 4*q - 7. Let u be f(-6). Solve u*j - 2*j + 12 = i for j. -4 Suppose 5*v - 3*g + 25 - 54 = 0, 3*v = 2*g + 18. Let s be (-14)/4*(-2 - 0). Solve 0 = -v*a + s*a for a. 0 Suppose -3*h + 4*p = -8, 0 = h - 3*p - 4 - 7. Let a = h + 4. Solve a = o + o + 8 for o. -4 Let u be 32/28*(-7)/(-2). Suppose -5*t + 5 = u*z - 3, -3*z + 6 = 5*t. Solve t = 4*b - 2*b + 2 for b. -1 Let y be (160/(-140))/(2/(-7)). Solve -y*o = 2 + 2 for o. -1 Suppose -3*w + w + 6 = 0. Suppose 0 = f + w*f - 8. Let l = 16 - f. Solve l = -4*x - 2 for x. -4 Let u be (-2)/4 + 75/(-10). Let i be (u/6)/(4/(-6)). Suppose 5 - i = g. Solve 9 - g = 3*l for l. 2 Let v(a) = 2*a**2 - 2*a + 4. Let m(z) = -z**2 + 3*z - 4. Let q(s) = -3*m(s) - 2*v(s). Let t be q(-5). Suppose 0 = 4*x - t - 16. Solve 0 = x*k + 2 - 7 for k. 1 Suppose -27*m + 32*m - 30 = 0. Let f(o) = o. Let r be f(3). Solve m*c = r*c + 6 for c. 2 Suppose 0 = -2*q - 2 - 2. Let d = 1 - q. Let l be 6/(1 + 1 + 0). Solve d = 3*j - l for j. 2 Suppose 5*q - 26 = 4*m - 9, 0 = 5*m + 15. Let l = -5 + q. Let v = l - -8. Solve v*o = 2*o for o. 0 Let s be (-90)/(-20) + 2/4. Let r be 8 - 8 - (-2 - 14). Solve s*x + 9 = -r for x. -5 Let b(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 2*u**2. Let h be b(-6). Let w(q) = 3*q - 3. Let n be w(h). Solve 22 = -4*i + n for i. -4 Let u = 24 + -14. Let x = -4 + u. Solve x*v = 2*v - 20 for v. -5 Let p(l) = -l + 3. Suppose -4*g + 3*x = 15, 5*x + 5 = -4*g - 2. Let a be p(g). Suppose 3*s = a*s - 12. Solve -s*c = 7 + 13 for c. -5 Let w be 34/10 - (-10)/(-25). Suppose -34 = -w*o - 5*a - 9, o + 4*a = 20. Solve 0 = -o*z - z - 5 for z. -5 Let f(k) = -k**2 + 9*k + 5. Let o be f(9). Solve 0 = -o*l - 5 - 0 for l. -1 Suppose -32 = -4*m + 8. Let l(z) = -z**3 + 5*z**2 - 3*z - 4. Let i be l(3). Solve 0 = 5*c + i + m for c. -3 Suppose -p - 3*p + 12 = 0. Let u = p - -2. Let x be 0 - 0 - 0/(-1). Solve x*m = -u*m for m. 0 Let r be (1/3)/((-5)/15). Let f = r + 3. Solve -f*u = -6*u for u. 0 Let y be 15 + -14 + (-1 - -1). Solve 3*b = 4*b - y for b. 1 Let b(z) = z**3 + 10*z**2 - z - 9. Let v be b(-10). Solve 0 = -2*f + f - v for f. -1 Let h be (6/(-9))/((-2)/117). Let b = h + -25. Solve 5*o + b = -11 for o. -5 Let i = 23 - 21. Solve i - 1 = -z for z. -1 Suppose 4*s + 28 = 3*f, 4*f + 8*s = 5*s + 79. Suppose -3*d + 20 = 5*k, 4*d = 5*k - 3*k - 8. Solve 0*z - 4*z + f = d for z. 4 Let s(f) = -f**3 + 3*f**2 + 2*f + 3. Let w be s(3). Suppose 2*v = -c + 9, -w = v - 5*c + 3. Solve -6*i = -v*i - 9 for i. 3 Let b = -186 - -191. Solve 0 = v + b - 7 for v. 2 Let r be 7 + -9 - (-2 - 0). Let t be (r/(-5 + 3))/2. Solve n + t = -2 for n. -2 Suppose 3 = 2*u - 1. Suppose -3*p - 27 = -5*s + p, -4*s + 32 = u*p. Let f = s - 6. Solve 0 = a - 6 + f for a. 5 Let b(f) = -f - 1. Let o be b(-3). Suppose 2*s = 5*n - 6, -4*s = s + o*n - 14. Suppose -5*w - 10 = -5*m, 4*w = -s*m - w + 18. Solve -m*r + 2 = -5*r for r. -2 Suppose 3*z + 3*c = 27 - 9, 5*z - 3*c = 14. Suppose -4*p + 4 = -0. Solve 3*l + z = p for l. -1 Suppose 0 = -2*z + 4*g - 16, 0 = 2*z - 3*g + 2*g + 1. Suppose -z*c + 0*c = 0. Suppose c = w + 2*j + 2*j, -5*w + 5*j = -25. Solve w*s = s for s. 0 Let t = -16 + 16. Let h(d) = -d**2 - d + 2. Let r be h(0). Solve -r*l + 2 = -t*l for l. 1 Let b = 21 - 21. Solve b*g = 4*g + 4 for g. -1 Let h be (-5 + 8)/(6/22). Suppose -y + 3*m + 12 = 0, -3*m - h - 4 = -2*y. Solve 2*z - y = 1 for z. 2 Suppose 4
{ "pile_set_name": "DM Mathematics" }
u, -u + w + 4*w = -q. Solve -2*p + 0*p = u for p. -4 Let m(h) = -h - 10. Let x be m(-10). Suppose -26 = w - 5*b, x*w = 2*w - b + 7. Let p be ((-5)/15*3)/w. Solve 0 = -g + 2*g - p for g. 1 Suppose 5*v + i = 263, 0*v + 3*v = -2*i + 155. Solve 0 = -11*q - 2 - v for q. -5 Let g(f) = f**2 - 9*f + 5. Let b be g(7). Let w(v) = v**2 + 7*v + 2. Let m be w(b). Suppose -9*k = -29 + 2. Solve 5 - m = -k*c for c. 5 Let m(t) = 3*t. Let b be m(1). Suppose 2*x - 19 = -k + x, -3*k - 4*x = -59. Suppose -b*a = -2*f - 7, 0 = -4*a + 2*f - 7*f + k. Solve 0 = a*o - 7 - 5 for o. 4 Suppose 26 = 4*s - 3*x, 3*s = 2*x - 12 + 31. Let n = -4 + 4. Solve n = s*z - 0*z for z. 0 Let w = -189 - -192. Solve 0 = w*p - 2*p - 4 for p. 4 Let m(q) = 10*q + 2. Let d be m(2). Let i be (-4)/d - (-4)/22. Suppose -3*h = 3*p - 28 + 4, i = -2*p - 4*h + 20. Solve 0 = -r - p + 11 for r. 5 Let j(k) = k - 3. Let u be j(5). Suppose x - u = n + 1, 3 = -n + 4*x. Let q be 0 + (11 - 9/n). Solve -4*v = q + 2 for v. -4 Let g be 0 + 0/(-1 - 4) + 2. Solve f + g = -3 for f. -5 Let t be (-3 + 1 - -11)*18/81. Solve -t*x = 10*x - 24 for x. 2 Let l(h) = -h**2 - 4*h + 3. Let d be l(-4). Suppose -6*c = -d*c. Suppose -7 = -i - c. Solve -5*j - 10 = -i*j for j. 5 Let w = 2 + 6. Solve -3*y = -y + w for y. -4 Suppose -3*x + 4*s + 1 = 0, 2*s - 1 = 4*x - 3*x. Suppose -x*q + 5*q = 2. Suppose -10*a = -7*a - 33. Solve 5*c - q = -a for c. -2 Let c be 56/(-14) + ((-14)/(-2) - 0). Suppose c*r = 12 + 15. Solve r = 2*o - 1 for o. 5 Let m = -2351 + 2361. Solve 27 = m*d - d for d. 3 Let g be 2 - ((-11 - -6) + 2). Solve 0 = 2*r - 5 - g for r. 5 Let y(q) = -q**3 + 10*q**2 + 4*q + 125. Let c be y(11). Solve 0 = 50*u - c*u - 8 for u. 4 Suppose -6 = 5*r - 6. Suppose r*n + 2*u = 4*n, -3*u = 0. Solve n = 2*f + 3 - 11 for f. 4 Let s = 9 + -4. Suppose 5*m + 27 = 3*q, 3*q - 1 = -s*m - 4. Let d = 67 - 65. Solve 2*u = d + q for u. 3 Let q(i) be the first derivative of i**3/3 - i**2 - 9*i + 13. Let s be q(4). Let h be (20/(-5))/(-4) + s. Solve h = -0*l - 3*l for l. 0 Suppose -3*d + 3*c + 33 = 0, -5*d + 32 = -d + 2*c. Solve -d = -7*l + 26 for l. 5 Suppose -4*n = -z + 8, 23*z - 19*z - 4 = 2*n. Suppose -k = -3*k. Solve k = -z*s - s for s. 0 Suppose -7*z + 3*z = 9*z. Solve -7*i - 3*i = -z*i for i. 0 Let r(k) = -2*k + 2. Let j be r(0). Let a = 19 + -17. Suppose -a*n = -8*n. Solve j*u + 0*u = n for u. 0 Suppose -6*m = -102 + 24. Solve 8*o - m*o = 25 for o. -5 Let n(d) = -d**3 - 9*d**2 - 3*d - 17. Let w be n(-9). Solve -3*f - 5 = w for f. -5 Let h(j) = -j**2 + 23*j - 110. Let m be h(9). Solve m - 18 = -g for g. 2 Suppose -2*v - 3*r = 3, v + 3*r = 5*r + 9. Let z = 39 + -36. Solve v*j - z = 6 for j. 3 Let i = 54 + -66. Let b(j) = j**3 + 12*j**2 + 6. Let d be b(i). Solve -2*o + d = o for o. 2 Let l be (-1106)/4*(320/56 - 6). Solve 82*z - l*z = 0 for z. 0 Let k = -4 - -7. Let n be 2 + (-1)/((-1)/3). Suppose n*g - k*g = 4. Solve z = g*z + 3 for z. -3 Let i(k) = -k**3 - 5*k**2 - 5*k + 4. Let y be i(-4). Let m = 13 - y. Solve 0*w - 25 = -m*w for w. 5 Let h(p) = p**3 - 2*p**2 + 4*p - 1. Let i be h(3). Let u(w) = 5*w - 30. Let g be u(0). Let v be (6/g)/((-1)/10). Solve 0 = v*x + 2*x - i for x. 5 Let q be -2 + (3 - 1) + 19. Suppose -3*l + q = 4. Suppose 5*n = 46 + 54. Solve -l*g = -0*g - n for g. 4 Let x be 0/(-10)*3/9. Solve -w + 12 - 10 = x for w. 2 Suppose 0 = -11*f - 44 + 297. Solve j + f = 18 for j. -5 Suppose 4*p + 4 = 8*p. Let l be 3 + (p + -2)/1. Solve x - l*x = 1 for x. -1 Let r be 6*-1*(5 + (-238)/42). Let i be ((-4)/8)/((-2)/4). Solve -i + r = -l for l. -3 Suppose 0*g - g - 6 = 0. Let n(s) = -s**3 - 7*s**2 - 7*s + 6. Let p be n(g). Suppose -p = -5*a + a. Solve l + a = 1 for l. -2 Let b = 2 + 2. Let d = 34 + -29. Let s = d - 3. Solve b = -s*f + 2 for f. -1 Suppose p - 29 = -v, -2*v + 0*v = -p - 43. Suppose -4*d + 5*h + 16 = -v, 5*d + 4*h = 9. Solve d*l - 4*l = 0 for l. 0 Suppose 32 - 192 = -8*g. Solve 0 = -g*q + 25*q for q. 0 Let y = -3 + 9. Suppose 2 = y*o + 2. Solve o = 4*k - 3*k for k. 0 Suppose 6*j = 48 - 12. Solve 6*
{ "pile_set_name": "DM Mathematics" }
replacement from uouuuuuuusisouusosuu. 4/1615 Three letters picked without replacement from {i: 5, s: 1, r: 7}. What is prob of picking 3 s? 0 Calculate prob of picking 2 i when two letters picked without replacement from {h: 1, m: 2, i: 4}. 2/7 What is prob of picking 2 d when two letters picked without replacement from dcddc? 3/10 Two letters picked without replacement from hbhqqhm. Give prob of picking 1 m and 1 q. 2/21 Three letters picked without replacement from lllyyylllyyyl. Give prob of picking 2 l and 1 y. 63/143 What is prob of picking 1 k and 1 c when two letters picked without replacement from {p: 3, w: 1, k: 2, c: 1, b: 5}? 1/33 What is prob of picking 2 t and 1 d when three letters picked without replacement from httghsdtdhzdtgd? 24/455 What is prob of picking 3 s when three letters picked without replacement from {h: 13, s: 6}? 20/969 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkk. 1 Two letters picked without replacement from pbblbgpppliopbg. Give prob of picking 2 g. 1/105 Calculate prob of picking 1 c and 2 q when three letters picked without replacement from endceccfqeneqnneee. 1/272 What is prob of picking 1 z and 1 g when two letters picked without replacement from gggggggggggzggzggggg? 18/95 Three letters picked without replacement from ligjl. What is prob of picking 2 l and 1 g? 1/10 Three letters picked without replacement from lslllszllllzszllllzl. What is prob of picking 1 z and 2 s? 1/95 Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {k: 2, g: 2, v: 3, w: 1, f: 6}. 6/91 Calculate prob of picking 1 y, 1 g, and 2 e when four letters picked without replacement from {b: 2, q: 1, e: 2, t: 4, y: 7, g: 1}. 1/340 Two letters picked without replacement from zrhuhuuhrrh. What is prob of picking 2 r? 3/55 Two letters picked without replacement from nznnzdnzznndznn. What is prob of picking 2 d? 1/105 Three letters picked without replacement from {v: 1, p: 1, f: 2, r: 1, i: 1, j: 1}. Give prob of picking 2 f and 1 i. 1/35 What is prob of picking 1 d and 1 j when two letters picked without replacement from {b: 4, d: 1, j: 5}? 1/9 Four letters picked without replacement from {x: 3, b: 1, f: 1, z: 2, s: 4}. What is prob of picking 2 z, 1 b, and 1 x? 1/110 Three letters picked without replacement from tppvqiiv. What is prob of picking 2 i and 1 t? 1/56 Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {s: 1, u: 6, j: 1, v: 1, i: 3, a: 1}. 3/286 Four letters picked without replacement from dgggiggigigiggigg. Give prob of picking 2 i and 2 g. 55/238 Four letters picked without replacement from jqqqqqqjjqjj. Give prob of picking 4 j. 1/99 Two letters picked without replacement from {k: 3, r: 6, l: 6}. What is prob of picking 1 k and 1 r? 6/35 Three letters picked without replacement from swvcccsvwccvcscc. What is prob of picking 1 c and 2 s? 3/70 Two letters picked without replacement from {c: 1, d: 2, a: 1, k: 2}. What is prob of picking 2 a? 0 Two letters picked without replacement from vzvzvvvooozvz. Give prob of picking 2 v. 5/26 What is prob of picking 1 f and 1 u when two letters picked without replacement from {u: 6, y: 4, w: 2, f: 1, k: 4, z: 2}? 2/57 Four letters picked without replacement from kzzzttzok. Give prob of picking 2 t and 2 k. 1/126 Two letters picked without replacement from {i: 3, k: 4}. What is prob of picking 2 i? 1/7 What is prob of picking 2 s when two letters picked without replacement from savaalsvsvfrsa? 6/91 Three letters picked without replacement from {i: 3, u: 2}. What is prob of picking 3 i? 1/10 Three letters picked without replacement from bdddbbbdbbbbbbbbbbbb. Give prob of picking 1 b and 2 d. 8/95 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {m: 3, q: 3, t: 7, u: 1, d: 4}. 4/153 Two letters picked without replacement from bbbbbb. Give prob of picking 2 b. 1 Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {p: 2, e: 4, q: 2, z: 3}. 6/55 Two letters picked without replacement from {t: 6, y: 4, x: 1, b: 6, w: 1}. Give prob of picking 1 y and 1 x. 4/153 Four letters picked without replacement from {i: 1, n: 3, k: 2, s: 6, g: 1}. Give prob of picking 3 n and 1 g. 1/715 Four letters picked without replacement from ittty. Give prob of picking 3 t and 1 i. 1/5 Three letters picked without replacement from {j: 1, b: 1, u: 1, a: 1, h: 1}. Give prob of picking 1 u, 1 a, and 1 h. 1/10 What is prob of picking 1 v and 1 o when two letters picked without replacement from lovvl? 1/5 Calculate prob of picking 1 f, 1 i, and 1 r when three letters picked without replacement from {i: 1, f: 3, r: 4}. 3/14 What is prob of picking 4 r when four letters picked without replacement from rrrrr? 1 Two letters picked without replacement from obpoonaoptboopnpp. What is prob of picking 1 b and 1 a? 1/68 Calculate prob of picking 3 t and 1 m when four letters picked without replacement from ttmttttt. 1/2 Calculate prob of picking 2 d when two letters picked without replacement from bddlbdllbw. 1/15 Two letters picked without replacement from rohpd. Give prob of picking 1 d and 1 o. 1/10 Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {a: 1, w: 1, v: 8, q: 7, o: 2}. 28/969 What is prob of picking 1 z and 3 e when four letters picked without replacement from eerezeezeereeeeez? 33/119 What is prob of picking 2 u and 1 b when three letters picked without replacement from {u: 2, s: 2, b: 1}? 1/10 What is prob of picking 1 e, 2 b, and 1 y when four letters picked without replacement from beybybbbtytyjbemtb? 14/255 Calculate prob of picking 1 k, 1 n, and 1 i when three letters picked without replacement from iiunykh. 2/35 Calculate prob of picking 2 k when two letters picked without replacement from {q: 1, i: 1, w: 2, k: 2, v: 1, s: 1}. 1/28 Two letters picked without replacement from evvuuuebrvueurevu. What is prob of picking 1 e and 1 b? 1/34 What is prob of picking 1 c and 2 o when three letters picked without replacement from {c: 2, d: 2, i: 2, o: 2}? 1/28 Four letters picked without replacement from kqkqpqovkvvjp. What is prob of picking 1 q, 1 k, 1 v, and 1 j? 27/715 What is prob of picking 2 r when two letters picked without replacement from rhrhh? 1/10 Four letters picked without replacement from gwwgwggwggwggggvvggg. Give prob of picking 1 w and 3 g. 286/969 Calculate prob of picking 2 c, 1 d, and 1 k when four letters picked without replacement from xkddcxxddrxccxd. 1/91 Three letters picked without replacement from {x: 5, t: 10, p: 4
{ "pile_set_name": "DM Mathematics" }
pose -5*p = -41 - 39. Let o be 582/42 + 2/14. Suppose -5*g + o = -4*j, 4*g - 1 = 5*g + 3*j. Solve -3*m - p = -u, -13 + 6 = 3*u + g*m for u. 1 Let l = 129526 + -129513. Suppose -d + 5*w = 4*d - 25, -w + 16 = 2*d. Solve -s - l = -4*c, -12 = 4*c - d*c for s. 3 Suppose d - 2*o = o - 6, -o = -3. Let t be 16/4 + d + 1. Suppose 0 = -4*n + t - 0, -p = -2*n - 1. Solve -5*q = 5*v + 40, -2 = 4*q - 3*v - p for q. -3 Suppose -40 = -5*t - d, 5 + 5 = -2*d. Let b = -7 + t. Solve b*z + 3*r = 8*r - 23, -5*r = -4*z - 21 for z. 1 Let y be 15/(-9)*663/(-85). Let j be 18/(-234) + 27/y. Solve 5*p = 2*l - 4, -2*p + l - j = -4*p for p. 0 Let j = -1021 - -917. Let a be 47/12 + (j/(-96) - 1). Let t be ((-2)/(-3))/((-4)/(-6)). Solve 0 = -a*d + 3*w + t, 58 = 4*d + 5*w + 17 for d. 4 Suppose -3*l + 12 = 0, -5*i - 4*l + 9*l + 595 = 0. Suppose -135 + i = -3*w. Solve w*c + 16 = -2*u, -5*u - 2 = c + 2 for u. 0 Let v = 8008 + -8004. Suppose -3*k = -8*k + 25. Solve 0 = -5*z + 3*o + 3 + v, 2*z + k*o = -22 for z. -1 Suppose -3*v = 2*v - 15. Let h be ((-17)/(-68))/((-2)/(-8)). Suppose -3*l + h = -5, l = -s + 7. Solve -2*z = -s*m - 19, -v*m - 2*z - 31 = 2*m for m. -5 Let q(y) = 233*y + 2333. Let b be q(-10). Solve -b*k - a - 13 = 1, -k - 12 = 4*a for k. -4 Let q(i) = -3*i**3 - 150*i**2 - 10*i - 455. Let m be q(-50). Solve m = -5*b + 19*r - 24*r, 5*b + 2*r = -27 for b. -3 Suppose -3*d - 2*x + 78 = 20, 62 = 3*d - 2*x. Solve 4*s + d = -4*i, -3*s + 10 = -5*i - 5*s for i. 0 Let k be (8/2)/(20/15). Suppose 89 + 112 = k*w. Suppose 77 = 2*f + w. Solve f*s + 1 - 4 = -2*m, s = -m for m. -1 Let q = 21 - 17. Solve 0 = -2*m - 5 + 3, -3*j = -q*m - 16 for j. 4 Let s be 0*(6/8 - 1/4). Suppose s = 2*a + 17 - 27. Solve a*i + 2*m = 24, -3*i - m + 0*m = -14 for i. 4 Let s = -6 + 9. Let c = -74 + 79. Suppose 0 = c*x - 18 - 2. Solve s*o + 3 = 0, -x*o + 0 = -5*t - 1 for t. -1 Let o(u) = 17*u**2 - 683*u + 129. Let z be o(40). Solve -p + 5*p - 19 = -3*l, -5*l - p = -z for l. 1 Suppose 5*z - 2100 = -5*z. Suppose 55*f - z = 48*f. Solve 4*o = -o + 2*x - 15, o + 5*x = -f for o. -5 Let b(f) be the second derivative of f**4/12 + 49*f**2/2 + 20*f. Let v be b(0). Let t = 52 - v. Solve 0 = 2*h + 2, 0 = -z - 2*z - 3*h + t for z. 2 Let u be (-3 - -1)/(-6 + (-224)/(-40)). Solve -5*x = 5*f - u, -5*x + 4*x = 5*f - 1 for f. 0 Let w(f) = 3*f**2 - 4*f + 1. Let u be (-66)/(-24) - (-2)/8. Suppose 3*g = u, 2*i - 11 = -3*i + 4*g. Let j be w(i). Solve j = -4*b, -4*b - 28 = 3*l - 0*l for l. -4 Suppose -g + 3*c = 4*c - 2, 0 = -5*g + 5*c + 50. Solve 2*p = g, 19 = -x - 5*p + 10*p for x. -4 Let x(s) = 129*s + 1164. Let v be x(-9). Solve -4*w = 4*b, -7*w = -5*b - v*w + 27 for b. 3 Let j = -1 - -6. Suppose -4*h - 8 = -4*w, 5*w - j*h = w + 10. Solve -i - 3 = w, -10 = -2*m - 0*i + 4*i for m. -1 Let m = -123 + 174. Suppose 0 = -v - m - 24. Let l = 80 + v. Solve -30 = 5*o + l*h, o - 3*o = h + 8 for o. -2 Suppose 19 = 2*z - 3*a, z + 16 = 4*z - 2*a. Suppose 4*d - 7*c - 24 = -5*c, 3*c + 4 = -z*d. Solve -2*f = d*b - 12, 5*b - 2*b = -5*f + 9 for f. 0 Let h be 1 - 11/9 - (-2970)/2430. Solve d - g + 1 = 0, g + h = -4*d - 3 for d. -1 Suppose 7*p - 25 = 52. Let s(b) = b - 5. Let m be s(p). Suppose -m*o + 33 = 9. Solve l = 2*h - 10, 0*h - h = o*l + 4 for h. 4 Suppose 35*x - 202 - 328 = 275. Solve -22*g = -x*g - 2*u - 6, 3*g + 4*u + 12 = 0 for g. 0 Let h(t) = -3*t**3 + 29*t**2 - 18*t + 75. Let a be h(9). Solve -5*j - s = 30, -25 = -a*s + 80*s for j. -5 Suppose 4 = 8*w - 92. Let r be (-3)/(-9) + 284/w. Suppose 6 - r = -9*u. Solve u*n - n = -p, 2*n - 20 = 3*p for n. 4 Let z(d) = 12*d - 139. Let g be z(12). Suppose -6 = -6*f + 3*f. Suppose 24 = 4*y + 5*t, -14 = -2*y - 6*t + 3*t. Solve g*x - 2*x + f = -m, -x = y for m. 1 Let o(z) = -z**2 + 25*z + 49. Suppose -2*l + 0*l = 2*c - 50, 0 = 3*c. Let q be o(l). Suppose 6*x - q - 11 = 0. Solve i + 3*s + 6 = -i, -5*s - x = -i for i. 0 Let m be ((-5)/(-125)*55)/(2/10). Solve 3*d + 4*l +
{ "pile_set_name": "DM Mathematics" }
a, 10 = -2*u. Let d(j) = 5*j + 1. Calculate the least common multiple of b and d(2). 77 Let h = 1/1403 - 65969/39284. Find the common denominator of h and -23/124. 868 Let i(j) = -j**2 + 7*j - 2. Let a be i(3). Suppose 6*f - 19 = -1. Suppose f*r - 212 = a. Calculate the lowest common multiple of r and 20. 740 Calculate the common denominator of 2/33 and (-13)/(-39)*8/(-14). 231 Suppose 3*j + 5*d = 217, -3*j = -45*d + 41*d - 172. Calculate the lowest common multiple of 144 and j. 576 Let w = -12917/8 - -465083/288. Calculate the common denominator of 47/24 and w. 288 Let o = -13/86 - 593/344. What is the common denominator of -1 - 8/20 - 1 and o? 40 Let w(c) = -2*c + 2. Let d be w(0). Find the common denominator of d/(-20)*(-132 + -10) - 3 and (35/(-12) - -2)*-7. 60 Let t = 82225603/806 + -102017. What is the common denominator of t and -93/20? 8060 Let a(z) = 2*z**2 + 16*z + 15. Let t be a(-6). Let r(c) = c + 17. Calculate the smallest common multiple of r(t) and 20. 40 Let h be 6/10 + 48/20. Suppose 0 = 4*k - h*k - 11. Calculate the least common multiple of (-150)/(-18) - (-4)/(-12) and k. 88 Let i = 532 - 512. Calculate the smallest common multiple of i and 382. 3820 Let z = 220 + -154. Calculate the lowest common multiple of z and 102. 1122 Suppose 2*p = 237 - 21. What is the smallest common multiple of (-13 - -1)*(-2)/3 and (4/(-12))/((-2)/p)? 72 Let g be 1*(2 - 33/(-1)). Suppose -5 = 3*d - g. What is the lowest common multiple of 3 and d? 30 Suppose 2*f - 3*c = 16 + 17, 2*f - 2*c - 38 = 0. Suppose -j = -b - 2*j + f, 3*b + 2*j - 70 = 0. Calculate the smallest common multiple of b and 48. 528 Suppose m = r + 290, 2*m + 5*r - 694 = -86. Suppose -3*u + 3*k + 291 = -2*u, 0 = -u + 4*k + m. What is the common denominator of u/(-10)*4/48 and -103/20? 20 Let b = 19/1655 - 1827577/1337240. Let g = b + -2/101. Let p = 2011/42 - 278/7. Find the common denominator of p and g. 24 Let p be (8/20)/(2/(-160)). Let h(j) = -j**2 - 9*j - 28. Let u be h(-12). Let m = u - p. What is the common denominator of m and 71/9? 9 Let x = -134 + 1465/11. Calculate the common denominator of x and (-20)/50 + (-236)/60. 33 Let d = -503281/50 - -10066. Find the common denominator of -13/8 and d. 200 Let y be ((-14)/3)/((-10)/(-15)). What is the least common multiple of 12 and 25 + (y - (-6 - -2))? 132 Let i be 42/(-135)*(-105)/(-5). Let t = -2201/330 - i. Find the common denominator of t and -81/16. 176 Let q = -408 - -420. What is the lowest common multiple of q and 30? 60 Suppose 0 = 3*n + n - 12. Calculate the smallest common multiple of 2*4 - 0/2 and (2/(n*2))/(21/441). 56 Let k = 11133 - 2538329/228. What is the common denominator of k and 45/16? 912 Calculate the common denominator of ((-1)/(-2))/((-22)/(-10)) and 41/12. 132 Let i = -5253/8 - -644. Find the common denominator of i and ((-1)/4)/((-2)/(-4)). 8 Suppose -28 = 2*f - 6*f. Suppose 0 = -4*q - 5*g + 108, g = -f*q + 3*q + 108. Suppose -q = -4*v + 17. What is the smallest common multiple of v and 26? 286 What is the smallest common multiple of 288420/621 + 4/(-9) and 22? 5104 Suppose 0 = 7*z - 2010 + 5517. Calculate the common denominator of -5 - z/72 - 1/3 and 73/46. 184 Suppose -4*t = 4*g, -5*g - 8 = -3*t + 32. What is the smallest common multiple of t and 136? 680 Let l(p) = -p**2 + 5*p + 5. Let j be l(4). Let a = j - -1. What is the smallest common multiple of (8/a)/(4/10) and 13? 26 Suppose 3*r = 16 - 1. Suppose 3*z - 90 = -r*x, -2*x - 3*z + 27 = -0*z. What is the least common multiple of x/2 + 3/(-2) and 7? 63 Let t = -125333/40104 - -1/5013. Calculate the common denominator of t and ((-214)/36)/1 - -1. 72 Find the common denominator of 6/10 - (-2432)/(-1120) and 169/378. 378 Find the common denominator of -31/117 and ((-1)/15)/((-2912)/8260). 936 Let y(a) = a**3 + 2*a**2 - 3*a + 2. Let s be y(-3). Find the common denominator of (46/(-5) + 0)/(896/(-160)) and (1/s)/((-10)/(-107)). 140 Let g be (6/(-2))/((-22)/(-462)). What is the common denominator of (-123)/g - 2/(-6) and -37/19? 133 Suppose 4*a - 119 = 105. What is the least common multiple of 63 and a? 504 Let p be ((-53668)/72 - 0)/((-2)/(-6)). Let m = p + 2241. Calculate the common denominator of -32/5 and m. 30 Let p be (-4)/14 + (-26797)/(-1008). Let b = p + -271/9. Let o = 249 - 1053/4. Calculate the common denominator of o and b. 16 Let z = -305 - -325. Let b = 3/319 + 46863/3190. Let i = -949/70 + b. Calculate the common denominator of i and z. 7 Let r(c) = -4*c - 25. What is the lowest common multiple of 2 - 4*3/12 and r(-8)? 7 Let q = -989 + 1157. Calculate the lowest common multiple of q and 120. 840 Suppose 4*d - 4*q = 92, 3*q + 12 = d - 5. Suppose 0 = -6*a + d - 2. What is the lowest common multiple of 20 and a? 20 Let d = -2 - -6. Calculate the lowest common multiple of d and -1*(-19)/5 + (-2)/(-10). 4 Suppose 0 = -4*p - 5*f - 433, -f - 4 = 3*f. Let b = 117 + p. What is the least common multiple of b and 15? 30 Calculate the common denominator of 13 - (6 + 6) - (-1982)/(-1934) and 18/7. 6769 Calculate the common denominator of -4 + 6 + 132/28*-2 and -81/820. 5740 Suppose 9*z - 13*z + 5*t + 33 = 0, 0 = 5*z - t - 57. What is the smallest common multiple of 44 and z? 132 Let f = 13/103 - 5203/1236. What is the common denominator of f and -43/100? 300 Let m(g) = -4*g + 3. Let l be m(-3). Calculate the common denominator of 7/(-35) - (-133)/l and 35. 3 Let h = -1130 + 6703/6. Let u be (-1)/(27/6) - (-146789)/48555. Let v = u - 1/1079. What is the
{ "pile_set_name": "DM Mathematics" }
third derivative of -4*g**6 + 104*g**4 - 759*g**2. -480*g**3 + 2496*g Differentiate 39*p**2*r + 2*p*r**2 - 3*p*r + 272*r**2 with respect to p. 78*p*r + 2*r**2 - 3*r Find the third derivative of 403*a**3 - 3*a**2 + 281*a. 2418 Find the third derivative of 14*f**6 - 2*f**4 + 2825*f**2 wrt f. 1680*f**3 - 48*f What is the derivative of -166*k*r**2*v - 2*k*r**2 - 136*k - 2*r**2*v - v wrt r? -332*k*r*v - 4*k*r - 4*r*v Differentiate -2005*y**4 - 3312 wrt y. -8020*y**3 What is the derivative of 471*t - 930? 471 Find the second derivative of -105*a*f*r**2 - a*f*r - a*r**2 + 9*a*r + a + 2*r**4 + 8*r wrt r. -210*a*f - 2*a + 24*r**2 What is the third derivative of -66*b**3*v**3 - 6*b**3*v*y**2 + 2*b**3*v - 2*b**3 + 19*b**2*v**3*y**2 + 3*b - 9*v**2*y**2 wrt v? -396*b**3 + 114*b**2*y**2 Find the second derivative of -1517*d**2 + 1354*d. -3034 Find the second derivative of 22*l**2*r*z - 12*l**2*z - 2*l*r*z + 2*l*z + 147 wrt l. 44*r*z - 24*z Find the third derivative of -202*s**4 + 4*s**3 - 9*s**2 - 6*s wrt s. -4848*s + 24 What is the first derivative of -754*v + 924? -754 What is the first derivative of 1417*d + 1000? 1417 What is the third derivative of -6141*z**4 - 11*z**2 + 9*z + 17 wrt z? -147384*z What is the second derivative of d**3*x**2 - 4*d**2*x**2 + 481*d**2 - d + 254*x**2 + x wrt d? 6*d*x**2 - 8*x**2 + 962 What is the derivative of 23*n*q - 10*n + 88*q + 39 wrt q? 23*n + 88 What is the derivative of -k*t**2*w**2 - 4845*k*t - 21*k - t**2*w + 7*w**2 + 13*w wrt t? -2*k*t*w**2 - 4845*k - 2*t*w Differentiate t**2*u*w + 2*t**2*w + 4*t**2 + 157*t*u*w - 26*w - 6 wrt u. t**2*w + 157*t*w Find the second derivative of 6*d**2*h*p - 40*d**2*p - 2*d*h*p + 5*d*p - d - 3*h*p wrt d. 12*h*p - 80*p Find the third derivative of 6052*c**2*t**3 - 10666*c**2*t + c*t**2 wrt t. 36312*c**2 Differentiate -13*f**2*o - 13*f**2 - 10*f*o - 35 with respect to o. -13*f**2 - 10*f What is the third derivative of -782*d**3 - 2*d**2 + 194? -4692 What is the derivative of 14*c*f*h - c*f - 12*c*h + 223*c + 4*f**2*h + 8*f**2 + 1 wrt f? 14*c*h - c + 8*f*h + 16*f What is the derivative of 26*m*n**3*z + 2*m*r + 2*n**3*r - 5*n**3 - n*z + 58*r*z wrt r? 2*m + 2*n**3 + 58*z What is the second derivative of -4*n**4 - 2*n**3 - 10*n**2 - 237*n? -48*n**2 - 12*n - 20 What is the derivative of -17854*x**4 - 5081 wrt x? -71416*x**3 What is the third derivative of 4*q**5 - 26*q**4 - 244*q**2? 240*q**2 - 624*q What is the third derivative of 8034*q**3 - 8349*q**2 wrt q? 48204 Find the first derivative of 3*g**2*n + 2*g**2*o + 43*g*o**2 + 174*n*o**2 wrt n. 3*g**2 + 174*o**2 Find the second derivative of -29*d**2*q*x**2 - 12*d**2*q + d**2*x**2 - d*q*x - 4*d*x + d + 3*x**2 wrt d. -58*q*x**2 - 24*q + 2*x**2 Differentiate -9*m*n**3 - 9*m*n - 2*m*z - 168*n**3*z with respect to m. -9*n**3 - 9*n - 2*z What is the third derivative of -14*q**2*s**4 - 424*q**2*s - 8*q*s**4 - 2*q*s**2 wrt s? -336*q**2*s - 192*q*s Find the second derivative of -55*q**2 - 189*q + 1 wrt q. -110 Find the second derivative of -7*j**2 + 120*j - 1 wrt j. -14 Find the third derivative of -12*k**2*t**3 + 750*k**2*t**2 + 2*k*t**3 wrt t. -72*k**2 + 12*k Find the first derivative of 1584*z + 12380 wrt z. 1584 Find the second derivative of 2*p**4 - 5*p**3 + 138*p. 24*p**2 - 30*p What is the third derivative of -28*a**3*d**3 - 2*a**3*d**2 - 4*a**3*d*y**2 + 4*a**3*y**3 + 93*a**2*d**3*y**3 - 4*d**2*y wrt y? 24*a**3 + 558*a**2*d**3 Find the first derivative of -57*j - 62. -57 Find the second derivative of 2206*h**5 + 3*h + 28. 44120*h**3 What is the third derivative of 22*j**4*w*y**3 - 3*j**3*w*y - j**3*y**2 - j**2*w*y**2 + 2*j*w*y + 2*j*y**3 wrt j? 528*j*w*y**3 - 18*w*y - 6*y**2 Find the first derivative of -100*r + 85 wrt r. -100 Find the third derivative of -13*i**3*m**3*v - 2*i**3*m - 13*i**3*v + 16*i**2*m**3 - 2*i**2 - 2*i*m*v - 25*m*v wrt i. -78*m**3*v - 12*m - 78*v What is the second derivative of d**4*i + 38*d**3*i**2 - 3*d**3 - 9*d*i**2 + 10 wrt d? 12*d**2*i + 228*d*i**2 - 18*d What is the second derivative of -o*q**3 + 3*o - 12*q**2 + 20*q - 1 wrt q? -6*o*q - 24 What is the third derivative of a**2*r**2*t + 2*a**
{ "pile_set_name": "DM Mathematics" }
e k and p unequal? True Let m = -30 - -31. Is 491 bigger than m? True Suppose 0 = -4*k - k + j + 35, 3*j = 5*k - 25. Suppose x + 2*p - k = 0, -3*x - 2 = -2*p - 18. Which is smaller: 5 or x? 5 Let s be -12*((-261)/27 + 10). Which is smaller: 2 or s? s Let n = 56 + -49. Suppose -2*d + n*y - 4*y + 65 = 0, 4*d - 95 = -y. Is d < 3? False Suppose 5*v - 2*s = 213, -s + 7 = 11. Do 30 and v have different values? True Let h = 25/17 - 309/187. Let g = -16 - -9. Let w = g + 6.7. Is w at most h? True Let m(p) = -p + 1. Let t be m(1). Suppose -25*y + 10*y - 930 = t. Do 0.2 and y have different values? True Let n(o) = 6*o + 204. Let x be n(-36). Do -10 and x have the same value? False Let f(a) be the first derivative of a**3/3 - 4*a**2 + 12*a - 6. Let u be f(6). Let h be 6/(-15)*5/1. Which is greater: h or u? u Let f = 68.9424 - -0.0576. Which is bigger: f or -2? f Let u(k) = -k. Let g(s) = -5*s + 7. Let f(i) = g(i) - 6*u(i). Suppose -2*m - 27 = -0*x + 3*x, -x = m + 12. Let y be f(m). Is y at most -2? True Let c be (-6)/(-75) + (-1151)/(-300). Which is smaller: 3 or c? 3 Suppose -4*x - 52 = 4*s, -5*s - 25 = -0*s. Let b(n) be the third derivative of -n**5/60 - n**4/8 - 5*n**3/6 + 3*n**2. Let y be b(-4). Is x greater than y? True Let w = 15503/35 - -253/140. Which is bigger: w or 445? 445 Suppose -27*v = -23*v - 28. Suppose -v = 3*a - 16. Let n = 83/3 - 26. Which is smaller: n or a? n Suppose -13*f - 366 = 258. Let b be (f/(-40))/((-3)/15). Which is bigger: b or -28/5? -28/5 Let b be (5/50)/(63/(-615)). Let h = 10/21 + b. Which is smaller: h or 22? h Suppose 2*w = 3*w - 3. Suppose w*k = 6*k. Suppose -h - r = 2, -2*h + 5*r + 10 = -k*r. Is h bigger than 0? False Let l be (-8)/28 - (-83)/21. Let k be (-156)/(-2 - 11) + -9. Which is greater: k or l? l Suppose -10*p + 1505 = 235. Is p bigger than 128? False Let n = -9 + -83. Is -87 at least as big as n? True Let w = 1.4 + -2.4. Let l = -1 - w. Is -2/5 at least l? False Suppose 23*m - 10 = 21*m. Suppose m*o + 0*o = -40. Is o smaller than 2/5? True Let j be 16*1/(-4)*2. Let z = 1951 - 1959. Are j and z nonequal? False Let d(f) = -44*f + 31. Let g be d(0). Which is smaller: g or 28? 28 Suppose -f = -5*j + 40, 4*j + 4 = j - 5*f. Let y(d) = -1 + 5 - 6*d - 2*d + d**2 + 6. Let m be y(j). Which is smaller: m or 1? 1 Let x be (-10)/(-3) + (-6)/(-9). Let j = 14 - 12. Is j != x? True Suppose -2*p + 2 = 0, 39 = -4*w - 3*p - 98. Is w bigger than -32? False Suppose -x - 2*x = 4*w + 1, 0 = -4*x - w + 3. Which is smaller: x or 3? x Let p = 118 - 157. Which is smaller: -34 or p? p Let x(z) = 5*z + 19. Let b be x(-28). Let t = -117 - b. Is t > 4? False Suppose -2*l - 158 = -5*k, 5*l - 70 = -8*k + 5*k. Which is bigger: k or 31? 31 Suppose x + m = 61, -x - 5*m + 61 = -0*x. Suppose 0 = x*s - 66*s - 215. Is s not equal to -45? True Suppose 0*z - 2*z - 20 = 0. Which is greater: z or -68/7? -68/7 Let s = 60.095 - 0.095. Let p = -60.2 + s. Is p greater than or equal to 5/7? False Let x be (-300948)/(-9)*(-1)/6. Let t = x - -5567. Let h = t + 53/9. Does -2/5 = h? False Let q = 27/13 - 607/286. Is q less than -4? False Suppose o + 3 - 4 = 0. Suppose 0 = 3*f + 3*i + 87, -5*f + 5*i = 4*i + 127. Let q be (-21)/(-455) - 4/f. Is o greater than or equal to q? True Let m be (-3)/10*(-15024)/9. Let z = 499 - m. Which is greater: -3 or z? z Let y(w) = 2*w**2 - 6*w. Let v be y(3). Suppose 0*r + 5*r = v. Is 2/5 <= r? False Let r = -77 - -77. Let x = -74294 + 1039377/14. Let c = x - -105/2. Is c bigger than r? False Let q(c) = c**3 - 5*c**2 + 7*c - 4. Let r be q(3). Is r less than -1/113? True Let t = -415 + 415. Let y be (1/78)/((-4)/(-8)). Which is greater: t or y? y Suppose -5*h = -4*a - 2434, -6*h - 4*a + 1486 = -3*h. Is 492 < h? False Let r = -0.1 - -0.2. Let w = 0.07 + -3.23. Let f = -0.16 - w. Which is bigger: r or f? f Suppose 0*f = -f + 5. Suppose -f*v + 139 = -281. Let y be (-4)/3*14/v. Which is smaller: 0 or y? y Let c = 195 - 202. Which is bigger: c or -57/8? c Let y = 0.4 + 75.6. Let g = 76.19 - y. Which is smaller: -2/3 or g? -2/3 Let f = -15 + 13. Let w be f - ((-20)/2)/2. Suppose -4*g = -7*g + w. Which is greater: g or -1/8? g Let l be -1*((-1394)/(-2) + (-23 - -24)). Is -699 smaller than l? True Let a = 2 + -6. Let n = a - 0. Let f = 3/953 - 20028/4765. Is n bigger than f? True Suppose -7 = -l - 18. Let q be 1*l*(-4 + 1). Is q at least 33? True Let p be 0 + 4 + -1 + -1. Let x(b) = -b**3 - 4*b**2 + 2*b - 12. Let f be x(-5). Which is bigger: f or p? f Suppose 289 = 8*o - 159. Suppose -2*b + 3*r = -25,
{ "pile_set_name": "DM Mathematics" }
887969.4488. Let w = r + -700.56. Let h = w + 23. What is h rounded to three dps? -0.009 Let r = -0.15586611 + 0.165422. Let n = -22.99071411 - r. Let j = -23 - n. What is j rounded to 4 dps? 0.0003 Let i(j) = -36*j**2 + j - 18. Let q be i(-8). What is q rounded to the nearest one thousand? -2000 Let m = -1.62 - -0.32. Let x = 1.299982 + m. What is x rounded to 5 decimal places? -0.00002 Suppose 0 = 2*u - 1 - 5. Let p be ((-7)/(-14))/((-1)/(-10)). Suppose -3*x - 280 = p*r, 2*r + 262 = -u*x + 6*r. What is x rounded to the nearest 100? -100 Let i = 0 + 0. Let t(b) = -9375*b**3 + b**2 + 2*b - 8. Let k be t(-4). Suppose i = -o - 3*o - k. What is o rounded to the nearest 100000? -200000 Let n = 278664.38775724 - 278669.983. Let u = 0.4047573 - n. Let g = -6 + u. What is g rounded to 7 decimal places? 0.0000001 Suppose 1290694 = -13*k + 4891694. Round k to the nearest 10000. 280000 Let n = -22.6 + 27. Let r = 83.4 - n. Let b = -79.000033 + r. What is b rounded to five dps? -0.00003 Let c = -5.2 - -5.71. Round c to one dp. 0.5 Suppose -2*o = -515881 - 256597. Suppose 0 = 5*b - 4*q + 3999980, -b = -4*q + 413741 + o. What is b rounded to the nearest 100000? -800000 Let h(d) = 2813*d**3 - 2*d**2. Suppose -m = 4*m - 35. Let z = -3 + m. Let u be h(z). What is u rounded to the nearest 100000? 200000 Let s = -5970 + 3495. Let x = 6 - 12. Let i be (s/(-4))/(x/64000). Round i to the nearest one million. -7000000 Let y be (-2)/(21/(-15) + 1). Suppose y*n = 1479911 - 515586. Suppose -4*r - 431135 - n = 0. What is r rounded to the nearest ten thousand? -160000 Let k = 1 - 1. Let y(u) = 2*u**2 + 3*u. Let p be y(-2). Suppose k = s + v + 1702, -2*s = p*v + 3*v + 3410. Round s to the nearest 1000. -2000 Let g = 24957 + -24957.29942. Let i = -0.3 - g. Round i to 4 decimal places. -0.0006 Let i = 0 + -0.07. Let d = -2.6 - -1.87. Let p = d + i. What is p rounded to 1 decimal place? -0.8 Let t = -87.000108 - -87. What is t rounded to five dps? -0.00011 Let g = -199665 + 465178. Let w be (424002/(-5))/(4/(-100)). Suppose -o + l - 264492 - g = 0, -w = 4*o - 2*l. Round o to the nearest one hundred thousand. -500000 Let l(j) = j**2 - j - 3. Let x be l(3). Suppose -x*y + f = y + 290, -f + 2 = 0. Let c be y/5*3000/(-9). Round c to the nearest one thousand. 5000 Let t = -2.34 + 2.340293. Round t to 5 decimal places. 0.00029 Suppose 9 = 4*a - 15. Let t be (-2884)/a - 2/(-3). Round t to the nearest 100. -500 Let z(b) = b**2 - b + b**3 - 2 + 4 + 7. Let h be z(0). Let r be 1000/((h/(-150))/3). Round r to the nearest 100000. -100000 Let z = -571 - -571.00000527. What is z rounded to 6 decimal places? 0.000005 Let m = 0.8 - 3.8. Let y = 3.30061 + -0.30059. Let r = m + y. Round r to 5 decimal places. 0.00002 Suppose -2*u = 3*u + 5*h - 10, -5*u + 4*h - 35 = 0. Let b(m) = 60001*m**3 + 2*m**2 - 3*m. Let t be b(u). Round t to the nearest 100000. -1600000 Let f = -35 + 69. Let c = f + -33.973. What is c rounded to two decimal places? 0.03 Let o = -111.6 - -17.6. Let d = -94.71 - o. What is d rounded to 1 decimal place? -0.7 Let m = -0.0383 - 0.1827. Let i = -0.0934 - 0.1167. Let n = m - i. What is n rounded to 3 decimal places? -0.011 Suppose -12 - 6 = 3*t. Let p(y) = 2*y**2 + 5*y - 1. Let h be p(t). What is h rounded to the nearest 10? 40 Let d = -354.4 + 314. What is d rounded to zero decimal places? -40 Let i = 124.574903 + -121.0748. Let m = i + -3.5. What is m rounded to five dps? 0.0001 Let j = 3.6 - -1.1. Let h = j - 4.7000155. What is h rounded to six decimal places? -0.000016 Let b = -1.31566 - 193625.68434. Let i = b + 193643.0018. Let r = i - 16. Round r to three dps. 0.002 Let i = 216.131 - 216. Let d = 308.473937 + -308.343. Let r = d - i. Round r to five dps. -0.00006 Let h = -4835.369978 + 4835.77. Let k = h - 0.4. What is k rounded to 5 decimal places? 0.00002 Let c = 0.039298 + 23787.960702. Let v = c + -23800.993. Let r = v + 13. What is r rounded to two decimal places? 0.01 Let u = 77 + -77.31. What is u rounded to 1 dp? -0.3 Let n = -2.1288 + -114.9932. Let k = n + 117. Round k to 2 decimal places. -0.12 Let d = -40.34 - -40. Let w = d - -0.489. Let o = 0.096 - w. What is o rounded to two dps? -0.05 Let k = -3 + 2.991. Round k to 3 decimal places. -0.009 Suppose s + h - 5 = 4, 2*s - h - 9 = 0. Suppose 3*t + s = 2*t. Let p be t/27 + 224998/(-9). Round p to the nearest ten thousand. -30000 Let b be 6*1 - (-2 - -3). Suppose -b*d = -3*d - 6. Let w(s) = 4*s - 4. Let z be w(d). Round z to the nearest 10. 10 Let f = 78230.8227959 - 78301.8228. Let n = f - -71. What is n rounded to 6 decimal places? -0.000004 Let s be (3 - 4)/(1/(-120)). Suppose 3*t - t = -s. What is t rounded to the nearest 100? -100 Let g = 13720.92 - 1142558.92. Let m = g + 1128838.5000026. Let b = 0.5 - m. What is b rounded to 6 dps? -0.000003 Let n = -0.02 + -19.98. Let g = n - -20.00039. What is g rounded to four decimal places? 0.0004 Let l =
{ "pile_set_name": "DM Mathematics" }
? (a) -1 (b) x (c) 4 b Let q be -7 + (-2 - (-240)/27). What is the fourth smallest value in q, 0, -3, 9? 9 Suppose 3*l - 4*c + 170 = 0, l + 2*l + 5*c + 152 = 0. Let g be (-3)/1*(0 - 4/l). Let r be (1/4)/((-3)/6). What is the second biggest value in -0.09, g, r? g Suppose 8 = 4*v - 4. Let k be 2/(((-3)/4)/v). Let m be (6 + -5)/((-2)/k). Which is the third smallest value? (a) 2/19 (b) m (c) -5 b Let t = -0.82 + -0.48. What is the third smallest value in t, -0.3, 1, -5/4? -0.3 Let t be 2/(-5) + (-377)/145. Which is the biggest value? (a) 2/89 (b) t (c) 2 c Suppose 2*r - 23 = 3*s, s + 2*r = 7*r - 25. What is the biggest value in s, 31, 5? 31 Let r be (-96)/54 + (-6)/27. Suppose 1 + 8 = 3*f. Suppose f*z + 0*z = 15. What is the third biggest value in z, r, -1? r Let u = 0.6 + 2.5. Let l = -0.9 - u. What is the second smallest value in l, 5, -2? -2 Let f = 2 + -1. Let r = 384 - 388. Which is the second biggest value? (a) -1 (b) -0.3 (c) r (d) f b Suppose -5*j + 5*i - 24 = -3*j, -17 = j - 5*i. Suppose -2*a + 3*a = -4. What is the third biggest value in -0.3, j, a? j Let r = -0.05 + -4.35. Let h = 0.4 + r. What is the second biggest value in h, -2, 5? -2 Let f = 4.9924 - -0.0076. Which is the second biggest value? (a) f (b) -2/3 (c) 34 (d) 2/17 a Let j = 49034/3 + -16695. Let w = 14813/39 + j. Let f = -88/3 + w. What is the third smallest value in 2/5, 2, f? 2 Let q = -12.5 + 12. Let p = -0.9 - q. Let c = -0.015 - -2.015. What is the third biggest value in c, -4, p? -4 Let o = -0.1 - 3.9. Let p = 3 + -2. Let a = p - 2. What is the third smallest value in -1/6, o, a? -1/6 Let b = -25/28 - -8/7. Let o(w) = w**3 - 13*w**2 - 16*w + 31. Let f be o(14). What is the third smallest value in -3, f, b? f Let d = 0.067 - 0.167. Let k = 144/115 + -15/23. Which is the smallest value? (a) d (b) 1/7 (c) k a Let o = -0.05 + 0.15. Let p = -8 - -7. Let t be -1 - p - (-1)/3. What is the smallest value in o, 2, t? o Let v = -2.1 - -2. Let o be (1/15)/((-480)/(-1800)). Which is the third smallest value? (a) v (b) -3 (c) o c Let i = -1105 + 1108. Let c = -0.1 + -0.3. What is the third biggest value in i, c, 4? c Suppose 9 = -4*k - 3*y - 4, 0 = 4*k + 4*y + 16. Let d be (8 + 119/(-15))/((-4)/10). What is the fourth biggest value in k, 5, 3, d? k Let c = -1.9943 - 0.0057. Let m be 1/(-2) + 2/8. What is the second biggest value in -1, m, c? -1 Let v be 15*(-1)/(-6) + -3. Which is the biggest value? (a) -2 (b) 1 (c) v (d) 9 d Let r = -21 + 36. Suppose -b + r = -2*m + 4, 9 = -3*m. Let v be (-4)/(-3)*(-6 - -3). What is the biggest value in v, 2, b? b Let v = -196 - -193. Let y = -0.24 - -0.64. Let o = -2 - -1.5. Which is the smallest value? (a) v (b) y (c) o a Let w be 15/(-75)*3/(-3)*-3. Let s be (-5)/2*3/(-30). Let l = -0.2 + 0.6. What is the third biggest value in l, s, w? w Let s be 0 - 0 - -2 - 1. Let d be (596/(-120))/(s/11). Let z = -109/2 - d. What is the second biggest value in z, -2/3, 3? z Let m = 0.6 + -3.6. Let u be 1 + (-5)/(25/2). Let d be (-24)/(-16)*12/99. Which is the smallest value? (a) u (b) m (c) d b Let b = 6.44 + -1.44. What is the third smallest value in -0.08, b, 3? b Let j = -0.3 + 0.5. Let z = -19 + 32. Let o = z - 11. What is the third biggest value in j, 1/2, o? j Let t(i) = i**3 - 7*i**2 - 4*i - 7. Let u be t(8). Suppose -5*q = 5*n + u, 0 = -2*q - q + 2*n + 10. What is the second smallest value in -0.5, q, 3, 1/5? q Let a be ((-24)/(-21))/4 + 0. Let y = 499/110 + -3/22. What is the biggest value in y, -4, a? y Let h = -1/89 - -359/267. Which is the third smallest value? (a) 1/7 (b) h (c) 1 (d) 4 b Let f = -0.4 - -0.8. Let m = f + 0. Let j(l) = -2*l**3 - 35*l**2 + 37*l + 342. Let h be j(-18). Which is the second smallest value? (a) -2/9 (b) h (c) m b Let m = -44 - -10. Let r = m - -33.9. What is the third biggest value in 4, 1/6, r, -0.2? r Let f = 1995 + -2002. Let p = 14 + -10. What is the biggest value in -0.3, 0.2, f, p? p Let u = 354 - 354.5. What is the third biggest value in -9, -2/11, -1/8, u? u Let h = -1338 + 1338.1. Let i = 0.02 - 0.05. Let v be 1/(-10) - (-2)/4. Which is the second smallest value? (a) h (b) v (c) i a Let n = -44 - -43.98. What is the biggest value in -4, n, 11? 11 Let l = 229 - 216. Let p = -4 - -4.1. What is the third biggest value in p, -1, l? -1 Let j = 29 - 29. Suppose -3*f = 5*n + 2*f + 75, j = 2*n - 2*f + 14. Which is the third smallest value? (a) -2/3 (b) n (c) -0.3 c Let a = 557.73 - 560. Let v = 0.27 +
{ "pile_set_name": "DM Mathematics" }
ment from sssvssssvssss. Give prob of picking 1 v and 3 s. 6/13 Two letters picked without replacement from dvvddddddddd. What is prob of picking 1 v and 1 d? 10/33 Three letters picked without replacement from qzqqqqqxxzq. What is prob of picking 2 z and 1 x? 2/165 What is prob of picking 1 b and 3 e when four letters picked without replacement from {b: 6, e: 12}? 22/51 What is prob of picking 4 b when four letters picked without replacement from {t: 4, z: 2, s: 3, f: 1, b: 4}? 1/1001 Three letters picked without replacement from {q: 1, u: 8, t: 6}. Give prob of picking 1 u and 2 t. 24/91 Calculate prob of picking 1 f and 1 t when two letters picked without replacement from ftffffftffff. 10/33 What is prob of picking 1 g and 2 t when three letters picked without replacement from {t: 13, g: 6}? 156/323 What is prob of picking 2 f when two letters picked without replacement from ztftfttffzzt? 1/11 What is prob of picking 2 f and 1 i when three letters picked without replacement from fiiiifiifiii? 27/220 Three letters picked without replacement from nbanbaabaa. Give prob of picking 2 a and 1 b. 1/4 Calculate prob of picking 2 p and 2 e when four letters picked without replacement from eeipkekiekipe. 2/143 Three letters picked without replacement from pkpkpp. Give prob of picking 2 p and 1 k. 3/5 What is prob of picking 2 x and 1 j when three letters picked without replacement from cxujkjcxxcxxkxjc? 9/112 Three letters picked without replacement from {o: 7, d: 3}. Give prob of picking 1 o and 2 d. 7/40 What is prob of picking 3 z and 1 p when four letters picked without replacement from {p: 2, z: 6, i: 3, u: 1}? 8/99 Calculate prob of picking 4 v when four letters picked without replacement from {r: 2, v: 11}. 6/13 Calculate prob of picking 3 d when three letters picked without replacement from {a: 3, d: 9}. 21/55 Three letters picked without replacement from odsammmommomodmdd. Give prob of picking 1 a and 2 o. 3/340 What is prob of picking 2 l and 1 c when three letters picked without replacement from xltlecxpc? 1/42 Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {v: 2, y: 4, z: 2, b: 8}. 1/70 What is prob of picking 2 z and 1 t when three letters picked without replacement from tvzz? 1/4 Three letters picked without replacement from spjaaapjjj. What is prob of picking 1 s, 1 p, and 1 j? 1/15 Four letters picked without replacement from {z: 3, d: 13, y: 3}. What is prob of picking 2 z and 2 y? 3/1292 Calculate prob of picking 3 z when three letters picked without replacement from iszlizzzzzsz. 7/44 Two letters picked without replacement from {d: 1, r: 3, a: 5, z: 1}. What is prob of picking 2 a? 2/9 Four letters picked without replacement from mmmmzmmmmmmmvmmmmm. Give prob of picking 4 m. 91/153 Three letters picked without replacement from zzxlxzxfcfffxfxl. What is prob of picking 2 z and 1 f? 3/112 Calculate prob of picking 1 o and 1 f when two letters picked without replacement from oggvggggfogfg. 2/39 Calculate prob of picking 1 l, 1 k, and 1 m when three letters picked without replacement from lmkkkdkmkkklmdkkkd. 5/68 Three letters picked without replacement from {u: 7, w: 6}. Give prob of picking 2 u and 1 w. 63/143 What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 17, x: 2}? 34/171 Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {h: 7, g: 2, t: 9}. 3/272 Two letters picked without replacement from cncecccccccncc. Give prob of picking 2 n. 1/91 Two letters picked without replacement from {o: 2, l: 1, c: 1, i: 2, w: 1, y: 2}. Give prob of picking 1 l and 1 y. 1/18 Three letters picked without replacement from {l: 7, u: 3, q: 6, n: 1}. What is prob of picking 1 q and 2 l? 63/340 Two letters picked without replacement from {n: 12, u: 1, k: 2, v: 2, x: 3}. Give prob of picking 2 k. 1/190 What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 1, g: 2, n: 1}? 1/3 What is prob of picking 2 e when two letters picked without replacement from {e: 3, s: 1}? 1/2 Two letters picked without replacement from wfsfwfyfwlyseyl. Give prob of picking 1 s and 1 y. 2/35 Calculate prob of picking 1 r and 1 h when two letters picked without replacement from lhgslrrhb. 1/9 Four letters picked without replacement from {k: 10, o: 4}. What is prob of picking 3 o and 1 k? 40/1001 Four letters picked without replacement from {n: 4, q: 8, h: 3, u: 1, j: 1}. Give prob of picking 1 j and 3 n. 1/595 What is prob of picking 2 i and 1 d when three letters picked without replacement from iiiiiididdiiii? 165/364 Four letters picked without replacement from qbqqqqqqqqcqqqbbbcb. Give prob of picking 2 q and 2 b. 55/323 Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {w: 7, g: 6}. 63/143 Three letters picked without replacement from mmmmqmmmcqmmqmmmm. Give prob of picking 3 m. 143/340 What is prob of picking 4 f when four letters picked without replacement from {u: 4, c: 2, f: 7}? 7/143 Four letters picked without replacement from {c: 12, r: 3}. What is prob of picking 2 c and 2 r? 66/455 What is prob of picking 3 q and 1 g when four letters picked without replacement from {g: 4, d: 4, q: 6}? 80/1001 Two letters picked without replacement from {t: 3, q: 13}. Give prob of picking 2 t. 1/40 Three letters picked without replacement from {l: 1, k: 7}. Give prob of picking 1 l and 2 k. 3/8 Two letters picked without replacement from rtult. Give prob of picking 1 r and 1 t. 1/5 Four letters picked without replacement from jreqqqqgeqrr. Give prob of picking 1 g, 1 j, and 2 q. 2/99 Three letters picked without replacement from {y: 1, n: 1, u: 8, h: 6}. Give prob of picking 2 u and 1 h. 3/10 Four letters picked without replacement from {u: 1, k: 2, n: 4, w: 1, e: 1}. What is prob of picking 2 n and 2 k? 1/21 Two letters picked without replacement from hzohzoohohho. Give prob of picking 1 o and 1 h. 25/66 Two letters picked without replacement from ggoggggggo. What is prob of picking 1 o and 1 g? 16/45 Three letters picked without replacement from ppppxpppppppppppppp. What is prob of picking 2 p and 1 x? 3/19 Calculate prob of picking 2 k when two letters picked without replacement from {d: 5, k: 2, c: 8}. 1/105 What is prob of picking 3 t when three letters picked without replacement from {g: 1, z: 1, t: 1}? 0 Three letters picked without replacement from {f: 1, h: 8, e: 11}. Give prob of picking 1 e and 2 h. 77/285 Calculate prob of picking 1 b and 3 g when four letters picked without replacement from gvppvggbg. 2/63 Four letters picked without replacement from mmggqmgqqgqmmmgmm. What is prob of picking 1 q and 3 g? 2/119 Three letters picked without replacement from {k: 2, j: 3, p: 3, l: 9}. What
{ "pile_set_name": "DM Mathematics" }
s the biggest value in 0, c, a? a Let p = -7 + 3. Which is the second smallest value? (a) 1/4 (b) p (c) 0.3 a Let r = -0.5 - -0.1. Let i = 1/750 - -743/5250. What is the second smallest value in 5/4, i, r? i Let i = 1/28 + -67/308. Which is the biggest value? (a) -3 (b) 0.3 (c) -0.3 (d) i b Let l(h) = h**2 + 2*h + 1. Let s be l(-1). Let n be (11 - 2) + (s - 4). Let o = 2.2 + -2. Which is the third smallest value? (a) -0.3 (b) n (c) o b Let t = -0.9 + 0.6. Let y = 3 - 5. Let z = y - -6. What is the biggest value in -0.2, z, t? z Let t = -2.5 - -3. Let v = 0.3 - 0.1. Let r = 425/1176 + 2/147. What is the third smallest value in t, v, r? t Suppose 15 = a - 4*a. Let u = a + 9. Let z be (u/6)/((-14)/63). What is the second smallest value in 0.3, 2/11, z? 2/11 Let x = -15 - -20. Which is the biggest value? (a) 0.1 (b) x (c) -1 b Let k = -61 + 61. What is the fourth smallest value in 5, k, 0.3, -2? 5 Let s = -34968/5 + 5979943/855. Let x = -5/19 + s. Which is the second biggest value? (a) 1 (b) -1/3 (c) x c Let k be 3 - 3/((-120)/91). Let l = k + -39/8. What is the second biggest value in 1, l, -5? l Let m = -0.51 - -0.81. Let a = -5 + 8. What is the biggest value in m, 2/5, a? a Let d = 2 + 3. Let r = 1.1 + -0.1. Which is the third biggest value? (a) d (b) r (c) 0.1 c Let j = 0.14 - -5.86. Let h = -4 + j. Which is the second biggest value? (a) 0 (b) h (c) -0.1 a Let x = 46 + -45. What is the second smallest value in 3, x, 2/3, 0.3? 2/3 Let r = -2 + 0. Let m = r + 1. What is the third biggest value in 5/3, m, -4? -4 Let i = -0.136 - -5.136. Which is the third smallest value? (a) 3 (b) i (c) 43 c Let q be 34/12 + -6 + 3. Which is the smallest value? (a) q (b) 1/2 (c) -2/9 c Let k(z) = -1 - 4 + z + 4. Let t be k(-4). Let w = 4210/13 - 324. What is the smallest value in 0, t, w? t Let d = -0.12 + 0.32. Which is the third smallest value? (a) d (b) 3 (c) 0.03 b Let t = 65/76 + -2/19. Suppose 4*s + 180 = -4*d + 28, 0 = 4*s - 20. Let q = -218/5 - d. Which is the third biggest value? (a) t (b) -1/2 (c) q c Suppose -4*g = -5*b - 1, 2*b - 4 = g - 2. Let z = -5.5 + 6. What is the third smallest value in z, g, 2/3? g Let v be ((-16)/(-9))/(-8) - 0. Which is the third biggest value? (a) v (b) -1/11 (c) -6 c Let b = -0.5 + 0.1. What is the second biggest value in 2, -3, b? b Let v = -2.78 - -2.48. Let c = 1.3 - 0.3. Let z = 1.2 - c. What is the third biggest value in z, v, 5? v Let z be (9/3 + -5)*1. Let s be ((-3)/3)/(1/z). Let d = s + 1. Which is the second smallest value? (a) d (b) 3/8 (c) 2/19 b Let s = -1 - 1. Let j = s + 2.3. Which is the third biggest value? (a) j (b) -4/5 (c) 1/6 b Let p = 138 - 134.95. Let v = 0.05 - p. What is the second biggest value in -4, 3, v? v Suppose 3*q - 4*k = 2*q - 16, -5*k + 20 = -4*q. Let s = -0.3 - -1.3. Let c = s + -4. What is the smallest value in q, c, -2/9? c Let p = 54 + -37. Which is the smallest value? (a) 0.4 (b) 3 (c) p a Let f = 12.5 - 13. Let z = 0.7 - 0.8. What is the smallest value in z, f, 2/7? f Let k = 0.6 - 3.6. Let w = 1 + k. Let m = w - -1.6. Which is the second biggest value? (a) -1 (b) 0 (c) m c Let h = 0.1 - 0.9. Let n = 4.2 - h. Suppose 3*q = 5*c + 2 - 10, 2*q + c = -1. What is the second smallest value in n, q, -2? q Let m be (-4)/6*3/(-23). Let t = 0.204 + -0.104. Which is the third biggest value? (a) 0.3 (b) m (c) t b Let o = 8/1053 - -739118/11583. Let w = -64 + o. Which is the smallest value? (a) 3 (b) w (c) -2/7 c Let m = 0.06 + -0.09. What is the third smallest value in 0.4, m, 5? 5 Suppose u = 5*h + 23, 5*u + 5*h + 7 - 2 = 0. Let s = 75.8 - 76. Let w = 5.6 + -6. Which is the biggest value? (a) u (b) s (c) w a Let m = 6.31657 - 0.14357. Let i = 0.027 + m. Let d = i - 6. What is the third smallest value in d, -2/11, 0.5? 0.5 Let k = 11 - 12.1. Let v = -0.7 - k. Which is the second smallest value? (a) -0.1 (b) 4 (c) v c Let m = -10.9 - -7.9. Which is the second smallest value? (a) m (b) 1 (c) 2 b Let r = 23 - 20. Let z = -0.4 - -0.7. Which is the biggest value? (a) z (b) -0.4 (c) r c Let l be 2/4*(-40)/30. What is the smallest value in l, 5, 0.2? l Let n = 0.78 - 2.84. Let o = n + 0.06. Let r(v) = -v**2 + v - 3. Let u be r(2). Which is the biggest value? (a) o (b) u (c) 0.2 c Let f = -0.9 + -0.1. Let w = -3.4 - f. Let u = w + 2. Which is the biggest value? (a) u (b) 4 (c)
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) -277 (b) 0.01 (c) 5/2 (d) -2/5 b Which is the second biggest value? (a) -15 (b) 0.41658 (c) 3 b What is the biggest value in -39, 5, 2/5, -427? 5 Which is the fourth smallest value? (a) 2/27 (b) -2 (c) -5 (d) 20 (e) 2/25 e What is the biggest value in 4/5, 1/20, 49382, 0.3? 49382 What is the fifth biggest value in -0.3, -0.08, 3, -1, -62, -6/11? -1 What is the third biggest value in -67, -3, 0, 0.1? -3 What is the sixth smallest value in -1/4, 1.1, 1/12, -1/3, 0.3, -2/9? 1.1 What is the sixth biggest value in -5/4, 331, -0.3, 2/11, 1/2, -0.01? -5/4 Which is the smallest value? (a) 227.85 (b) 0.2 (c) -0.4 c Which is the second smallest value? (a) -2 (b) -677/2 (c) -4 c Which is the second biggest value? (a) -1/2 (b) 3 (c) -340100 (d) 1/6 (e) -2/17 d Which is the second biggest value? (a) -173 (b) -0.5 (c) -1/12 (d) 3 (e) 1/3 e Which is the third biggest value? (a) 0.5 (b) 0.2 (c) 2/7 (d) -3276 b What is the third smallest value in -1/5, 34/9, -1/114? 34/9 What is the second biggest value in 1, -5/3, -1310/9? -5/3 Which is the second biggest value? (a) -4 (b) 4 (c) 32/267 (d) -3/16 c Which is the sixth biggest value? (a) -0.07 (b) -7/11 (c) -2/39 (d) 1 (e) 2 (f) -1/9 b Which is the fourth smallest value? (a) 1 (b) 6 (c) 194.9 (d) -2/9 (e) -12 b Which is the third biggest value? (a) -1/12 (b) -0.47 (c) 2/21 b Which is the second smallest value? (a) 36.7 (b) 5 (c) -5 (d) -2/9 (e) 6/7 d What is the second biggest value in -239, -0.4, -16, -2/3? -2/3 What is the third biggest value in -0.3, -38, -0.2, 0, 48, -2? -0.2 What is the second smallest value in 0, -9, -0.4, -0.3, 3? -0.4 Which is the second smallest value? (a) 27/49 (b) 1158 (c) -1 a Which is the third biggest value? (a) -6/11 (b) -9/4 (c) 9 (d) -4/5 d Which is the fourth smallest value? (a) 0.4 (b) 0 (c) -5/6 (d) 1.084 d What is the smallest value in -0.12, 0.4, -1, 2/7, 1.24, 0? -1 Which is the third smallest value? (a) 69 (b) -1/2 (c) 4798 c Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 11 (d) -9 (e) -0.05 e Which is the biggest value? (a) -61/188 (b) -2/15 (c) 12 c What is the biggest value in -0.1294, 4, 10, 2/17, 3? 10 What is the third biggest value in 2, 0.1, -13/10, 27, -5, -1/5? 0.1 Which is the fourth biggest value? (a) -7 (b) -1/4 (c) 141/67 (d) 0.2 a Which is the second biggest value? (a) -0.08 (b) -1 (c) 3 (d) 3/2 (e) 241 (f) -31 c Which is the fifth biggest value? (a) 84 (b) 1 (c) 3 (d) 0 (e) 1/7 d Which is the smallest value? (a) -4/5 (b) 1/2 (c) 2 (d) 1151 (e) -5 e Which is the third biggest value? (a) -1/2 (b) 30 (c) 1 (d) 2/3 (e) -1/4 d What is the smallest value in 5, 1/5, -3.64, 4/9? -3.64 Which is the fourth smallest value? (a) -3/2 (b) -307 (c) -189 (d) -0.2 (e) 0.4 d What is the smallest value in -3, -308, -0.3? -308 What is the fifth smallest value in 4/7, 3685, 0.1, -12, -2, 2? 2 Which is the second biggest value? (a) -9 (b) 11/4 (c) -2/3 (d) 3/7 d Which is the fourth biggest value? (a) -2 (b) -0.3 (c) -4 (d) 1828 c What is the second smallest value in -3, 1, 1/3, 9, -56? -3 What is the smallest value in 2/7, -32.7, -124? -124 What is the fourth smallest value in 1, -0.1, -5, -2, 8, -1086? -0.1 What is the second smallest value in 23.203, -1, 20? 20 Which is the third biggest value? (a) -27/74 (b) 0 (c) -6 c What is the smallest value in -3, 0, 6222, -0.2? -3 What is the second biggest value in 100, -0.4, -1, -3/47? -3/47 Which is the fourth smallest value? (a) -2641 (b) 2/17 (c) 2 (d) -2 (e) 4 c Which is the second biggest value? (a) -2 (b) -14 (c) -1/5 a What is the fourth smallest value in -0.05, -0.2, -96, 0.1? 0.1 What is the third smallest value in -1/4, 2/21, 1/73, 482? 2/21 Which is the smallest value? (a) 78 (b) -4/3 (c) -210 c What is the biggest value in 126, -0.17, -5? 126 What is the fourth biggest value in -537, 5, 1.15, -5? -537 What is the biggest value in 3.8, -2/5, 0.3, -23, -3? 3.8 What is the second smallest value in 0, 3/7, 0.3, -0.0011, -10? -0.0011 Which is the third smallest value? (a) -0.5 (b) 63 (c) -2/3 (d) 11 (e) -5 (f) -229 c What is the smallest value in 1/676, 3, -0.3? -0.3 What is the fourth smallest value in -0.2, 0.33, 1/16, -3,
{ "pile_set_name": "DM Mathematics" }
/8 Calculate (2/(-10))/(1/2)*8200/(-80). 41 Evaluate ((-11)/(-220))/((-9)/36). -1/5 What is the value of 16/(-2)*373/373? -8 Evaluate (-96)/(-6)*1/12*-3. -4 Evaluate (48/576)/(2/((-144)/(-8))). 3/4 Calculate (-5)/(-20)*-87*(-172)/129. 29 What is the value of ((-2)/3)/(((-4)/11)/((-966)/161))? -11 What is the value of (74/19425*-6)/(12/14)? -2/75 Calculate (((-3)/((-3)/1))/(-4))/(863/75944). -22 What is (380/114)/(4/(-6))*4/(-20)? 1 What is ((-69)/(-3542)*44)/(30/(-56))? -8/5 Evaluate ((-16)/14)/(26/(3276/162)). -8/9 Calculate (104/(-38))/(31*134/(-39463)). 26 What is the value of (2/(8/12))/(29/(870/3645))? 2/81 What is the value of (261/290)/((-24)/(-16))? 3/5 Calculate (2/(-10))/(24/(-48)). 2/5 What is the value of (-828)/(-17250)*25/(-135)*3? -2/75 18/(-154)*(-3150)/675 6/11 What is the value of 2/2*((-8)/6)/(5190/519)? -2/15 Evaluate 50/(-7)*(-883)/4415. 10/7 What is (-10)/(-7)*1040/(-2600)? -4/7 What is the value of 18/(-5)*(-950)/285? 12 8/(-272)*17*-26 13 (6/75*1*5)/(448/(-3080)) -11/4 Evaluate ((-4)/16)/(11/8228*11). -17 Calculate ((-11)/((-187)/34))/((-2)/(-22))*1. 22 What is -4*5/5*-1*7/392? 1/14 What is (((-319)/(-5046))/11)/((-2)/(-8))? 2/87 (60/(-100))/(((-144)/210)/8) 7 Evaluate ((-16)/((-352)/33))/((-180)/(-16)). 2/15 What is ((-740)/1332)/(5/(-18))? 2 What is (6/(-9))/((-680)/(-306))? -3/10 Calculate (-459)/3*2/(-18). 17 ((-4)/((-3)/(18/60)))/((-14)/10) -2/7 What is (11/((-396)/(-9)))/((-4)/((-32)/26))? 1/13 Calculate (6*(-1)/36*27)/15. -3/10 (-3)/(-5)*(-35)/(-14)*(-172)/129 -2 Calculate ((-2)/(-6))/(((-17)/(-34))/(21/(-14))). -1 What is the value of ((-1812)/(-1510))/((-3)/30*(-18)/(-39))? -26 What is the value of (440/(-2288))/((-10)/16*2)? 2/13 Evaluate (-90)/(-105)*252/120. 9/5 Calculate 24/7*-1*(-3)/(60/70). 12 (400/(-1625))/(180/(-225)) 4/13 Calculate (5/(-9))/(3540/(-4248)). 2/3 What is the value of ((2/(-6))/(2/(-3)))/(4530/72480)? 8 Calculate (8/30)/(192/80). 1/9 Evaluate 172/(-344)*3/(6/(-28)). 7 What is (4*55/(-40))/((-3)/(-6)*-1)? 11 Calculate ((-1)/(-5))/((63/(-2625))/(9/(-15))). 5 2/(((-30)/5)/6) -2 What is the value of (((-10)/385)/((-8)/(-88)))/(2/(-91))? 13 What is 5*((-13832)/140)/38? -13 Calculate ((-1)/2*2)/(4*7/28). -1 (24/30)/((4352/(-40))/16) -2/17 Calculate (4/(-20))/(((-2057)/(-110))/(-11)). 2/17 Calculate (20*17/340)/((-7)/(35/5)). -1 What is ((72/(-9))/8)/((-6)/132*2)? 11 Calculate (24/(-9))/((-40)/(-300)). -20 (33/495)/(3/(-10))*-4 8/9 Evaluate -24*6/10*(-75)/(-135). -8 (-7*(-24)/12)/6 7/3 What is the value of (-10)/(((-1)/(-30)*-3)/((-2)/10))? -20 Evaluate (-6)/(-45)*126/(-28). -3/5 (-1)/(((-6)/2)/6*(-119)/(-85)) 10/7 Evaluate (((-704)/48)/(-22))/((-3)/(9/2)). -1 What is the value of 4/(-6292)*-22*-11? -2/13 ((-21)/(-105))/(2/14*(-126)/(-36)) 2/5 What is the value of (-340)/(-9928)*4*(-7)/35? -2/73 Evaluate ((-5)/(-3))/(((-4375)/225)/(-35)). 3 Evaluate (-10)/(-70)*7*(-64)/(-8)*-2. -16 Evaluate 10*(32/(-16))/(-2*5). 2 Evaluate ((-6)/(-32))/(879/(-586)). -1/8 What is ((-16)/72)/((-28)/(-882))? -7 What is the value of -2*((-21)/(-56))/(51/(-1292))? 19 What is 10*8/144*6*18/(-5)? -12 What is the value of ((-8)/18)/((-1780)/15*18/108)? 2/89 Evaluate ((-2)/(-12))/((-490)/(-315)*18/(-21)). -1/8 Calculate 5/(((-23925)/10)/(-33)). 2/29 Calculate (-56)/4*174/203*1/(-3). 4 What is the value of (-23)/(-92)*4*2/34? 1/17 Calculate -2*21/(1806/559). -13 ((-51)/((-765)/(-12)))/(14/10) -4/7 -3*4/30*(-675)/(-540) -1/2 2*-1*22/(-132)*(-21)/(-1) 7 What is 4*23/((-345)/20)*(-492)/(-64)? -41 Calculate (((-12)/2)/(15/2))/(2/30). -12 Calculate 682/(-44)*(-112)/248. 7 Calculate 524/(-262)*(-2)/10*2*-2. -8/5 What is the value of 6/39*(-31)/(1023/(-33))? 2/13 (4/(-14))/(8/((-5824)/(-13))) -16 What is 3/2*((-23)/(-6))/(-23)? -1/4 What is (2/9)/(16/(-48)*2)*9? -3 Evaluate (((-243)/6)/(-9))/(((-450)/(-12))/25). 3 What is ((1/1)/4)/((-505)/(-14140))*2? 14 Calculate 75/(-15)*8/(80/(-6)). 3 Calculate (48/(-928))/((-7)/(112/(-12))). -2/29 Evaluate (((-1092)/(-18))/(-26))/((-1)/6*2). 7 Calculate ((-5)/15*0)/1. 0 Calculate -15*(6/8)/((-120)/(-96)). -9 ((-132)/(-99))/(((-6)/45)/(-1)) 10 What is (-234)/(-450)*5*10/(-2)? -13 Evaluate 44*(11/(88/6))/3. 11 Calculate 5*8*(-6)/30. -8 What is the value of ((64/(-24))/(4/(-3)))/((-4)/6)? -3 What is 19/(7524/(-55))*(-3)/(-5)? -1/12 What is 4/(((-840)/(-45))/(-14))? -3 What is the value of ((-41)/2091)/(12/36)? -1/17 10*1*921/(-26095) -6/17 Evaluate 1/(((-279)/(-62))/((-6)/(-16))). 1/12 What is 9/(((-861)/(-287))/((-3)/(2/2)))? -9 What is the value of 79/(-79)*(-1)/(-2)? -1/2 9/2*648/729 4 Evaluate ((-114)/(-95))/(108/(-80)). -8/9 What is 2547/3396*32/2? 12 What is (75/800*-40)/(1/(-8)*3)? 10 What is the value of
{ "pile_set_name": "DM Mathematics" }
4. Suppose -196*t = -193*t - v. Round t to the nearest ten thousand. 730000 Let z = 30898.9999938116 + -30899. What is z rounded to 7 dps? -0.0000062 Let y = 2.4 - 2.426. Let o = 0.994 - y. Let i = 1.02000292 - o. Round i to seven decimal places. 0.0000029 Let k = -61.21 + 61.21000017525. What is k rounded to seven dps? 0.0000002 Let q = 9.95 + -1.25. Let y = -166.08 + 175. Let z = y - q. What is z rounded to one dp? 0.2 Suppose 156*v - 161*v = 25, 3*s + 19112 = -4*v. What is s rounded to the nearest 100? -6400 Let l(q) = -358*q**3 - 4*q**2 + 30*q - 20. Let k be l(4). What is k rounded to the nearest one hundred? -22900 Let r be (-4 + 1 - -15) + 3/3. Let g(l) = -l**3 + 14*l**2 - 14*l + 13. Let x be g(r). Let o be ((3 - x) + 0)*8350/15. Round o to the nearest 100. 1700 Let t = 0.5 + -0.37. Let l = 0.1 - t. Let g = l + 0.02985. Round g to five dps. -0.00015 Let d = 8468 - 8467.1745. Round d to 2 dps. 0.83 Let q = 8177.34 + -8112. Let z = q - 77. Round z to zero decimal places. -12 Let f(b) = -6*b - 38. Let a(x) = x**2 + 9*x + 1. Let o be a(-8). Let u be f(o). Suppose -5*t + u = k - 20, 3*t = 2*k + 17. Round t to the nearest integer. 5 Let d = 47893.6 - 40566. Round d to the nearest 1000. 7000 Suppose 0 = -7*x + 31*x - 1127424000. What is x rounded to the nearest one hundred thousand? 47000000 Let i = -4196.99999689 + 4197. Round i to 5 decimal places. 0 Let u(f) = -13 + 8 - 6 - 10167502*f + 19. Let i be u(4). What is i rounded to the nearest 1000000? -41000000 Let b = 26970 - 26970.67071. What is b rounded to 1 decimal place? -0.7 Let g = 3043 + 6571. Let x = g - 27974. Round x to the nearest one thousand. -18000 Let h = -2.2 + 2.097. Let g = 0.01422 + -0.01122. Let j = h - g. Round j to two decimal places. -0.11 Let d(n) = -n**2 + 3*n + 12. Let a be d(5). Suppose 0*m - a*m + k - 63 = 0, 0 = m + k + 39. Let p be (m/3)/(6/9). What is p rounded to the nearest 10? -20 Suppose -134*x + 385856900 = -13*x. What is x rounded to the nearest ten thousand? 3190000 Suppose 12*b + 230 = 17*b. Let a = -55 + b. Let y be -2 + -1217 - a/(-9). What is y rounded to the nearest one hundred? -1200 Let c = -475 + 880. Let h = 404.99636 - c. What is h rounded to 3 decimal places? -0.004 Let o = 1.5332 - 1.5331969061. Round o to 6 dps. 0.000003 Let u = -60427 - -60427.000028891. What is u rounded to six decimal places? 0.000029 Let a = -26993 + 8585. Let t = 18409.8013 + a. Let s = -1.8 + t. Round s to 3 dps. 0.001 Let s = -160 + 166. Suppose 0 = s*h - 210954 - 242046. Round h to the nearest ten thousand. 80000 Let h = -3209346.721 + 3208058.720431. Let i = h + 1288. Round i to four decimal places. -0.0006 Let w(d) = -15*d - 20. Let p be w(-10). Suppose -14*f = -4*f - p. Suppose -f*m + 4800000 = -8*m. What is m rounded to the nearest 100000? 1000000 Let z = 85.24 - -0.96. Let d = z + -64. Round d to zero decimal places. 22 Let c = 34.987 - -0.013. Let k = -36778483 + 36778447.9999522. Let p = c + k. What is p rounded to 6 dps? -0.000048 Let k = 0.789 - 420.789. Let j = 420.0594 + k. What is j rounded to three dps? 0.059 Let n = 308.209 + -308. Let d = 0.21716 - n. Round d to four decimal places. 0.0082 Let l(k) = -5*k - 11. Let v be l(-16). Suppose 60 = 6*w - 2*w - h, 0 = 4*w - 4*h - 72. Let p = v - w. What is p rounded to the nearest 10? 60 Let w = -0.9561 - -0.9531604. What is w rounded to four decimal places? -0.0029 Let n(u) = -1566*u - 3. Let y = -62 - -55. Let q be n(y). Let f = q + -19759. What is f rounded to the nearest one thousand? -9000 Let d = 10.5 + -10.5194. Let h = -0.01354 - d. What is h rounded to 3 decimal places? 0.006 Let k = -375 - -353.664. Let g = k + 0.136. What is g rounded to the nearest ten? -20 Let l = 8563.99932408 + -8564. Round l to four dps. -0.0007 Let p = -235653.9 - -260446. Let q = p - 23790. Let d = -958 + q. Round d to zero decimal places. 44 Let h = 34.76 - -791.3. What is h rounded to the nearest 100? 800 Let m = 117 - 111. Let r be ((-419)/2)/(1*m/(-12)). Suppose 0 = 3*f + 2*i - 359, -4*f = -5*i - r - 75. What is f rounded to the nearest 10? 120 Let l = 26372.2 - 26813.977. Let j = -437 - l. Round j to one decimal place. 4.8 Let j = -866232845 - -866232928.0000898. Let c = j + -83. What is c rounded to 5 decimal places? 0.00009 Let x = -207138.32967 + 207137. Round x to 2 decimal places. -1.33 Let y = 46543.2 + -46484.4326. Let l = y + -58.9. What is l rounded to 2 dps? -0.13 Let a(t) = -t**2 + t + 1. Let i(w) = 2*w**3 + 26*w**2 + 32*w - 52. Let u(b) = -2*a(b) - i(b). Let q be u(-25). Round q to the nearest 100. 17200 Let t be ((-2 - -32) + -4)/(1 + 1). Suppose q + 5*p = t, -q + 2*p = -4 + 12. Let i be 921*q*3/(-18). Round i to the nearest 100. 300 Let h = 0.0912 + 0.0438. Let i = -152.7 + 152.5342. Let y = h + i. Round y to 3 dps. -0.031 Let n = 1.0230998 - 0.0228718. Let y = n + -1. Round y to five dps. 0.00023 Let l = 417330979 - 189490979. What is l rounded to the nearest 1000000? 228000000 Let x = -5819 - -5819.
{ "pile_set_name": "DM Mathematics" }
qrt(7) + sqrt(7) + -1 + sqrt(7) + 4)*-2*-1. -6*sqrt(7) - 6 Simplify 1 + ((sqrt(88) + sqrt(88) + sqrt(88)*-3 + sqrt(88) + sqrt(88) + sqrt(88))*-3)/(-3*sqrt(288)). 1 + sqrt(11)/3 Simplify 5 + 3*(-3*sqrt(300) + sqrt(300) - (sqrt(3) + sqrt(2700))). -153*sqrt(3) + 5 Simplify (sqrt(51)/(sqrt(363) + sqrt(363)*-1 - sqrt(363)) + -3 + sqrt(17) + -1 + 3)**2. -20*sqrt(17)/11 + 1821/121 Simplify ((sqrt(33)*1*-5 - sqrt(33))/(5*(sqrt(3) + sqrt(9)/sqrt(3) + sqrt(3)))*1)**2*-3. -132/25 Simplify (sqrt(84) + -3*sqrt(84)*-5 + sqrt(84))/sqrt(12) - (sqrt(84)/(sqrt(24)/sqrt(50)))**2. -175 + 17*sqrt(7) Simplify (sqrt(10)/(5*sqrt(4)/sqrt(2)))**2 + ((-1 + sqrt(80))*6)**2. -288*sqrt(5) + 14581/5 Simplify -5*((4*sqrt(20)/(sqrt(16)/sqrt(4)) - (sqrt(5) + sqrt(10)/sqrt(2) + 3 + -2)) + 5). -10*sqrt(5) - 20 Simplify -4*(sqrt(80)*-6 - (sqrt(20)/sqrt(4))**2*6) + -3. 117 + 96*sqrt(5) Simplify -2*((sqrt(1584) - (sqrt(1584) + 1))**2 + -4 - (3 + -1 + sqrt(1331))**2). 88*sqrt(11) + 2676 Simplify -2*(5*(2 + sqrt(432)) + sqrt(432) + (-1 + sqrt(432))*-1 + sqrt(432) + -5). -144*sqrt(3) - 12 Simplify (5 + ((5 + sqrt(1700) + -2 - sqrt(1700)) + -3*sqrt(1700)*1)*4)**2. -4080*sqrt(17) + 245089 Simplify (2 + 2*-1*sqrt(275) + 5)**2. -140*sqrt(11) + 1149 Simplify -3 + sqrt(605) + 2 + sqrt(25)/sqrt(5)*5 + ((sqrt(225)/sqrt(5))/sqrt(9) + sqrt(60)/sqrt(3))**2. 16*sqrt(5) + 44 Simplify ((sqrt(468) + 2)*-2)**2 + 4 + (-4*(5 + 1 + sqrt(468)))**2. 1248*sqrt(13) + 9956 Simplify ((sqrt(4400) + -1)*-5 + sqrt(132)/(sqrt(3) + ((sqrt(21)*-2)/sqrt(7) - sqrt(3))))**2. -1010*sqrt(11) + 112236 Simplify ((4*sqrt(54))/sqrt(3))/(sqrt(24)/sqrt(4)*2). 2*sqrt(3) Simplify (-2 + sqrt(1700) - sqrt(1700))**2*5 - ((-2*sqrt(136))/sqrt(8) + -4)**2. -16*sqrt(17) - 64 Simplify ((sqrt(3) + -1*sqrt(3))*-1 + sqrt(3) - (1*sqrt(3) + 0)) + 5 + -4. 1 Simplify ((-1*sqrt(108)*3)/(sqrt(9)*-2*5*3))**2. 3/25 Simplify ((-5*sqrt(448))/sqrt(8))/(sqrt(16)/(sqrt(2)*-2)). 10*sqrt(7) Simplify (5*3*sqrt(80) - ((sqrt(240)*-2)/sqrt(6))/sqrt(8))**2. 19220 Simplify -1 + (-4*((sqrt(1539) - (-1 + sqrt(1539))) + 2 - sqrt(1539) - sqrt(1539)) + 3)**2. -1296*sqrt(19) + 98576 Simplify (2*(1 + sqrt(931)))**2 - sqrt(95)/(sqrt(5) + sqrt(90)/sqrt(2)). 223*sqrt(19)/4 + 3728 Simplify (4 + (1*sqrt(425) - sqrt(425) - sqrt(68)/(sqrt(12)/sqrt(3))) - ((sqrt(102)*-2)/sqrt(6) - sqrt(85)/(-2*sqrt(5))))**2. 4*sqrt(17) + 81/4 Simplify (-3 + (-1*-1*sqrt(1539) + sqrt(1539))*-5*-5)**2. -2700*sqrt(19) + 3847509 Simplify ((-3 + sqrt(243) + 0)**2 - (-1 + 2*sqrt(243))) + 4. -72*sqrt(3) + 257 Simplify (3 + (-1 + sqrt(1872) - sqrt(1872)) + -4 + (3 + 2 + sqrt(1872))*2)**2*-1. -7552 - 384*sqrt(13) Simplify (6*(sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91)*4))))/(sqrt(56)/(sqrt(56)/sqrt(7))). -18*sqrt(13) Simplify (-4*sqrt(1008) + 3 + -3)*-3*5. 720*sqrt(7) Simplify ((2*sqrt(198))/sqrt(11))/(-4*sqrt(27)/sqrt(3)). -sqrt(2)/2 Simplify (sqrt(110) - (sqrt(110) + 5*sqrt(110))*-1)/(1*sqrt(160)). 7*sqrt(11)/4 Simplify (sqrt(192) - (sqrt(192) + 1)**2) + -2 - (((sqrt(54) + sqrt(54)*2)/sqrt(9))/(sqrt(2) + sqrt(20)/sqrt(40)))**2. -207 - 8*sqrt(3) Simplify (1 + 0 + (sqrt(3) - (4*sqrt(3) - sqrt(3))*2) + -3)**2. 20*sqrt(3) + 79 Simplify -1*(-6*sqrt(351)/sqrt(3) + (sqrt(13) - (sqrt(208) + sqrt(13) + -1))**2*-1). 10*sqrt(13) + 209 Simplify (sqrt(130)*2*-3 + sqrt(130) + (sqrt(130) - (sqrt(130) + 4*(2*sqrt(130) + sqrt(130) + sqrt(130)))))/(((sqrt(60) - sqrt(960))*-4)/sqrt(6)). -7*sqrt(13)/4 Simplify 5 + (sqrt(2299)*2*-6 - (sqrt(2299)*4 + -2)**2)*-6. -264*sqrt(19) + 220733 Simplify -1 + sqrt(28) + 0 - ((sqrt(490) + sqrt(490)*-1)/sqrt(10))/sqrt(7). -1 + 2*sqrt(7) Simplify (1*((sqrt(637) - (0 + sqrt(637) + 0))*-4 - (sqrt(637) + (sqrt(637) - (sqrt(637) + sqrt(637) + (sqrt(637) - (sqrt(637) + -1))*-5) - sqrt(637)))*-2))**2. -280*sqrt(13) + 2648 Simplify (3 + (((sqrt(153) + 0)*3)**2 - (sqrt(153) + ((sqrt(153)*-4)**2 - sqrt(153)))*-6))*-3. -48204 Simplify (-4*(1 + sqrt(162) + 1) + 4 + -6*(sqrt(162) - 2*sqrt(162)))**2. -144*sqrt(2) + 664 Simplify -4*(-3 + sqrt(720) - sqrt(5)) - (2*2*sqrt(5) + 2*(sqrt(5) - (sqrt(5) + -2)))**2. -76*sqrt(5) - 84 Simplify ((sqrt(1400)*-2*-1)/(1*sqrt(7)*6 + 5*sqrt(14)/sqrt(2)))**2. 800/121 Simplify -4*-1*(((sqrt(275) - -2*sqrt(275))/sqrt(5))/sqrt(5) + (sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100)))*-6). 252*sqrt(11) Simplify (sqrt(320)*3 - (2 + 3*sqrt(5)) - (-2*(sqrt(5) + 2) - sqrt(60)/sqrt(432)))**2. 278*sqrt(5)/3 + 96749/36
{ "pile_set_name": "DM Mathematics" }
2)/40 - 6/(-5 + -1) and (-87)/(-20) - (-3)/6. 20 Let x be (-1)/(-2)*(-2)/(-1). Calculate the common denominator of ((-252)/10)/2 + 2 and -2*x - 189/12. 20 Let p be -1*(-2 + 0/(-1)). Suppose 0*g - p*g = -40. Calculate the common denominator of -143/6 and 1 - -2*(-34)/g. 30 Let x = -33759/8 + 4211. Let g = 38701/9 + -4308. What is the common denominator of x and g? 72 Suppose -8 = m - 3*m. Calculate the least common multiple of m*22*1/4 and 2. 22 Let o(i) = -i**2 - 13*i. What is the least common multiple of o(-8) and 8? 40 Let p = -5 + 13. Let v(d) = d**3 + 5*d**2 + 4*d + 6. Calculate the lowest common multiple of p and v(-2). 40 Let p = -1607/3 - -541. Let t = -197 + 303. What is the common denominator of p and (t/8)/((-5)/4)? 15 Let b = 121553/49260 + -3/3284. Find the common denominator of -73/6 and b. 30 What is the common denominator of (-497)/30 - (81/(-15) - -5) and -49/6? 6 Find the common denominator of -35/8 and 4/(-6) + 2303/336. 16 Let q(m) = 2*m**2 - 14*m - 3. Calculate the smallest common multiple of 1 and q(8). 13 Let j be (6/4)/((-4)/8). Find the common denominator of (-111)/j*(-3)/(-24) and -73/12. 24 Let q = 15266/3705 + 102/247. Find the common denominator of q and 59/6. 30 Suppose 2*q = 4*q - 14. What is the common denominator of 7/q + (-89)/2 and 75/8? 8 Let m = -22 - -15. Let h = m + 18. Suppose 4*k - 10 = 2. What is the smallest common multiple of k and h? 33 Let l be 1 - (1 + (-20)/298). Let n = l - -5433/1192. Calculate the common denominator of n and -16/7. 56 Suppose -3*c - 7*k = -3*k - 10, -k = 3*c - 7. What is the lowest common multiple of c and 6? 6 Let i be (-6158)/468 + (-3)/(-6). Let k = 101/13 + i. Let m = 44 - 83. What is the common denominator of m and k? 9 Suppose 5*g + 3*z - 4*z = -555, 0 = -z + 5. What is the common denominator of ((-178)/(-4))/(7/(21/(-27))) and 119/g + 6/15? 198 Find the common denominator of 67/55 and (46/(-3))/(80/(-24)). 55 Suppose 7*g = 11*g - 72. Calculate the lowest common multiple of g and 22. 198 Let p = -85015/18 + 4717. What is the common denominator of p and 57/20? 180 Suppose h = -2*h - 33399. Let l = -133519/12 - h. Calculate the common denominator of l and -117/14. 84 Let t(x) = -14*x - 6. Let v(b) = 9*b + 4. Suppose 3*c + 3 + 12 = 0. Let y(m) = c*t(m) - 8*v(m). Calculate the lowest common multiple of 2 and y(-5). 8 Let y(c) be the first derivative of -c**3/3 + 9*c**2/2 - 2*c + 2. Suppose -4*u + 21 = -43. Calculate the smallest common multiple of u and y(6). 16 Suppose 0 = 4*s - 2*x - 3*x - 10, -4*s = x + 2. Suppose 2*i = 2*f + 36, s = f - 3*f + 2. Let p = 29 - 24. Calculate the smallest common multiple of i and p. 95 Suppose 0 = 4*j + 3*w - 87, 3*j - 2*w = 2*w + 34. What is the smallest common multiple of j and 2? 18 Let y(v) = -v. Let t(q) = -q**2 - 38*q + 2. Calculate the lowest common multiple of t(-38) and y(-1). 2 Suppose 2*j = -4*j + 84. What is the lowest common multiple of j and 14? 14 Suppose 88*h - 14 = 87*h. What is the least common multiple of 14 and h? 14 Suppose 2*s = 3*s - 11. Suppose 3*n = k + 2, 6 = -7*n + 6*n + 2*k. Suppose -g = -n*g + s. What is the least common multiple of g and 5? 55 Let i = 7/6 - -143/60. What is the common denominator of i and -65/8? 40 Let g = -8 - -4. Find the common denominator of g - -12 - (-2)/6 and -5/2. 6 Let a(k) = -k + 4. Let p be a(5). Calculate the common denominator of 109/14 and (-182)/40 - 2/p. 140 Let i = 20 - -30. Calculate the smallest common multiple of 8 and i. 200 Let u = -10 + 6. Calculate the smallest common multiple of (u/(-14))/(2/28) and 6. 12 Let f = -3/9463 + -974587/321742. Find the common denominator of -95/8 and f. 136 Let x = -1548942/83 + 18660. Let g = 12295/1494 + x. Find the common denominator of 9/2 and g. 18 Suppose 5*b - 8 - 47 = 0. What is the lowest common multiple of 4/22 + -9*(-3)/33 and b? 11 Let a(t) = -3*t - 1. Suppose -148 = q - 149. Calculate the smallest common multiple of a(-4) and q. 11 Let z = -8 - -6. What is the common denominator of 9/z*1/(-12) and -5/9? 72 Let f = 1 - -10. Let m(c) = -8*c + 1. Let y be m(-2). Let d = y + -7. Calculate the least common multiple of d and f. 110 Let l = 3734 - 33658/9. Find the common denominator of 81/2 and l. 18 Suppose -5*x + 5*f + 30 + 40 = 0, x = -f + 10. What is the lowest common multiple of x and 6? 12 Suppose -9 = 5*f + 4*h - 115, -4*h - 48 = -2*f. Find the common denominator of -7/8 and f. 8 Let y = -85 + 87. Suppose -5*k - 4*w = -78, 4*k - 97 = -5*w - 31. Calculate the smallest common multiple of y and k. 14 Suppose -2*r = 5*p - 15, -40 = -4*p - 0*r + 4*r. Suppose 4*l = -n + 9, -p*n - 5 + 28 = -2*l. Calculate the smallest common multiple of 10 and n. 10 Let x(c) = -c**2 + 5*c - 2. Let f be x(4). Suppose 3*v + 19 = -2*h, 4*h - 2*h = -f*v - 24. Let q = h + 27. What is the smallest common multiple of q and 16? 80 Let d = -422/3 + 142. What is the common denominator of 0 + (-66)/20 + 0 and d? 30 Let o(z) = -2*z**3 - 6*z**2 + z - 7. Let a be o(-5). Suppose -4*n + a = -0*n. Let i(u) = u**2 + 14*u - 29. What is the least common multiple of i(-17) and n? 22 Let d(o) = -o + 8. Let r be d(6). Suppose 20 = -5*v, v - 4 = 4*g - 32. What is the smallest common multiple of (0 - r) + 25 + -1 and g? 66 Let v = 929
{ "pile_set_name": "DM Mathematics" }
86 a multiple of 234? True Does 485 divide 292451255? False Does 781 divide 292220731? False Is 88738030 a multiple of 5? True Is 621216 a multiple of 3? True Is 4473 a factor of 2054176047? True Is 1610 a factor of 100364180? True Does 959 divide 118899396? False Is 136 a factor of 109435972? False Does 953 divide 1198566956? False Is 140281263 a multiple of 33? False Is 11180691 a multiple of 3? True Does 8603 divide 5719425796? False Is 6240972 a multiple of 102? True Is 1561 a factor of 2024933883? True Does 9 divide 66742319? False Is 2 a factor of 31259179? False Is 56 a factor of 3603768? True Is 245555999 a multiple of 22? False Is 6400 a factor of 71462400? True Is 101654093 a multiple of 2? False Does 18 divide 80339598? True Is 417670110 a multiple of 1105? True Is 11805303 a multiple of 2960? False Does 1105 divide 11027974? False Is 1318497609 a multiple of 14421? True Does 362 divide 312893252? True Is 104 a factor of 1633617630? False Is 137 a factor of 62978626? True Does 34 divide 20434782? True Does 2277 divide 276670905? False Is 10 a factor of 138532330? True Does 13 divide 242726328? True Does 351 divide 876761847? True Is 225 a factor of 552876525? True Is 6 a factor of 425841983? False Is 5168246 a multiple of 227? False Does 2115 divide 1066598730? True Does 633 divide 6011857998? True Does 2197 divide 285287041? True Is 751518791 a multiple of 13? False Does 117 divide 4281625962? False Is 9 a factor of 198289881? True Is 116589706 a multiple of 91? False Is 178 a factor of 39449239? False Does 84 divide 11047932? True Does 1620 divide 130084380? True Is 20085156 a multiple of 84? True Is 61 a factor of 254615891? True Is 507278391 a multiple of 8? False Is 20 a factor of 58561930? False Is 294 a factor of 125701758? True Is 1310 a factor of 262449330? True Is 1245 a factor of 114525060? True Is 60 a factor of 316353868? False Is 135 a factor of 23155200? True Does 12 divide 168454692? True Does 9 divide 2743955? False Is 13 a factor of 551062239? True Does 516 divide 881909532? True Is 262592400 a multiple of 150? True Does 117 divide 821340? True Is 1203403465 a multiple of 10? False Does 341 divide 359596346? False Does 28 divide 22859823? False Is 2731529660 a multiple of 760? False Is 7 a factor of 88781142? False Is 18061072 a multiple of 68? True Is 20661006 a multiple of 6? True Is 610 a factor of 865109320? True Is 530 a factor of 157918800? True Is 41835749 a multiple of 2112? False Is 12 a factor of 608495460? True Is 1063654302 a multiple of 343? False Is 67 a factor of 880851171? False Is 1465283219 a multiple of 47? False Is 121 a factor of 115346821? False Does 241 divide 1150846095? True Is 23 a factor of 61988067? False Is 3019569 a multiple of 3? True Is 106201677 a multiple of 1153? True Is 844771716 a multiple of 159? False Is 271 a factor of 771466235? False Does 135 divide 22792185? True Is 34422882 a multiple of 5? False Is 643 a factor of 101559921? True Does 1819 divide 1663025661? False Does 63 divide 1026534638? False Does 13 divide 109812079? True Is 6 a factor of 27697518? True Is 335323637 a multiple of 13? False Is 4 a factor of 7180124? True Is 48 a factor of 69179980? False Is 7522 a factor of 1572481895? False Is 134645223 a multiple of 69? False Does 10 divide 149240324? False Is 58 a factor of 76250192? False Does 34 divide 2138150860? True Is 64458924 a multiple of 336? False Is 56 a factor of 1608911304? True Does 4631 divide 76040256? False Does 38 divide 65311389? False Is 140591400 a multiple of 5? True Does 29 divide 58545389? False Is 143 a factor of 66792132? False Is 104 a factor of 1568039? False Is 8 a factor of 656244460? False Is 164 a factor of 204570803? False Is 421694550 a multiple of 25? True Is 17 a factor of 11732734? False Is 8412844 a multiple of 7? False Does 1079 divide 12781144? False Is 287661037 a multiple of 2734? False Is 285312374 a multiple of 907? False Is 501961536 a multiple of 9? True Is 8877548 a multiple of 47? True Is 215003567 a multiple of 30? False Is 3366744 a multiple of 24? True Is 20 a factor of 13577220? True Does 12 divide 603985128? True Is 2528757 a multiple of 287? True Is 180 a factor of 190692443? False Is 664 a factor of 101372880? True Does 543 divide 41196177? False Is 420 a factor of 6945659? False Is 8722634 a multiple of 106? True Is 739 a factor of 35860694? False Is 519 a factor of 1025200941? True Does 1115 divide 2762827143? False Is 221356871 a multiple of 3? False Does 150 divide 1723260000? True Does 1353 divide 69372477? False Does 266 divide 142867163? False Is 49 a factor of 298015354? True Is 129 a factor of 19675077? False Is 146687101 a multiple of 17? True Does 120 divide 4851600? True Is 5 a factor of 27595101? False Does 249 divide 23619488? False Is 12994563 a multiple of 8? False Does 12 divide 2480744084? False Is 356494516 a multiple of 28? True Is 43811515 a multiple of 55? True Is 8 a factor of 23775056? True Is 2698092848 a multiple of 267? False Is 5445 a factor of 704212740? True Does 279 divide 167506462? False Does 1839 divide 93341626? False Is 84515076 a multiple of 81? True Is 80424276 a multiple of 1053? False Does 2429 divide 2524982062? False Is 676 a factor of 589888143? False Is 19214991 a multiple of 234? False Is 8365452 a multiple of 7? False Does 567 divide 30014145? True Is 696348321 a multiple of 37? False Is 962 a factor of 10777021? False Does 1587 divide 592953984? True Is 7011 a factor of 442169748? True Is 2787007536 a multiple of 16? True Is 68022412 a multiple of 1413? False Is 1713264846 a multiple of 361? True Is 255571951 a multiple of 193? True Is 102 a factor of 76757807? False Does 144 divide 139778552? False Does 3 divide 17961386? False Is 3148866 a multiple of 938?
{ "pile_set_name": "DM Mathematics" }
e 0/1 + 3*3. Suppose 5*f = q, -5*q + 6*f - f = 0. Let p(b) = -b**3 - 2*b**2 + 10. Let d be p(q). Solve g*y - d = 4*y for y. 2 Suppose 88 = h + 3*h. Let j = -18 + h. Suppose -t + 3*o = 6, -j*t + 8*o - 3 = 3*o. Solve -t*f + 20 = -8*f for f. -4 Let k(f) = 2*f**2 + 2*f + 1. Let t be k(-2). Solve -7*v = 3*v - t*v for v. 0 Suppose 3*k + 6*b = 11*b + 19, 2*k = 3*b + 12. Solve 0 = k*s - 77 + 68 for s. 3 Let n = 328 - 328. Solve -24 = -8*z - n*z for z. 3 Suppose w + 8 = 13. Solve -w*s + 21 = -12*s for s. -3 Let y(w) be the first derivative of -w**4/4 - 16*w**3/3 + w**2/2 + 18*w + 9. Let d be y(-16). Suppose d*n - 7 - 1 = 0. Solve n*s = s + 15 for s. 5 Let c be (0/(6/(-2)))/((-2)/2). Suppose -2*g = -w - 3, w + c*g - 32 = -5*g. Solve -w*s - 12 = -3*s for s. -3 Let z be 3/(-1) + 17/17 - -2. Solve 0 = 4*i - z + 8 for i. -2 Let y(c) = c**2 - 10*c + 6. Let i be y(8). Let l = -10 - i. Solve 2*w + 0*w = l for w. 0 Let y be (8/(-20) - 34/(-60))*18. Solve 16 = 11*v - y*v for v. 2 Let l be (87/27 - (-10)/(-45)) + 3. Suppose 108*v = 106*v + l. Solve -5*b - 18 = -v for b. -3 Suppose 25 = 5*x - 4*w, 4*x + 2*w + 15 = 7*x. Solve x*z = 75 - 85 for z. -2 Let i(n) = n**3 - 26*n**2 + 10*n - 171. Let r be i(26). Solve b - r = -94 for b. -5 Let j be 55 + 3/(-3) + -4. Let t be (-1*1)/((-10)/j). Solve -3*p - t = -2 for p. -1 Suppose -12 = x + 3*x + 4*w, 2*x - 9 = w. Let s = 26 + -23. Solve -x*d - s*d = -10 for d. 2 Suppose 135 = -64*v + 73*v. Solve 3*b + v = 6*b for b. 5 Let j(d) = -d + 5. Let k be j(5). Let l be 6 + 1 + -2 + (-12)/6. Let f be 8/l - 18/(-54). Solve 3*c - 6 + f = k for c. 1 Let t(w) = 2*w - 26. Let c be t(-13). Let b = c - -52. Solve 7*s - 3*s = b for s. 0 Suppose -4 + 0 = -2*a. Suppose -u = 2*z - 15, -z + 3*u = -0*u - 11. Solve -a*t = -0*t + z for t. -4 Suppose -5*x - 9 = -144. Suppose -4*z + 3*i + x = 0, -8*z + 6*z + 1 = i. Solve 0*j + z*j = 15 for j. 5 Let s(f) = 3*f + 4 - 382*f**2 + 387*f**2 + f**3 + 2*f. Suppose 5 = -5*u - 15. Let j be s(u). Solve 2*x - 2 + 0 = j for x. 1 Suppose -224 = -4*w - 2*f, 8 = 3*f + f. Solve u = 12*u - w for u. 5 Let y = 18 - 7. Let p be y - 5 - 6/(-2). Suppose 0 = 3*c - 4*m - 21, -6*c + c - 2*m + p = 0. Solve -t = -0*t + c for t. -3 Suppose -3*m + 2*y = -14, -5*y - 21 - 1 = -m. Solve 0 = m*n + 13 - 5 for n. -4 Suppose -6 = 3*o, 13 - 97 = -3*i + 3*o. Solve -4*h - i = -42 for h. 4 Let q(x) = -33*x + 139. Let v be q(4). Solve 0 = v*s + 46 - 18 for s. -4 Let w be (-1 + 2)*(48 + 1). Let u = -48 + w. Solve 2*p - 7 = u for p. 4 Suppose -3*z + 15 = 0, 4*o - z - 61 - 22 = 0. Suppose -5*m - 4*r = -o, -5*r + 7 = -m - 2*r. Solve m*d = 9 + 1 for d. 5 Suppose 0 = -5*b + 11*b - 30. Suppose -3*y = 4*y - 91. Solve -2 - y = -b*n for n. 3 Suppose 0 = -2*t - 5*v + 104, -v = 3*v. Let g = 56 - t. Solve 3 = g*c - 5*c for c. -3 Suppose -s - 5 = 3. Let q = 22 + s. Suppose -q*u + 12*u = -4. Solve j - 6 = -u for j. 4 Suppose -43*c + 39*c + 3*n + 10 = 0, -2*n - 12 = -4*c. Solve c*l + 3*l = -2*l for l. 0 Let c(j) be the first derivative of -j**4/4 + 7*j**3/3 + 3*j**2/2 - 16*j - 2. Let y be c(7). Solve -4 = t - y for t. 1 Let w(x) = 25*x - 1 - 23*x - 4*x**3 - x**2 + 0*x**2 + 5*x**3. Let u be w(1). Solve t + u = -3 for t. -4 Let x(p) = 25*p**3 - 2*p**2 - 2*p - 1. Let g be x(-1). Let j = 43 + g. Let i = j - 15. Solve i*a - 3 = -1 for a. 1 Let n(x) be the third derivative of -2*x**2 + 0 + 1/2*x**3 + 0*x - 5/24*x**4 + 1/60*x**5. Let f be n(5). Solve -f = -3*t + 12 for t. 5 Suppose 16*c = -59 + 123. Let p(u) = u**3 + 6*u**2 + 3*u + 8. Let g be p(-6). Let r be c - 9/((-45)/g). Solve -4*v + r - 18 = 0 for v. -4 Let d(x) = -x**3 - 3*x**2 + 2*x. Let r be d(-4). Suppose -k - 4*u = r, -3*k + 0*k = -5*u + 24. Let v = 2 - k. Solve -y + v = y for y. 5 Let h be 336/(-30) - 2/(-10). Let t = 16 + h. Suppose -t*v + 18 = -2*v. Solve 5*g - v = 3*g for g. 3 Let x = -174 - -289. Solve -109*u = -x*u + 6 for u. 1 Let o be (1 - 14)*(-1)/(-1). Let q = o + 26. Suppose -20*z + 35 = -45. Solve -z*w + q = 1 for w. 3 Suppose 0 = -10*o + 5*o. Suppose -2*u + 2*m = -14
{ "pile_set_name": "DM Mathematics" }
of 864318 and 819? 273 Calculate the greatest common divisor of 68233 and 11. 11 Calculate the greatest common divisor of 83 and 655534. 83 What is the greatest common factor of 5786 and 461302? 526 What is the greatest common factor of 91020 and 10988? 164 What is the greatest common divisor of 2162 and 54? 2 Calculate the greatest common factor of 1053 and 767. 13 Calculate the highest common divisor of 2806 and 3294. 122 Calculate the highest common divisor of 476 and 10892. 28 Calculate the greatest common factor of 338272 and 66. 22 What is the greatest common factor of 477 and 23267? 53 What is the greatest common divisor of 2360 and 107970? 590 Calculate the highest common factor of 15980 and 765. 85 Calculate the greatest common divisor of 59 and 107203. 59 What is the highest common factor of 120835 and 495? 55 What is the greatest common divisor of 1905 and 135? 15 Calculate the greatest common factor of 413 and 406451. 59 What is the highest common factor of 52 and 312572? 52 What is the greatest common divisor of 24 and 859056? 24 Calculate the greatest common factor of 4765 and 65. 5 Calculate the highest common divisor of 3506448 and 696. 696 Calculate the highest common divisor of 15 and 84585. 15 Calculate the greatest common factor of 448 and 189. 7 What is the highest common divisor of 215 and 172215? 215 What is the greatest common factor of 554 and 89? 1 Calculate the highest common factor of 264 and 580008. 264 What is the greatest common factor of 3056 and 333486? 382 What is the highest common factor of 10 and 923035? 5 What is the greatest common factor of 16909 and 185? 37 What is the greatest common factor of 350 and 10920? 70 What is the highest common factor of 314 and 186202? 314 What is the greatest common divisor of 124808 and 12? 4 What is the greatest common divisor of 416 and 59124? 52 Calculate the highest common factor of 204872 and 424. 8 What is the greatest common factor of 9456 and 39? 3 What is the greatest common factor of 874 and 1472? 46 What is the highest common divisor of 35 and 33845? 35 What is the highest common factor of 4130669 and 2458? 1229 What is the greatest common factor of 6108 and 420? 12 Calculate the greatest common factor of 117513 and 1584. 99 Calculate the greatest common factor of 45278 and 4. 2 Calculate the greatest common factor of 13199 and 394. 197 Calculate the highest common factor of 20778 and 9. 3 Calculate the greatest common factor of 955739 and 419. 419 Calculate the greatest common divisor of 38913 and 48832. 763 Calculate the greatest common factor of 2060 and 2760. 20 What is the highest common divisor of 52256 and 5254? 142 What is the greatest common factor of 84224 and 9268? 28 Calculate the highest common factor of 491257 and 3565. 713 What is the highest common factor of 967 and 1358? 1 Calculate the greatest common factor of 46433 and 36989. 787 Calculate the greatest common divisor of 180 and 88170. 30 Calculate the highest common factor of 2880 and 29880. 360 Calculate the highest common divisor of 4818230 and 265. 265 Calculate the greatest common divisor of 5143 and 29607. 139 Calculate the highest common divisor of 2699494 and 203. 203 Calculate the greatest common divisor of 767221 and 819. 91 What is the greatest common divisor of 66 and 9141? 33 What is the highest common factor of 18704 and 896? 112 Calculate the highest common factor of 136 and 53414. 34 What is the highest common divisor of 266065 and 381? 127 Calculate the highest common divisor of 151268 and 130. 26 What is the highest common divisor of 68625 and 1830? 915 Calculate the highest common divisor of 21 and 180189. 3 Calculate the greatest common divisor of 312 and 5739942. 78 Calculate the greatest common divisor of 13224 and 1368. 456 What is the highest common divisor of 168465 and 330? 165 What is the greatest common divisor of 152 and 77501? 19 Calculate the greatest common factor of 10668 and 84. 84 Calculate the greatest common factor of 1290 and 115326. 258 Calculate the greatest common factor of 438 and 2448. 6 Calculate the greatest common divisor of 9 and 298719. 9 What is the highest common divisor of 19906 and 2553? 37 What is the highest common factor of 7747 and 122? 61 Calculate the greatest common divisor of 98 and 492695. 49 What is the greatest common divisor of 142688 and 56? 56 What is the highest common divisor of 1397 and 4699? 127 What is the greatest common factor of 3245 and 3685? 55 What is the highest common divisor of 332775 and 13005? 765 Calculate the highest common factor of 169749 and 135. 27 Calculate the highest common divisor of 24864 and 192. 96 Calculate the greatest common divisor of 2303 and 103823. 47 Calculate the highest common divisor of 10 and 1408. 2 What is the highest common factor of 74979 and 405? 27 What is the highest common divisor of 1263 and 291332? 421 What is the highest common factor of 6 and 29187? 3 Calculate the highest common factor of 828 and 930258. 414 What is the greatest common factor of 925 and 2664? 37 What is the greatest common divisor of 182 and 2170? 14 Calculate the greatest common factor of 12 and 975174. 6 What is the highest common factor of 9610884 and 684? 684 What is the highest common factor of 66 and 1754720? 22 Calculate the greatest common divisor of 1043 and 42. 7 Calculate the greatest common divisor of 588328 and 104. 104 Calculate the greatest common divisor of 13453 and 99. 11 Calculate the greatest common factor of 105 and 12278. 7 What is the highest common divisor of 192685 and 445? 445 What is the highest common factor of 70664 and 12221? 121 What is the greatest common factor of 4221 and 879? 3 What is the greatest common factor of 68634 and 6138? 558 What is the highest common factor of 40168 and 8? 8 What is the highest common divisor of 1066 and 10250? 82 What is the greatest common divisor of 165 and 29997? 33 What is the greatest common divisor of 329157 and 9? 9 What is the greatest common divisor of 3549 and 3003? 273 Calculate the highest common factor of 1143 and 3556. 127 Calculate the greatest common divisor of 1587 and 3657. 69 Calculate the greatest common divisor of 4470 and 690. 30 What is the greatest common factor of 14 and 16142? 14 Calculate the greatest common divisor of 75638 and 118. 118 Calculate the highest common divisor of 130318 and 184. 46 What is the highest common divisor of 307026 and 740? 74 What is the highest common factor of 317 and 16484? 317 What is the greatest common divisor of 46107 and 20727? 423 Calculate the greatest common divisor of 32 and 6376. 8 What is the highest common divisor of 229448 and 174? 58 Calculate the highest common factor of 2 and 153252. 2 Calculate the greatest common divisor of 49275 and 108. 27 What is the greatest common divisor of 2394 and 246240? 342 Calculate the highest common factor of 611 and 996400. 47 Calculate the highest common factor of 11840 and 1560. 40 What is the greatest common divisor of 156 and 3783? 39 What is the greatest common divisor of 1116542 and 2768? 346 What is the greatest common divisor of 284513 and 107? 107 Calculate the highest common factor of 38799 and 26345. 479 What is the greatest common factor of 494235 and 735? 105 What is the greatest common divisor of 112 and 1475572? 28 Calculate the highest common divisor of 124 and 467356. 124 Calculate the highest common divisor of 244854 and 1342. 122 What is the highest common divisor of 157470 and 100? 10 Calculate the greatest common divisor of 143856 and 15392. 592 Calculate the greatest common divisor of 602 and 64834. 14 What is the highest common factor of 296 and 9916? 148 What is the greatest common factor of 224 and 203728? 112 Calculate the highest common factor of 28 and
{ "pile_set_name": "DM Mathematics" }
+ 3*a - 2*a + 2*a as o*a + l and give o. 17 Express -v - 14*v**2 - 5*v**2 + 62*v**2 + 30*v**2 as b*v + g + z*v**2 and give z. 73 Express (f + 0*f + 0*f)*(-6*f + 17*f - 65*f) - 6*f + 6*f - 3*f**2 - 2*f**2 + 4*f**2 - 3*f**2 as l*f + s + k*f**2 and give k. -58 Express -64*j - 61*j - 82*j as u*j + h and give u. -207 Rearrange (-4*g**2 - 3*g**2 + 4*g**2)*(40 - 104 - 149) to z*g**2 + p*g + a and give z. 639 Express -93 - 102*f + 93 - 688*f as b + c*f and give b. 0 Express -g**4 - 6*g**3 + 7*g**3 - 2*g + 11 - g**2 - 2*g**4 in the form t*g**2 + s + p*g + l*g**4 + r*g**3 and give t. -1 Express 15 - 547*i - 6 - 6 - 3 in the form g + r*i and give r. -547 Rearrange (-7*r**2 + 3*r**2 + r**2)*(-2182 - 1805 + 4435) to the form z*r + o*r**2 + w and give o. -1344 Express 15 - 341*n**2 - n - 4*n**4 + 341*n**2 as z*n + i*n**4 + j*n**3 + a + u*n**2 and give a. 15 Express -12*r**2 - 187*r - 16*r**2 + 31*r**2 - 4*r**2 in the form i*r**2 + j*r + l and give i. -1 Express 6*u + u - 2*u - 481*u + 270*u + 270*u - 2 + (-3 + 3 + 2)*(-4*u + 5*u - 3*u) as j*u + n and give j. 60 Rearrange 2*l**2 - 5*l**2 + 7*l**2 + (l + 4*l - 2*l)*(4*l + 5*l + l) to the form j*l**2 + g + r*l and give j. 34 Rearrange (-2*h + 5*h - 4*h)*(-21 - 33 + 34 - 44) to g*h + z and give g. 64 Rearrange 6*s - s**2 + 0*s**4 + 0*s**4 - 2*s**4 + 2 - 3*s + 2*s**2 + 2*s**3 to f*s**3 + o + i*s**2 + h*s**4 + m*s and give f. 2 Express (5*d**2 + 0*d**2 - 4*d**2)*(-75*d + 56*d - 225*d - 209*d)*(-5*d + 3*d - d) as v*d + a*d**2 + w + g*d**4 + h*d**3 and give g. 1359 Express z**2 + 2*z**2 - 5*z**2 + (0*z**2 - z**2 + 4*z**2)*(5 - 4 + 1) - 9*z**2 - 9*z**2 + 32*z**2 in the form w*z**2 + n*z + s and give w. 18 Rearrange 29966*q**2 - 2 - 4*q - 29958*q**2 + 5*q**3 + 2 to r*q**3 + k*q + a*q**2 + x and give a. 8 Express 32*m**2 - 66*m**2 + 36*m**2 - m**3 + 166*m**4 as o*m + h + a*m**2 + k*m**3 + s*m**4 and give k. -1 Express -n**3 - 7*n - n**4 - n**3 - 806 + 805 as y*n**4 + j*n**2 + k + i*n**3 + a*n and give k. -1 Express -42*p + 95*p + 105*p in the form t*p + l and give l. 0 Express 9*g**3 - 5*g**3 - 10 - 5*g**3 + 67*g**2 + g**4 - 39*g**2 as j + z*g**3 + c*g**2 + k*g**4 + h*g and give k. 1 Rearrange -2*h**3 + 21 - 2*h**2 + 4*h**2 - 12 to j + n*h**3 + q*h**2 + b*h and give j. 9 Express (3 - 4 - 5)*(-3*n**2 + 3*n**2 - 2*n**3) + (-35 + 18 + 18 - 5*n**2)*(-n + 4 - 4) in the form t*n + c + y*n**2 + j*n**3 and give y. 0 Express -206*t**2 - 45*t**2 - 118*t**2 + (3 - t - 3)*(-3*t + 0*t + 4*t) + 3 - 3 - t**2 in the form k*t**2 + v + w*t and give k. -371 Express (0*x**3 + x**3 + 3*x**3)*(-9 - 245 + 32 - 99 - 365) as w*x + j*x**2 + m*x**3 + g and give m. -2744 Rearrange 2 - 2 - 2*m + 4*m - m - m + m + 3 - 3 + (7 - 2 - 3)*(3 - 3 + 2*m) + (4 - 6 + 1)*(3*m - 4*m + 3*m) + m - 20 + 20 to r + p*m and give p. 4 Express -404*s + 611 - 611 - 175*s as j + d*s and give d. -579 Rearrange -3*a**2 + 1 + 36*a**4 - 6*a**2 - a + 2*a**3 - 2 + 8*a**2 to the form j*a**3 + o*a**2 + d*a**4 + n + l*a and give o. -1 Express (0 - 6 + 2 - 5*v)*(8*v**3 - v**3 - 5*v**3 + 3) in the form z*v**2 + c*v**4 + y*v + u + b*v**3 and give b. -8 Rearrange -78 + 195*z**3 - z - 76 + 154 to i + t*z**3 + y*z + j*z**2 and give y. -1 Rearrange (11 + 47 + 49 - 21)*(-30*v + 22*v + 2 - 3) to the form p + f*v and give f. -688 Rearrange 6 - 2*s + 19 - 82 to k*s + i and give k. -2 Express 74 - 100*o - 37 + 490*o - 36 as i*o + s and give i. 390 Express (-10*j**2 - 14 + 17 - 13)*(2*j**2 + 5*j**2 - 2*j**2) as f*j**4 + n*j**2 + y + l*j**3 + a*j and give n. -50 Rearrange (19*t - 195 + 195)*(-1 - 3 + 2) + 6*t + 13 - 13 + 2 - 2 - 2*t + (-4 + 4 + 2*t)*(1 + 0 - 2) to the form m*t + g and give m. -36 Rearrange -16755*n**3 - 1 + 16813*n**3 + 3 - 4*n to the form w + q*n**3 + m*n + i*n**2 and give q. 58 Rearrange 195*a + 4*a**2 - a**2 - 392*a + 196*a - 13*a**3 to the form q*a + w*a**2 + u + s*a**3 and give q. -1 Rearrange (-4*g**3 + 3*g**3 + 5*g**3)*(24*g + 15*g + 8*g) to i*g + f*g**3 + u*g**2 + n*g**4 + r
{ "pile_set_name": "DM Mathematics" }
2 - 11*r - 15*r + 21*r. Let g(f) = -f + 1. Determine -6*g(p) + y(p). -2*p**2 + p - 2 Let g(f) be the second derivative of -f**3/2 + f**2 + 12*f. Let l(m) = -3*m + 3. Determine 3*g(h) - 2*l(h). -3*h Let z(g) be the first derivative of -g**4 - 5*g**2/2 - 14. Let k(y) = 4*y**3 + 4*y. What is 5*k(o) + 4*z(o)? 4*o**3 Let g(f) = 2*f**3 - 3*f**2. Let v = 28 + -23. Let t(u) = u**3 - u**2. Calculate v*g(k) - 15*t(k). -5*k**3 Suppose 2*o + 7 = 5*m, -4*m - 2*o + o + 3 = 0. Let k(v) = -6*v**2 + 2*v + 4. Let t = 3 - 7. Let s(y) = 0 - y**2 + 1 + 0*y**2. Determine m*k(g) + t*s(g). -2*g**2 + 2*g Let o(i) = 13*i**2 + 6*i + 5. Let p(t) = 12*t**2 + 5*t + 4. Give 5*o(a) - 6*p(a). -7*a**2 + 1 Let g(r) = 19*r - 3. Let i(l) = -13*l + 2. Determine -5*g(k) - 8*i(k). 9*k - 1 Let u(d) = -7*d**2 - 5*d. Let b(h) = h**3 + 3*h**2 - 2*h - 2. Let z be b(-5). Let p be z/(-8) - (-1)/(-4). Let l(y) = -3*y**2 - 2*y. Calculate p*l(m) - 2*u(m). -m**2 Let a be (-52)/(-9) - 2/(-9). Let w(x) = -x - 3. Let f(o) be the third derivative of o**4/12 + 7*o**3/6 + 5*o**2. Give a*f(c) + 14*w(c). -2*c Let b(y) = y - 1. Let l(v) = -1. Determine -b(d) + l(d). -d Suppose 0*j = -2*j + 52. Let h be j/6 + 1/(-3). Let l(a) = -4*a + 7. Suppose 5*r = -5*q - 10, 2*r + 5*q + 1 = 2*q. Let c(k) = -3*k + 6. Give h*l(w) + r*c(w). -w - 2 Let d(x) = x**2 + 4*x + 8. Let i(k) = k + 1. Give -d(f) + 6*i(f). -f**2 + 2*f - 2 Let x(w) = 9*w**3 + 2*w**2 + 2. Let g(c) = -45*c**3 - 11*c**2 - 11. Determine -2*g(z) - 11*x(z). -9*z**3 Let f = -407 + 405. Suppose -3*t = -0 + 3. Let r(d) = -3*d. Let m be r(t). Let z(y) = -2. Let x(h) = -h - 3. Calculate f*x(g) + m*z(g). 2*g Let z(b) = -b**2 + 6*b + 2. Let p(g) = g. Let n(d) = 4*d - 27. Let s be n(7). Calculate s*z(j) - 6*p(j). -j**2 + 2 Let n(g) = g - 7. Let o(a) = -4. Let h(k) = -1. Let i(l) = -9*h(l) + 2*o(l). Calculate -5*i(w) - n(w). -w + 2 Let v(r) = -5*r**3 - 3*r**2 + 7*r - 3. Let k(t) = -4*t**3 - 2*t**2 + 6*t - 2. Determine 3*k(l) - 2*v(l). -2*l**3 + 4*l Let j(i) = 5*i + 2. Let s(k) = -2*k - 1. Determine -4*j(d) - 11*s(d). 2*d + 3 Let u(v) be the first derivative of -5*v**3/3 - 2*v**2 - v + 5. Let z(m) = -m**2 - m - 1. Give u(h) - 4*z(h). -h**2 + 3 Let p(z) = -5*z + 46. Let r(x) = -x + 9. Let b be 6/(-4) - (-6)/(-4). Let q = 1 + b. Let j(f) = q*p(f) + 11*r(f). Let h(d) = -1. Determine 6*h(i) + j(i). -i + 1 Let u(i) = -i**2 + 5*i + 59. Let q(x) = -2*x**2 + 7*x + 88. Give 5*q(z) - 7*u(z). -3*z**2 + 27 Let k(y) = -14*y**2 - 4*y - 4. Let o(g) = -85*g**2 - 25*g - 25. Calculate 25*k(m) - 4*o(m). -10*m**2 Let t(x) = 7*x**3 + 20*x**2 + 4*x - 4*x**3 - 21*x. Let j(k) = -k**3 - 7*k**2 + 6*k. Calculate 17*j(v) + 6*t(v). v**3 + v**2 Let q(k) = -3*k**2 + 2*k - 8. Let w(y) = -2*y**2 + 2*y - 7. Let t = -89 - -83. What is t*w(r) + 5*q(r)? -3*r**2 - 2*r + 2 Let t(o) = -3 - 2 - 2*o + 1 + 6. Let z(l) = -l. What is t(f) - 3*z(f)? f + 2 Let n(k) = -5*k**3 + 2*k**2 + 4*k + 5. Let s(c) = 14*c**3 - 5*c**2 - 11*c - 14. Suppose -q + 9*g - 4*g = -14, 5*q = 2*g - 45. Determine q*n(i) - 4*s(i). -i**3 - 2*i**2 + 1 Let z(y) = -y**2 + y + 3. Let f(q) = -3*q**2 + 3*q + 7. Suppose -i + 10 = -4*n, 0 = 2*i - n - 4 - 2. Determine i*f(s) - 5*z(s). -s**2 + s - 1 Let p(t) = 2*t**2 - 3*t + 5. Let s(g) = 5*g**2 - 8*g + 14. Suppose 5*a - 13 + 68 = 0. What is a*p(u) + 4*s(u)? -2*u**2 + u + 1 Let r(l) = -2*l**3 + 3*l**2 + 2*l + 4. Let t(h) = h**2 + 3*h - 4. Let v be t(-3). Let i(w) = 4*w**3 - 7*w**2 - 5*w - 9. What is v*i(q) - 9*r(q)? 2*q**3 + q**2 + 2*q Let a(c) = -9*c. Suppose -9*u + 6 - 24 = 0. Let w(k) = -4*k
{ "pile_set_name": "DM Mathematics" }
rom {w: 2, b: 3, q: 3, z: 5}. 5/286 Three letters picked without replacement from {r: 1, w: 1, y: 2, p: 5}. Give prob of sequence yrp. 5/252 Calculate prob of sequence zb when two letters picked without replacement from {h: 1, z: 6, b: 4}. 12/55 Three letters picked without replacement from raawawarrwawrdwr. Give prob of sequence rra. 5/168 What is prob of sequence ggg when three letters picked without replacement from qgqgggqgqgqggg? 3/13 What is prob of sequence gmc when three letters picked without replacement from dgnymgccyggm? 2/165 What is prob of sequence qqr when three letters picked without replacement from qrqqqqr? 4/21 Three letters picked without replacement from {i: 3, l: 4}. Give prob of sequence iil. 4/35 What is prob of sequence oy when two letters picked without replacement from {i: 2, x: 3, o: 2, h: 4, y: 2}? 1/39 Calculate prob of sequence mm when two letters picked without replacement from mnmpmmmnmnmmnnn. 4/15 What is prob of sequence jlzw when four letters picked without replacement from wjljllzzjzv? 3/880 What is prob of sequence dbe when three letters picked without replacement from {d: 3, b: 1, r: 2, c: 1, e: 3, g: 1}? 1/110 Calculate prob of sequence yls when three letters picked without replacement from tslyt. 1/60 What is prob of sequence tk when two letters picked without replacement from {k: 11, t: 1}? 1/12 Calculate prob of sequence ccc when three letters picked without replacement from {c: 3, p: 3}. 1/20 What is prob of sequence fhf when three letters picked without replacement from hhfhhfhfhffffh? 7/52 Four letters picked without replacement from aqglowg. Give prob of sequence lggo. 1/420 Two letters picked without replacement from {j: 7, t: 5, z: 7}. Give prob of sequence tz. 35/342 Calculate prob of sequence ekgv when four letters picked without replacement from {m: 3, v: 6, k: 2, e: 1, g: 1}. 1/1430 Calculate prob of sequence lllj when four letters picked without replacement from llllllljjlllllllllll. 8/95 Four letters picked without replacement from nddlddpltildldnlntt. What is prob of sequence lpdl? 5/3876 What is prob of sequence byyc when four letters picked without replacement from beyceeypueebeeuey? 1/4760 Calculate prob of sequence wwrr when four letters picked without replacement from wbwrrrbrr. 5/378 Two letters picked without replacement from bbbjbbbjbjb. Give prob of sequence jj. 3/55 What is prob of sequence xk when two letters picked without replacement from {x: 3, m: 1, i: 1, k: 7}? 7/44 Four letters picked without replacement from ikkilili. What is prob of sequence klkl? 1/420 Three letters picked without replacement from clcculuccncncuc. What is prob of sequence ccl? 8/195 Calculate prob of sequence irk when three letters picked without replacement from iiirkfirwriwrwitriw. 35/5814 Two letters picked without replacement from {c: 4, a: 5, e: 2, n: 2, w: 1, x: 1}. What is prob of sequence ex? 1/105 Calculate prob of sequence hhu when three letters picked without replacement from {h: 3, u: 4}. 4/35 What is prob of sequence pp when two letters picked without replacement from pppppppppp? 1 What is prob of sequence pn when two letters picked without replacement from {n: 1, o: 13, p: 1}? 1/210 Calculate prob of sequence odr when three letters picked without replacement from ysdsoru. 1/210 What is prob of sequence wz when two letters picked without replacement from {z: 7, y: 2, j: 8, w: 2}? 7/171 Calculate prob of sequence td when two letters picked without replacement from {i: 2, d: 2, e: 2, t: 4, v: 4, c: 1}. 4/105 Four letters picked without replacement from vvvvvdvd. What is prob of sequence vdvv? 1/7 Calculate prob of sequence mww when three letters picked without replacement from {m: 2, w: 1}. 0 Calculate prob of sequence fyfy when four letters picked without replacement from nyqyxxxqymfmfyfyyy. 7/2040 Two letters picked without replacement from {z: 1, q: 1, k: 1}. What is prob of sequence qz? 1/6 What is prob of sequence lrlr when four letters picked without replacement from rlrrlrrrlrrr? 2/55 What is prob of sequence mhpd when four letters picked without replacement from {u: 6, p: 5, h: 3, d: 1, m: 2}? 1/1904 Calculate prob of sequence et when two letters picked without replacement from {t: 1, x: 1, e: 1, z: 2, k: 2}. 1/42 Three letters picked without replacement from eweegeweeeeggeef. Give prob of sequence eef. 3/112 Calculate prob of sequence rr when two letters picked without replacement from {r: 3, k: 1, g: 2, z: 2, j: 1, w: 3}. 1/22 What is prob of sequence ai when two letters picked without replacement from cigcaggaccaacccaa? 3/136 Four letters picked without replacement from {k: 2, x: 2, d: 2}. Give prob of sequence dxdx. 1/90 Calculate prob of sequence zuw when three letters picked without replacement from {e: 1, z: 1, m: 1, u: 4, w: 2}. 1/63 Three letters picked without replacement from {u: 3, f: 1, t: 4}. Give prob of sequence ttf. 1/28 What is prob of sequence en when two letters picked without replacement from {a: 5, n: 5, e: 4}? 10/91 Three letters picked without replacement from fnuggguugggggug. Give prob of sequence ggf. 12/455 Three letters picked without replacement from {a: 1, t: 1, k: 2, h: 1, v: 2}. Give prob of sequence vvk. 2/105 Two letters picked without replacement from {a: 3, d: 5}. Give prob of sequence da. 15/56 Four letters picked without replacement from iiojiiijioiijjp. Give prob of sequence ooji. 8/4095 Two letters picked without replacement from cwncrnn. Give prob of sequence rc. 1/21 Calculate prob of sequence meee when four letters picked without replacement from {n: 2, w: 3, m: 8, e: 4}. 2/595 Three letters picked without replacement from rqrrrrvvrqbq. Give prob of sequence brr. 1/44 Three letters picked without replacement from ontkokbfofnfk. Give prob of sequence tno. 1/286 What is prob of sequence wy when two letters picked without replacement from qwyxnqu? 1/42 What is prob of sequence eyy when three letters picked without replacement from eeyeyeeeeeeeeeeeeeey? 17/1140 Three letters picked without replacement from bfqbcfm. Give prob of sequence bcc. 0 Three letters picked without replacement from pvpvvooepvoovov. What is prob of sequence epv? 3/455 Calculate prob of sequence hhe when three letters picked without replacement from {q: 1, h: 13, e: 3}. 39/340 Four letters picked without replacement from {e: 1, l: 1, h: 13}. What is prob of sequence hehl? 1/210 What is prob of sequence khcl when four letters picked without replacement from {l: 1, c: 2, h: 2, j: 2, k: 3, e: 2}? 1/990 Two letters picked without replacement from ddddd. Give prob of sequence dd. 1 Three letters picked without replacement from iytyymtiitttiyty. What is prob of sequence ttm? 1/112 Calculate prob of sequence iodj when four letters picked without replacement from boiooodjjjmo. 1/792 What is prob of sequence fuuu when four letters picked without replacement from uuuuuuuuuuuf? 1/
{ "pile_set_name": "DM Mathematics" }
closest to -1/2? (a) -14 (b) -2/5 (c) -95 b Which is the closest to 2/5? (a) -3/8 (b) -38 (c) 5 (d) 0.4 d Which is the closest to -1/6? (a) 0.3 (b) -5 (c) -0.06 c What is the closest to -2/7 in 10, 5, -6/7, -4? -6/7 Which is the nearest to 17? (a) -4 (b) 0.17 (c) -2/9 b What is the closest to -0.1 in 3, 2/13, -0.17, 4? -0.17 What is the closest to -1/2 in -14, 20/17, 2/9, -0.4? -0.4 What is the closest to 0 in 2, 4, 0.2? 0.2 What is the nearest to -26 in 3, 0.5, -3/5? -3/5 Which is the nearest to 2/7? (a) 5 (b) -1/4 (c) 0.1 (d) -6 c What is the nearest to 3/20 in -0.1, -3/4, -0.08? -0.08 Which is the closest to -0.04? (a) 2/23 (b) 3 (c) -4 a Which is the closest to -0.1? (a) 0.4 (b) -0.371 (c) -2 b Which is the nearest to -2/3? (a) -0.2 (b) -4 (c) -6 a Which is the nearest to -4? (a) -1/4 (b) 2/9 (c) 6/11 (d) 3 a Which is the nearest to 0.1? (a) 1/2 (b) 0.2 (c) -595 b What is the nearest to -2/5 in 2, -2/3, -1, 1/3? -2/3 What is the nearest to -2/13 in -5, 4, -4, -0.06? -0.06 What is the nearest to 12 in 6, -3, -0.5? 6 What is the nearest to -1 in 0.14, 5, -3, -0.5? -0.5 Which is the closest to -6? (a) 3 (b) 4 (c) 1/16 (d) 0.1 c Which is the closest to -2/5? (a) 4 (b) 3 (c) -0.3 (d) 13 c Which is the closest to -1/3? (a) 0.3 (b) -0.253 (c) -1/5 b What is the closest to 0.1 in 31, -2/5, 1/2? 1/2 What is the nearest to -3/5 in -44, 0.05, -4? 0.05 What is the nearest to 2/11 in 3, -4, 2/7, 4? 2/7 Which is the closest to -1/445? (a) 3/2 (b) -0.5 (c) 1 (d) 0.4 d Which is the closest to 0.2? (a) 1/5 (b) 2 (c) 45/7 a What is the closest to 0 in 6, -7, 2, -2/11? -2/11 What is the nearest to -2 in 1/4, 3, -3? -3 What is the closest to -2/7 in -8, 1, 2/3, 2/9? 2/9 Which is the closest to -0.1? (a) -1/6 (b) -8 (c) -9 (d) -2/5 a Which is the closest to 0.4? (a) -4 (b) 1/25 (c) 3 b What is the nearest to -0.1 in -1/3, 0.01, -0.04, -4? -0.04 Which is the closest to 3? (a) 0.5 (b) -3/4 (c) 5 (d) 1/4 c What is the nearest to -2 in 0, 0.53, -2/7, 0.2? -2/7 What is the closest to -0.1 in -30, -18, 0.3? 0.3 What is the nearest to -7 in 79, 3/7, -2? -2 Which is the nearest to 2? (a) 4/5 (b) -1 (c) 0.5 (d) -6 a What is the nearest to -20 in -1/4, -0.1, 0.1? -1/4 Which is the nearest to 0.1? (a) 1 (b) 0.1 (c) 0.2 b Which is the nearest to 1/4? (a) -3 (b) 3 (c) -1.8 (d) 2/5 d Which is the closest to -1/2? (a) 0.07 (b) 5 (c) -5 (d) -3 a Which is the nearest to 0.4? (a) 73 (b) -4 (c) 0 c Which is the closest to 0? (a) -1 (b) 4 (c) -7/2 (d) 0.4 d Which is the closest to -0.4? (a) -5 (b) 5 (c) 0.2 (d) 4 c Which is the closest to 2? (a) 2 (b) -0.04 (c) -0.1 (d) -3 a What is the nearest to -2/5 in -0.06, 5/4, 3? -0.06 What is the nearest to 14 in -4, 4, -5, 1/2? 4 What is the closest to 0.1 in -0.2, -0.8, 4, -3? -0.2 Which is the closest to 0.2? (a) 2.6 (b) -1/2 (c) 2 b Which is the closest to 0? (a) 1/4 (b) -12 (c) 2/5 (d) 0.08 d Which is the closest to 2/5? (a) -4 (b) -4/3 (c) -3 (d) 5 b Which is the closest to -4? (a) 1/29 (b) -3/7 (c) -0.1 b Which is the closest to 0? (a) 1/4 (b) -3/5 (c) -128 (d) -3/2 a Which is the closest to 1/4? (a) -2 (b) 0 (c) -1 (d) 9/2 b Which is the nearest to 4/3? (a) -3/5 (b) 6 (c) 1 c What is the closest to 1/3 in 0.2, 5, 4, 1? 0.2 What is the nearest to -4 in 0, 1, -0.04? -0.04 What is the closest to -15 in 0.3, 5, -0.11, 0.5? -0.11 Which is the nearest to -1? (a) 13 (b) 26 (c) -0.2 (d) 1/9 c What is the nearest to -0.1 in -0.06, 1/8, 2/7? -0.06 Which is the nearest to 0.1? (a) 5 (b) 0.2 (c) 2 (d) 31 b What is the closest to 3 in -11, 2/19, 0, 1/5? 1/5 Which is the closest to -0.01? (a) 5 (b) -292 (c) -0.2 c What is the closest to -0.1 in 0.1036, 3/2, 0.2? 0.1036 Which is
{ "pile_set_name": "DM Mathematics" }
7, to the nearest integer? 4 What is 17095 to the power of 1/7, to the nearest integer? 4 What is the third root of 187 to the nearest integer? 6 What is the square root of 2589 to the nearest integer? 51 What is 10331 to the power of 1/2, to the nearest integer? 102 What is the sixth root of 14756 to the nearest integer? 5 What is 102 to the power of 1/7, to the nearest integer? 2 What is the square root of 97011 to the nearest integer? 311 What is the tenth root of 21395 to the nearest integer? 3 What is 22944 to the power of 1/8, to the nearest integer? 4 What is 20096 to the power of 1/3, to the nearest integer? 27 What is 1931 to the power of 1/7, to the nearest integer? 3 What is the cube root of 4088 to the nearest integer? 16 What is the third root of 7164 to the nearest integer? 19 What is the third root of 3036 to the nearest integer? 14 What is the fifth root of 22787 to the nearest integer? 7 What is 15399 to the power of 1/9, to the nearest integer? 3 What is the square root of 17019 to the nearest integer? 130 What is the square root of 23009 to the nearest integer? 152 What is the third root of 41266 to the nearest integer? 35 What is 81517 to the power of 1/6, to the nearest integer? 7 What is the tenth root of 70414 to the nearest integer? 3 What is the square root of 12118 to the nearest integer? 110 What is the cube root of 1964 to the nearest integer? 13 What is the cube root of 906 to the nearest integer? 10 What is the cube root of 2656 to the nearest integer? 14 What is 2167 to the power of 1/2, to the nearest integer? 47 What is the fifth root of 12694 to the nearest integer? 7 What is 58527 to the power of 1/4, to the nearest integer? 16 What is the third root of 174 to the nearest integer? 6 What is 382 to the power of 1/9, to the nearest integer? 2 What is the third root of 6452 to the nearest integer? 19 What is 1048 to the power of 1/3, to the nearest integer? 10 What is the cube root of 49786 to the nearest integer? 37 What is the eighth root of 13096 to the nearest integer? 3 What is 16314 to the power of 1/2, to the nearest integer? 128 What is the eighth root of 20693 to the nearest integer? 3 What is 34889 to the power of 1/3, to the nearest integer? 33 What is 24588 to the power of 1/5, to the nearest integer? 8 What is 33481 to the power of 1/3, to the nearest integer? 32 What is 14421 to the power of 1/7, to the nearest integer? 4 What is the third root of 613 to the nearest integer? 8 What is 485 to the power of 1/7, to the nearest integer? 2 What is 2917 to the power of 1/9, to the nearest integer? 2 What is 19948 to the power of 1/2, to the nearest integer? 141 What is the square root of 20257 to the nearest integer? 142 What is the third root of 11550 to the nearest integer? 23 What is 8132 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 33822 to the nearest integer? 4 What is 16483 to the power of 1/9, to the nearest integer? 3 What is the square root of 5048 to the nearest integer? 71 What is 5075 to the power of 1/3, to the nearest integer? 17 What is the seventh root of 13791 to the nearest integer? 4 What is 1406 to the power of 1/3, to the nearest integer? 11 What is the sixth root of 89258 to the nearest integer? 7 What is 11734 to the power of 1/2, to the nearest integer? 108 What is 1007 to the power of 1/8, to the nearest integer? 2 What is 3622 to the power of 1/8, to the nearest integer? 3 What is the fifth root of 51177 to the nearest integer? 9 What is 6051 to the power of 1/10, to the nearest integer? 2 What is 616 to the power of 1/10, to the nearest integer? 2 What is the fifth root of 19783 to the nearest integer? 7 What is the square root of 1664 to the nearest integer? 41 What is 26863 to the power of 1/3, to the nearest integer? 30 What is the eighth root of 3645 to the nearest integer? 3 What is 60101 to the power of 1/2, to the nearest integer? 245 What is the square root of 15162 to the nearest integer? 123 What is 2417 to the power of 1/2, to the nearest integer? 49 What is the sixth root of 30668 to the nearest integer? 6 What is 29594 to the power of 1/2, to the nearest integer? 172 What is 70803 to the power of 1/8, to the nearest integer? 4 What is the eighth root of 6121 to the nearest integer? 3 What is the cube root of 2325 to the nearest integer? 13 What is the seventh root of 165860 to the nearest integer? 6 What is the square root of 4174 to the nearest integer? 65 What is 467 to the power of 1/2, to the nearest integer? 22 What is 47986 to the power of 1/5, to the nearest integer? 9 What is 10 to the power of 1/5, to the nearest integer? 2 What is 1473 to the power of 1/2, to the nearest integer? 38 What is the square root of 30226 to the nearest integer? 174 What is 808 to the power of 1/3, to the nearest integer? 9 What is 592 to the power of 1/2, to the nearest integer? 24 What is 6758 to the power of 1/5, to the nearest integer? 6 What is 2483 to the power of 1/7, to the nearest integer? 3 What is the third root of 1139 to the nearest integer? 10 What is the ninth root of 143094 to the nearest integer? 4 What is the square root of 2280 to the nearest integer? 48 What is 512 to the power of 1/2, to the nearest integer? 23 What is the square root of 136785 to the nearest integer? 370 What is the cube root of 7925 to the nearest integer? 20 What is the third root of 648 to the nearest integer? 9 What is 11 to the power of 1/3, to the nearest integer? 2 What is 12003 to the power of 1/3, to the nearest integer? 23 What is the cube root of 1879 to the nearest integer? 12 What is 669 to the power of 1/2, to the nearest integer? 26 What is the eighth root of 1099 to the nearest integer? 2 What is 13957 to the power of 1/10, to the nearest integer? 3 What is 14183 to the power of 1/4, to the nearest integer? 11 What is 33034 to the power of 1/3, to the nearest integer? 32 What is 5592 to the power of 1/5, to the nearest integer? 6 What is the square root of 1765 to the nearest integer? 42 What is 1231 to the power of 1/3, to the nearest integer? 11 What is 7051 to the power of 1/7, to the nearest integer? 4 What is the third root of 879 to the nearest integer? 10 What is 715 to the power of 1/8, to the nearest integer? 2 What is 56 to the power of 1/7, to the nearest integer? 2 What is 14703 to the power of 1/3, to the nearest integer? 24 What is the ninth root of 1592 to the nearest integer? 2 What is the cube root of 8394 to the nearest integer? 20 What is the square root of 18506 to the nearest integer? 136 What is 2808 to the power of 1/4, to the nearest integer? 7 What is 16545 to the power of 1/10, to the nearest integer? 3 What is 171 to the power of 1/2, to the nearest integer? 13 What is 22771 to the power of 1/6, to the nearest integer? 5 What is the fourth root of
{ "pile_set_name": "DM Mathematics" }
- 2 + 2 + 273*z**2. -z**2 Collect the terms in 334*r**3 - 1007*r**3 + 338*r**3 + 337*r**3. 2*r**3 Collect the terms in 691*c - 93*c + 746*c. 1344*c Collect the terms in -16*g**2 + g**3 - 3*g**2 + 19*g**2. g**3 Collect the terms in 249*b**3 - 251*b**3 - 2 + 2. -2*b**3 Collect the terms in 238*l - 435*l + 199*l. 2*l Collect the terms in 143*w - 64*w + 301*w. 380*w Collect the terms in -481*z**3 - 5*z**2 - 5*z**2 + 10*z**2. -481*z**3 Collect the terms in -5 - 3 - 5*b + 9*b. 4*b - 8 Collect the terms in -31*o + 93 + 60*o - 93 - 30*o. -o Collect the terms in -10 + 19 - 9 + 25*q. 25*q Collect the terms in -17*m - 1 + 8*m - 23*m - m. -33*m - 1 Collect the terms in 90*u**3 + 43*u**3 + 5*u**2 + 30*u**3 - 3*u**2. 163*u**3 + 2*u**2 Collect the terms in -5*q - 87 + 2*q + 75. -3*q - 12 Collect the terms in 11 - 11 + 17*p. 17*p Collect the terms in -i**2 - 42*i + 42*i. -i**2 Collect the terms in -13*u**2 - 9*u**2 + 5*u**2 + u**2. -16*u**2 Collect the terms in 16*h - 53 + 53. 16*h Collect the terms in -6*c**2 + 12*c**3 + 8*c**3 + 6*c**2. 20*c**3 Collect the terms in -39*z**2 + 14*z**2 + 12*z**2 + 8*z**2. -5*z**2 Collect the terms in -58*f**2 - 68*f**2 + 129*f**2. 3*f**2 Collect the terms in -6*p - 7 - 6*p - 33*p. -45*p - 7 Collect the terms in h**3 - 24*h**3 + 6*h**3 - 12*h**3. -29*h**3 Collect the terms in 27*w - 45*w + 22*w. 4*w Collect the terms in 14*b**2 - 24*b**2 - 6*b**2. -16*b**2 Collect the terms in -8*a**2 + 2*a**3 - 2*a**3 + 8*a**3. 8*a**3 - 8*a**2 Collect the terms in 18 + 4 - 22 + 3*b. 3*b Collect the terms in 42*x**3 + 4*x - 4*x. 42*x**3 Collect the terms in 16*x**3 - 2574 + 2574. 16*x**3 Collect the terms in 63*y**3 - 38*y**3 - 23*y**3. 2*y**3 Collect the terms in 484*o**2 - 969*o**2 + 480*o**2. -5*o**2 Collect the terms in 27*t - 17*t - 5*t. 5*t Collect the terms in 686 - 686 + 11*u. 11*u Collect the terms in -4*l**2 - 22*l**2 - 2*l**2. -28*l**2 Collect the terms in -21*t - 74*t**3 + 75*t**3 - 11*t - 2*t. t**3 - 34*t Collect the terms in -8 + 8 - 2219*i**2 + 2218*i**2. -i**2 Collect the terms in d**3 + 114*d**3 - 5*d**3. 110*d**3 Collect the terms in -2 - 6*c**2 - 37*c**2 + 2. -43*c**2 Collect the terms in 0*u**2 - 5*u**2 + 3*u**2. -2*u**2 Collect the terms in -12*m**2 + 11*m**2 - 6*m**2. -7*m**2 Collect the terms in 1971 - 986 + p**2 - 985. p**2 Collect the terms in w - w + 1441*w**2 - 1446*w**2. -5*w**2 Collect the terms in 13*i**2 - 2 + 2 + 4 - 2. 13*i**2 + 2 Collect the terms in -92*o + 7*o**2 + 30*o - 6*o**2. o**2 - 62*o Collect the terms in n + 8*n - 12*n + 69*n + 3*n**2. 3*n**2 + 66*n Collect the terms in 71*s + 349*s + 220*s - 38*s. 602*s Collect the terms in -4*t + 43*t**3 + 4*t + 2*t. 43*t**3 + 2*t Collect the terms in 1405*o**2 - 700*o**2 - 701*o**2. 4*o**2 Collect the terms in 65*i - 36*i - 25*i. 4*i Collect the terms in 127*c + 121*c - 372*c + 3*c**2 + 124*c. 3*c**2 Collect the terms in 251510*c**2 + 0 - 1 - 251513*c**2 + 1. -3*c**2 Collect the terms in -12 - 88*i + 13*i + 28 - 17. -75*i - 1 Collect the terms in 81*s + 19*s**3 - 81*s - 17*s**3. 2*s**3 Collect the terms in -42*c + 8 + 14*c - 10. -28*c - 2 Collect the terms in 13*m - 210*m + 10*m. -187*m Collect the terms in 73*s - 105*s - 132*s - 45*s. -209*s Collect the terms in -18 + 10 + 8 + 2*c**2. 2*c**2 Collect the terms in 4*i + 0*i - 22*i + 16*i - 2*i. -4*i Collect the terms in 4*g + 0*g + 7*g. 11*g Collect the terms in -47*p**3 - 12*p**3 - 29*p**3. -88*p**3 Collect the terms in -6 - 86*x + 4 + 2. -86*x Collect the terms in -18*m**2 - 2*m**2 - 2*m**2 + 5*m**2. -17*m**2 Collect the terms in 141*j + 163*j - 287*j. 17*j Collect the terms in -12 - 11 + 2 + 12 + 9 - 2*z. -2*z Collect the terms in 237*x**2 - 121*x**2 - 119*x**2. -3*x**2 Collect the terms in -l - 209*l**3 + 214*l**3 + l. 5*l**3 Collect the terms in -3*i**3 - 2*i**3 - i**3 - 10*i**3. -16*i**3 Collect the terms in -16*c - 25*c + 43*c. 2*c Collect the terms in 3*g**3 + 10*g**3 - g**3 + 0*g**3. 12*g**3 Collect the terms in 38*p**3 + 1512*p - 1512*p. 38*p**3 Collect the terms in -5 + 85*d**3 + 3*d - 2*d - 2*d. 85*d**3 - d - 5 Collect the terms in -140 + 140 + 3*x**2. 3*x**2 Collect the terms in -9*u - 11*u - 22*u + u. -41*u Collect the terms in -3*q
{ "pile_set_name": "DM Mathematics" }
- 15/5). Let h = 1291 + -1280. What is the highest common divisor of b and h? 1 Suppose o + 91 + 48 = 0. Let w = 146 + o. Calculate the highest common factor of 238 and w. 7 Suppose 0*t + 1575 = 5*t. Suppose 5*f = -0*f + t. Suppose 2*y - 4*l = 96, -l - 57 = -5*y + 156. What is the highest common divisor of y and f? 21 Let f be 25/3*(-69495)/(-1025). What is the highest common divisor of 10 and f? 5 Suppose 2*j - 680 = -2*n, 6*n - 684 = 4*n - 3*j. Let r = n + -35. What is the highest common factor of r and 7? 7 Let h = -7755 + 12285. Calculate the highest common divisor of 60 and h. 30 Let y(m) = -45*m**2 - 360*m + 42. Let t be y(-8). What is the greatest common factor of t and 434? 14 Let z = -102 - -105. Let w(r) = 6 + r**3 + 4*r - 6*r**2 + z + 4*r + 2. Let t be w(5). Calculate the greatest common divisor of 26 and t. 26 Let t = -270 + 272. Suppose 5*d - 849 = t*h, 67*d = 64*d - h + 516. Let j(k) = -k**3 + 1. Let w be j(-2). Calculate the highest common divisor of w and d. 9 Let p be (-9)/27*3 - (-73 - 0). Let t = p - 30. Calculate the greatest common factor of 63 and t. 21 Let i = 1337 + -54. Suppose 3*j = -2*g + 962, 4*j + 2*g + g = i. What is the greatest common factor of j and 64? 64 Let k(q) = -q**2 - 206*q + 156. Let w be k(0). What is the highest common divisor of w and 78? 78 Let d = 1237 + -1184. Suppose 0 = 8*c - 12*c + 4*v - 8, 6 = 2*v. What is the greatest common divisor of c and d? 1 Let j = 214327 + -214319. Let p = 70 - -22. Calculate the highest common factor of p and j. 4 Let m = -22 - -30. Suppose -m*o - 44 = -12*o. Suppose -o = -3*w + 34. Calculate the highest common divisor of 105 and w. 15 Let j(q) = 21*q**3 - q**2 - 3*q - 9. Let m be j(-2). Let b = -142 - m. Calculate the highest common factor of 9 and b. 3 Suppose 72 + 152 = 7*m. Suppose 16 = 5*g + 2*p - m, 12 = 3*p. Calculate the highest common factor of 40 and g. 8 Suppose 6*a - 308 = -8*a + 476. What is the greatest common divisor of a and 88? 8 Let s(n) = -53*n - 773. Let b be s(-17). Calculate the greatest common factor of b and 6176. 32 Suppose -103*h = -71*h - 10752. Calculate the highest common divisor of 39 and h. 3 Let r = 101 + -223. Let p = r - -275. Let m(s) = 2*s**2 - 12*s + 3. Let f be m(7). Calculate the highest common divisor of p and f. 17 Let z be 6048 + ((-14)/(-10))/(2/40*-4). Calculate the highest common factor of 35 and z. 7 Suppose 5 = -4*u + 17, -3*o - u - 129 = 0. Let y = o - -43. Let v be y/((-4)/(-4)) - (-1 + -14). What is the highest common divisor of 21 and v? 7 Let p be 57/133 + (-368)/(-7). What is the highest common factor of p and 1961? 53 Suppose -5*v = -9*v - 580. Let o = v + 271. Let l be (72/o)/(2/7). What is the highest common divisor of 16 and l? 2 Let y(j) = 3*j + 75 + 20 + 78 - 24 - j**2 + 54. Let n be y(0). What is the greatest common factor of n and 29? 29 Let g = 3426 - 3342. What is the highest common divisor of g and 21? 21 Let m(s) = -s**2 + 10*s + 28. Let b be m(12). Let w be -1*b/((-8)/(-1))*-4. Suppose 0 = -w*x + 12*x - 190. What is the greatest common divisor of x and 152? 19 Let v = -5152 - -5325. What is the greatest common factor of 4 and v? 1 Suppose 257*h - 2*w = 261*h - 1980, w + 2475 = 5*h. Calculate the greatest common factor of h and 3795. 165 Let r be 0*(33/6 + -5). Suppose r*u + 72 = 12*u. Let p(v) = 2*v**3 - 5*v**2 + 5*v - 2. Let n be p(2). Calculate the greatest common factor of n and u. 2 Let z = -5 - -10. Suppose -4*b + 1 = -0*l - l, 0 = -l - z*b + 44. Let i = -1177 + 1215. What is the greatest common factor of i and l? 19 Let h(k) = -k**2 + 2*k + 80. Let r be h(-19). Let z = r - -464. Calculate the highest common divisor of z and 29. 29 Suppose -46*v + 4110 = -13140. Calculate the highest common factor of v and 9875. 125 Let g(m) = -50*m**3 + 4*m**2 + 70*m + 331. Let i be g(-6). Calculate the highest common factor of i and 13. 13 Suppose 0 = -35*w + 320410 - 81115. Calculate the greatest common divisor of 43 and w. 43 Suppose -i + 431 = 3*m, -309 = 6*m - 8*m - 5*i. Suppose -4*y + 9*y - 4*q = m, -y = -4*q - 22. What is the highest common divisor of 570 and y? 30 Let s(q) = q**3 - 116*q**2 - 601*q - 108. Let d be s(121). What is the greatest common divisor of 47 and d? 47 Let r = -171 - 10. Let b = r - -225. Calculate the greatest common factor of 154 and b. 22 Suppose 106*o = 64*o - 13*o + 44330. Calculate the highest common factor of o and 442. 26 Suppose 0 = -5*g + 4*y + 227364, 5*g - 188594 = 3*y + 38769. What is the highest common divisor of 58 and g? 58 Suppose 64 = 2*y - 56. Let r = -15889 - -15925. What is the greatest common divisor of r and y? 12 Let a be ((-2)/6)/((-1)/12). Let h be (a - -22) + 2 + -1. Let p = -484 - -487. What is the greatest common divisor of h and p? 3 Let f = -10 - -52. Suppose -1722 = -7*s + 630. Calculate the greatest common divisor of s and f. 42 Let c be (1 + 5)*(1484/84)/1. Calculate the greatest common divisor of 6625 and c. 53 Suppose 5*q - 12 - 8 = 0. Let f be (-1)/((-1)/8)*(-3)/q. Let h(t) = t + 20. Let o be h(f). Calculate the greatest common divisor of o and 70. 14 Suppose -15*m = -17*m + 36. Let r(u) = -7 + 4 - 13*u - 35*u. Let k be r(-1). Calculate the highest common divisor of k and m. 9 Suppose 19*p - 9*p + 3860 = 0. Let l = p + 424. Let u(a) = 3*a**2 + 3*a + 5. Let v be u(5). What is the highest common factor of l and v? 19 Let n = -33 + 720. Let m = n + -592. What is the greatest common divisor of m and 20? 5 Let j =
{ "pile_set_name": "DM Mathematics" }
arrange 0*b**2 + 9*b**2 - 5*b + 5*b to d*b**2 + y*b + x and give d. 9 Express (-1 - 1 + 3)*(-n**3 - 3*n**3 + n**3) - 4*n + 13*n**3 - 2*n + 2*n + (-2*n**3 + 4*n**3 + 0*n**3)*(1 - 3 + 1) as y + l*n**3 + r*n**2 + x*n and give x. -4 Express (-2 - 3 + 4 + (3 + 4 - 5)*(-4 + 2 + 3))*(-3*t**2 - 26*t + 9*t + 11*t) as v*t + h + l*t**2 and give v. -6 Express 47 + 11*h - 7*h - 2*h + 26 in the form g + n*h and give g. 73 Rearrange -4 + 10 - 13*b - 7*b + 6*b to the form w*b + n and give w. -14 Express 17*o - 53 + 53 in the form q + x*o and give x. 17 Express (2*t**3 - t**3 + 0*t**3)*(t + t + 2*t) + 7*t + 4*t**4 + 0*t**4 - 3*t**4 as o + h*t**3 + z*t + b*t**2 + r*t**4 and give r. 5 Express 0 + 0 - 80*o**2 as h + a*o + j*o**2 and give j. -80 Rearrange -h + 18*h**2 + 11*h**2 + 14*h**2 - 41*h**2 to the form a*h**2 + k*h + p and give a. 2 Rearrange (-813 + 813 - 59*k)*(-3*k + 3*k - k**3) - 3*k**2 + 3*k**4 + 3*k**2 to the form d*k**4 + i*k + m*k**2 + g*k**3 + o and give d. 62 Rearrange 5*y - 2 - 5*y + y**3 + 2*y to the form x*y**3 + l*y + w*y**2 + a and give l. 2 Rearrange 5 + 0 + 5*o**2 - 3 + 50*o - 48*o to s + f*o + h*o**2 and give h. 5 Express -r - 5*r + 7*r - 8*r in the form z + s*r and give s. -7 Rearrange -40*b**2 - 1 + 17*b**2 + 8*b + 21*b**2 to r*b**2 + s + z*b and give r. -2 Rearrange t - t**2 - 5*t**2 - 1 + 8*t**3 + 5*t**2 to the form i*t**3 + d*t**2 + v + p*t and give v. -1 Rearrange 7*f**4 + 3*f**4 - 1 + f - 6*f**4 + 4*f**2 to v*f**3 + q*f**4 + j + y*f + k*f**2 and give j. -1 Rearrange -677*v - 11*v**2 + 2*v**2 + 678*v to f*v**2 + m + g*v and give g. 1 Express -5*q - 1 + 3*q - q**3 + 6*q as j*q**2 + u + i*q**3 + x*q and give u. -1 Rearrange -l**3 + 4 + 6 - 6 - 6*l**2 - 1 to the form n*l**3 + b*l**2 + m + i*l and give m. 3 Rearrange (-30*h**3 - 9*h**3 - 40*h**3)*(-3 + 2*h + 3) to k*h**4 + p + t*h**2 + q*h + v*h**3 and give k. -158 Rearrange (-2*v + 2*v - 2*v)*(-12*v + 5*v - 9*v)*(1 + 3 - 2) to the form y*v**2 + t + x*v and give y. 64 Express -354 + b - 3*b**3 + 354 in the form v*b + x + c*b**2 + g*b**3 and give v. 1 Rearrange (-30*r**2 + r**3 + 30*r**2)*(11*r - 91 + 91) to the form x + v*r**3 + k*r + p*r**4 + h*r**2 and give p. 11 Express (-8 - 5*b**3 + 8)*(-2 + 0 - 10) in the form i*b**3 + p + k*b + n*b**2 and give i. 60 Express -2*k**3 + 31*k - 6 - 31*k as t*k**2 + l*k**3 + m + b*k and give l. -2 Express 2 + 2*m**2 - 4*m**4 + m**4 + 4*m**4 - m**3 in the form a*m + v + o*m**2 + t*m**3 + s*m**4 and give o. 2 Express -192 + 192 - 25*b**2 in the form r*b + n*b**2 + o and give n. -25 Express 71*w + 4*w**3 - 1 - 73*w - 2*w**3 in the form r + d*w**2 + p*w + h*w**3 and give p. -2 Express 49*c**2 + 55*c**2 + 11*c**2 as p*c**2 + l*c + h and give p. 115 Express (-4*y**2 - 5*y**2 + 0*y**2)*(-23 + 9*y + 23) as k*y + v*y**3 + j*y**2 + d and give v. -81 Express (-3 + 3 - i**2)*(-5*i + 0*i + 3*i)*(5 - 4 + 2) as l*i**3 + g + h*i**2 + c*i and give l. 6 Express -3*b**4 - 12*b**3 + 8*b**3 + b**2 + 12*b**3 - 2*b - 2 as z*b**4 + f + l*b + x*b**3 + t*b**2 and give l. -2 Express (-3*v - v + 0*v)*(-5 + 22 + 10)*(-2 + 4 - 1) as z*v + x and give x. 0 Rearrange -5*g - 2*g**2 - 23*g**2 + 5*g to the form k*g + c*g**2 + p and give p. 0 Express 3 + 6 - 10 - g**3 + 9*g in the form x*g**3 + j + q*g**2 + u*g and give q. 0 Rearrange 16*o + 3*o + 10*o**2 - 9*o**2 + o to the form q*o + u + a*o**2 and give q. 20 Express 2*y**3 - 5*y**3 + 2*y**2 + 2 + 9*y**3 + 2*y + 2*y**4 in the form z*y**3 + q*y**4 + p*y + a*y**2 + m and give m. 2 Express 11*r**4 + r**4 + 4*r**4 + (3*r**2 + r**2 - 3*r**2)*(-r - 2*r + 4*r)*(r + 3 - 3) as a*r**2 + x*r**3 + d*r + v*r**4 + q and give v. 17 Rearrange 14*a - 8*a + 7*a to the form n + l*a and give l. 13 Rearrange 0*n**2 - 19 + 2*n**2 + 6 + 10 to t*n + u + j*n**2 and give j. 2 Express 12*x + 25*x - 21*x as l*x + z and give l. 16 Express n**3 + 7 - 8 + 5 + n**3 in the form u + a*n + c*n**3 + b*n**2 and give u. 4 Rearrange (-q + 5 - 5)*((3 - 3 + q)*(0 - 4 + 3) + q - 3*q + 6*q) - 6
{ "pile_set_name": "DM Mathematics" }
32 What is 578 minutes before 4:02 AM? 6:24 PM What is 462 minutes after 5:48 PM? 1:30 AM What is 423 minutes before 7:18 PM? 12:15 PM What is 277 minutes before 1:06 AM? 8:29 PM How many minutes are there between 4:08 AM and 11:27 AM? 439 What is 564 minutes before 5:54 AM? 8:30 PM What is 473 minutes after 7:13 PM? 3:06 AM What is 6 minutes before 2:18 AM? 2:12 AM What is 399 minutes before 1:53 PM? 7:14 AM What is 628 minutes before 6:59 PM? 8:31 AM What is 507 minutes before 4:05 PM? 7:38 AM What is 117 minutes after 10:55 PM? 12:52 AM How many minutes are there between 8:19 PM and 9:51 PM? 92 How many minutes are there between 12:27 AM and 7:08 AM? 401 What is 62 minutes before 3:12 PM? 2:10 PM What is 473 minutes after 5:36 AM? 1:29 PM How many minutes are there between 8:31 AM and 6:43 PM? 612 How many minutes are there between 1:07 PM and 1:46 PM? 39 What is 296 minutes after 4:05 PM? 9:01 PM How many minutes are there between 5:11 AM and 6:27 AM? 76 How many minutes are there between 1:57 AM and 2:35 AM? 38 What is 599 minutes after 1:00 PM? 10:59 PM How many minutes are there between 1:54 AM and 12:04 PM? 610 How many minutes are there between 7:59 AM and 11:23 AM? 204 How many minutes are there between 5:28 AM and 2:20 PM? 532 What is 27 minutes after 9:53 AM? 10:20 AM How many minutes are there between 7:37 PM and 4:55 AM? 558 What is 581 minutes before 8:26 PM? 10:45 AM What is 618 minutes before 1:49 PM? 3:31 AM How many minutes are there between 12:25 PM and 4:22 PM? 237 What is 91 minutes before 8:07 PM? 6:36 PM What is 643 minutes after 5:07 PM? 3:50 AM What is 643 minutes before 4:01 PM? 5:18 AM What is 558 minutes after 10:24 PM? 7:42 AM What is 586 minutes before 8:16 PM? 10:30 AM How many minutes are there between 10:04 PM and 2:56 AM? 292 How many minutes are there between 12:53 AM and 9:20 AM? 507 How many minutes are there between 12:03 PM and 10:55 PM? 652 How many minutes are there between 6:19 PM and 8:26 PM? 127 What is 631 minutes before 4:16 AM? 5:45 PM What is 252 minutes after 2:40 AM? 6:52 AM How many minutes are there between 8:03 AM and 3:41 PM? 458 What is 410 minutes after 3:52 AM? 10:42 AM What is 474 minutes after 2:50 AM? 10:44 AM What is 371 minutes before 9:15 AM? 3:04 AM What is 255 minutes after 10:56 PM? 3:11 AM How many minutes are there between 4:44 AM and 4:23 PM? 699 How many minutes are there between 11:55 AM and 8:23 PM? 508 How many minutes are there between 8:34 PM and 3:46 AM? 432 How many minutes are there between 6:54 AM and 6:43 PM? 709 What is 467 minutes before 11:41 AM? 3:54 AM How many minutes are there between 7:32 PM and 7:52 PM? 20 How many minutes are there between 3:13 AM and 2:31 PM? 678 How many minutes are there between 4:09 PM and 5:16 PM? 67 What is 453 minutes before 11:20 PM? 3:47 PM How many minutes are there between 10:25 AM and 8:55 PM? 630 What is 636 minutes before 9:33 AM? 10:57 PM What is 458 minutes before 10:39 AM? 3:01 AM What is 264 minutes after 10:49 PM? 3:13 AM How many minutes are there between 7:33 PM and 7:01 AM? 688 What is 525 minutes after 8:45 PM? 5:30 AM How many minutes are there between 4:44 AM and 10:11 AM? 327 How many minutes are there between 10:32 PM and 10:46 PM? 14 What is 624 minutes after 12:44 AM? 11:08 AM How many minutes are there between 8:16 AM and 3:53 PM? 457 How many minutes are there between 4:14 AM and 4:09 PM? 715 How many minutes are there between 3:06 AM and 11:52 AM? 526 What is 591 minutes before 3:32 PM? 5:41 AM What is 398 minutes after 11:47 PM? 6:25 AM How many minutes are there between 5:42 PM and 12:52 AM? 430 What is 10 minutes before 6:53 AM? 6:43 AM How many minutes are there between 8:45 AM and 1:45 PM? 300 How many minutes are there between 12:52 PM and 1:33 PM? 41 What is 456 minutes before 9:12 PM? 1:36 PM What is 547 minutes after 8:11 AM? 5:18 PM How many minutes are there between 10:53 PM and 10:13 AM? 680 What is 611 minutes after 7:27 PM? 5:38 AM What is 323 minutes before 6:15 AM? 12:52 AM How many minutes are there between 8:25 AM and 9:55 AM? 90 How many minutes are there between 9:06 AM and 6:42 PM? 576 How many minutes are there between 3:17 AM and 5:25 AM? 128 What is 289 minutes before 9:17 PM? 4:28 PM How many minutes are there between 1:54 AM and 2:53 AM? 59 What is 592 minutes before 12:32 AM? 2:40 PM What is 155 minutes before 5:28 AM? 2:53 AM How many minutes are there between 12:07 PM and 12:57 PM? 50 How many minutes are there between 7:12 PM and 12:07 AM? 295 What is 388 minutes after 8:49 AM? 3:17 PM How many minutes are there between 5:19 AM and 7:57 AM? 158 What is 669 minutes after 4:58 AM? 4:07 PM What is 570 minutes before 4:28 AM? 6:58 PM How many minutes are there between 3:50 AM and 1:35 PM? 585 How many minutes are there between 11:30 AM and 12:46 PM? 76 What is 428 minutes before 1:33 PM? 6:25 AM What is 665 minutes after 1:53 PM? 12:58 AM What is 327 minutes before 8:35 PM? 3:08 PM What is 547 minutes after 8:32 AM? 5:39 PM What is 691 minutes before 7:45 PM? 8:14 AM How many minutes are there between 10:20 PM and 8:37 AM? 617 How many minutes are there between 7:10 PM and 1:23 AM? 373 How many minutes are there between 3:38 AM and 3:37 PM? 719 How many minutes are there between 1:06 AM and 7:31 AM? 385 How many minutes are there between 4:47 PM and 1:53 AM? 546 What is 677 minutes after 1:32 PM? 12:49 AM What is 669 minutes before 1:29 PM? 2:20 AM How many minutes are there between 9:53 PM and 7:52 AM? 599 How many minutes are there between 1:35 PM and 11:17 PM? 582 What is 344 minutes after 12:21 AM? 6:05 AM How many minutes are there between 1:54 AM and 9:54 AM? 480 What is 524 minutes before 4:42 PM? 7:58 AM What is 576 minutes after 4:05 PM? 1:41 AM How many minutes are there between 7:31 AM and 12:34 PM? 303 How many minutes are there between 5:03 AM and 4:45 PM? 702 What is 243 minutes before 10:21 PM? 6:18 PM What is 553 minutes after 10:38 PM? 7:51 AM How many minutes are there between 2:06 AM and 2:58 AM? 52 What is 160 minutes after 5:44 PM
{ "pile_set_name": "DM Mathematics" }
arest to 1/2? (a) -35 (b) -6277 (c) -6 c Which is the nearest to 5/6? (a) -0.01 (b) -3/2 (c) -835990 a Which is the nearest to -141? (a) -28 (b) -0.3 (c) 0.5 (d) 1.54 a Which is the nearest to 43? (a) 2.8 (b) 0.2 (c) 0.4 (d) -27 a Which is the nearest to -6? (a) 0 (b) 0.2 (c) -0.5 (d) -4 (e) -0.0018 d Which is the nearest to 0? (a) -4 (b) 9 (c) 0.2 (d) -1/11 (e) 2/61 (f) 12593 e What is the closest to 16/5 in -1/172, 8, -4, 4? 4 Which is the nearest to 1/27? (a) -2/15 (b) 1 (c) 4/21 (d) 2/51 d Which is the closest to -180.9? (a) -36 (b) -5 (c) -92 c What is the closest to -13 in -21, -44, -0.05, -1/2, -0.15? -21 What is the nearest to -0.175779 in 1/6, -0.1, 3/2? -0.1 Which is the closest to 8? (a) -10.8 (b) 0.61 (c) 16 b What is the nearest to 38 in 2, -26/15, 0.2, 3? 3 What is the nearest to -2 in 1/3, 3, -4, 4, -0.6025, -2/19? -0.6025 Which is the closest to -2/7? (a) -6316.5 (b) 45/4 (c) 0.1 c What is the closest to 4 in 0.2, -558, 74.9, -1, -0.3? 0.2 Which is the closest to 8? (a) -725144 (b) -0.1 (c) 0 c What is the nearest to -1 in -106728, -0.54, -0.4? -0.54 What is the nearest to 134 in 1/43059, -0.1, -0.2? 1/43059 Which is the closest to 1? (a) -0.841 (b) 2/9 (c) -2/219 (d) -0.1 b Which is the closest to -0.3? (a) 565418 (b) -3 (c) 42/11 b What is the nearest to 1/4 in -4, 40/449, 29? 40/449 What is the nearest to -3/7 in 0, 1, 1/2, -3/61, -166/9? -3/61 Which is the closest to 2/7? (a) -0.3 (b) 5/67 (c) 31 (d) 2.3 (e) -2/13 b What is the nearest to 0.8 in 2/217, -0.3, -4, -2.5, 4, -99? 2/217 What is the closest to 0.8 in -0.5, 0.04, 2/9, 33, -279, 0.5? 0.5 What is the nearest to -0.46 in -1/71, 1/5, -4/3, -3, -4? -1/71 Which is the nearest to -2/293? (a) -4 (b) 0.4 (c) 3/14 (d) -261/2 c Which is the closest to -997? (a) -0.7 (b) -1 (c) 6 (d) -4/5 (e) 0.1 b What is the nearest to 13 in -0.07, 22, 0.2, 75/2? 22 Which is the closest to 2/3? (a) -16 (b) -233/44 (c) 0 (d) -3 c Which is the closest to -1.86? (a) -0.5 (b) 4 (c) 0 (d) -3/37 (e) 0.067 a Which is the nearest to 4/1193? (a) -0.3 (b) -0.5 (c) -230 a What is the closest to -1.6 in -1/2, -2, -4, 54, -11? -2 Which is the closest to 1? (a) -0.3 (b) -5/13 (c) 195 (d) 1/2 (e) 0.9 e Which is the closest to -57.2? (a) 1137 (b) -0.5 (c) 0.03 b What is the nearest to 32 in -1/10, -1.27, 0.09, 2/11, 4? 4 What is the closest to 45 in -332, 5, 2, 1/6, -1/2? 5 Which is the nearest to 0.1? (a) -1/5 (b) -6152 (c) 8/5 a What is the nearest to -0.13 in -1/7246, -8, 0.4? -1/7246 Which is the closest to -29.4? (a) 34/3 (b) 4/45 (c) 3/8 (d) -0.5 (e) 1 d Which is the closest to -3? (a) 55 (b) 0.54 (c) 664 b Which is the closest to 0.2? (a) -4 (b) -7 (c) 5 (d) -0.5472 (e) 55 d What is the nearest to 1/2 in 3277, -4/23, -0.6, -12? -4/23 What is the nearest to -4/31 in -3, -47, -11/65, -2? -11/65 What is the closest to -10 in 0.15, 730, -0.5, 3? -0.5 Which is the nearest to -0.0408? (a) -1856 (b) -48 (c) 4 c What is the nearest to 56/15 in 299.4, 1/6, -0.1? 1/6 What is the nearest to 74.7 in -12830, 5, -6? 5 Which is the closest to 0.6226? (a) -12 (b) 5 (c) 2/29 (d) 0.2 (e) 0.1 d Which is the closest to -2/7? (a) -4707 (b) 825 (c) -0.3 c What is the nearest to 0 in 7, 3, -485/8, 0, 1? 0 Which is the closest to 1? (a) -3 (b) 10 (c) 42 (d) -1171 (e) 0 e Which is the closest to 2/5? (a) 17 (b) -0.03 (c) -3018 (d) -2 (e) 1/5 e Which is the nearest to 2/135? (a) 2 (b) 0.2 (c) 0.3 (d) 676 b What is the nearest to -33 in -4, -84/43, 1/2, -26? -26 Which is the nearest to -0.062? (a) 0 (b) -0.1 (c) 12514 (d) 1/5 (e) 4 b What is the closest to -11 in 128, 13/2, 0.1, 2/7, 1/5, 1/2? 0.1 Which is the closest to 2? (a) -5/4 (b) 2/21 (c) -0.4 (d) -1 (e) 12 (f) 2/5 f Which is
{ "pile_set_name": "DM Mathematics" }
g + 15. Let t be v(-4). Is m(t) a composite number? True Suppose 59*n - 3*f = 55*n + 21071, -4*n + 5*f + 21057 = 0. Is n prime? True Suppose 6 = -5*g + 7*g. Suppose 5*m + 2*d = 2462 - 757, -m = -g*d - 324. Let k = m - 44. Is k composite? True Let n be (-6 - 18/(-6))/((-6)/(-16)). Let m = n - -13. Suppose -3*p = -h + 550, m*p + 2207 = 3*h + h. Is h a prime number? False Suppose 3*r - 95 = -4*y, 3*y + 4*r + 45 - 118 = 0. Let o = -23 + y. Suppose o = -n + k - 2*k + 49, 3*n - 3*k = 129. Is n composite? True Suppose -1756*r = -1739*r + 204. Let z be 0 - 1810/(-2) - -2. Is z*(r/(-3))/4 a composite number? False Let o = -303 - -308. Suppose -3*b = 2*u - 1762, o*u - b - 3686 = 753. Is u prime? True Let l(g) = 97*g**3 + 31*g**2 - 31*g - 25. Is l(16) composite? True Let y = 39933 - -4263. Suppose 0 = -13*o + 25*o - y. Is o composite? True Let f(n) be the third derivative of 5*n**4/3 - 23*n**3/6 + 19*n**2. Let u = -59 - -64. Is f(u) composite? True Suppose 0 = -10*l + 20*l + 80. Is 12514/((-1)/2 + (-20)/l) a prime number? True Suppose 0 = 3*h - 5905 - 4064. Suppose -8*m + h + 4341 = 0. Is m composite? True Let i(v) = 34*v - 13 - 19*v - 68*v - 67*v. Let j(p) = p**2 + 9*p + 2. Let c be j(-8). Is i(c) a prime number? False Suppose 4*a = -5*s + 25575 + 1441, -2*s = -8. Let l = 11230 - a. Is l prime? True Let i = 5 + -1. Suppose a + i = 3*a. Let h(c) = 288*c - 11. Is h(a) a composite number? True Suppose 36 = -4*p - 2*p. Let q be -1 + 0/(-2) - p. Is q*(-3 - 497/(-5)) prime? False Let q(i) = -2*i. Let v be q(-2). Let m(f) = 106*f - 184. Let t be m(2). Is (-2)/v + 15778/t prime? True Let d(a) = 12581*a**3 - 2*a + 3. Let j be d(1). Let n = j - 8621. Is n a prime number? False Let m be 24/9 + (1 - 25/15). Suppose -b + 9754 = 3*b + m*c, 4*c + 2425 = b. Is b a composite number? False Let v(k) = -17*k + 292. Let f be v(17). Suppose -u = -f*c + 11948, -17809 = -5*c + 2*u + 2104. Is c a composite number? True Is ((-2830950)/63 + -1 + 2)/(90/(-630)) a prime number? True Let t(d) be the second derivative of d**4/4 + 5*d**3/2 - 25*d**2/2 + 11*d. Suppose -21 = -4*y + 27. Is t(y) a composite number? False Suppose 74*n = 802787 + 555335. Is n a composite number? False Let n = 13141 + -8336. Let v = -114 + n. Is v a prime number? True Let d(a) = 0 + 10 + 11*a + 2*a**2 + 0. Let v be (6 + 160/(-5))/(-2). Is d(v) a prime number? True Is ((-1)/14 - (-415740)/42)*92/6 a prime number? False Suppose 0 = -5*u + 5*b + 1488 + 2267, -b - 3 = 0. Suppose u = y - 2745. Is y composite? True Let r = -22 + 24. Let y = 91 - 142. Is r*y*(-46)/12 prime? False Suppose -8*o = -6*o - 2*j - 14, -2*o = j - 5. Suppose -p + o = -1. Suppose -4*w + 4*d = -p*w + 6135, -2*w + 12278 = 4*d. Is w a prime number? True Let t = -3 + -16. Let w = t - -22. Suppose 3*a = 2*h + 754, 5*h - 351 = w*a - 1093. Is a composite? True Let o(t) = -8*t - 2 - 7*t - 78*t**2 + 13*t. Let l be o(-1). Let d = l + 525. Is d a prime number? False Suppose 5*t = -2*z + 364417 + 255584, -4*t - 4*z + 495996 = 0. Is t prime? True Let s(q) = 118*q - 9. Suppose -4*m - 12 - 12 = 0. Let z be s(m). Let w = z - -1300. Is w prime? False Let d = 124322 - 66909. Is d a prime number? True Suppose -81542 = -2*d + 5*f, -d - 5*f = -17792 - 22979. Is d a prime number? True Let m = -81 - -81. Suppose -9*f + 3934 + 935 = m. Is f a prime number? True Suppose 2190 = 15*w - 1500. Is (-3794591)/w*-3*2 a prime number? True Let s = -323 - -323. Is (-31101)/(0 + -7) - s a composite number? True Suppose -14802 - 29322 = -6*u. Suppose -9376 = -10*v + u. Is v composite? True Suppose -28*z = 12*z - 12498040. Is z prime? True Let f(o) = o**3 - 5*o**2 - 6*o - 9. Let t be f(4). Let h be 9/1 + -3 + 1. Is (-2)/h - 6237/t prime? True Suppose -2983992 = -40*h + 7*h. Suppose 12*u + h = 20*u. Is u a prime number? False Let h(v) = -8*v + 12. Let y(x) = -7*x + 13. Let k(n) = -3*h(n) + 4*y(n). Let b be k(4). Suppose -17*w + 14*w + 1545 = b. Is w prime? False Suppose -1454*h = -1482*h + 38108. Is h a prime number? True Is ((-13985530)/91)/((-70)/245) a composite number? True Let p(s) = -3 - 26328*s**3 - 3*s**2 + 12 + 0 - 4 - s - 4. Is p(-1) a prime number? False Suppose -4*b = -5*p + 4, -p - 9 = -5*b - 35. Let z(m) be the third derivative of -m**6/120 + m**5/12 - 3*m**4/8 - 7*m**3/6 + 1889*m**2. Is z(b) prime? True Suppose 2*i - 74214 = 4*n, -14032 + 88211 = 2*i + 3*n. Is i composite? False Suppose -263*f - 24662102 = -98329980. Is f a composite number? True Suppose -2*o + 32 + 66 = 0. Let k = o - 46. Suppose 1279 + 8214 = k*s - 2*q, 12660 = 4*s - 4*q. Is s a prime number?
{ "pile_set_name": "DM Mathematics" }
196. Let t be 435/44 + 1/4. Let u = t + w. What is the common denominator of u and -43/4? 4 Let q = -13/107 - -4277/856. Calculate the common denominator of 53/4 and q. 8 Suppose -26 - 62 = -4*w. What is the common denominator of -55/189 and w? 189 What is the common denominator of -5 and (-1)/4 + -106*3/48? 8 Calculate the lowest common multiple of 1/(-2)*-4*7 and 6. 42 Let l = 10 - 16. Let s = 39/11 - 489/110. Calculate the common denominator of 44/l + (-1 - -2) and s. 30 Let f be (-6)/(-9) + (-658385)/66. Let b = 9970 + f. Find the common denominator of b and 151/12. 132 Let v = 77087/14 + -5510. What is the common denominator of v and 4 + 212/(-24) + 4? 42 Suppose 39*q - 45 = 36*q. Calculate the lowest common multiple of q and 12. 60 Let x = -16 + 26. What is the smallest common multiple of x and 4? 20 Suppose d = 3, 4*y - 3*d + 4 - 19 = 0. Suppose -8 = -2*b - 2*b. Suppose b*c - 1 = c. Calculate the lowest common multiple of c and y. 6 Suppose 2*c + 5*y + 34 = 4*c, 58 = 4*c - 5*y. Calculate the least common multiple of c and 2. 12 Suppose d - 11 + 0 = 3*z, 4*d + 2*z = 44. What is the smallest common multiple of 1 and d? 11 Let s(f) = f + 19. Calculate the least common multiple of 24 and s(2). 168 Let z(j) = -35*j + 8. Let w be z(-4). Let u be ((-16)/10)/((-3)/15). Find the common denominator of -19/8 and w/u*(-8)/(-6). 24 Let r(d) = d**3 - 12*d**2 + 2*d - 13. What is the lowest common multiple of 7 and r(12)? 77 Let c = 76/35 - 88/7. Let d = 2354/3 + -774. What is the common denominator of c and d? 15 Let o = -595/4 - -148. Calculate the common denominator of o and -95/16. 16 Let j = -14 + 11. Find the common denominator of (j/(-8))/((-21)/(-172)) and -79/6. 42 Let o = 21/68 - 2553/340. What is the common denominator of 53/9 and o? 45 Let v = -44337 + 84765/2. Let h = 2003 + v. Find the common denominator of h and 22/(-6)*(-6)/(-8). 4 Calculate the least common multiple of 110 and 11 + ((-2)/(1 - -1))/1. 110 Let h = -5015864 - -50199043/10. Let f = -4031 + h. Find the common denominator of f and 105/22. 110 Let s(c) = -3*c - 8. Let y = -19 - -11. What is the lowest common multiple of 8 and s(y)? 16 Let t be (-12)/(-2) + 3 + -6. Suppose 5*b = 2*n - 15 + 4, 0 = t*n + 5*b - 4. Let a = -3 + 10. What is the lowest common multiple of a and n? 21 Suppose 3*x - 12 = -3*z, 5*z + 2*x - 2 - 30 = 0. What is the common denominator of 75/16 and 412/z - (1 - 0)? 16 Let m = 1/1376 - 40593/1376. Calculate the common denominator of m and 107/42. 42 Let p = 63 - 7. Suppose -2*a - 5*w = -p, 3*w - 174 = -5*a - w. Calculate the common denominator of -22/9 and a. 9 Let r = 12/43 - 1443/86. Let g = 95849/12 + -7981. Find the common denominator of g and r. 12 Let v = 15 + -5. Calculate the least common multiple of (-3 + -7)*(-12)/15 and v. 40 Let x = 173 + -43. What is the common denominator of -55/2 and x/112 - (-16)/(-56)? 8 Let a = 16 - -24. What is the smallest common multiple of a and 8? 40 What is the common denominator of 26/(-10)*(5 - 8) and 21? 5 What is the common denominator of 29/6 and 1 - -2 - 3/144*-106? 24 Let x = 609/2 + -353. Find the common denominator of (-6)/27 - (-341)/36 and x. 4 Let y(k) = -k**3 - 2*k**2 + 14*k - 17. Calculate the least common multiple of y(-7) and 14. 910 Let h be 2/(-4) + (-45)/2. Let t = h - -41. Calculate the smallest common multiple of t and 18. 18 Let q be (-353)/(-13) + (-2)/13. What is the smallest common multiple of q/(-6)*(-24)/9 and 16? 48 What is the least common multiple of 325/20 + -4 + (-2)/8 and 27? 108 Suppose -2*o = o - 108. Let f(l) = -l**3 + 9*l**2 - 2*l + 13. Let x be f(9). Calculate the common denominator of 11/2 and (-6)/o*33/x. 10 Let v be 3/2*(-160)/(-5). Calculate the common denominator of 1 + 165/v - 1 and (-21)/(-12)*1/(-5). 80 Let d(i) be the third derivative of 1/24*i**4 + 0*i + 1/6*i**3 + 2*i**2 + 0. Calculate the smallest common multiple of 8 and d(3). 8 Let b(o) = -4*o - 9. What is the smallest common multiple of b(-4) and 5? 35 Suppose 0 = -3*v + 2*v - 2. Calculate the lowest common multiple of 12/(-9)*27/v and 22. 198 Let v be 2 - 0/(-2 + 4). Let b be 1 + 1*(0 - -1). Find the common denominator of (b - v) + 237/66 and 85/18. 198 Calculate the common denominator of 95/18 and (-2180)/(-112) + (-4)/(-14). 36 Let l = -11 + 33. What is the lowest common multiple of l and 6? 66 Let t = 3 - 13. Let l = -2 - t. Calculate the lowest common multiple of l and 15/(-3) - (4 - 29). 40 Let l = -26 + 48. Calculate the least common multiple of 14 and l. 154 Suppose -5*d + 2*r = -2*r - 40, d + 11 = -3*r. Let b = 1103/20 + -93/20. What is the common denominator of (57/(-36))/((-2)/d) and b? 6 Let c(d) = 32 - 18 - 6*d + 0*d**2 + d**2. Calculate the lowest common multiple of 6 and c(4). 6 Suppose -2*k - 3*z + 52 = 0, 2*z + 48 = 5*k - 44. Let p = -16 - -32. Calculate the smallest common multiple of p and k. 80 Let n = 16 + -8. Let k = 12 + -10. Suppose -k*x = 3*x - 80. What is the smallest common multiple of x and n? 16 Find the common denominator of 6/(-4) - 1/10 and 93/10. 10 Let s = 230 - 425. Calculate the lowest common multiple of s/(-21) + 4/(-14) and 4. 36 Let x = 11/18 + -91/9. Calculate the common denominator of x and 5/11. 22 Let p(u) = u**2 - 5*u + 3. Let g be p(5). Suppose 0 = 4*w + 4*t - 20, 5 = 2*t - 1. Calculate the least common multiple of 11 and 6 - (w + 1)/g. 55 What is the common denominator of -9 + 11 + (-57)/(-4) and -89/10? 20 Let l = 1041/23 - 22683/460. Find the common denominator of (2 + 267/6)/(-4) and l. 40 Let v = -
{ "pile_set_name": "DM Mathematics" }