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3*z(j)? -j + 1 Let a(w) = -33*w - 3. Let x(m) = -31*m - 3. Calculate -3*a(r) + 4*x(r). -25*r - 3 Let n(d) = -622 - 3*d + d**2 + 4*d + 319 + 304. Let a(r) = -r**3 - 2*r - 1. Suppose -4*g = x + x + 12, 0 = -5*x - g - 12. Determine x*a(s) - 2*n(s). 2*s**3 - 2*s**2 + 2*s Let d(c) = -c**3 + c + 2. Let w(l) = -4*l**3 - 91*l + 10. Determine -5*d(v) + w(v). v**3 - 96*v Let q(s) = 5*s**3 + s**2 + 3. Let i(b) = -2*b - 14. Suppose 36 = -v - 3*v. Let o be i(v). Let c(u) = -u**3 - 1. What is o*c(a) + q(a)? a**3 + a**2 - 1 Let f(b) = -15598*b - 484. Let h(u) = 390*u + 12. Calculate 6*f(t) + 242*h(t). 792*t Let l(t) = 9*t**2 - 13*t - 3. Suppose 2 = 4*o + 3*j - 0*j, -o = j. Let m(y) = 34 + 38 - 70 - 6*y**o + 9*y. Give 5*l(b) + 7*m(b). 3*b**2 - 2*b - 1 Let f = 132 - 129. Let q(j) = j**3 + 1. Let z(x) = -x**3. What is f*z(p) + q(p)? -2*p**3 + 1 Let n(a) = 205059*a**2 - 957*a - 957. Let c(g) = 429*g**2 - 2*g - 2. Give -957*c(q) + 2*n(q). -435*q**2 Let q(m) be the second derivative of 3*m**4/4 + 5*m**3/6 - 2*m**2 - 125*m. Let o(l) = 5*l**2 + 3*l - 2. Calculate -5*o(p) + 3*q(p). 2*p**2 - 2 Let g(y) = -2*y**3 + 2. Let o(x) be the third derivative of -x**6/120 - x**3/6 - 69*x**2. Calculate -2*g(d) - 4*o(d). 8*d**3 Let w(n) = 15*n**3 + 10*n**2 - 54*n. Let f(l) = 13*l**3 + 8*l**2 - 53*l. Determine 6*f(z) - 5*w(z). 3*z**3 - 2*z**2 - 48*z Let w(i) = 5*i**3 + 2*i**2 + 3*i - 2. Let s(u) = -u**3 - u + 1. Give 3*s(d) + w(d). 2*d**3 + 2*d**2 + 1 Let a(i) = 5*i**3 + 7*i - 8. Let r = -282 + 283. Let t(s) = -1 + 5*s**3 - 4*s**3 + s + 0. Determine r*a(y) - 6*t(y). -y**3 + y - 2 Let y(r) = 2*r - 4. Let v(h) = -2*h + 5. Let b be 5 + (17 - -1)/(-1). Let c(a) = a**3 + 14*a**2 + 12*a - 6. Let i be c(b). Give i*y(f) + 6*v(f). 2*f + 2 Let f(v) = -v**3 + v. Let l(n) = -10*n**3 - 4*n - 17. Determine -4*f(p) - l(p). 14*p**3 + 17 Let h(x) = -x + 3. Let f(o) = -9*o + 8. Let y(p) = 8*p - 8. Let w(v) = 4*f(v) + 5*y(v). What is 10*h(t) + 3*w(t)? 2*t + 6 Let d = -1073 - -1078. Let o(b) = 40*b. Let j(k) = 27*k. Determine d*o(p) - 7*j(p). 11*p Let z(o) = 345*o + 2. Let l(s) = -115*s - 1. What is -8*l(y) - 3*z(y)? -115*y + 2 Let t(n) = -9*n + 24. Let a be t(3). Let v(s) = 4*s**3 - 2*s**2 + 3*s + 1. Let j(u) = 5*u**3 - 3*u**2 + 4*u + 1. Give a*v(p) + 2*j(p). -2*p**3 - p - 1 Let c(a) = -a. Let x(l) = 6*l - 5. Suppose 9*s - 4*s = -25. Give s*c(g) - x(g). -g + 5 Let i(x) = x**2 + 2*x. Let o(z) = z**2 - 12*z + 6. Let k(w) = -4*i(w) - o(w). Let d(y) = 4*y**2 - 3*y + 5. Give 4*d(u) + 3*k(u). u**2 + 2 Let x(n) = -n**2. Let f(m) = -4*m**2 + 50*m + 2. Give f(g) - 5*x(g). g**2 + 50*g + 2 Let h(v) = -16*v**3 + 5*v**2 + 4. Let l(p) = 31*p**3 - 12*p**2 - 9. Determine 5*h(y) + 2*l(y). -18*y**3 + y**2 + 2 Let g be 6/27 + 40/(-18). Let q(x) = x. Let p(b) = 1 - 11 + 4*b + 8 + 1. What is g*q(s) + p(s)? 2*s - 1 Let x(p) = -p**2 + 20*p + 2. Let k(v) = v**2 + 2*v + 1. Give 2*k(t) - x(t). 3*t**2 - 16*t Let p(n) = 2*n + 6. Let o(y) be the second derivative of 0 + 28*y + 3/2*y**2 + 1/6*y**3. Give 5*o(w) - 2*p(w). w + 3 Let c(k) be the first derivative of 55*k**4/4 + 11*k**3/3 + 11*k**2/2 - 980. Let w(s) = -11*s**3 - 2*s**2 - 2*s. Determine 2*c(z) + 11*w(z). -11*z**3 Let c(t) = 15265*t**2 + 430. Let l(a) = 212*a**2 + 6. Give 3*c(z) - 215*l(z). 215*z**2 Let f(q) = -q. Let u(x) = 2*x - 1 - 10 + 12. Give 14*f(y) + 6*u(y). -2*y + 6 Let w(k) = -9*k**2 + 3*k - 1. Let g(d) = 38*d**2 - 12*d + 4. What is 2*g(q) + 9*w(q)? -5*q**2 + 3*q - 1 Let b(v) = -2*v. Let p(h) = 10*h + 11. Calculate 6*b(k) + p(k). -2*k + 11 Let i = 59 + -60. Let a be (4 + -1)*-1 - -6. Let z(b) = 0*b - 2*b + 1 + a*b. Let d(q) = -3. Calculate i*d(c) - 2*z(c). -2*c + 1 Suppose 3*u = -4 - 20. Let i(c) = -18*c + 8. Let v(p) = 6*p - 3. Calculate u*v(s) - 3*i(s). 6*s Let r(h) be the third derivative of -7*h**4/8 - 5*h**3/2 + 472*h**2. Let n(v) = 5*v + 4. Determine -15*n(m) - 4*r(m). 9*m Let l(f) = 11*f**2 - 95*f - 28. Let r(d) = -6*d**2 + 48*d + 15. Give 4*l(t) + 7*r(t). 2*t**2 - 44*t - 7 Let s(g) = g**3 - 1. Let z(i) = -24*i**3 + i**2 + 3. Determine -2*s(w) - z(w). 22*w**3 - w**2 - 1 Let z(d) = -d**2 - d - 3. Let g(i) = -3*i**2 + 43*i + 10. What is g(l) + 3*z(l)? -6*l**2 + 40*l + 1 Let d(j) = -284*j**2 + 11*j - 6. Let y(h) = h**2 - 2*h + 1. Give d(o) + 5*y(o). -279*o**2 + o - 1 Let t(v) = v + 5*v**3 - 10*v + 3*v. Let p(h) = 3*h**3 + h. Let k(x) = -4*x**3 - 2*x. Let i(r) = -2*k(r) - 3*p(r). Determine 6*i(d) + t(d). -d**3 Let b = 2 + 4. Let f(p) = 2*p**2 - 7. Let z be ((175/10)/5)/(17/(-34)). Let q(l) = 2*l**2 - 6. Calculate b*f(w) + z*q(w). -2*w**2 Let p(w) = -3*w**3 - 10*w**2 - 805*w. Let t(u) = 5*u**3 + 16*u**2 + 1207*u. Calculate -8*p(l) - 5*t(l). -l**3 + 405*l Let g(x) = 9*x**2 + x - 1. Let m(k) be the first derivative of 4*k**3/3 - 240. What is 2*g(i) - 5*m(i)? -2*i**2 + 2*i - 2 Let j(o) = -o**3 - o + 1. Let n(b) = 5*b**2 + 11*b - 11. Let t be n(1). Let g(c) = -10*c**3 - 5*c + 5. Determine t*j(m) - g(m). 5*m**3 Let w(g) = -g + 1. Let z(r) = r - 1. Let m(f) = 4*f + 58. Let y be m(-14). Let h be (-1)/2*-4 - 1. Calculate h*w(t) + y*z(t). t - 1 Let d(z) = 13*z**2 - 49*z - 49. Let p(g) = -8*g**2 + 33*g + 32. What is 5*d(x) + 8*p(x)? x**2 + 19*x + 11 Suppose 0 = 5*m - 6 - 44. Let a(r) = 7*r**2 + 7*r + 5. Suppose 0 = -23*i + 24*i + z, -16 = -i + 3*z. Let v(w) = -3*w**2 - 3*w - 2. What is i*a(o) + m*v(o)? -2*o**2 - 2*o Let v(s) = s**2 + s - 2. Let l(c) = 4*c**2 - c - 9. Let d(w) = -l(w) + 3*v(w). Let p(k) = 6*k**2 - 21*k - 16. Give 11*d(r) + 2*p(r). r**2 + 2*r + 1 Let q(a) = a**3 - 2*a**2 - 3*a + 1. Let r be 32/14 + 8/(-28). Let g(k) = -11*k**r + 6 - 12*k - 12*k**3 - 4*k - 21*k**3 + 38*k**3. Give 4*g(i) - 22*q(i). -2*i**3 + 2*i + 2 Let v(j) = 7*j**3 - 6*j**2 + 6*j - 6. Let l(d) = -13*d**3 + 13*d**2 - 13*d + 13. Suppose -128 = 24*w + 184. Determine w*v(b) - 6*l(b). -13*b**3 Let h(m) = -5*m**2 + 5*m - 1. Let t(k) = 10*k**2 - 11*k + 3. What is 9*h(y) + 4*t(y)? -5*y**2 + y + 3 Let s(j) = 64 - 34 - 32. Suppose -64 = 4*k + 5*h, 2*h = -3*k + 5*h - 21. Let t(g) = g + 11. Determine k*s(p) - 2*t(p). -2*p Let v(g) = 2*g**2 - 2*g - 2. Let r = -1522 - -1520. Suppose 4*x - 2*b = -3*b - 39, x + b = -12. Let y(i) = -i**3 - 9*i**2 + 9*i + 9. Determine r*y(o) + x*v(o). 2*o**3 Let i(s) = s + 1. Let o(m) = 3*m + 31683 + 4*m - 31679. Determine -2*i(h) + o(h). 5*h + 2 Suppose -24*i - 1012 = 68*i. Let y(b) = 4*b**3 + 11*b**2 - 2*b - 11. Let k(n) = 2*n**3 + 6*n**2 - n - 6. What is i*k(v) + 6*y(v)? 2*v**3 - v Let x(y) = -y**3 - 3*y**2 - 3. Suppose 111*b - 44 = -4*t + 107*b, -2*t - 3*b = -27. Let v(n) = -n**3 - 4*n**2 - 4. What is t*x(g) - 5*v(g)? -g**3 + 2*g**2 + 2 Let l(g) = 7*g**2 + 14*g + 4. Let j(c) = 3*c**2 + 6*c + 2. What is 9*j(q) - 4*l(q)? -q**2 - 2*q + 2 Let k(p) = -32*p**2 - 12*p - 24. Let i(z) = -z**2 - z - 2. Calculate -60*i(b) + 5*k(b). -100*b**2 Suppose -2*a - 4*x = 20, 2*a - 1 + 21 = -3*x. Let k(s) = 18*s**2. Let q(b) = 6*b**2. Determine a*q(i) + 3*k(i). -6*i**2 Let a(l) = -l - 2. Let c(d) = -182*d - 416. Determine 1040*a(i) - 5*c(i). -130*i Let v(g) = 47*g - 13. Let t(n) = 47*n - 9. Determine 3*t(o) - 2*v(o). 47*o - 1 Let z(i) = -82650*i + 570. Let h(t) = 582*t - 4. Calculate -285*h(a) - 2*z(a). -570*a Let t(x) = -x**2 + 277*x - 5. Let y(d) = d**2 - 276*d + 4. What is -4*t(v) - 5*y(v)? -v**2 + 272*v Let d(g) = -155*g**2 + 2*g + 4. Let j(w) = 156*w**2 - 2*w - 5. Give 5*d(s) + 4*j(s). -151*s**2 + 2*s Let q(u) = -2*u - 13. Let p(n) = n + 4. Determine -14*p(i) - 4*q(i). -6*i - 4 Let w(p) = 2*p**2 + 10*p + 4. Let a(o) = -3*o**2 - 18*o - 9. Calculate 6*a(j) + 11*w(j). 4*j**2 + 2*j - 10 Let a(u) = 4*u**2 - 13*u + 7. Let m be 175/(-7) + 11 + -1 + 4. Let z(r) = -2*r**2 + 7*r - 4. Calculate m*z(v) - 6*a(v). -2*v**2 + v + 2 Let j(a) be the first derivative of -1/2*a**2 - 10*a + 1. Let r be j(-6). Let k(w) = 6*w**3 - 16*w + 16. Let h(o) = o**3 - 3*o + 3. What is r*k(y) + 22*h(y)? -2*y**3 - 2*y + 2 Let a(r) = -3*r + 28. Let y(m) = -m + 9. Determine 3*a(q) - 8*y(q). -q + 12 Let g(u) = 64*u**3 - 3*u**2 - 3*u + 3. Let s(y) = y**3 + y**2 + y - 1. Calculate 2*g(f) + 6*s(f). 134*f**3 Let v(q) = -4*q**3 - 14*q**2 + 5*q + 6. Let z(w) = 2*w**2. Let b(x) = v(x) + 5*z(x). Let m(l) = 5*l**3 + 4*l**2 - 6*l - 7. Calculate -6*b(h) - 5*m(h). -h**3 + 4*h**2 - 1 Let w(n) = 13*n + 7. Let c(b) = -12*b - 8.
{ "pile_set_name": "DM Mathematics" }
. Let y = 31 - 28. Is (d/3)/(-1)*y prime? False Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime? True Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime? False Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number? True Let y = 54 - 28. Is y a prime number? False Let d(n) = -371*n**3 + n**2 + 2*n + 1. Is d(-1) prime? False Is 76/(-6)*(-27)/18 a prime number? True Let f = -240 + 385. Is f composite? True Is ((-67)/2)/(7/(-14)) composite? False Suppose 7525 = 3*v + 2*v. Suppose 0 = -a - 4*a + v. Is a a composite number? True Let z(y) = 15*y**2 - 8*y - 6. Is z(-5) composite? False Let k = 205 - 135. Suppose -z - 3*i = -k, -2*z - 4*i + 146 = -0*z. Is z composite? False Suppose -9*l = -505 - 746. Is l prime? True Suppose -2*b - 3*b + 3*i = -1006, 0 = -5*b - i + 1018. Is b composite? True Let j(s) = s**2 + 8*s + 7. Let o be j(-7). Let l(h) = h**3 + h**2 + 41. Let c be l(o). Suppose -29 = -2*n + c. Is n composite? True Let f(x) = -x**2 - 8*x - 4. Let s be f(-8). Is 2 - (-161 - s/2) a composite number? True Let h(z) = 2*z**2 - 2*z - 1. Let n be h(-2). Let r = -4 + n. Is r a composite number? False Suppose 4*p = -297 + 1717. Is p a composite number? True Suppose -2*x = -2*g - 580, -4*x + g = -0*x - 1169. Is x prime? True Suppose 5*p - 39825 = -0*p. Suppose 4*b - p - 2823 = 0. Is b/39 - 4/26 a prime number? False Suppose 3*z = 9 - 0. Suppose -3 + 42 = z*d + 2*t, 48 = 3*d - t. Is d prime? False Let r be (-9)/2*52/(-3). Let v = 127 - r. Is v composite? True Suppose 3*x + 429 = 3*y, -y + 6*y + x - 715 = 0. Is y composite? True Suppose -n = -27 - 6. Suppose -s = -4*s + n. Is s composite? False Let n(i) = -i + 4 - 4 + 3. Let o(v) = -v**3 + v**2 - 3*v + 2. Let b be o(2). Is n(b) composite? False Suppose 4*l - 12 = -0*l. Suppose -329 = -l*o + 244. Is o a composite number? False Let v(j) = -4*j**3 - 3*j**2 - 9*j - 8. Let r(d) = -d**3 + d**2 - d. Let g(z) = -5*r(z) + v(z). Is g(9) a prime number? True Let m = -1037 - -1590. Is m a prime number? False Let l be 9/15 - 2/(-5). Let s be 25 - 2/(l + 0). Let i = s - 16. Is i prime? True Suppose 6*h - 3*h - 5*m = -49, -5*m = -2*h - 36. Is (136/4)/((-2)/h) composite? True Is (2 - (-5)/(-2))*(2 - 2520) prime? True Let a(o) = 37*o - 2. Let n be a(5). Suppose 5*x = -l - n, -4*x - 2*l = -l + 146. Let v = 164 + x. Is v composite? False Let f be 2/4*0/1. Suppose f = 5*n - 154 - 191. Is n composite? True Let s = 39 - 72. Let q = 104 + -168. Let i = s - q. Is i a prime number? True Suppose -28 = -3*q - 19. Suppose -i + 44 = -g - 4*g, 0 = -q*i - g + 180. Is i a composite number? False Is (4/(-6))/(4/(-126)) prime? False Let i be ((-4)/(-10))/(2/1010). Suppose 2*s - 4*f - i = 0, 0 = 2*s - 5*s + 4*f + 297. Is s prime? False Suppose 0 = 4*p - 0*p + 44. Let a(y) = -5*y**2 - y + 12. Let c be a(-4). Let t = p - c. Is t a composite number? False Suppose -2*k + 2*m = 8, 4*m - 6*m + 13 = 3*k. Suppose 0 = o + k - 4. Is 165 + 0 - (o - 1) a prime number? True Let k = -13 + 15. Suppose -k*f + 57 = f. Is f prime? True Let q = 10 - 6. Suppose q*k = 5*m - m, 4*k + m + 5 = 0. Is k/1*-11*7 a prime number? False Let d(i) be the first derivative of 31*i**4/2 + i**3/3 - i**2 + i - 3. Is d(1) composite? True Is 1706/(16/6 - 2/3) a prime number? True Let b = -8963 + 18756. Is b a prime number? False Let s = 665 + -186. Is s composite? False Suppose 0 = -3*i + 592 + 1961. Is i composite? True Let d = -503 + 1248. Suppose 0 = -4*y + 9*y - d. Is y a composite number? False Let x(t) = -2*t**2 - 6*t - 6. Let y be x(-4). Let h = y - -21. Suppose -h*n + 60 = -3*n. Is n a composite number? True Let j be (-2)/(-8) - (-126)/(-24). Is -1 + (94 - (j + 3)) prime? False Suppose 0 = -5*d - 0*b - b - 1211, -3*d - 728 = 2*b. Let j = 355 + d. Suppose 0*h - h = -j. Is h composite? False Let d(n) = n**2 + n + 4. Let y be d(0). Suppose -3*o - y*z = -8*o + 170, -o = -2*z - 34. Suppose -u - 4*f + o = 1, -5*u - 2*f = -75. Is u a prime number? True Suppose 4*o = 2*o + 4. Suppose -4*m + 2*r = -158, 5 - 74 = -o*m - r. Is m composite? False Let b = -1 - -6. Suppose -2*z + 82 - 20 = -b*l, 3*l + 58 = 2*z. Is z composite? True Suppose 2*s + 0*o - 19 = 3*o, -3*o = 3*s + 9. Suppose 0 = 3*x + s*x - 310. Is x prime? False Let v = 2292 - 1577. Suppose 2*i = -w + v, 2*i - 560 - 130 = 4*w. Is i composite? True Suppose 0 = -4*f - 20, 3*n - 3*f - 40 - 2 = 0. Suppose 0 = 3*i - n, -x - 41 = -2*x - 2*i. Is x prime? False Suppose -2*q - 12 = q. Suppose 5*u - 19 - 11 = 0. Is u/q*38/(-3) prime? True Suppose 7*r + 5 = 2*r. Is (r - -240) + 1*-2 a composite number? True Suppose 0*k = k + 4*p - 271, -p + 1260 = 5*k. Is k composite? False Suppose -810 = -4*o + 3*n, 2*o + 7*n = 3*n + 416. Let m be ((-2)/(-6))/(4/o). Suppose 5*q = 132 - m. Is q composite? False Let z be (-1)/3 + 8/6. Let l(g) = -g**2 + g. Let m be l(z). Let j(d) = -d + 223. Is j(m) prime? True Let g(b) = 4*b**2 - 1. Let u(m) = -4*m + 3*m**2 - 2 + 2*m + 3*m. Let p(w) = 4*g(w) - 5*u(w). Is p(4) composite? False Suppose 4*n - 263 + 19 = 0. Is (2 - n)/(1/(-7)) a prime number? False Suppose q = -2*q + 6. Suppose 0*k - 31 = -4*v - 3*k, -q*v = -k - 3. Is v a prime number? False Suppose a + 27 = -9. Let x = a + 19. Let c = x + 66. Is c a prime number? False Let r = -6412 - -9093. Is r a composite number? True Suppose 0 = z + 5*k - 5, 2*z = k + 59 + 6. Let a = 2 - z. Let m = -15 - a. Is m a composite number? False Let b = 21 + -15. Let q(w) = w - 3. Let x be q(b). Let n(p) = 2*p**3 - 2*p**2 + 3*p - 2. Is n(x) composite? False Let t(r) = -r**3 - 7*r**2 + 2*r + 6. Let j be t(-7). Is (0 - (-4)/j)*-118 a prime number? True Let f(y) = y + 6. Let q be f(-6). Suppose -2*u = -3*s + 565, q = -s + 6*s + 3*u - 910. Is s a composite number? True Suppose 9*b = 55902 - 16959. Is b prime? True Suppose -4*y = f - 240, -2*f + 372 = 5*y + 69. Is y prime? True Let q be (2 - -2)*68/2. Let c = -23 + q. Suppose 0 = -4*s + 3*n + 489, -3*s = 3*n - 485 + c. Is s a prime number? False Suppose -4*c + 2*h + 3442 = -0*h, 4320 = 5*c + h. Is c a composite number? False Suppose -5*z - 4*f = -2208, z + f - 394 = 48. Suppose -5*d = 5*g - 585, 0*d + 3*d + z = 4*g. Is g a composite number? False Suppose 2*t + 2*n = 3*n + 674, -5*n - 1011 = -3*t. Is t a prime number? True Suppose 0*v + 6 = 2*v. Suppose -h - v*k - 124 = -664, h - 532 = -5*k. Let q = h + -329. Is q prime? True Let k be 1/((4 + -1)/3). Is k + 0 + 11*30 a prime number? True Let z = 678 - 385. Is z a prime number? True Suppose -9 = -3*w + p, 7*w - 2*w - 16 = 2*p. Let x = 8 - 5. Suppose w*n = -x*n + 475. Is n a composite number? True Let l(t) = -t**2 + 11*t - 7. Let w be l(10). Let j(s) = 27*s + 2. Let q be j(2). Suppose q = h + w. Is h composite? False Let f(l) = -l + 8. Let y(s) = -s + 8. Let p(w) = -5*f(w) + 6*y(w). Let t be p(4). Suppose -5*x + 943 = t*m, x + 5*m = 3*x - 397. Is x prime? True Let p be -3*(-2)/(-4)*-4. Suppose -8*b + 430 = -p*b. Is b a prime number? False Let f = 7713 - 4676. Is f a prime number? True Suppose 4*p + 3 = 7. Suppose 1 = g - 1. Is g + (p - -42) + 1 a composite number? True Suppose 0 = 2*b - 2*i + 142 - 428, -2*i - 580 = -4*b. Let o = 214 - b. Is o a prime number? True Let o(j) = -j**3 + 11*j**2 + 4*j + 7. Is o(11) a prime number? False Suppose 6*b + 4*b = 20690. Is b prime? True Let a = 596 - 91. Is a composite? True Let p(x) = 3*x**2 - 12*x - 8. Is p(9) composite? False Let d(u) = 2*u**2 - 10*u + 45. Is d(-11) prime? True Let f(m) = -7*m**3 + 3*m**2 - 2*m + 2. Let i be f(3). Let l = i - -253. Is l a prime number? False Let o(j) = -5 + 2 - 1 + 0 + 27*j. Is o(7) prime? False Is 11/((2/(-222))/((-5)/15)) a prime number? False Let k = -1 - -3. Let b(y) = -y**3 - y**2 + y + 65. Let c be b(0). Suppose 0 = s + u - 0*u - 60, c = s + k*u. Is s prime? False Let x be (-6)/(-3) - (0 + -1). Suppose -x*r = 2*o - 178, -o + 4*r + 206 = o. Let g = 190 - o. Is g a prime number? False Let p(v) = 30*v + 5. Let h be p(4). Suppose h = 4*m - 151. Is m prime? False Suppose 6*j - 2880 = -2*l + 3*j, 3*j + 1431 = l. Is l a composite number? True Let g be 36/8 + 4/8. Suppose -886 = -g*d - 2*p + 6*p, 5*d = -4*p + 894. Is d a composite number? True Let h(m) = -8*m + 3. Let l be h(-3). Suppose 0 = 4*r - 5*r -
{ "pile_set_name": "DM Mathematics" }
m bixbs. What is prob of picking 2 b and 1 x? 1/10 Four letters picked without replacement from gsurbrrssbrurr. What is prob of picking 1 s, 2 b, and 1 r? 18/1001 What is prob of picking 1 f and 1 a when two letters picked without replacement from ahdfhf? 2/15 Two letters picked without replacement from {j: 2, m: 1, w: 1, l: 1, b: 2, v: 7}. Give prob of picking 1 j and 1 w. 2/91 Two letters picked without replacement from huhuchhchhucu. Give prob of picking 2 c. 1/26 Two letters picked without replacement from tttztzpxzz. What is prob of picking 1 p and 1 x? 1/45 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from gofhghohaggj. 1/66 Four letters picked without replacement from {l: 2, k: 1, p: 1, s: 3}. Give prob of picking 1 p and 3 s. 1/35 Two letters picked without replacement from nyynyytnndnnnnny. What is prob of picking 1 n and 1 d? 3/40 Four letters picked without replacement from {h: 4, x: 1, j: 5, e: 3, a: 5, b: 2}. Give prob of picking 1 j, 1 e, 1 b, and 1 h. 8/323 What is prob of picking 2 b when two letters picked without replacement from bbbbbbbbbbbbbhb? 13/15 Four letters picked without replacement from {k: 13, r: 6}. Give prob of picking 4 k. 715/3876 What is prob of picking 1 v and 1 w when two letters picked without replacement from {v: 6, o: 1, w: 2, g: 2}? 12/55 Three letters picked without replacement from xyyyxyxxyyxxy. Give prob of picking 2 y and 1 x. 63/143 What is prob of picking 1 p, 2 c, and 1 r when four letters picked without replacement from {u: 4, g: 1, c: 2, r: 1, p: 3}? 1/110 What is prob of picking 1 r and 3 s when four letters picked without replacement from sssssssssrsssssssrss? 32/95 What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 4, e: 3}? 12/35 Three letters picked without replacement from iqofb. Give prob of picking 1 q, 1 f, and 1 o. 1/10 Three letters picked without replacement from {q: 1, k: 2, t: 7, l: 2, d: 4}. Give prob of picking 1 l, 1 t, and 1 q. 1/40 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {g: 1, h: 1, x: 2, i: 3, z: 2, o: 8}. 3/68 Two letters picked without replacement from guqq. Give prob of picking 1 q and 1 g. 1/3 Three letters picked without replacement from {s: 3, y: 5}. Give prob of picking 3 s. 1/56 Two letters picked without replacement from jznzznnznnnzj. Give prob of picking 1 j and 1 n. 2/13 What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 2, z: 9}? 24/55 Two letters picked without replacement from ecww. Give prob of picking 1 w and 1 e. 1/3 What is prob of picking 3 u when three letters picked without replacement from {j: 1, u: 1, y: 7}? 0 Calculate prob of picking 1 y and 2 p when three letters picked without replacement from {p: 3, y: 5}. 15/56 What is prob of picking 2 w when two letters picked without replacement from wwwwwwwwww? 1 Four letters picked without replacement from zzdwzzw. What is prob of picking 1 w, 1 d, and 2 z? 12/35 Four letters picked without replacement from {a: 8, k: 5}. What is prob of picking 2 k and 2 a? 56/143 Calculate prob of picking 2 i when two letters picked without replacement from gggiggggiogog. 1/78 Three letters picked without replacement from xecxcezdt. Give prob of picking 2 c and 1 d. 1/84 Calculate prob of picking 1 v and 2 t when three letters picked without replacement from tkattavkttktktkttktk. 3/76 What is prob of picking 1 u and 2 j when three letters picked without replacement from sussnsusjnjjnsss? 3/280 What is prob of picking 4 h when four letters picked without replacement from {h: 5, p: 4, l: 1}? 1/42 Three letters picked without replacement from pqpqqp. What is prob of picking 3 p? 1/20 What is prob of picking 1 h and 1 j when two letters picked without replacement from {j: 4, z: 1, h: 3, a: 2}? 4/15 Three letters picked without replacement from {b: 1, g: 1, v: 3}. Give prob of picking 3 v. 1/10 Calculate prob of picking 3 q when three letters picked without replacement from ghesqsqqshj. 1/165 Three letters picked without replacement from euqsjsc. Give prob of picking 1 j and 2 s. 1/35 Two letters picked without replacement from uyzzyddzyddgdz. What is prob of picking 1 z and 1 d? 20/91 What is prob of picking 1 b and 1 a when two letters picked without replacement from {b: 5, a: 15}? 15/38 Three letters picked without replacement from ltlillliiiillllllln. What is prob of picking 3 i? 10/969 Three letters picked without replacement from {a: 1, i: 1, o: 11}. What is prob of picking 1 i and 2 o? 5/26 What is prob of picking 3 d when three letters picked without replacement from {s: 11, j: 2, d: 7}? 7/228 Calculate prob of picking 4 m when four letters picked without replacement from mmccccmccm. 1/210 Two letters picked without replacement from {k: 1, n: 1, d: 1}. What is prob of picking 1 d and 1 k? 1/3 Calculate prob of picking 1 g, 1 e, and 1 p when three letters picked without replacement from sgxrpseexspx. 1/55 Calculate prob of picking 2 v when two letters picked without replacement from zvvvzv. 2/5 Four letters picked without replacement from {q: 6, f: 3, r: 3, k: 4, l: 2, o: 1}. What is prob of picking 1 k, 2 q, and 1 r? 15/323 Calculate prob of picking 2 f when two letters picked without replacement from {u: 1, g: 3, r: 1, f: 1, b: 2, k: 4}. 0 Calculate prob of picking 2 x and 1 a when three letters picked without replacement from axxxxbxaaaab. 5/22 Calculate prob of picking 3 u and 1 d when four letters picked without replacement from {u: 4, w: 4, g: 3, d: 3}. 12/1001 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from utuuiicikcuukttiu. 3/68 What is prob of picking 2 x and 1 j when three letters picked without replacement from txxjbjj? 3/35 Two letters picked without replacement from wbwsbdswd. What is prob of picking 2 d? 1/36 Two letters picked without replacement from {p: 6, r: 6}. Give prob of picking 2 p. 5/22 What is prob of picking 1 q and 1 z when two letters picked without replacement from zqqq? 1/2 What is prob of picking 1 b and 1 v when two letters picked without replacement from {v: 4, b: 6}? 8/15 Two letters picked without replacement from yzyzkytccz. What is prob of picking 1 t and 1 z? 1/15 Two letters picked without replacement from eiiqv. Give prob of picking 1 q and 1 i. 1/5 Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {s: 1, l: 7, u: 3, w: 2, r: 2, y: 3}. 1/17 Two letters picked without replacement from bpqpo. Give prob of picking 1 p and 1 q. 1/5 Four letters picked without replacement from {r: 2, e: 2, k: 2, d: 3, b: 10}. Give prob of picking 1 b, 2 e, and 1 k. 5/969 What is prob of picking 2 k when two letters picked without replacement from {k: 5}? 1 What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 1, g: 6, j: 2, p: 5, e: 1}? 1/21 Two letters picked without replacement from uudkliiciiuk. Give prob of picking 1 c and 1 k. 1/33 Three letters picked without replacement from nnknsfksknsn. Give prob of picking 1 k, 1 s, and 1 n. 9/44 Calculate prob of picking 2 l and 1 j when three letters picked without replacement from lvwjililjj. 3/40 Three letters picked without replacement from snpppnpdpdidnp. Give prob of picking 2 d and 1 s. 3/364 Two letters picked without replacement from {s: 1, w: 1, r: 2, y: 1, k: 2, v: 1}. What is prob of picking 2 k? 1/28 What is prob of picking 1 r and 2 c when three letters picked without replacement from {r: 7, c: 5}? 7/22 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from qeeevveveevaeekkk. 1/136 Four letters picked without replacement from miiekbt. Give prob of picking 1 m, 1 k, 1 i, and 1 t. 2/35 What is prob of picking 1 x and 1 s when two letters picked without replacement from {t: 3, d: 2, s: 5, n: 2, x: 8}? 4/19 Two letters picked without replacement from {i: 9, r: 2, n: 6}. What is prob of picking 2 i? 9/34 Two letters picked without replacement from ekkeggeggegeg. What is prob of picking 2 e? 5/39 Calculate prob of picking 2 h when two letters picked without replacement from hhihhhhhhhihihhhhh. 35/51 What is prob of picking 1 s, 1 j, and 1 g wh
{ "pile_set_name": "DM Mathematics" }
tens digit of -1*3/(g/40)? 2 Let w(d) = d. Let r be w(4). Suppose r*m + 2*l + 2 = -0*m, -4*l = -5*m + 17. What is the units digit of m? 1 Let n(u) = u**2 + 7*u - 22. What is the units digit of n(-15)? 8 Let b be (-2 - 3)*27/(-3). Suppose 0 = -3*a - 6 + b. What is the tens digit of a? 1 Let v(a) = -a**3 - 3*a**2 - a - 1. Let x be v(-3). Suppose 3*c - d = -2*d + 136, 4*c - d = 172. Suppose x*y = 6*y - c. What is the tens digit of y? 1 Let b = -47 + 82. What is the units digit of b? 5 Suppose 2*g - 28 = 34. What is the units digit of g? 1 Suppose 35 = 5*g + v, -21 = -3*g - v - v. Let q = 9 - g. Suppose q*x - x = 3. What is the units digit of x? 3 Let s = -4 - -48. What is the units digit of s? 4 Let o(m) = m**2 - 7*m + 9. Suppose 5*f + 0*f - 30 = 0. Let x be f/((-1)/1 + 2). What is the units digit of o(x)? 3 Suppose -3*c + 174 = -0*c. What is the tens digit of c? 5 Suppose 16 + 5 = q. Suppose -q = -z + 3. What is the units digit of z? 4 Suppose -1 = -i + 10. What is the units digit of i? 1 Let t = 20 + -36. Let r be t/12*(-18)/4. Suppose 3*i - r = -h + 4, -i + h = -6. What is the units digit of i? 4 Suppose 0 = -2*v - 2*v. Suppose v*p = -p + 6. What is the units digit of p? 6 Let z(r) = 2*r - 10. Let c be z(7). Suppose k = c*k + 108. Let x = k - -51. What is the tens digit of x? 1 Suppose -297 = -6*a + 3*a + 3*q, -a + 2*q + 95 = 0. What is the hundreds digit of a? 1 Let t(n) = -n**2 - 5*n - 1. Let w be t(-5). Let y = 14 + w. What is the units digit of y? 3 Let q = 135 + -92. What is the tens digit of q? 4 Suppose 3*u + 22 = 4*p + u, -2*p + 14 = -2*u. What is the units digit of p/(-3)*(-3)/1? 4 Suppose n = -3*u - 16 + 42, -n - u = -30. What is the tens digit of n? 3 Let x(h) = 3*h**2 + 1. Let d be x(-1). Suppose -2*b + d*b - 8 = 0. Suppose 3*y - 2*j = 12 + 2, 0 = 4*y + j - b. What is the units digit of y? 2 Let a be ((108/(-3))/(-2))/2. Let y(w) = 2*w**2 - 4*w - 1. Let h be y(3). Suppose -4*d + a*d = h. What is the units digit of d? 1 Let m(d) = 23 - d - 23 - 2*d**3. What is the units digit of m(-1)? 3 Suppose 0 = 2*q + 1 + 3. What is the tens digit of ((-32)/8)/(q/8)? 1 Suppose a + s = 63, -370 = -4*a + s - 128. What is the units digit of a? 1 Let l(k) = 24*k**2 - k. Let t be l(-1). Suppose -3*s - 4*n = -17 - 16, -4*s = -n - t. Let r = s + -3. What is the units digit of r? 4 Suppose q - 43 = 5*k - 3*q, 0 = -4*q - 12. What is the units digit of (k/(-3))/(3/9)? 1 What is the tens digit of (1/1)/(-3*(-4)/708)? 5 Suppose 3*r = 2*t + 2*t - 42, 3*t + 3*r = 21. What is the units digit of t? 9 Suppose 11 + 8 = u. What is the units digit of u? 9 Suppose 5*j - 6 = 3*j. What is the units digit of j? 3 Suppose 3*f = -4*h + 3, 0 = -5*h - f - 0*f + 12. Suppose h*v + 8 = 4*v. What is the units digit of v? 8 Suppose 70 = 4*t - 2*v, t - 3*v - 7 = 3. What is the units digit of t? 9 Let p be 2 + -1 - (-3 + 2). Suppose 5*f - o = p*f + 18, 17 = 2*f + o. What is the units digit of f? 7 What is the tens digit of (-88)/3*(-33)/22? 4 Let j be -1*1 + (5 - 4). Let d = j - -1. What is the units digit of d? 1 Let m be 5 - 2/((-2)/1). What is the tens digit of m/(-21) + (-212)/(-7)? 3 Let k(h) = 5*h**3 - 1. Let l be k(-1). Let p(x) = -x - 4. What is the units digit of p(l)? 2 What is the units digit of 3/(-6)*(5 + -65)? 0 Let i = 1 - -15. Suppose 3*g + g = i. What is the units digit of g? 4 Let o = 28 - -18. What is the units digit of o? 6 Let r be 45/(-6) + 1/2. Let f(p) = p**2 - 8*p + 11. Let o(b) = -5*b**2 + 33*b - 45. Let s(x) = 9*f(x) + 2*o(x). What is the units digit of s(r)? 2 Let g = 9 - 11. What is the units digit of (1 + 2*g)/(-1)? 3 Let h = 0 + -4. Let y(s) = -s**3 - 4*s**2 - 4*s + 4. What is the units digit of y(h)? 0 Suppose -6*n = -n. Let x = -3 - n. Let f(q) = -3*q - 1. What is the units digit of f(x)? 8 Suppose 0*z + z = 0. Suppose z = 3*c + 2*u + 6, -13 = c + 3*u - 4. Suppose -2*r - r + 24 = c. What is the units digit of r? 8 Suppose -2*b = 3*b - 2*q - 71, 0 = -5*q + 10. Let s = b + -6. What is the units digit of s? 9 What is the hundreds digit of 201 - ((-1)/(-1))/(1/2)? 1 Let x(u) = 2*u**2 - 12*u + 29. What is the tens digit of x(9)? 8 Suppose 6*v - 4*v = -3*q + 1, 5*v + 20 = 0. What is the units digit of 321/9 + 1/q? 6 Suppose 0 = -5*h + 3*h - 2. Let c = h + 6. What is the units digit of c? 5 Let l = -180 - -303. What is the tens digit of l? 2 Let i(p) = p - 8. Let b(m) = -m**2 - 6*m - 3. Let s be b(-6). Let v(o) = 3. Let l(t) = s*i(t) - 8*v(t). What is the units digit of l(-1)? 3 Suppose -13 + 40 = 3*y. What is the units digit of ((-24)/y)/((-4)/18)? 2 Suppose -5*r - 4*i + 135 = 0, 2*i + 37 + 45 = 4*r. Let w = -7 - -20. Let p = r - w. What is the units digit of p? 0 Let m(j) = -j + 3. Let o(u) = u**2 + 1. Let h(v) = -m(v) + o(v). Let t be h(-3). Suppose a - 7 = l, 5*a + t*l = l + 3. What is the units digit of a? 3 Let u(k) = 36*k + 2. What is the units digit of u(1)? 8 Suppose 0*q - 90 = -5*q. Suppose r + 4 = q. What is the tens digit of r? 1 Suppose r + 4*t - 7 = 0, 3*t + 21 = r - 0*t. What is the tens digit of r? 1 Suppose 22*s - 2100 = 2*s. What is the hundreds digit of s? 1 Let a(s) = s**2 + 7*s + 2. Let v be a(-3). Let j be ((-2)/3)/(v/15). Suppose -5*y - j + 46 = 0. What is the units digit of y? 9 Suppose 0 = 4*d - 0*d - 168. What is the tens digit of d? 4 Suppose 1 - 9 = -4*i. Suppose 0 = i*w - 0*w - 8. Suppose -g - g + w = 0, -2*p + 3*g + 12 = 0. What is the units digit of p? 9 Suppose 2*k - 27 = -3*q, 0*q + 2*q - 26 = -4*k. Suppose -v - 4*i = -2*v + q, -67 = -5*v + 4*i. What is the tens digit of v? 1 Suppose 2*k - 111 + 23 = 0. Suppose -k = -2*z - 0*z. What is the tens digit of z? 2 Let j(h) = h**2 + 5*h + 7. Let m be j(-5). Let n(b) = -b + 16. Let z be n(11). Suppose z*l = m + 43. What is the tens digit of l? 1 Suppose -d - 1 + 20 = 0. Suppose -4*o = u - 2*o - d, 3*u = 3*o + 30. What is the units digit of u? 3 Suppose 5*z = t + 4*t + 165, 4*z + t - 142 = 0. What is the tens digit of z? 3 Let c(m) = m**2 + 11*m - 8. Let a be c(-12). Suppose d = -4*k + 38, 2*d - a*k + k = 65. What is the units digit of d? 4 Let d(l) be the first derivative of 2*l**3/3 - l**2/2 + 7*l + 3. Let g be d(5). Suppose -p = 0, -4*m - 2*p + p = -g. What is the tens digit of m? 1 Let k be (1/4)/(2/16). Suppose g + 0*q = -2*q + 22, -53 = -k*g + 5*q. What is the tens digit of g? 2 Let z be 2 - 19 - 0/3. Suppose -o + y = -35, -2*o + 173 = 3*o - 4*y. Let q = o + z. What is the units digit of q? 6 Suppose 0 = -4*x + j + 12, 2*x + 4*j + 13 - 1 = 0. Suppose 35 = x*m - 27. What is the units digit of m? 1 Let p = 228 + -136. What is the tens digit of p? 9 What is the hundreds digit of 93/1*(-16)/(-12)? 1 What is the tens digit of 106/2 - (-3)/(6/(-6))? 5 Suppose -g - 2 = g, -3*g - 202 = -c. What is the hundreds digit of c? 1 Suppose -16 = 2*q - 22. What is the units digit of q? 3 Let p be 99/6 - (-1)/2. Let n(g) = -7*g**2 - g. Let d be n(-1). Let b = d + p. What is the units digit of b? 1 Suppose a = 5*b - 31, 10 - 37 = 2*a - 3*b. What is the tens digit of 134/6 + 2/a? 2 Suppose -l = -0*l - 29. Suppose 3*j - 103 = 4*w, 5*j + l = -2*w + 10. What is the units digit of (-246)/w - 8/44? 1 Suppose 0 = -4*r - 2*n + 36, 5*r + n - 51 = -0*n. Suppose 0 = 3*j - 13 - r. What is the units digit of j? 8 Let c(s) = 6*s**2 - 27*s + 6. What is the units digit of c(5)? 1 Let j(f) = 2*f**3 + f**2 - 2*f - 3. Let o be j(3). Suppose 2*p + p = o. What is the units digit of p? 8 Let b(i) = -2*i - 2*i + i - 9. Let r be (-2 - -1)/((-2)/(-12)). What is the units digit of b(r)? 9 Let b(y) = y**3 + 2*y - 1. Suppose 0 = -3*l - 5*m - 2, 5*l + 3*m = -2*m. Let o be b(l). Suppose 0*s = o*s - 12. What is the units digit of s? 6 Suppose 3*l + 0 = -2*q + 12, 0 = -q + 4*l + 28. What is the units digit of q? 2 Let m(s) = -75*s**3 - 2*s**2 - 4*s - 2. What is the tens digit of m(-1)? 7 Let k(q) = -q**2 - 4*q + 1. Let n be k(-3). Suppose -n*l + 58 = -6. What is the units digit of l? 6 Let p = -175 - -337. What is the tens digit of p? 6 Suppose -5*n + 22 = 2*i - 43, -13 = -n + 2*i. What is the units digit of n? 3 Suppose -2*m + 67 = -u - 2*u, -4*m + 3*u = -149. Let w = 58 - m. What is the tens digit of w? 1 Let p = 38 + 26. What is the tens digit of p? 6 Let u = -7 - -1. Let a(k) = -k**3 - 5*k**2 + 7*k + 8. What is the
{ "pile_set_name": "DM Mathematics" }
digit of 19330? 3 What is the units digit of 1306? 6 What is the units digit of 715? 5 What is the units digit of 383? 3 What is the tens digit of 660? 6 What is the hundreds digit of 1654? 6 What is the units digit of 37997? 7 What is the hundreds digit of 1090? 0 What is the units digit of 28983? 3 What is the tens digit of 6258? 5 What is the tens digit of 739? 3 What is the hundreds digit of 7116? 1 What is the units digit of 48462? 2 What is the units digit of 16029? 9 What is the tens digit of 2227? 2 What is the units digit of 784? 4 What is the thousands digit of 4415? 4 What is the thousands digit of 65157? 5 What is the ten thousands digit of 30067? 3 What is the tens digit of 3611? 1 What is the thousands digit of 8545? 8 What is the thousands digit of 49706? 9 What is the hundreds digit of 782? 7 What is the thousands digit of 25745? 5 What is the units digit of 1237? 7 What is the tens digit of 3745? 4 What is the ten thousands digit of 105443? 0 What is the thousands digit of 3834? 3 What is the tens digit of 163? 6 What is the thousands digit of 10530? 0 What is the thousands digit of 2045? 2 What is the tens digit of 161915? 1 What is the units digit of 9105? 5 What is the ten thousands digit of 14838? 1 What is the ten thousands digit of 42944? 4 What is the tens digit of 514? 1 What is the thousands digit of 127793? 7 What is the tens digit of 1398? 9 What is the units digit of 433? 3 What is the units digit of 6764? 4 What is the units digit of 456? 6 What is the tens digit of 3868? 6 What is the ten thousands digit of 105895? 0 What is the thousands digit of 1598? 1 What is the ten thousands digit of 59569? 5 What is the ten thousands digit of 77799? 7 What is the tens digit of 7028? 2 What is the thousands digit of 56544? 6 What is the tens digit of 785? 8 What is the tens digit of 121311? 1 What is the hundreds digit of 85781? 7 What is the hundreds digit of 3957? 9 What is the hundreds digit of 580? 5 What is the hundreds digit of 467? 4 What is the hundreds digit of 1668? 6 What is the units digit of 30071? 1 What is the units digit of 4102? 2 What is the tens digit of 589? 8 What is the hundreds digit of 1040? 0 What is the hundreds digit of 3844? 8 What is the tens digit of 241? 4 What is the thousands digit of 55108? 5 What is the thousands digit of 66879? 6 What is the thousands digit of 5331? 5 What is the hundreds digit of 2310? 3 What is the tens digit of 7559? 5 What is the thousands digit of 10841? 0 What is the tens digit of 124202? 0 What is the thousands digit of 1981? 1 What is the units digit of 1422? 2 What is the hundreds digit of 838? 8 What is the units digit of 110104? 4 What is the tens digit of 862? 6 What is the hundreds digit of 10235? 2 What is the units digit of 27250? 0 What is the tens digit of 31044? 4 What is the ten thousands digit of 23125? 2 What is the tens digit of 10494? 9 What is the thousands digit of 38913? 8 What is the thousands digit of 10313? 0 What is the hundreds digit of 14659? 6 What is the units digit of 63578? 8 What is the thousands digit of 4490? 4 What is the tens digit of 8414? 1 What is the hundreds digit of 604? 6 What is the thousands digit of 74017? 4 What is the ten thousands digit of 43323? 4 What is the tens digit of 132303? 0 What is the units digit of 583? 3 What is the hundreds digit of 51764? 7 What is the ten thousands digit of 14809? 1 What is the tens digit of 21837? 3 What is the tens digit of 184004? 0 What is the ten thousands digit of 26373? 2 What is the units digit of 2417? 7 What is the units digit of 4776? 6 What is the hundreds digit of 1305? 3 What is the thousands digit of 162200? 2 What is the thousands digit of 7913? 7 What is the units digit of 8873? 3 What is the units digit of 70285? 5 What is the tens digit of 2123? 2 What is the tens digit of 2044? 4 What is the units digit of 3901? 1 What is the ten thousands digit of 43112? 4 What is the thousands digit of 1307? 1 What is the hundreds digit of 15022? 0 What is the tens digit of 3557? 5 What is the hundreds digit of 10231? 2 What is the tens digit of 65839? 3 What is the hundreds digit of 9212? 2 What is the tens digit of 1335? 3 What is the thousands digit of 7376? 7 What is the units digit of 2610? 0 What is the ten thousands digit of 19778? 1 What is the tens digit of 7459? 5 What is the hundreds digit of 584? 5 What is the thousands digit of 136654? 6 What is the hundreds digit of 3922? 9 What is the units digit of 186074? 4 What is the tens digit of 122756? 5 What is the units digit of 3187? 7 What is the tens digit of 8472? 7 What is the hundreds digit of 2331? 3 What is the hundreds digit of 778? 7 What is the hundreds digit of 5112? 1 What is the hundreds digit of 6730? 7 What is the hundreds digit of 3128? 1 What is the units digit of 3100? 0 What is the hundreds digit of 874? 8 What is the units digit of 549? 9 What is the hundreds digit of 2934? 9 What is the units digit of 4111? 1 What is the thousands digit of 1096? 1 What is the units digit of 22856? 6 What is the thousands digit of 3221? 3 What is the tens digit of 10576? 7 What is the units digit of 277? 7 What is the thousands digit of 13342? 3 What is the units digit of 622? 2 What is the tens digit of 94? 9 What is the units digit of 8998? 8 What is the tens digit of 1430? 3 What is the thousands digit of 12309? 2 What is the tens digit of 1729? 2 What is the ten thousands digit of 11164? 1 What is the thousands digit of 1195? 1 What is the units digit of 29336? 6 What is the hundreds digit of 273? 2 What is the tens digit of 136? 3 What is the tens digit of 726? 2 What is the tens digit of 623? 2 What is the ten thousands digit of 154892? 5 What is the units digit of 2189? 9 What is the units digit of 1885? 5 What is the tens digit of 5409? 0 What is the hundreds digit of 860? 8 What is the hundreds digit of 1932? 9 What is the hundreds digit of 595? 5 What is the units digit of 48666? 6 What is the hundreds digit of 1349? 3 What is the hundreds digit of 1682? 6 What is the tens digit of 27020? 2 What is the units digit of 6175? 5 What is the hundreds digit of 29253? 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5 What is the tens digit of 1437? 3 What is the thousands di
{ "pile_set_name": "DM Mathematics" }
et w(l) = l + 1. Let u be w(0). Determine u*n(p) - 4*d(p). 5*p + 2 Let d(b) = 3*b. Let l(u) = 2*u**2 - 41*u + 60. Let k be l(19). Let x(c) = -5*c. Suppose -4*y + 25 + 3 = o, y + 2*o - 7 = 0. Calculate k*x(p) + y*d(p). 6*p Let h(k) = -6*k + 839. Let y(u) = u + 36. Determine -h(d) - 5*y(d). d - 1019 Suppose -15 = 2*u - 13. Let t = 2 + u. Suppose -n - l + t = 3, 12 = -n + 4*l. Let g(f) = f**2 + 4*f + 6. Let o(s) = -s**2 - 3*s - 5. What is n*o(x) - 3*g(x)? x**2 + 2 Let f = 3861 + -3867. Let z(p) = p + 1. Let l(r) be the first derivative of -6*r**2 - 6*r - 15. What is f*z(b) - l(b)? 6*b Let z(l) = -l - 4. Let u(g) = -g + 185. Let v be u(18). Let m(o) = -58*o + 5 + v*o - 52*o - 55*o. Give 2*m(i) + 3*z(i). i - 2 Let p(z) = z**2 - 1. Let o(l) be the third derivative of l**5/20 - 11*l**4/24 - 2*l**3/3 - 553*l**2 + 2. Calculate -o(h) + 4*p(h). h**2 + 11*h Let s(w) = w**3 + 1 + 0*w**3 + w**2 - 2 - w. Let l(j) = -3*j + 3*j**3 + 136*j**2 + 128*j**2 - 6 + 135*j**2 + 129*j**2 - j - 522*j**2. Give -l(d) + 6*s(d). 3*d**3 - 2*d Let i(o) = 7*o**2 + 2*o + 2. Let m be (-76)/(-1) + 1 - 7. Let c(r) = 25 - 41 + m*r**2 + 26 + 11 + 21*r. Determine -2*c(f) + 21*i(f). 7*f**2 Suppose 466*b - 457*b = -36. Let x(g) = -6*g + 2. Let o(h) = 5 - 2*h - 2 - 5*h. What is b*x(j) + 3*o(j)? 3*j + 1 Let r(m) = 5*m - 2. Suppose -2*n = -3*t + 6, 0 = 3*n - t - 7 + 2. Let a(c) = 2*c - 1. Let b = -18 + 11. Calculate b*a(u) + n*r(u). u + 1 Let z(u) = 4*u**2 - 460*u + 4. Let r(o) = 6*o**2 - 463*o + 6. Determine 3*r(l) - 4*z(l). 2*l**2 + 451*l + 2 Let y(g) = -11*g + 14*g + 4*g**3 - 12*g**3. Suppose 31*s = 28*s - 3. Let m be 1 + (-7 - 0 - s). Let p(z) = 9*z**3 - 4*z. Calculate m*y(b) - 4*p(b). 4*b**3 + b Let z(f) = -28*f**2 - 1850 + 3715 + 5*f - 1860. Let v(o) = 27*o**2 - 4*o - 4. Calculate -5*v(y) - 4*z(y). -23*y**2 Let z(b) = -16*b - 3. Let y(s) = 35*s + 1117. Let r be y(-32). Let d(a) = 17*a + 3. Give r*d(w) - 4*z(w). 13*w + 3 Let m(g) = -552*g + 5. Let n(s) = 249*s - 3. Give -3*m(i) - 7*n(i). -87*i + 6 Let l(u) = 4*u**3 - 2*u**2 - 20*u - 2. Let k = -1850 + 1851. Let s(c) = -c**3 + c**2 + c + 1. What is k*l(r) + 2*s(r)? 2*r**3 - 18*r Let i(c) = -722*c**2 - 6*c + 20. Let v(n) = -483*n**2 - 4*n + 14. Give 5*i(m) - 7*v(m). -229*m**2 - 2*m + 2 Let f(n) = -2*n**3 + n - 3. Let m(u) = 3*u**3. Let y be m(-1). Let c(g) = 4*g + 7764*g**3 - 4*g - 2 - 7767*g**3 + 0*g. What is y*c(d) + 2*f(d)? 5*d**3 + 2*d Let p be 24/(-20) - 10520/(-100). Let n = -103 + p. Let k(u) = 5*u - 1. Let i(j) = j. Give n*k(m) - 2*i(m). 3*m - 1 Let h(k) = 5*k**2 + 3*k + 1. Let w(g) = 983*g**2 + 996*g**2 - 1978*g**2 + g. Calculate h(j) - 4*w(j). j**2 - j + 1 Let d(z) = z**3 + 0*z**3 - 2*z**3 - 1 + z. Let k(i) = i**3 + 2*i**2 + 4*i - 2. Let p(o) = -o**3 + 17*o**2 - 14*o - 31. Let l be p(16). What is l*k(h) - 2*d(h)? 3*h**3 + 2*h**2 + 2*h Let q(n) = 4*n**2 - 5*n + 7. Let f(o) = 5*o**2 - 6*o + 8. Let r(w) = -122*w + 4273. Let c be r(35). Determine c*f(d) - 4*q(d). -d**2 + 2*d - 4 Let f(h) = 93937 - 93932 + h**3 + 7*h**2 - 2*h**2. Let p(k) = k**3 + 3*k**2 + 3. Calculate -3*f(x) + 5*p(x). 2*x**3 Let r(l) = -10457*l**2 - 6*l - 290. Let y(z) = -13943*z**2 - 8*z - 373. Determine -9*r(d) + 7*y(d). -3488*d**2 - 2*d - 1 Let a(r) = -8*r**3 + 79*r**2 - 60*r + 19. Let g(b) = b**3 - 9*b**2 + 7*b - 2. Give -2*a(n) - 19*g(n). -3*n**3 + 13*n**2 - 13*n Let p(b) = 5*b**2 - 2*b**2 - 1146001966 + 1146001970 + 5*b. Let n(u) = 2*u**2 + 2*u + 2. Let t(d) = d + 3. Let k be t(-6). Determine k*p(g) + 5*n(g). g**2 - 5*g - 2 Let d(j) = 3*j - 3. Suppose -2*m - 9 = -m. Let a = -44 + 42. Let k(i) be the first derivative of -13*i**2/2 + 12*i - 108. What is a*k(g) + m*d(g)? -g + 3 Let o(l) = 12*l**2 - 172. Let k(i) = -70*i**2 + 1038. Determine 3*k(n) + 17*o(n). -6*n**2 + 190 Let b(g) = g**2. Suppose -384*s = -377*s. Let o(c) be the third derivative of 0*c**4 + 10*c**2 - 1/60*c**5 + s*c + 1/6*c**3 + 0. Determine 3*b(t) + o(t). 2*t**2 + 1 Let a(b) = -b**2 - b + 1. Let r(q) = -38*q**2 + 8*q - 6. Let c(u) = 15*u**2 - 4*u + 3. Let i(s) = 10*c(s) + 4*r(s). Calculate -8*a(h) + i(h). 6*h**2 - 2 Let a(z) = 166*z + 5422. Let b(f) = -50*f - 1807. Calculate -3*a(h) - 10*b(h). 2*h + 1804 Let l(z) = -2432*z**2 + 665*z - 133. Let m(q) = -37*q**2 + 10*q - 2. Let x(c) = 2*l(c) - 133*m(c). Let g(u) = -400*u**2. Calculate 3*g(d) + 20*x(d). -60*d**2 Let p(h) = 3*h**3 - 2*h - 3. Let f(j) = -j**3 - 12*j**2 + 2*j + 21. Let a be f(-12). Let v(t) = -6*t**3 + 4*t + 7. Calculate a*v(g) - 7*p(g). -3*g**3 + 2*g Let p(k) = -2*k + 1. Let a(d) = -11*d - 14*d + 103 + 28*d - 104. Calculate 2*a(v) + 5*p(v). -4*v + 3 Let u(h) = 66*h - 116*h + 4599 - 4599 + 47*h. Let b(w) = -3*w - 2. Let n be b(-2). Let y(t) = 2*t. Determine n*u(l) + 3*y(l). -6*l Let d(q) = q**2 + 5*q + 1. Let l(w) be the second derivative of -w**4/3 - 4*w**3 - 2*w**2 + 10*w - 45. What is 14*d(m) + 3*l(m)? 2*m**2 - 2*m + 2 Let u(z) be the first derivative of -z**2 - 4*z - 1. Suppose -13*a + 25 = -8*a. Let o(g) = 2 - 8 + a. Determine -2*o(l) + u(l). -2*l - 2 Let v(c) = 1890*c**3 - 28*c**2 + 14*c. Let f(k) = -k**3 - 2*k**2 + k. What is 28*f(g) - 2*v(g)? -3808*g**3 Let g(h) be the second derivative of -7*h**3/2 - 2*h**2 - 2*h + 1111. Let f(n) = -11*n - 2. What is 5*f(m) - 2*g(m)? -13*m - 2 Let a be 101821/14421 - 4/66. Let m(i) = -3*i. Let h(q) = -9*q + 1. What is a*m(o) - 2*h(o)? -3*o - 2 Let h(i) = 6*i - 17. Let x(s) = -4*s + 11. Suppose 201 + 79 = -35*n. Calculate n*x(q) - 5*h(q). 2*q - 3 Suppose -86 = -28*f - 35*f - 1031. Let c(t) be the first derivative of 2*t**4 + 2*t**3/3 - 2*t - 1. Let b(q) = -57*q**3 - 15*q**2 + 15. What is f*c(j) - 2*b(j)? -6*j**3 Let f(b) = 122616*b + 14934. Let o(q) = -781*q - 95. Give 5*f(v) + 786*o(v). -786*v Let n be -6 - (-10 + 10 + -4)*(-22)/(-8). Let a(t) = -4*t**2 + 3*t + 3. Let y(x) = 2*x**2 - 3*x + x + x**2 - 2. Give n*a(v) + 7*y(v). v**2 + v + 1 Let x(s) be the first derivative of -s**3 - 9*s**2/2 + 6*s - 4810. Let k(m) = m**2 + 3*m - 2. What is 17*k(p) + 6*x(p)? -p**2 - 3*p + 2 Let h(f) = 5 - 15 - 8*f**3 - 6*f**3 + 10 + 7. Let p(m) = -7*m**3 + 3. Calculate 3*h(b) - 7*p(b). 7*b**3 Let o(q) = -28*q**2 - 2*q + 27. Let c(n) = 73*n**2 + 6*n - 80. Calculate -4*c(v) - 11*o(v). 16*v**2 - 2*v + 23 Let t(y) = 42*y**2 + 48*y + 40. Let d(r) = 46*r**2 + 50*r + 43. Calculate -11*d(z) + 12*t(z). -2*z**2 + 26*z + 7 Let b be 30/(-6)*(-6)/(-10)*-1. Let w(t) = -t**b + 5 + 49*t + 56*t - 5*t**2 - 100*t. Let n(a) = -2*a**2 + 2*a + 2. Give -15*n(p) + 6*w(p). -6*p**3 Let y(n) = -2*n**3 - 6*n**2 - 4*n - 20. Let v(l) = 99493 + l + 0*l - 99492 + l**2. Give 5*v(r) + y(r). -2*r**3 - r**2 + r - 15 Let g(x) = -32*x**3 - 21*x**2 + 13*x - 18. Let v(q) = -17*q**3 - 11*q**2 + 6*q - 8. Determine -6*g(i) + 13*v(i). -29*i**3 - 17*i**2 + 4 Let a(w) = -11*w**3 - 6*w**2 - 1. Let j(r) = 6*r**3 - 17*r**2 + 44. Let q(z) = -z**3 + 3*z**2 - 8. Let s(h) = -2*j(h) - 11*q(h). Give a(f) + 6*s(f). -17*f**3 - 1 Let n(r) = 5 + 2*r + 27*r**3 - 28*r**3 + 5*r. Let j = -217 - -212. Let z(i) = 2*i**3 - 11*i - 8. Calculate j*z(a) - 8*n(a). -2*a**3 - a Let z(n) = -58*n**2 - 1259*n - 4. Let k(w) = 11*w**2 + 252*w + 1. What is -21*k(v) - 4*z(v)? v**2 - 256*v - 5 Let n be (3/(-9) - -1)/(6/63). Let x(r) = -6 + 3 + 3 - 14 - 60*r - n. Let d(c) = 12*c + 4. Give 21*d(k) + 4*x(k). 12*k Let j(w) = -38*w - 23. Let a(z) = 113*z + 64. What is 4*a(k) + 11*j(k)? 34*k + 3 Let t(w) = -8*w**2 - 48*w + 2146. Let q(m) = 2*m**2 + 9*m - 429. Determine 16*q(d) + 3*t(d). 8*d**2 - 426 Let v(b) = b + 4. Let g(p) = 2*p + 7. Let d(l) = -4*g(l) + 7*v(l). Let j(f) = 8186*f - 1 + 1 - 8179*f - 2. Give 3*d(s) + j(s). 4*s - 2 Let j = -34 - -31. Let n(s) = s**3 + 5*s**2 + 4*s. Let t be n(j). Let g(v) = 4*v - 5. Suppose 1 + 3 = -4*p. Let z(c) = c - 1. Determine p*g(d) + t*z(d). 2*d - 1 Let g(w) = -1. Let p(n) = -2*n - 26. Determine 6*g(v) + p(v). -2*v - 32 Let v(o) = o**2 + o. Let a(b) be the first derivative of 2*b**3/3 + 2*b**2 + 20*b - 449. What is a(k) - 4*v(k)? -2*k**2 + 20 Let b(w) = -7*w + 2. Let x(u) = -u + 5. Let z(q) = q - 38. Let l(c) = -8*x(c) - z(c). Give 3*b(r) + 2*l(r). -7*r + 2 Let l(s) = 6*s**2 + 26*s + 8. Let j(n) = -n**2 - n + 1. Give 5*j(z) + l(z). z**2 + 21*z + 13 Let c(v) = v**3 + v + 6. Let m be c(0). Let x(h) = -253 + 14*h**2 - 2*h**2 + 270. Let u(f) = 2*f**2 +
{ "pile_set_name": "DM Mathematics" }
.4. Let p = 2.94449 - -0.05551. What is the nearest to 2/3 in u, -1, p? -1 Let h = -11.9 + 12. What is the closest to h in 2, 1/32, -5/4, -5? 1/32 Let p = -330 + 5608/17. Let o = 0.018 - 3.118. Let l = o - -3. Which is the closest to l? (a) p (b) -2 (c) 1/6 a Let k = 203/3 - 67. Which is the closest to -6? (a) -3 (b) -4 (c) k (d) 0 b Let g = -0.07 - 4.93. Let m = -0.176 - -17.176. Which is the nearest to 0.1? (a) g (b) m (c) 3 c Let i(g) = -g**2 + 4*g + 3. Let z be i(4). Let v = 216 - 217.03. Let t = 0.03 + v. Which is the closest to t? (a) 5 (b) 2 (c) z b Let x = 0.18 - -0.12. What is the nearest to x in -0.5, 0.1, -4? 0.1 Let l = -2 - -2. Let j be (-12)/(-28) + (-269)/7. Let k = j - -192/5. Which is the closest to l? (a) -4 (b) k (c) -2/23 c Let x = -726 + 726.3. Suppose -2*m - 10 = -7*m. Suppose -o + 5 = m. What is the nearest to -2 in o, x, -5? x Let n = -23.9 - -24. Let d be (-40)/18 - (1 - 3). What is the nearest to n in d, 1, -1/3? d Let g = -0.34 - -0.44. Which is the closest to g? (a) -2/17 (b) 0 (c) -0.2 (d) 3 b Let u = -161/26 - -1823/286. Which is the closest to 2/5? (a) u (b) -9/13 (c) -4 a Let q = -0.665 - -0.915. Which is the closest to 1? (a) 2 (b) -6 (c) -3/7 (d) q d Let i = 287 + -4307/15. Suppose g = w + 128, 0*g + 3*g + 414 = -3*w. Let h be 4/18 + w/315. What is the closest to 2/5 in i, h, -3? i Let j = 691 + -690.6. Suppose -3*v = -5*v + 8. Let r = -3 - -5. What is the closest to r in v, j, -0.4? j Let v be ((-4)/8*-4)/(6/(-1)). Let t = 3 - 5. Let w = 4 + t. Which is the closest to v? (a) w (b) 0.5 (c) 0.3 c Let i = -59/110 - -2/55. Let p = 1677 + -1676. What is the nearest to i in -4, p, 9? p Let p = -3 + 4. Let f = 909 + -909. What is the closest to p in 2/3, f, 8? 2/3 Let t = 153 - 152.585. Let d = t + -0.015. Let j = 0.1 - 0. Which is the closest to j? (a) 2 (b) d (c) -1/18 c Let o be 8 - (8/28 - (-19)/7). Let y be 8/(-12) + 7/15. What is the closest to -0.3 in o, 0, y? y Let c = -0.436 + 0.236. Let a = -0.4 + 0.3. What is the nearest to c in 0.5, 2/15, a? a Let j(i) = -i**2 - 4*i + 5. Let x be j(-4). Let r = 1.8 - 1.8. Let m = 2.9 - 3. Which is the nearest to 0.2? (a) m (b) r (c) x b Let d = 127.4 - 136. Let f = d + 3.6. Which is the nearest to -1? (a) 1 (b) f (c) -1/11 c Let n = 37.6 + 7.4. Let q = n + -45.02. Which is the nearest to q? (a) -0.1 (b) -2 (c) 0.4 a Let n = 9213 - 45799/5. Let l = 53 - n. Which is the closest to 3? (a) 0.2 (b) l (c) 4/3 c Let a be (-6)/72*8/10. What is the closest to 3/5 in a, 2, 1? 1 Let k(y) = 5*y. Let n be k(2). Let a be (8/(-10))/(4/n). Let q = -25/2 - -13. What is the closest to q in 2/5, 4, a? 2/5 Let n = -182 - -185. What is the closest to -21 in n, -2, 2/11? -2 Let r be ((-4)/(-10))/(12/15). Let i = -1.9 - -2.1. Let d = 6 + -6.3. Which is the nearest to i? (a) r (b) 0 (c) d b Let d = 385 - 386. What is the closest to 0 in d, 3/5, -7, 2? 3/5 Let m = 6 + -5.94. Let l = -0.06 + m. Let d(r) = r**3 - 20*r**2 - 25*r + 79. Let y be d(21). Which is the nearest to -2/7? (a) y (b) 2/11 (c) l c Let m be 14/126 + (-40)/(-45). Let p = -0.3 - -0.39. Let c = p - -3.91. What is the closest to m in c, -1/5, -0.1? -0.1 Let x = 812/5 + -6501/40. Let t = -2 + -3. Which is the closest to -0.2? (a) x (b) t (c) -11 a Let c = -56 - -135. Let v = c + -82. What is the closest to -2/5 in 0.6, -1, v? -1 Let s = -5 + 4.7. Let y = -54/7 + 55/7. Let o be (16 - 170/10) + -5 + 1. What is the closest to s in o, y, -0.5? -0.5 Suppose 0 = 5*y, -s - 23*y = -21*y - 59. What is the nearest to -1 in 2/7, -3, s? 2/7 Suppose -3*g + 24 = -5*i - 0*g, 0 = 3*i - 5*g + 8. Let u be (4/i)/((-12)/141). Let d = u - 17/2. Which is the nearest to d? (a) 0.1 (b) -0.1 (c) 1/6 b Let g = -2 - -1.8. Let d = 4.3 - 0.4. Let y = d + 0.1. Which is the nearest to 1/2? (a) y (b) g (c) 2/9 c Suppose f + f = -2. Let w = -357/4 - -90. Which is the closest to f? (a) w (b) 3/2 (c) 1/3 c Let b = -65 + 55. Let p be ((-2)/(-6))/(b/12). Let v be 2*2/(40/(-6)). What is the nearest to -2/7 in v, p, 1/4? p Let y = -577/4 + 291/2. Which is the nearest to -2/3? (a) -14/5 (b) y (c) -1 c Let w = -640 - -639.9. Let i = 28 - 30.2. Let l = i - -2. What is the closest to w in l, 0.3, -5? l Let h be (40/42 + -1)/(63/567). Let r = -0.3 + 0.4. What is the closest to r in -1, h, 0.01? 0.01 Let s = 328.9 + -344. Let v = -15.4 - s. What is the nearest to 15 in 1/2, v, -3/4? 1/2 Let w = 6 - 6.4. Let j = -0.9 - w. Let q = 102 + -102. What is the nearest to q in j, -1/6, 1? -1/6 Let k = -91.1 - -92.1. What is the nearest to 2/197 in 5, k, -2? k Let n = 96.2 + -96. Let u = -4.2 - 0.8. Let j = 4.9 + u. Which is the closest to j? (a) n (b) -4 (c) -2 a Let w = -0.52 + 0.503. Let p = 0.983 - w. Which is the closest to -1? (a) p (b) 0.4 (c) -1 c Let y = 0.011 + 0.489. Let h be (11/2*2)/(-1). Let p(k) = -k**2 - 11*k + 5. Let q be p(h). Which is the nearest to -1? (a) 3 (b) q (c) y c Let v be 6/24 + 15/(-156). What is the nearest to -0.01 in v, 2, -0.1, 5/4? -0.1 Let w = -191833/4060 + -1/2030. Let t = 47 + w. Let h = 302/63 - 32/7. Which is the closest to 1? (a) h (b) t (c) 0.5 c Let q(v) = v**2 - 11*v - 10. Let n be q(6). Let j = -41 - n. Which is the closest to j? (a) -1 (b) -2 (c) 2/3 a Suppose -5*x = 3*z + 52 - 5, -4*z - 2*x - 44 = 0. Which is the nearest to z? (a) 2/21 (b) 0.3 (c) -1/3 c Let f be 7/(-49)*7/4. What is the nearest to f in 5, 4/15, 0.2? 0.2 Let x = -0.8 - -0.5. Let v = 351.07 + -354. Let j = v - 0.07. What is the nearest to -4 in x, 2/7, j? j Let h = 226 - 147. Let w = h - 157/2. Which is the closest to w? (a) -1/2 (b) 0 (c) -2 b Let i = -27.5 + 27.1. What is the closest to 1/4 in -5, -6, i? i Let y = 1.201 + -0.201. Which is the nearest to y? (a) -2 (b) 1 (c) -0.2 (d) 1/4 b Let c = -1.2 + 3.2. Let j = -447/2 + 224. What is the closest to 0.3 in 3, c, j? j Let u = 821/55 - 162/11. Let v = 2 - 1. Which is the closest to 0.2? (a) 5 (b) v (c) u c Let q = -3.6 + 15.6. Let n = 12 - q. Which is the closest to -1/2? (a) 0.3 (b) n (c) 3 b Let l = 56.55 - 2.55. What is the nearest to 0 in 4, 1, l, 1/2? 1/2 Let s = 67 + -271/4. Which is the nearest to s? (a) 4 (b) 2/13 (c) -2 b Let r = -2780/13 + 214. Which is the closest to 2/3? (a) -7 (b) -4/5 (c) r c Let f = -122.01 - -122. What is the nearest to -0.2 in 2/13, -1, f? f Suppose 0 = -7*n + 6*n + 4*n. Which is the closest to -0.1? (a) 0.1 (b) -0.0422 (c) n b Suppose -2*i = 5 - 25. Suppose 6*a - i = 20. What is the closest to -1 in -0.4, 4, a? -0.4 Let m = -332/5 - -66. Let k be (52 - 51)*(-6)/3. Which is the closest to m? (a) -1 (b) 1/4 (c) k a Let h = -1 - 0. Let g = 34 + -69/2. Let w = -3.9 + 6.9. Which is the nearest to h? (a) g (b) w (c) 0.5 a Let p = 138 - 136. Which is the nearest to 1? (a) p (b) -0.28 (c) -0.1 a Suppose 0*d - 2*d - 32 = 4*x, -3*d + 24 = -3*x. Let j = 5 + x. What is the closest to 0.1 in j, 10, -5? j Let y = 382.974 + -384. Let s = y - -0.026. What is the closest to -1/3 in s, 1, -5? s Let m be 2/10 - 198/440. Let x = 7 - 11. What is the closest to 0.1 in m, 2/3, x? m Let a = -1106 + 1104. What is the closest to 4 in -0.1, 1/5, a? 1/5 Suppose -i + 6*i - 40 = 0. Let w be (-1)/((-36)/i - -4). Let z = -1 - -1.3. What is the closest to 1 in w, z, -0.3? z Let u = 1.73 - 1.53. Let g = 12.14 + -0.14. Let y = 7 - g. What is the closest to 2 in y, u, -2/13? u Let k be 5/(-50)*(-8 - 0). What is the nearest to 1 in 19, k, -4? k Let n be (-2)/((-1)/((-2)/(-12))). Let s = 14.124 + -14.124. Let v = -0.3 + 0.7. What is the closest to s in n, v, -2/15? -2/15 Let o = 76 - 27. Let j = o + -51. Let b = 1/7 + 5/14. What is the nearest to b in 2, 1, j? 1 Let g = 1.669 + -1.669. Let v = -0.3 - -1.3. What is the closest to g in v, -0.4, 0.5? -0.4 Let g = 16 + 17. Let h = -35 + g. What is the nearest to -1/6 in h, 2, -5? h Let w(d) = -2*d - 15. Let l be w(-7). Let x(r) = -r - 3. Let f be x(l). Which is the nearest to f? (a) 0 (b) 2/9 (c) -1 c Let n = -0.059 - -0.059. Let s = -6 + 1. Let o = s - -5.3. Which is the nearest to n? (a) 2 (b) o (c) -5 b Let i = 1.75 + -1.45. Which is the closest to 0.03? (a) -0.1 (b) i (c) -1 a Let w = 57.68 - 57. Let u = w + -0.78. Which is the nearest to 0? (a) 1
{ "pile_set_name": "DM Mathematics" }
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y. 5*(c - 2)*(c + 1)**2 Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0. -44, 0, 1 Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q? 0, 5/2 Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w) = 0. -67, 1 Let g(a) = 2*a**2 - 88*a - 84. Let q be g(45). Let p(f) be the second derivative of 2/15*f**q - 2*f**2 + 0*f**4 - 16*f + 0 + 4/3*f**3 - 2/5*f**5. Factor p(h). 4*(h - 1)**3*(h + 1) Factor -5/2*d**3 + 5/2*d**2 - 225/2 + 105/2*d. -5*(d - 3)**2*(d + 5)/2 Let x(t) be the third derivative of -2*t**7/105 + 13*t**6/120 + 59*t**5/20 + 93*t**4/8 - 27*t**3/2 + 26*t**2 + 31*t. Factor x(h). -(h - 9)*(h + 3)**2*(4*h - 1) Let q(c) be the first derivative of -111*c**5/5 + 3*c**4/4 + 111*c**3 + 213*c**2/2 - 6*c + 7434. Determine i so that q(i) = 0. -1, 1/37, 2 Let m(a) be the first derivative of 4*a**3/15 + 1404*a**2/5 - 2812*a/5 + 7291. Factor m(r). 4*(r - 1)*(r + 703)/5 Let a(x) be the second derivative of -5/3*x**3 + 0 + 0*x**2 - 1/90*x**5 - 1/540*x**6 + 24*x - 1/36*x**4. Let c(b) be the second derivative of a(b). Factor c(d). -2*(d + 1)**2/3 Let h(v) = v**3 - 16*v**2 - 16*v - 14. Let t be h(17). Solve 3*r**t - 16*r**4 + 5*r**2 + 15*r + 18*r**4 - 21*r**2 - 3 - 1 = 0. -4, 1/2, 1 Let l(j) be the first derivative of j**6/540 + 17*j**5/90 + 289*j**4/36 + j**3/3 + 32*j + 61. Let n(v) be the third derivative of l(v). Solve n(c) = 0 for c. -17 Let k = 1252/183 + -764/183. Factor 3*q - k - 1/3*q**2. -(q - 8)*(q - 1)/3 Factor -326/3*x + 329 - 1/3*x**2. -(x - 3)*(x + 329)/3 Solve 0 - 2/11*a**4 + 0*a + 40/11*a**3 - 150/11*a**2 = 0. 0, 5, 15 Let s(j) be the third derivative of j**5/180 - 125*j**4/36 + 1225*j**3/18 - 140*j**2 + 2*j. Suppose s(o) = 0. Calculate o. 5, 245 Factor -3/2*q**4 - 378*q**2 - 51*q**3 + 972*q + 0. -3*q*(q - 2)*(q + 18)**2/2 Let u be 2 + ((-39)/6)/((-1)/2). Let f = 17 - u. Let 208*y**f - 208*y**2 - 5*y**3 = 0. Calculate y. 0 Let n(c) be the third derivative of -c**5/20 + 8*c**4 + 10*c**2 + 136. Factor n(o). -3*o*(o - 64) Let j = 125455 + -125449. Factor -j - 6075/2*d**2 - 270*d. -3*(45*d + 2)**2/2 Let f = -1211894 - -7271365/6. Factor 0 - f*l**2 - 13/6*l. -l*(l + 13)/6 Factor -1/6*c**3 + 4 - 1/2*c**2 + 5/3*c. -(c - 3)*(c + 2)*(c + 4)/6 Let z(a) be the second derivative of 209/12*a**4 - 1/42*a**7 + 50*a**2 + 190*a + 0 + 1/2*a**6 - 83/20*a**5 - 40*a**3. Factor z(n). -(n - 5)**2*(n - 2)**2*(n - 1) Let i(z) = 11*z + 4. Let a be i(-1). Let p be 6/84*-4*a. Factor -3/5*v**3 + 0 + 1/5*v**5 - v**p + 1/5*v**4 - 2/5*v. v*(v - 2)*(v + 1)**3/5 Let g(v) be the first derivative of 5*v**6/6 - 3*v**5/2 - 11*v**4/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z). (z - 1)**2*(5*z + 2)**2 Let c = -148/21 - -50/7. Let d be (11284/392 + -29)/(2 - (-11)/(-4)). Suppose 2/21*j**4 + 4/21 + c*j**3 - d*j**2 - 2/21*j = 0. What is j? -2, -1, 1 Let u(s) = 19*s**3 + 139*s**2 - 6017*s - 108427. Let a(m) = -10*m**3 - 70*m**2 + 3010*m + 54214. Let x(w) = -11*a(w) - 6*u(w). Factor x(c). -4*(c - 28)*(c + 22)**2 Let s be (-1033 - -1045) + (-204)/22 + -2. Factor 0 + s*b**4 + 12/11*b**3 + 2/11*b**5 + 8/11*b**2 + 2/11*b. 2*b*(b + 1)**4/11 Suppose 0 = 4*l + 3*i - 150 - 21, 4*l + i = 161. Suppose -4*w = -w - l. Factor 5*d**4 + 18*d + 42*d + 7 + 65*d**2 + 30*d**3 + w. 5*(d + 1)**2*(d + 2)**2 Let n be (-38)/475 - 51/(-450). Let o(t) be the third derivative of 0*t**4 + 0*t**3 + 0 - 15*t**2 + 0*t + 3/40*t**6 - 1/30*t**5 - n*t**7. Solve o(v) = 0. 0, 2/7, 1 Let p(v) be the second derivative of -v**7/210 - v**6/30 - v**5/20 + 197*v**2/2 - 10*v - 1. Let n(u) be the first derivative of p(u). Factor n(j). -j**2*(j + 1)*(j + 3) Let w(g) = g**3 - 496*g**2 + 62499*g + 63051. Let f(i) = i**2 + 10. Let l(h) = -15*f(h) + 3*w(h). Factor l(c). 3*(c - 251)**2*(c + 1) Let o be 3/((0 - -6)/6). Factor -1044*j - 349*j**3 + 84*j**4 - 208*j**2 + 1400*j**2 - 4*j**5 + 324 - 203*j**o. -4*(j - 9)**2*(j - 1)**3 Let h be 6 + -6 + -5 + -23. Let s be 16/h - 605/(-140). Solve 5/4*n - 5*n**3 + 0 - 5/2*n**4 + 5/2*n**2 + s*n**5 = 0 for n. -1, -1/3, 0, 1 Let f = 90 + -85. Suppose 4*p - 134 = -2*k, 6*p + 296 = f*k + 3*p. Factor b**4 + 4 + 3*b**3 - k*b + 6*b**2 - 3*b**4 + 51*b - b**3. -2*(b - 1)**3*(b + 2) Let z(m) be the third derivative of -441/2*m**3 + 1 - 21/4*m**4 + 0*m + 74*m**2 - 1/20*m**5. Find y, given that z(y) = 0. -21 Let q(w) = -2*w**5 + 53*w**4 + 1568*w**3 - 43892*w**2 - 3. Let v(f) = 4*f**5 - 105*f**4 - 3136*f**3 + 87780*f**2 + 7. Let u(y) = -7*q(y) - 3*v(y). Factor u(d). 2*d**2*(d - 28)**2*(d + 28) Let y = 2879/9168 + -56/191. Let m(l) be the second derivative of y*l**4 + 0*l**2 + 1/80*l**5 - 1/120*l**6 - 1/168*l**7 + 0*l**3 + 0 - 21*l. Factor m(t). -t**2*(t - 1)*(t + 1)**2/4 What is j in -864/7 + 4/7*j**4 - 100/7*j**3 - 240/7*j + 520/7*j**2 = 0? -1, 2, 6, 18 What is x in 33*x**3 - 36*x**4 + 51*x**2 + 108*x + 24 + 26*x**2 + 162*x**2 - 101*x**2 - 15*x**5 = 0? -2, -1, -2/5, 2 Let s(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 1/120*v**5 - 4*v**2 + 32*v. Determine p so that s(p) = 0. 62 Let t = -1971 + 6272/3. Let a = t - 119. Find d, given that -a*d + 0 + 4/3*d**2 - 4/3*d**4 + 2/3*d**3 = 0. -1, 0, 1/2, 1 Suppose 0 = 5*p - 1451*i + 1454*i - 28, 0 = -4*p - 2*i + 20. Factor 2/7*b**2 - 36/7 - p*b. 2*(b - 9)*(b + 2)/7 Let m(t) be the third derivative of -t**5/240 - 11*t**4/32 + 17*t**3/12 + t**2 - 94*t. Determine k so that m(k) = 0. -34, 1 Factor -11/6*d**3 + 1/2*d**4 + 1/2*d + 5/6*d**2 + 0. d*(d - 3)*(d - 1)*(3*d + 1)/6 Let -5/4*y**5 + 645/4*y - 7/2*y**2 - 76*y**3 - 117/2 - 22*y**4 = 0. Calculate y. -13, -3, 2/5, 1 Let b(z) = z**2 - 9. Let n be b(-3). Let l = 121 + -117. Solve n*d**2 + 0*d**2 - 3*d**l - 3*d**2 + 21*d**3 - 27*d**3 = 0. -1, 0 Let s(k) be the first derivative of 52 + 8/3*k - 1/9*k**3 + 1/3*k**2. Factor s(q). -(q - 4)*(q + 2)/3 Factor -8/9*g**2 - 2/9*g**3 + 8/9 + 2/9*g. -2*(g - 1)*(g + 1)*(g + 4)/9 Let f be 5/((-20)/12) - (-31 - -25). Let b(g) be the first derivative of -3 + 0*g - 3*g**4 + 4/5*g**5 - 2*g**2 + 4*g**f. Suppose b(d) = 0. What is d? 0, 1 Suppose 179*p + 48 = 191*p. Suppose l = -l + 6. Let 195 + 3*x**5 - 195 - l*x**p - 3*x**3 + 3*x**2 = 0. What is x? -1, 0, 1 Let z(g) = -26*g**4 + 3*g**4 + 7 + 8*g**4 - 25*g**3 - 88*g**2. Let c(x) = 2*x**4 + x**3 + x**2 - 1. Let k(w) = -21*c(w) - 3*z(w). Let k(b) = 0. What is b? -9, 0 Let r(f) be the second derivative of -f**6/60 - 153*f**5/20 - 2601*f**4/2 - 88434*f**3 + 151*f. Let r(o) = 0. What is o? -102, 0 Suppose 42*q - 52 = 7508. Let b be -1 - 1 - (-400)/q. Solve b*y**3 + 0 - 2/3*y**2 + 4/9*y = 0 for y. 0, 1, 2 Let k = -1124654/1791849 - 44/4297. Let h = 4/139 - k. Factor -26/3*f**2 + h*f**3 - 24 + 32*f. 2*(f - 6)**2*(f - 1)/3 Let c(w) = w**3 + w - 1. Let h be (-4)/(-8)*1*2. Let p(u) = -4*u**4 + 8*u**3 + 4*u - 4. Let x(y) = h*p(y) - 4*c(y). Solve x(l) = 0 for l. 0, 1 Let j be 66*5/30 + -9. Factor -1/5*z**j + 7/5 + 6/5*z. -(z - 7)*(z + 1)/5 Let s(k) be the first derivative of -1/5*k**5 + 0*k + 1/2*k**4 + 1/3*k**3 - k**2 + 94. Factor s(m). -m*(m - 2)*(m - 1)*(m + 1) Let d(m) be the third derivative of 2/35*m**7 - 2/15*m**5 + 2/3*m**4 - 2/3*m**3 - 99*m**2 - 2/15*m**6 + 0*m + 0. Factor d(k). 4*(k - 1)**2*(k + 1)*(3*k - 1) Let n(f) be the first derivative of 6/5*f**2 + 2/3*f**3 + 2/5*f + 22. Factor n(y). 2*(y + 1)*(5*y + 1)/5 Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0. 0, 11 Let g be ((-81)/(-30) - 9/45)*6. Determine q, given that 55*q**2 + 15*q - 3*q**4 - g*q**3 - 2*q**4 + 11500 - 11550 = 0. -5, -1, 1, 2 Let m be 37/57 - (-2394)/(-7581). Determine p so that -m*p**2 - 147 + 14*p = 0. 21 Factor 0 + 655*u - 1/3*u**2. -u*(u - 1965)/3 Let g be 6/10 + 123*(-14)/(-105). Let l be 3/(-5)*((g - 12) + -10). Let -6*u**2 + 3/2*u**l + 15/2*u - 3 = 0. Calculate u. 1, 2 Factor 0*b + 13/4*b**3 + 5/12*b**5 - 3/4*b**2 + 0 + 29/12*b**4. b**2*(b + 3)**2*(5*b - 1)/12 Let s(i) be the first derivative of -2*i**6/3 - 52*i**5/5 - 58*i**4 - 352*i**3/3 + 64*i**2 + 512*i + 993. Factor s(v). -4*(v - 1)*(v + 2)*(v + 4)**3 Let j(v) = -2*v**2 - 10*v + 14. Let z be j(-7). Let b = z + 18. Factor 2*o**2 + 3*o + b*o + 3*o**2 + o**3 + 3 + 0*o. (o + 1)**2
{ "pile_set_name": "DM Mathematics" }
or d. -1 Suppose 3*x - 11 = 5*s - 2, 2*x + 3*s - 6 = 0. Solve x*w + 4 = 4*u, -20 = -3*w - 2*w for u. 4 Let s = 4 - 5. Let p be (-18)/15*(-5)/(-3). Let q be s + 0 + p + 6. Solve 5*l + 2 = 2*b - 4*b, l = q*b + 3 for l. 0 Suppose -12*u - 289 = -193. Suppose 5*x - 2*x - 36 = 2*s, -3*s = 3*x - 36. Let z = u + x. Solve 0 = v + q - 2, -z*q + 1 = 5*v - 11 for v. 4 Let a(h) = -h**3 + 13*h**2 - 14*h + 26. Let k be a(12). Solve -5*f = -k*x - 26, 0*x + 9 = -3*x for f. 4 Suppose 0 = -3*r - 6 - 6, 5*s - 2*r - 8 = 0. Suppose -5*o = -5*q, 2*q + s*q = 5*o. Solve o = -0*k + k + 5*c - 23, -24 = 2*k - 4*c for k. -2 Let x = -20 - -23. Suppose -2*a + 13 = j, -x*j = -5*a + 8 - 3. Solve -m + 0*m = c + a, -3*m - 10 = 5*c for m. -5 Let s(g) = -g**2 - 7*g - 7. Let x be s(-4). Suppose t + 3 = x. Solve 24 = 3*r + 5*j, -2*r + 0*j = t*j - 12 for r. 3 Let s = -86 + 88. Solve -5*h - 17 = -z, 4*h + h + s*z + 26 = 0 for h. -4 Let j(h) be the first derivative of h**2/2 + 24*h + 7. Let g be j(-9). Let l = -11 + g. Solve -u + 2*v + 13 = -l*u, -2*u + 3*v = 0 for u. -3 Let x(o) be the third derivative of 5*o**4/24 - 5*o**3/6 + 6*o**2. Let b be x(2). Solve 3*m = b*c + 19, 2*c - 7*c - 21 = -2*m for m. -2 Suppose 0 = 35*z - 41*z + 36. Solve -z*i = 5*q - 7*i + 1, 4*q + 5*i = -24 for q. -1 Suppose 0*z + 20 = 2*z. Suppose -2*s - z = -4*s. Solve 4*v - u - 18 = 4*u, -4*v = s*u + 2 for v. 2 Suppose -o = 2*a - 35, -a + o + o = -25. Solve c = -4*m + a, -3*m + c + 11 = -m for m. 5 Let n be (-5 + 0)*3/(-3). Suppose -8*x + 3 = -n*x. Suppose 4*s + 11 = 5*p, -p + 2*s + 0 + x = 0. Solve -5*v - p*u - 5 = 0, 0*v - 4*u = -2*v - 2 for v. -1 Let p be -5 - (-1 + 0)*2. Let x(d) = -26*d**2 + d + d**2 + 24*d**2 - 3*d - 2*d + 1. Let n be x(p). Solve 4*z + 2 = 3*a - 1, 5*a - n*z = 13 for a. 5 Let q be 1/(-5) - 147/(-35). Suppose s = -3*s - 8. Let r = s + 7. Solve q*c + 5*f = -25, -2 = -r*c + 2*f + 8 for c. 0 Suppose 0 = -4*i - 10 + 18. Suppose -4*u + 8 = 3*d, -5*u + 4 = 2*d - 13. Solve -i*h - 3*h = 20, 0 = u*z + 4*h + 31 for z. -3 Let m(n) = -n**3 + 24*n**2 + 2*n - 44. Let o(w) = -2*w**2 + 4*w + 24. Let d be o(0). Let z be m(d). Solve -2*b = 2*y + y + 3, -b = z*y - 1 for b. -3 Let k = -33 + 19. Let u be (2/3)/(k/63). Let s be (-9)/u - (1 - 0). Solve 0*o - 5*o = g + 28, -s*g = 4*o + 26 for g. -3 Let x(i) = -2 - 7*i**2 + 0*i**2 - i + 0*i + 8*i**2. Let z be x(-4). Suppose 10 = -4*b + z. Solve g + b*a = 8, -4 = -2*a + 6 for g. -2 Let u(d) = d**3 + 6*d**2 + 4*d. Let o be u(-5). Solve -11 = -k + 4*k - 2*b, 2*b = o*k + 21 for k. -5 Let z(u) = -2*u**2 - u. Let w be (-2)/4*(1 + -1). Let s be z(w). Solve s = 5*y - 6*g + 3*g + 35, 0 = 4*y + 3*g + 1 for y. -4 Let m(z) = -z**3 + 3*z**2 + 3*z - 3. Let j be m(3). Suppose 5*y - 36 + j = 0. Let q = y + -6. Solve q*a + f = -2*a + 4, -f + 2 = a for a. 2 Let l(n) be the first derivative of 7/4*n**4 + 0*n**2 + 0*n + 0*n**3 - 3. Let x be l(1). Solve 4*p - 8 = 4*j, -4*p + x = -2*j + 3 for j. -2 Let z = 1539 + -1533. Solve -2*r - 2*n - 12 = 0, -2*r + 3*n = z*n + 17 for r. -1 Suppose -2*l + 3 + 31 = 5*o, -13 = -2*o - l. Solve -28 = -5*c - 0*t + 3*t, -c = -3*t - o for c. 5 Let b(g) = 9*g**2 + g**3 + 26*g - 44*g + 22*g - 9. Let t be b(-8). Suppose -4*p = 4*h, 8*p - 3*p = -2*h - 6. Solve -3*a + h*c + t = -0*c, -4*a + 4 = 4*c for a. 5 Let a be ((-4)/(-5))/((-4)/(-10)). Let g = 3 - a. Let i(q) = 7*q - 37. Let w be i(6). Solve -5*c + 24 = w*t - g, 4*t - 20 = -2*c for t. 5 Let l = -257 + 262. Let a be 14/(-4) + 2/4. Let g = l + a. Solve b + 3*b = -3*u + 26, -5*b = g*u - 29 for u. 2 Let y = 82 + -53. Suppose 20*n - y - 51 = 0. Solve -2*r - n*p + 18 = 0, 2*p - 2 = 5*r + 1 for r. 1 Let u(y) = -y**3 + 9*y**2 - 11*y + 24. Let k be u(8). Solve -5*j - 2*a - 4 + 15 = k, -5*a + 5 = 5*j for j. 3 Let p = 541 - 539. Solve -4*i + 1 = -2*x + 9, 2*i + p*x = 8 for i. 0 Let r = -665 - -668. Solve 3*w + h = -7, -5*h - r = -28 for w. -4 Let o(g) = 9*g - 25. Let a be o(9). Let i = 58 - a. Solve 7 = -2*p - 0*x + 3*x, -i*p + x = 5 for p. -2 Let r(w) = -4*w**3 + 21*w**2 - 10*w + 31. Let z be r(5). Let n = 11 - 5. Solve -4*l = -5*i - z, -3*l - 2*i - n = -l for l. -1 Let t be (-24)/16*-1*(-4)/(-3). Solve 0 = t*c - r + 9, 2*c - r = -3*c - 24 for c. -5 Suppose j = -2*j - 51. Let o = j + 22. Suppose 2*z + 18 = 5*s + z, 5*s + 3*z = 26. Solve 3*v + s*q - 24 = 7*v, -20 = 5*v + o*q for v. -5 Suppose -d + 17 = 3*i, -2*i = -2*d + 277 - 299. Solve 3*o = 5*b - 1, 4*o - b = -0*o - i for o. -2 Let k be (16/12)/((0 - -7)/21). Solve -21 = k*a + 3*o, -3*o - 3 = -a - o for a. -3 Let i(v) be the first derivative of v**2 - 22*v + 11. Let x be i(15). Solve n = t - 9, 0 = n + 3*t - x + 1 for n. -5 Suppose 4*y = 4*c + 3 + 5, 5*y = 3*c + 16. Suppose -c*t + 6*t - 9 = 0. Suppose -t = -j + 3. Solve -2*m = -3*p + j*p, -5*m + 15 = 0 for p. -2 Suppose -3*j + 8 = -5*f, 95 = 5*j - 3*f + 71. Solve h = 2*s + 6, 0 = -4*h + 3*s + 25 - j for h. 4 Suppose -3*h = -3*h + h. Solve -2*i + h = -10, -5*g = i for g. -1 Let i(f) = f**2 + 11*f - 9. Let y be i(-12). Let w(k) = k**2 - 7. Let m be w(y). Solve -2*q - m*z + 25 - 9 = 0, 0 = -4*q - 3*z + 28 for q. 4 Let y = -244 - -246. Solve 0 = 4*b - 2*p - 2, -4 = -5*b + 3*b + y*p for b. -1 Let v(q) = q**3 - 6*q**2 - 3*q - 24. Let m be v(7). Solve -5*g = m*y - 15, -2*y + 3*g + 8 = -y for y. 5 Let o = 22 - 15. Solve 2*d = 5*h - o, 5*h = d - 6*d for d. -1 Suppose 5*g - 3*h + 12 = 39, 4*g = -3*h. Suppose 4*u - l = 36, 2*l + 24 = 4*u - 8. Let s be u/85 + 66/17. Solve 2*t - 8 = s*t + 4*a, 0 = g*a for t. -4 Let t = 23 - 17. Let j = 7 + t. Solve -3*b = c + j + 1, 4*b = 2*c - 12 for c. -2 Let h = 405 - 402. Solve -i + 5*o + 13 = -5*i, i = h*o + 1 for i. -2 Let z = -39 - -49. Let j be 9/(-6)*(-2 + z/15). Solve -10 = j*b + 5*p, 4*p + 8 = -3*b - 0*p for b. 0 Let r(n) = -7*n**3 + 3*n + 2. Let p be r(-1). Let b be ((p/(-4))/(-1))/((-1)/(-2)). Solve -2*h - 19 = 3*k - b, 5*h = 4*k - 17 for h. -5 Suppose 1 = 12*w + 1. Solve -3*v - 15 = w, -3*f + v + 10 = -4*v for f. -5 Suppose 57*y = 25*y + 96. Solve -y*x + 10 = -2*t, -3*t = -7*t - 3*x + 16 for t. 1 Let s be 1 - ((-1)/(-3) + (-80)/6). Suppose 0 = 6*p - s - 16. Solve -p = -5*g, b + 0*b = 2*g - 6 for b. -4 Let w(k) = 3*k + 30. Let g be w(-9). Solve 4*j + g*b + 8 = -0*b, b = -j - 2 for j. -2 Suppose 13*a = -2*a + 30. Solve p - 3*q - a = -12, -2 = -2*p - 5*q for p. -4 Let x be (-8)/(-44) - (-796)/(-22). Suppose 3*k = b + 4 + 35, 0 = -4*b + 3*k - 138. Let v = b - x. Solve 5*r + 5 = v*o, 0*o + 4*o = -r - 1 for r. -1 Let g(q) = -2*q**2 - 5*q + 15. Let t be g(-4). Solve 3*w - 5*b = -11, 5 = -5*w + 2*b + t*b for w. 3 Let x(t) = -t**3 - 4*t**2 + t + 1. Let w be x(-4). Let r be w/(-6) - (-12)/8. Suppose -r*c + 5 = -1. Solve v - 2*m = -v, c*v - 15 = -2*m for v. 3 Let i(c) = -36 + 3 - 27*c + c**3 - 8*c**2 - 20*c**2. Let b be i(29). Solve -5*q + 25 = 0, -5*q = r - 3*r - b for r. 0 Let c be (6/(-15))/(-1)*10. Suppose -108 = -8*v - 36. Suppose 4*m + 2*j - 20 - 6 = 0, -v = -3*j. Solve 5*f = -c*r + m, 4*f - 4 = r - 0 for r. 0 Let m(s) = -s**3 + 5*s**2 + 10*s + 32. Let t be m(7). Solve n + 3*a = 3*n + 1, -3*a - 1 = -t*n for n. 1 Suppose -2*c = c - 6. Suppose -q = -5 - c. Solve -5*m - 2*l - 15 = 3*l, 3*l = 5*m + q for m. -2 Let b be (-1)/((-3)/75 + 0). Suppose -2*k - 3*k + 2*l = -121, 0 = 2*k + 3*l - 56. Solve 5*s - 4*u - u = -b, 2*s = 5*u - k for s. 0 Let b(l) = -l + 7. Let x be b(6). Let w be ((-3)/6 - -1)*38*x. Solve j - 3*u - w = 0, 4*j + 5*u + 21 = 3*j for j. 4 Suppose -4*h + 3*k - 2*k - 62 = 0, -3*k = 4*h + 70. Let z(o) = -o**2 - 17*o - 13. Let v be z(h). Solve 3*l + 18 = -v*p, 3*l + 0*p - p = 2 for l. -1 Suppose 30 = 5*v + 10. Suppose -m + 7 = v. Solve 0*n + m*n + 3 = -3*t, 0 = t - 4*n - 9 for t. 1 Let y = 352 + -340. Solve -2*v - y = -5*t, -3*v - 3*t + 2 = -1 for v. -1 Let r be 1/(-3) - (-308)/42. Let n = -45 + 49. Let a = r - n. Solve -5*u - b = a + 17, 2*u = -5*b - 8 for u. -4 Let q be 2/(-20)*-198 + 2/10. Solve g + 10 = 5*f, 7*f - 2*f + g = q for f. 3 Let s be (-7)/(56/4)*(2 - 12). Solve 3*x = -2*i + 5*i - 24, -x + 16 = s*i for x. -4 Let g be 1*-7 + 72 + -60. Solve 0 = -3*u + 2*l - 16, -g + 0 = -l for u. -2 Let z = 46 - 42. Solve 16 = -5*w + z*v, -3*v - 4 = -3*w - 4*v for w. 0 Suppose 2*n + p - 9 = 5*n, -4*p + 12 = -4*n. Let g be 3 - (-4)/(-12)*n. Let v be ((-1)/((-1)/2))/1. Solve -5*c
{ "pile_set_name": "DM Mathematics" }
culate the lowest common multiple of 74 and 5. 370 Calculate the common denominator of -50/21 and 17/264. 1848 Calculate the common denominator of -5/161 and -31/253. 1771 Find the common denominator of -133/2880 and -91/72. 2880 What is the smallest common multiple of 4 and 2358? 4716 Calculate the common denominator of -83/28 and -13/686. 1372 Find the common denominator of 61/1512 and 85/648. 4536 Calculate the smallest common multiple of 8 and 10. 40 Calculate the lowest common multiple of 26 and 976. 12688 What is the common denominator of -19/297 and 43/297? 297 Calculate the common denominator of -28/27 and -47/99. 297 Calculate the common denominator of 63/905 and 37/11. 9955 Calculate the smallest common multiple of 1212 and 34. 20604 What is the common denominator of 95/16 and -49/128? 128 Calculate the common denominator of 37/30 and -91/972. 4860 Calculate the lowest common multiple of 1575 and 651. 48825 Calculate the smallest common multiple of 18 and 2266. 20394 Calculate the common denominator of -39/56 and -97/672. 672 Find the common denominator of 67/4 and 85/1664. 1664 What is the common denominator of 63/10 and -107/126? 630 Calculate the common denominator of 139/30 and 119/12. 60 What is the lowest common multiple of 12 and 60? 60 What is the common denominator of 89/6 and -53/210? 210 What is the smallest common multiple of 22 and 132? 132 What is the common denominator of -53/75 and 43/1110? 5550 What is the least common multiple of 20 and 75? 300 Find the common denominator of 23/25 and 37/1505. 7525 Calculate the smallest common multiple of 148 and 9. 1332 What is the smallest common multiple of 14 and 100? 700 What is the lowest common multiple of 1036 and 12? 3108 Find the common denominator of 57/41888 and -4/11. 41888 What is the lowest common multiple of 452 and 4? 452 Calculate the least common multiple of 564 and 14. 3948 Calculate the lowest common multiple of 3 and 3285. 3285 What is the least common multiple of 88 and 808? 8888 Calculate the least common multiple of 20 and 448. 2240 What is the common denominator of 125/84 and -23/360? 2520 What is the least common multiple of 5630 and 20? 11260 Calculate the smallest common multiple of 407 and 74. 814 Calculate the lowest common multiple of 43 and 1. 43 What is the common denominator of -89/3786 and -1/14? 26502 What is the common denominator of -25/16 and -157/1590? 12720 Calculate the smallest common multiple of 5853 and 4. 23412 What is the lowest common multiple of 756 and 24? 1512 Calculate the lowest common multiple of 1460 and 730. 1460 Calculate the common denominator of -37/504 and -143/84. 504 Calculate the common denominator of 19/20 and -51/188. 940 What is the common denominator of -49/407 and -2/1023? 37851 What is the smallest common multiple of 240 and 16? 240 Find the common denominator of -37/13 and 87/130. 130 Calculate the smallest common multiple of 80 and 105. 1680 Calculate the smallest common multiple of 5649 and 6. 11298 Calculate the common denominator of -41/320 and -25/56. 2240 Calculate the lowest common multiple of 64 and 544. 1088 What is the common denominator of -65/148 and -77/12? 444 Calculate the least common multiple of 1808 and 226. 1808 Calculate the smallest common multiple of 64 and 7. 448 What is the common denominator of -10/1161 and -9/86? 2322 What is the common denominator of 69/32 and -145/288? 288 Calculate the least common multiple of 91 and 130. 910 What is the smallest common multiple of 3448 and 16? 6896 What is the lowest common multiple of 9 and 508? 4572 What is the smallest common multiple of 255 and 51? 255 Find the common denominator of 41/216 and 59/972. 1944 Find the common denominator of -45/4 and 19/311. 1244 Find the common denominator of -1/159 and -62/21. 1113 Find the common denominator of 69/5246 and 85/8. 20984 Calculate the smallest common multiple of 15 and 960. 960 What is the common denominator of -57/196 and -51/70? 980 Find the common denominator of 99/6256 and -83/2346. 18768 What is the common denominator of 49/208 and -27/143? 2288 Calculate the common denominator of -33/70 and 79/126. 630 Calculate the common denominator of -145/84 and -65/3176. 66696 Find the common denominator of -95/98 and -47/56. 392 Find the common denominator of 157/126 and -18. 126 Find the common denominator of 51/10 and -81/1304. 6520 What is the common denominator of -85/18 and -99/8804? 79236 What is the common denominator of -46/865 and 54/35? 6055 Find the common denominator of -87/8 and -59/106. 424 Find the common denominator of 39/40 and -8/205. 1640 Calculate the common denominator of -41/350 and 113/112. 2800 What is the smallest common multiple of 176 and 143? 2288 What is the lowest common multiple of 61661 and 8? 493288 Calculate the common denominator of -9/2 and 63/122. 122 What is the smallest common multiple of 468 and 234? 468 Calculate the lowest common multiple of 10 and 258. 1290 What is the common denominator of 107/34 and -74/51? 102 Calculate the smallest common multiple of 279 and 217. 1953 Calculate the common denominator of -87/8 and -57/40. 40 Find the common denominator of -29/28 and -39/4. 28 What is the common denominator of 97/18 and 89/4500? 4500 Calculate the lowest common multiple of 2002 and 78. 6006 Calculate the smallest common multiple of 77 and 253. 1771 What is the common denominator of 15/7 and 22/4529? 4529 Find the common denominator of 149/444 and 137/84. 3108 What is the lowest common multiple of 360 and 162? 3240 Find the common denominator of -99/400 and 149/150. 1200 What is the lowest common multiple of 1931 and 12? 23172 What is the lowest common multiple of 4 and 2774? 5548 Calculate the least common multiple of 50 and 1450. 1450 Calculate the common denominator of -57/232 and 7/6. 696 What is the common denominator of -55/68 and 79/44? 748 What is the least common multiple of 2055 and 9? 6165 Calculate the least common multiple of 192 and 88. 2112 Calculate the least common multiple of 378 and 489. 61614 Calculate the common denominator of -47/7412 and -37/8. 14824 What is the smallest common multiple of 50 and 10? 50 Find the common denominator of 11/7280 and -59/910. 7280 What is the lowest common multiple of 99 and 957? 2871 Calculate the common denominator of -82/363 and -151/132. 1452 Calculate the least common multiple of 838 and 1. 838 Calculate the lowest common multiple of 49 and 11. 539 What is the smallest common multiple of 548 and 14? 3836 Calculate the common denominator of -73/80 and 31/15. 240 Find the common denominator of 13/660 and -101/240. 2640 What is the smallest common multiple of 208 and 16? 208 Calculate the smallest common multiple of 128 and 240. 1920 Calculate the common denominator of 57/146 and 55/18. 1314 Find the common denominator of 41/8 and 89/460. 920 Find the common denominator of 71/10 and 37/50. 50 What is the common denominator of 47/545 and -51/436? 2180 What is the smallest common multiple of 363 and 132? 1452 Find the common denominator of 43/2220 and 19/592. 8880 Calculate the common denominator of -11/752 and -137/228. 42864 What is the least common multiple of 42 and 1005? 14070 What is the common denominator of 11/4 and -32/149? 596 Calculate the common denominator of 47/136 and -97/176. 2992 What is the common denominator of -65/12 and 77/80? 240 What is the common denominator of 33/23 and -1/12? 276 What is the lowest common multiple of 2 and 7087? 14174 What is the smallest common multiple of 108 and 216? 216 Calculate the least common multiple of 12 and 506. 3036 Find the common denominator of -37/90 and -32/125. 2250 What is the common denominator of 25/177 and -25/5133? 5133 Calculate the common denominator of -57/4 and 13/5. 20 What is the common denominator of -143/540 and 125/252? 3780 What is the smallest common multiple of 128 and 704? 1408 What is the lowest common multiple of 51 and 378? 6426 Calculate the lowest common multiple of 752 and 11. 8272 Calculate the smallest common multiple of 12 and 816. 816 What is the common denominator of 9/224 and -83/210? 3360 Calculate the common denominator of -27/2 and -33/46. 46 What is the lowest common multiple of 180 and 9? 180 What is the smalle
{ "pile_set_name": "DM Mathematics" }
.5? 0.5 Let i be 42/(-8) - (-9 + 4). Let u be 11*33/9 + 0. Let w = u + -41. Which is the second smallest value? (a) w (b) i (c) -0.4 c Let u = -69 - -98. Let f = u - 33. What is the third smallest value in -0.4, -1, f? -0.4 Let g be -2*(0 + 4/(-40)). Let f be 0*(-4 - 0)/(-8). Suppose f = 4*k - 21 + 9. What is the third biggest value in g, 3/5, k? g Let j = 3.25 + -0.25. Let q = -1553/11 + 141. Which is the third smallest value? (a) j (b) -0.5 (c) q a Suppose -65*p = -63*p - 22. Let u = -50 - -197/4. Which is the second biggest value? (a) u (b) -2 (c) p a Suppose 0 = 3*o - 11*o. Suppose l + 6 = p, -5*l = -2*p - 2*p + 30. Let x be (-46)/(-10) + l/(-15). Which is the third biggest value? (a) o (b) -5 (c) x b Let p = 1777 + -1770. What is the smallest value in p, -0.054, 5, 1? -0.054 Let k(r) = r**2 - 5*r + 4. Let t be k(5). Let s = -0.2 + -1.8. Let l(f) = 3*f + 2. Let v be l(-2). Which is the biggest value? (a) s (b) v (c) t c Suppose -5*m - 22 = 3*a, 7*a + 2*m + 7 = 4*a. What is the biggest value in -1/3, -1.7, a, -1? a Let m = -150.9 + 137.9. What is the third smallest value in m, 2/9, -1, 1/8? 1/8 Let t be (2/18)/(13/(-39) - 0). Let s = 0.1 - -0.1. Let z = s + -0.5. Which is the biggest value? (a) 0.02 (b) t (c) z a Let y = 6 + -25. Let t = 19 + y. What is the third biggest value in 1/5, -2.1, t, 0.1? t Let i = -0.65 - -0.15. Let q be 15/(-18)*6/45. What is the biggest value in 2/11, i, q? 2/11 Let m be 2*4/3*3. Let t be (-1)/(-30) - m/40. Let x = -0.761 - 4.239. What is the smallest value in -4, t, x? x Let x = -16.45 - 0.55. What is the biggest value in x, 5, -0.1? 5 Let t = 771/4 + -193. Which is the second biggest value? (a) -3/4 (b) -5/3 (c) -1/8 (d) t d Let g be (-4)/(-14) + (-17)/35. Suppose 5*k + 2*d = 6*d - 13, -2*k = -4*d + 10. Which is the second smallest value? (a) k (b) -3 (c) g a Let d = 5 + -41. Let s = 38 + d. Which is the biggest value? (a) s (b) 4 (c) -0.1 b Let o = -0.3 - 0.2. Let r = -19 + 20.4. Let l = r + -0.4. What is the third biggest value in -2/9, l, o? o Let z = 4.4 + -0.4. Let l = -1298 + 22067/17. Which is the biggest value? (a) z (b) l (c) -0.5 (d) 0.2 a Let u(s) = 3*s - 101. Let n be u(31). Which is the second smallest value? (a) -4 (b) n (c) 0.1 (d) -0.1 a Let k(j) = -j**3 + 5*j - 2. Let w be k(2). What is the smallest value in 14, w, -0.5? -0.5 Let o = -11.3 + -85.7. Let j = o - -97.4. Which is the third biggest value? (a) j (b) -0.6 (c) 2 (d) 5 a Let k = -0.3582 - -0.0582. What is the fourth smallest value in k, 4, 2/13, -2/17? 4 Let g = -11.9 + 15.9. Which is the third smallest value? (a) g (b) -5 (c) -32 (d) 0.1 d Let v be 3/((-12)/(-10))*(-58)/87. Which is the second biggest value? (a) -28 (b) 2 (c) 0.1 (d) v c Let x = 9/46 - -113/69. Which is the smallest value? (a) x (b) 3/2 (c) 0 c Let f = 86 - 56. Let j = -32 + f. Which is the biggest value? (a) -3 (b) -0.4 (c) j b Let f = -9 - -21. Let q = f + -16. Let k = 0 - -4. Which is the third biggest value? (a) -2/7 (b) k (c) q c Let x = -2.06 + -2.94. Let o = 6 + -3. What is the third smallest value in x, -2/13, o? o Let a = 0.029 + 0.471. Let v = 0.285 + -0.085. What is the biggest value in -3/2, v, -1, a? a Let g = -12.53 - -12.49. What is the biggest value in g, 4/7, 6? 6 Let j = -595/22 - -27. Let n = 19/66 - j. Which is the second smallest value? (a) 3 (b) 0.8 (c) n (d) 0.4 d Suppose 4*w + 2*z - 32 + 12 = 0, -w + 4*z - 4 = 0. Let y = -2.8 - -3. Let o = 0.063 + -3.063. Which is the third biggest value? (a) o (b) w (c) y a Let y = -3.9 + -1.1. Let x = -31 - -31.576. Let v = x - 0.176. Which is the third smallest value? (a) v (b) y (c) 4 c Let f = -2/187 + 392/1683. Which is the third biggest value? (a) 0.63 (b) 0.4 (c) f c Let m = 37 + -147/4. Let t = 2.6 - 3.1. Let f = t - -0.2. What is the third biggest value in 3, m, f? f Let v = -1153.8 + 1154. What is the fourth biggest value in v, -3/5, -1/89, 0.5? -3/5 Let s be (9 + 19/(-2))*1. Which is the smallest value? (a) s (b) -34 (c) -1 b Suppose 5 = 5*n - 10. What is the smallest value in n, -5, -3, 2/35? -5 Let r(k) = -2*k + 2. Let a be r(2). Let y = -1596/583 - -68/53. Let o = y + 53/44. What is the biggest value in o, a, 2/3? 2/3 Suppose 0 = m + 2*m - 2718. Suppose -5*a = k + 447, -2*a = -0*k - 2*k - m. Let g = k + 3159/7. What is the third smallest value in 4, g, -3? 4 Let z = -4993/2 - -2495. What is the second smallest value in -2, 38, 1/9, z? z Let z = 377.4 - 377. What is the second biggest value in -2.17, z, 0.1? 0.1 Let n(z) = z**3 + 8*z**2 - 11*z. Let q be n(-9). Let f be q/(-24)*(-1)/(-3). Let a be -7*1 + (-3 - -6). What is the smallest value in 3/4, a, f? a Suppose 150 = 115*h - 425. Which is the biggest value? (a) h (b) -5 (c) 0 (d) 2 a Let f = -25 - -55. Let o = 30 - f. Which is the second biggest value? (a) -4/9 (b) o (c) 0.5 b Let l be 2*(-20)/32 - 5/(-15). Let t = -25/36 - l. What is the smallest value in t, -5, -7? -7 Let w = 53 + -51. Which is the third smallest value? (a) -1 (b) w (c) -0.4 b Let t be -1*1*(0 + -1). Let z be -3 - -4*(-5)/(-20). What is the third smallest value in 6, t, z? 6 Let c be (12/(-10))/((-36)/45). What is the third smallest value in c, 1/4, -2? c Let j = 61 + -547/9. Let v = 178 + -178.5. Which is the second biggest value? (a) j (b) 2/25 (c) v b Let z be (0 - (-6)/(-36))/((-1)/(-7)). Which is the second biggest value? (a) -4 (b) -0.1 (c) z c Let f be (-7)/(-14) + 38/(-4)*-1. Let y be 6/f + (-8)/20. Let g be 5/(-2) - 2/4. Which is the second smallest value? (a) -4 (b) g (c) y b Suppose -8 = -5*l - 38. Let n be (-5)/(-9)*l/(-20). Let m = 0.7 - 1.2. What is the smallest value in n, 0.2, m? m Let x(h) = h**3 + 4*h**2 - 2*h - 1. Let v be x(2). Suppose -3*s + v = -11. Suppose -s = -3*k + k. What is the smallest value in k, 1, -5? -5 Let z = -1.3531 - -0.3531. Let p = -3 - -2. Let x = -0.5 - p. What is the second smallest value in 3, z, x? x Let q = -6 - -1. Let i = 0.14 + -0.54. What is the fourth biggest value in q, -4, i, -0.2? q Suppose -11*q + 28*q - 85 = 0. Which is the biggest value? (a) 10/3 (b) q (c) 2/5 b Let n = -0.0139 + -0.0861. What is the third smallest value in 223, -2/9, n, 0.4? 0.4 Let s = -9 - -8.8. Let m be 6/(-12) + (198/48 - 4). Which is the smallest value? (a) s (b) m (c) -2/9 b Let o = -6 + 3. Let l = 1007 - 1007. Which is the second smallest value? (a) 2/9 (b) o (c) l (d) -2/7 d Let d = -13 - 9. Let i = d + 27. Which is the third biggest value? (a) i (b) -5/2 (c) 2/3 b Let z = -5408/3 + 1802. What is the third biggest value in -1/5, 5/2, z, -2? z Let a = -0.5 + 0.38. Let w = 44.92 + -41.8. Let j = a + w. What is the third smallest value in 0.3, 2, j? j Let c = 2 - 5. Let v be (2 + -4)*(-49)/343. What is the third smallest value in v, 0, 3, c? v Let j = 16 + -14. Let t = 0.5 + -0.43. Which is the third smallest value? (a) t (b) j (c) -0.5 b Let u = -1483 - -1482.5. What is the third biggest value in u, -0.2, 0.027, 0.2? -0.2 Let v be 3/(-36) + 6/(-36). What is the third biggest value in 2, 4, -5, v? v Let y = 2.02 - 0.02. Let s = -1.5 + y. Let w = -402 + 402. Which is the smallest value? (a) -5 (b) s (c) w a Let o = -15 + 17. Let d be (o + 0)*5/10. Let x be -2 - d/((-2)/3). What is the third smallest value in 0, -0.1, x? 0 Suppose 14*z = -8*z - 154. Let w be 7 + -9 - (-24)/10. Which is the second smallest value? (a) z (b) 2/3 (c) w c Suppose 4 + 36 = -10*d. What is the second biggest value in 9, 3, d, 0? 3 Let i(n) = 4*n + 47. Let w be i(-12). What is the fourth smallest value in 1, 2, w, -4? 2 Let n(y) be the first derivative of -y**3/3 - 11*y**2/2 - 19*y - 7. Let f be n(-8). Let x = 0.03 - 8.03. What is the third biggest value in f, 0.2, x? x Let w = 369 - 372. Which is the third biggest value? (a) -4 (b) 2/3 (c) w (d) 2/9 c Let n = 12 + -11.88. Let t = 3.88 + n. Suppose -3*v - 5*o = -29, 60 - 18 = 5*v + 2*o. What is the second biggest value in t, v, 2/11? t Let g be 2/(-3) + 864/(-1620). Which is the smallest value? (a) 1/11 (b) -0.31 (c) g (d) -1 c Let v = -2.36 + 2.46. Which is the third smallest value? (a) 4/7 (b) -1 (c) v a Let v = 22.6 - 18.09. Let z = -0.49 - v. What is the smallest value in 3, z, 0.1? z Let u(b)
{ "pile_set_name": "DM Mathematics" }
Let c be 5 + 19/(5/m). Calculate the greatest common factor of 6 and c. 6 Let g = -768 + 801. Calculate the greatest common factor of 1452 and g. 33 Suppose 4*s = 2*s + 38. Let d = -6 - -1. Let u = d - -62. Calculate the highest common factor of s and u. 19 Let m(t) = 28*t - 105. Let c be m(13). What is the highest common factor of 37 and c? 37 Let n be 4257/36*1/(3/12). What is the greatest common factor of n and 172? 43 Let w be ((-3)/4)/(6/(-96)). Let d = 270 - 138. Calculate the highest common factor of d and w. 12 Suppose 5*m = 4*z - 2*z - 37, 5*m = -4*z + 119. What is the greatest common divisor of z and 13? 13 Let a = -170 - -118. Let s = a + 60. Calculate the highest common divisor of s and 4. 4 Let m be 13 + -14 - (-1958 + -6). What is the greatest common divisor of m and 13? 13 Suppose 15 - 13 = g. Let w be (g - -6)/(-2) + 5. What is the highest common divisor of w and 1? 1 Let q(z) = 3*z**2 - 11*z - 3. Let j(n) = -8*n**2 + 33*n + 9. Let l(u) = 4*j(u) + 11*q(u). Let h be l(-12). Calculate the greatest common factor of h and 30. 15 Let i be ((-4)/(-6))/((-8)/(-84)) - -643. What is the highest common divisor of 150 and i? 50 Let n be -1 + (7/(-21) - (-40)/3). Let u = 25 - 13. What is the highest common factor of u and n? 12 Suppose 4*u - 28 = s, -4 = -4*u + 3*s + 32. Let z(q) = -q**3 - 5*q**2 + 6*q + 10. Let x be z(-7). What is the greatest common divisor of u and x? 6 Let i(t) = -t**2 + 4*t + 15. Let a = 89 - 83. Let h be i(a). Calculate the highest common divisor of 27 and h. 3 Let v = 20 + -199. Let o = -140 - v. Calculate the highest common divisor of o and 3. 3 Let i = 8 - 5. Suppose 0 = -3*u - 5*y + 33, -i*u + 15 = y - 6. Let x be u/14 - (-683)/7. What is the greatest common divisor of x and 14? 14 Let g be (1 - -3 - -1) + 3. Calculate the greatest common factor of g and 72. 8 Let n = 710 + -699. What is the greatest common divisor of n and 341? 11 Suppose -7 = 2*q - 27. Suppose -10 = -y + q. Suppose y - 5 = 5*b. What is the greatest common factor of 9 and b? 3 Suppose -2*f + 0*f = -f. Suppose 5*s - 138 + 28 = f. What is the greatest common divisor of s and 11? 11 Suppose -4*z + 20 = 0, 3*i - 31 = -0*i + z. Suppose 9*s = 10*s - i. Calculate the greatest common factor of 18 and s. 6 Suppose -2*m - 4*o + 0*o - 18 = 0, -3*o - 8 = -4*m. Let v(a) = 144*a**2 - 3*a - 2. Let j be v(m). What is the greatest common divisor of 29 and j? 29 Suppose 23*c + 110 = 28*c. Calculate the greatest common factor of 2 and c. 2 Let i(m) = -7*m + 1. Let k be i(-1). Let p be (-6)/k - -67*5/20. Calculate the greatest common factor of 128 and p. 16 Suppose 4*f - 4*a - 188 = 0, -3*f - 2*a - a + 147 = 0. Let p(g) = -4*g + 4. Let t be p(6). Let d = t + 44. What is the greatest common divisor of f and d? 24 Let g = 377 - 331. What is the highest common factor of 414 and g? 46 Let u(t) = -2*t**2 - t + 35. Let v = 27 + -27. Let n be u(v). Calculate the highest common divisor of n and 14. 7 Let f be (-54)/12*8/(-6)*13. Calculate the greatest common divisor of 4 and f. 2 Let z = 444 - 417. What is the greatest common factor of 36 and z? 9 Let q be 3/6 - (-2)/8*6. Suppose 0*j + 10 = 5*j - s, -q*j + 4 = 3*s. Let v = 11 + -8. What is the greatest common divisor of v and j? 1 Let g = 7 - -6. Suppose -47 + 50 = m. Suppose -4*n + m*n = -g. Calculate the greatest common divisor of 65 and n. 13 Suppose 3*a - 4*d = 17, -4*a - 3 = 5*d - 5. Calculate the greatest common factor of 96 and a. 3 Let f be (21/4 - 1)/((-145)/(-580)). What is the highest common factor of f and 544? 17 Suppose -v + 88 = -2*m, 2*m - 3*m = 2*v - 176. Let u be (-3)/6*2*-11. Calculate the greatest common divisor of v and u. 11 Let b(d) = -4 - 251*d + 248*d + 6*d**2 + 0*d**2 - d**3. Let q be b(4). Let t be (-3)/(-1 + (-13)/(-16)). What is the highest common factor of q and t? 16 Let d = -18 + 19. Let m(f) = -f**2 - 14*f - 23. Let l be m(-12). Calculate the greatest common factor of l and d. 1 Suppose i - 3*u = 2, -4*i + u + 4 = -3*i. Let h = i + -2. Let f be (9/2)/h*2. What is the highest common factor of f and 15? 3 Let k(j) = j**3 + 6*j**2 - 7*j - 7. Let d be k(-6). Let c be 6 + 5 + -3*8/6. Calculate the highest common factor of d and c. 7 Suppose 4*n + 259 = -5*j + 42, -5*n = -4*j + 261. Let x = -33 + -1. Let r = x - n. Calculate the greatest common factor of r and 171. 19 Let r be (-13 - -8)*6/(-10) - -26. Let c = -244 + 360. Calculate the greatest common divisor of c and r. 29 Suppose -3*w - 15 - 4 = -5*f, w = 5*f - 13. Suppose 0 = f*o + 2*o - 204. Suppose -3*g = -y + o, -y + g = 5*g - 30. What is the highest common factor of y and 6? 6 Suppose 22034 = 5*g + 5*f - 3*f, 0 = 5*f + 15. Let r be g/20 - 2/5. What is the highest common divisor of r and 20? 20 Let w be (-10)/((-250)/(-395))*-10. Calculate the highest common factor of w and 1185. 79 Let t = -44 - -46. Let z = 58 + t. What is the greatest common divisor of z and 24? 12 Let i be ((-6)/4)/(4 - 460/112). Let a(h) = 3*h**2 - 6*h - 2. Let o be a(-4). Calculate the greatest common divisor of i and o. 14 Let i(b) = -b**2 + 8*b - 1. Let d be i(6). Let w(u) = -u**3 - 5*u - 7. Let q be w(-4). Calculate the greatest common divisor of q and d. 11 Let b be 4 - (-3 + 2) - (-75 + -1). Calculate the highest common divisor of b and 63. 9 Suppose 8*x - 255 = 97. Let i be ((-242)/x)/((-1)/18). What is the highest common divisor of 22 and i? 11 Let x be 3/((-3028)/608 + 5). What is the greatest common factor of x and 8? 8 Let f be ((-2847)/26)/(2/4). Let k = -142 - f. Suppose 5*v = 28 + 7. What is the highest common divisor of k and v? 7 Let z be (9/18)/((-50)/320)*(-3 - 2). Let d = 181 + -117. Calculate the highest common factor of d and z. 16 Suppose -15*c = 375 - 930. Calculate the highest common factor of c and 1. 1 Let y = -17 - -8. Let u be 6*((-3)/y + 0). Suppose -2*a = u*a - 36. Calculate the highest common factor of 9 and a. 9 Let g = 575 - 467. What is the highest common divisor of g and 972? 108 Let b = 460 - 271. What is the highest common divisor of b and 14? 7 Let l = -7 - -4. Let h be (1 - 2)/(l/(-141)). Let p = 105 - h. What is the greatest common divisor of 19 and p? 19 Suppose -23*w + 27 = -22*w. Suppose -d + 0 = -2. Suppose d*t - 9 = t. What is the highest common divisor of t and w? 9 Let b(h) = -3*h**2 + 190*h - 38. Let p be b(51). What is the greatest common divisor of 86 and p? 43 Suppose -63 = -5*r + 4*w, -2*r = 5*w - 2*w - 39. Suppose 1 - 31 = -r*l. What is the highest common factor of l and 1? 1 Let k be (-36)/66 + (-4242)/(-33). Calculate the highest common divisor of k and 48. 16 Suppose -3160 = 25*l - 65*l. What is the greatest common divisor of 237 and l? 79 Let m(o) = 2*o - 8. Let x be 116/6 + 10/15 + -1. Let c be m(x). What is the greatest common factor of c and 20? 10 Suppose -10324 = -10*f - 9184. What is the highest common factor of 1140 and f? 114 Let k(c) = -c**2 + 68*c + 12. Let n be k(66). Calculate the highest common divisor of n and 32. 16 Let c(j) = -18*j - 708. Let o be c(-51). Calculate the highest common factor of o and 56. 14 Let b = -74 + 38. Let x = b + 42. Calculate the greatest common divisor of x and 6. 6 Suppose 6*z + 14 = 446. Calculate the greatest common factor of 48 and z. 24 Let d = -15 - -26. Let u(o) = o**2 - 3*o - 6. Let y be -4*((-20)/(-16) - 3). Let a be u(y). What is the highest common divisor of a and d? 11 Let v(m) = -10*m - 610. Let g be v(-70). What is the highest common factor of 198 and g? 18 Let u = -50 + 52. Let x be (300/(-18))/(u/(-3)). Calculate the greatest common divisor of x and 10. 5 Let u = -2306 - -2502. Calculate the greatest common divisor of u and 364. 28 Let z = 126 + -72. Suppose 7*m = m + z. Suppose -94 = -7*l + 32. Calculate the greatest common divisor of m and l. 9 Let n(v) = 2*v**2 - 4*v. Let j be n(-5). Suppose 5*b - 175 = 5*u, 5*u - 2*u - 140 = -4*b. Calculate the highest common divisor of b and j. 35 Let q(x) = 2*x - 48. Let v be q(20). Let u be ((-18)/v)/(-9) + (-1066)/(-8). Calculate the greatest common divisor of u and 19. 19 Suppose -5*t - 189 + 4 = 0. Let w = 39 + t. Calculate the highest common factor of w and 22. 2 Let j(q) = -q**3 - 7*q**2 - q. Suppose -5*o = 52 - 17. Let s be j(o). Calculate the greatest common divisor of 63 and s. 7 Let h be -5 - 1 - -27*28
{ "pile_set_name": "DM Mathematics" }
136 Two letters picked without replacement from occgjjacassc. Give prob of picking 1 g and 1 c. 2/33 Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {l: 2, n: 4, w: 1}. 2/21 Two letters picked without replacement from {b: 1, a: 2, z: 3, k: 1}. Give prob of picking 2 a. 1/21 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {g: 1, r: 2, j: 1, x: 1, h: 1, c: 2}. 1/14 What is prob of picking 1 i, 1 y, and 1 m when three letters picked without replacement from {m: 2, y: 1, l: 6, f: 4, i: 3}? 3/280 What is prob of picking 2 u and 1 y when three letters picked without replacement from {l: 1, y: 3, q: 1, u: 6, e: 6}? 9/136 What is prob of picking 1 l and 1 e when two letters picked without replacement from gvvvgvveleglg? 2/39 Calculate prob of picking 1 y and 3 k when four letters picked without replacement from {y: 7, k: 5}. 14/99 Four letters picked without replacement from {z: 2, i: 7}. Give prob of picking 2 z and 2 i. 1/6 Two letters picked without replacement from cxxcmimcmmmtmm. Give prob of picking 1 m and 1 i. 1/13 What is prob of picking 1 c and 1 i when two letters picked without replacement from {c: 4, j: 1, f: 1, i: 1, o: 2}? 1/9 Two letters picked without replacement from {x: 2, z: 1, h: 2, j: 4, o: 1}. What is prob of picking 2 j? 2/15 Two letters picked without replacement from {n: 5, w: 1, q: 2, r: 1, z: 3}. Give prob of picking 1 w and 1 z. 1/22 Two letters picked without replacement from {x: 1, w: 2, g: 2}. What is prob of picking 2 g? 1/10 Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {q: 6, i: 4, v: 1, d: 2}. 1/13 Three letters picked without replacement from gaaaggg. Give prob of picking 1 g and 2 a. 12/35 Three letters picked without replacement from {q: 2, h: 1, f: 2, t: 2, k: 8, l: 2}. What is prob of picking 1 k and 2 l? 1/85 What is prob of picking 2 h and 1 l when three letters picked without replacement from {l: 4, h: 2, y: 1}? 4/35 What is prob of picking 1 o and 1 x when two letters picked without replacement from tooqxookkqoo? 1/11 Calculate prob of picking 3 m when three letters picked without replacement from mmmmm. 1 Two letters picked without replacement from mrqcqrr. Give prob of picking 1 c and 1 q. 2/21 Two letters picked without replacement from mgmmacccmmcgm. Give prob of picking 2 g. 1/78 Two letters picked without replacement from {e: 1, n: 2, o: 2, b: 1, g: 1}. What is prob of picking 1 g and 1 b? 1/21 Three letters picked without replacement from {q: 1, p: 2, t: 1, d: 2, g: 1, w: 1}. What is prob of picking 1 t, 1 g, and 1 q? 1/56 Four letters picked without replacement from kkkkffkkkkkkkkkfkffk. Give prob of picking 2 k and 2 f. 70/323 Three letters picked without replacement from {p: 1, o: 4, u: 1, t: 7}. What is prob of picking 2 o and 1 u? 3/143 Three letters picked without replacement from mrufu. Give prob of picking 1 u, 1 f, and 1 r. 1/5 What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 15, j: 3, r: 2}? 9/38 Two letters picked without replacement from {b: 5, t: 1, h: 4}. What is prob of picking 2 b? 2/9 Two letters picked without replacement from ccddddccdecedd. Give prob of picking 1 e and 1 d. 2/13 Two letters picked without replacement from {w: 2, d: 4, p: 1, h: 3}. Give prob of picking 1 d and 1 w. 8/45 Two letters picked without replacement from zffffufjfjfajjpff. What is prob of picking 1 u and 1 z? 1/136 Four letters picked without replacement from {m: 5, h: 7}. Give prob of picking 4 m. 1/99 Two letters picked without replacement from {m: 6, v: 2, b: 4, q: 1}. What is prob of picking 1 b and 1 q? 2/39 Two letters picked without replacement from zzzzzzzzzzzzzczzczzz. What is prob of picking 2 z? 153/190 Two letters picked without replacement from {w: 1, r: 1, e: 1, b: 4, l: 1}. What is prob of picking 1 r and 1 e? 1/28 What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 2, b: 10}? 10/33 Two letters picked without replacement from {d: 3, c: 11}. What is prob of picking 2 d? 3/91 Two letters picked without replacement from {m: 4, r: 1, g: 2, f: 1, s: 2}. Give prob of picking 1 r and 1 g. 2/45 What is prob of picking 1 l, 2 x, and 1 r when four letters picked without replacement from {z: 1, l: 1, r: 1, n: 1, m: 1, x: 2}? 1/35 Two letters picked without replacement from hsfhisfyjsh. Give prob of picking 1 i and 1 j. 1/55 What is prob of picking 2 a when two letters picked without replacement from aaam? 1/2 Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, q: 3}. 5/28 What is prob of picking 3 t when three letters picked without replacement from {d: 5, t: 7, e: 2}? 5/52 What is prob of picking 1 x, 2 y, and 1 j when four letters picked without replacement from {n: 1, y: 1, o: 4, j: 1, x: 8}? 0 Three letters picked without replacement from {h: 1, n: 2, d: 2, s: 1, x: 6, c: 6}. What is prob of picking 2 c and 1 d? 5/136 What is prob of picking 1 t and 1 b when two letters picked without replacement from btt? 2/3 Two letters picked without replacement from {c: 4, w: 6}. Give prob of picking 2 w. 1/3 What is prob of picking 2 f and 2 t when four letters picked without replacement from {f: 3, z: 11, x: 1, t: 4}? 3/646 Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {u: 2, v: 2, q: 2, g: 2, i: 4}. 1/110 Calculate prob of picking 3 m when three letters picked without replacement from {d: 7, h: 4, m: 3}. 1/364 Four letters picked without replacement from {p: 5, f: 2, u: 1, n: 8}. What is prob of picking 1 p, 2 f, and 1 n? 2/91 Two letters picked without replacement from {b: 3, v: 1, n: 5, i: 1, t: 1, a: 2}. Give prob of picking 1 i and 1 a. 1/39 Four letters picked without replacement from {u: 3, n: 2}. Give prob of picking 2 u and 2 n. 3/5 What is prob of picking 1 r and 2 x when three letters picked without replacement from {r: 2, x: 17}? 16/57 Three letters picked without replacement from nknakkyagkakkikia. What is prob of picking 2 i and 1 g? 1/680 Calculate prob of picking 2 b, 1 f, and 1 o when four letters picked without replacement from fbbbo. 3/5 Two letters picked without replacement from {t: 1, z: 1, u: 4, v: 2, c: 3}. Give prob of picking 1 u and 1 c. 12/55 Three letters picked without replacement from ieuzuzuul. What is prob of picking 1 e and 2 z? 1/84 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from iribribb. 3/14 Three letters picked without replacement from knaxjjk. Give prob of picking 1 n, 1 a, and 1 x. 1/35 Three letters picked without replacement from {k: 4, n: 7}. Give prob of picking 2 k and 1 n. 14/55 Two letters picked without replacement from {g: 4, j: 2, y: 8, l: 1}. What is prob of picking 1 j and 1 l? 2/105 Two letters picked without replacement from {w: 2, z: 2, u: 2}. What is prob of picking 1 u and 1 w? 4/15 Four letters picked without replacement from dqqqtnqdqj. What is prob of picking 1 d and 3 q? 2/21 Three letters picked without replacement from fuufudurffuuur. What is prob of picking 3 f? 1/91 What is prob of picking 4 u when four letters picked without replacement from ucuuuuuccccuuu? 18/143 Three letters picked without replacement from wwwkkw. What is prob of picking 3 w? 1/5 Calculate prob of picking 1 p and 2 o when three letters picked without replacement from xzxffozzxpxxpoxppxf. 4/969 Two letters picked without replacement from iaiaaiaaaiiaiaaaaaa. Give prob of picking 2 a. 26/57 Four letters picked without replacement from {q: 4, a: 8, h: 2}. Give prob of picking 2 h and 2 q. 6/1001 Three letters picked without replacement from {o: 5, j: 1, q: 6, p: 3, y: 1, n: 3}. Give prob of picking 1 n and 2 o. 10/323 Calculate prob of picking 1 a, 1 h, and 1 d when three letters picked without replacement from {j: 4, a: 1, h: 1, d: 2, e: 3}. 2/165 What is prob of picking 2 u when two letters picked without replacement from {y: 4, r: 6, u: 2, a: 4, k: 1}? 1/136 Two letters picked without replacement from nkkjncnkzknnxk. Give prob of picking 2 n. 10/91 Two letters picked without replacement from {m: 2, e: 2, x: 7, q: 1}. What is prob of picking 1 x and 1 e? 7/33 Wh
{ "pile_set_name": "DM Mathematics" }
is -404 - 1552? -2400 In base 10, what is 34 + -734? -700 In base 7, what is -11 - -34132? 34121 In base 11, what is 3 - -10a06? 10a09 In base 2, what is -101 + 1101001001101010? 1101001001100101 In base 13, what is b + -89? -7b In base 6, what is 113152 + 5? 113201 In base 6, what is 5 + -355222? -355213 In base 5, what is 0 - -210200302? 210200302 In base 10, what is -47602 + -25? -47627 In base 4, what is 102211213 + 0? 102211213 In base 4, what is 30303001 - -3? 30303010 In base 5, what is 44113 + 2400? 102013 In base 8, what is 0 + 446643? 446643 In base 2, what is -100111111000111111111 + -10? -100111111001000000001 In base 13, what is 90 + -22a? -16a In base 4, what is 21 - -1023120? 1023201 In base 5, what is 433423 - 222? 433201 In base 12, what is -5 - -35134? 3512b In base 15, what is 93e - -4? 943 In base 5, what is 220420232 - 10? 220420222 In base 12, what is -2331 - -9? -2324 In base 11, what is -24 - 40961? -40985 In base 13, what is -4 + 125cb? 125c7 In base 2, what is -11100101 + 1010010? -10010011 In base 5, what is -4130 + 234? -3341 In base 12, what is -45508 + -2? -4550a In base 11, what is 51754 + 1? 51755 In base 5, what is 1 - 312314411? -312314410 In base 16, what is -77f - -c6? -6b9 In base 2, what is -11010010101111111 + 1100? -11010010101110011 In base 7, what is -25644202 - 3? -25644205 In base 6, what is -123001205 - -3? -123001202 In base 6, what is 240244 + -5? 240235 In base 12, what is 2 + 1343ba? 134400 In base 6, what is 211042 + -5? 211033 In base 11, what is 204 - -47? 250 In base 14, what is 52 - 423? -3b1 In base 9, what is -1 - -16138? 16137 In base 4, what is 1003 + 112021? 113030 In base 2, what is -10 - 10011101110? -10011110000 In base 14, what is 1 + -266b9? -266b8 In base 3, what is 2 - 1010000010? -1010000001 In base 3, what is -1202 + -111122010? -111200212 In base 12, what is 11599 - 2? 11597 In base 8, what is 7 - 71375? -71366 In base 8, what is -2 - -272732? 272730 In base 5, what is -124042 + -3301? -132343 In base 8, what is 46627 + 35? 46664 In base 7, what is 104 - 50353? -50246 In base 7, what is 52616 + -10? 52606 In base 15, what is 7b98 + 1? 7b99 In base 2, what is 0 + -101111100101000? -101111100101000 In base 15, what is -1 + -413ee? -41400 In base 13, what is -44b + -31b? -769 In base 3, what is -1111022100210 - 0? -1111022100210 In base 8, what is -2 - -346272? 346270 In base 2, what is -101 - -110101100000100? 110101011111111 In base 3, what is 12 + -10221220020? -10221220001 In base 16, what is 1e9 - 19? 1d0 In base 11, what is -34649 + -4? -34652 In base 8, what is 1136432 - 0? 1136432 In base 7, what is 6 - -1103014? 1103023 In base 3, what is 102 + -222111022? -222110220 In base 12, what is -316615 + 2? -316613 In base 10, what is 1214 + 1729? 2943 In base 4, what is 120310200 + 10? 120310210 In base 7, what is 1246 - 0? 1246 In base 2, what is 1 + -10011010110100000110? -10011010110100000101 In base 15, what is 3c4e3 - -1? 3c4e4 In base 6, what is 31251 - -1? 31252 In base 13, what is 34 + -34b0a? -34aa6 In base 2, what is 11110000000 - -10? 11110000010 In base 7, what is 1322033 + 14? 1322050 In base 16, what is -37 + -29f? -2d6 In base 16, what is 1e8 + 16a? 352 In base 12, what is -4 - -130858? 130854 In base 8, what is 2 + 1113? 1115 In base 15, what is 6257c - -4? 62581 In base 13, what is 13510 - -5? 13515 In base 7, what is 4 - 415223? -415216 In base 15, what is 58376 + 4? 5837a In base 3, what is 111222111111 - -1? 111222111112 In base 9, what is -4 - -87820? 87815 In base 3, what is -20 + -22121110? -22121200 In base 4, what is 310 + -301223? -300313 In base 3, what is 20210222112 + 11? 20210222200 In base 11, what is -379 - -2651? 2283 In base 16, what is -1 - -37ea6? 37ea5 In base 3, what is -2 - 2222022210? -2222022212 In base 8, what is 3463 + -55? 3406 In base 5, what is -1131 - -32? -1044 In base 14, what is 19 - 268? -24d In base 9, what is 1074 + -1055? 18 In base 16, what is -1e9 + 19? -1d0 In base 6, what is -2051 + -102? -2153 In base 2, what is 1001111111100111 - 101? 1001111111100010 In base 5, what is 1033303 - 100? 1033203 In base 8, what is -161154 + -5? -161161 In base 9, what is -4 + 177764? 177760 In base 8, what is 472 + -543? -51 In base 6, what is -50315 - 5? -50324 In base 14, what is -33 - -1721? 16cc In base 12, what is 60 - 310? -270 In base 11, what is 41a9a0 + -2? 41a999 In base 13, what is 1127c6 + -3? 1127c3 In base 2, what is -101111000 + -10110010? -1000101010 In base 8, what is -205640 - -4? -205634 In base 3, what is 1020020111 - -2010? 1020022121 In base 10, what is -81864 - 5? -81869 In base 9, what is 20108 + -4? 20104 In base 12, what is 3 + -10106? -10103 In base 2, what is 1011 - -100011101? 100101000 In base 5, what is -133242 + 2? -133240 In base 6, what is 441033 - 4? 441025 In base 12, what is -11b - 6? -125 In base 14, what is 7 + 6c9? 6d2 In base 11, what is 691a - 13? 6907 In base 9, what is -15 + 21146? 21131 In base 2, what is 101 + -11101010101011? -11101010100110 In base 14, what is -94ac + -cc? -959a In base 4, what is 220 + -12? 202 In base 15, what is -21 + 38ae? 388d In base 14, what is ddb + -b? dd0 In base 5, what is -3 + -3430242? -3430300 In base 5, what is -21110204 - -4? -21110200 In base 11, what is 1a02a0 - -1? 1a02a1 In base 8, what is 3202 - -6? 3210 In base 11, what is -70632 - -11? -70621 In base 14, what is 1cb5a + -4? 1cb56 In base 2, what is 10111111011111 - -11? 10111111100010 In base 10, what is 101999 + 4? 102003 In base 10, what is 49962 + 8? 49970 In base 12, what is -2a3a - 23? -2a61 In base 2, what is -101101010110000101 + -110? -101101010110001011 In base 15, what is 2 - -541a9? 541ab In base 6, what is -42312 - 141? -42453 In base 11, what is 1 + 37302? 37303 In base 4, what is -310311 - 32? -311003 In base 12, what is -1 - 827a? -827b In base 6, what is -20451 - -250? -20201 In base 14, what is -1079 + 10? -1069 In base 7, what is 602003 + 6? 602012 In base 3, what is 1012022121111 - -12? 1012022121200 In base 7, what is 116 - -461616? 462035 In base 7, what is -3 - -162022? 162016 In base 12, what is -a13a7 - 1? -a13a8 In base 6, what is 1 - 540201? -540200 In base 2, what is 10010010000111001 - -1011? 10010010001000100 In base 5, what is 1 + -444404? -444403 In base 8, what is -4 + 25775? 25771 In base 12, what is 1744 + 4? 1748 In base 8, what is -5 - -204114? 204107 In base 4, what is 10 + 30020332? 30021002 In base 11, what is -3 + -454a7? -454aa In base 5, what is 1442 - -124? 2121 In base 12, what is 5 - 803? -7ba In base 12, what is 0 + -8a17? -8a17 In base 6, what is -545 + 1221? 232 In base 10, what is -4 - -143029? 143025 In base 10, what is 70 - -2622? 2692 In base 6, what is 550 - -21443? 22433 In base 8, what is 13 - 56426? -56413 In base 3, what is -10 - 1120112120? -1120112200 In base 5, what is 430 - 132? 243 In base 15, what is -2199 + 0? -2199 In base 5, what is -3 - 103421322? -103421330 In base 14, what is 4321 - -4? 4325 In base 7, what is -5420 - 32? -5452 In base 15, what is cbcb + -1? cbca In base 3, what is 20111 - -220101? 1010212 In base 10, what is 272 - 65? 207 In base 5, what is -30221 + -41? -30312 In base 2, what is 10011011001 + -1000101? 10010010100 In base 7, what is -1241 - 164? -1435 In base 10, what is -1647 + 13? -1634 In base 12, what is -24b623 + 3? -24b620 In base 8, what is 6225502 - -2? 6225504 In base 7, what is -12235 - 4? -12242 In base 16, what is 74 + -d1? -5d In base 11, what is -591 - 466? -a47 In base 4, what is -2133 + -10032? -12231 In base 5, what is 2222 - -11? 2233 In base 2, what is 1 - 110101001001001010? -110101001001001001 In base 5, what is -3 + 32201221? 32201213 In base 3, what is 2100222011101 - -1? 2100222011102 In base 15, what is 15 + 7b94? 7ba9 In base 8, what is 5660 + -67? 5571 In base 12, what is 152a088 - -2? 152a08a In base 7, what is -1032414 - -2? -1032412 In base 6, what is 25 - -21014? 21043 In base 4, what is 11 - -2103101? 2103112 In base 6, what is 3225 - 2302? 523 In base 6, what is -33353 + 305? -33044 In base 7, what is 0 + -526205? -526205 In base 15, what is 14c - 183? -36 In base 3, what is -200 - -2110000? 2102100 In base 3, what is 100 + 220120220? 220121020 In base 10, what is -825 - 1155?
{ "pile_set_name": "DM Mathematics" }
) -0.5 (c) o c Let r = -402/5 + 80. Let u = 947/2 - 16574/35. Let h = 19/210 - u. Which is the closest to 0? (a) h (b) r (c) 1/5 a Let a(w) = -6*w**2 + 4*w + 3. Let i be a(-2). Let f = i + 146/5. Let m = -10 - -9.9. What is the nearest to f in 1/3, 1/6, m? 1/6 Let d(h) = -42*h**2 + 30*h - 13. Let g be d(6). Let j = g + 1345. Suppose 0*f + f + 4*k + 5 = 0, 5*f - 2*k - 19 = 0. What is the nearest to -2/5 in j, f, -0.1? -0.1 Let k = -2358 + 2369.53. Let q = -10 - 1.6. Let b = k + q. What is the nearest to b in 1/5, 1, 4? 1/5 Let u = -44 - -219/5. Let f = -24/13 + 107/65. Let n be (20/(-7))/5 - 14/(-21). Which is the closest to f? (a) 4 (b) u (c) n b Let q = -3128.4 - -3127. What is the nearest to -0.1 in q, -4, 1/22? 1/22 Let z = 261 + -256.585. Let f = z + -0.415. Which is the closest to f? (a) 0.5 (b) 5 (c) -4 b Let f = -29/524 + -671/6812. What is the closest to -8/59 in -0.2, -5, f? f Let s = 0.07 + -0.08. Let i = s + -0.29. Let f = 5.43 - 5.53. Which is the closest to 2? (a) f (b) i (c) 3 c Let g be ((-1272)/80 - -7) + 9. Which is the closest to 9? (a) g (b) -8 (c) 0 (d) 3 d Let g = -14746.6 - -14752.6. Let n be ((-9)/5 + 2)*-1. What is the nearest to n in g, 1, -1? -1 Let r be ((-27)/117)/((-3)/10). Let a = r - 56/39. Let k be (1 - 0)*(-22)/187. What is the nearest to a in -4, -6, k? k Let s = 1.41857 - 0.41857. Let n(v) = v**2 + 4*v - 7. Let r be n(-6). Which is the closest to s? (a) r (b) 246 (c) 0 c Let m = -72.43 + -0.07. Let x = 72 + m. Let p = 8.9 - 9. What is the nearest to p in x, -7, -1? x Let u = 234.07 - 234. Let s = u + -5.07. Which is the closest to -1/5? (a) 2/7 (b) s (c) -0.02 c Let l = -0.333 + -3.667. Let j = -665 + 663. Which is the nearest to 0? (a) j (b) -1 (c) 14 (d) l b Let g = -1.007 - -1.207. Let p = -0.2 + 0.24. Let u = p - 3.04. Which is the closest to g? (a) 0.4 (b) -1 (c) u a Let f = -113 + 150. Let c = 37 - f. What is the nearest to 0 in 0.01, c, -0.3? c Let i(j) = 2*j. Let b be i(1). Suppose -3*a = 3*f + 90, -4*f - 2*a + 0*a = 126. Let n = 36 + f. What is the nearest to b in -1/20, n, 3/8? n Let f = -116 - -123.8. Let l = 5.6 + f. Let r = l + -16.4. Which is the closest to 0.2? (a) 1/2 (b) r (c) -6 a Let m be 12/(-63)*(-3)/(-2). Let n(o) = o**2 + 9*o + 3. Let v be n(-6). Let x be (6/v)/((-27)/45). Which is the nearest to -3? (a) 4 (b) x (c) m c Let h be (-10)/6*(-1)/5. Let d = 2077/24 - 687/8. What is the closest to h in -2, -1, d? d Suppose 2*y - 12*u + 13*u - 1 = 0, 2*u + 16 = 2*y. What is the nearest to y in -3/4, -2, -7/5, 4? 4 Let o = 17.736 + -7.736. Which is the closest to -3? (a) -1 (b) 2 (c) -0.4 (d) o a Let z = 0.3 - 2.3. Let h = 6992 + -6991.4. Which is the nearest to -0.3? (a) -3 (b) 2 (c) h (d) z c Let z(j) = -3*j**3 + 53*j**2 + 16*j + 31. Let b = -144 - -162. Let q be z(b). What is the closest to -18 in -1/4, 0.2, q? q Let x = 1 - 3. Let z be (-1*(-1 - x))/(-2). Let d = -487/35 + 96/7. What is the nearest to z in 1, 3, d? 1 Let c be 697/(-615) - (-2)/15. What is the closest to c in 120, 2, -0.3? -0.3 Suppose -49 + 37 = -4*y + 3*q, 0 = 2*q - 8. Which is the closest to y? (a) -8 (b) -1 (c) -4 (d) 1 d Let z = -38.68 + 38.68. What is the closest to z in -3, -0.3, -2/13, -0.5? -2/13 Let t = -144 - -121.9. Let j = t + 22.8. What is the nearest to -0.1 in -1, j, -1/4? -1/4 Let x = 0.00341 - -2.99659. Let j be ((-40)/24)/(5/(-2)). Which is the nearest to -0.1? (a) 0.4 (b) 105 (c) j (d) x a Let q = 9.38 - -0.22. Let m = q + -8.6. What is the closest to 1 in m, 0.2, 2? m Let l = -21146 - -21149. Which is the nearest to -3? (a) 0.5 (b) 0 (c) -6/11 (d) l c Let r = 0.12 + -0.362. Let p = -0.442 - r. Which is the nearest to -1? (a) -1/4 (b) 4 (c) 0.5 (d) p a Suppose 2*y = 4*d - y - 28, 2*y + 8 = 0. Suppose d*g = -0*g - 12. Let x be 7/70*1*-4. What is the nearest to x in -2, g, 2? -2 Let f be (-120)/(-90)*3/5. Which is the closest to 0.08? (a) -0.3 (b) 3 (c) f (d) -4 a Let x = -162.52 + 166. Let m = -3.58 + x. Which is the closest to m? (a) -2/39 (b) -3 (c) 0.2 a Let w be -3 - (252/(-16) + 13). What is the closest to -1 in -11/3, w, -2/7, 0? -2/7 Let j be 132/18*348/8. Suppose 313*i - j*i = -12. Let t be 2/(-12)*(-2 - 1). What is the nearest to i in -0.5, t, -0.3? t Let m = -330 + 148. Let b = m - -197. Let z(v) = -2*v + 2. Let l be z(2). What is the nearest to 1 in l, 1, b? 1 Let k = 21.9415 + -0.0415. Let x = k + -21.92. What is the nearest to -0.1 in x, 0, 4? x Let m(j) = -4*j**3 - j**2 + j - 2. Let t be m(-2). Let l be 5*t/(-112)*(-4)/10. Let n = -0.2 - 0.3. Which is the closest to 1/3? (a) 0.4 (b) l (c) n a Let a = 141.01 + -141.61. Let i = -0.3 - -0.1. What is the nearest to -2/9 in a, 0, i? i Let t(d) = -d**2 - 27*d - 38. Let w be t(-25). Let v be ((-1)/w)/((-19)/114). What is the closest to 2/5 in -5, 7, v? v Let t be (-20)/(-15)*3/2. Let y = -126 + 125.845. Let a = y + 0.455. What is the closest to 4 in t, -0.2, a? t Let f = 81 + -31. Let y = f - 67. Let n be 1/12*y + (-4)/(-6). What is the closest to 0.1 in n, -5, -0.1? -0.1 Let x = 0.669 + 3.331. Which is the closest to 0? (a) 282 (b) -3/7 (c) x b Let t = -0.1 - 0. Let j = -3 + 7. Let h be -11 + (-19 - (-3133)/104). Which is the nearest to 2/5? (a) t (b) h (c) j b Let r = -5.02177 - -0.02177. Which is the nearest to -2? (a) 42 (b) 3 (c) -2 (d) r c Let q be (-72)/(-54) + (-184)/12. Which is the closest to q? (a) -1/4 (b) 5 (c) -12 (d) 3/4 c Let d = 0.9 - 0.8. Let p = 2.54 - 1.54. Let j = 1 - p. Which is the closest to j? (a) d (b) -3 (c) -9 a Let s = 3016.933 - 3017. Which is the closest to -1? (a) 0 (b) 4 (c) s c Let o be (((-105)/14)/15*-2)/(-15). Which is the nearest to o? (a) -4 (b) 1/4 (c) -0.02 c Let b = 21286.8 + -21287. What is the nearest to -0.3 in -0.07, -5, b, -1/11? b Let h(o) = -4*o**2 - 78*o + 16. Let w be h(-16). Let f be -6 + (w/(-9))/(-4). What is the nearest to 0 in 5, f, 0.1, 0? 0 Let j = -841 - -840.7. Suppose -3*d = -i + 2*i - 13, -2*i = -2*d + 22. Let f be 1/(-2 + -3 + d). Which is the nearest to f? (a) 0.1 (b) -5/3 (c) j a Let d(h) = h**3 + 5*h**2 + 2*h + 6. Let n be d(-3). Let z be -7 + 11 - n/3. What is the nearest to -0.1 in -3/8, z, 1/2? -3/8 Let o = 0.16 - 0.2. Let v = -0.5051 - -0.5051. What is the closest to v in o, -0.4, -3? o Let x = 5/67 - -47/268. Which is the nearest to 0.1? (a) 6 (b) x (c) -5 (d) -2/195 d Let p = -22 - 48.6. Let x = p + 64. Let u = 11.6 + x. What is the closest to 0.4 in -4, u, 0.2? 0.2 Let y(x) = x**2 - 8*x + 4. Let n be y(0). What is the nearest to 32 in -2/15, n, -1? n Let n be (-8)/68 - ((-3059)/(-3332) + 6/(-8)). Let y = 633/5 + -127. Which is the closest to y? (a) 3 (b) n (c) -0.1 b Let t be 10/(-4)*(-6)/10. Suppose -2*z - 3*z = -x + 5, 4 = -3*x - 4*z. Which is the nearest to -1/5? (a) 0.5 (b) x (c) t b Let g = -866 + 865.6. Let z = 41 + -85/2. Which is the closest to 1? (a) z (b) g (c) 4 b Let i = 0 + -0.1. Let w = -5.9 - -0.9. Let k be 4/4*(-6 + (-16)/(-4) + 1). Which is the nearest to i? (a) k (b) 4 (c) w a Let k(n) = n**3 + 6*n**2 + 10*n + 29. Let g be k(-5). Let o be -1*(g - 4 - (2 + -1)). Let p = 5 + 0. Which is the nearest to o? (a) p (b) 0.4 (c) 4 b Let d(p) = -20*p + 131. Let o be d(7). Let z be (1/4)/(245/(-28) - o). Which is the nearest to -0.4? (a) -0.2 (b) 0.1 (c) z a Let r = 26.3 - 24. Let o = 6.3 - r. Let v = -148 - -147. What is the nearest to -1 in v, 3, o? v Let q = 0.634 - 511.634. Let r = q - -511. Which is the closest to 4? (a) 18 (b) 4 (c) r b Let s = 3 + -6. Let l = 42 + -41.957. Let w = -2.043 + l. What is the closest to 1 in 1, w, s? 1 Let p = -3335 + 3336.4. Which is the closest to 0.2? (a) -5 (b) -2 (c) p c Let f be 144/(-594) - (-7)/21. Which is the nearest to 0.01? (a) f (b) -2/9 (c) 3 a Let i = -14.1 - -14.1. Let z = 2.472 + 0.528. Which is the nearest to z? (a) -2 (b) i (c) 1 c Let c = 0 - 0.05. Let o = -1.1 + 0.1. Let q = -20279 + 20279.2. What is the nearest to c in o, q, 0.3? q Let n = -7378 + 7375. Which is the closest to n? (a) 2/3 (b) 2/7 (c) -22 b Let x = 38/3 + -12. Let y = -1047.8 - -1052.8. Which is the nearest to 1? (a) x (b) y (c) 0.3 a Let h = -651 + 654.36. Let z = -0.64 - h. Which is the closest to 2? (a) z
{ "pile_set_name": "DM Mathematics" }
1 + 20750*o. -87*o Collect the terms in 14448*k**3 - 28974*k**3 + 14501*k**3. -25*k**3 Collect the terms in -476*a + 1069*a + 1302*a - 257*a. 1638*a Collect the terms in -66*p**2 - 178*p**2 - 28*p**3 + 18*p**3 - 64*p**2 - 67*p**2 + 375*p**2. -10*p**3 Collect the terms in -4587862*s**3 + 9176236*s**3 - 4588016*s**3. 358*s**3 Collect the terms in 42*l**3 + 2 - 64*l**3 + 43*l**3 + 23*l**3 - 2. 44*l**3 Collect the terms in -12648*l**2 - 7897*l**2 - 7041*l**2. -27586*l**2 Collect the terms in -1390*q**2 + 1897*q**2 - 502*q**2. 5*q**2 Collect the terms in 75 - 28 - 26 - 21 - 118247*q**2 + 118250*q**2. 3*q**2 Collect the terms in 13*n + 16*n - 36*n + 7*n + 17496*n**3. 17496*n**3 Collect the terms in 248*o - 53*o + 24*o**3 + 112*o**3 + 2*o**2. 136*o**3 + 2*o**2 + 195*o Collect the terms in -258003*j**2 - 19671*j**2 - 156355*j**2 - 45084*j**2. -479113*j**2 Collect the terms in -107236*t + 53496*t + 53609*t. -131*t Collect the terms in 1934 - 1846*u - 1851*u + 3681*u. -16*u + 1934 Collect the terms in 670*p**2 - 2137 + 420*p**2 + 2137 - 203*p**2. 887*p**2 Collect the terms in 12150*n + 11418*n - 34946*n + 11398*n. 20*n Collect the terms in 876*b**2 - 1849*b**2 + 982*b**2. 9*b**2 Collect the terms in -159681*w**2 + 319372*w**2 - 159691*w**2 - 5682*w**3. -5682*w**3 Collect the terms in 30*c - 868 + 30*c - 874 + 3538 - 1796. 60*c Collect the terms in -190407 + 571212 - 190409 + 4*p - 190396. 4*p Collect the terms in 2*d + 2*d + 988 - 2*d**2 - 6*d. -2*d**2 - 2*d + 988 Collect the terms in 865*y + 860*y - 1714*y - 208 + 208. 11*y Collect the terms in 11917 + 11907 - 16*r**3 + 41*r**3 - 23800. 25*r**3 + 24 Collect the terms in -7 - 2769*w + 91 - 17 + 2768*w - 38. -w + 29 Collect the terms in 369944584*s + 11*s**3 - 369944584*s. 11*s**3 Collect the terms in 303 - 529*v - 99 - 103 - 9 - 92. -529*v Collect the terms in 585 - 180 - 24*g - 197 - 179. -24*g + 29 Collect the terms in 59 + 40 + 0*f**2 + 26 + 59*f**2 - 34. 59*f**2 + 91 Collect the terms in -233*i - 5 + 9 - 9381*i - 2 - 2237*i. -11851*i + 2 Collect the terms in -418 + 1219 - z + 815 + 3*z - 234. 2*z + 1382 Collect the terms in 5*o**3 - 161842*o + 80921*o - 2*o**3 + 80921*o - 2*o**3. o**3 Collect the terms in -19*a - 24*a - 31 - 243*a**2 + 37*a + 107*a**2 + 114*a**2. -22*a**2 - 6*a - 31 Collect the terms in -1077347*b - 1077273*b + 2154621*b. b Collect the terms in 7827414463*u**2 - 7827414463*u**2 + 5*u**3. 5*u**3 Collect the terms in 11*o**2 + 0*o**2 - 12*o**2 - 1138292*o + 1138429*o. -o**2 + 137*o Collect the terms in -3 + 18179*r**3 - r + 1 - 9068*r**3 - 9095*r**3 + 2. 16*r**3 - r Collect the terms in -409*n**2 + 93*n**2 + 66*n**2 + 141*n**2 + 106*n**2. -3*n**2 Collect the terms in 114425*t + 4*t**2 - 31 + 35 - 4 - 114425*t - 5*t**2. -t**2 Collect the terms in -963*x**2 - 3155*x**2 + 1262*x**2. -2856*x**2 Collect the terms in -1257806*k**3 + 1257689*k**3 - k - 25 + 25. -117*k**3 - k Collect the terms in 1890 - 3993 - 2*v**3 + 2203. -2*v**3 + 100 Collect the terms in -1317*v**2 - 20109*v + 1266*v**2 + 98 + 20109*v - 96. -51*v**2 + 2 Collect the terms in 5*w + 550313798771 - 550313798771. 5*w Collect the terms in 1590*s**2 - 787*s**2 - 97*s**3 - 803*s**2. -97*s**3 Collect the terms in -48922394174*p**3 + 24461197100*p**3 + 24461197089*p**3. 15*p**3 Collect the terms in -2 + 8 - 1977*t**2 - 4 - 2 + 1773*t**2. -204*t**2 Collect the terms in -2663*y + 10655*y - 2686*y - 1 + 1 - 2650*y - 2659*y. -3*y Collect the terms in 187849*t**2 - 378967*t**2 + 189501*t**2. -1617*t**2 Collect the terms in 2227*f - 128*f + 3911*f + 1062*f. 7072*f Collect the terms in -10 - 14*u + 5 + 10*u**2 + 6 + 4. 10*u**2 - 14*u + 5 Collect the terms in 787 - 60*v - 301 - 250 - 238. -60*v - 2 Collect the terms in 11 + 11 - 87*c - 4 - 2 + 4. -87*c + 20 Collect the terms in 238 + 6373*s**2 + 210 + 228 - 6372*s**2. s**2 + 676 Collect the terms in -3 + 2 + 108*l**2 + 0 - 1309*l**2 + 7. -1201*l**2 + 6 Collect the terms in -11704 + 3894 + 3910 - 60*l + 3900. -60*l Collect the terms in 7*v - 4*v - 447437623785 - 3*v + 447437623785 + 19*v**3. 19*v**3 Collect the terms in -28*y - 439 + 0*y**2 - 27*y + y**2 + 55*y + 326. y**2 - 113 Collect the terms in -1098 - 17917*l**2 + 17911*l**2 + 548 + 550. -6*l**2 Collect the terms in -5752 - 59879*z**3 - 5754 + 11506 + 3*z**2. -59879*z**3 + 3*z**2 Collect the terms in 3769468 - b - 1262*b**2 - 3769468. -1262*b**2 - b Collect the terms in -382013*s - 499963*s - 648799*s + 37510*s. -1493265*s Collect the terms in -13*w + 675*w**2 - 2 + 0*w - 720*w**2. -45*w**2 - 13*w - 2 Collect the terms in -248 - 145 - 246*m**3 + 393. -246*m**3 Collect the terms in -29*p**2 - 7 + 3026*p + 4145*p - 6 + 11. -29*p**2 + 7171*p - 2 Collect the terms in 3610 + 15763 - 93944 - 3*c. -3*c - 74571 Collect the terms in -1438 + 228159*f**2 + 1438. 228159*f**2 Collect the terms in 1221 + 28*j**2 + 2*j - 30*j**2 + 10653. -2*j**2 + 2*j + 11874 Collect the terms in 4*d**2 - 20431*d**3 - 4*d**2 + 22626*d**3. 2195*d**3 Collect the terms in -221*a**2 + 535*a**2 - 4441*a**2 - 651*a**2. -4778*a**2 Collect the terms in -241*q + 644*q - 232*q - 221*q + 53*q. 3*q Collect the terms in 1069022*m**2 - 2138055*m**2 + 1069027*m**2. -6*m**2 Collect the terms in 636*w**2 + 5 - 18 + 283*w**2. 919*w**2 - 13 Collect the terms in 559*l**2 + 3867849107 - 3867849107. 559*l**2 Collect the terms in 208*j**3 + 0 + 3033*j - 3033*j + 2 - 2. 208*j**3 Collect the terms in 3*t**3 + 5610 + 5746 + 12200 - 5257. 3*t**3 + 18299 Collect the terms in -6638*j**3 + 21627*j**3 - j**2 - j**2. 14989*j**3 - 2*j**2 Collect the terms in 58 - 8 - 83*h - 183*h - 26. -266*h + 24 Collect the terms in 1252*r**2 - 2507*r**2 + 1017*r**3 + 1017*r**3 - 2032*r**3 + 1255*r**2. 2*r**3 Collect the terms in 95*a**2 - 39*a**2 - 89*a**2 - 7*a + 7*a + 187*a**2. 154*a**2 Collect the terms in -298861079259*h + 298861079259*h - 19*h**2. -19*h**2 Collect the terms in -1542952254*w**2 + 1542952254*w**2 - w**3. -w**3 Collect the terms in 596503*y**2 - 804 + 804. 596503*y**2 Collect the terms in -3541*v**2 + 1208*v**2 - 23*v**3 + 1161*v**2 + 1168*v**2 + 7*v**3. -16*v**3 - 4*v**2 Collect the terms in -5764*x**2 - 307*x**2 + 6 + 7*x**2. -6064*x**2 + 6 Collect the terms in -192 + y**2 + 264*y + 58 + 64 + 70. y**2 + 264*y Collect the terms in 264*k + 386*k + 380*k + 2*k**3 - 1030*k. 2*k**3 Collect the terms in -30*d + 43 + 20 - 22 - 36. -30*d + 5 Collect the terms in -8*c - 1121 + 0*c + 3686 - 1272 - 1293. -8*c Collect the terms in 1130445*b**2 - 623660*b**2 - 506786*b**2. -b**2 Collect the terms in 2390 + i**2 - 582 - 650 - 3*i**2 - 572 - 586. -2*i**2 Collect the terms in 3506934558 + 37*t - 134*t - 3506934559. -97*t - 1 Collect the terms in -68*b**3 - 264*b**3 - 54*b**3 + 44*b**3 - 99*b**3. -441*b**3 Collect the terms in 2*d**3 - 10660246 - 8*d**3 + 10660246. -6*d**3 Collect the terms in -10*w**3 + 11713986945*w**2 - 11713986945*w**2. -10*w**3 Collect the terms in 55*h + 30 + 58*h + 57 - 65 + 65*h - 170*h. 8*h + 22 Collect the terms in 2443573 - 20396*x - 2443573. -20396*x Collect the terms in -8*r - 148*r**3 + 108*r**3 + 13*r**2 + 26*r**3 + 7*r - 13*r**2. -14*r**3 - r Collect the terms in -2 - 1318*n + 442*n**3 + 1318*n - 8 + 12. 442*n**3 + 2 Collect the terms in 86955*t**2 - 550202*t**2 - 299647*t**2 - 553830*t**2. -1316724*t**2 Collect the terms in 59*r**3 + 115*r**3 - 447*r**3 - 556*r**3 - 55*r**3. -884*r**3 Collect the terms in 3398*w**3 - 2*w**2 - 74 - 8*w**2 - 3*w**2 - 3399*w**3 + 2*w**2. -w**3 - 11*w**2 - 74 Collect the terms in 104 + 7918*a**2 - 207 + 103. 7918*a**2 Collect the terms in -12*l**2 + 1898 + 1949 - 3847. -12*l**2 Collect the terms in -77900*c + 155799*c - 77906*c + 3. -7*c + 3 Collect the terms in 52504*g**3 - 17459*g**3 - 17463*g**3 - 17447*g**3. 135*g**3 Collect the terms in 245 + 9789*b**2 - 9755*b**2 - 245. 34*b**2 Collect the terms in -117742*y**2 + 29452*y**2 + 29433*y**2 + 29444*y**2 + 29435*y**2 + 0*y + 0*y. 22*y**2 Collect the terms in -117594*c**2 + 81*c - 1030*c + 95*c. -117594*c**2 - 854*c Collect the terms in -2219*x**2 - 7*x**3 + 4*x**3 + 6546*x**2 - 2217*x**2 - 2110*x**2 - 12*x**3. -15*x**3 Collect the terms in 1676 - 840 + 13911*i - 99747*i - 836. -85836*i Collect the terms in 12223867*v**2 - 6111935*v**2 - 6111931*v**2 - 2*v. v**2 - 2*v Collect the terms in
{ "pile_set_name": "DM Mathematics" }
**4 - 4*i**4 - i**4 + i**2 + 34*i**4 + 4*i**4 - i**4 to m*i**2 + p*i**3 + o*i**4 + c*i + l and give c. 0 Rearrange -984*h**4 + h**3 - 19*h**3 - h + h**2 + 0*h**2 + 1017*h**4 to t + j*h + o*h**3 + s*h**4 + n*h**2 and give o. -18 Rearrange -3 + 500*f**3 + 6 - 415*f**3 + f**2 to s + g*f**2 + x*f**3 + i*f and give g. 1 Rearrange ((0 + r + 0)*(-116*r + 60*r + 95*r) + r**2 + r - r)*(-2*r**2 + 15*r**2 + 7*r**2) to the form a + z*r**4 + i*r + g*r**2 + o*r**3 and give g. 0 Rearrange (4*g**2 + g**2 - 3*g**2)*(-84*g + 71*g - 72*g) + 4*g**3 - 13*g**3 - 4*g**3 to l*g + h + c*g**2 + z*g**3 and give z. -183 Rearrange 121 + 123 - 101*g**2 - 46*g**2 + 120 + 5*g**3 - 375 to o*g**3 + h + q*g**2 + p*g and give h. -11 Express 22 - 78 + 18 + 15 + 19 - 473*f as s*f + g and give g. -4 Rearrange -10 - 23 + 9*a + 8 + 3*a - 4 to g*a + p and give p. -29 Express (11*t + 1 + 1 - 4*t)*(-430*t - 328*t - 22 + 1434*t - 361*t) as m + f*t**2 + u*t and give m. -44 Rearrange -32*u**2 + 28*u**2 - 13*u**2 - 14 - 5*u**4 - 3*u + 4*u**4 + 5 to i*u**3 + p*u + l*u**2 + z*u**4 + q and give q. -9 Express 40 + 45 - i + 2*i + 125 + 82 as f + z*i and give z. 1 Express -5 + 542*m**3 - 2179*m**3 + 542*m**3 + 550*m**3 - 98*m**2 - 2*m + 543*m**3 in the form v*m**3 + s + p*m + l*m**2 and give v. -2 Express 206*k**2 - 45*k**2 - 37*k**2 + 7*k**3 - 86*k**2 - 3*k - 37*k**2 + 36*k**4 as l*k**4 + b*k**3 + w*k**2 + i*k + d and give b. 7 Rearrange 10508*j + 7173*j + 3938*j + 1762*j to f + v*j and give v. 23381 Rearrange g**3 - 515*g + 1030*g - 4 + 6*g**2 - 528*g to the form t*g + c*g**2 + k*g**3 + w and give w. -4 Express 2569*z - 2569*z + 1 - 18*z**2 as t*z + j*z**2 + b and give j. -18 Express (7 - 5 - 1)*(-6*l - 2*l - 32*l + (-l - 1 + 1)*(1 + 0 - 2)) - l - l + 4*l in the form p*l + z and give p. -37 Express 13 + 499*a - 891*a + 481*a - 13 + 19*a**3 as d*a**3 + r*a**2 + s + b*a and give d. 19 Express (-6 - 5 + 3)*(1 + 25 - 47)*(o + 0 + 0)*((0 - 1 + 6)*(-1 + 5 + 0) + (-3 + 5 + 1)*(0 + 3 - 1)) as k + l*o and give l. 4368 Rearrange (3*z**2 - 7*z**2 - 4 + 3*z**2)*(-1 + 2 + 2)*(-2 - 39 + 7) to l + b*z + a*z**2 and give l. 408 Rearrange 12 - 13 + 3 - i**3 - 290*i + 292*i + 232*i**2 to the form d*i + p + x*i**2 + c*i**3 and give c. -1 Express -33*m + 28*m**3 - 31*m - 2 - 52*m + 113*m + m**2 in the form h*m**2 + c*m**3 + n + d*m and give h. 1 Express 14 - 19*u**2 + 8 + 9*u**2 - 21 + 13*u**2 - 730*u as z*u + j + y*u**2 and give j. 1 Express 1 + 507*w**4 + 202*w**4 + 79344*w - 79341*w as c*w**3 + y*w + m*w**2 + d + a*w**4 and give a. 709 Express 177*o**4 - 167*o**4 - o**3 - 15 - 8*o**4 as x*o**3 + k + v*o + w*o**2 + f*o**4 and give f. 2 Rearrange (s**2 + 1 - 1)*(-20064 + 4*s**2 - 20067 + 40152 + 21*s) to g + y*s + i*s**4 + c*s**3 + j*s**2 and give j. 21 Express -l**3 + 14090*l - 720 - 71*l**4 - 14092*l + 717 - l**2 as c*l**3 + d*l**4 + y*l**2 + a + k*l and give y. -1 Rearrange (1 + 3 - 5)*(0*a + 2*a + a) - 4304*a + 14997*a + 5869*a - 505*a + 5630*a to the form p + j*a and give j. 21684 Express (10*j + 20*j - 126*j)*(-95*j + 6032 - 6032) in the form v*j**2 + a + q*j and give v. 9120 Rearrange (2*k**3 - 2*k**3 + 2*k**3)*(-2*k + k - k) + 1226 - 410 - 409 - 405 + 43*k**4 + 21*k**3 to j*k + u*k**2 + c*k**4 + d*k**3 + n and give c. 39 Rearrange (-g**2 + 3*g**2 - 11*g**2)*(-3 + 0 + 4) + 60*g**2 - 70*g**2 - 45*g**2 + (-5*g + 2*g + 2*g)*(-5*g + g + 0*g) to s*g**2 + i + z*g and give s. -60 Rearrange -46*v**2 + 36 + 39*v**2 + 4*v**2 + 39 - 9 to b*v + f*v**2 + y and give y. 66 Express -2*p**2 + 9*p + 12*p - 147 + 9*p - 12*p - 20*p in the form d + g*p + s*p**2 and give s. -2 Express (-5*p + p + 5*p)*(p**3 + 2*p**3 - 4*p**3) + (-2*p**3 - 6 + 6)*(1750 - 1749 + 13*p + 74*p) as y + v*p + i*p**4 + b*p**3 + f*p**2 and give b. -2 Express (2 + 2 - 3)*(15 + 1 - 1)*(-23*i + 21*i - 15*i + i - 2*i + 0*i + (0 + 1 - 3)*(4 + 2*i - 4) - 2*i - 2*i + 2*i + 0 + 0 - i) in the form k + t*i and give t. -375 Express (-12 + 55 - 2)*(-35*i**2 - 39*i**2 - 51*i**2) in the form l + q*i**2 + k*i and give l. 0 Express -293*t**4 + 578*t**4 + 4*t - 6*t**3 - 7*t**2 - 284*t**4 + 9*t**3 - 1 as o + f*t**4 + m*t**3 + v*t**2 + c*t and give c. 4 Express -4093 + 8816 + n + 4926 + 5007 in the form b*n + c and give b. 1 Rearrange 25*b**4 + 12 - 10 + 10*b**3 - 80*b**4 - 2*b**4 to the form x*b**4 + c*b**2 + o*b**3 + s + q*b and give x. -57 Express -1469*n**3 + 3588*n**3 - 1417*n**3 + 13*n**2 + 2 in the form t*n**2 + y + p*n + o*n**3 and give y. 2 Express -25*v - 15578 + 31*v - v**2 + 15687 - v**4 as t*v**3 + k*v**4 + h*v**2 + n*v + u and give h. -1 Express -17995348 - 29*l + 2*l**3 + l**2 + 17995348 in the form y*l + b*l**3 + q*l**2 + g and give y. -29 Rearrange 8*t**3 - 2*t**3 - 69*t + 9*t**3 + 80*t to u*t**2 + w*t**3 + h*t + m and give w. 15 Express 33 - 34*g - 13*g + 50*g - 24*g - 36*g as w + j*g and give j. -57 Rearrange -2*n + n**3 - 664 + 1333 - 667 + 3*n**2 + 17*n**4 to the form l + p*n + v*n**2 + d*n**3 + h*n**4 and give l. 2 Express (0 - c + 0)*(0 + 0 - 2 + (-1 + 3 - 3)*(-247 + 820 + 396) - 2 + 2 + 2) + c + c - c as j*c + q and give j. 970 Express -37 + 0 - 46*k + 2 + 48*k - 1 - 2*k**3 + 7*k**4 - 2*k**2 as b*k**2 + u*k + f*k**4 + w*k**3 + t and give b. -2 Express 7740*w**2 + 49295*w - 49295*w + 1037*w**2 in the form k*w + s + i*w**2 and give i. 8777 Express 14*x**3 + 27*x**3 - 7*x**3 + 453933 + 0*x**2 - x**2 - 453981 as y*x + k*x**3 + u*x**2 + z and give k. 34 Rearrange -134291*m + 122090*m - 3 + 3 to a*m + z and give a. -12201 Express (4 + 4 - 4)*(-127 - 14 - 96)*(7 + 3*f - 7) as a*f + z and give a. -2844 Express (-1 + 1 - 1)*(-2*k + k - 2*k) + 70*k + 36*k + 25*k + (-2 - 2*k + 2)*(-3 - 2 + 3) + 2*k - 1 + 1 in the form p + n*k and give n. 140 Rearrange -5*k**2 + 5*k**2 + k**2 + (-17*k**2 + 2*k**2 + 0*k**2)*(-3 - 5 + 26)*(2 + 1 - 6) to the form f*k**2 + m + h*k and give f. 811 Rearrange 275 - 275 - 2*k**2 - 249*k**3 - 463*k**3 - 3*k**2 to t*k + p*k**2 + h*k**3 + l and give h. -712 Express -126*f**2 + 40*f**2 + 2*f + 1 + 37*f**2 + 9 + 44*f**2 in the form j + g*f + k*f**2 and give g. 2 Rearrange -155 - 2 + 2 + 2*c**3 + 4*c**4 + c**4 - 2*c**4 to w*c + h + r*c**4 + s*c**3 + y*c**2 and give w. 0 Express 123241*r**2 + 121980*r**2 - 246196*r**2 as i*r + u + z*r**2 and give z. -975 Rearrange -860*b - 546*b + 7741*b to k + q*b and give q. 6335 Rearrange (-350 - 591 - 2928)*(2*m**2 + 2*m**2 + m**4 + 2*m**2) to v + x*m**4 + c*m**2 + u*m**3 + d*m and give x. -3869 Rearrange -1646*b - 1172*b - 432*b + 245*b + 180*b to the form x + g*b and give x. 0 Rearrange -1144 + 4438*g**2 + 1144 to z + i*g**2 + o*g and give z. 0 Express (31 + 63 + 70)*(127*w - 6*w + 212 - 211) in the form k + h*w and give h. 19844 Rearrange 13*k**2 + 95 - 2*k + 2*k**3 - 13*k**2 - 92 to f*k**3 + n*k + z + a*k**2 and give z. 3 Rearrange (-p + 10*p + 5*p)*(-259 + 135 + 132)*(-3 + 4 + 1) to the form h*p + x and give x. 0 Rearrange (-3 + 5*q - 3*q + 0)*((-2 - 3*q + 2)*(4 - 2 - 1) + 7*q + 13*q - 23*q + 185) to the form b + i*q**2 + u*q and give b. -555 Rearrange v**3 - 658771 + 18*v**2 - 69*v**2 + 658773 to the form z + t*v + p*v**3 + a*v**2 and give p. 1 Rearrange -573*a - 7*a**2 + a**2 + 22*a**4 + 14*a**3 + 566*a - 25*a**4 to the form j + t*a**3 + o*a + h*a**2 + y*a**4 and give t. 14 Rearrange (19 - 20 + 24)*(565*a - 229*a - 220*a) to t + d*a and give d. 2668 Express (0*w - w + 4*w + (-2*w + 4*w - w)*(-3 - 1 + 2) + 0*w + 0*w - w - 2*w + 3*w - 3*w - w - w + 0*w)*(-146 - 4299 - 169) as n*w + s and give n. 18456 Express -526 - 28*i + 8*i + 11*i - 2*i as p + x*i and give x. -11 Rearrange (292*f - 468*f + 279*f)*(-6*f + f**2 - f + 41 - 40) to the form g + s*f + l*f**3 + m*f**2 and give s. 103 Express -2*v**4 - 5*v + 0*v - 204*v**2 + 4*v - 4*v**3 + 6 + 201*v**2 as a*v**4 + b + o*v**2 + j*v**3 + x*v and give a. -2 Rearrange (-2*z + 2*z - z)*(-2*z + 2*z**2 + 2*z) + 553 + 490 + 2*z**2 - 146*z**3 + 23477*z**3 - 1043 to the form v*z**2 + r*z + h*z**3 + y and give h. 23329 Rearrange 6*u**3 - 7*u**3 + 2*u**3 - 1 - 332*u**2 to the form m*u**3 + y*u + d*u**2 + b and give b. -1 Express -4*x - 299*x**2 + 675*x**4 + 5*x + 478*x**4 + 2*x**3 + 298*x**2 - 1 - 1 in the form s*x + w + a*x**4 + v*x**3 + h*x**2 and give v. 2 Express -2*f**3 - 122 - 174 + 29 - 6 - 17*f + 22*f as c + m*f + u*f**3 + t*f**2 and give u. -2 Express 2
{ "pile_set_name": "DM Mathematics" }
se t = 3*i - 320. Suppose -11*o + i = -8*o. What is the tens digit of o? 8 Suppose 3*q - 50 = -3*u + 646, 456 = 2*q - 2*u. Let d = q + 77. What is the units digit of d? 7 What is the thousands digit of (4074 - (3 - 15))/((-6)/(-4))? 2 Suppose -3*t - 13 = -4*n, -6*t + 25 = 5*n - t. Suppose -4*c - 4*s + 2048 = 0, -5*s - 1390 - 640 = -n*c. What is the tens digit of c? 1 Let n(g) = -396*g - 33. Let q be n(-2). Let v = q - 455. What is the units digit of v? 4 Suppose 39*w - 42*w = -21, -144818 = -5*r + w. What is the hundreds digit of r? 9 Let p be -31 + 31 + (-4)/(-2)*1. What is the hundreds digit of ((-1356)/4)/((-1)/p)? 6 What is the thousands digit of (-155)/186 + 512442/108? 4 Suppose -4*p = -3*f - 5799, 623*p - 7250 = 618*p + 4*f. What is the units digit of p? 6 Let l(h) = 65*h**2 + 150*h + 59. What is the tens digit of l(11)? 7 Suppose 0*r + 5*r - 353419 = -6*r. What is the ten thousands digit of r? 3 Let o(p) = p**3 - 7*p**2 + 32*p + 9. What is the tens digit of o(19)? 4 Let i(h) = 6*h + 50. Let t be i(-8). Suppose t*p - 137 = 359. Let y = p + -143. What is the tens digit of y? 0 Let u = 1745 - 663. What is the thousands digit of u? 1 Let d(x) = 97*x**2 + 6*x - 38. What is the units digit of d(9)? 3 Let q(m) = m**3 + 34*m**2 + 35*m - 101. What is the thousands digit of q(-31)? 1 Let k be (-47595)/(-437) - (-2)/23. Suppose 0*f - 3*w - k = -f, 5*w = 3*f - 315. What is the units digit of f? 0 What is the units digit of 5096/(-882)*(-981 - 0)? 8 Suppose a + 2 + 2 = 0, 2*i + 4 = -a. Suppose q + 3*n - 162 = i, 2*q - 5*q + 434 = -4*n. What is the tens digit of q? 5 Let n(a) = -68*a - 106. Let x be n(17). Let m = 2847 + x. What is the hundreds digit of m? 5 Let n = 90 + -80. Let g(b) = -2*b**2 + 23*b - 14. Let a be g(n). Suppose a*d = 20*d - 468. What is the hundreds digit of d? 1 Suppose -201 = 2*d + 31. Let l = -44 - d. Suppose 0 = -5*f + l + 173. What is the tens digit of f? 4 Let a = -9618 + 21921. What is the hundreds digit of a? 3 Let q = -1501 + 3066. Let o = -586 + q. What is the units digit of o? 9 What is the units digit of (0 - -13 - 9) + 5776? 0 Let j = 58 + -55. Let h be j/(3/(7 + -4)). Suppose 5*f = 4*i + 339, -f - h*i + 8*i = -51. What is the tens digit of f? 7 Let i be 5/(-10) + -1*(-28)/(-8). What is the hundreds digit of (-1314)/(7/14*i)? 6 Suppose -6*q = -174 + 198. Let o(z) = -115*z - 60. What is the units digit of o(q)? 0 Suppose 15*m + 78 = 21*m. Suppose -3*s = -2*s + m. What is the units digit of (s/(-39))/(2/60)? 0 Suppose 10 = -4*r - 2. Let j be (-10)/r + (-44)/(-66). Suppose -12 = -j*p, 0*h - h = 4*p - 13. What is the units digit of h? 1 What is the hundreds digit of 79722/15 - (-3 - 28/(-10))? 3 Let g(o) = -o**2 + 9*o - 16. Let s be g(4). Suppose -j + s*v + 245 = 0, 15*j - 523 = 13*j - 3*v. What is the hundreds digit of j? 2 Let q(v) = -v**3 + 38*v**2 + 52*v - 46. Let u = -185 + 224. What is the units digit of q(u)? 1 Let c = 4254 + -1740. What is the thousands digit of c? 2 Suppose 0*a - 2*d = -4*a - 1844, -2*a = -3*d + 918. Let n = 966 + a. What is the tens digit of n? 0 Suppose -5968 = -2*s - 2*s. Let x = s + -821. Suppose -3*f + 5*j = 4*j - x, -892 = -4*f + 4*j. What is the units digit of f? 4 Let a(g) = 224*g - 546. What is the hundreds digit of a(118)? 8 Let y be ((-8)/32)/(1/(-8)). Let u be y/12 + 2337/18. What is the tens digit of u/4*-2*-1? 6 Let j(u) = u**2 - 9*u + 14. Let v be j(7). Suppose -9*y + 1712 + 43 = v. What is the hundreds digit of y? 1 Let r be (1265/60)/1 - (-1)/(-12). Let b be 0 + 0/1 + 49. What is the tens digit of b/r*(-3)/(-1)*13? 9 Suppose l - 4 - 2 = u, -2*l = 4*u + 12. Let c(k) = -k**3 - 4*k**2 - 6*k - 2. Let f be c(u). Suppose 4*o - 146 = -f. What is the tens digit of o? 3 Suppose 19*v - 11922 = 205020. Suppose -18*g = -5898 - v. What is the hundreds digit of g? 9 Suppose -8*o + 9382 = 3*q - 31708, 0 = 2*q - 4*o - 27356. What is the units digit of q? 6 Suppose 19*p + 3*d = 23*p - 17038, p - 4*d - 4279 = 0. What is the units digit of p? 5 Suppose 0 = k - 13*k - 1836. Let c = 46 - k. What is the hundreds digit of c? 1 Let r = 8 - -20. Suppose -16 = -7*q + 250. Let f = q - r. What is the units digit of f? 0 Suppose -9*l = 1881 - 16758. Let h = 2621 - l. What is the hundreds digit of h? 9 Let z = 4674 + -17562. What is the hundreds digit of (-18)/(-8)*z/(-18)? 6 Let w = -14 - -12. Let m be 1/(12/(-200)*w/(-6)). Let o = 72 + m. What is the units digit of o? 2 Let f = -41 - -40. Let a = f + 8. Suppose -a*o - o + 520 = 0. What is the units digit of o? 5 Let l(y) = -39*y**2 - 8*y - 16. Let v be l(-5). Let i = v - -1506. Suppose 0 = 8*w + 155 - i. What is the units digit of w? 0 Suppose -123*s - 131*s + 3467354 = 0. What is the units digit of s? 1 Let o(u) = 173*u + 900. Let r(k) = 34*k + 180. Let i(a) = -2*o(a) + 11*r(a). What is the hundreds digit of i(48)? 5 Let i be (-7 - -6)/(2/(-974)). Let t = i - 257. Suppose -3*c + 2*h = -t, h = 7 - 2. What is the units digit of c? 0 Suppose -2*r = 2*m + 164 + 130, -3*r - 444 = 2*m. Let o = 264 + r. What is the units digit of o? 4 Let y = 26 - 12. Suppose -9*l + y*l = 10. Suppose l*r - 226 = -4*v, -r = 12*v - 8*v - 231. What is the tens digit of v? 5 Let r = 38 + -12. Let g = 272 + -278. Let f = r - g. What is the tens digit of f? 3 Suppose 4*z - 2*f + 28 = 8*z, 9 = z + f. What is the units digit of 2/1 - (z - 223 - 6)? 6 Let l be -4 - (-11)/((-44)/(-60)). Suppose l*v - 25*v = -2758. What is the tens digit of v? 9 Suppose -14*b - 4*s - 4218 = -19*b, b + 4*s = 834. Suppose -12392 = -14*a - b. What is the hundreds digit of a? 8 Suppose 0 = 6*z - 1145 - 673. Suppose 93 = g - z. What is the tens digit of g? 9 Let g = -295 - -301. What is the tens digit of 631 + g + (-9)/(3 + 0)? 3 What is the hundreds digit of 4/(-6) - (-4125000)/33*1/3? 6 Let j be 5/(20/24)*2/(-3). What is the units digit of (-12096)/(-27) + j + 0? 4 Suppose -q + r = -5265, 3*q + 14*r - 15781 = 10*r. Suppose -q = -7*j - 216. What is the hundreds digit of j? 7 What is the hundreds digit of ((-1)/3)/1*59/(708/(-287316))? 9 Suppose -12*g + 15*g = -2565. Let k be g + 0*(2 + -1). What is the tens digit of (1 - 20/16) + k/(-12)? 7 Let g = 41 - 46. Let u be 2/(-2)*(-7 - g - 1). Suppose 10 = -l + 3*l, 4*x - u*l = 309. What is the tens digit of x? 8 Let z(c) = 11*c + 58. Let a(u) = -4*u**2 + 55*u - 12. Let k be a(13). What is the hundreds digit of z(k)? 3 Let z(m) = 2*m**2 + 6*m + 31. Suppose -i = 22 - 26. Suppose 4*u = i*v + 20, 0 = -5*v + 10*v + 5*u + 35. What is the tens digit of z(v)? 6 Let h(r) = r**3 - 38*r**2 - r + 38. Let u be h(38). Suppose 3*n - 7*n + 1436 = c, u = 5*n - 3*c - 1778. What is the hundreds digit of n? 3 Suppose 4*m + 14419 = -2*x + 5*x, -x - 5*m = -4819. What is the tens digit of x? 0 Let j be 1/2 + (-678)/(-12). Suppose -31*q + 36*q = 0. Suppose 3*b - 3*x + q*x - j = 0, -b + 14 = 4*x. What is the units digit of b? 8 Suppose c - 2*c = -2*g, -5*g = 0. Suppose c = 15*l - 16*l + 195. What is the tens digit of l? 9 Let t be ((-4)/(-10))/((-208)/(-100) - 2). What is the units digit of 268/t*(-20)/(-8)? 4 Let i be (-4)/(-16)*29 + 27/36. Let v(y) = 9*y**2 - y - 9. What is the tens digit of v(i)? 5 Suppose 3*g = 2*g + 40. Let z be 36/14 - g/70. Suppose -4*l + 48 = z*b, 3*l + b = 4*l - 12. What is the tens digit of l? 1 Let w be (-12*18/(-648))/((-1)/(-18)). Let u be ((-6)/18)/(2/(-132)). Suppose 2736 = u*z - w*z. What is the tens digit of z? 7 Let n(c) = -c + 8. Let t(i) = i - 1. Let s(g) = -n(g) - 2*t(g). Let z be s(8). Let k = z - -45. What is the tens digit of k? 3 Suppose -108 = 4*w - 700. Let c(a) = a**3 + 11*a**2 + 21*a + 13. Let k be c(-9). Let s = w + k. What is the tens digit of s? 3 Let z = -431 - 315. Suppose 64 = 4*q + 2*d, -3*q + 3*d = 2*q - 58. What is the tens digit of z/(-30) + q/105? 2 Suppose 23*m + 544 = 24*m. Suppose -4*w = 16, 4*u - 604 - m = -w. Suppose 0 = -3*y + 5*d - 116 + u, y = 2*d + 59. What is the units digit of y? 9 Let d = 128618 + -75863. What is the hundreds digit of d? 7 Let a(r) = -r**3 + 17*r**2 - 8*r + 28. Suppose 4*y + l - 44 = 0, 5*l = 3*l. What is the hundreds digit of a(y)? 6 Suppose 39*d - 11335 + 17538 = 180884. What is the tens digit of d? 7 Let y(g) = -8 - 21 - 74*g - 37 - 22*g - 9. What is the units digit of y(-9)? 9 Let k = 7245 - -122.
{ "pile_set_name": "DM Mathematics" }
prob of sequence poyb? 2/3003 Calculate prob of sequence yys when three letters picked without replacement from mmsmyyy. 1/35 Two letters picked without replacement from {a: 4, f: 16}. What is prob of sequence af? 16/95 What is prob of sequence smms when four letters picked without replacement from dsmmdwsss? 1/126 What is prob of sequence nin when three letters picked without replacement from iniiiiiniipiiininnh? 40/969 Two letters picked without replacement from {b: 1, k: 1, t: 2, w: 4, p: 1, g: 3}. Give prob of sequence kt. 1/66 Four letters picked without replacement from xditxoutdduuuudud. Give prob of sequence uudo. 5/1904 Calculate prob of sequence fe when two letters picked without replacement from gguxfgghfegxuegfgfg. 4/171 Two letters picked without replacement from onononoooonnohn. Give prob of sequence nh. 1/35 Two letters picked without replacement from effefffffffff. Give prob of sequence ef. 11/78 Calculate prob of sequence hiz when three letters picked without replacement from {n: 1, z: 1, h: 4, i: 2}. 1/42 What is prob of sequence vv when two letters picked without replacement from vvvvvvvwvvqvvv? 66/91 Four letters picked without replacement from kkkan. Give prob of sequence aaaa. 0 Four letters picked without replacement from {p: 12, e: 1}. Give prob of sequence pppp. 9/13 What is prob of sequence hh when two letters picked without replacement from {h: 9}? 1 Two letters picked without replacement from {e: 2, q: 5, u: 8, v: 2}. Give prob of sequence qq. 5/68 What is prob of sequence hekk when four letters picked without replacement from hekfekkk? 1/70 What is prob of sequence jxzj when four letters picked without replacement from xjajz? 1/60 Three letters picked without replacement from {n: 4}. Give prob of sequence nnn. 1 Three letters picked without replacement from {o: 2, l: 3, g: 1, f: 3, w: 4, j: 3}. Give prob of sequence wjg. 1/280 What is prob of sequence zs when two letters picked without replacement from {u: 3, k: 3, a: 1, z: 3, c: 1, s: 2}? 1/26 Three letters picked without replacement from bbinicbukcun. Give prob of sequence ikb. 1/220 Calculate prob of sequence rbv when three letters picked without replacement from {b: 1, h: 1, y: 1, r: 1, v: 1}. 1/60 Three letters picked without replacement from {y: 3, d: 1, v: 1}. Give prob of sequence dyv. 1/20 Calculate prob of sequence kjjr when four letters picked without replacement from kxxkzrkqxzjj. 1/1980 Four letters picked without replacement from {a: 16, t: 4}. What is prob of sequence attt? 16/4845 What is prob of sequence nih when three letters picked without replacement from {n: 2, f: 1, i: 1, h: 2}? 1/30 Three letters picked without replacement from {m: 10, l: 4}. What is prob of sequence lml? 5/91 Calculate prob of sequence ub when two letters picked without replacement from bfckbfkfbbkkku. 2/91 Three letters picked without replacement from {m: 2, i: 5, g: 6}. Give prob of sequence mii. 10/429 Two letters picked without replacement from {h: 1, u: 1, w: 1, b: 1, c: 5}. What is prob of sequence ub? 1/72 Three letters picked without replacement from bbzzbb. What is prob of sequence zbz? 1/15 Three letters picked without replacement from cpfhhcc. What is prob of sequence phh? 1/105 Calculate prob of sequence ia when two letters picked without replacement from qiqassqsraqhsa. 3/182 Two letters picked without replacement from {g: 1, j: 3}. Give prob of sequence jj. 1/2 Two letters picked without replacement from {g: 1, h: 6, m: 1, q: 5, a: 6}. Give prob of sequence hg. 1/57 What is prob of sequence wg when two letters picked without replacement from {w: 13, g: 3}? 13/80 Calculate prob of sequence zpzp when four letters picked without replacement from ppzppzpzppzpq. 28/715 Two letters picked without replacement from {u: 3, m: 1, t: 3, x: 1, d: 1, y: 2}. Give prob of sequence mt. 3/110 Four letters picked without replacement from dihihiiok. What is prob of sequence ikhd? 1/378 Calculate prob of sequence sz when two letters picked without replacement from {v: 2, z: 9, s: 8}. 4/19 Four letters picked without replacement from hjhajaaahhaajaajaha. Give prob of sequence hhhh. 5/3876 Calculate prob of sequence vh when two letters picked without replacement from vhvvvvvvvvvv. 1/12 Two letters picked without replacement from {b: 1, n: 1, f: 2, o: 3, y: 3}. Give prob of sequence ff. 1/45 Four letters picked without replacement from psctpstffttpsft. What is prob of sequence tsfp? 3/728 Calculate prob of sequence nxx when three letters picked without replacement from {n: 2, x: 2, j: 1, i: 1}. 1/30 What is prob of sequence lsg when three letters picked without replacement from {i: 2, s: 4, g: 2, c: 2, l: 2, m: 2}? 2/273 Three letters picked without replacement from dllnnhwg. Give prob of sequence dng. 1/168 Two letters picked without replacement from {u: 4, o: 5, w: 7}. What is prob of sequence ww? 7/40 Three letters picked without replacement from sjjjsjsssjjsjjq. Give prob of sequence jjj. 8/65 Three letters picked without replacement from {c: 1, l: 7}. Give prob of sequence lll. 5/8 What is prob of sequence vi when two letters picked without replacement from {v: 5, i: 2, a: 5}? 5/66 What is prob of sequence qqhm when four letters picked without replacement from {q: 4, h: 2, m: 5, w: 1, e: 1, i: 2}? 1/273 Three letters picked without replacement from pejrpjvpvjpjv. Give prob of sequence jve. 1/143 What is prob of sequence iiu when three letters picked without replacement from ddiuiiuiiuiiiiiuidii? 26/285 Two letters picked without replacement from {l: 1, a: 2, s: 2, y: 6}. Give prob of sequence ya. 6/55 What is prob of sequence ffwf when four letters picked without replacement from {w: 2, f: 3}? 1/10 What is prob of sequence auc when three letters picked without replacement from caucacaccaacacaaccud? 2/95 What is prob of sequence gul when three letters picked without replacement from {u: 10, g: 5, l: 4, t: 1}? 5/171 Calculate prob of sequence jnj when three letters picked without replacement from {j: 3, n: 2}. 1/5 Calculate prob of sequence pgr when three letters picked without replacement from {o: 1, r: 1, g: 1, q: 1, p: 1}. 1/60 Four letters picked without replacement from qqqtlqst. Give prob of sequence ltsq. 1/210 Four letters picked without replacement from rrrmmm. What is prob of sequence rrmm? 1/10 Three letters picked without replacement from bbbbbbbbbbbkbbbbkb. What is prob of sequence bkb? 5/51 Three letters picked without replacement from {o: 8, p: 4, b: 1}. What is prob of sequence poo? 56/429 Calculate prob of sequence odf when three letters picked without replacement from {o: 3, u: 2, f: 2, d: 5}. 1/44 Two letters picked without replacement from llulullxphuplulluulu. Give prob of sequence xl. 9/380 Two letters picked without replacement from {h: 1, e: 3, l: 3, d: 1, w: 2, s: 1}. Give prob of sequence hl. 3/110 Calculate prob of sequence jsrp when four letters picked without replacement from yrrzjspp. 1/420 Two letters picked without replacement from pppppupppppp. What is prob of sequence up? 1/12 Calculate prob of sequence mh when two letters picked without replacement from {m: 3, h: 5, a: 1}. 5/24 Calculate prob of sequence nwwn when four letters picked without replacement from {w: 10, n: 2}. 1/66 Calculate prob of sequence oww when three letters picked without replacement from {o: 3, w: 8, f: 4, p: 4}. 28/969 Three letters picked without replacement from zddedzzzz. What is prob of sequence ddz? 5/84 Two letters picked without replacement from gkgklwhllugw. Give prob of sequence kl. 1/22 Four letters picked without replacement from {u: 12, t: 3}. What is prob of sequence utuu? 11/91 What is prob of sequence sc when two letters picked without replacement from {s: 1, q: 3, c: 4}? 1/14 What is prob of sequence psp when three letters picked without replacement from {p: 11, s: 9}? 11/76 Calculate prob of sequence jjj when three letters picked without replacement from lljljlllllllllljjl. 1/204 Calculate prob of sequence pl when two letters picked without replacement from llplplpllpllpppppppl. 99/380 Three letters picked without replacement from uiih. What is prob of sequence uhi? 1/12 Four letters picked without replacement from trrzarrfetartrfze. Give prob of sequen
{ "pile_set_name": "DM Mathematics" }
- 4 for i. 1 Let a be (-2)/(-5) + 52/20. Let i be -4 + (-136)/(-16) + 3/(-6). Solve 0 = i*j + a*j - 35 for j. 5 Let q be (5 - 13) + 17 - 31. Let u(t) = t**3 + 22*t**2 - 4*t - 88. Let h be u(q). Solve -25 = -5*f - h*f for f. 5 Let k = -239 + 222. Let c(t) = -t**2 - 21*t - 67. Let i be c(k). Solve i = m + 1 for m. 0 Let w = 1941 - 1934. Solve 65 + w = 24*p for p. 3 Let v(b) = 11*b + 4. Let j = 680 + -680. Let u be v(j). Solve 1 = u*a - 3 for a. 1 Suppose 0*i = -4*i + 28. Let j(b) be the first derivative of -b**3/3 + 6*b**2 - 31*b - 900. Let o be j(i). Solve 0 = -o*x + 6 + 6 for x. 3 Let n be -13 + 999/(-3 + 12). Solve 0 = -13*i - 150 + n for i. -4 Let a be 131/5 + (-24)/(-30). Suppose a = 7*l + 2*l. Solve l*q - 16 + 1 = 0 for q. 5 Let g be 350/4 + (-2)/(16/(-12)). Suppose 81 = -2*h + g. Suppose 0 = -k + 6*k - 10. Solve k = -l + h for l. 2 Let v = -214 - -422. Suppose -28*n = -20*n - v. Solve -21 = w - n for w. 5 Suppose -6*d + 148 = 1348. Let l = d - -210. Solve -4*w + 2 = l for w. -2 Suppose 2*i + 363 = -3*o, -2*i + 2*o - 167 = 191. Let y = i - -185. Solve c - y = -10 for c. -5 Let j(d) = 18*d**2 - 5 + 4*d**2 + d**3 + 21*d + 9. Let b be j(-21). Let q(n) = n**2 + 5*n - 4. Let c be q(-6). Solve b*k = c*k + 10 for k. 5 Suppose -5*q + 267 = -193. Let l = -87 + q. Suppose 0 = -7*i - l + 26. Solve 2*p - 5 = -i for p. 1 Let p = 307 - 129. Let v = -175 + p. Solve -2*g + 5 = -v for g. 4 Let a = 70 + -195. Let j = a - -125. Solve 35 = -7*w - j*w for w. -5 Let s be 612/38 + (-16)/456*3. Solve 50 = 26*y - s*y for y. 5 Let h = 235 - 96. Suppose 4*z = h - 43. Let b = 27 - z. Solve -11 - 4 = -b*c for c. 5 Suppose 2*a - 57 = -3*x, 3*a - 2*x - 11 - 107 = 0. Solve a = -202*i + 193*i for i. -4 Let w = -114 - -204. Let f be -3*2/4 + w/20. Solve f = h + 4 for h. -1 Suppose -60*g = -1195 - 185. Solve -g + 78 = -11*a for a. -5 Suppose -l = 3*i - 74, 15*l - 153 + 55 = -i. Let y = -28 + 53. Solve -y = -2*s - i for s. 1 Let w be ((-5)/1)/(-3 - (0 + -2)). Suppose 4*q - w*k = 69, -4*q + 19 = 2*k + 3*k. Suppose 1 = 4*g - q. Solve 0*a + g*a = -9 for a. -3 Let u be (-1)/(-3*(-6)/(-54)) - (-243 - -13). Solve 235*b - u*b = -12 for b. -6 Suppose -2*s + 6 = -8. Suppose s*u + 1 = 29. Solve -u*j - 16 = -4 for j. -3 Let m be (-1384)/(-44) - 7*(-5 + (-1895)/(-385)). Solve -m*p + 23*p + 9 = 0 for p. 1 Let y be (5/15)/((-2)/(-12)). Suppose -d - 4*h = -9, -17 = -3*d - 8*h + 6*h. Solve -d*i - y = -7 for i. 1 Suppose -1 = -2*i + 2*o + 9, i - 7 = 3*o. Solve 0 = 33*d - 29*d + i for d. -1 Suppose c + 13 = 2*c + 2*b, 3*c - 2*b = 23. Let u = c - 0. Let t = 19 - u. Solve 3*k = -2 - t for k. -4 Let q = 4374 - 4374. Solve q = -6*l - 11*l - 102 for l. -6 Let x(y) = y**3 - 5*y**2 + 34*y - 126. Let g be x(7). Solve g*r = 213*r + 3 for r. -1 Let t be (-82)/((-4)/3*(-237)/(-158)). Solve -8*a + t - 81 = 0 for a. -5 Let k(x) = 5*x - 87. Suppose 48 = 2*g + 3*f, -g + 40 = g + f. Let n be k(g). Solve -n*j + 4 = 10 for j. -2 Let o be -6*(-1 + -11)/6. Solve -133*l = -129*l - o for l. 3 Let p(b) = b**3 + 12*b**2 + 9*b + 110. Let z be p(-12). Let v(j) = -2*j + 12. Let g be v(5). Solve -g = -z*i - 0 for i. 1 Suppose 29 = 7*j + 1. Let h be (-1 - -7)*((-38)/j + 2). Let q = h + 65. Solve d = -4*d - q for d. -4 Suppose 4*r = 2*b + 2, -4*r - 4*b - 55 = -75. Solve 10*s - 12 = -r*s for s. 1 Suppose -5*o + v + 910 = 0, 1257 = -o + 4*v + 1439. Solve -161 = 49*j + o for j. -7 Let z be (8 - 6) + -10 - -8. Suppose 2*f + 7*f = z. Let y be 2/(-4) + (-10)/(-4). Solve f*n = y*n - 4 for n. 2 Let t be (100/18)/(19/171). Solve 2*o + 42 - t = 0 for o. 4 Let n(c) = -10*c + 6. Let k be n(1). Let l be (-1)/k - 3689/(-124). Solve 0 = -3*i - 7*i - l for i. -3 Suppose -5*w - 6020 = -12*w - 21*w. Solve 206*g - 54 = w*g for g. -6 Suppose -12 = 3*w - 6*w. Suppose 5*u - m = 22, m - w = -1. Let b = -1049 - -1065. Solve -u*i = -i - b for i. 4 Let a be 11358/4 + -4 + 36/8. Let r(m) = 0*m - a - m + 2841. Let t be r(-1). Solve 0 = -h - 0 - t for h. -2 Suppose 26595 + 20268 = 41*c. Solve -1149*i + c*i + 18 = 0 for i. 3 Let o(v) = -7*v - 18. Let n be o(-9). Let t = -39 + n. Suppose -t*f + 2*f = -16. Solve f + 0 = 4*b for b. 1 Suppose -3*o + 81 = 4*v, 0 = 4*o + 5*v - 18 - 89. Suppose -4*z + 3 = -37. Let p be o + z/((-10)/(-2)). Solve n + 4*n - p = 0 for n. 5 Let l be -1 + 80/64*4. Solve -l = -538*k + 540*k for k. -2 Suppose 0 = 3*a + 4*y - 18, -5*a + y - 5*y + 22 = 0. Suppose 0 = -3*u + 7 + a. Solve -u*q = q for q. 0 Let f(a) = a**2 - 11*a. Let u be f(11). Suppose 5*o + 0*w = -2*w - 126, u = 3*o - 5*w + 88. Let d = -23 - o. Solve 1 = -d*x - 2 for x. -1 Suppose 3*h = -s + 15, -43*s + 3*h + 75 = -38*s. Suppose -s*g = 22*g - 333. Solve 4*w - 13 + g = 0 for w. 1 Let h(q) = -8*q**2 + 17*q - 44. Let v be h(8). Let n = -416 - v. Solve 2*l = 6*l - n for l. 1 Let w(x) = 2*x**2 - 76*x + 732. Let s be w(16). Solve s*u - 19*u - 63 = 0 for u. 7 Let m be (1 + 10)*(-185)/74*(-6)/15. Solve 167 - 200 = m*d for d. -3 Let v(d) = d**2 - 13*d - 63. Let c be v(-8). Suppose -25 = 4*m - c. Solve -m = 4*p - 8 for p. -3 Let y = -7 + 3. Let h(r) be the second derivative of r**4/6 + 4*r**3/3 + r**2 + 15*r. Let n be h(y). Solve -2*b + b + n = 0 for b. 2 Let o(z) be the third derivative of z**6/120 - 37*z**5/60 - 37*z**4/24 - 11*z**3/2 + 16*z**2. Let q be o(38). Solve -5*f - q = 20 for f. -5 Let w be ((-6)/4)/((-51)/(-68)). Let u be 0 - w/7 - (-338)/91. Suppose -2*m = c - 0*m, 0 = -5*c - u*m + 6. Solve -c*i = 2*i + 16 for i. -4 Suppose -102 = -34*t - 11*t + 33. Suppose -j - 15 = -3*z, -2*z = 2*z + j - 20. Let o = -5 + z. Solve t*k + 4 - 7 = o for k. 1 Let o be ((-36)/42)/2 - (-4)/(-7). Let u be 8 + o/((-5)/5). Suppose -21 = -4*y - u. Solve c + 6 = y*c for c. 3 Let o be (-12)/(-14)*(-199794)/(-1278). Solve -o + 134 = -b for b. 0 Let k = -128 - -140. Let i be (-16)/24 + ((-17)/(-3) - 1). Solve -k = -4*t - i for t. 2 Let q be 4 - (-5)/((-5)/43). Let j be (-3)/(-1)*26/q. Let m be j - (4 - (8 - -1)). Solve -h - 1 = m for h. -4 Let l(i) = 53*i - 3. Let o(a) = -52*a + 4. Let v(m) = 4*l(m) + 5*o(m). Let k be v(1). Let j = k - -44. Solve d - j = 3*d for d. -2 Suppose -4*u + 5*o = -5*u - 44, 5*o = 0. Let l = -40 - u. Solve -l*n + 0*n = -16 for n. 4 Let u = -385 - -416. Suppose 39*g = u*g + 56. Solve 0 = -2*s - 5*s - g for s. -1 Suppose 5*d = -3*i - 5, -d - i = 4*i + 23. Solve -d - 13 = 5*t for t. -3 Let o be (-10)/2 - 273/14*(6 + -14). Solve 166*u - o*u + 105 = 0 for u. -7 Let y(l) = -16 + 10 - 4. Let d(a) = a - 49. Let m(q) = 2*d(q) - 11*y(q). Let n be m(-5). Solve n*v = -3*v - 20 for v. -4 Let l = 339 + -336. Suppose -l*v - v - 4*d = -32, -4*v + 31 = 3*d. Solve -2 = v*a - 9 for a. 1 Suppose -123 - 205 = 4*p. Suppose 341*g - 348 = 337*g. Let m = g + p. Solve 15 = m*n - 8*n for n. -5 Let v(m) = 24*m + 24. Let y be v(15). Suppose 0 = -4*b + 3*a + y, 0*b - a = b - 103. Suppose 0 = -7*s - 4*s + b. Solve 0 = -s*w + 4*w for w. 0 Let y(o) = 13*o - 3. Suppose 3*a - 8 = -2*w, -a - 3 = -6*w + w. Let s be y(a). Let f = -3 + s. Solve -b - f = -5*b for b. 5 Suppose 5*i - 1474 = -2*a, -5853 = 4*a - 5841. Solve -299*g = -i*g for g. 0 Suppose -30 = 50*f - 55*f. Let a be ((-4)/f)/((-4)/12). Solve -a = -2*w + 4 for w. 3 Let i(b) = -4 + b - 2*b + 1. Let r be i(-5). Suppose 852 = 29*a + 562. Solve r*h + a = 2 for h. -4 Suppose -k = 58 + 26. Let g be (-189)/k + (-2)/8. Solve -g*z - 10 = -0 for z. -5 Let z be ((-2)/(-8) + 15669/(-180))*340/(-17). Solve -1729*t + 35 = -z*t for t. -5 Let r(q) = q**3 - 29*q**2 + 110*q + 5. Let k be r(4). Solve -9 = 12*l - k for l. 3 Let a = -77 + 88. Suppose -2*l - 4 = 4*s, 5 = 2*l - s - a. Let u(g) = 3*g - 14. Let b be u(l). Solve -h + 0*h = -b for h. 4 Suppose -5*z = 5*j - 6*z + 113, -4*j - 88 = -2*z. Let u = 28 + j. Solve 2*l + u = 11 for l. 3 Let t = -13943 - -14055. Solve 5*v + t = 33*v for v. 4 Suppose 0 = 5*i - 5*h - 15465, 9*i - 2*h - 12358 = 5*i. Solve -b + i = 3083 for b. 3 Let k(c) = -3*c - 7. Suppose 4*w = -13 - 3. Let f be k(w). Suppose 0 = -f*r - x + 20, 3*r - 2*x - 11 - 1 = 0. Solve -l + 6 = -r*l for l. -2 Suppose -30 + 4 = -13*f. Suppose 0 = -10*x + 13*x - 6. Suppose -7*b + 2*q - 4 = -f*b, -4*b + q - x = 0. Solve b = 2*t - 4*t + 4 for t. 2 Let v(s) = -5*s**2 + 14*s - 84. Let j(n) = 4*n**2 - 15*n + 83. Let z(m) = 4*j(m) + 3*v(m). Let l be z(12). Solve 5*o +
{ "pile_set_name": "DM Mathematics" }
- 72 + 19. Let t(l) = -2*l. What is t(a(z))? 62*z - 14 Let f(v) = -2 + 2 + 3*v. Let h(k) = -5*k - 3. Suppose -5*x + 38 = 23. Let g(m) = -6*m - 4. Let s(q) = x*g(q) - 4*h(q). Determine s(f(z)). 6*z Let r(w) = 765*w + 136. Let g(j) = 9*j - 10*j - 16*j - 3. Let n(f) = 136*g(f) + 3*r(f). Let y(l) = l**2. What is n(y(m))? -17*m**2 Let m(s) = -4*s. Let o(w) = -43*w. Let q(a) = 44*m(a) - 4*o(a). Suppose 2*f + 14 - 18 = 0. Let j(p) = -2*p**2 - 4*p**2 + 6*p**f - 2*p**2. What is j(q(c))? -32*c**2 Let a(z) = z**2. Let q be -3 + 0 - (2 - 7). Let h(k) = -44*k**q - 4*k**2 - 17*k**2. Calculate h(a(n)). -65*n**4 Let r(m) = m**2. Suppose i - 18 + 12 = 0. Let p(d) = -5*d - i*d + 17*d. Calculate p(r(n)). 6*n**2 Let t(l) = 5*l. Let r(x) be the third derivative of 11*x**5/30 + x**3/3 + 189*x**2. Give t(r(p)). 110*p**2 + 10 Let z(a) = 20*a. Let d(w) be the third derivative of w**7/1680 - 19*w**5/60 - 17*w**2. Let q(l) be the third derivative of d(l). Determine z(q(f)). 60*f Let y(d) = -2*d**2. Let z(l) = -190247*l. What is y(z(p))? -72387842018*p**2 Let j(i) = -9*i**2 - 2. Let s(o) = -o**2 - 1. Let u(w) = j(w) - 2*s(w). Let t(b) be the first derivative of 7*b**3 + 14 - b**3 - 5*b**3. Calculate t(u(y)). 147*y**4 Let m(i) be the second derivative of 0 + 0*i**3 - 2*i + 5/3*i**4 + 0*i**2. Let l(h) = -2*h. Give l(m(a)). -40*a**2 Let s(i) be the third derivative of i**5/15 + 46*i**2. Let w(d) be the third derivative of -d**4/12 - d**2. Give w(s(r)). -8*r**2 Let k(j) = 3*j. Let o(q) = -25367*q - 2 - 5 + 25419*q. Determine k(o(t)). 156*t - 21 Let n be (0/(-1)*-1)/(-2). Let l(d) be the first derivative of 2 + 0*d + n*d**2 + 2/3*d**3. Let k(a) = 3*a**2. What is k(l(y))? 12*y**4 Let w(o) = -11*o - 4. Let j(r) = -31*r - 11. Let m(b) = -4*j(b) + 11*w(b). Let k(l) be the first derivative of -2/3*l**3 - 1 + 0*l**2 + 0*l. Determine k(m(c)). -18*c**2 Let y(x) = x. Let n(a) = 259*a - 91*a - 96*a. What is n(y(f))? 72*f Let r(a) = a - 3*a + 0*a. Let n(j) = 42001*j + 82*j**2 - 42001*j. Determine n(r(f)). 328*f**2 Let j(i) = 2*i. Suppose 9*g - 77 = -59. Let f(h) be the third derivative of 1/2*h**4 - 6*h**g + 0*h**3 + 0 + 0*h. Determine j(f(z)). 24*z Let b(q) = -7*q**2. Let w(f) be the third derivative of 13*f**2 + 0 - 1/6*f**4 + 0*f**3 + 0*f. Give b(w(z)). -112*z**2 Let h(f) = 9*f - 7. Let a be h(1). Let k(r) = -a*r + 3*r + 2*r + r. Let l(s) = -6*s. Determine l(k(j)). -24*j Let f(b) = -37*b. Let y(x) be the third derivative of -31*x**5/60 - 616*x**2. Calculate y(f(m)). -42439*m**2 Let b(w) = 8793824*w**2. Let f(r) = r**2. What is f(b(q))? 77331340542976*q**4 Let b(o) = -2*o. Let m(u) = u**2 + 1. Let w(z) = -3*z**2 + 4*z - 6. Let x(l) = -6*m(l) - w(l). Give x(b(j)). -12*j**2 + 8*j Let h(m) be the second derivative of 2*m**4/3 + 14*m + 5. Let y(o) = o. What is h(y(x))? 8*x**2 Let m = 5 - 11. Let v be 372/18 - (-4)/m. Let s(j) = 2*j - v + 20. Let x(c) = -11*c. Determine x(s(r)). -22*r Let x(f) be the third derivative of -7*f**4/24 - 314*f**2. Let m(q) = -q - 1. Let n(v) = -20*v - 16. Let j(b) = -16*m(b) + n(b). Calculate x(j(k)). 28*k Let r(y) = y. Let g(v) = 227*v**2 + 11*v**2 + 96*v**2 + 108*v**2. Determine g(r(u)). 442*u**2 Let g(o) = -3684*o**2 + 1. Let s(j) = -101*j**2. Give g(s(n)). -37580484*n**4 + 1 Let y(v) = 6*v + 35. Let u(a) = 4*a + 25. Let l(x) = -7*u(x) + 5*y(x). Let r(m) be the first derivative of -m**2/2 + 1. Give l(r(h)). -2*h Let g(i) = -4*i. Let f(m) = -1870*m. Determine g(f(j)). 7480*j Let y(c) = -64*c + 186*c - 2 - 57*c - 63*c - 3. Let f(p) = 3*p. Calculate y(f(s)). 6*s - 5 Let b(n) be the second derivative of 0 + 2/3*n**4 + 0*n**3 - 3*n + 0*n**2. Let y(q) = -3*q**2. Calculate y(b(l)). -192*l**4 Let h(l) = -17*l**2. Let x(c) = 725*c. Give h(x(r)). -8935625*r**2 Let w(p) = 468*p - 1. Let a(h) = -3*h**2. Give a(w(l)). -657072*l**2 + 2808*l - 3 Let g(s) be the first derivative of -88*s**3/3 - 3*s**2/2 - 572. Let q(r) = r. Give g(q(y)). -88*y**2 - 3*y Let b(f) = 0*f + 0*f - 2*f. Let m(z) = 45*z - 31*z - 9*z - 12*z. What is m(b(y))? 14*y Let c(i) = -2*i. Let y(n) = -99696*n. Give y(c(x)). 199392*x Let v(u) = 2*u**2 - 7*u + 1. Let m(w) = -2*w**2 - w. Let s(x) = 28*m(x) - 4*v(x). Let q(l) = -2*l**2. Determine q(s(c)). -8192*c**4 - 1024*c**2 - 32 Let k(z) be the second derivative of 7*z**3/6 - 5*z. Let y(c) = 5 - 3 - 2 + 2656*c - 2657*c. Give y(k(b)). -7*b Let w(k) be the second derivative of 2*k**4 - 48*k. Let u(o) be the second derivative of -o**3/6 - 2*o. Give u(w(y)). -24*y**2 Let q(j) = -j + 71 - 33 - 38. Let o(a) = a**3 + 11*a**2 + 10*a + 4. Let c be o(-10). Let t(v) = -6*v + 0*v + v + c*v. What is q(t(h))? h Let h be -2*1/2*-3. Let b(x) = -h*x + x + 3*x. Let a(l) = 15*l**2. Calculate a(b(m)). 15*m**2 Let o(x) = x**2. Let c(p) = -3 + 3 - 1 - 8542*p + 8501*p. Determine c(o(i)). -41*i**2 - 1 Let m(k) = k. Let v(a) = -183818*a. What is v(m(l))? -183818*l Let i(d) = -30*d. Let s = 59 - 31. Let b(c) = 28 - s + 2*c - 4*c. Give b(i(k)). 60*k Let b(k) = 16*k + 96 - 4*k**2 - 96 - 16*k. Let f(z) = -30*z. Determine b(f(u)). -3600*u**2 Let d(b) = 105*b**2 - 1. Let h(r) = -2*r - 8. Give h(d(s)). -210*s**2 - 6 Let h(o) = 45*o**2. Let v(w) = 10*w**2 - 6*w - 2. Let u(j) = 10*j**2 - 9*j - 3. Let d(g) = -2*u(g) + 3*v(g). Give d(h(p)). 20250*p**4 Let w(a) = -5*a**2 - 14*a. Let y(v) = 1192*v**2. Give w(y(b)). -7104320*b**4 - 16688*b**2 Let j(b) be the second derivative of 11*b**5/30 + 10*b**2 - b. Let t(p) be the first derivative of j(p). Let g(q) = q**2. Give g(t(l)). 484*l**4 Let q(d) = -50*d**2. Let n(f) = -25*f**2 + 33*f**2 - 9*f**2. What is q(n(w))? -50*w**4 Let g(j) be the second derivative of -409*j**4/6 - 200*j. Let d(b) = b**2. Calculate d(g(a)). 669124*a**4 Let f(q) be the second derivative of 4*q + 0*q**2 + 0*q**3 - 1/12*q**4 + 0. Let p(j) = 6*j - 4. Let g(x) = 7*x - 5. Let l(a) = -4*g(a) + 5*p(a). Give l(f(y)). -2*y**2 Let c(n) = n**2 - 1. Let u(q) = -1. Let y(o) = 4*c(o) - 4*u(o). Let l(t) = 34*t + 8. Let p(b) = 12*b + 3. Let w(d) = -3*l(d) + 8*p(d). Calculate w(y(m)). -24*m**2 Let i(q) = 12*q**2 - 2*q. Let c(s) = -9*s - 2. Calculate c(i(r)). -108*r**2 + 18*r - 2 Let k(t) = -t - 1. Let g(y) = 4 - 74*y - 22 - 19. Let l(x) = g(x) - 37*k(x). Let p(i) = -i**2. Give p(l(n)). -1369*n**2 Let z(f) = -13*f**2 + 5. Let n(x) = 18*x**2 - 7. Let v(r) = 5*n(r) + 7*z(r). Let c(l) = -116*l**2. Calculate v(c(i)). -13456*i**4 Let t(a) = -89*a - 12. Let b(u) = -18335*u - 2470. Let o(z) = 6*b(z) - 1235*t(z). Let p(s) = 3*s. What is o(p(m))? -285*m Let p(a) = -27*a**2 - 4*a. Let u(v) = 53*v**2 + 7*v. Let h(n) = -7*p(n) - 4*u(n). Let o(q) = 10*q. What is h(o(t))? -2300*t**2 Let g = -4 + 12. Let f(c) = -68*c - 8. Let l(t) = -45*t - 5. Let w(k) = g*l(k) - 5*f(k). Let r(v) = v. Calculate w(r(s)). -20*s Let l(y) = 7*y. Suppose -17 = 3*q - 5*g, 0 = -3*g + 4 + 8. Let h = q - 1. Let v(s) = h*s + 2*s - s - 2*s. Calculate l(v(d)). -7*d Let k(i) be the first derivative of i**2/2 - 1. Suppose 4*m = -0*h - 3*h + 20, -3*m + h + 2 = 0. Let p(z) = z**2 - m + 3 - 1. Calculate k(p(b)). b**2 Let l(b) = -5*b - 2. Let c(x) be the second derivative of -x**4/12 + 624*x. Determine l(c(s)). 5*s**2 - 2 Let w(s) = -44*s**2. Let u(p) = -2*p**2 - 2483*p. Give u(w(o)). -3872*o**4 + 109252*o**2 Let u(a) be the second derivative of -19*a**3/6 + a. Suppose 266*k = 267*k - 4600. Let f(t) = -4600 + t + k. Determine u(f(c)). -19*c Let w(r) = -r**2. Suppose 15*h + 80 = 20*h. Let g(d) = 3*d**2 + h*d - 16*d. Give g(w(c)). 3*c**4 Let c(l) = 16*l**2 + 56010*l. Let a(f) = -3*f. Give a(c(d)). -48*d**2 - 168030*d Let m(d) = d + d - 2*d - 9 + 5*d. Let k(f) = 2*f - 4. Let v(i) = -9*k(i) + 4*m(i). Let c(h) be the first derivative of -4*h**3 - 5. What is c(v(o))? -48*o**2 Let l(y) = 5*y. Let f(u) = 2 + 2*u - u + 0*u + 0. Let z(g) = g + 1. Let h(q) = f(q) - 2*z(q). Give h(l(d)). -5*d Let c(s) = -18*s**2 - 8*s**2 + 0*s + 0*s + 27*s**2. Let o(b) be the third derivative of 0*b + 0 + b**2 - 1/12*b**4 + 0*b**3. Calculate o(c(m)). -2*m**2 Let g(f) = -7*f**2. Let d(o) be the third derivative of 0 + 0*o**3 + 0*o + 1/30*o**5 + 47*o**2 + 0*o**4. Give d(g(s)). 98*s**4 Let h(u) = -3979*u**2. Let w(r) = 5*r**2. Give w(h(v)). 79162205*v**4 Let c(n) = 93*n**2 - 5*n + 10. Let k(z) = 372*z**2 - 21*z + 42. Let w(s) = -21*c(s) + 5*k(s). Let h(p) = -5*p. Calcu
{ "pile_set_name": "DM Mathematics" }
ose -4 = -w + 2. Suppose 2*f - 4*h - w = 0, -4*f - 4*h = -0*f - 24. Sort -2, f, -1/3. -2, -1/3, f Let a(l) = -l - 2. Let u be a(0). Suppose -4*w + 1 + 7 = 0. Sort w, u, 3. u, w, 3 Let x = 4.3 - 8. Sort -2/5, 4, x in increasing order. x, -2/5, 4 Suppose -6*c - 6 + 18 = 0. Sort c, -4, 7. -4, c, 7 Let b be (-6)/(-9) - 76/6. Let o = b - -27. Suppose o = 2*n + 3*n. Put -4, n, 4 in ascending order. -4, n, 4 Let f be 0 + -2 - (-2 + 1). Let i = 8 + -6. Let l be (-2)/(-3) - 17/3. Sort l, i, f in decreasing order. i, f, l Suppose 2*t + 7 = 5. Put 3, -5, t, -6 in descending order. 3, t, -5, -6 Let m = -173 + 173. Put m, 5, -3 in ascending order. -3, m, 5 Let z = -5 + 7. Let l = z + -6. Put 3, l, 1 in decreasing order. 3, 1, l Suppose o = 3*d + 1, 5*o + d + 2*d - 5 = 0. Sort 7, 0.1, o, -0.4 in descending order. 7, o, 0.1, -0.4 Let j = 40.31 + -40. Let x = -0.01 + j. Let t = -2 + 3. Sort t, x, 2. x, t, 2 Let s = 13 + -24. Let o = -14 - s. Sort o, 1, 2 in descending order. 2, 1, o Suppose -2*d = d - 9. Sort d, -5, -1, 5 in increasing order. -5, -1, d, 5 Let o = -0.14 + 0.54. Let b = 20 - 20.1. Put -6, b, o in ascending order. -6, b, o Let b(q) = -q**2 + 5*q + 3. Let p be b(6). Suppose 2*r + 9 + 11 = 4*h, -35 = -5*h + 5*r. Let k = p + h. Sort 5, k, -1. -1, k, 5 Suppose -2 = -l + 1. Suppose -l*a - 25 = -4*z + 7, z - 21 = 4*a. Let i(m) = -m**2 - 3*m + 2. Let t be i(a). Sort 2, t, 3. t, 2, 3 Suppose 2*d + 2*d - 20 = 0, -3*m - 5*d + 37 = 0. Put 5, 0, m in decreasing order. 5, m, 0 Suppose -3*g + 31 = 5*k, 6*g + 24 = 4*k + 8*g. Sort k, -29, 1. -29, 1, k Let v be 64/272*1/2. Let t be -1 + 0 + (-5)/(-7). Sort v, 0.1, t in decreasing order. v, 0.1, t Let a = -17 - -29. Suppose 0*o + 2*o - z = -7, -a = 4*z. Put 3, 1, o in descending order. 3, 1, o Let b(j) = 6*j**2 + 2*j + 1. Let c be b(-1). Suppose 2*x - 4*x + 6 = -2*i, -2*x = 3*i - 11. Sort 3, c, i. i, 3, c Suppose -f - 20 = 4*f. Let r = 2 - 1. Let b = -2/45 + 4/9. Put b, r, f in decreasing order. r, b, f Suppose x + 0*b = 5*b + 10, -2*x + 4*b + 2 = 0. Suppose 3*w + q + 1 = 7*w, 5*w - 2*q - 5 = 0. Sort 2, w, x in decreasing order. 2, w, x Let r = -3 - -8. Let w be r*5/((-50)/(-32)). Let l = -11 + w. Sort -0.2, 2, l in ascending order. -0.2, 2, l Let t = 0 + -5. Let j be 1 + 2*39/(-60). Sort -0.2, j, t in ascending order. t, j, -0.2 Let v = 22.98 + -23. Sort -5, v, -1/11 in ascending order. -5, -1/11, v Suppose -4*q + 20 = 0, 0 = 4*w - 5*q + 9 - 0. Suppose 0 = t + w*j - 8, -3*t + 13 = -t + 5*j. Suppose -19 = 3*p - 4. Put p, t, -1 in descending order. t, -1, p Let r(b) = b**3 - 8*b**2 - 6*b - 12. Let o be r(9). Let d be (-26)/(-5) + (-3)/o. Put -5, d, -3 in decreasing order. d, -3, -5 Let c = -31 + 30.8. Let m = 0.7 + -0.2. Sort 1/8, m, c in decreasing order. m, 1/8, c Let q(y) = -y**2 - 4*y + 2. Suppose 2*o + 2*p + 9 = -5, -2*o - 4 = -3*p. Let f be q(o). Suppose 100 = 17*j + 3*j. Sort j, 2, f in decreasing order. j, 2, f Let l be 1 + ((-4)/1 - 1). Sort -1, l, 2 in increasing order. l, -1, 2 Let l(q) = -2*q - 3. Let v be l(-4). Let o(s) = -3*s**3 - s**2 - 2*s - 1. Let u be o(-1). Let c = -3 + u. Put c, v, 1 in decreasing order. v, 1, c Let n = 0.13 - 4.13. Put 2/11, -0.2, n in increasing order. n, -0.2, 2/11 Let u = 11904889 - 15869214233/1333. Let t = u - 96/43. Let v = 43/93 + t. Put 5, v, -3 in descending order. 5, v, -3 Let r be (1/(-17))/(3/(-6)). Let i(h) = 3*h**3 + 2*h**2 - 1. Let q be i(-1). Let x = q - -7. Sort r, x, 0.4 in increasing order. r, 0.4, x Let g be ((-9)/(-24))/(126/(-1304)). Let c = -25/6 - g. Let s = -16 - -210/13. Put c, s, -0.3 in ascending order. -0.3, c, s Suppose 0*k = 3*a + 3*k, -2*k = 5*a - 15. Put a, -6, 1 in increasing order. -6, 1, a Let c(s) = 4*s. Let k be c(1). Suppose v = -4*v. Let o(j) = -j - 5. Let g be o(-8). Sort k, g, v in descending order. k, g, v Let t = -215/3 - -70. Put 2, 14, t in decreasing order. 14, 2, t Suppose m - 5*m + 2*s - 2 = 0, -5*m + 5*s + 5 = 0. Let z be (0 + -6)/((-3)/m). Suppose 2*w = -p + 1, -2*w = -0*w + 4. Put z, 4, p in ascending order. z, 4, p Let f(z) = 2*z**3 + z**2. Let a be f(1). Suppose u - 8 = -a. Let t = -6 + 3. Sort u, -1, t in descending order. u, -1, t Suppose -50 = 5*r - 8*c + 5*c, 0 = r - c + 10. Let f be 14/70 - 48/r. Sort -3, f, 0.3 in increasing order. -3, 0.3, f Let k = -3.24 - -0.24. Sort -1/10, k, 1 in ascending order. k, -1/10, 1 Let v(a) = a**3 + 46*a**2 - 51*a - 192. Let t be v(-47). Suppose -3*d - 20 = 4. Let s be d/(-3) - 1/(-3). Sort t, -5, s in ascending order. -5, t, s Suppose -20 - 16 = 4*q. Let n = q + 14. Let v(o) = o + 1. Let a be v(-4). Sort 2, n, a in descending order. n, 2, a Let p = 0.8 + 2.2. Let a be (-30)/(-9)*54/(-45). Put 0.5, p, a in decreasing order. p, 0.5, a Suppose -5*l - 11 = -31. Suppose 0 = 2*z - 6*z + 12. Suppose -15 = -5*o, -2*o = -2*k - 3*o - 1. Sort z, l, k in descending order. l, z, k Let v = 8 - 7.6. Put 4, -3, v in descending order. 4, v, -3 Suppose 0*w = 5*z - 5*w + 25, 22 = -5*z + 2*w. Let d = -0.12 + 6.12. Let y = 5.6 - d. Sort 0.1, y, z in decreasing order. 0.1, y, z Let z = 5.7 - 10.7. Put -3, z, -6 in decreasing order. -3, z, -6 Suppose -v - 36 = -5*v - 4*b, 4*v = -b + 30. Let g be (1 - -1)*1 - v. Let a(s) = s - 7. Let z be a(5). Sort z, -4, g in increasing order. g, -4, z Let r = 24 + -23. Let p = r + 0. Put p, 5, 2 in descending order. 5, 2, p Let a = -6 - -4. Let t = 443/45 - 94/9. Sort a, 0.1, t in ascending order. a, t, 0.1 Let m(t) = t**2 - 3*t - 6. Let v be m(-3). Sort v, -4, -2 in descending order. v, -2, -4 Let l = 58.5 + -59. Sort -1/16, l, -2/5. l, -2/5, -1/16 Suppose 0 = -2*n + r - 5, -5*r + 27 - 2 = 5*n. Sort 5, n, -3 in descending order. 5, n, -3 Let b(i) = i**3 - 9*i**2 + 4. Let q be b(9). Put 1, -3, 5, q in decreasing order. 5, q, 1, -3 Suppose r - 2*a = -38, -2*a = -4*r + 8*r + 102. Let z = r - -31. Sort z, 4, 6. z, 4, 6 Let d = -11.3 - -12. Let a = d + -0.7. Put 5, -0.4, a in descending order. 5, a, -0.4 Let v be -2 - ((-2 - -1) + -5). Suppose q + v = -2. Let c = 8 + q. Sort c, -2/9, -0.3 in increasing order. -0.3, -2/9, c Let r be (-31)/8 + 1 + 3. Let q = -7.1 - -7. Let t = 0.3 + -0.2. Sort r, q, t in ascending order. q, t, r Let x = 66 - 65. Let l(w) = 3*w**3 - 2*w + 1. Let u be l(1). Put u, 0, x in ascending order. 0, x, u Let v = 207 - 212. Sort 45, -2, v, -4 in decreasing order. 45, -2, -4, v Suppose -4*i = -4*g, -2*i = 1 + 1. Let d = 1.33 + -1.4. Let p = 0.13 - d. Put p, g, 2/7 in ascending order. g, p, 2/7 Suppose m = 2*m - 4. Let o be (0/1)/3 - m. Sort o, 5, 1 in descending order. 5, 1, o Let c be 1/((4/6)/(-2)). Let o(f) = f**2 + 8*f + 2. Let v be o(-8). Let n be 11/v + 2/(-4). Sort c, n, -4 in increasing order. -4, c, n Let k(q) = -5*q - 5 + 0*q**2 + 5*q**2 + 0*q - 6*q**2. Let j be k(-4). Put -3, -1/3, j in descending order. -1/3, j, -3 Suppose w - 2 = -6. Let y be 2/8 - 2/w. Sort 3, y, -4/9 in descending order. 3, y, -4/9 Let k be (1 - 1)/((-8)/(-4)). Let b be (k - -1)/(6/24). Put 1/3, 1, b in ascending order. 1/3, 1, b Suppose v - t = -4*v - 23, -12 = 2*v + t. Put 1, 13, v in increasing order. v, 1, 13 Let q be ((-1)/(-18))/((-2)/4). Let n be 46 - 47 - (-5)/1. Sort -2, n, q in descending order. n, q, -2 Let c = -88 + 80.8. Let l = -7 - c. Sort 3/2, -3, l in increasing order. -3, l, 3/2 Let y be ((-48)/21 - -2)*-7. Sort -5, y, -4 in increasing order. -5, -4, y Let j = -4 + 7. Sort -2/33, j, 1. -2/33, 1, j Let c = 1 + -1. Suppose c = -2*y + 6*y. Put -2, y, -0.1 in descending order. y, -0.1, -2 Let h = 21 + -20. Put h, 2, -3 in decreasing order. 2, h, -3 Let u = -31 - -31.23. Let c = u - 0.13. Sort 6, -4, c in descending order. 6, c, -4 Let u(a) = -2*a + 2. Let o be u(-8). Let l be (o/(-12))/(6/(-8)). Put -1, 1, l in decreasing order. l, 1, -1 Let q be (-1 - 0)/(7/14). Sort -12, 3, q in decreasing order. 3, q, -12 Let a(x) = x**3 + x**2 + 1. Suppose 4 = 2*f - 4*f. Let d be a(f). Sort d, 5, 2 in increasing order. d, 2, 5 Suppose 3*v + 7 = -z + 3*z, 0 = 5*z + 2*v - 8. Suppose -4 = 2*u + 2. Sort z, -4, u in decreasing order. z, u, -4 Let g(p) = p**2 + 7*p + 6 - 2 - 3. Let t be g(-7). Put 4, 0, t in decreasing order. 4, t, 0 Suppose -3*d = d. Let m(f) = 2*f**3 - 4*f**2 + 2*f. Let q be m(2). Put q, -4, d in ascending order. -4, d, q Let k = 33 - 37. Put k, 0.3, 5 in
{ "pile_set_name": "DM Mathematics" }
3*o + f*o**4 wrt o. 12*o**2 Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l. 4*l**3 Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f. -12*f Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r) + 7*o(r). Find the first derivative of s(m) wrt m. 28*m Let h(p) = p**4 + p**3 - 1. Let f(n) = 28*n**4 + 9*n**3 - n - 11. Let i(d) = -2*f(d) + 18*h(d). Find the second derivative of i(k) wrt k. -456*k**2 Let j = -1 + 3. Let p be -3*(j - (-1 + 4)). What is the first derivative of 0 - 3 + 4 + p*c wrt c? 3 Let z(t) = 7*t**4 + 6*t**3 - 4*t**2 - 6*t. Let v(a) = a**3 - a**2 - a. Let q(f) = 6*v(f) - z(f). What is the third derivative of q(i) wrt i? -168*i What is the third derivative of 39*k**6 - 54*k**6 + 33*k**6 + 6*k**2 + 6*k**2 wrt k? 2160*k**3 Let k(l) be the first derivative of l**2 + l - 5 + l**2 + 0 + 0. Find the first derivative of k(b) wrt b. 4 Let g(x) be the third derivative of x**6/3 - 37*x**4/24 - 16*x**2. Find the second derivative of g(a) wrt a. 240*a Let w be (0 - 0)/(5/(-5)). What is the second derivative of -t**2 + w*t + 3*t - 5*t wrt t? -2 Let y(i) be the second derivative of -6*i**5/5 + 7*i**2 + 24*i. Differentiate y(g) wrt g. -72*g**2 Let g(b) be the second derivative of -b**10/2520 - b**6/360 + b**3/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q. -240*q**3 Let h(f) = f + 8. Suppose -2*d - 9 = 3. Let z be h(d). What is the third derivative of z - x**3 - 2*x**2 - 2 wrt x? -6 Let x(o) = o**2 - o - 2. Let n be x(-1). Find the third derivative of 4*w**4 - 27*w**2 + 29*w**2 + n*w**4 wrt w. 96*w Let r(x) = -2*x - 2. Let k be r(-5). Let m be (k - 1)*(-6)/(-21). Differentiate 6*w**2 + 1 - 6*w**m - 4*w**4 wrt w. -16*w**3 Let f(a) be the second derivative of 0*a**5 - 1/14*a**7 - 1/6*a**3 + 0*a**4 + 0*a**6 + 0*a**2 + 4*a + 0. Find the second derivative of f(p) wrt p. -60*p**3 Suppose 3*g = 6*g. Let s(i) be the second derivative of 0 + g*i**4 - 1/30*i**6 + 0*i**5 + 0*i**3 + 2*i - i**2. What is the derivative of s(a) wrt a? -4*a**3 Let i(y) be the second derivative of 0 - 2*y + 1/10*y**5 + 0*y**3 + 0*y**2 + 1/3*y**4. Find the third derivative of i(t) wrt t. 12 Let q(x) = x**2 + x. Let k(h) = -6*h**2 - 3 - h + 0*h**2 - 1 + 3*h**2. Let j(m) = -2*k(m) - 2*q(m). Find the first derivative of j(c) wrt c. 8*c Suppose 0 = 6*v - 3*v - 54. Find the first derivative of -13 - 5*d**3 - 5*d**3 + v + 3*d**3 wrt d. -21*d**2 Let v(i) be the first derivative of -i**7/70 + i**5/30 - i**2 - 1. Let t(r) be the second derivative of v(r). What is the third derivative of t(d) wrt d? -72*d Suppose 5*d = 4*u + u + 25, 0 = 4*u + 8. Suppose -3*o = -6 - d. What is the first derivative of -2*z**o + 4 - 3 + 4*z**3 wrt z? 6*z**2 Let d(y) be the second derivative of 0*y**3 - 6*y + 0*y**2 - 1/2*y**4 + 0 + 1/10*y**5. Find the third derivative of d(a) wrt a. 12 Let q(v) be the third derivative of 1/15*v**5 + 4*v**2 + 0*v + 1/24*v**4 + 0*v**3 + 0. Find the second derivative of q(x) wrt x. 8 Let m(h) be the first derivative of -3*h**4/4 + 21*h**2/2 + 3. Find the second derivative of m(c) wrt c. -18*c Let k(z) be the second derivative of z + 0*z**5 + 2/3*z**4 + 0*z**3 + 0 + 7/30*z**6 + 0*z**2. What is the third derivative of k(b) wrt b? 168*b Suppose -22 = -h - 3*c - c, -8 = h - 2*c. Let v(g) be the third derivative of 0 - 1/6*g**3 + 0*g + 1/8*g**4 + 3*g**h. Differentiate v(m) with respect to m. 3 Let y(a) be the first derivative of -a**5 - 8*a**3/3 + 4. What is the third derivative of y(p) wrt p? -120*p Let p(i) be the first derivative of 0*i + 0*i**3 - i**4 + 3/2*i**2 - 4. What is the second derivative of p(f) wrt f? -24*f Find the third derivative of 3*z**2 - 5*z + 5*z - 21*z**6 + z**2 wrt z. -2520*z**3 Let x(j) be the first derivative of 35*j**4/4 - 41*j**2/2 - 1. What is the second derivative of x(p) wrt p? 210*p Let d(r) = -r - 2. Let k be d(-6). What is the second derivative of k*g**4 + 2*g - 12*g**4 + g wrt g? -96*g**2 Find the third derivative of -100*l**2 + 92*l**2 + 6*l**4 + 25*l**4 wrt l. 744*l Let c(g) be the first derivative of g**6/10 - g**4/4 + 4*g + 4. Let h(w) be the first derivative of c(w). What is the third derivative of h(l) wrt l? 72*l Let y(c) be the third derivative of c**5/4 - 17*c**3/6 - 38*c**2. What is the first derivative of y(h) wrt h? 30*h Let w(n) = -5*n**3. Let m be w(-1). Suppose 0 = -4*f - 5*p + 40, -m*f + 12 = -f - 2*p. What is the derivative of 2 + f*i - 4*i + 0*i wrt i? 1 What is the third derivative of 22*y**2 - 24*y**2 - 9*y**5 + 0*y**5 wrt y? -540*y**2 Let u = 11 - 11. Suppose 4*f + 0 = -3*z + 2, u = 2*z + 4*f. Find the second derivative of 2*o**z - 2*o**2 + 2*o**2 - 2*o + 0*o wrt o. 4 What is the third derivative of -9*k**5 + 3*k**2 - 19*k**5 + 0*k**2 wrt k? -1680*k**2 Let c(f) be the second derivative of f**9/5040 + f**5/24 - f**4/2 + 7*f. Let g(x) be the third derivative of c(x). Find the first derivative of g(s) wrt s. 12*s**3 Let r = 1 + 1. Find the second derivative of 0*l**r + 2*l - 5*l**2 + l**3 + 5*l**2 wrt l. 6*l Let j(g) = -10*g**3 - 6. Let t = 51 + -34. Let s(r) = -3*r**3 - 2. Let x(p) = t*s(p) - 6*j(p). Find the first derivative of x(f) wrt f. 27*f**2 Find the second derivative of -1 - 2*s**3 + 3 - 8*s - 13*s + 2*s**4 + 79*s wrt s. 24*s**2 - 12*s Let j(p) be the second derivative of 1/3*p**3 + 3/2*p**2 + 3*p + 0. Differentiate j(n) wrt n. 2 Let h(v) = -5*v**2 - 3*v. Let p(s) = -s**2 + s. Let n(z) = -3*h(z) + 6*p(z). Find the second derivative of n(i) wrt i. 18 Suppose -5*o + 2 = 32. Let m(u) = -5*u**3 + u**2 + 6. Let r(c) = 15*c**3 - 3*c**2 - 17. Let x(a) = o*r(a) - 17*m(a). What is the third derivative of x(d) wrt d? -30 Let a = 3 - 2. Let p(u) = 4*u**2 + 4*u - 4. Let y(t) = -t. Let c(j) = -j + 1. Let h be c(-3). Let q(d) = a*p(d) + h*y(d). What is the derivative of q(s) wrt s? 8*s Let f(c) be the second derivative of -3/56*c**8 + 0*c**5 + 0*c**2 - 4*c + 0*c**7 + 0 + 1/6*c**4 + 0*c**3 + 0*c**6. Find the third derivative of f(p) wrt p. -360*p**3 Find the second derivative of 24*y + 3*y**2 - 3*y**2 - 9*y - 26*y**4 wrt y. -312*y**2 What is the second derivative of 4*s**2 - 3*s + 8*s**2 - 4*s - 9*s**2 wrt s? 6 Suppose -5*g = -3*z, -5*g - 5*z + 27 + 13 = 0. Let o be (-10)/(3*(-2)/g). What is the derivative of b - b + o - 4 + 3*b**2 wrt b? 6*b Suppose -5*c + 2*l = l - 19, -14 = -3*c - 2*l. Let x be (c + -5)/((-1)/2). Differentiate 4 - x*m**2 + m**2 - 3 with respect to m. -2*m Let b be (3/3 - 1) + 2. Let l be 24/6*b/4. Find the third derivative of 12*t + t**l - 12*t - t**4 wrt t. -24*t Suppose -9 = -3*b + 9. Suppose -b*o = -2*o - 16. What is the second derivative of -o*f**2 + 4*f + f**2 + 7*f**2 - 2*f**2 wrt f? 4 Let p(f) be the third derivative of f**8/56 + f**4/6 + 6*f**2. Find the second derivative of p(q) wrt q. 120*q**3 Let a(u) be the third derivative of u**4/24 - u**3/6 - 5*u**2. What is the derivative of a(p) wrt p? 1 Let x(y) = 2*y**3 + 6*y**2 - 6*y - 7. Let t(z) = -z**2 + z. Let i(c) = 6*t(c) + x(c). Find the first derivative of i(f) wrt f. 6*f**2 What is the second derivative of -181 + 12*o + 9*o**2 + 181 wrt o? 18 Let g(n) be the second derivative of 5*n**4/2 - 5*n**3/2 + 8*n. What is the second derivative of g(v) wrt v? 60 Let v(m) be the second derivative of m**7/280 + m**6/120 + m**3/3 - 3*m. Let y(a) be the second derivative of v(a). Find the third derivative of y(l) wrt l. 18 Suppose -4 - 4 = -2*f. Find the second derivative of 2*k - 15*k**f - 9*k + 22*k**4 wrt k. 84*k**2 Suppose -3*n + 7 = -8. Find the second derivative of y**4 + 2*y + 0*y + n*y - 5*y**4 wrt y. -48*y**2 Let k(q) = -47*q**4 + 8*q**3 + 37*q**2 - 8*q. Let t(h) = 31*h**4 - 5*h**3 - 25*h**2 + 5*h. Let d(a) = -5*k(a) - 8*t(a). Find the third derivative of d(y) wrt y. -312*y Let s(q) be the third derivative of q**8/280 + q**5/30 - q**3/3 - 5*q**2. Let v(m) be the first derivative of s(m). What is the second derivative of v(c) wrt c? 72*c**2 Let h(t) be the third derivative of 0*t**6 + 0 + 0*t + 0*t**3 + 1/6*t**4 + 0*t**5 + 2/105*t**7 - 3*t**2. What is the second derivative of h(p) wrt p? 48*p**2 Find the third derivative of -4*h**2 - h**2 + 9*h**4 + 2*h**2 wrt h. 216*h Let j(k) be the thir
{ "pile_set_name": "DM Mathematics" }
i - 6*i + 3*i as d*i + j and give d. 11 Express (-m**3 - 4*m**3 + 3*m**3)*(m - 3*m + m)*(5 - 37 + 2 + (-3 - 3 + 4)*(-2 + 3 - 3)) as t*m + f*m**2 + l*m**4 + z + h*m**3 and give l. -52 Rearrange 3 - 1 - 9*x - 2 to the form z + w*x and give w. -9 Express (-k + 4*k - k)*(3*k - k - k) - k + 49 - 25 - 27*k**2 - 25 as o + p*k**2 + b*k and give b. -1 Rearrange 0*x + 11*x - x to r*x + c and give r. 10 Express 130*c**2 - 2204*c + 2204*c in the form b*c**2 + p + x*c and give b. 130 Express -4 - 2*l**2 - 7 + 8 + 3*l + 12 as v*l**2 + n + c*l and give c. 3 Express (3*p - 10*p - p)*(-4*p**3 + p**3 + 2*p**3) as x*p**3 + a*p**2 + s*p**4 + d*p + v and give s. 8 Rearrange (3*r - 6*r + 2*r)*(6 - 20 - 13) to the form z*r + k and give z. 27 Express 3*l**2 - l**2 + l**2 + (3*l - 2*l + l)*(-2*l - l + 4*l) - l**2 - 3*l + 3*l + (0*l + l**2 + 0*l)*(2 + 1 - 4) in the form z + y*l**2 + m*l and give y. 3 Rearrange (-1 - 1091*x - x**2 + 3 + 1089*x)*(2*x**2 + 1 - 1) to g*x**4 + s*x**2 + d*x + h + a*x**3 and give a. -4 Rearrange -442*i - 3*i**4 + 440*i - 2 - 2*i**3 + i**3 to the form l*i**3 + x*i**4 + y*i**2 + j + s*i and give j. -2 Rearrange -6*r**3 + 3*r**2 + 2 - r**4 + 4*r**3 + 2*r**4 - r to a*r**4 + t + s*r**3 + v*r + o*r**2 and give o. 3 Express 2 - 3*t**4 - t**3 + 2*t**4 - 3 as z*t + h*t**3 + k + c*t**2 + s*t**4 and give s. -1 Rearrange -307 + 20*t + 307 to the form w + l*t and give l. 20 Rearrange (-3 - 21 + 6)*(-4 - 1 + 4)*(-5*n + 3*n + n) to the form p + y*n and give y. -18 Express 0 + 0 + p**3 + (-2*p - 2*p + 2*p)*(-4*p**2 - p**2 + 4*p**2) + 2 - 4*p**3 - 2 - 14*p + 14*p - 4*p**3 in the form t + n*p**2 + w*p + u*p**3 and give u. -5 Rearrange 3 - 3*h**2 - 3 - 3 - h**2 to the form l*h**2 + x + v*h and give l. -4 Express -17*v + 5 + 33*v + 2 - 12*v in the form h + a*v and give a. 4 Express (141*w**2 - 137*w**2 - 2 - 3)*(12 + 0 - 9) in the form o + j*w + u*w**2 and give u. 12 Rearrange -2*s**4 + s**3 - 4*s**4 + 2*s**4 + 4 + 2*s**4 to j*s**4 + f*s**2 + c*s + r + t*s**3 and give j. -2 Express 17*m**3 - 7*m**3 - 2*m**2 - 6*m**3 - 2 in the form d*m**2 + g + i*m + l*m**3 and give d. -2 Rearrange 9*b - 656 + 656 to the form o + s*b and give s. 9 Express 0*g**3 - g - 11 - 1 - 2*g**2 + 3*g**2 - 2*g**3 as v*g**3 + b*g + i*g**2 + u and give i. 1 Express -7*a + 3*a + 8*a + 12*a as q*a + k and give q. 16 Express -f**4 - 18*f**3 - 1 - 2*f - 4*f**2 + f**2 + 18*f**3 as i*f**2 + q + o*f**3 + l*f + t*f**4 and give l. -2 Express -5*k**2 + 4*k**2 - k**3 + 2*k**2 - 2*k**4 as o*k**4 + f*k + m*k**2 + b*k**3 + u and give m. 1 Rearrange (1 + 5 - 1)*(-2 + 0 + 1)*(1 + 4 + 1)*(1 + 2 - 2)*(3 - 3 - i**2) to y*i + j + l*i**2 and give l. 30 Rearrange 24*n - 2 - 22*n + 4 - 5*n**3 to m*n**2 + y + b*n**3 + f*n and give y. 2 Express v + 3*v - 2*v + (0*v + 2*v - 3*v)*(35 + 30 - 16) as p + c*v and give c. -47 Express d - d + d**3 + (-d + d + 2*d**3)*(-15 - 4 + 3) as b*d + i + z*d**2 + q*d**3 and give q. -31 Rearrange 0*y - 13*y + y to s*y + f and give s. -12 Express -47*q**2 - 75 + 75 in the form b + s*q + o*q**2 and give s. 0 Express -13*s**2 + 9*s**2 - 98*s**2 - 2*s**2 in the form m*s**2 + c*s + j and give c. 0 Rearrange i**4 + 0*i - i**3 + 2*i**3 - 3*i**3 + 2*i**2 - i to s*i**2 + c*i + b*i**3 + f*i**4 + z and give c. -1 Rearrange (-2*a - 3*a**2 + 5*a**2 - a**2)*(-38*a + 38*a + 10*a**2 + (-4*a + 0*a + 3*a)*(0 + 0 - a)) to the form s*a**4 + x*a**3 + i*a**2 + v*a + h and give s. 11 Rearrange 38*y - 1 - 38*y + 4*y**2 + (-y - 3*y + 2*y)*(-y + 6*y - 3*y) + 3*y**2 - 4*y + 4*y to the form s + c*y + o*y**2 and give s. -1 Express (2 + 2*b - 2)*(0*b**3 + 0*b**3 + b**3) + (27 + 10 - 3)*(-b**4 - b**4 + b**4) as x*b + w + c*b**3 + z*b**2 + t*b**4 and give t. -32 Express (-2 + 2 - 5*b)*(11*b**3 + 17*b - 17*b) as y*b + h*b**3 + x + i*b**4 + j*b**2 and give i. -55 Rearrange 3 - 4*j**4 + j**3 + 2 + j - 3*j**4 - 4 to z*j**3 + x*j**2 + s*j**4 + t + m*j and give z. 1 Rearrange -5*u - 3*u**3 - 19*u**2 + 13*u**2 + 8*u**2 + 0 + 2 to x*u**3 + i*u + g + a*u**2 and give i. -5 Rearrange -16*a**2 + 6 + 8*a**2 - 1 - 2*a**4 + 3*a**2 to j*a**4 + d*a + u + s*a**2 + m*a**3 and give u. 5 Express 2644 - 2644 + 7*f**2 + f + 2*f in the form c + a*f**2 + r*f and give a. 7 Express -59*d - 56*d + 52*d - 54*d as u + q*d and give q. -117 Express (8 - 2 - 2)*(-3 - 4 + 1)*(j**2 + 4*j**2 - 4*j**2) as n + v*j**2 + a*j and give v. -24 Express -4*y**2 - y**3 + 20*y - 43*y + 22*y as r + i*y**2 + j*y**3 + f*y and give f. -1 Rearrange 5*c - 5*c + 0*c + 2*c - c**2 + c**4 - 7*c**3 to n*c**2 + u*c**4 + o*c + d*c**3 + a and give d. -7 Express (1 + 1 - 4)*(4 - 6 + 1)*(5 - 5 - 3*k + (-k + 0*k + 0*k)*(3 + 1 - 2) + 0 - 2*k + 0) in the form s + u*k and give u. -14 Rearrange 47*z + 4*z**2 - 1 - 47*z + 0 to q*z + f + x*z**2 and give q. 0 Rearrange 2*m**3 + 3*m**4 + m**4 - 4*m**3 + 1 - 5*m**4 to the form u*m**2 + i*m**4 + o*m + l + b*m**3 and give i. -1 Rearrange -8*l**3 - l**4 + 0*l**3 - 7*l**2 + 6*l**3 to the form m*l + y*l**3 + w*l**2 + z*l**4 + u and give w. -7 Express (43 + 7*m - 43)*(-4*m**2 + 6*m**2 + 0*m**2) in the form h*m**3 + x*m**2 + w + q*m and give h. 14 Rearrange (-r + 4*r - 5*r)*(5*r**2 - 5*r**2 + 5*r**3) + 2*r**3 - 2*r**3 + 2*r**4 to f*r**2 + b + y*r**4 + t*r**3 + k*r and give y. -8 Express -10*p**2 + 5*p**3 - 2*p**3 + 25*p**2 - p**3 in the form d*p + g*p**3 + h + r*p**2 and give r. 15 Rearrange -7 + 3 - 43*a + 5 - 2 to h + t*a and give h. -1 Rearrange (3 + 1 + 25)*(-5 + 3 + n + 0) to f + q*n and give q. 29 Express -y - y**2 + 0*y**2 + 0*y**2 + 6*y**2 in the form t*y**2 + c*y + o and give t. 5 Express (2 - 3 + 2)*(a**4 - 3*a**4 + 4*a**4) - 16*a**4 + 0*a**4 + 3*a**4 - 5*a**4 + 4*a**4 + 0*a**4 as o + j*a**3 + k*a + s*a**4 + h*a**2 and give s. -12 Express 4 - 4 - 8*b in the form r + o*b and give o. -8 Rearrange -7*x - 2*x**4 - x**4 - 3 + x**4 + 4*x**4 to the form o*x**3 + p*x + z*x**4 + c*x**2 + w and give p. -7 Rearrange -14*u + 11*u - 2*u - 1 to the form g + c*u and give g. -1 Express (29 + 27 + 13)*(-j - j + 3*j) in the form y + r*j and give r. 69 Rearrange ((-6*z + 3*z - 4*z)*(2 - 1 - 3) - z - 3*z + 5*z + 4*z - 3*z - 2*z)*(3*z**2 - z**2 + z - z**2) to the form m*z**2 + f*z**3 + l + h*z and give m. 14 Express (4*q**2 - q**2 - 4*q**2)*(-4*q + 4*q + q) + (4*q + 2*q**2 - 4*q)*(-1 + 1 - 2*q) - 4*q + 4*q - 3*q**3 in the form l*q + f + n*q**3 + i*q**2 and give n. -8 Express -11 + 11 + 6*n - n**2 as b + q*n**2 + f*n and give q. -1 Express -1 + 2*r**2 + 6 - r**2 as j*r + v + i*r**2 and give v. 5 Rearrange -3 - 2 + 0*w + 0*w + 7*w + 2*w**3 to the form i + v*w + l*w**2 + m*w**3 and give v. 7 Rearrange -1 - 25*a**3 + 201*a**2 + 0 - 199*a**2 to d*a + y + z*a**3 + j*a**2 and give y. -1 Rearrange (m + 0*m - 4*m)*(1 - 3 + 6) to the form n + o*m and give o. -12 Rearrange 0*x**3 + 0*x**2 + x**2 - 4*x**2 - 2 + 3*x**3 to the form k*x + q*x**2 + c*x**3 + v and give c. 3 Express 231 - 229 - n + n**2 - n**3 + n**2 + 2*n**4 in the form t*n**3 + s + u*n + b*n**4 + v*n**2 and give t. -1 Express (h + h - h)*((67*h - 119*h + 0*h)*(0 + 0 - 1) + (-4*h - h + 6*h)*(1 - 1 + 2)) + (2 - 2 + h)*(-h - h + 3*h) as x*h**2 + w*h + y and give x. 55 Express 57*p**2 - 2 + 49*p**2 - 2*p - 90*p**2 as d*p + l*p**2 + k and give k. -2 Rearrange (4 - 1 - 1)*(-3*v**2 + 3*v**2 - v**2)*(-4 + 4 - 13*v) to a*v**3 + s + b*v**2 + j*v and give b. 0 Express (1 + 0 + 0)*(-1051 + 1051 + 149*q) in the form j*q + l and give j. 149 Rearrange r**3 - 100*r + 12*r**2 - 38*r**2 + 102*r to h*r + j*r**3 + i*r**2 + m and give h. 2 Rearrange -w - 14*w - 13*w to the form y + g*w and give g. -28 Rearrange -21*s - 12*s + 2*s to l*s + i and give l. -31 Rearrange 37*g**2 + 3 - 78*g**2 + 42*g**2 to the form c*g + t*g**2 + q and give q. 3 Rearrange 45*f**2 - 10*f**2 - 17*f**2 to the form x*f + z*f**2 + b and give z. 18 Express a**4 + a**4 + 3*a - a**3 - 1 + 2*a - 4*a as m*a**2 + d*a**3 + y + k*a + c*a**4 and give k. 1 Rearrange -12*o + 38*o + 11*o to the form c*o + h and give c. 37 Express 2*b + 0*b**2 - 8*b - b**2 + 2 + (0*b - b + 2*b)*(-3*b - 4*b + 5*b) - 2*b - 2*b**2 + 2*b in the form s + y*b**2 + r*b and give r. -6 Express 2*o**2 - 3 + o**2 + 8 in the form q*o**2 + t + p*o and give t. 5 Rearrange (0 + 0 + 26*l)*(-5 + 1 + 5) to j*l + i and give j. 26 Rearrange 9*j**2 + 0*j**2 - 6*j**2 + (3 - 3 - 2*j)*(3 - 3 - j) + (0*
{ "pile_set_name": "DM Mathematics" }
Does 96 divide 18055? False Is 12826 a multiple of 22? True Is 9440 a multiple of 118? True Is 37488 a multiple of 88? True Is 94 a factor of 40455? False Is 7 a factor of 910? True Is 1847 a multiple of 43? False Does 58 divide 9942? False Is 101 a factor of 7070? True Is 97981 a multiple of 21? False Is 18 a factor of 1530? True Is 8 a factor of 1897? False Is 57 a multiple of 7? False Does 20 divide 3300? True Is 113 a multiple of 3? False Does 13 divide 377? True Does 18 divide 14004? True Is 153 a factor of 10471? False Is 3308 a multiple of 30? False Is 73 a factor of 910? False Is 6618 a multiple of 67? False Is 3458 a multiple of 19? True Is 16 a factor of 3125? False Does 99 divide 10981? False Does 268 divide 20904? True Is 15 a factor of 3881? False Is 14923 a multiple of 2? False Is 12 a factor of 10716? True Is 8 a factor of 160? True Does 88 divide 30448? True Is 19 a factor of 155? False Does 30 divide 9810? True Is 13 a factor of 20626? False Does 4 divide 28? True Does 8 divide 2344? True Is 4389 a multiple of 32? False Does 85 divide 874? False Is 33 a factor of 12610? False Is 78 a factor of 195780? True Is 5632 a multiple of 8? True Is 4 a factor of 296? True Is 38685 a multiple of 21? False Does 3 divide 4257? True Does 7 divide 18? False Is 190 a multiple of 38? True Is 72 a factor of 72? True Is 236 a factor of 8024? True Is 46 a factor of 1393? False Is 1950 a multiple of 15? True Does 2 divide 1224? True Does 20 divide 3588? False Is 10980 a multiple of 180? True Is 14 a factor of 1100? False Is 23 a factor of 6100? False Does 59 divide 16242? False Is 17 a factor of 18768? True Does 5 divide 50? True Does 123 divide 9963? True Does 82 divide 3116? True Does 19 divide 4541? True Is 52 a factor of 12116? True Is 44 a factor of 4585? False Does 9 divide 3942? True Does 15 divide 7032? False Is 4590 a multiple of 85? True Is 6365 a multiple of 11? False Is 62 a factor of 133? False Does 48 divide 1440? True Does 18 divide 540? True Does 42 divide 5250? True Does 199 divide 12243? False Is 23232 a multiple of 88? True Is 52 a factor of 53875? False Is 3580 a multiple of 20? True Is 706 a multiple of 8? False Is 39 a factor of 98? False Is 23 a factor of 89884? True Is 108 a factor of 6696? True Is 329 a multiple of 10? False Does 46 divide 49128? True Is 22 a factor of 4686? True Does 45 divide 1480? False Is 7 a factor of 841? False Is 86 a factor of 170? False Does 5 divide 53565? True Is 19 a factor of 1900? True Is 108 a factor of 6264? True Does 129 divide 5934? True Does 3 divide 207? True Is 5 a factor of 5? True Is 2 a factor of 3194? True Is 63 a factor of 34571? False Is 12768 a multiple of 24? True Does 27 divide 14916? False Does 8 divide 400? True Is 24621 a multiple of 11? False Does 25 divide 1766? False Is 22 a factor of 605? False Is 62 a factor of 1143? False Is 22 a factor of 8963? False Is 28 a factor of 50064? True Is 3036 a multiple of 66? True Is 35280 a multiple of 84? True Does 15 divide 1380? True Does 48 divide 798? False Does 250 divide 71750? True Does 93 divide 2343? False Does 175 divide 35007? False Is 21 a factor of 4320? False Does 40 divide 5440? True Does 9 divide 135? True Is 3153 a multiple of 5? False Does 12 divide 60? True Is 30 a factor of 5217? False Is 36 a factor of 468? True Is 10 a factor of 71400? True Is 14 a factor of 154? True Is 66652 a multiple of 22? False Is 12 a factor of 434? False Does 14 divide 15708? True Is 43520 a multiple of 80? True Is 2 a factor of 96? True Is 5151 a multiple of 17? True Is 7 a factor of 496? False Is 20118 a multiple of 153? False Is 29 a factor of 310? False Is 1080 a multiple of 12? True Is 2242 a multiple of 59? True Is 56 a factor of 7480? False Is 40 a factor of 3775? False Is 22 a factor of 2222? True Is 460 a multiple of 10? True Is 20 a factor of 12647? False Is 123 a multiple of 2? False Does 12 divide 111917? False Does 9 divide 297? True Does 37 divide 25715? True Is 34 a factor of 15470? True Is 30 a factor of 4336? False Is 47 a factor of 1272? False Is 53 a factor of 1072? False Does 91 divide 32725? False Is 9 a factor of 31261? False Is 937 a multiple of 11? False Does 13 divide 520? True Is 23 a factor of 30? False Is 830 a multiple of 24? False Does 3 divide 288? True Is 120 a multiple of 12? True Is 8 a factor of 280? True Is 97 a multiple of 17? False Does 10 divide 2459? False Does 13 divide 99? False Is 46845 a multiple of 27? True Does 30 divide 1433? False Is 392 a multiple of 14? True Does 33 divide 4983? True Does 4 divide 300? True Does 46 divide 283? False Is 22236 a multiple of 102? True Does 15 divide 630? True Is 13160 a multiple of 188? True Is 1832 a multiple of 24? False Does 9 divide 2907? True Is 49 a factor of 12248? False Is 16 a factor of 1085? False Does 12 divide 1536? True Is 29 a factor of 22649? True Is 96 a factor of 24960? True Is 2345 a multiple of 67? True Does 3 divide 5826? True Is 528 a multiple of 6? True Is 5 a factor of 1491? False Is 13194 a multiple of 14? False Is 488 a multiple of 61? True Is 3 a factor of 102? True Is 3166 a multiple of 72? False Does 196 divide 36652? True Does 15 divide 555? True Does 116 divide 4591? False Is 1547 a multiple of 13? True Does 38 divide 30476? True Is 966 a multiple of 42? True Is 16 a factor of 341? False Is 263 a multiple of 8? False Is 841 a multiple of 29? True Is 54 a factor of 378? True Is 8873 a multiple of 51? False Is 1836 a multiple of 12? True Is 81 a factor of 45201? False Is 2 a factor of 4665? False Is 13 a factor of 19? False Is 975 a multiple of 12? False Is 92 a factor of 39895? False Does 17 divide 204? True Is 28 a factor of 5180? True Is 150 a factor of 23850? True Is 21 a factor of 588? True Does 10 divide 16769? False Is 3670 a multiple of 5? True Is 99572 a multiple of 44? True Is 1931 a multiple of 33? False Does 51 divide 56320? False Is 8115 a multiple of 51? False Is 2574 a multiple of 33? True Does 56 divide 2520? True Is 2727 a multiple of 5? False Does 30 divide 360? True Does 117 divide 2223? True Does 24 divide 8400? True Is 2241 a multiple of 83? True Is 14210 a multiple of 104? False Is 19 a factor of 2092? False Does 31 divide 5766? True Is 11990 a multiple of 110? True Does 7 divide 33432? True Is 1326 a multiple of 17? True Is 5 a factor of 165? True Does 2 divide 1448? True Is 9 a factor of 594? True Is 10080 a multiple of 28? True Is 13604 a multiple of 94? False Is 921 a multiple of 5? False Does 75 divide 1500? True Is 24 a factor of 528? True Does 41 divide 35557? False Is 51 a factor of 18787? False Is 1066 a multiple of 37? False Does 60 divide 5035? False Is 19 a factor of 1273? True Does 118 divide 2008? False Is 27 a factor of 8694? True Is 288 a multiple of 13? False Does 11 divide 3047? True Does 15 divide 765? True Is 13 a factor of 75? False Is 66943 a multiple of 168? False Does 16 divide 3272? False Does 150 divide 13966? False Is 19 a factor of 2090? True Is 13224 a multiple of 58? True Is 12723 a multiple of 9? False Is 6 a factor of 1978? False Does 8 divide 525? False Is 59 a factor of 38468? True Is 2151 a multiple of 17? False Is 39 a factor of 1064? False Is 826 a multiple of 30? False Does 49 divide 2156? True Is 53 a factor of 111415? False Does 4 divide 184? True Is 26 a factor of 920? False Is 13 a factor of 36309? True Does 113 divide 82193? False Is 203 a factor of 22193? False Is 18 a factor of 242? False Does 10 divide 5370? True Is 1038 a multiple of 14? False Is 701 a multiple of 13? False Does 102 divide 67064? False Does 110 divide 16503? False Is 2 a factor of 54? True Does 44 divide 528? True Is 1768 a multiple of 15? False Is 4026 a multiple of 3? True Is 15 a factor of 1063? False Is 5158 a multiple of 8? False Is 87 a factor of 3045? True Is 4364 a multiple of 4? True Is 574 a multiple of 13? False Is 5 a factor of 1136? False Is 84 a multiple of 12? True Does 126 divide 33516? True Is 20 a factor of 1237? False Is 3444 a multiple of 123? True Does 90 divide 1350? True Is 27 a multiple of 2? False Does 70 divide 4223? False Is 64 a factor of 763? False Is 7742 a multiple of 14? True Is 10 a factor of 85? False Is 9735 a multiple of 33? True Is 524 a multiple of 12? Fal
{ "pile_set_name": "DM Mathematics" }
4? -132415 What is the next term in 456175, 455801, 455183, 454327, 453239, 451925, 450391? 448643 What comes next: -333918, -668551, -1003184, -1337817, -1672450? -2007083 What is the next term in -1426, -5238, -11590, -20482? -31914 What is the next term in -90743425, -90743424, -90743423, -90743422? -90743421 What comes next: -539582, -1078894, -1618206, -2157518, -2696830? -3236142 What is the next term in -7194461, -7194497, -7194533, -7194569, -7194605? -7194641 What is the next term in 965, 7621, 25693, 60905, 118981, 205645, 326621, 487633? 694405 What comes next: 760704, 760647, 760492, 760191, 759696? 758959 What is next in -1182, -5100, -11638, -20802, -32598, -47032, -64110, -83838? -106222 What is next in -11898540, -11898564, -11898588, -11898612? -11898636 What is next in 165213, 330291, 495369, 660447, 825525? 990603 What is next in -100794, -806562, -2722208, -6452670, -12602886, -21777794? -34582332 What is next in 20357, 41030, 61703, 82376? 103049 What is next in 45, 155, 317, 561, 917, 1415, 2085, 2957? 4061 What is next in 4624, 15642, 33042, 56824, 86988, 123534, 166462? 215772 What comes next: -9732114, -38928449, -87589006, -155713785? -243302786 What comes next: 317828, 1271326, 2860488, 5085314? 7945804 What is the next term in -2162, -5274, -8380, -11474, -14550, -17602? -20624 What comes next: -2466, -19258, -64696, -153102, -298798, -516106? -819348 What comes next: -3188717, -12754827, -28698345, -51019271? -79717605 What comes next: -765, 360, 2255, 4926, 8379, 12620? 17655 What is the next term in 3269, 3653, 4033, 4409, 4781, 5149, 5513? 5873 What is next in 3926761, 7853495, 11780229, 15706963, 19633697? 23560431 What comes next: 12095056, 12095056, 12095042, 12095008, 12094948? 12094856 What comes next: 731695, 1463398, 2195111, 2926840, 3658591? 4390370 What is the next term in 23831, 95932, 216117, 384398, 600787, 865296? 1177937 What is the next term in 4437, 8776, 13121, 17478, 21853, 26252? 30681 What comes next: 294, 1360, 4098, 9342, 17926, 30684, 48450, 72058? 102342 What is next in -1885399, -3770763, -5656127, -7541491? -9426855 What comes next: 342957, 342970, 342983? 342996 What is next in -3382, -16878, -30376, -43876, -57378, -70882, -84388? -97896 What comes next: 145, 318, 705, 1390, 2457? 3990 What comes next: 5135, 10205, 15355, 20585? 25895 What is the next term in 3296844, 6593684, 9890524, 13187364, 16484204? 19781044 What is next in 395576, 790682, 1185788? 1580894 What is the next term in -10489, -20790, -30855, -40642, -50109? -59214 What is next in 20712, 83166, 187256, 332982, 520344, 749342, 1019976? 1332246 What is the next term in -229881, -229819, -229757, -229695, -229633, -229571? -229509 What is next in -2570, -4733, -6738, -8585, -10274? -11805 What comes next: -51511, -47143, -42775? -38407 What is next in -4689058, -4689073, -4689106, -4689163, -4689250, -4689373, -4689538, -4689751? -4690018 What is next in 109460, 109088, 108466, 107594? 106472 What comes next: 116545, 115624, 114703, 113782, 112861, 111940? 111019 What comes next: -437328, -874393, -1311458, -1748523? -2185588 What is next in -624947, -624917, -624887, -624857? -624827 What comes next: -3036744, -12146972, -27330688, -48587892, -75918584? -109322764 What is next in 1180377, 1180293, 1180209, 1180125, 1180041? 1179957 What is next in -4535785, -9071567, -13607337, -18143089, -22678817, -27214515, -31750177? -36285797 What is the next term in 80583, 161207, 241851, 322521, 403223, 483963, 564747, 645581? 726471 What is the next term in 40366, 39367, 38368, 37369, 36370? 35371 What comes next: -442130, -442154, -442194, -442250, -442322, -442410? -442514 What is next in -159411484, -318822965, -478234446, -637645927? -797057408 What comes next: -555, -2262, -4759, -7752, -10947, -14050? -16767 What comes next: 9846793, 19693588, 29540383, 39387178, 49233973, 59080768? 68927563 What is next in 2621, 5530, 8709, 12158? 15877 What is next in 4577022, 4577005, 4576990, 4576977? 4576966 What is the next term in -781307, -781192, -781077, -780962, -780847, -780732? -780617 What is next in -718, -6060, -20638, -49066, -95958? -165928 What is next in -37586, -75147, -112708, -150269? -187830 What comes next: -4738, -4092, -3444, -2794, -2142, -1488, -832? -174 What is the next term in 1046, 4040, 8968, 15830, 24626? 35356 What comes next: 4867, 9017, 13151, 17269? 21371 What is the next term in -1605, -825, -45, 735? 1515 What comes next: -5446903, -10893764, -16340629, -21787498, -27234371? -32681248 What is next in 70873, 141702, 212485, 283198, 353817, 424318, 494677? 564870 What is next in -257785192, -515570386, -773355580, -1031140774? -1288925968 What is the next term in 33, 92, 59, -120, -499? -1132 What comes next: 521189, 2084817, 4690857, 8339303, 13030149, 18763389, 25539017, 33357027? 42217413 What is next in -8954, -19907, -30858, -41807, -52754, -63699? -74642 What is the next term in -50176, -100486, -150940, -201610, -252568, -303886, -355636, -407890? -460720 What is the next term in 1082, -4442, -13646, -26524, -43070, -63278? -87142 What is the next term in -854730, -854663, -854596, -854529, -854462? -854395 What is next in -42, 700, 2746, 6756, 13390? 23308 What is next in 81080, 168854, 256628, 344402? 432176 What comes next: -77465, -309687, -696731, -1238597, -1935285, -2786795, -3793127? -4954281 What is the next term in 3805, 2368, 931, -506? -1943 What is the next term in -144641, -144663, -144675, -144671, -144645, -144591? -144503 What is next in -18708, -19607, -22076, -26901, -34868, -46763, -63372, -85481? -113876 What is next in 70, -2, -156, -392, -710, -1110? -1592 What is the next term in 1599, 3030, 5357, 8580, 12699? 17714 What is the next term in -1977, -8295, -18943, -33921, -53229, -76867, -104835? -137133 What is the next term in -56137, -113041, -170717, -229159, -288361, -348317, -409021, -470467? -532649 What is next in -2508, 1300, 5110, 8922, 12736, 16552? 20370 What is next in -1725, -2344, -1855, -258, 2447? 6260 What comes next: -13616, -61159, -142636, -258047, -407392, -590671, -807884? -1059031 What is next in -109612, -109617, -109646, -109705, -109800? -109937 What is the next term in 166, 327, 640, 1195, 2082? 3391 What is the next term in -636701, -2546946, -5730733, -10188062, -15918933, -22923346? -31201301 What is the next term in -1336945, -2673886, -4010827? -5347768 What is next in -74399, -74439, -74479, -74519? -74559 What is next in -30521347, -30521345, -30521343, -30521341? -30521339 What is the next term in 2250927, 4501856, 6752789, 9003726? 11254667 What is next in 83183, 169564, 255945, 342326? 428707 What is the next term in -150, -378, -790, -1488, -2574, -4150, -6318? -9180 What is the next term in 1126, 181, -1388, -3575, -6374, -9779, -13784, -18383? -23570 What is the next term in -1314, -10393, -35022, -82971, -162010, -279909, -444438? -663367 What comes next: -5470, -5774, -6286, -7012, -7958, -9130, -10534? -12176 What is the next term in 97645, 390460, 878447, 1561606, 2439937, 3513440, 4782115? 6245962 What is the next term in 200, -1746, -4990, -9532? -15372 What is the next term in -49354830, -98709658, -148064486, -197419314? -246774142 What is next in 551242, 1102459, 1653654, 2204827, 2755978, 3307107? 3858214 What is next in 66811, 66168, 65523, 64876? 64227 What comes next: -5402, -20689, -45854, -80891, -125794? -180557 What comes next: -12595, -25336, -38077? -50818 What comes next: 2568, -5149, -12866, -20583, -28300, -36017? -43734 What comes next: -36301097, -36301098, -36301099, -36301100? -36301101 What comes next: -20810174, -41620419, -62430662, -83240903, -104051142, -124861379? -145671614 What comes next: 1047, 1053, 1097, 1215, 1443, 1817, 2373? 3147 What is next in 86445, 84019, 81593, 79167, 76741, 74315? 71889 What comes next: -567303916, -1134607832, -1701911748, -2269215664? -2836519580 What comes next: -6612, -5874, -5122, -4356? -3576 What comes next: -38041402, -38041403, -38041404? -38041405 What is next in -1673, -3130, -4585, -6038, -7489? -8938 What comes next: -30471315, -60942629, -91413943, -121885257? -152356571 What is the next term in 6530, 52250, 176294, 417806, 815930, 1409810? 2238590 W
{ "pile_set_name": "DM Mathematics" }
(833)) + 3 - ((sqrt(833) + 1)*-6 + sqrt(833) - sqrt(833))) + ((sqrt(833) + 0)*-6 - sqrt(833) - (-1 + sqrt(833))*3) + 5)**2. -952*sqrt(17) + 13617 Simplify sqrt(7)*3*1 + (sqrt(7) + 1)*-3 + (-5*(sqrt(448) + (sqrt(448)*-1 - sqrt(448))) - sqrt(448))**2 + 2. 7167 Simplify ((sqrt(704) + 3)*-3 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584) - 1*(0 + sqrt(1584)))))*-1)**2. 432*sqrt(11) + 6417 Simplify -6*(-2*-1*(sqrt(77) + (sqrt(77) - -1*sqrt(77))*-5 + sqrt(77) + sqrt(77)))/((3*sqrt(110)*-1)/((sqrt(70)*-2)/sqrt(7))). 56*sqrt(7) Simplify 0 + (sqrt(128)/sqrt(4))**2 + -3 + sqrt(72)*-1 - (6*(-3 + (sqrt(242)*1 - sqrt(242)) - (-4 + (sqrt(242) + 1 - sqrt(242)))))**2. -6*sqrt(2) + 29 Simplify (6*(sqrt(495) - (sqrt(495) + sqrt(495) + 6*(3*sqrt(495) + sqrt(495))))/(sqrt(35)/sqrt(7)*-6*3))**2. 6875 Simplify (((sqrt(19)*2 - sqrt(19) - sqrt(19))*4 - (sqrt(19) + sqrt(38)/sqrt(2))*4) + 5 - (sqrt(1216) + sqrt(1216) + -3 + 2 + -4))**2. -480*sqrt(19) + 11044 Simplify (4 + -1 + -6*2*(sqrt(304) - (-1 + -1 + sqrt(304) + sqrt(304)))*6 + 5)**2. -78336*sqrt(19) + 1594432 Simplify 3 + 2*sqrt(28)/sqrt(4) + -5 + ((sqrt(63) + sqrt(1575))*5 + 5)**2. 902*sqrt(7) + 56723 Simplify 0 + 2 + (sqrt(98) - (1*sqrt(98)*-1)**2 - (1 + ((sqrt(98) + 2 - sqrt(98)) + sqrt(98))**2)) + -3. -202 - 21*sqrt(2) Simplify ((3*(-5 + (2*(sqrt(1100) + 0) - (sqrt(1100) + -4*sqrt(1100)*-1))) + 4)*4)**2. 31680*sqrt(11) + 1427536 Simplify ((3 + (sqrt(245) - (1 + sqrt(245))) + 3)*1 - (1 + (1 + sqrt(245) - sqrt(245)))*6*-3)**2. 1681 Simplify (sqrt(576)*3*3*4)/((sqrt(1620)*-2)/(sqrt(1000) - (2*sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000)))). 960*sqrt(2) Simplify sqrt(425) + 2 + 0 + -3 + sqrt(425)*1 - (-4 + 2*sqrt(425) - (-1 + sqrt(425) - sqrt(425))*-3)**2. -1750 + 150*sqrt(17) Simplify -2*(sqrt(132) - (sqrt(132) - (sqrt(132) + (sqrt(132)*-3 - sqrt(132)))*-2))/(sqrt(396)*-3) + -4 + 4. 4*sqrt(3)/3 Simplify (6*sqrt(105)/(sqrt(49)/(sqrt(7)*-1)))/((sqrt(300) - (sqrt(300) + sqrt(300)*2 + sqrt(300) - sqrt(300)))*-4 - -2*1*sqrt(300)). -3*sqrt(5)/50 Simplify -1 + (2*sqrt(91)*-4 - sqrt(91)*1*5)/(sqrt(56)/sqrt(2) - ((sqrt(7) - sqrt(112)*3 - sqrt(7)) + sqrt(7)))*5. -5*sqrt(13) - 1 Simplify ((4*(sqrt(252) + -1) - (4 + sqrt(252) + 0))**2 - (2*sqrt(252) + 3 + sqrt(252) + sqrt(252) + -1 + sqrt(252) + -3)) + 0 + 1. -318*sqrt(7) + 2334 Simplify sqrt(13) + (-1 + sqrt(13))*5 - ((sqrt(91) - (sqrt(91) - 2*sqrt(91)))/sqrt(7))**2 - (sqrt(1053)*-3 + 2)*1. -59 + 33*sqrt(13) Simplify (-1 + (-1 + sqrt(68))**2 + 2*sqrt(68)*-2 - (5*sqrt(68)*2 - (4 + sqrt(68) + 1)))*-1. -73 + 30*sqrt(17) Simplify (-3*sqrt(1008)*2 - sqrt(1008)) + -4 + sqrt(1008) + (sqrt(1008) + 1)**2 - (-3 + 3*3*(-1 + sqrt(7))). -57*sqrt(7) + 1017 Simplify (-1 + 1 + 4*-2*(sqrt(343) - (sqrt(343) + (3*sqrt(343) - sqrt(343))) - sqrt(343)) + -1)**2 + 1. -336*sqrt(7) + 197570 Simplify 5*(((sqrt(16) + sqrt(144)*-4)*3)/(-1*sqrt(16)/(sqrt(12)/sqrt(6))) + 4)**2. 1320*sqrt(2) + 10970 Simplify (-1 + -2*-5*(-1 + (sqrt(700) + 6*(0 + sqrt(700) - sqrt(700)) - (sqrt(700) - (sqrt(700) + -5 + -2 + sqrt(700) + sqrt(700)))) + -4))**2. -72600*sqrt(7) + 644641 Simplify 2 + 6*(sqrt(325))**2*4 - 4*(-3*(sqrt(156) - (sqrt(156) - sqrt(156)*-2)))/sqrt(12). -24*sqrt(13) + 7802 Simplify 0 + ((1*sqrt(27)/sqrt(3) + sqrt(9))/(sqrt(18)/sqrt(96)) - ((-4 + sqrt(3) + -2 + sqrt(3))**2 + sqrt(3) + sqrt(432))). -48 + 19*sqrt(3) Simplify (sqrt(847) + -4 + -1)**2*5 + 4 - ((sqrt(847) - 3*sqrt(847))**2 + 3 + -2*(sqrt(847) - (sqrt(847)*-1)**2)). -528*sqrt(7) - 721 Simplify 1 + (((2*sqrt(363) + sqrt(363))*-5)**2 - (sqrt(363) + (-6*(sqrt(363) - 1*sqrt(363)))**2)) + (1 + sqrt(363))**2 + 3 + -2 + 0. 11*sqrt(3) + 82041 Simplify ((-6*sqrt(108)*-2)/(-1*sqrt(1452)))/(-1*sqrt(363)*-2 + sqrt(363) - sqrt(363)*-2*-4). 12*sqrt(3)/605 Simplify ((-1*((sqrt(132) - -1*sqrt(132)) + sqrt(132)) + sqrt(132) + (-3*(sqrt(132)*2 - sqrt(132)) - sqrt(132)))/(sqrt(72)/sqrt(6)*5 + 1*sqrt(12)*3))**2. 99/16 Simplify -4 + -2*((sqrt(539)*2)**2 + 0)*3*6 + 5. -77615 Simplify ((((-2 + sqrt(243))*-5 + sqrt(243) + 2 + -3)**2 - ((2 + sqrt(243) - sqrt(243))*5*1)**2) + 5)*-5. -19370 + 3240*sqrt(3) Simplify ((-4 + sqrt(1088))*-4*5)**2 - 6*(3 + sqrt(136)/(sqrt(8) + sqrt(512) + sqrt(8))). -128003*sqrt(17)/5 + 441582 Simplify 4*sqrt(1088) + 4*(-1 + sqrt(17)) - (-6*(sqrt(187)*1 + sqrt(187)) - sqrt(187))/(sqrt(539) + -2*sqrt(539)). -4 + 239*sqrt(17)/7 Simplify ((-6*sqrt(352)*-2 + (-5*sqrt(352)*2 - sqrt(352)))*2)/(-5*(sqrt(288) - (sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288))) + -2*sqrt(288)*1). sqrt(11)/12 Simplify (-6*(sqrt(187) + (6*sqrt(187) + sqrt(187) - sqrt(187)) + sqrt(187))*4)/(-1*(sqrt(539)*-2 + sqrt(11)))*-3. 576*sqrt(17)/13 Simplify (-6*1*(-1*(sqrt(90)*2 + sqrt(90) - sqrt(90)))/((-2*2*sqrt(10))/sqrt(5)) + 3)**2. -54*sqrt(5) + 414 Simplify 1*((sqrt(1088)*4*4)**2 + sqrt(612) + -5 + -1*sqrt(612) + sqrt(612)) + 3. 6*sqrt(17) + 278526 Simplify 5 + -3 + (1*-4*sqrt(500)*-2*1)**2 + -3 + -1. 31998 Simplify ((((sqrt(85)*3 - sqrt(85)) + sqrt(85))*-6 - sqrt(85))*-3)/(sqrt(10)/(sqrt(6)/(sqrt(3) + sqrt(30)/sqrt(10)))). 57*sqrt(17)/2 Simplify (-4 + 5*(-4 + 1*sqrt(539) + sqrt(539) + -1 + 2*sqrt(539) - (1 + (sqrt(539)*-2 + sqrt(539) - sqrt(539)) + 3)))**2. -20580*sqrt(11) + 487501 Simplify 5*(3 + (5*(sqrt(187) + sqrt(187)*1 + sqrt(187))*-5)/(sqrt(891) - ((sqrt(891) - (sqrt(891)*3 - sqrt(891)) - sqrt(891)) + sqrt(891))*-2)). 15 + 125*sqrt(17)/3 Simplify (-1 + -4 + -5 + (-1*sqrt(72) - sqrt(72) - sqrt(72)) + -5 + 5 + -1)**2*-2. -1538 - 792*sqrt(2) Simplify -1*(((sqrt(176)*-1 + sqrt(176))*4)/(sqrt(484) + sqrt(484) + sqrt(484) + -1*sqrt(484) + sqrt(484) + sqrt(484)) + 0). 0 Simplify 3 + (4 + -3*((sqrt(68) - 2*(sqrt(68) + 0 + sqrt(68))**2) + (sqrt(68)*1 + 3)**2 + -4))*-1. -1414 + 42*sqrt(17) Simplify -3*(-1 + (2*sqrt(147) - sqrt(147)) - (sqrt(147) - (sqrt(147) + 0 + -2)) - (-1*(-2 + (0 + sqrt(147) - sqrt(147)))*-3)**2). -21*sqrt(3) + 117 Simplify (1*((sqrt(847) - (sqrt(847) + -1))*-5 - (3 + sqrt(847) + 0 + sqrt(847))) + -1*sqrt(847)*6*1 + -3)**2. 1936*sqrt(7) + 54329 Simplify ((((-2*sqrt(80) + sqrt(80))*3)**2 - (sqrt(80) + sqrt(80) + sqrt(80)*1)**2*2) + -2 + 0)*-1. 722 Simplify ((6*-2*sqrt(209) + sqrt(209))*3)/((sqrt(121) + sqrt(121)*1)/sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3)))*1. -11*sqrt(19) Simplify 0 + (-2 + (sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + 1 + 4)))**2 - ((-4*sqrt(931))**2*-4 - ((2 + sqrt(931) - sqrt(931)) + -1)). 196*sqrt(19) + 63358 Simplify (-5*sqrt(64) + (sqrt(40)/sqrt(160) - sqrt(4)))/(-1*sqrt(200)*5 - ((sqrt(200) + 2*sqrt(200))*2 - sqrt(200))). 83*sqrt(2)/400 Simplify -4 + ((((sqrt(19) - (sqrt(304) + -1)) + 5)**2 - ((sqrt(19) - -3*(sqrt(19) + 1)) + 5)) + 0)*-5. -999 + 200*sqrt(19) Simplify ((-3*(sqrt(228)*-1 - sqrt(228)))/(sqrt(36)/sqrt(3)*1) - ((sqrt(2736)*2 - sqrt(2736)) + 2 + sqrt(19) + -5))**2. -42*sqrt(19) + 940 Simplify 1*((sqrt(80)/(sqrt(5) + sqrt(80)*-4))/((sqrt(288)*-2 + sqrt(288))*-6))**2. 1/145800 Simplify 5*(-1 + sqrt(1900)*-2)*-6 + (-5 + sqrt(1900)*-2)*1 + 5. 30 + 580*sqrt(19) Simplify (-2 + 4*(4*(sqrt(1088) + 2 + sqrt(1088)) - (-1 + sqrt(1088) + -1 + sqrt(1088))) + -2 + -3 + -5)**2. 10752*sqrt(17) + 627472 Simplify (-3*-2*sqrt(320)*-2)/((sqrt(1440) - sqrt(1440)*-1)*1 + 3*-1*sqrt(1440)). 4*sqrt(2) Simplify (-2*(-3*sqrt(3400) - sqrt(3400))*4)/(sqrt(128)*-6 - (sqrt(32) + sqrt(192)/sqrt(6))). -40*sqrt(17)/7 Simplify ((-5*(-1 + sqrt(720) + 1))**2 + (sqrt(720) + (sqrt(720) - (sqrt(720)*2 - sqrt(720)))*5)*-6)*1. -72*sqrt(5) + 18000 Simplify (sqrt(11) + (sqrt(121)/(sqrt(11)*-5))**2 - (-5*sqrt(539))**2) + (4*(sqrt(55) + (sqrt(55) - sqrt(495))))/(sqrt(45)*3). -336864/25 + 5*sqrt(11)/9 Simplify (4*-2*sqrt(833)*4 - ((sqrt(102)/sqrt(6) + 1)**2 - sqrt(85)/sqrt(125)))*-6 + 3. 111 + 6774*sqrt(17)/5 Simplify (-2 + 3*-5*(-2*sqrt(2736) - sqrt(2736)) - (((sqrt(95)*2 - sqrt(95)) + sqrt(95))*1)/(sqrt(60)/(2*sqrt(12)) - sqrt(5)))**2. -2176*sqrt(19) + 5622788 Simplify -4 + ((sqrt(135)*1*5)/((sqrt(18)/sqrt(3))/sqrt(2)))/(2*(sqrt(90)/(sqrt(20)/sqrt(2)) - (sqrt(81) - sqrt(9))*-6)). -4 + 5*sqrt(5)/26 Simplify (-3*(4*(3*sqrt(99) + 0) + (sqrt(99) - -2*sqrt(99)*-1) + -3)*4)**2. -28512*sqrt(11) + 1726272 Simplify -6*3*6*1*2*(sqrt(200) + (sqrt(200)*-1)**2 + sqrt(200))*-6. 25920*sqrt(2) + 259200 Simplify (6*(4 + (sqrt(425) - (4*(sqrt(425) + -2) + sqrt(425)))))**2 - (
{ "pile_set_name": "DM Mathematics" }
817 What is the derivative of 446 - 905*w - 398*w + 1736*w wrt w? 433 Find the second derivative of -86*d**4 + 62*d - 48*d**4 - 116*d + 2 wrt d. -1608*d**2 Let n(c) = c**2 - 13*c - 27. Let g be n(16). What is the third derivative of -g*b**2 + 995 - 26*b**4 - 995 wrt b? -624*b Let v(s) be the first derivative of 11*s**6/360 - 5*s**4/6 - 22*s**3/3 + 21. Let m(z) be the third derivative of v(z). Differentiate m(f) with respect to f. 22*f Let w(t) be the third derivative of -34*t**4/3 + 229*t**3/6 + 228*t**2. Find the first derivative of w(q) wrt q. -272 Let g(b) = 3*b**2 + 3*b + 15. Let x be g(-3). What is the second derivative of -23*z**5 + 2*z - x*z - 8*z + 2*z wrt z? -460*z**3 What is the third derivative of -133*o**4 + 133*o**4 - 568*o**2 + 418*o**6 + 70*o**2 wrt o? 50160*o**3 Let c(y) be the third derivative of 0*y**6 - 13*y**2 + 0*y + 0*y**4 + 7/6*y**3 + 1/35*y**7 + 0*y**5 + 0. What is the derivative of c(j) wrt j? 24*j**3 Let a(i) = i**4 + i**3 + i**2 + i + 1. Let n(f) = 16*f**4 - 6*f**3 - 6*f**2 - 6*f + 108. Let k(r) = 6*a(r) + n(r). What is the first derivative of k(h) wrt h? 88*h**3 Let t = -51 + 58. Differentiate -t - 32*d + 63*d - 29*d wrt d. 2 Suppose 3*s + 3 = 0, 3*v + 0*s + 2*s = 7. Find the second derivative of -19*r**v - 19*r - 5*r**3 + 12*r wrt r. -144*r Let u be -1*-1*(-1 + 3). Suppose 4*p - d - 13 = 0, u*d = 4*p - 3 - 11. What is the third derivative of -3*o**3 + 2*o**4 + 3*o**p + 3*o**2 wrt o? 48*o Let u(q) be the third derivative of -13*q**4/12 + 164*q**3/3 + 268*q**2. What is the derivative of u(g) wrt g? -26 Let f be 1/(-4) - (-468)/16. What is the first derivative of -6*z - 17*z + f*z + 4 wrt z? 6 Let r(x) be the second derivative of -10*x + 9/2*x**2 + 0*x**3 + 0 - 3/20*x**5 + 0*x**4. Differentiate r(u) with respect to u. -9*u**2 Let r(y) be the first derivative of 107*y**4/4 + 9*y**2/2 - y - 113. What is the second derivative of r(a) wrt a? 642*a Let b(w) be the second derivative of -4*w**3/3 - 83*w**2/2 - 93*w. What is the first derivative of b(c) wrt c? -8 Let x = -8 + 13. Suppose -4*n = 3*v - 0*n + 16, x*n + 20 = -3*v. What is the third derivative of 3*o**4 + v*o**4 - 5*o**2 - 4*o**4 wrt o? -24*o Let r(b) = 564*b**2 + 22*b - 540. Let x(t) = 282*t**2 + 12*t - 269. Let c(m) = 6*r(m) - 11*x(m). What is the derivative of c(w) wrt w? 564*w Let n(z) be the second derivative of -71*z**3/2 + 43*z**2 + 257*z. What is the derivative of n(r) wrt r? -213 What is the derivative of 18 + 57 - 5*k**2 - 10 - 6*k**2 wrt k? -22*k What is the third derivative of -89*y**2 - 2423*y**6 + 2304*y**6 + 174*y**2 + 195*y**2 wrt y? -14280*y**3 Let c(v) = 84*v**2 - 131*v + 5. Let b(j) = -42*j**2 + 66*j - 3. Let z(u) = -5*b(u) - 3*c(u). What is the second derivative of z(r) wrt r? -84 Let s = -33 + 54. What is the second derivative of -22 + 10 + s*q + 12 + 7*q**2 wrt q? 14 Let w(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**5 - 1/6*o**6 + 0*o**4 - 6 + 0*o**3. Find the second derivative of w(i) wrt i. -20*i**3 Let t(p) = -63*p - 90. Let r(x) = -3*x + 1. Let j(z) = r(z) + t(z). Differentiate j(n) with respect to n. -66 Let r(o) be the second derivative of 0*o**5 - 29*o + 0*o**3 - 4/21*o**7 + 0 + 0*o**2 - 13/6*o**4 + 0*o**6. Find the third derivative of r(f) wrt f. -480*f**2 Let o(j) = -11*j - 30. Let b be o(-3). Let g(n) be the second derivative of -n + 5/6*n**b + 1/12*n**4 + 0 + 0*n**2. What is the second derivative of g(i) wrt i? 2 Find the second derivative of 106*p**2 - 30*p**2 + 2*p - 22*p**2 + p**3 - 40*p**2 wrt p. 6*p + 28 Let b(m) = 5*m**3 + 18*m**2 + 3*m + 70. Let s(j) = 4*j**3 + 17*j**2 + 2*j + 69. Let p(t) = -2*b(t) + 3*s(t). Differentiate p(x) with respect to x. 6*x**2 + 30*x Let r(s) be the second derivative of s + 0*s**2 + 0*s**6 + 0*s**4 + 1/20*s**5 + 35/6*s**3 + 5/7*s**7 - 24. What is the second derivative of r(p) wrt p? 600*p**3 + 6*p Suppose 0 = -2*c + 3*n + 987, 0*c - 3*c + 1513 = 2*n. Find the second derivative of -501*x**3 + 6*x**4 - 2*x + c*x**3 wrt x. 72*x**2 Let s(u) = -372*u**2 - 333*u + 6. Let q(i) = -374*i**2 - 334*i + 9. Let h(t) = -2*q(t) + 3*s(t). What is the second derivative of h(o) wrt o? -736 Let v(d) = d**2 - 4*d + 9. Let u be v(6). Let k = -11 + u. Differentiate -4 + 4*x**3 + 2*x**3 - k*x**3 wrt x. -12*x**2 Let x(w) be the first derivative of 9*w**5/5 - 7*w**4/2 + 2*w**3/3 - 52*w**2 - 196. Find the third derivative of x(u) wrt u. 216*u - 84 Let q(z) be the second derivative of 0*z**3 + 37/12*z**4 + 0 - 25*z + 0*z**2 - 3/5*z**6 + 0*z**5. What is the third derivative of q(n) wrt n? -432*n What is the third derivative of 707*c**6 + 410*c**2 + 53*c - 53*c + 5 - 5 wrt c? 84840*c**3 Let v(h) = -h - 1. Let n(j) = j**2 - 4*j - 11. Let a be n(6). Let s(k) = 24*k + 22. Let i(y) = a*s(y) - 2*v(y). Differentiate i(w) with respect to w. 26 Let b(j) = 2*j**2 - 5*j - 3. Let d be b(-2). Differentiate -11*c**2 - d*c**2 - 30 - 5*c**2 wrt c. -62*c Let p = -4 - -7. Suppose i + 6 = p*i. What is the second derivative of 44 - 44 - 6*f + f**3 - 2*f**i wrt f? -6*f Let x = 8 - 9. Let g = x + 5. What is the first derivative of -4*c**2 + 1 + 2 + 4*c**2 + 5*c**g wrt c? 20*c**3 Let j = -66 + 69. Find the third derivative of -5*b**6 - 8*b**6 - 5*b**6 - 17*b**2 - j*b**2 wrt b. -2160*b**3 Let w(f) = 2*f + 7. Let c be w(-2). Differentiate -n**3 + 19 + c*n**3 - 10 - 14 wrt n. 6*n**2 Let x(p) be the second derivative of p**6/15 + 33*p**5/4 + 11*p**3 + 2*p**2 + p + 266. What is the second derivative of x(m) wrt m? 24*m**2 + 990*m Suppose -3*y - u - 3 = -4*u, -2*y + 19 = 5*u. What is the second derivative of 25*w**y - 5*w + 10*w + 10*w wrt w? 50 Let v(z) be the first derivative of -87*z**6 - 32*z**3 + 356. What is the third derivative of v(x) wrt x? -31320*x**2 Suppose -4*v = a - 3*v + 2, v = 3*a - 10. What is the third derivative of -5*m**2 + 8*m**a - 10*m**5 - 4*m**5 wrt m? -840*m**2 Let n(a) = -132*a + 298. Let x(o) = -397*o + 892. Let d(w) = -11*n(w) + 4*x(w). Find the first derivative of d(l) wrt l. -136 Suppose -2*l + 4 = -0. Find the third derivative of 3*r**5 - 5*r**2 + 2*r**5 + 6*r**l - 11*r**2 wrt r. 300*r**2 Let r(o) be the second derivative of -19*o**8/56 - o**7/14 - 155*o**4/12 - o**3/3 + 85*o + 2. Find the third derivative of r(z) wrt z. -2280*z**3 - 180*z**2 Let b = -4 + 24. Suppose -b = -c - 4*c. Find the third derivative of -2*g**2 - 4*g**4 - g**2 + 8*g**c wrt g. 96*g Let a(g) be the first derivative of -85*g**4/4 + 119*g**3/3 + 440. Find the third derivative of a(o) wrt o. -510 Find the second derivative of -48*b**2 + 72*b - 23*b**2 - 2*b - 11*b**2 wrt b. -164 Let v(o) = -36*o**2 + 67*o - 3. Let r(b) = 37*b**2 - 68*b + 4. Let s(t) = -3*r(t) - 4*v(t). What is the second derivative of s(m) wrt m? 66 Let u(q) = 15*q**3 + 5*q**2 - 21*q - 10. Let l(k) = -22*k**3 - 8*k**2 + 31*k + 16. Let f(i) = 5*l(i) + 8*u(i). What is the second derivative of f(z) wrt z? 60*z Let a(k) = -162*k**2 + 219*k + 4. Let z(l) = 323*l**2 - 434*l - 9. Let b(y) = -9*a(y) - 4*z(y). What is the second derivative of b(d) wrt d? 332 Let v(b) be the first derivative of 19*b**4/24 - b**3 + 10*b**2 + 21. Let r(p) be the second derivative of v(p). What is the first derivative of r(n) wrt n? 19 Let i(y) be the second derivative of -y**7/21 - 199*y**6/15 + 53*y**4/12 + 7*y**2/2 + 38*y - 7. Find the third derivative of i(x) wrt x. -120*x**2 - 9552*x Suppose -3*l - l - 24 = 0. Let r be 1 - l/(4 - 2). What is the derivative of -38 - r*m**4 + 43 + m**4 wrt m? -12*m**3 Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h. -32*h**3 Let g(u) be the first derivative of 191*u**4/4 + 110*u**3/3 - 150. Find the third derivative of g(c) wrt c. 1146 Let x(d) be the first derivative of -505*d**6/6 + 437*d**3/3 - 466. What is the third derivative of x(l) wrt l? -30300*l**2 Let t(z) = -4*z + 2. Let l(c) = -5*c + 5. Let x(s) = -6*s + 6. Let f(k) = 5*l(k) - 4*x(k). Let w(m) = -2*f(m) - t(m). Differentiate w(v) with respect to v. 6 Find the first derivative of 90*f**4 + 752*f**2 - 752*f**2 - 87 wrt f. 360*f**3 Suppose 3*m = -4*n + 29, n - 20 = 4*m - 9*m. Suppose 5 = v - n. Find the third derivative of -2*f**3 + 2*f**3 - v*f**4 + 16*f**2 - 21*f**2 wrt f. -240*f Let f(g) = g**3 - 2*g + 1. Let x(y) = 2*y**4 + 6*y**
{ "pile_set_name": "DM Mathematics" }
le of u and 3. 3 Let s = 1191640879/35858088 - -4/640323. Let o = s - 216/7. Calculate the common denominator of (-4)/(96/(-219)) + 0 and o. 8 What is the common denominator of (-1 + (-220)/12 - -4) + 0 and -61/4? 12 Let k(s) = 13*s**2 - s. Let a = -1 - 0. Calculate the lowest common multiple of k(a) and 2. 14 Let x be (-21102)/(-31392) + (-1)/4. Let q = 5/327 + x. Calculate the common denominator of q and 5/12. 48 Suppose -z + 3*m + 32 - 5 = 0, 0 = -3*z - 5*m + 95. Calculate the smallest common multiple of 18 and z. 90 Let c(h) = -21*h + 1. Let z be c(-3). Suppose 5*g + 9 - z = 0. Suppose -6*v + 4*v = -22. Calculate the smallest common multiple of v and g. 11 Let i = -11579 - -6287389/543. Let p = -3596/1629 + i. Calculate the common denominator of 17/11 and p. 99 Suppose 19 = 5*o + 3*g - 6, 0 = 5*o - 5*g - 25. Suppose -5*q = o + 10. What is the lowest common multiple of 2/q*(-15 - -3) and 7? 56 Let p = -638059/165740 - 2/8287. Let b(q) = -20*q**2. Let m be b(-1). What is the common denominator of p and (0 - 2) + 57/m? 20 Let x(m) = m**2 - 12*m - 7. Let v be x(7). Suppose 7 = 3*l + 1. Calculate the lowest common multiple of ((-36)/14)/(9/v) and l. 12 Let q = -3 + 7. Suppose q*r - 5*o - 2 = 2, -2*o = 4*r - 32. What is the least common multiple of 8 and r? 24 Let j(l) = 2*l**2 - 3*l - 5. What is the smallest common multiple of 2 and j(-2)? 18 Let l be ((-132)/(-200))/(2/12). Let f = l + -2657/450. What is the common denominator of 61/16 and f? 144 What is the smallest common multiple of 16 and (-26)/(-247) - (-984)/38? 208 Let x be (18/(-5))/((-20643)/(-70)). Let l = x - 89213/19660. Calculate the common denominator of -45/8 and l. 40 Let y = 76219/30 - 5087/2. Find the common denominator of y and 121/6. 30 Suppose -3*a + 0*a = 30. What is the common denominator of (3/(-9))/(3/(834/4)) and 1065/(-200) + (-2)/a? 24 Let p be (-5 - -4)*(-7 - 1). Suppose -3*v - v = -p. Calculate the least common multiple of 20 and v. 20 Let a = -14 - -23. What is the least common multiple of 24 and a? 72 Let t be 51872164/(-6148296) + (-2)/(-9). Let r = t - -4/12199. Calculate the common denominator of -81/4 and r. 28 Let y(z) = -z**3 + 7*z**2 + 9*z + 2. Calculate the least common multiple of y(8) and 8. 40 Suppose 0 = m - 4*h + 10 - 4, -4*m + 2*h = -46. Suppose 31 + 59 = 5*q. Calculate the smallest common multiple of (-4)/((-40)/q - -2) and m. 126 Suppose 2*j - 8 = -4*a, -1 = -4*j - a + 1. Find the common denominator of j + 2 - (-183)/18 and -19/22. 66 Suppose -2*h + 116 = 2*o, -2*h - 98 = -2*o + 2*h. Calculate the lowest common multiple of o and 15. 165 Let g = 344627/37870 - 1/3787. What is the common denominator of g and (-2)/(-14)*(-20 + 30)? 70 Let j(d) = d + 2. What is the smallest common multiple of j(6) and 8? 8 Let c(f) = -f + 2. Let n(d) = 1. Let k(h) = c(h) + 2*n(h). Let a be k(4). Suppose -g + 4 = -a. Calculate the smallest common multiple of g and 2. 4 Suppose -2*r - 1 = -3. Calculate the smallest common multiple of 16 and 32/(4 - 0)*r. 16 Suppose n + 8 = 5*n. Let y(h) = -h**3 - 2*h**2 + 3*h. Let d be y(-3). Suppose -n*u = -d - 6. What is the least common multiple of 10 and u? 30 Let o(l) = 3*l + 1. Let g(k) = -k + 2. Let w be g(0). Let p = w + -1. Calculate the smallest common multiple of 6 and o(p). 12 Let v be (-3)/((-9)/(-2))*58. Let k be 3 + (-2 - (-1166)/(-30)). Let x = v - k. What is the common denominator of 16/7 and x? 35 Suppose -4*r - r - 30 = 0. Calculate the common denominator of 61/10 and (-2)/((-8)/(-13))*r. 10 Suppose s - 4*n + 8 = -0*s, 4*n = 5*s - 8. What is the least common multiple of 6 and s? 12 Let s = -5855 + 93777/16. Find the common denominator of s and -17/58. 464 Let s(w) = -w**3 + 5*w**2 + 2*w - 12. Let o be s(6). Let h = 52 + o. Suppose 4*l = -0*l + 8, -b + 5*l + 10 = 0. What is the least common multiple of h and b? 80 Let r = -29235/8 + 3667. Calculate the common denominator of r and -52/9. 72 Suppose -4*u + 4*c + 8 = 0, u - 5*c + 2 = -0. Suppose 6 + 8 = 5*y - 2*n, -2*n - 10 = -u*y. What is the least common multiple of y and 6? 6 Let n be (3*1)/((-12)/84). Let t = 139627/37455 + -2/3405. Find the common denominator of t and -3 + ((-372)/n)/2. 77 What is the common denominator of 31/16 and (1/(-21)*1)/((-16)/(-141))? 112 Let h = 13 + -9. Let r be (-101)/(-11) + h/(-22). Let u = r - -7. Calculate the smallest common multiple of u and 6. 48 Let b(l) = -2*l - 10. Suppose 2*v + 42 = -v. Calculate the lowest common multiple of b(v) and 2. 18 Suppose 0 = -3*i - i + 20. Suppose 3*y - i*y = -2. Calculate the lowest common multiple of y and 1. 1 Suppose 4*f = 40 + 4. Let o = f + -4. Suppose 0 = 2*x - 0 - 8. Calculate the smallest common multiple of x and o. 28 Let o be 15096/180*813/6128. Let m = -3/1915 + o. Find the common denominator of -109/6 and m. 24 Let n be (-2)/7 + 48/21. Suppose -n*j = j - 6. What is the smallest common multiple of 18 and j? 18 Suppose -5*o = 2*x - 1, -4*x - 3*o = -2*x - 7. Let s = 6 + 2. Calculate the least common multiple of s and x. 8 Calculate the common denominator of 3/2*30/(-11) and 100/(-14) - (-15)/(-35). 77 Let z = 9 + -9. Suppose 3*i - 4*a + 0*a + 2 = z, 2*i + 4 = 4*a. Calculate the least common multiple of i and 2. 2 What is the common denominator of -17/4 and (258/32)/(9/4)? 12 Let j(u) = -u - 6. Let a be j(-8). What is the smallest common multiple of a/(-8) + 51/12 and 2? 4 Suppose -318 = -3*f + 2*k, 0 = -5*f + f + 2*k + 422. Suppose 56 = -2*o - 2*j, 5*o = 2*o + j - f. What is the common denominator of o and -18/19? 19 Let t = 2/803 - 40967/5621. Find the common denominator of t and (3/6)/(18/28). 63 Calculate the least common multiple of 18 and (119/(-21))/((-2)/24). 612 Suppose -8*c - 88 = -12*c. Suppose 5*j + 3*w - 107 = 0, 3*j - 2*j - w - 23 = 0. Calculate the smallest common multiple of c and j. 22 Find the common denominator of 106/42 - (-10)/(-30) and -83/48. 336 What is the common denominator of ((-2)/(-72))/((-8)/(-1552)) and -59/34? 306 Suppose -5*h + s = 3*s, 2*h + s + 1 = 0. Find the common denominator of 11/20 and 935/(-121)*h/4. 220 Let z be (-14)/(-1) + (-2)/2. Calculate the smallest common multiple of z - 2 - 4/2 and 9. 9 Suppose 4*a = 3*a - 13. Let o = a - -17. What is the smallest common multiple of 20 and o? 20 Calculate the common denominator of 1378/(-117)*2/4 and -29/10. 90 Suppose a + 2*a = 24. Let v(c) = -7*c - 1. Let m(f) = -15*f - 1. Let y(o) = 6*m(o) - 13*v(o). What is the lowest common multiple of y(-5) and a? 8 Let c(j) = -2*j + 4. Let i be c(-9). Suppose 2*v = i - 2. Calculate the least common multiple of 2 and v. 10 Let p be -480 - 3 - (1 - 3). Let q = 220/343 - -517270/1029. Let i = q + p. Find the common denominator of 18/7 and i. 21 Calculate the common denominator of 0/2 + (-258)/(-24) and 169/126. 252 Suppose -2*i + 10 = 3*i. Calculate the smallest common multiple of i and 3. 6 Let s = 97 - 90. Calculate the smallest common multiple of 39 and s. 273 Let m = 145220678 + -336476322342/2317. Let s = -4966 - -3287491/662. Let q = s + m. Calculate the common denominator of q and -5/8. 56 Calculate the common denominator of 111/20 and (-13)/(-13) - (-202)/12. 60 Let v(z) = 3*z**3 + 2*z**2 + z + 2. Let k(t) = -16*t**3 - 9*t**2 - 4*t - 9. Let b(d) = -2*k(d) - 11*v(d). What is the smallest common multiple of b(-4) and 6? 24 Let k = -239/168 - -190/21. What is the common denominator of k and -55/28? 56 Let t(x) = -x**3 - 3*x**2 - 2*x - 1. Let s be t(-2). Calculate the common denominator of s/(-3) + (-37)/18 and 28/100*20/(-16) + -4. 180 Let v be -1 - 3/(9/(-192)). Let u(s) = s**3 - 11*s**2 - 5*s + 10. Let j be u(11). Let i = v + j. What is the smallest common multiple of i and 22? 198 Find the common denominator of (-508)/48 + 0/(-2) and (1/12)/((-3)/(-273)). 12 Suppose -3*h - 106 + 160 = 0. Let d = 44 + -22. What is the least common multiple of h and d? 198 Suppose 0 = -4*t - t - 20. Find the common denominator of (-1048)/80 + (-2)/t and 51/2. 10 Let t be 1*(-2)/(5 + -3). Calculate the common denominator of -35/2 and -10*t/(4/(-5)). 2 Let r = 63 - 90. Let a = r - -38. What is the smallest common multiple of 4 and a? 44 Suppose -20 = -4*z + 12. What is the lowest common multiple of z and 6? 24 Suppose 5*l - 20 = 2*f + f, -3*l = -12. Let a(h) = h + 12116. Let d
{ "pile_set_name": "DM Mathematics" }
divided by s. 34 Let l(x) = -x**3 - 4*x**2 + 5*x + 4. Let j be l(-5). Suppose 3*q = q - i + 10, 16 = j*q + i. What is the remainder when 7 is divided by q? 1 Suppose -4*b + 116 = 4*u, -b + 3*u + 99 = 2*b. Calculate the remainder when 90 is divided by b. 28 Let i(t) = t + 4. Let o = -4 - -1. What is the remainder when 2 is divided by i(o)? 0 Suppose l + 20 = 5*l. Let n(o) = 3*o - 1. Calculate the remainder when 40 is divided by n(l). 12 Let p = 31 + 19. What is the remainder when p is divided by (-3)/(-6)*-2 + 14? 11 Suppose 5*q - 317 + 102 = 0. Calculate the remainder when q is divided by 15. 13 Let c be 1/(-3)*(3 + 0). Let j = 4 + c. Suppose 5*q - 30 = 2*q - 3*y, 0 = 5*q - 2*y - 15. Calculate the remainder when q is divided by j. 2 Let c = 0 - -3. Suppose -2*b = -0*b. Suppose -q - a = -b*a, 0 = -a - 4. What is the remainder when q is divided by c? 1 Suppose 0 = -5*w + 55 - 5. Let o = 33 - 68. What is the remainder when 7/14*(-1 - o) is divided by w? 7 Let b(i) = -12*i - 8. Let d be b(-10). Let g = d + -74. Calculate the remainder when g is divided by 13. 12 Suppose -3*h - 9 = -3*n, n = 6*n - 2*h - 12. Let s = n + 1. Calculate the remainder when 8 is divided by s. 2 Let v(j) = 6*j**3 - 6*j**2 + 8*j - 14. Let f(a) = 5*a**3 - 6*a**2 + 7*a - 13. Let w(g) = -7*f(g) + 6*v(g). What is the remainder when w(-6) is divided by 7? 6 Let v = 27 - 21. Calculate the remainder when 23 is divided by v. 5 Let w(b) = -3*b - 22. What is the remainder when 99 is divided by w(-14)? 19 Let u = -20 + 48. Let t be (-296)/(-7) + 4/(-14). Suppose 4*r - 32 = -2*n, -3*r + 6*n = 3*n - t. Calculate the remainder when u is divided by r. 8 Suppose 0 = 3*a - q - 7, -6*a - 4*q + 11 = -5*a. Let l = -20 - -33. What is the remainder when 10/a*(-15)/(-2) is divided by l? 12 Let j be (-60)/(-14) - 12/42. Suppose -h - 60 = -j*h. What is the remainder when 79 is divided by h? 19 Let r = -9 + 14. Let b be (-2)/5 - (-27)/r. Calculate the remainder when 30 is divided by ((-16)/(-5))/(1/b). 14 What is the remainder when -8*(1 + (9/(-2))/3) is divided by 2? 0 Suppose -4*w + 5*w = 8. Let v = 5 - -16. What is the remainder when v is divided by w? 5 Let t(a) = 2*a**2 - 18*a - 2. Calculate the remainder when t(10) is divided by 7. 4 Let c = -32 - -68. Suppose -2*p = 2*p + c. What is the remainder when p/(-12)*(1 + 27) is divided by 12? 9 Suppose -140 = -2*q - 5*y, 4*q - 3*q - 64 = -y. Calculate the remainder when q is divided by 21. 18 Suppose 0 = -2*j + j - 4*m + 49, 5*j - 245 = 3*m. Calculate the remainder when j is divided by 13. 10 Calculate the remainder when 2/6 + (-1127)/(-21) + 8 is divided by 21. 20 Suppose -4*o + 35 = 3*q, -4*q - 4*o - 7 + 47 = 0. Suppose -q*r = -r - 64. What is the remainder when 31 is divided by r? 15 Let h(w) = -3*w - 14. Let o = 16 - 1. Calculate the remainder when o is divided by h(-6). 3 Let i(y) = 8*y + 6. What is the remainder when 119 is divided by i(3)? 29 Suppose 28 = -z - 55. Let i = -53 - z. What is the remainder when i is divided by 11? 8 Suppose 0 = -2*n - 2*d + 42, -2*n + 2*d = -18 - 40. Let s(t) = 10*t**2 + 10*t - 12. What is the remainder when s(2) is divided by n? 23 Suppose 0 = -3*d + 5*t - 15, 3*d - 4*t + 24 = 6. Let r(u) = -u**3 - 10*u**2 - u - 4. What is the remainder when 9 is divided by r(d)? 3 Let b(m) = m**2 + 3*m - 5. Let a be (-3)/9 - (-76)/3. Suppose -6*u - a = -u. What is the remainder when b(u) is divided by 2? 1 Let t(u) = -3*u + 0 + 2 - u. Calculate the remainder when 41 is divided by t(-3). 13 Suppose 2*y + y - 48 = 0. Let f be 2*-12*(-1)/2. Let z = y + f. Calculate the remainder when z is divided by 15. 13 Let v(y) = -15*y + 3. Let h be v(2). Let n = -20 - h. What is the remainder when 19 is divided by n? 5 Suppose 0 = -5*c + 2*r - 4*r + 79, -3*c + 48 = r. Calculate the remainder when 31 is divided by c. 14 Let t = 1 + 1. Suppose 5*a - 4*n = 347, 100 = t*a + 3*n - 25. What is the remainder when a is divided by 23? 21 Suppose 6*d = -d + 35. Calculate the remainder when 8 is divided by d. 3 What is the remainder when 18 is divided by (5/30)/((-3)/(-30))*6? 8 Suppose 0 = 4*d - 11 - 57. What is the remainder when d is divided by 9? 8 Let f(x) = 28*x**2 + x. Let h be f(-1). Let z = -5 + 5. Suppose -45 = -5*k - 5*w, -w = -3*k - z*w + h. Calculate the remainder when 26 is divided by k. 8 Let c(m) = m + 3. Let k be c(0). Calculate the remainder when 19 is divided by (k + -2)*(-2 + 7). 4 Suppose 0 = 10*f - 8*f - 6. What is the remainder when (-2)/f - (-214)/6 is divided by 18? 17 Suppose 2*c - r = 72, 0 = -c + 5*c - 3*r - 142. What is the remainder when c is divided by 27? 10 Suppose 3*s + 5 = -1. Let p be 5/s*72/(-20). Suppose 15 + p = 4*o. Calculate the remainder when 15 is divided by o. 3 Let q be (-2)/3*(-684)/8. Suppose -v + q = 2*v. Calculate the remainder when v is divided by 7. 5 Let p(z) = 2*z - 12. Let y(h) = -2*h + 11. Let i(j) = -5*p(j) - 6*y(j). Let a be i(7). Let d = a - -10. Calculate the remainder when d is divided by 10. 8 Suppose -2*f - 3*k = -97, -4*k + 5 = -3*k. Suppose 2*w + 10 = x, -80 = -5*x - 0*x - 5*w. What is the remainder when f is divided by x? 13 Let a be ((-3)/2)/((-3)/(-20)). Suppose 0 = -5*v + 31 + 49. What is the remainder when v is divided by 0 - 0 - (1 + a)? 7 Calculate the remainder when 78 is divided by 1 + (6 - 4) + 13. 14 Let p(i) = i**3 - 14*i**2 - 16*i - 1. Let m be p(15). Suppose 2*o - 46 = 4*o. Let v = m - o. Calculate the remainder when 12 is divided by v. 5 Suppose h = -0*h + 33. Suppose q - 6 = -3. Suppose -o = -i - 11, -h = -3*o - q*i + i. Calculate the remainder when 31 is divided by o. 9 Suppose -75 - 98 = -3*j + u, 0 = 3*j + 4*u - 163. Calculate the remainder when j is divided by (36/(-14))/((-7)/((-686)/(-21))). 9 Let i = -21 - -24. What is the remainder when 7 is divided by i? 1 Let u be (-3 + 2)*(4 - -1). Suppose -4*z + 2 - 62 = 0. Let o = u - z. Calculate the remainder when 28 is divided by o. 8 Let g be (8/10)/((-1)/(-10)). Let m = -6 + g. Suppose -m*n + 18 = 4*d, 4*n = -15 + 3. Calculate the remainder when d is divided by 4. 2 Let x = 45 + -43. What is the remainder when (9*-1)/((-3)/2) is divided by x? 0 Suppose 5*h - 38 = -w, -3*w = -w - 3*h - 37. Calculate the remainder when 67 is divided by w. 21 Let a(t) = 3*t**3 - 4*t**2 - 4*t + 12. What is the remainder when a(3) is divided by 6? 3 Let a(x) = -x**2 - 6*x + 1. Let n be a(-6). Calculate the remainder when 2*(3/n + -1) is divided by 3. 1 Let z(k) = -k**2 + k + 4. Let u be z(3). Let p be u*(-7*1)/1. Suppose i + i - p = 0. Calculate the remainder when 19 is divided by i. 5 Let x(t) = -t**2 + 15*t - 14. Let u be x(10). Suppose 4*d = -0*d + u. Let q = -4 + 21. Calculate the remainder when q is divided by d. 8 Let a = -21 - -36. Calculate the remainder when 37 is divided by a. 7 Suppose -4*s + 7 = -3*s - b, b - 48 = -4*s. Calculate the remainder when s is divided by 6. 5 Let t = 16 + 36. What is the remainder when t is divided by 18? 16 Let q be 0 - 2 - 1 - -1. Let m(u) = -14*u - 4. Calculate the remainder when m(q) is divided by 13. 11 Let m = -11 + 15. Suppose 3*d - m = -1. Calculate the remainder when 3 is divided by d. 0 Let i = 42 + -14. Let v(x) = -6*x - 3. Calculate the remainder when v(-2) is divided by 147/i + (-2)/8. 4 Let l be (-35 + 4)*3 - -4. What is the remainder when 68 is divided by l/(-4) + 27/36? 22 Let h = -28 + 48. Suppose 99 = 4*m + 3*v, 4*m - 2*v - 116 = -22. Let z = m + -17. Calculate the remainder when h is divided by z. 6 Let r(x) be the third derivative of -x**6/120 - 7*x**5/60 - x**4/8 - 7*x**3/6 + x**2. Calculate the remainder when 67 is divided by r(-7). 11 Suppose -5*a = 5, 0*o = -3*o + 4*a + 13. Let x be o + 4/(-1) + 3. Suppose -42 = -x*p + 32. Calculate the remainder when p is divided by 13. 11 Suppose -3*l = 4*b - 148, 238 = 3*l + 2*l - 2*b. Suppose f = -3*f + l. Calculate the remainder when 34 is divided by f. 10 Let z = 4 - -45. Calculate the remainder when z is divided by 13. 10 Suppose -4*i - 1 = 5*j - 2, -7 = 4*i - 3*j. What is the remainder when 17 is divided by 10*(i + 2) - 1? 8 Suppose -2*x - 11 = -33. Calculate the remainder when 31 is divided by x. 9 Let z(g) = -5*g. Let a be z(-1). Suppose 165 = 6*d - d + 3*y, 0 = -4*d - a*y + 132. Calculate the remainder when d is divided by 2 + (16 - (
{ "pile_set_name": "DM Mathematics" }
-42*a**5 + 6*a**4 Expand (8 - 1 + 2)*((-2*y + 5*y - y)*(-3 + 2 + 2) - 3*y - 1 + 1)*(-51 - 95 - 11). 1413*y Expand 0*a**2 - 2*a**2 + 0*a**2 + (-8224 + 8224 + 98*a)*(192 + 7*a - 192). 684*a**2 Expand -c**4 - 3*c**4 + 5*c**4 + (0*c**2 + c**2 + c**2)*(-26*c**2 - 22*c + 7*c + 17*c). -51*c**4 + 4*c**3 Expand (-q**3 + 2*q**3 - 3*q**3 - 2*q**4)*(4520*q - 4739*q + 2 - 2). 438*q**5 + 438*q**4 Expand (4 - 3 + 1)*(-2*l - 2*l + 5*l)*(-5*l**3 + l**3 + 3*l**3 + (0*l - l + 3*l)*(2605*l - 2605*l + 53*l**2) + 3*l**3 - l**3 - 4*l**3). 206*l**4 Expand (1 - o - 1)*(2 - 2 + 2*o) + (-71*o**2 + 7*o**2 - 6*o**2)*(-88 - 85 + 131). 2938*o**2 Expand (-3 - 3*s + 3)*(-1 + 1 - 2*s) - 2 + 8*s**2 + 2 - 10*s + 10*s + 2*s**2. 16*s**2 Expand -3*z**5 - 10*z - 2*z**3 + 10*z + 3*z**5 + 3*z**5 - 4*z**5 + (3*z**2 + 0*z**2 - 2*z**2)*(-18*z**3 - 224*z**3 - 73*z**3). -316*z**5 - 2*z**3 Expand (2*s - 2*s**2 - 2*s)*(2*s + 0*s - 5982*s**3 + 6633*s**3). -1302*s**5 - 4*s**3 Expand (-11332 + 11337 + 146*o - 825*o)*(o**2 - o**2 + o**3). -679*o**4 + 5*o**3 Expand (56 - 89*v - 56)*(18*v + 24*v + 4*v). -4094*v**2 Expand -250*m**2 - 23*m**3 + 250*m**2 - m**3 + 0*m**3 - 2*m**3 + (-2*m**2 + 2*m**2 - 2*m**2)*(m + 0 + 3 + 7). -28*m**3 - 20*m**2 Expand (4*s**4 + 3*s**4 - 3*s**4 + (-3*s + 8*s + 9*s)*(2*s**3 + 0*s**3 - s**3))*(-s + 9*s - 4 - 19*s). -198*s**5 - 72*s**4 Expand (12*l - 1 + 7*l + 0*l)*(-3 + 0 + 2)*(-2*l + 1 - 1) + (3*l + 3*l - 3*l)*(0*l - 3*l + l) - 17*l**2 + 8*l**2 - 17*l**2. 6*l**2 - 2*l Expand (2*q + 1 - 1)*(-1 - 1 + 1) - 3594 + 7189 - 3594 + 922*q. 920*q + 1 Expand 2*h**5 + 23*h**5 + 26*h**5 + (h**3 + 3*h**3 - 2*h**3)*(-2 + 2 - 2*h**2) + (0*h**3 - h**3 + 0*h**3)*(3*h**2 - 4 + 4). 44*h**5 Expand (n - n - 2*n**2)*(-2 + 19 + 2 + (-3 + 1 + 1)*(0 - 1 + 3) - 1 + 1 + 1)*(-4 + 4 + 1 + (-1 - 3 + 2)*(6 + 3 - 5) - 2 + 3 + 0). 216*n**2 Expand (2 + 21*m - 3*m - 2)*(m**4 + 251*m**4 - 46*m**4). 3708*m**5 Expand (-k**4 + 2*k**4 - 3*k**4)*(-k + 2*k + 2*k) - 7639*k**5 + 15334*k**5 - 7556*k**5 + 13*k**4. 133*k**5 + 13*k**4 Expand (2*c**2 - 14*c + 14*c)*(-9 + 12 + 6 + (-4 + 3 + 0)*(1 + 1 + 1))*(-c**2 + 2*c**2 + 0*c**2). 12*c**4 Expand (-1 - 3*h**2 + 1)*(1 + 16118*h**3 - 15954*h**3 - 3). -492*h**5 + 6*h**2 Expand -59*v**2 + 59*v**2 - 32*v**4 + (2*v**2 + 3*v**2 - 6*v**2)*(-1 + 1 - 2*v**2) + 0*v - v**4 + 0*v + 10*v**4 - 19*v**4 + 7*v**4. -33*v**4 Expand 5*m**2 - 5*m**2 + 2*m**3 + ((-2*m**2 + 2*m**2 - 2*m**2)*(7*m + 0*m + 9*m) - 44 + 2*m**3 + 44)*(-1 + 3 - 4). 62*m**3 Expand 165 - 165 - 5*z + (-4*z + 2*z + 0*z)*(2 + 0 - 1) + 5*z + 6*z - 5*z - 19*z + 40*z + 6*z. 26*z Expand ((1 - 1 - 1)*(r - 2 + 2) + r - 5*r + 2*r + 0*r - 12*r - r)*(-2*r + 0 + 0 - 2*r + 2*r - r + (-6*r - r + 5*r)*(-2 + 0 + 3)). 80*r**2 Expand (6*d - 6*d + d + d - 5*d + 2*d + (0 + 2 - 1)*(3*d - d - 3*d))*(-1 + 11 + 23). -66*d Expand (15*j + 68*j + 981 - 979)*(-192 + 167*j + 192 - 2*j**2). -166*j**3 + 13857*j**2 + 334*j Expand (-49*o**2 - 23127 + 23127)*(-16 + 28 + 5*o**2 - 13). -245*o**4 + 49*o**2 Expand (5 - 7 - 5)*(-7 - 8 + 5)*(0*h**3 + 2*h**3 - 4*h**3)*(1 - 4 + 1). 280*h**3 Expand 2*g + 8*g**2 + 4*g**2 - 1 - 13*g**2 + ((3 + 0 - 5)*(2*g - 6*g + g) - 4*g + g + 17*g)*(-4*g + 3*g + 8*g). 139*g**2 + 2*g - 1 Expand (-q**3 + 7*q + 3 - 7*q)*(-5 + 3 + 1)*(-105*q + 699465 - 699465). -105*q**4 + 315*q Expand (0 - 1 + 4)*(45*c - 2 + 6 - 3)*(-1 + 0 - 1)*(1 + 2*c - 1). -540*c**2 - 12*c Expand 31 - 31 - 7*g**4 - g + (-4*g**3 + 6*g**3 + 2*g**3)*(2*g + 4 - 4) - 4*g**4 + 5*g**4 - 4*g**4 + (-g + 1 - 1)*(-2*g**3 + 5*g**3 - 4*g**3). -g**4 - g Expand (-12 + 4*k + 12)*(-32 - 17 + 221). 688*k Expand (4*i - 3*i + i)*(-5*i + 5*i + i) + 1 - 1 + 2*i**2 + 10*i**2 - 28*i**2 - 4*i**2 + 196*i - 196*i - 12*i**2. -30*i**2 Expand (-35*x - 26*x + 4*x)*(0*x + 4*x - 5*x)*(4*x**3 + 4*x - 4*x). 228*x**5 Expand (-10*g - 32*g + 5*g + (4*g - 2*g - 4*g)*(1 + 4 - 4))*(4*g + 0 + 0)*(7*g - 6*g - 2*g - g**2). 156*g**4 + 156*g**3 Expand (-385*p - 289*p - 3 + 1)*(12*p - 26 + 26). -8088*p**2 - 24*p Expand (0 - 2 + 3)*(-2 + 2 - s) + (-2 - 3 + 0)*(52 + 0*s - 62 - s). 4*s + 50 Expand (24239*m - 3187*m**2 - 24239*m)*(-2*m**2 - 3 + 3 - 2*m). 6374*m**4 + 6374*m**3 Expand (816*m + 3596*m + 1471*m)*(2*m**2 - 4*m**2 - m**2). -17649*m**3 Expand 50*n**4 - 18*n**3 + 18*n**3 + (-2*n + 2*n - n)*(-3*n**3 + 3*n**3 + n**3) + 9*n**4 + 5*n**4 + 2*n**4. 65*n**4 Expand (2 + 3*r**2 - 2)*(0 + 0 + 1)*(-1 + 3 - 3)*((-22 - 18 - 8)*(-2 + 3 + 0) + 2 + 1 - 1)*(-3 + 3 - 2*r). -276*r**3 Expand (2*k**2 - 2*k + 2*k)*(513972 - 1027087 + 514691 + 6*k). 12*k**3 + 3152*k**2 Expand (2*v - 3 + 3)*(3*v - 18*v + 12*v - 33*v**2 + 6). -66*v**3 - 6*v**2 + 12*v Expand (-32 - 16*d + 32)*(-11 - 401*d + 14 - 3). 6416*d**2 Expand (-4*j**2 + 3*j**2 + 2*j**2)*(-3154 - 23241 - 12463 + 5436 - 18802 - 12032). -64256*j**2 Expand (0*l**2 + 2*l**2 - 4*l**2)*(-l**2 + 0*l + 0*l) + 623*l**4 + 31148*l**2 - 31148*l**2. 625*l**4 Expand (-z - 4*z + 4*z)*(11 - 5 + 12) - 5*z - 20*z - 18*z - 2*z + z + 0*z. -62*z Expand (379 - 1902 - 4768 - 3358 - 991)*(-4*s**5 + 3*s**5 + 0*s**5). 10640*s**5 Expand (129 + 52 + 167 - 73)*(21*s**2 - 14*s**2 + 11*s**2)*((2*s + s - s)*(1 + 0 + 0) + 6*s + 4*s - 4*s). 39600*s**3 Expand (2 - 2 + h)*(-h**3 + 2*h**3 - 2*h**3) + (-3 - 3 + 4)*(h**4 + 2 - 2) - 13*h**4 - 41*h**4 + 12*h**4 - 3*h**3 + 3*h**3 + h**4. -44*h**4 Expand (0*s**2 - s**2 - s**2)*(-127*s**2 + 460*s**2 + 202*s**2)*(-17*s + s + 0*s). 17120*s**5 Expand b**3 - b**2 + b**2 + (-4*b + 2*b + 3*b)*(-21*b + 21*b + 36*b**2) - 9 + 5*b**3 + 3*b**3 - 9*b**3 + 3*b**3 + 3*b - 4*b + 0*b**3. 39*b**3 - b - 9 Expand (177*t - 178*t - 40 - 10 - 5)*(25*t**4 - 205*t**4 - 42*t**4). 222*t**5 + 12210*t**4 Expand (-6 - 1 - 10)*(-2*d + d + 0*d)*(-8957 + 8957 + 874*d + (-4 - 1 + 6)*(4 - 4 - 2*d) + (-4*d + d + 5*d)*(-1 + 1 - 1)). 14790*d**2 Expand -460*a**4 + 2*a**2 + 158*a**4 + 171*a**4 + (-2*a**3 + 2*a - 2*a)*(3*a + a - 3*a) - 2*a**4 + 4*a - 4*a - 2*a**2 - a**4 + 2*a**2 + 0*a**4 - a**4 - 2*a**4. -139*a**4 + 2*a**2 Expand 30520*y**2 + y - y**4 - 30520*y**2 - 27*y**3 + (-5 - 3 + 0)*(2 - 2 - y**4). 7*y**4 - 27*y**3 + y Expand (6 + 142 - 37*x**2 - 22*x**2 + 36473972*x - 36473972*x)*(-2*x**2 + 4*x**2 - 3*x**2). 59*x**4 - 148*x**2 Expand (2 - 4 + 3)*(-426*m - 134*m - 377*m)*(-2 - 3 + 6)*(-2*m + 2*m - m). 937*m**2 Expand (2*a + 4*a - a)*(-7 + 4 + 0) + (-4*a - 3*a + a)*(0 + 3 - 4). -9*a Expand (-4*g**5 - g**5 + 4*g**5)*(3 - 3 + 11) - 61*g + 4*g**3 + 59*g + 10*g**5 - 5*g**5. -6*g**5 + 4*g**3 - 2*g Expand (6*x**2 + 54*x**2 - 17*x**2)*(3*x**2 + 2*x**2 - 3*x**2) - 8*x**4 - 3*x + 3*x. 78*x**4 Expand (o - o + 21*o**2)*(3*o**3 - 501 + 253 + 244 - 2*o**2). 63*o**5 - 42*o**4 - 84*o**2 Expand (-3*h + 0*h + 5*h)*(368*h + 395*h - 142*h)*(-h**3 - h**2 + h**2). -1242*h**5 Expand (4*z**2 + 4*z**2 - 4*z**2)*(-z**3 + 4*z**3 - 5*z**3 + (-1 + 29 - 1)*(17 - 17 - 5*z**3)). -548*z**5 Expand ((-2 + 5 - 1)*(-2 - y + 2) + 0*y + y - 2*y - 5 + 5 - 3*y)*(-4635*y - 4106*y + 9714*y). -5838*y**2 Expand (-1 + k + 1)*(-112*k + 204*k - 1263*k) + (-1 + 1 + k)*(k + k + 0*k). -1169*k**2 Expand (-2008*w**2 + 2008*w**2 - 294*w**4)*(0 - 4 + 0 + (-3 + 5 - 4)*(-4 + 4 - 2) - 3 + 2 + 0). 294*w**4 Expand (755 - 2839 - 953)*(0*p**2 - p**2 + 2*p**2) + (3*p + 4*p - 5*p)*(p - 1 + 1). -3035*p**2 Expand (-w**4 - 3*w**4 - w**4)*(0*w + 8*w - 4*w + 2*w - 1 + 1 + (1 + 0 - 2)*(2*w - w + w) + w + 0*w + 0*w). -25*w**5 Expand 8*j**4 + 33*j**2 - 33*j**2 + (-2*j**2 + j**2 + 0*j**2)*(-j - 2*j**2 + j) + 7*j**2 - 3*j**4 - 7*j**2 + (4*j**2 + j**2 - 3*j**2)*(20 - 13 - 8 + j**2). 9*j**4 - 2*j**2 Expand (-2*h + h - 8*h)*(-h**4 - h + h) + 219*h**5 + 186*h**5 - 462*h**5. -48*h**5 Expand (690 + 18 + 41 + 362)*(7 - 3 - 3)*(4*d**4 + 2*d**4 + 5*d**4). 12221*d**4 Expand (-2*m**2 - m**2 + 5*m**2)*(-166*m**3 + 51*m**3 - 20*m**3) - 4*m**5 + 3*m**5 + 3*m**3 + 2*m**3. -271*m**5 + 5*m**3 Expand (-34340*l**2 - 33498*l**2 + 70573*l**2)*(-5 + 5 + l)*(-3 + 0 - 2). -13675*l**3 Expand (-4*w**4 + 4*w**4 + 3*w**5)*(1 + 0 + 4) - 24*w**5 - 184*w**5 - 47*w**5 - w**5 + 4*w**5 - 4*w**5. -241*w**5 Expand (2 + 2*h - 2)*(3*h + 6 - 6) - 164 + 51 + 1025*h**2 + 114 + (-3 + 3 + h)*(h - 2*h + 2*h). 1032*h**2 + 1 Expand (0 + 0 - 2)*(-3 + 1 + 0)*(-1 - 2 + 1)*(132*r - 73*r + 74*r)*(5 + 7 - 6). -6384*r Expand u**4 + 0*u + 0*u + (35*u + 249*u + 242*u)*(3*u**2 + 4*u**3 - 3*u**2). 2105*u**4 Expand (-4 -
{ "pile_set_name": "DM Mathematics" }
+ 4*c - 455 - c + 3*c**3. 3*c**3 + 3*c + 1120 Collect the terms in 86*n**2 + 285*n**3 - 86*n**2. 285*n**3 Collect the terms in -265*j**2 - 260*j**2 + 1041*j**2 - 248*j**2 - 265*j**2. 3*j**2 Collect the terms in 28 - 3*o**3 - 60 + 4*o**3 + 3*o**3. 4*o**3 - 32 Collect the terms in -1255 + 139*z**2 + 2501 - 1246 - 135*z**2. 4*z**2 Collect the terms in -2 + 2*a + 1178*a**2 - 2*a + 1181*a**2 - 2356*a**2. 3*a**2 - 2 Collect the terms in -807*p**3 - 608*p**3 + 688*p**3. -727*p**3 Collect the terms in -6*k**3 - 4519380024 + 4519380024. -6*k**3 Collect the terms in -41488 + 41488 + 6*f. 6*f Collect the terms in -26*u**2 + 364*u**2 - 2135*u**2. -1797*u**2 Collect the terms in 31054729716*w - 31054729716*w + w**2. w**2 Collect the terms in -28 + 43 - 15 + 244*a**3. 244*a**3 Collect the terms in -23*d**3 + 169*d**3 + 3*d + 0*d - 3*d. 146*d**3 Collect the terms in -12 + 2 + h + 0 + 23*h. 24*h - 10 Collect the terms in 327*c**3 + 28*c**3 - 17*c**3 + 135*c**3. 473*c**3 Collect the terms in 143*y**3 + 58*y**3 + 499*y**3. 700*y**3 Collect the terms in 401 - 800 + 399 - 320*p**3. -320*p**3 Collect the terms in -893*f**2 + 5791*f + 3*f**3 - 5791*f. 3*f**3 - 893*f**2 Collect the terms in 9694*o**2 + 23697*o**2 + 1712*o**2. 35103*o**2 Collect the terms in 18050 - 3*h - 36336 + 18286. -3*h Collect the terms in -2980*y**2 - 446*y + 446*y. -2980*y**2 Collect the terms in 174*b**2 + 70*b**2 - 7*b**3 - 38*b**2 + 5*b**3. -2*b**3 + 206*b**2 Collect the terms in -20*y**2 - 109*y**2 + 11 - 6 - 5. -129*y**2 Collect the terms in 3*a**2 - 1 + 60*a + 16*a - 10*a**2. -7*a**2 + 76*a - 1 Collect the terms in 0*y**3 - 13*y**3 - 10*y**3 - 24*y**3 + 4*y**3. -43*y**3 Collect the terms in -10*v + 8*v - 13*v + 15*v - 103*v**2. -103*v**2 Collect the terms in 31134 + r + 45217 + 8737. r + 85088 Collect the terms in 1450*d**3 - 732*d**3 - 717*d**3. d**3 Collect the terms in -11*t**2 - 333 + 707 - 374. -11*t**2 Collect the terms in 1845*p**2 + 36*p - 36*p - 116*p**2. 1729*p**2 Collect the terms in 22181*q - 10995*q - 11015*q. 171*q Collect the terms in 4*o**2 - 1827067746 + 1827067746. 4*o**2 Collect the terms in 1611*y - 56 + 56. 1611*y Collect the terms in 1282*c**3 - 6*c + 11 - 11 + 6*c. 1282*c**3 Collect the terms in -22 - 14 - 26*l**2 + 36. -26*l**2 Collect the terms in 3*y**2 - 819114 - 819113 + 1638227. 3*y**2 Collect the terms in 28*k**3 + 440*k**3 - 1 + 1 + 104*k**3. 572*k**3 Collect the terms in 22*l - 12*l + 2*l + 4*l - 1 - 5*l. 11*l - 1 Collect the terms in -793*z**3 + 225*z**3 - 3297*z**3. -3865*z**3 Collect the terms in -120*q**3 + q**2 + 80*q**3 + 78*q - 78*q. -40*q**3 + q**2 Collect the terms in -32*g - 24*g + 83*g. 27*g Collect the terms in 396267684 - b**3 - 396267684. -b**3 Collect the terms in 17448*h**2 - 8723*h**2 - 8728*h**2. -3*h**2 Collect the terms in 5*m - 19*m + 9*m + 2*m + 9*m. 6*m Collect the terms in 1260*y**2 + 1238*y**2 - 2509*y**2. -11*y**2 Collect the terms in 1087366*k**2 - 2174719*k**2 + 1087363*k**2. 10*k**2 Collect the terms in -4109*x**3 + 3225 - 3225. -4109*x**3 Collect the terms in -66 - 634*y + 127 - 61. -634*y Collect the terms in 301*m - 85*m - 74*m - 73*m - 79*m. -10*m Collect the terms in -743*d - 507*d - 180*d - 82*d. -1512*d Collect the terms in -2865 - 2*h - h**2 + 2*h - 4133. -h**2 - 6998 Collect the terms in -2691*u + 922*u + 930*u + 850*u. 11*u Collect the terms in 1191*s**3 - 2232*s**3 + 1146*s**3. 105*s**3 Collect the terms in -3307 + 9941 - 3318 - 3310 - 39*b. -39*b + 6 Collect the terms in 40*o**3 + 111*o**3 + 28*o - 32*o. 151*o**3 - 4*o Collect the terms in 0*h**3 - 369*h**2 + 165*h**2 - 2*h**3 + 204*h**2 + 3*h**3. h**3 Collect the terms in 57*r + 266*r**2 - 138*r**2 - 136*r**2 - 57*r. -8*r**2 Collect the terms in -f**3 + 224*f**2 + 223*f**2 - 676*f**2 + 229*f**2. -f**3 Collect the terms in -219*j**3 + 22*j**3 - 51*j**3. -248*j**3 Collect the terms in -19655 + 19655 + 1615*h**2. 1615*h**2 Collect the terms in 42*w**3 - 339*w**3 - 146*w**3 + 42*w**3 - 175*w**3. -576*w**3 Collect the terms in -12*v + 0 + 42*v + 2 + 2*v. 32*v + 2 Collect the terms in 324*n - 324*n + 83*n**3 + 7*n**2 - 7*n**2. 83*n**3 Collect the terms in 603 + 570 + 569 + o - 1741. o + 1 Collect the terms in -6197*n**2 - 6394*n**2 + 12587*n**2. -4*n**2 Collect the terms in -65*g**3 + 24*g**3 + 17*g**3 + 22*g**3. -2*g**3 Collect the terms in -4*y + 20*y - 7*y - 4*y + 8*y. 13*y Collect the terms in 17*p - 7*p + 12 + 4*p**2 - 5*p - 2*p - 4*p. 4*p**2 - p + 12 Collect the terms in -248*p**3 - 6 - 4791*p + 4791*p. -248*p**3 - 6 Collect the terms in -5694 + 5694 + 3*s**2. 3*s**2 Collect the terms in -1018872*r - 1018864*r + 3056596*r - 1018864*r. -4*r Collect the terms in 5*f**2 - 1519424 + 1519424 - f**2. 4*f**2 Collect the terms in -8051 - 8*g**3 + 22*g**3 + 8051. 14*g**3 Collect the terms in 123*t**2 + 7195 - 5*t - 7195 - 2*t**3. -2*t**3 + 123*t**2 - 5*t Collect the terms in -19075 - 2*a**2 + 19075 + a**2. -a**2 Collect the terms in 11*h + 11*h + 167*h**3 - 201*h**3 - 22*h. -34*h**3 Collect the terms in 5818 - 5811 - 6*r**2 - 3*r**2. -9*r**2 + 7 Collect the terms in -491*o**3 + 253*o**3 - 520*o + 282*o**3 + 520*o. 44*o**3 Collect the terms in 2*h + 40*h - 49*h. -7*h Collect the terms in -47*w**2 - 761*w + 113*w**2 + 182*w**2 + 761*w. 248*w**2 Collect the terms in 98*u - 2*u**2 - 20*u**2 - 14 + 16 - 26*u. -22*u**2 + 72*u + 2 Collect the terms in 390560*u**2 - 3*u + 3*u - 390578*u**2. -18*u**2 Collect the terms in 29*o + 43*o + 38*o + 35*o - 70*o. 75*o Collect the terms in -430347*z + 4*z**2 + 6*z**2 + 430347*z + 8*z**2. 18*z**2 Collect the terms in -34*a**2 - 44*a**2 - 32*a**2 + 162*a**2 - 29*a**2. 23*a**2 Collect the terms in 5*p - 39 - 30 - 39 + 121 - 13. 5*p Collect the terms in 7*c**2 - 477 + 354 + 123. 7*c**2 Collect the terms in 408 - 132 - 137 - 138 + 15*g. 15*g + 1 Collect the terms in -124*s + 124*s + 40718*s**3. 40718*s**3 Collect the terms in -6145842*b + 6145842*b - 10*b**2. -10*b**2 Collect the terms in -27428*b + 13724*b + 13722*b. 18*b Collect the terms in 4 - 752*h**3 - 4 + 747*h**3. -5*h**3 Collect the terms in 64 + 25 + 4 + 7*f**2 - 32 + 42. 7*f**2 + 103 Collect the terms in d**2 - 9 + 2 + 6*d + 4. d**2 + 6*d - 3 Collect the terms in 2 + 4*x + 3*x + 0*x - 5*x + 3*x. 5*x + 2 Collect the terms in 7069078907 + 3*m - 7069078907. 3*m Collect the terms in 30 - 42*y + 0*y**2 - 24 + y**2. y**2 - 42*y + 6 Collect the terms in 257*c**3 - 370*c**3 + 106*c**3. -7*c**3 Collect the terms in 3*i**3 - i + i - 16185 + 16185. 3*i**3 Collect the terms in -16*h**2 + 8*h**2 + 6*h**2 - 117*h. -2*h**2 - 117*h Collect the terms in 876*v**3 - 292*v**3 - 292*v**3 - 50*v - 293*v**3. -v**3 - 50*v Collect the terms in 377*l**2 + 26*l**3 - 377*l**2 + 25*l**3 - 2. 51*l**3 - 2 Collect the terms in -t**2 - 4*t + 4*t - 3*t + 0*t - 2*t. -t**2 - 5*t Collect the terms in 52 + 54 + 30 - 3*o + 419. -3*o + 555 Collect the terms in 0 - 34*i**2 + 241*i**2 + 0. 207*i**2 Collect the terms in -26051*r**3 + 13088*r**3 + 13023*r**3. 60*r**3 Collect the terms in 1902844*v - 951476*v - 951365*v. 3*v Collect the terms in 87*b - 231*b + 76*b - 5 + 82*b. 14*b - 5 Collect the terms in 2719*i - 22711*i - 36400*i + 1. -56392*i + 1 Collect the terms in -38 + 43*r - 29 - 35 - 34 + 120. 43*r - 16 Collect the terms in 326757*v - 163335*v - 163422*v - v**3. -v**3 Collect the terms in -2*h**2 + 0*h**2 - 50*h**3 + h**2 + 3*h**2. -50*h**3 + 2*h**2 Collect the terms in 11*y**3 - 176*y**3 + 160*y**3 + 6*y**3. y**3 Collect the terms in 4*h**2 + h**2 + 90 + 47 - 137. 5*h**2 Collect the terms in 798*l**3 - 219*l + 219*l. 798*l**3 Collect the terms in 37 - 93 + 26 - 3*x + 30. -3*x Collect the terms in 55*o - 65*o + 24*o. 14*o Collect the terms in 66*l + 77*l + 24*l. 167*l Collect the terms in 10743*k**2 - 5279*k**2 - 5423*k**2 - 1. 41*k**2 - 1 Collect the terms in 64*r**2 - 34 + 56 - 24 + 25*r**2. 89*r**2 - 2 Collect the terms in -78*m**2 - 101*m**2 + 503*m**2 - 104*m**2 - 107*m**2 - 97*m**2. 16*m**2 Collect the terms in 193*z**2 - 327*z**2 - 150*z**2 - 917*z**2. -1201*z**2 Collect the terms in -1959*b - 6739*b - 4657*b. -13355*b Collect the terms in 17 + r**3 - 13 + 4 - 94*r**2 - 8. r**3 - 94*r**2 Collect the terms in 540*w**2 - 274*w**2 - 279*w**2 - 10. -13*w**2 - 10 Collect the terms in 318*y**2 - 311*y**3 + 315*y**
{ "pile_set_name": "DM Mathematics" }
q - 4*q + 92. Suppose 12*t + 4*d - 92 = 8*t, -4*t = 2*d - 82. Suppose q = 5*c - t. What is the units digit of c? 2 Let s(z) = z**2 - 8*z + 4. Let y(j) = j**2 - 13*j + 7. Let q be y(13). Let p be s(q). Let v(k) = -k**3 + 3*k - 3. What is the tens digit of v(p)? 1 Let h(t) = t**3 + 15*t**2 - 5*t. Let u be 3/24*-6 + 57/(-4). What is the tens digit of h(u)? 7 Let t = 1724 - 1058. What is the tens digit of t? 6 Suppose -128*l - 198432 = -164*l. What is the thousands digit of l? 5 Suppose k = -5*a - 0 + 7, -5*k + a = -61. Let d(y) = -23*y - k + 12. What is the tens digit of d(-1)? 2 Suppose -4*l + 78 + 22 = 0. Suppose -l*p + 24*p = -50. What is the tens digit of p? 5 Let a = -1426 - -2972. What is the tens digit of a? 4 Suppose -2*y = -4*p - 670 + 94, -577 = -2*y + 3*p. What is the hundreds digit of y? 2 Suppose -2*y + 6*y - v = -169, 212 = -5*y + 2*v. What is the units digit of ((-64)/6)/(28/y)? 6 Suppose -3368 = -14*c + 9*c + 2*v, 4*v = -3*c + 2000. What is the tens digit of c? 7 Suppose q = -5*w + 182, -q - 34 = w - 2*w. Suppose -40 = -p - 5*u + 2*u, -5*u = p - w. What is the units digit of p? 6 Suppose -31*q - 3*t - 8544 = -34*q, 4*q = 5*t + 11394. What is the hundreds digit of q? 8 Suppose 0 = z - 0*z - y - 1, -3*z + y = -3. Let d(u) = 3*u**2 + 2*u - 1. Let x be d(z). Suppose 67 + 1 = x*q. What is the tens digit of q? 1 Let u(g) = -69*g + 6. Let a = -10 - -9. What is the tens digit of u(a)? 7 Suppose -2*r - 2*v - 2*v + 112 = 0, 0 = -5*r - 5*v + 265. What is the units digit of r? 0 Suppose 3*w - 126 = 3*b, -5*w + 3*b + 159 = -57. What is the tens digit of w? 4 Let l be -26 - -30 - (0 - (-2)/2). What is the tens digit of 18 - -47 - 1/(l + -2)? 6 Suppose 3*w = j - 10, 18 = 2*j - w - 4*w. Let c be 15*j/12*4. What is the units digit of c/8 + (-3)/6? 2 Let t be (14/(-2) - -6) + 2/2. Suppose w + 352 = 4*w - 2*l, -3*l + 12 = t. What is the hundreds digit of w? 1 Suppose -2*q + 1268 = 2*h, -12*h + 14*h - 3*q - 1258 = 0. What is the tens digit of h? 3 Let d = 19 - -9. Let n be (-6)/(-14) - (-128)/d. Suppose -9*p + 240 = -n*p. What is the units digit of p? 0 Let g(j) be the third derivative of -3*j**6/20 + j**5/60 - j**4/8 - j**3/6 - 7*j**2. What is the units digit of g(-2)? 3 Let d(u) be the third derivative of -u**5/60 - 7*u**4/8 + 4*u**3/3 - 3*u**2. What is the units digit of d(-20)? 8 Let b = -81 - -84. Suppose -y + 11 + b = -2*s, 0 = y + 5*s - 28. What is the units digit of y? 8 Suppose -5*c - 5*w = -230, c = 4*w + w + 46. What is the units digit of c + -3 + -4 + 3? 2 Let c = 155 - -19. Suppose 4*t - c = -2*t. Let u = 31 - t. What is the units digit of u? 2 Let t(h) = -h**3 + 2*h**2 + 6*h - 2. Suppose 8*i - 10 = 10*i. What is the units digit of t(i)? 3 Suppose 2*b = 289 - 31. Suppose b = 2*f - 11. Let p = f + -44. What is the units digit of p? 6 Suppose 95444 + 99346 = 43*k. What is the hundreds digit of k? 5 What is the tens digit of 9576/392 - 4/14*-2? 2 Suppose 3*f + 3013 = t, t - 1476 = 2*f + 1542. What is the units digit of t? 8 Let u(w) = 3*w**2 - 11*w - 13. Let s be u(9). Let k be (-4)/(-18) + 129/27. Suppose s + 14 = k*p. What is the units digit of p? 9 Let u(y) = -y**2 - 4*y + 1. Let x be u(-3). Let v(g) = -5*g + 2. Let c be v(-9). Suppose -5*s + 51 = -4*k - c, x*s + 3*k = 66. What is the units digit of s? 8 Suppose 6*j - 535 = j. Let k = -64 + j. What is the tens digit of k? 4 Suppose 4*m = 4*w + 256, -4*m + 212 = -m + w. Suppose -5*d + 2*d + m = 0. Suppose l = d + 27. What is the units digit of l? 0 Let v be (2 + -6)*((-10)/(-4) - 4). Suppose v*z + 394 - 1540 = 0. What is the hundreds digit of z? 1 Suppose -4*i = -u + 168, -u = -2*u + 2*i + 170. What is the hundreds digit of u? 1 Suppose k + 13*y - 10*y = -20, 2*y - 2 = 0. Let v(j) = -j**2 - 38*j - 21. What is the tens digit of v(k)? 2 Suppose -14*j = 4*b - 9*j - 9438, -4*j - 8 = 0. What is the hundreds digit of b? 3 Let f = -339 - -478. Let p = f - 82. What is the tens digit of p? 5 Let c = 1510 - 535. What is the tens digit of c? 7 Suppose -154*m + 155*m = 937. What is the tens digit of m? 3 Suppose z + 1988 = 2*i, z = 6*z. What is the hundreds digit of i? 9 Let a(c) = 4*c**3 + 12*c**2 - 6*c - 19. Let i(h) = 2*h**3 + 6*h**2 - 3*h - 10. Let y(u) = 3*a(u) - 5*i(u). What is the units digit of y(3)? 2 Let f(a) be the third derivative of a**5/60 - 7*a**4/24 - 17*a**3/6 - 4*a**2. What is the units digit of f(9)? 1 Let j = 378 - -219. Suppose 3*z - 30 = j. What is the units digit of z? 9 What is the hundreds digit of (-36 - 1 - -2)*(-57 - 18)? 6 Let h(r) = r**2 - r + 33. What is the units digit of h(5)? 3 Suppose -19*s + 6170 = -7282. What is the tens digit of s? 0 Let g be 6/(-33) + 2920/88. Suppose 1 = r - 2*s - g, -5*r = -4*s - 194. What is the tens digit of r? 4 Let m(b) = 4 - 5 + 2 + 5*b - b. Let f be m(1). Let u(i) = i**2 + 3*i + 2. What is the units digit of u(f)? 2 Let z(o) = 44*o + 2. Let r be z(1). Let u = r + 15. What is the units digit of u? 1 Let n(j) be the third derivative of -1/8*j**4 + 5*j**2 + 0 + 0*j - 10/3*j**3. What is the units digit of n(-9)? 7 Let j = -1 + 4. Suppose 3*h - 2*l - l = j, 4 = 4*h + 5*l. What is the units digit of 1*(-3 - -5 - h)? 1 Let r = 1014 - 726. What is the units digit of r? 8 Let v = -15 - -15. Suppose v = 6*u - 4*u - 264. What is the units digit of (u/16)/(6/16)? 2 Suppose -2*i + 3*b + 16 = 0, 2*b - 16 = i - 3*i. Let d(f) = 3*f + 15. What is the tens digit of d(i)? 3 Let d be 60*((-14)/(-2) - 2). Let g be (d/(-70))/((-2)/28). Suppose n - g = -3*n. What is the tens digit of n? 1 Let n(g) = g**3 + 8*g**2 + 6*g + 5. Let s be n(-7). Let v be (-4)/(-6) + 64/s. Let a(h) = h**2 - 7*h + 7. What is the units digit of a(v)? 1 Suppose 0 = -10*p + 33 + 7. Suppose a = -1 + 5. Suppose a*d + p*u - 168 = -0, -d + 42 = 3*u. What is the units digit of d? 2 Suppose 4*q = c - 3785, -2*q + 0 = 6. What is the units digit of c? 3 Suppose 1137*g - 1136*g = 303. What is the tens digit of g? 0 Let g = 1203 + 579. What is the hundreds digit of g? 7 Let h(p) = -p**2 - 12*p - 10. Let a be h(-13). Let f = a - -23. Suppose k - 1 = -f. What is the units digit of k? 1 Suppose 2*u + 525 = -3*j + 4*j, 4*j - 4*u - 2116 = 0. What is the hundreds digit of j? 5 Suppose 2*m - j = m + 15, 0 = -m + 3*j + 25. What is the tens digit of m/4*(0 - -30)? 7 Let o(i) = -i**3 + 18*i**2 + 20*i - 9. Let j be o(19). Suppose j*p = 13*p - 96. What is the tens digit of p? 3 Let c(m) = 745*m - 326. What is the units digit of c(4)? 4 Let i = -14 + 13. Let x(g) = -52*g**3 - g**2 - g. Let q be x(i). Suppose 3*y + 292 = 4*h + q, 0 = h - 4*y - 47. What is the tens digit of h? 6 Suppose s = 5*s + 232. Let q be ((-3)/(-2))/((-63)/(-3486)). Let f = s + q. What is the tens digit of f? 2 Suppose -5*k + 308 = -3*i, 6*i - i - 340 = -5*k. Let n = 43 - k. What is the tens digit of n/(4 + -1)*-4? 2 What is the units digit of ((-10)/70*30)/((-1)/91)? 0 Let q be 2 + -4 - 32/(-4). Let m(x) = x + 20 - x + 5*x - q*x. What is the tens digit of m(0)? 2 Suppose -3*o = 5*t - 2*o - 56, -3*t = -2*o - 44. Let b = t - 19. Let s = -3 - b. What is the units digit of s? 4 Let i = 3850 - 1454. What is the thousands digit of i? 2 Suppose -6*d = -3*d - 4*n - 31, -2*n = 3*d - 25. Suppose -9 = -3*h, 2*g + 6*h - d*h - 95 = 0. What is the units digit of g? 2 Suppose -2*k + 2*f = -7*k - 39, 0 = 2*k - 3*f + 8. Let g be (k - -3)/(4/6). What is the tens digit of (g/10)/(11/(-275))? 1 Let a = 0 + 2. Let n(w) = 137*w + 6. Let h be n(a). Suppose 0*g = 5*g - h. What is the units digit of g? 6 Suppose -3*r - 30 = -5*r. Suppose r*h = 18*h - 237. What is the tens digit of h? 7 Let c = -67 - -71. What is the tens digit of 1015/21 - c/(-6)? 4 Let b be -8*3/(-6) - 5. Let g be 246 + 7 + 1 + b. Suppose 5*f - 87 = g. What is the tens digit of f? 6 Let c = -14 - -14. Suppose c = -3*s + 5*z + 149, 0 = 4*s + s + 3*z - 237. Suppose 2*i - 3*i = -a - s, 3*i - 5*a - 136 = 0. What is the units digit of i? 2 Suppose -2*c = -4*r - 5060, -r - 1036 + 11192 = 4*c. What is the hundreds digit of c? 5 Suppose -4*h = -63 - 13. Suppose 9*a - 6*a = 45. Suppose a*y = h*y - 224. What is the units digit of y? 6 What is the units digit of 5 - (3184/6)/8*-3? 4 Let y be (-27 - (1 + 0)) + (5 - 5). Let n = 14 - y. What is the tens digit of n? 4 Let i = 907 - 315. What is the units
{ "pile_set_name": "DM Mathematics" }
30) + sqrt(3630) + sqrt(3630) - sqrt(3630))*-6)/(-4*-2*sqrt(1000)). -33*sqrt(3)/40 Simplify (-5*-2*(sqrt(108)/sqrt(4) - sqrt(27)))/((sqrt(81) + sqrt(81) + (sqrt(81) - -6*1*sqrt(81)))/sqrt(9)). 0 Simplify (sqrt(832) - (sqrt(832) + 0))**2 + sqrt(468) + (sqrt(468) - sqrt(468)*-1) - (5*sqrt(91)*1 + sqrt(91))/sqrt(7). 12*sqrt(13) Simplify (-4*1*sqrt(3300) + sqrt(3300))/(sqrt(99)/(sqrt(45)/sqrt(5)*5)). -150*sqrt(3) Simplify (sqrt(140)/(sqrt(1008)*-1))/(sqrt(120)/(sqrt(24)/sqrt(2))*1). -sqrt(2)/12 Simplify (6*(sqrt(119) - 2*sqrt(119)) - (-2*sqrt(119) - sqrt(119) - sqrt(119))*2)/((sqrt(252) - -3*sqrt(252)*2) + sqrt(252) + sqrt(252)). sqrt(17)/27 Simplify (-5 + (5*(-2 + sqrt(891)) - sqrt(891))*2 + 5)**2. -2880*sqrt(11) + 57424 Simplify -6*sqrt(350)/(sqrt(21)/sqrt(3)) + 5. -30*sqrt(2) + 5 Simplify ((((-2 + sqrt(1088))*3 - sqrt(1088)) + 2 + sqrt(1088) + -4)*-2)**2. -1536*sqrt(17) + 39424 Simplify (sqrt(171) + sqrt(171)*2)/sqrt(9) - (2 + sqrt(2299)) - (sqrt(304)/sqrt(8)*5)/sqrt(2). -13*sqrt(19) - 2 Simplify (((sqrt(270) + (sqrt(270)*2 + sqrt(270))*2 + sqrt(270))/sqrt(9))/((sqrt(126)/sqrt(3))/sqrt(7)*-5))**2. 64/5 Simplify -5 + (sqrt(121)/(sqrt(132)/(sqrt(24)/sqrt(2))) + 5)**2 + 4. 10*sqrt(11) + 35 Simplify -3*sqrt(6)/(sqrt(288) + (3*sqrt(288) + sqrt(288) - sqrt(288)) - sqrt(2))*-4. 12*sqrt(3)/47 Simplify (-3*(2*sqrt(77)*5 - sqrt(77)))/(-2*sqrt(1008) - (sqrt(567) + -2*sqrt(567))). 9*sqrt(11)/5 Simplify (4*(-4 + 0 + (sqrt(112) + -1 - sqrt(7)))*-2)**2. -1920*sqrt(7) + 5632 Simplify (-2 + -1*sqrt(396) - sqrt(396) - (0 + -1 + sqrt(396) + sqrt(396)) - ((sqrt(396) - (4 + sqrt(396) + -1))*-3)**2) + 4. -24*sqrt(11) - 78 Simplify 1*(sqrt(162) + -4 + 0 - (sqrt(162) + sqrt(162) + (sqrt(162) - (1 + sqrt(162) - sqrt(162) - sqrt(162)))*-3))**2. -630*sqrt(2) + 4099 Simplify 6*(-2 + sqrt(17) + 0)**2 - (4 + (sqrt(153)*2)**2 + sqrt(153)). -490 - 27*sqrt(17) Simplify (-3 + (1*sqrt(768) - (sqrt(108)/(sqrt(63)/sqrt(7)) - sqrt(12))) + 5)**2. 64*sqrt(3) + 772 Simplify (sqrt(304) + 0)*1 - ((-1 + sqrt(19))*3 + 1). 2 + sqrt(19) Simplify (3*(-3 + 0 + sqrt(288) + sqrt(288)*-2 + 0 + sqrt(288)))**2. 81 Simplify (1 + -3*sqrt(192) + 3 + -3)**2. -48*sqrt(3) + 1729 Simplify ((sqrt(91)*-1 - sqrt(91))*-6 + -2*(sqrt(91) + sqrt(91)*-2))/(sqrt(343) + 2*sqrt(343)*2). 2*sqrt(13)/5 Simplify ((sqrt(19)*-1 + -1)**2 + (sqrt(2736) + -5 - sqrt(19)))*-6. -78*sqrt(19) - 90 Simplify (((sqrt(133) + sqrt(133)*-2)*2*3)/(-2*sqrt(28) - -1*sqrt(448)))**2*6. 513/2 Simplify (sqrt(252)*5 - sqrt(28))/(sqrt(36)/(sqrt(9)*-4 - sqrt(9))). -70*sqrt(7) Simplify (-1 + (1 + sqrt(147) - sqrt(147))**2 - sqrt(147)) + 3 + sqrt(147)*3 + -3. 14*sqrt(3) Simplify -5*(2*sqrt(156))/sqrt(12) + 5 + sqrt(13) + -1 + -1. -9*sqrt(13) + 3 Simplify -6*(sqrt(98) + 3) + sqrt(98) - (((sqrt(128) + 2)**2 - sqrt(128)) + -1). -149 - 59*sqrt(2) Simplify -6*((-5*((sqrt(475) - (sqrt(475) + 0)) + sqrt(19)) + 0)**2 + -3)*-3. 8496 Simplify 4*(((1*sqrt(1573))**2 - sqrt(13)) + (-3*sqrt(26))/sqrt(2)). -16*sqrt(13) + 6292 Simplify -3 + ((sqrt(24) + (-1*sqrt(24) + sqrt(24) - sqrt(24)))*2)/(sqrt(88)/(sqrt(11) + (sqrt(11) - sqrt(11)*1) + sqrt(11))). -3 Simplify ((sqrt(136) + (-3*2*sqrt(136) - sqrt(136)) - sqrt(136))/(-3*sqrt(128) + sqrt(128) + sqrt(128))*-1)**2. 833/16 Simplify -1 + 4 + (sqrt(132)/sqrt(108) - (sqrt(1100) + 1)) + 1. -29*sqrt(11)/3 + 3 Simplify (((-1*sqrt(561))/sqrt(11))/(sqrt(12)/sqrt(4)*2) + 5)**2. -5*sqrt(17) + 117/4 Simplify (sqrt(13) - (sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2) - sqrt(1300)))**2 - ((sqrt(26)/sqrt(2) - sqrt(13)) + -2) - 6*6*-4*sqrt(13). 144*sqrt(13) + 12495 Simplify ((sqrt(108) + 2)*-1 + 2)*4. -24*sqrt(3) Simplify ((sqrt(153) - (sqrt(153) + (-3*sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153)))/sqrt(3) - sqrt(51))/(sqrt(192) + sqrt(192)*1 + sqrt(192))*-5. -5*sqrt(17)/24 Simplify (-5 + sqrt(25)/sqrt(5) - (sqrt(125) + 0)) + -1*((sqrt(5) - sqrt(5)*2) + 2 - sqrt(5) - sqrt(5)). -7 - sqrt(5) Simplify (-3*(sqrt(18) + sqrt(162) + sqrt(18)))/(sqrt(54)/(-1*sqrt(9))) + -4. -4 + 15*sqrt(3) Simplify -2*sqrt(132)/(sqrt(12) - (sqrt(144)*-1)/sqrt(12)) + (sqrt(44) + -6*sqrt(88)/sqrt(2))/((-1*sqrt(64) - sqrt(64)) + sqrt(64) + sqrt(64) - sqrt(64)). sqrt(11)/4 Simplify 5*((sqrt(475) - -2*2*sqrt(475)) + (sqrt(475) - (-1*(sqrt(475) + 1))**2))*5*-4. -2000*sqrt(19) + 47600 Simplify 2 + 3*sqrt(605) + sqrt(15)/sqrt(3)*5. 2 + 38*sqrt(5) Simplify (sqrt(35) + sqrt(350)/(sqrt(30)/sqrt(3)) + (sqrt(2240) - sqrt(2240)*2 - sqrt(2240)))/(sqrt(56)/(sqrt(16)/sqrt(2))*5). -14*sqrt(5)/5 Simplify ((-3 + sqrt(98)*-1)*-1*-5)**2. 1050*sqrt(2) + 2675 Simplify (-5 + (sqrt(76) + sqrt(76) + 1 - sqrt(76)) + 4 - (3 + sqrt(76)/sqrt(4) + -2)*3)**2. 6*sqrt(19) + 28 Simplify (5 + 1 + sqrt(208) - (-5 + sqrt(13) + 2*sqrt(13)*2))**2*2. -44*sqrt(13) + 268 Simplify sqrt(20)*4 + 2 + 4 + ((5*(sqrt(120)/sqrt(2) + sqrt(60)))/(1*sqrt(768)))**2. 221/16 + 8*sqrt(5) Simplify (((1 + sqrt(153) + 4 + sqrt(153) + sqrt(153))**2 - (-5 + sqrt(153)*-5)) + 2)*-1. -1409 - 105*sqrt(17) Simplify 1*(2*sqrt(2450)*2 + sqrt(2450))/((sqrt(10) - (sqrt(110)*-2)/sqrt(11))*2). 35*sqrt(5)/6 Simplify 5 + (5*1*sqrt(88) + sqrt(88) - sqrt(88))/(sqrt(32)/(sqrt(4)*-1)) + 4. -5*sqrt(11) + 9 Simplify ((sqrt(2744) + sqrt(2744)*-1 + sqrt(2744))/(sqrt(48)/(sqrt(6) + sqrt(24)/sqrt(4))) + 1)**2 + 3. 28*sqrt(7) + 1376 Simplify (sqrt(891) + 0 + sqrt(891))**2 + (sqrt(11)*-3)**2*5 - (sqrt(275)*-3 - ((sqrt(11) - 2*(sqrt(11) - sqrt(22)/sqrt(2))) + sqrt(11) - sqrt(11))). 16*sqrt(11) + 4059 Simplify 3*((sqrt(425) - sqrt(425)*-1)*2 + 6*(1 + sqrt(17))**2 + ((0 + sqrt(17))**2 - sqrt(17))*4). 84*sqrt(17) + 528 Simplify (sqrt(336)*2 + sqrt(336) - (sqrt(21) + sqrt(336)*3))/(((sqrt(75)*-3 + sqrt(75) - sqrt(75)) + sqrt(75))*-4). -sqrt(7)/40 Simplify (-1*4*(sqrt(117) + 0))**2 + 3. 1875 Simplify (0 + sqrt(425))*-3 + (sqrt(425) + 0)*-2 - (2*(sqrt(425) + 0 + sqrt(425)))**2*2. -13600 - 25*sqrt(17) Simplify -3*(sqrt(76) + -1) + -5 + 1*(0 + sqrt(1539) + 0). -2 + 3*sqrt(19) Simplify -1 + -5*(-1*(sqrt(12) - sqrt(48))/sqrt(4))**2*1. -16 Simplify (1*(4*sqrt(1815))/((sqrt(25) + sqrt(25) + sqrt(25) + sqrt(250)/sqrt(10))/sqrt(5)))**2. 363 Simplify ((-2 + -3 + sqrt(2))**2 - (sqrt(32) + 0))*1. -14*sqrt(2) + 27 Simplify (-5*sqrt(891)*2 - ((-6*sqrt(1331)*2)**2 + sqrt(1331))) + 4. -191660 - 101*sqrt(11) Simplify (sqrt(125) - (-2*sqrt(125) + sqrt(125))*1 - (4 + (sqrt(125)*1)**2)) + -2 + 1. -130 + 10*sqrt(5) Simplify 4*(sqrt(5) - ((sqrt(40)*-1)/sqrt(8))**2 - sqrt(5)) + (sqrt(270) + -2*sqrt(270) - sqrt(30) - sqrt(30))/sqrt(6) + 1. -19 - 5*sqrt(5) Simplify (5*(sqrt(35) - sqrt(315))*-6)/((-1*sqrt(45) - sqrt(5))*-2). 15*sqrt(7)/2 Simplify (sqrt(112)/(1*sqrt(2)) + sqrt(504)/sqrt(36))/(2*sqrt(392)*6). sqrt(7)/56 Simplify -5 + (5*sqrt(120)/sqrt(3))/((sqrt(8) + sqrt(16)/sqrt(2))*1). -5 + 5*sqrt(5)/2 Simplify (sqrt(9)*-5*3)/(-4*sqrt(3)*-5). -3*sqrt(3)/4 Simplify (sqrt(272) + (1 + sqrt(272))*4 - (sqrt(272)*3 + sqrt(272) + sqrt(272) + -5))**2. 81 Simplify (4*(sqrt(130) - (sqrt(130) + (sqrt(130) - -2*sqrt(130)) - sqrt(130)))*-5)/(sqrt(160)*-2*1). -5*sqrt(13) Simplify (3*(sqrt(110) - (sqrt(110) + 1*sqrt(110) + sqrt(110))*4))/((sqrt(60) + sqrt(360)/(-1*sqrt(6) - sqrt(6)))/sqrt(6)). -66*sqrt(11) Simplify (-4*(sqrt(2) + sqrt(12)/sqrt(6))*-6 - (sqrt(2)*2 + -4 + 4))**2. 4232 Simplify -1 + sqrt(1300) + sqrt(1300) + 6*sqrt(13)*1 - (1*sqrt(637) + -1)**2. -639 + 40*sqrt(13) Simplify (-3*sqrt(128)*-3*-6 + -2*sqrt(128) + -5 + 1)**2. 3584*sqrt(2) + 401424 Simplify (6*(sqrt(2299) - (sqrt(2299) - sqrt(2299)*-1)*-5))**2*1. 10014444 Simplify 2*(sqrt(2800) + sqrt(2800)*1)/(sqrt(4) + sqrt(12)/(sqrt(3) + (sqrt(3) - sqrt(3)*-2) - sqrt(3) - sqrt(3)) + sqrt(4)). 16*sqrt(7) Simplify (-1*(-3 + (-1 + sqrt(1216))*6 + sqrt(1216) - ((-2*sqrt(1216) + -3 - sqrt(1216)) + sqrt(1216) + sqrt(1216) + 3 + 1*sqrt(1216))))**2. -1008*sqrt(19) + 59665 Simplify 4 + (-4 + (sqrt(320) - (sqrt(320)*-2 + -4) - sqrt(320)))**2. 1284 Simplify (sqrt(228) - ((-4*sqrt(228) + sqrt(228))*2 - sqrt(228)))/(sqrt(60)/sqrt(80)). 32*sqrt(19) Simplify (-2 + (2 + 1 + sqrt(425) - sqrt(425) - (1*sqrt(425)*-3 + sqrt(425))))**2. 20*sqrt(17) + 1701 Simplify ((sqrt(475) + -4)*-6 + -1*(-2 + sqrt(76)))**2. -1664*sqrt(19) + 20132 Simplify ((-3 + sqrt(833) - sqrt(833))*6)**2 + 1 + -3 + ((sqrt(833) - (sqrt(833) - (sqrt(833)*4 + sqrt(833))*5)
{ "pile_set_name": "DM Mathematics" }
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive. n**(-377/12) Simplify (a*a**2)**35*(a**4)**18 assuming a is positive. a**177 Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive. n**(-21/143) Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming v is positive. v**(-140/11223) Simplify ((i*i**(5/4))/i*i*i**(-16)/i)/(((i*i/i**8*i*i)/i)/i)**(-46) assuming i is positive. i**(-1163/4) Simplify (y**(2/61)*y)/y*y**(-5/4)*y*y*y**(-1/13)*y**(-14) assuming y is positive. y**(-42169/3172) Simplify ((r**(1/2)*r)**(-2/5)*(r/(r**(-1/14)/r))/(r/(r/(r*r**(-8/5)))))**(-1/21) assuming r is positive. r**(-29/294) Simplify ((f/f**(-25))/((f*f/(f/((f**3*f)/f*f)))/f*f*f*f*f))/((f**5*f)/(f**24*f)) assuming f is positive. f**37 Simplify ((h/(h/h**(-9)))**(-2/37))**17 assuming h is positive. h**(306/37) Simplify (q**(-5))**(-9)/(q**(-14)/(q**(-2)/q)) assuming q is positive. q**56 Simplify (((y**3*y)/y)/(y**(-27)*y))/(y**(9/8))**(-3/2) assuming y is positive. y**(491/16) Simplify (((r**(-18)*r)/r**(-3/7))**26)**27 assuming r is positive. r**(-81432/7) Simplify i**(-13/2)/(i*i**(-34))*(i/(i*i**(-2)*i*i))/i**(-1/4) assuming i is positive. i**(107/4) Simplify ((u**12/((u*(u/(u*u/(u/((u/u**(1/7))/u))))/u*u)/u))**(9/2))**(-4/23) assuming u is positive. u**(-1494/161) Simplify ((g**(2/7))**(-30/13)/((g**(-1/7)/g)/(g*g*g/g**5*g)))**(-1/20) assuming g is positive. g**(47/1820) Simplify ((k*k/(k/(k**(6/11)/k)*k)*k)**(-2/93))**(-45) assuming k is positive. k**(180/341) Simplify (t/t**(-4/9))**(19/6)*(t**(1/9))**25 assuming t is positive. t**(397/54) Simplify b**(4/5)/(b*b/(b/(b**11/b*b)))*b*b**(-5/4)*b**(-3)/b assuming b is positive. b**(-309/20) Simplify (z*z**(-7))/(z*z/((z*z**9)/z))*z/(z/(z*z**(-1)))*z**(1/2) assuming z is positive. z**(3/2) Simplify (q/(q/(((q*q**(-1)/q)/q)/q)))/((q/(q**(-2/19)*q))/q)*(q/q**(-12))/q*q**(-7) assuming q is positive. q**(55/19) Simplify (w*(w*w**(-3/8)/w*w)/w)/w**12*(w/w**(-1/2))/((w**(2/17)*w)/w) assuming w is positive. w**(-1359/136) Simplify ((s**5*s)/(s**(-1/4)/s*s*s))/(s*s**12/s*s/s**(-6)*s) assuming s is positive. s**(-59/4) Simplify (((y/(y/((y**(1/3)*y)/y)*y))/y)**(-7/10)*(y**3)**40)**(2/97) assuming y is positive. y**(727/291) Simplify ((q*q/(q**(-5)*q)*q**(-2/17)*q)/((q*q**5)/(q/(q*q**(3/2)*q*q))))**(28/5) assuming q is positive. q**(-1246/85) Simplify (q**18/q*q**(-9))/(q/(q*q/(q*q**(-3/10)*q)))**(4/9) assuming q is positive. q**(346/45) Simplify (m**(-5/3)*m*m/(m*m**(-5)*m))/(m/(m*m*(m/(m*(m/((((m*m**1*m)/m)/m)/m))/m))/m*m))**(-6) assuming m is positive. m**(-8/3) Simplify a**(-4)*a/a**(-23)*((a/a**(-9))/a)**(-16) assuming a is positive. a**(-124) Simplify (((c/c**(-1))/c)**(1/80)/(c**0*c)**(-7))**(-13) assuming c is positive. c**(-7293/80) Simplify (p**(1/7)*p)**(-2/37)/((p/(p**(-3/2)*p))/p**(-6)) assuming p is positive. p**(-3917/518) Simplify (((a/((a/a**9)/a*a))/(a/(a**2/a)))**44)**(-3) assuming a is positive. a**(-1188) Simplify ((w**(-5)/(w/(w/(w*w**(-1/2)))))**(2/63))**16 assuming w is positive. w**(-176/63) Simplify m**16*m/(m**(-2/35)*m)*(m*m*m**24)/m*m/m**(11/7) assuming m is positive. m**(1417/35) Simplify ((w*w/((w/(w/(w**(-7)/w)))/w))/w*w*w*((w/((w*w**(-3)/w)/w))/w*w)/w*w/w**(2/13)*w/(w*(w/(w*(w**(2/7)*w)/w))/w))**(-9) assuming w is positive. w**(-14850/91) Simplify (((u/u**3)/u)/(u**(-3/7)*u)*(((u*u/(u/(u*u**(-8))))/u)/u)/((u**(-1/4)*u)/u*u))**(1/24) assuming u is positive. u**(-115/224) Simplify (s*(s**(-24)*s)/s*s*s*s**(-7/5))/(((s**(1/10)*s)/s)/(s**(3/5)*s)) assuming s is positive. s**(-209/10) Simplify (y**(-10/9)*y/y**(-32))**24 assuming y is positive. y**(2296/3) Simplify ((u/(u*u*u/(u**6*u)))/u*u/(((u*u**(4/5))/u)/u)*u*u**(3/4)/((u**(1/3)*u)/u))**(-9) assuming u is positive. u**(-1191/20) Simplify (p/(p*p*p**(-1)))**(-3/17)*p**0/(p**(-14)*p) assuming p is positive. p**13 Simplify y**14*y*y*y**(2/7)*(y/y**(-16)*y)/(y/y**0) assuming y is positive. y**(233/7) Simplify (f**(-4))**40/(f*f**(-14)*f**(2/17)) assuming f is positive. f**(-2501/17) Simplify (m/m**0)**40*(m*m**(-4)*m*m*m*m)**(-44) assuming m is positive. m**(-4) Simplify (b**12/b**(2/5))/(b/(b*b**(-1/12))*b**(-11)*b) assuming b is positive. b**(1291/60) Simplify l**5/(l*l**6*l)*(l*(l*l*l**(-1/5))/l)/l*l**19 assuming l is positive. l**(84/5) Simplify ((m*(m/m**(-19))/m)/m**(-2/37))/(m**(-32)*m**(-24)) assuming m is positive. m**(2814/37) Simplify (i**(1/21)/(i*i*i*i*(i**(-1/13)*i*i)/i))/(i**(-2/19)*i*i**19*i) assuming i is positive. i**(-133670/5187) Simplify (v**(-2)*v)**(-9/2)*v**(1/10)*v*v**(-7)/v*v assuming v is positive. v**(-7/5) Simplify ((y*y**(4/5)*y)/y**(-3/11)*y**8/(y**(-7)/y*y))**(2/11) assuming y is positive. y**(1988/605) Simplify (b/(b/b**20*b)*b)/(b**(2/27)/b*b)*b**(-14)/b**(-17) assuming b is positive. b**(619/27) Simplify ((((r**0/r)/r)/r)/r)**(-46)/(r**(-9)/(r/(r/(r/r**(-3/4)*r)))) assuming r is positive. r**(783/4) Simplify ((g*(g/((g/(g*g/((g*g**10*g*g*g)/g)))/g))/g*g)/g*g**(-3)/g*g)/((g*g**(1/3)/g)/g*g**(-13)) assuming g is positive. g**(2/3) Simplify f*f/f**(-15)*((f/f**9)/f)/f*(f/f**(-3))/f**3 assuming f is positive. f**8 Simplify (((y**(3/5))**(-46))**(15/7))**(-28/9) assuming y is positive. y**184 Simplify (d/(d*(d*d**14)/d)*d**(-1))/(d**(2/3)/d**(-13)) assuming d is positive. d**(-86/3) Simplify ((x**(2/11)/x)/x**(-26))/(x/(x/(x/(x**(-4/3)/x))*x))**39 assuming x is positive. x**(-724/11) Simplify (k**(2/9))**(-13)/(k/((k*k**(-2)/k*k*k*k)/k))**(-25) assuming k is positive. k**(199/9) Simplify (d**(-2)/d)**(-26)/(d**(-14)/((((d*d**(-3/14)/d*d)/d)/d*d*d)/d*d)) assuming d is positive. d**(1299/14) Simplify (h**40/(h*h*h*h*h/(h*h*h**(-2/5))*h))**(-18) assuming h is positive. h**(-3204/5) Simplify (f**(-22)*f)/(f*f*(f/f**(-4/9))/f)*f**(-4/13)/(f/((f*f*f**(2/7))/f)) assuming f is positive. f**(-19219/819) Simplify ((h**(-9/4))**31)**(28/9) assuming h is positive. h**(-217) Simplify x**(1/20)*x*x*x/(x*x**(-1/6))*x**(-3)/(x*(x/(((x/x**12*x)/x*x)/x))/x) assuming x is positive. x**(-767/60) Simplify ((r*r/((r*r*r**(-4))/r))/r*r/(r*r/r**(2/11))*(r**(-3/5)/r)/(r/(r**(-5)/r)))**(-2/145) assuming r is positive. r**(596/7975) Simplify ((i/i**11)/i*i**5*i*i**(-4)*i*i*i**(1/9))**34 assuming i is positive. i**(-2108/9) Simplify ((h**(-4/11)*h)/(h*h/(h**(1/14)/h)*h*h))/(h*h**8*h*h**(-18/5)) assuming h is positive. h**(-8233/770) Simplify o**(1/6)*o/(o**(-12)/o)*o*(o**(-2/9))**17 assuming o is positive. o**(205/18) Simplify (k**(-2/17)/k*k)/(k*k*k*k*k*k**(-24)*k*k)*k*k**15*(k*(k*k**(-22))/k)/k assuming k is positive. k**(185/17) Simplify (r**(-2/7))**46*(r**(-2/13))**22 assuming r is positive. r**(-1504/91) Simplify (((x**(2/7))**(-20))**(-48))**27 assuming x is positive. x**(51840/7) Simplify (m**(-3/8))**(-6)*(m*m**(-8/5)*m)/(m**(-1/3)*m*m) assuming m is positive. m**(59/60) Simplify a**(-27)*a**6*a**(-19)/a*a*a**(1/12) assuming a is positive. a**(-479/12) Simplify (i/(i**(2/3)*i)*i*i**(-37))**(-41) assuming i is positive. i**(4510/3) Simplify (b*(b*b*b*b*b/(b*b/(b**(3/14)/b*b)*b)*b)/b*b)/b**(1/4)*b/b**(-13)*(b/b**(-1/12)*b)/b assuming b is positive. b**(400/21) Simplify ((a/(a/(a*(a/(a*a**0/a))/a)))/a)**(9/4)*a**(-7/6)*a**10 assuming a is positive. a**(53/6) Simplify ((o**(1/2)/(o**(2/7)/o))/(o**4*o**(-2/3)/o*o))**(-1/10) assuming o is positive. o**(89/420) Simplify (x*x**(1/2))**(-2/9)/(((x*x*(x*x*((x*x/x**(-5)*x*x)/x)/x)/x*x*x)/x)/(x**(3/11)/x)) assuming x is positive. x**(-398/33) Simplify (p/(p/(p**(-10)/p))*p**24*p)**(-17/5) assuming p is positive. p**(-238/5) Simplify (w*w/((w**2/w*w)/w))**(-3/32)*w*w**8*w**(-1/2) assuming w is positive. w**(269/32) Simplify (w**(5/3)*w)**(-1/5)/(w**(4/11)/w*w)**43 assuming w is positive. w**(-2668/165) Simplify (s**3)**(-1/3)/(s/(s/(s**(-2/9)/s)*s)*s)**48 assuming s is positive. s**(173/3) Simplify (m**(-12)/((m*m*m**(-3/10))/m))/((m**(-9)/m)/m*m**(6/17)*m) assuming m is positive. m**(-519/170) Simplify g**(-24)/(g**(-5/3)*g)*(g*g**(2/15))/g*g/(g*g/g**5*g) assuming g is positive. g**(-101/5) Simplify ((u*(u**20/u)/u)/u*u**5/u)/((u*u*(u*u**(-1/8))/u*u)/((u**(-9)/u)/u*u)) assuming u is positive. u**(73/8) Simplify (b**2/b**21)/(b*((b**(-2/87)*b*b)/b)/b*b*b**(5/6)) assuming b is positive. b**(-1265/58) Simplify (y*y**(-6/5)*y*y*y*y*
{ "pile_set_name": "DM Mathematics" }
minutes after 6:27 AM? 4:51 PM How many minutes are there between 8:21 PM and 3:58 AM? 457 What is 646 minutes before 7:30 AM? 8:44 PM How many minutes are there between 10:31 AM and 12:08 PM? 97 How many minutes are there between 3:31 AM and 7:46 AM? 255 What is 502 minutes after 2:53 PM? 11:15 PM What is 704 minutes before 6:24 PM? 6:40 AM How many minutes are there between 3:39 PM and 9:16 PM? 337 What is 623 minutes before 10:24 AM? 12:01 AM What is 672 minutes before 10:03 AM? 10:51 PM How many minutes are there between 12:20 AM and 12:29 AM? 9 What is 82 minutes after 7:15 PM? 8:37 PM How many minutes are there between 3:21 AM and 11:58 AM? 517 What is 532 minutes after 8:53 AM? 5:45 PM What is 466 minutes after 5:04 AM? 12:50 PM How many minutes are there between 11:46 PM and 9:05 AM? 559 What is 181 minutes after 7:06 PM? 10:07 PM How many minutes are there between 9:18 AM and 12:14 PM? 176 How many minutes are there between 6:12 AM and 6:26 AM? 14 How many minutes are there between 12:45 AM and 12:56 AM? 11 How many minutes are there between 4:44 PM and 2:08 AM? 564 What is 318 minutes after 1:54 PM? 7:12 PM How many minutes are there between 8:42 PM and 1:02 AM? 260 How many minutes are there between 4:09 AM and 11:35 AM? 446 How many minutes are there between 8:23 AM and 3:48 PM? 445 What is 207 minutes before 5:52 PM? 2:25 PM How many minutes are there between 8:44 AM and 8:11 PM? 687 What is 6 minutes after 3:48 AM? 3:54 AM What is 328 minutes before 3:44 PM? 10:16 AM How many minutes are there between 8:42 AM and 10:26 AM? 104 How many minutes are there between 4:12 PM and 9:32 PM? 320 What is 676 minutes after 6:20 PM? 5:36 AM How many minutes are there between 3:31 AM and 11:05 AM? 454 What is 538 minutes before 6:41 PM? 9:43 AM What is 318 minutes after 2:42 AM? 8:00 AM What is 538 minutes after 11:16 AM? 8:14 PM What is 236 minutes after 11:15 AM? 3:11 PM How many minutes are there between 1:53 AM and 8:20 AM? 387 What is 373 minutes before 9:50 PM? 3:37 PM What is 502 minutes before 2:37 AM? 6:15 PM How many minutes are there between 5:31 PM and 12:35 AM? 424 How many minutes are there between 10:09 AM and 1:31 PM? 202 How many minutes are there between 7:18 PM and 2:57 AM? 459 What is 137 minutes before 2:54 PM? 12:37 PM How many minutes are there between 4:37 PM and 10:14 PM? 337 How many minutes are there between 5:51 PM and 9:46 PM? 235 What is 535 minutes after 7:15 AM? 4:10 PM How many minutes are there between 8:10 PM and 4:21 AM? 491 What is 681 minutes after 10:49 AM? 10:10 PM How many minutes are there between 12:48 PM and 6:55 PM? 367 What is 539 minutes before 10:54 PM? 1:55 PM What is 559 minutes before 7:53 AM? 10:34 PM What is 115 minutes before 4:18 AM? 2:23 AM What is 612 minutes after 11:41 PM? 9:53 AM What is 496 minutes after 7:19 AM? 3:35 PM What is 676 minutes after 9:51 PM? 9:07 AM How many minutes are there between 4:27 AM and 5:26 AM? 59 How many minutes are there between 4:38 PM and 10:05 PM? 327 How many minutes are there between 9:48 AM and 9:28 PM? 700 What is 42 minutes before 9:56 AM? 9:14 AM How many minutes are there between 7:25 AM and 6:26 PM? 661 How many minutes are there between 12:37 AM and 4:04 AM? 207 What is 687 minutes after 8:35 AM? 8:02 PM How many minutes are there between 5:00 PM and 5:04 PM? 4 How many minutes are there between 5:03 AM and 7:03 AM? 120 How many minutes are there between 10:17 AM and 7:49 PM? 572 What is 71 minutes after 1:12 AM? 2:23 AM How many minutes are there between 2:32 AM and 3:24 AM? 52 What is 344 minutes after 12:41 AM? 6:25 AM How many minutes are there between 9:17 PM and 10:54 PM? 97 How many minutes are there between 8:08 PM and 9:19 PM? 71 What is 244 minutes after 9:13 PM? 1:17 AM How many minutes are there between 4:32 PM and 3:51 AM? 679 How many minutes are there between 8:28 PM and 10:11 PM? 103 How many minutes are there between 1:49 AM and 3:33 AM? 104 How many minutes are there between 12:30 PM and 6:14 PM? 344 How many minutes are there between 12:03 PM and 2:48 PM? 165 What is 528 minutes before 3:59 PM? 7:11 AM How many minutes are there between 4:14 PM and 4:47 PM? 33 How many minutes are there between 5:15 PM and 8:42 PM? 207 How many minutes are there between 3:04 PM and 7:13 PM? 249 What is 685 minutes before 10:20 PM? 10:55 AM How many minutes are there between 8:32 AM and 1:49 PM? 317 How many minutes are there between 10:51 PM and 2:46 AM? 235 How many minutes are there between 4:26 PM and 6:26 PM? 120 How many minutes are there between 7:33 PM and 9:58 PM? 145 What is 317 minutes after 6:20 PM? 11:37 PM What is 616 minutes before 4:21 PM? 6:05 AM What is 620 minutes after 5:56 AM? 4:16 PM How many minutes are there between 12:32 PM and 5:24 PM? 292 What is 453 minutes before 2:05 AM? 6:32 PM What is 327 minutes after 6:16 PM? 11:43 PM How many minutes are there between 12:17 PM and 6:16 PM? 359 What is 453 minutes before 3:18 AM? 7:45 PM How many minutes are there between 3:41 AM and 9:23 AM? 342 What is 292 minutes after 3:21 PM? 8:13 PM What is 612 minutes before 8:09 AM? 9:57 PM What is 194 minutes before 3:33 AM? 12:19 AM What is 385 minutes before 8:11 AM? 1:46 AM How many minutes are there between 9:57 AM and 2:00 PM? 243 What is 570 minutes after 12:18 AM? 9:48 AM How many minutes are there between 8:10 PM and 4:54 AM? 524 What is 170 minutes before 4:26 AM? 1:36 AM What is 354 minutes before 5:14 PM? 11:20 AM What is 366 minutes before 12:38 AM? 6:32 PM How many minutes are there between 6:55 PM and 2:43 AM? 468 How many minutes are there between 10:34 PM and 6:45 AM? 491 What is 6 minutes after 6:03 AM? 6:09 AM How many minutes are there between 7:15 AM and 6:33 PM? 678 How many minutes are there between 1:25 PM and 8:03 PM? 398 How many minutes are there between 5:45 PM and 2:57 AM? 552 How many minutes are there between 8:01 AM and 4:17 PM? 496 How many minutes are there between 7:43 AM and 2:43 PM? 420 How many minutes are there between 10:14 PM and 1:20 AM? 186 How many minutes are there between 7:23 PM and 4:29 AM? 546 How many minutes are there between 10:42 AM and 9:05 PM? 623 What is 331 minutes before 3:12 AM? 9:41 PM What is 572 minutes after 2:32 PM? 12:04 AM How many minutes are there between 3:26 AM and 4:33 AM? 67 What is 627 minutes after 4:31 AM? 2:58 PM How many minutes are there between 3:31 AM and 1:15 PM? 584 What is 355 minutes after 8:40 PM? 2:35 AM How many minutes are there between 5:33 AM and 10:54 AM? 321 How many minutes are there between 3:43 AM and 1:31 PM? 588 How many minutes are there between 9:11 AM and 11:56 AM? 165 How many minutes are there between 2:16 AM and 2:56 AM? 40 How many minutes are there between 7:48 PM and 11:10 PM? 202 What is 295 minutes after 7:07 AM? 12:02 PM What is 586 minutes after 11:50 PM? 9:36 AM How many minutes are there between 9:27 AM and 4:39 PM? 432 How many minutes are there between 8:20 PM and 4:14 AM? 474 What is 49 minutes before 5:16 PM? 4:27 PM How many minutes are there between 2:32 PM and 11:52 PM? 560 What is 135 minutes before 5:13 AM? 2:58 AM What is 470 minutes after 1:52 PM? 9:42 PM How many minutes are there between 12:45 PM and 11:55 PM? 670 What is 705 minutes before 7:34 PM? 7:49 AM How many minutes are there between 6:27 PM and 4:44 AM? 617 What is 470 minutes after 6:32 AM? 2:22 PM What is 62 minutes before 12:14 AM? 11:12 PM How many minutes are there between 5:07 AM and 12:43 PM? 456 What is 38 minutes after 12:07 PM? 12:45 PM How many minutes are there between 3:55 AM and 6:12 AM? 137 What is 634 minutes before 5:48 AM? 7:14 PM How many minutes are there between 1:33 PM and 3:45 PM? 132 What is 439 minutes before 4:36 PM? 9:17 AM How many minutes are there between 2:33 AM and 9:14 AM? 401 How many minutes are there between 10:47 AM and 6:39 PM? 472 How many minutes are there between 2:36 AM and 4:57 AM? 141 What is 323 minutes before 4:40 AM? 11:17 PM What is 424 minutes after 2:43 PM? 9:47 PM What is 251 minutes after 6:25 PM? 10:36 PM What is 634 minutes before 6:54 PM? 8:20 AM What is 702 minutes before 8:25 AM? 8:43 PM What is 605 minutes before 5:46 AM? 7:41 PM How many minutes are there between 12:04 PM and 9:55 PM? 591 Wha
{ "pile_set_name": "DM Mathematics" }
nominator of (-2 - -5)*(-99)/864 and -89/44. 352 Calculate the lowest common multiple of 10 and (-2 - (-357)/6) + (-7)/(-14). 290 What is the common denominator of 2*5/60*2/(-6) and 41/14? 126 Suppose 8*c = 10*c + 18. Let n = 10 + c. Calculate the least common multiple of 4 and n. 4 Suppose t + 2 = 9. Suppose 4 = -2*b + 26. Calculate the lowest common multiple of t and b. 77 Let a(f) = -f + 10. Let y be a(8). Suppose -2 + 5 = y*o + 3*w, -10 = -2*w. Let i(z) = z**2 + 4*z + 2. Calculate the least common multiple of i(o) and 2. 14 Suppose 2 = -2*z + 22. Let u = -10 - -15. Calculate the lowest common multiple of u and z. 10 Suppose 2*s + 3*s - 25 = 0. What is the least common multiple of s - (0/2 + 2) and (-42)/(-5) + (3 - (-68)/(-20))? 24 Suppose 4*f + d - 30 = f, -4*f + 3*d = -27. Suppose -2*o = o - 27. Suppose 2*s - o = s. What is the least common multiple of f and s? 9 Suppose 0 = -4*g - 3 + 35. Calculate the smallest common multiple of (15/10)/((-3)/(-40)) and g. 40 What is the common denominator of -83/14 and (-1452)/(-280) + (-10)/35? 70 Let t = 105 - 2539/24. Calculate the common denominator of -34/33 and t. 264 Suppose -5*w = -0*w + 4*r - 121, -2*w = -3*r - 53. Let y = 5446/3729 + -2/339. What is the common denominator of ((-24)/(-6))/(22/w) and y? 11 Suppose 3*r + 316 = -1517. Find the common denominator of 2*23*2/44 and (-4)/22 + r/88. 88 Let t be (-329)/(-6)*(-595)/2. Let c = 16324 + t. What is the common denominator of c and 5/14? 84 Suppose 120 = -q + 6*q. Let s = q - 16. What is the smallest common multiple of s and ((-12)/7)/(3/(-21))? 24 What is the lowest common multiple of 15/(-2)*28/(-35) and 10? 30 Let b(x) = -x**2 + 8*x - 7. Let i be b(7). Let j = i + 4. What is the smallest common multiple of j and 9? 36 Suppose -a = -3*a + 2. Suppose -a = -5*i + 4. What is the lowest common multiple of i and 6? 6 Let j(i) = -i**3 + 2*i**2 + 3*i + 4. Calculate the least common multiple of j(3) and 2. 4 Let t = -18 - 13. Let x = -17 - t. What is the smallest common multiple of x and 10? 70 Let j = 51/14 - 54/7. What is the common denominator of 23/8 and j? 56 Let y = -2 + 1. Let f be 1 - (-5 - (-2 - y)). Suppose -f*k + 30 = 10. What is the least common multiple of k and 22? 44 Calculate the common denominator of 5/12 and ((-1)/16)/((-63)/4494). 24 Suppose -c + 9 + 13 = 0. Let g be 4*c/(-2)*-1. Suppose -b - 1 = 4*o - 39, g = 3*b - 2*o. Calculate the least common multiple of 4 and b. 36 Suppose f = -5*u - f - 36, -5*f + 10 = 0. Let p = 16 + u. Calculate the least common multiple of (-4)/(-18) - 140/(-18) and p. 8 Suppose 5*r - i + 0 - 14 = 0, 0 = -2*r - 3*i + 9. Let o be ((-735)/(-18) - -2)*r. Let h = o - 1033/8. Calculate the common denominator of 11/2 and h. 8 Let p(o) = o**2 - 7*o + 8. Let n(l) = 2*l**2 - 14*l + 15. Let r(a) = -6*n(a) + 11*p(a). What is the lowest common multiple of 10 and r(6)? 20 Let a = 23281/8 - 2915. What is the common denominator of a and 17/10? 40 Let s = 62 + -44. Calculate the lowest common multiple of 32 and s. 288 Suppose 104 = -6*j + 2*j. Let i = j + 79. Find the common denominator of -29/12 and i/2 - (-1 - 0). 12 Let s(r) = -r**2 - 6*r. Let o be s(-7). Let p = o + 8. Calculate the lowest common multiple of 3 and p. 3 Let m = 11432063/87 + -131397. Let y = m + 9/29. Let t = y - 179/15. What is the common denominator of t and 28/11? 55 Let l(f) = 2*f - 1. Let r be l(0). Suppose 0 = c + 2*c - 12. Calculate the lowest common multiple of 8/c - (r + -3) and 12. 12 Let n be (-12935)/(-860) - 2/8. Let i = -8863/387 + n. Find the common denominator of i and -59/4. 36 Calculate the common denominator of (3 + 399/9)/8 and 181/30. 60 Let c = 4 + -2. Let z(f) = f**2 - 4*f + 16. What is the lowest common multiple of c/2*(2 - -2) and z(4)? 16 Calculate the common denominator of 81/2 and (-2)/8*15/9. 12 Let h be ((-16)/(-20))/((-4)/30). Let c be (-484)/h + 10/(-15). Suppose -20 = 5*z - c. Calculate the lowest common multiple of 16 and z. 48 Suppose 0*f - 2*n - 408 = 3*f, 2*f + 3*n = -267. Calculate the common denominator of (f/(-10))/(8/(-10)) and 121/12. 12 Let v(d) = d - 7*d + d**2 + 7 + 0*d. Suppose 3 = f + 2. What is the least common multiple of f and v(5)? 2 Suppose 0 = -a - 0 + 10. Suppose -4*z + 2 + a = 0. Suppose -z*w - t = -5, -3*w - t = 2*t - 3. Calculate the least common multiple of 1 and w. 2 Suppose 0 = -l + 5 + 3. Suppose 0 = -j + 5, 2*x - 3*j = 3*x - 14. Let v(u) = -5*u. What is the least common multiple of v(x) and l? 40 What is the common denominator of 11/18 and 3*(1 + (-87)/66)? 198 Let r = -10 - -14. Suppose 0 = -3*a + 4*j + 41, j = a - 2*j - 22. Suppose a*p - 4*p = 66. Calculate the least common multiple of p and r. 44 Let n = 617/3 - 230. Let h = -7033 - -70251/10. Find the common denominator of n and h. 30 Let x be (-27)/(-15)*15/1. Let u = x + 7. Calculate the lowest common multiple of u and 4. 68 Let d be -1*2 + (1 - -5). Calculate the common denominator of (-79)/6 + (4 - d) and (-1)/(-4)*(-1 - -111). 6 Suppose 0 = o - 0*o + 8. What is the common denominator of -9*5/((-50)/o) and 123/10? 10 Let c = 1893/2 + -967. Let u = 545/63 + -65/21. Calculate the common denominator of c and u. 18 Let g = 15275/42 - 2596/7. Calculate the common denominator of 51/200 and g. 600 Let c(n) = n**2 + n + 6. What is the lowest common multiple of -10*(12/10 - 2) and c(0)? 24 Let p = -845/24 + 124/3. Calculate the common denominator of 121/24 and p. 24 Find the common denominator of (-8)/(-12)*(16/(-10) + 1) and 9/11. 55 Suppose 2*p - p = 22. Let a be (3/(-2))/(3/4). Let u = a + 14. Calculate the least common multiple of p and u. 132 Let s(n) = 2*n - 4. Let a be s(9). Let p be -4 - ((-3)/3 - -1). What is the common denominator of -1/8 and (-5121)/378 + p/a? 24 Suppose 7 = 5*p + 5*u + 2, 2*p - u = 11. Suppose 3*s + 3 = -3*g, -4*s = 5*g + 9 - 3. Calculate the smallest common multiple of p and s. 4 Let h = 844 - 9304/11. Calculate the common denominator of -2*3/(-8)*34 and h. 22 Find the common denominator of (-12)/40*19 + 1 and 53/3. 30 Suppose -v - 6 = -4*v. Calculate the least common multiple of v and 26. 26 Let o = -13 + 23. Find the common denominator of -142*(o/(-32))/(-5) and 16/9. 72 Let d = -5271 - -42245/8. Let u = -12739/3470 - 10/347. Calculate the common denominator of d and u. 40 Suppose -3*c = -2*c + 146. Find the common denominator of ((-4)/(-12))/((-1)/(-68)) and (-2)/(-1) - c/(-20). 30 Calculate the common denominator of 1/(-84)*-911 + (-129)/301 and 38/11. 132 Find the common denominator of (10/(-180))/(1/(-26)) and 48/5. 45 Let q(f) = -20*f + 8. Calculate the smallest common multiple of q(-1) and 26. 364 Let z = -13 - -12. Calculate the common denominator of (-59)/(-12) + 2 - z and -41/4. 12 Let r = 2 - 0. Let a = r + 0. Calculate the lowest common multiple of 12 and (3 - (a + 0)) + 3. 12 Suppose -16 = -c - 0*c. Suppose 9*l + t = 4*l + 20, 4*l - 5*t - c = 0. Calculate the least common multiple of l and 18. 36 Suppose 0 = 4*u + 3*r - 81, 4 = -4*r - 16. Calculate the lowest common multiple of 40 and u. 120 Let w be 698/721*(-2049)/524. Let l = 2/13493 - w. Calculate the common denominator of l and -15/4. 28 Suppose -2*u = -8, -u + 867 + 425 = 4*s. Let j = 1919/6 - s. Find the common denominator of 83/14 and j. 42 Let d(v) = -v**2 - v + 8. Let y be d(0). Calculate the common denominator of (1092/(-352))/((-6)/y) and -89/22. 22 Let s be 1*(-2 - -2) - 0. Suppose 4*o + o = s. Let n = 11 + o. Calculate the least common multiple of n and 3. 33 Let y(b) = -b - 5. Suppose -3*k = 31 - 7. Let v be y(k). Suppose -s = j - 11, -4*j - 51 = -v*s - 11. Calculate the least common multiple of 22 and s. 132 Find the common denominator of (-10)/6*(-3)/4 and (-15)/(-12)*384/(-108). 36 Suppose q - 62 = 4*u - 223, -5*q = -2*u + 85. Calculate the smallest common multiple of u and 16. 80 Let j be -3 - 15336 - (2 + 1). Let o = 214897/14 + j. Find the common denominator of o and -53/20. 140 Suppose -5*w - 6 = 9. Find the common denominator of ((-78)/(-3) + w)/(-6) and -13/20. 60 Find the common denominator of -1/10 and 1323/(-770) - (-4)/(-22). 10 Find the common denominator of ((-450)/36)/((-1)/3) and -31/6. 6 Let r(p) = p**2 - 5*p + 3. Let a be r(4). What is the common denominator of 15 and 2*(a - (-13)/(-10))? 5 Let r = 64661/6
{ "pile_set_name": "DM Mathematics" }
times -0.2 -2376374 -0.0142 * -1650 23.43 What is the product of 20272 and -0.025? -506.8 Multiply 1 and -17412983. -17412983 Product of 188 and -62.5609. -11761.4492 -37205*2.74 -101941.7 215 times -76259 -16395685 154*0.88156 135.76024 -166753.1 * 1 -166753.1 1*3933459 3933459 Calculate 172.705*706.8. 122067.894 Product of 2172137 and 0.8. 1737709.6 Calculate -22.21*-10120. 224765.2 Multiply -2946 and -3448. 10157808 Product of -0.05 and 158991830. -7949591.5 Product of -283 and -79424.5. 22477133.5 Work out 172846 * -260. -44939960 38 times -245891.23 -9343866.74 What is the product of 940 and 126001? 118440940 What is 22473832.9 times -0.1? -2247383.29 Work out 3683447 * 4. 14733788 Product of -1883.5324 and -3. 5650.5972 3.3 * -922.76 -3045.108 Work out -0.2 * -3864220. 772844 What is the product of -6664.2 and 28.3? -188596.86 Product of 29.778417 and 4. 119.113668 11.9498 * -154 -1840.2692 Calculate -60901*-244. 14859844 40*-13010690 -520427600 -0.1166 times 15.9151 -1.85570066 Work out 30789727 * -0.5. -15394863.5 What is 88949.116 times 0.2? 17789.8232 Calculate 0.5*-927148. -463574 Product of 3590.25 and 3.9. 14001.975 Calculate -1*1846349. -1846349 Calculate 30.02518*2. 60.05036 What is the product of 3 and 61150.21? 183450.63 What is the product of -0.08 and -33748418? 2699873.44 -0.076 times -1.38698 0.10541048 Calculate -7.5882032*-0.05. 0.37941016 1512.752 times 2 3025.504 What is 1 times 55419.55? 55419.55 What is the product of 3582 and -1.655? -5928.21 6202 times -7.3 -45274.6 -79513*47.1 -3745062.3 Multiply -13019.745 and -6. 78118.47 -0.11 * 17517742 -1926951.62 0.0219 times 46103 1009.6557 Work out -3690 * -0.7213. 2661.597 0.33496868 times 0 0 Calculate -2.378358*0.1. -0.2378358 Multiply -18489 and -27181. 502549509 Work out 0.07300619 * 1. 0.07300619 -12 * 2885160 -34621920 Work out -13102.237 * -0.9. 11792.0133 0 * -103178.4 0 Work out -0.035 * -17245.14. 603.5799 Work out -0.11838 * 2. -0.23676 What is the product of -1625.7 and 370? -601509 Multiply 4118603.1 and -0.06. -247116.186 34685.8 * -1.9 -65903.02 What is 1708031 times -6? -10248186 Calculate 179500791*-0.5. -89750395.5 What is the product of 0.087 and -1.884158? -0.163921746 Work out 3763.654 * 0.14. 526.91156 Calculate -12057*34. -409938 -0.05 * 410.8409 -20.542045 1.26*139.801 176.14926 28.4 times 217411 6174472.4 What is -3 times -4636.742? 13910.226 Work out -16913026 * 0.2. -3382605.2 -0.1 times -264502.704 26450.2704 Product of 199 and 100943. 20087657 2377.2*14134 33599344.8 18088059 * -5 -90440295 What is the product of 43935 and 271? 11906385 Calculate 1.14867171*0.04. 0.0459468684 Product of 0.38122578 and 0.5. 0.19061289 Multiply 1050 and 12081. 12685050 2 * -195721166 -391442332 Work out 0.3611 * 3959. 1429.5949 Calculate -1.4259564*-0.2. 0.28519128 Work out -24643102 * -0.24. 5914344.48 Multiply 1.8 and 0.0047768. 0.00859824 What is the product of 7061384 and 4? 28245536 Calculate 25426821*0.4. 10170728.4 -6 * 137627.968 -825767.808 Product of 0.5 and -2525888. -1262944 What is 1.17419 times -0.1872? -0.219808368 30 * -1764655 -52939650 Product of 76500.241 and -3. -229500.723 Work out -0.2 * -24.47545. 4.89509 115086*0.03 3452.58 Product of 0.369 and 0.653691. 0.241211979 Multiply 1277443 and 0.68. 868661.24 Work out 8722 * -1280. -11164160 Work out 4 * 3333179. 13332716 Calculate 412*3755.9. 1547430.8 Multiply -1.5 and 35986. -53979 17.78*-57166 -1016411.48 What is 5438103 times -2? -10876206 Calculate 11455*1951. 22348705 1*15.308205 15.308205 1510.683*-1.3 -1963.8879 What is the product of 3.65 and 362484? 1323066.6 -3.7 times 0.0624194 -0.23095178 -1.64442 * 0.027 -0.04439934 What is 103529 times -1104? -114296016 -19*-51052411 969995809 720860*-71 -51181060 Product of 34.6 and -26591.7. -920072.82 What is the product of 265879 and -3.4? -903988.6 Multiply -591.60359 and 2. -1183.20718 149663.6 times 134 20054922.4 -3336.544 times 0.103 -343.664032 Work out -74.8142 * -13. 972.5846 What is the product of -164.8294 and 0.46? -75.821524 What is 0.4209 times -4.31? -1.814079 98026 * 0.01853 1816.42178 Calculate 103*5912. 608936 526995*-0.148 -77995.26 -3899 times -411 1602489 Work out -0.0383 * -0.1024. 0.00392192 What is 0.060551 times 48? 2.906448 Calculate 0.1*80471.1. 8047.11 0.2 times 29745875 5949175 What is the product of 616 and 1.8339? 1129.6824 Calculate 16*-10718.3341. -171493.3456 What is the product of 25.1315 and -0.05? -1.256575 3 * -212.15292 -636.45876 Work out -2.86247 * -41. 117.36127 What is the product of 1 and 1271594? 1271594 Product of 134 and 1611059. 215881906 Work out -11226483 * 0.1. -1122648.3 97 times -115.9446 -11246.6262 Product of -228.142 and 0.1. -22.8142 What is 1511 times 5226? 7896486 What is the product of 2373 and 1733? 4112409 Multiply -1435 and -84554. 121334990 Multiply -0.889618 and 0.5. -0.444809 Product of -1.4 and -2.07801. 2.909214 Calculate 12581906*-0.4. -5032762.4 Work out 1918682 * 2. 3837364 What is the product of -0.2283 and -0.572? 0.1305876 Product of 0.3 and 479543401. 143863020.3 1016454 * -421 -427927134 Product of -20 and 454565. -9091300 What is 133 times 6.98322? 928.76826 Multiply -2 and -623126. 1246252 What is the product of 0.052 and 361137? 18779.124 3017821.1*-4 -12071284.4 Work out 50326 * 9064. 456154864 5604.58*-6 -33627.48 0.35 * -7220014 -2527004.9 Multiply 23 and -3069.38. -70595.74 -122092 times -96.8 11818505.6 What is the product of -0.5 and -28.30748? 14.15374 Work out 13361 * -153.4. -2049577.4 What is the product of 0.1 and -1292205? -129220.5 Product of 139646539 and 0.1. 13964653.9 What is the product of -163695 and -0.5? 81847.5 What is the product of 0.70393 and -2113? -1487.40409 What is the product of 1.872 and -66238? -123997.536 What is the product of 3 and -11.297082? -33.891246 What is 114788 times 0.408? 46833.504 -391.58488*0.5 -195.79244 Work out -40.27453 * -164. 6605.02292 -0.05544 times -0.2 0.011088 -0.0479551 * -0.9 0.04315959 Multiply 112030 and -60. -6721800 What is the product of 0.2 and -65.00339? -13.000678 Multiply -6.649585 and -0.5. 3.3247925 -10380 times -3.782 39257.16 What is -1099201 times -0.05? 54960.05 What is 0.13 times 0.041511? 0.00539643 -0.3 times 363936 -109180.8 Work out -12 * -10220549. 122646588 1.5 * 6487745 9731617.5 660.1*-365.39 -241193.939 -4989435*4.9 -24448231.5 -3*-283997217 851991651 Product of -30 and 3882014. -116460420 What is 7122.1902 times -0.2? -1424.43804 -362*-2079 752598 Work out 34827.81 * -170. -5920727.7 What is the product of -7470689 and 0.8? -5976551.2 What is -0.1 times -3570470? 357047 0.0513 times 1.82644 0.093696372 Work out 1944 * 19.681. 38259.864 Multiply -924.1722 and -1. 924.1722 Multiply -0.02 and -0.02506756. 0.0005013512 -546*-1.1687 638.1102 Calculate 0.1*2491. 249.1 Product of 218960 and 7.5. 1642200 Product of -51270 and 20.41. -1046420.7 0*-21.18529 0 -5 times 9264442 -46322210 Calculate 8955480*0. 0 What is the product of 854.18 and 0.183? 156.31494 Work out 20858966 * 0.4. 8343586.4 Product of -0.17303 and -325. 56.23475 What is the product of 13.8 and 362501? 5002513.8 220347788*-0.5 -110173894 0.07*4579.496 320.56472 Product of 297744 and -614. -182814816 -0.09*-293180 26386.2 -4 * -4449231 17796924 Product of 5 and -18.5096. -92.548 303.6 * -2842 -862831.2 Calculate -0.0504*-48.58. 2.448432 Calculate -2*72548933. -145097866 -0.07 * 20.47328 -1.4331296 23763426*43 1021827318 Product of -70.9 and 5559. -394133.1 What is -0.5 times -1298.6317? 649.31585 -619*247040 -152917760 72991.414 * 1 72991.414 What is the product of -4 and 377.93? -1511.72 -32420859 * -1 32420859 Calculate -3338*-20753. 69273514 Calculate 3*3.6209792. 10.8629376 What is -52511.4 times 64.3? -3376483.02 159074633 times -0.3 -47722389.9 Work out -806.6299 * 48. -38718.2352 34619 times -36.9 -1277441.1 0.5*-0.5289647 -0.26448235 Product of -3 and -12.7062576. 38.1187728 -1018428 times 7.7 -7841895.6 Multiply -64205 and -2.27. 145745.35 What is the product of -0.119 and 5895987? -701622.453 What is -202.5 times -0.874? 176.985 -0.93211*-0.1344 0.125275584 0.3*108.98084 32.694252 What is the product of 18 and -5232.955? -94193.19 1021614323 times 1 1021614323 Product of -21 and -401.4284. 8429.9964 What is -
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 19915? 9 What is the units digit of 244? 4 What is the tens digit of 1834? 3 What is the hundreds digit of 5841? 8 What is the thousands digit of 6202? 6 What is the thousands digit of 4587? 4 What is the thousands digit of 2053? 2 What is the thousands digit of 25226? 5 What is the hundreds digit of 1467? 4 What is the units digit of 2223? 3 What is the thousands digit of 5393? 5 What is the hundreds digit of 2945? 9 What is the ten thousands digit of 110819? 1 What is the units digit of 1325? 5 What is the thousands digit of 1684? 1 What is the ten thousands digit of 133553? 3 What is the hundreds digit of 22878? 8 What is the thousands digit of 4948? 4 What is the ten thousands digit of 13667? 1 What is the tens digit of 422? 2 What is the units digit of 44645? 5 What is the tens digit of 2675? 7 What is the tens digit of 10771? 7 What is the units digit of 151558? 8 What is the hundreds digit of 1129? 1 What is the ten thousands digit of 10033? 1 What is the thousands digit of 1746? 1 What is the ten thousands digit of 34235? 3 What is the ten thousands digit of 17100? 1 What is the tens digit of 4930? 3 What is the tens digit of 2562? 6 What is the thousands digit of 2785? 2 What is the thousands digit of 55241? 5 What is the thousands digit of 2039? 2 What is the hundreds digit of 896? 8 What is the hundreds digit of 1835? 8 What is the hundreds digit of 20603? 6 What is the tens digit of 1450? 5 What is the tens digit of 15439? 3 What is the thousands digit of 8051? 8 What is the ten thousands digit of 10849? 1 What is the hundreds digit of 8326? 3 What is the thousands digit of 78393? 8 What is the hundreds digit of 269? 2 What is the tens digit of 918? 1 What is the hundreds digit of 588? 5 What is the units digit of 1102? 2 What is the tens digit of 52341? 4 What is the ten thousands digit of 60278? 6 What is the tens digit of 11732? 3 What is the tens digit of 39237? 3 What is the hundreds digit of 4162? 1 What is the tens digit of 129? 2 What is the units digit of 978? 8 What is the units digit of 760? 0 What is the hundreds digit of 2533? 5 What is the ten thousands digit of 64224? 6 What is the tens digit of 108451? 5 What is the thousands digit of 1946? 1 What is the hundreds digit of 11133? 1 What is the units digit of 30506? 6 What is the thousands digit of 25172? 5 What is the tens digit of 824? 2 What is the ten thousands digit of 75683? 7 What is the hundreds digit of 22748? 7 What is the tens digit of 324? 2 What is the tens digit of 4182? 8 What is the ten thousands digit of 24065? 2 What is the tens digit of 136227? 2 What is the thousands digit of 149240? 9 What is the hundreds digit of 10527? 5 What is the units digit of 7438? 8 What is the hundreds digit of 3150? 1 What is the ten thousands digit of 10597? 1 What is the tens digit of 9871? 7 What is the units digit of 7? 7 What is the hundreds digit of 4158? 1 What is the hundreds digit of 887? 8 What is the hundreds digit of 11684? 6 What is the units digit of 16331? 1 What is the tens digit of 98664? 6 What is the tens digit of 11344? 4 What is the units digit of 710? 0 What is the units digit of 3223? 3 What is the tens digit of 1917? 1 What is the tens digit of 11376? 7 What is the hundreds digit of 4074? 0 What is the ten thousands digit of 23473? 2 What is the units digit of 5562? 2 What is the hundreds digit of 807? 8 What is the units digit of 71189? 9 What is the tens digit of 3068? 6 What is the tens digit of 8081? 8 What is the ten thousands digit of 57119? 5 What is the hundreds digit of 16741? 7 What is the tens digit of 12379? 7 What is the thousands digit of 39831? 9 What is the thousands digit of 5532? 5 What is the thousands digit of 25754? 5 What is the units digit of 2695? 5 What is the thousands digit of 23144? 3 What is the thousands digit of 77241? 7 What is the hundreds digit of 8836? 8 What is the ten thousands digit of 37320? 3 What is the thousands digit of 34190? 4 What is the hundreds digit of 71836? 8 What is the tens digit of 62054? 5 What is the hundreds digit of 16301? 3 What is the units digit of 138847? 7 What is the units digit of 585? 5 What is the hundreds digit of 5279? 2 What is the hundreds digit of 6967? 9 What is the thousands digit of 10331? 0 What is the tens digit of 4430? 3 What is the tens digit of 1403? 0 What is the tens digit of 6286? 8 What is the thousands digit of 2727? 2 What is the tens digit of 5709? 0 What is the units digit of 31439? 9 What is the tens digit of 7533? 3 What is the tens digit of 2350? 5 What is the thousands digit of 42679? 2 What is the units digit of 9573? 3 What is the tens digit of 2119? 1 What is the units digit of 5844? 4 What is the thousands digit of 2784? 2 What is the units digit of 385? 5 What is the hundreds digit of 47119? 1 What is the tens digit of 1070? 7 What is the ten thousands digit of 30745? 3 What is the thousands digit of 10382? 0 What is the units digit of 401? 1 What is the tens digit of 1272? 7 What is the hundreds digit of 18534? 5 What is the hundreds digit of 671? 6 What is the tens digit of 83? 8 What is the tens digit of 2171? 7 What is the units digit of 41289? 9 What is the units digit of 20547? 7 What is the thousands digit of 10846? 0 What is the thousands digit of 2048? 2 What is the units digit of 3063? 3 What is the thousands digit of 4864? 4 What is the tens digit of 2092? 9 What is the tens digit of 8618? 1 What is the units digit of 2888? 8 What is the tens digit of 2096? 9 What is the units digit of 383? 3 What is the ten thousands digit of 75163? 7 What is the units digit of 99947? 7 What is the units digit of 962? 2 What is the tens digit of 24804? 0 What is the tens digit of 25522? 2 What is the hundreds digit of 46426? 4 What is the units digit of 6722? 2 What is the tens digit of 22262? 6 What is the tens digit of 9193? 9 What is the units digit of 1570? 0 What is the units digit of 17144? 4 What is the units digit of 1807? 7 What is the thousands digit of 21180? 1 What is the units digit of 64028? 8 What is the thousands digit of 2001? 2 What is the hundreds digit of 8044? 0 What is the ten thousands digit of 43014? 4 What is the hundreds digit of 2731? 7 What is the ten thousands digit of 42480? 4 What is the tens digit of 3089? 8 What is the thousands digit of 18568? 8 What is the hundreds digit of 1744? 7 What is the units digit of 33162? 2 What is the tens digit of 319? 1 What is the tens digit of 424? 2 What is the ten thousands digit of 26619? 2 What is the thousands digit of 5594? 5 What is the hundreds digit of 58568? 5 What is the thousands digit of 9228? 9 What is the units digit of 1057? 7 What is the hundreds digit of 2255? 2 What is the thousands digit of 26159? 6 What is the tens digit of 1434? 3 What is the thousands digit of 11237? 1 What is the thousands digit of 48052? 8 What is the tens digit of 24269? 6 What is the ten thousands digit of 31047? 3 What is the units digit of 502? 2 What is the units digit of 3? 3 What is the tens digit of 851? 5 What is the tens digit of 898? 9 What is the hundreds digit of 13923? 9 What is the tens digit of 1258? 5 What is the tens digit of 51431? 3 What is the tens digit of 772? 7 What is the hundreds digit of 132938? 9 What is the tens digit of 442? 4 What is the units digit of 6859? 9 What is the tens digit of 204? 0 What is the thousands digit of 9115? 9 What is the units digit of 913? 3 What is the units digit of 14950? 0 What is the units digit of 7613? 3 What is the units digit of 31378? 8 What is the thousands digit of 9507? 9 What is the units digit of 4065? 5 What is the units digit of 11890? 0 What is the units digit of 4510? 0 What is the units digit of 1923? 3 What is the tens digit of 338? 3 What is the tens digit of 1097? 9 What is the units digit of 81556? 6 What is the units digit of 5314? 4 What is the units digit of 2671? 1 What is the thousands digit of 9233? 9 What is the units digit of 2024? 4 What is the thousands digit of 3548? 3 What is the hundreds digit of 14316? 3 What is the thousands digit of 29118? 9 What is the thousands digit of 123824? 3 What is the hundred thousands digit of 104785? 1 What is the hundreds digit of 584? 5 What is the hun
{ "pile_set_name": "DM Mathematics" }
earest to q? (a) i (b) r (c) 2/7 b Suppose 219*o + 540 = 214*o. Let i = -96 - o. Let n be (-9)/i - (1435/(-220))/7. Which is the nearest to 1/3? (a) -0.2 (b) -2/27 (c) n c Let h = 11.1 - 10.918. Let u = h - -0.118. Which is the closest to 0.1? (a) 1 (b) u (c) 0.4 b Let q = 6.9 + -2.8. Let s = q + -6.9. Let v = 2.7 + s. What is the closest to 5/3 in v, -3, -0.4? v Let n = 49 + -113. Let x = n - -65. Let p be (60/21)/((-1)/(-7)). What is the closest to x in p, 4, 2? 2 Let u = -412.6 + 415.6. Which is the nearest to -1? (a) 0.3 (b) -2 (c) -1/134 (d) u c Suppose 3*p - 5*n - 24 = -42, 3*p = n - 6. Which is the nearest to p? (a) -15.7 (b) -4/3 (c) 1/6 b Let f = 1.9 - 2. Let n = -341/681 - -1/1362. Which is the closest to 2/3? (a) n (b) 5 (c) f c Let m be 11/35 + ((-128)/480)/((-8)/(-18)). Let f be (-175)/8*(-30)/35. Let v = 37/2 - f. Which is the closest to m? (a) 6/11 (b) v (c) 0.2 b Let f = -3589/2 + 1795. Which is the nearest to -2/3? (a) 1/8 (b) -0.2 (c) f (d) -5 b Let t be (-210)/(124/248*(5 + -1)). What is the nearest to t in -5, -0.1, 0.5, 5? -5 Let b = -13 + 7. Let p(n) = 51158*n - 51158. Let x be p(1). What is the closest to x in b, 0.2, -0.1, 0.4? -0.1 Suppose 0 = -5*j - 2*n + 471, j = 2*n + n + 84. Let q = 61 - j. Let u = q + 255/8. Which is the nearest to 4? (a) -0.3 (b) u (c) 2/3 c Let h = 7 + -4. Let p = 0.012 + 0.488. Suppose 0*m = 4*m. Which is the nearest to m? (a) 0 (b) p (c) h a Let i = 11235 + -11230. What is the nearest to 1/2 in 1/7, -528, 1/3, i? 1/3 Suppose -253 = -3*k + 98. Let r = k + -123. Let x be (-2 + 4 + -10)/r. What is the closest to 0 in -3, x, -4? x Let s = -20.6541 - 0.0459. Let x = 0.4 - -20.6. Let v = s + x. What is the nearest to -1 in 0.1, -2, v? -2 Let v = 4 - 5.6. Let i = -2170.8 + 2171. What is the nearest to 0.1 in i, v, -5? i Let i = -3885 + 15543/4. What is the closest to i in -5, -5/4, 3? -5/4 Let l = -19082 - -19077. What is the nearest to -13 in -606, l, -0.4, -0.1? l Let z be (-278)/60 + (-34 - (-5544)/144). Let l = 1 + -0.8. Which is the closest to 0.17? (a) 5 (b) z (c) l c Let b = -18186.5 - -18187. What is the nearest to -2/13 in 0.2, -5, b, -4? 0.2 Let r = -6.4 - -6.36. Let i = 305 - 307. Which is the closest to 3? (a) r (b) 5/2 (c) i b Let u = -34.3 + 35.3. Let n(x) = -x**2 - 19*x - 42. Let z be n(-16). Which is the closest to z? (a) 5 (b) -5 (c) u a Let s be (-20)/(-16)*(36/15)/6. Which is the nearest to s? (a) -5 (b) 0.3 (c) 1/4 (d) 0.12 b Let j = 0.1871 + -9.1871. Which is the nearest to -1? (a) -0.3 (b) j (c) -123 a Let u = 377778 + -377778. Let j be 1/3*(-1)/(-1). Which is the closest to j? (a) u (b) -1/6 (c) 0.4 (d) 2 c Let j be 1425/24 + 1 - 12/32. Suppose 0 = -2*l - 2*l - n + j, n + 20 = l. What is the closest to -1/4 in -0.3, l, -5, 0.4? -0.3 Let t(c) = 584*c + 4674. Let k be t(-8). What is the closest to -1/3 in k, 7, 3/17, -1/4? -1/4 Let a = 0.1896 + -0.3896. What is the closest to -1 in 3/4, -5, a, 5? a Let p = 326 + -326.4. Let u = -107.6 - -119. Let j = u - 11. What is the nearest to 2 in 0, p, j? j Let x = 3155 + -3158. Let i = -4 - -4. Suppose 0*k - k = i. What is the closest to -1/2 in k, 1, x? k Let u = -283 - -563. Let t = u + -279.5. Which is the closest to t? (a) -0.2 (b) -0.1 (c) -5 b Suppose -19*u + 8*u - 1598 = 3594. Which is the closest to 2? (a) -3 (b) u (c) 3/2 c Let m = 8062 - 8063.2. What is the closest to m in -3, 1, -1, -4/17? -1 Let b = 1968.7 + -1968.797. What is the nearest to -1 in -7, 2/15, b? b Suppose 4 = 2*m, 2*u + 4*m = u + 13. Let l = -715 - -714.8. What is the closest to -28 in -1, u, l? -1 Let z = -38242/5 + 7648. What is the nearest to z in -2/125, -2, 5? -2/125 Let w = 277.3 - 272.3. Which is the closest to -0.1? (a) 7 (b) w (c) 2 (d) -0.3 d Let z(g) = -g**3 + 7*g**2 + g - 10. Let b be z(7). Suppose -5*p - 4*t = -p - 4, -t + 5 = 2*p. Let f = 2.61 - 2.41. What is the closest to f in p, -0.2, b? -0.2 Let i = 102 + -101.568. Let k = 0.132 - i. Let m = -0.48 + -0.02. Which is the nearest to 4? (a) m (b) k (c) -3 b Let i = -6853 - -6854. Let q = 1.9 + -2. Which is the nearest to i? (a) 1/5 (b) q (c) 111 a Suppose -2*w = w + 30. Let f be ((-2)/w)/((-8)/5). Suppose 33*z - 53*z = 40. Which is the nearest to -3/4? (a) z (b) f (c) 1 b Let m be 1/(-1)*2*-1. Let h = 0.314 + 4.716. Let r = h + -7.03. Which is the nearest to 3? (a) r (b) 5 (c) m c Let m = 332 - 365.5. Let f = 52 - 19. Let x = f + m. Which is the nearest to 0? (a) 0.1 (b) 0 (c) x b Let g = -0.19 + 0.644. Let q = g - 0.054. Which is the closest to 0? (a) q (b) 0.23 (c) -4 b Let q = 7.39 + -11.39. Which is the closest to 0.08? (a) -1.1 (b) q (c) -5 (d) 4 a Let t = -209/4 - -52. Let j = -2.363 + 2.863. What is the nearest to j in 2/13, 5, t? 2/13 Let o = -148 - -166. Suppose 4*d = -2*r + 6, d - o = 3*r + 2*r. What is the nearest to 7 in 0.2, 3, r? 3 Let x be 2910/27 - (40/(-18) - -2). Which is the closest to -0.1? (a) x (b) -3/2 (c) -4/5 (d) -0.1 d Let z = -23 - -27. Suppose z*p - 8 = -3*d, -3*d - p = -d + 3. Let f = -48 - -43. What is the nearest to 0.2 in d, f, 0? 0 Let w = 85.76 - 86. Let z = -23.7 - -17.94. Let n = w + z. What is the nearest to n in -3, -0.5, -5? -5 Let w = 3212.4 + -3214.4. What is the nearest to -2/11 in 3, 201, w? w Let i = -45.14 + 1.24. Let f = i - -44. Which is the nearest to -1? (a) 0.04 (b) 1 (c) f a Let t = -220 - -228. Let d = -133 - -132.5. What is the nearest to 0 in 2, t, d? d Let o = -9.37 - -8.37. Let g = -95 - -94.7. Which is the closest to -4? (a) 7 (b) o (c) g b Let q = -72 - -72. Let x = 40.899 - 41. Let y = -1.899 + x. Which is the closest to q? (a) -1/5 (b) 2/15 (c) y b Let r be -2*(1/(-4) - ((-7)/(-4))/7). Which is the closest to r? (a) -23 (b) -0.3 (c) 0.2 (d) 4/7 d Let p be (4/6)/(11/(-3)). Let r = 1380.52 - 1380.5. Which is the closest to p? (a) 0.3 (b) r (c) -0.02 c Let a(z) = -z**2 - 5*z - 8. Let u be a(-4). Let h be (-10)/u*9/(-15). Let q = -3.04 - -0.04. What is the nearest to q in 5, h, 2/9? h Let j = 169812/7 + -24258. What is the nearest to j in -2/9, -72, 4? -2/9 Let u = -0.5 - -0.42. Suppose -h = -12*h - 11. Let q be -3 - h/(-2)*-5. Which is the closest to q? (a) 0 (b) u (c) -0.1 c Let v be 4 + 0 + (-15)/30*8. Let f = -2.57 + -0.43. Let h be 6/(-21) - (-8)/(-21). Which is the nearest to h? (a) v (b) f (c) -1 c Let v = 0.1169 - 2.2799. Let a = v - -0.163. What is the closest to a in 0.3, 1/3, -11? 0.3 Let h(o) = -2*o**2 - 38*o + 46. Let n(x) = x**2 - x + 1. Let z(j) = h(j) + 5*n(j). Let q be z(13). Which is the closest to -1? (a) 3/8 (b) -10 (c) q (d) 1/8 c Let j = 8.2 - 3.2. Suppose -6*b + 2*b + 16 = 0. Let u be (-10)/b*8/(-120). What is the closest to -1/2 in -1, u, j? -1 Let c = 72.9 - 78.31. Let j = 5.21 + c. What is the closest to -1 in 1, j, 5/4? j Let y = 29 + -25. Suppose 3*w + 4 = p + 13, 0 = -y*p + 12. Let d be w/30 - 43/30*-2. What is the nearest to 0.2 in d, -0.1, -5? -0.1 Let y = -0.1 - 1.9. Let g be 51/60 - (-3)/(-30). Which is the nearest to y? (a) g (b) -2/13 (c) 1 b Let h be (-6929260)/684284 + 11 + -1. Let p = h - -3/347. Let z = 5/3 + -43/15. Which is the closest to 0.1? (a) p (b) z (c) 2/3 a Let c = -0.07 + 0.57. Let a = -2/189 - -65/189. What is the nearest to -1 in c, -5, 0.1, a? 0.1 Let g = -5.826 + 3.826. What is the nearest to -77 in -2/7, 1, g? g Let n be (72/60)/(39/(-130)). Let w = -3 + 3. Let h = w + -1. Which is the nearest to 0? (a) n (b) 3/2 (c) h c Suppose 0 = 23*l - 28*l + 3*t - 2435, l - 4*t + 470 = 0. Let u = l + 486. Which is the nearest to -1? (a) 11 (b) 0.2 (c) u (d) 0.5 b Let n be (14/21)/(72/(-81)). What is the nearest to 0 in 2/3, n, -5, -4/7? -4/7 Let s = 1.785 - 2.03. Let i = s + -2.755. Let k be 2/(-5) + (-16)/(-90). Which is the closest to 2? (a) i (b) k (c) 0 c Let q = 10.6 + -13.6. Let n(z) = -4*z**2 - 72*z - 1. Let l be n(-18). Which is the nearest to l? (a) q (b) 0.2 (c) -8 b Let y = 1.8 + -1.4. Let q = -1493/2235 - -1/745. Which is the nearest to y? (a) q (b) 1/4 (c) -9 b Let g = 50579 + -202295/4. Let f(j) = -j**3 + 6*j**2 - 4*j - 4. Let n be f(5). Which is the nearest to -3? (a) g (b) n (c) -5 c Let k = 6/47 - 160/517. Let i be (-4 - 132/(-32)) + 30/16. Whi
{ "pile_set_name": "DM Mathematics" }
emainder when b is divided by 32. 29 Suppose -18*z - 19*z + 1295 = 0. Calculate the remainder when 305 is divided by z. 25 Suppose 0 - 36 = -4*n. Let t(m) = -118*m + 1104. Calculate the remainder when t(9) is divided by n. 6 Suppose 23*p + 1796 - 4050 = 0. What is the remainder when 386 is divided by p? 92 Let q = -18 - -29. Suppose 5*g + 75 = 6*g. Suppose 0 = -5*m + g + 20. What is the remainder when m is divided by q? 8 Suppose 2*l - 5*g - 178 = 0, -29 - 53 = -l - g. What is the remainder when l is divided by ((-290)/(-319))/(4/22)? 4 Suppose 10*s - 42*s + 4174 + 2898 = 0. Calculate the remainder when 1369 is divided by s. 43 Let f be (-90)/36*2254/(-5). Let h = -1106 + f. Suppose -2*m - 177 = -5*m. Calculate the remainder when m is divided by h. 17 Let g(c) = c**2 - c - 3. Let x(t) = -12*t**2 - 8*t - 13. Let a(o) = 6*g(o) - x(o). Calculate the remainder when (-70)/(1 - 2) - 0 is divided by a(1). 10 Let c(w) = 6 - 10 + 2*w - 11 - 22*w. Let p be c(-7). Suppose 27 + p = 4*y. What is the remainder when 151 is divided by y? 37 Let x(d) = -2*d**2 + 14*d + 19. Let y be x(8). Suppose -y*s - 57 = -3*l, -9*s = -5*l - 7*s + 107. What is the remainder when 108 is divided by l? 16 Suppose 2*k - 5*o + 3 = 23, -3*o = -3*k + 39. What is the remainder when (-12)/28 + (-113317)/(-329) is divided by k? 14 Let i be (2/(-4))/((-1)/392). Let h = i - 122. What is the remainder when h is divided by (3/(3/(-2)))/((-2)/15)? 14 Let l(a) = 2*a + 10. Let h be l(-4). Suppose -w = -2*w + h*c + 39, c + 213 = 5*w. What is the remainder when w is divided by 28? 15 Suppose 2*i = -0*i + 6. Suppose i = -o + 87. Suppose 6*v - 4*v = o. Calculate the remainder when 81 is divided by v. 39 Let l(w) = 4*w - 23. Let u be (-4 - -7)*(21/(-9) - -2). Let q(n) = -7*n**3 - n**2 + 2*n + 2. Let k be q(u). Calculate the remainder when 5 is divided by l(k). 0 Suppose -f - 10539 = -11116. What is the remainder when 598 is divided by f? 21 Let l(z) = 13*z - 61. Let v(c) = 2*c - 1. Let t(g) = -l(g) + 4*v(g). What is the remainder when t(0) is divided by 43? 14 Let w = 3047 - 10472. What is the remainder when w/(-20) + 10/(-8) is divided by 63? 55 Let r(c) = -c**3 - 14*c**2 + 10*c + 15. Suppose 35*s + 2367 = 44*s. Calculate the remainder when s is divided by r(-15). 83 Suppose 4 - 7 = -q. Suppose -7*o = -2*o. Suppose -5*b + 33 = 2*h, h - 3*b = -o*h + 11. Calculate the remainder when h is divided by q. 2 Let r(s) = 2*s**2 - 9*s - 1. Let m be r(5). Suppose -m*p + 766 = -38. Suppose -p = -9*i + 51. What is the remainder when 54 is divided by i? 26 Let g = 6615 - 6047. What is the remainder when g is divided by 10? 8 Let v = -37 + 13. Let f = v + 15. Let d(j) = -j**2 - 12*j - 14. What is the remainder when 50 is divided by d(f)? 11 Suppose 0 = 83*l - 4286 - 30. What is the remainder when l is divided by 26? 0 Let i = -91 - -94. Suppose -i*f + 3 = 0, -10*p + 15*p - 3*f = 127. What is the remainder when p is divided by 14? 12 Let h = 37 + -35. Suppose -f + 49 = 4*l, -19 = -l - h*f + 2. Let b = 14 - l. Calculate the remainder when 8 is divided by b. 2 Let l be -1*12/(-9)*(-6)/2. Let j = 350 - 122. Calculate the remainder when j is divided by (414/(-81))/(l/36). 44 Suppose -h = 6*h + 56. What is the remainder when 162 is divided by ((147/(-4))/(-7))/((-2)/h)? 15 Let d(p) = 14*p + 863. What is the remainder when d(-38) is divided by 166? 165 Suppose 20*m = 85 - 25. Suppose m*k + 21 = 72. Calculate the remainder when 132 is divided by k. 13 Let c be 2*4*(-3 - 7/(-2)). Calculate the remainder when 65 is divided by 30/24 + -1 - (-79)/c. 5 Let s = 1533 - 1445. Calculate the remainder when 96 is divided by s. 8 Let i(x) = -x**3 - x**2 - x - 5. Let b be i(-6). Suppose -5*h = -b + 61. Let g = -60200 - -60247. Calculate the remainder when g is divided by h. 23 Let n(b) = b + 1. Let d be n(-1). Suppose -2*v + 9 + 57 = d. What is the remainder when (-5918)/(-363)*6 + (12/(-22))/(-3) is divided by v? 32 Suppose 10 = 2*l, 0 = 7*j - 8*j + 3*l + 727. Let x = 753 - j. What is the remainder when 450 is divided by x? 10 Suppose -2*b + 148 = 3*d, 3*b - 3*d - 235 = -d. Let z = -241 + 274. Suppose -3*s + 3*k = -s - z, -3*s + b = k. Calculate the remainder when s is divided by 9. 6 Suppose 4*t + 5*x - 59 = 0, 4*t + 12*x - 89 = 13*x. Let k(j) = -j**2 + 20*j + 33. Calculate the remainder when 58 is divided by k(t). 10 Suppose -3*l - 34 = -2*q, -11*l + 119 = 7*q - 8*l. What is the remainder when 129 is divided by q? 10 Let s be ((-75)/12)/(3*4/(-288)). Suppose -12*n - s = -14*n. Calculate the remainder when n is divided by 16. 11 Let w(j) = j**3 + 18*j**2 - 5*j - 60. Suppose 0 = 5*f + 5, -7*f + 6*f = -4*v - 71. What is the remainder when 65 is divided by w(v)? 5 Let m = -12 + 160. Let t = 159 - m. What is the remainder when t is divided by 7? 4 Let c(p) = 9*p + 0*p + 10*p + 9*p - 20 + 10*p. Calculate the remainder when 292 is divided by c(3). 10 Let b(c) = -48*c + 743. Calculate the remainder when ((-43)/(-1))/(2/4) is divided by b(15). 17 Let w = 707 + -659. Suppose 2*m + 2*m - 100 = 0. What is the remainder when w is divided by m? 23 Let h(d) = -5*d - 30. Let q be h(-3). Calculate the remainder when 88 is divided by ((-5445)/22)/q + (-1)/(-2). 3 Let z(n) be the first derivative of n**4/4 - 2*n**3 - 5*n**2 + 23*n + 25. Calculate the remainder when 7 is divided by z(7). 1 Suppose -3*a - 4 = -4*a. Let d = 367 - 153. Let c = d + -196. Calculate the remainder when c is divided by a. 2 Let s = -18 + 19. Suppose k = 2*r + 16 - s, 5*r = 3*k - 44. Suppose 5*d = 4*c + 172, 4*c - 3*c = d - 34. What is the remainder when d is divided by k? 10 Suppose -2*c - c + 535 = q, 5*c - 865 = 5*q. Let b = 398 - c. Calculate the remainder when b is divided by (-254)/(-8) - 3*(-4)/48. 29 Suppose 266 = 4*h + c - 749, 5*h = -4*c + 1255. What is the remainder when h is divided by 81? 12 Suppose 12 + 3 = 3*u. Suppose u*v - 4 = 1. Suppose -5459*q = -5472*q + 13. Calculate the remainder when v is divided by q. 0 Let l(w) = -w**2 + 8*w - 8. Let n be l(7). What is the remainder when (4/6)/(n/(-96)) is divided by (-2254)/(-69) + (-7 - 176/(-24))? 31 Let j(d) = -d**3 + 22*d**2 + 90*d - 1231. What is the remainder when j(22) is divided by 110? 89 Let s = -384 + 629. Let t = s + -223. Calculate the remainder when 126 is divided by t. 16 Let j(k) = k**3 + k**2 - 11*k + 3. Let n = -10 - -30. Calculate the remainder when j(4) is divided by n. 19 Suppose -1055*m = -1045*m - 250. Calculate the remainder when 1066 is divided by m. 16 Suppose -561*j + 5040 = -417*j. Let z = 53 - -14. Calculate the remainder when z is divided by j. 32 Let f be 2 + -52*(-8)/16. Suppose f*m = 31*m - 627. What is the remainder when m is divided by 72? 65 Let f(u) = 193*u**2 - 894*u + 13. Calculate the remainder when f(5) is divided by 19. 7 Let x be 2/3*(-3 + 6). Suppose 2*b = h + 7, b - 5*h + 31 = x*b. Calculate the remainder when 137 is divided by 3*2/b + 34. 32 What is the remainder when (16/4)/2 - (-31714)/202 is divided by 25? 9 Let u = 12933 - 12777. What is the remainder when u is divided by 109? 47 Let n(f) = f**2 - 3*f - 141. Let d be n(12). What is the remainder when 381 is divided by (-6838)/(-143) + (-6)/d? 45 Let t be 55*(-32)/(-176) + -5. Let n(k) = -3*k**2 + 2 + 3*k - 18 - 2*k + k**3. What is the remainder when n(t) is divided by 9? 3 Let k(m) = -5*m - 25. Let a be ((-4)/12*3)/(2/18). Calculate the remainder when 318 is divided by k(a). 18 Let q = 6 - 5. Suppose 2*y - 173*c - 28 = -178*c, 3*y + 2*c = 75. What is the remainder when y is divided by -16*(q + (-9)/6)? 5 Let g(p) be the first derivative of p**2 - 21*p + 90. What is the remainder when g(35) is divided by 4? 1 Let g(a) = 7*a**2 - 73*a + 269. What is the remainder when g(4) is divided by 7? 5 Suppose -5*i - o = -10, 7*o = 4*o. Calculate the remainder when 214 is divided by (12/36)/((-2)/(-93))*i. 28 Calculate the remainder when (36 - (-218464)/384) + 1/12 is divided by 300. 5 Let m = -17624 + 17640. Let o(j) = -j + 54. Let k be o(0). Let c = 85 - k. Calculate the remainder when c is divided by m. 15 Suppose 109*h - 3*w - 2454 = 106*h, 3*h = -2*w + 2469. What is the remainder when h is divided by 315? 191 Let t(p) = -10*p - 245. Let k be t(-25). Let i = 1 - -17. What is the remainder when 2/k - (2118/10)/(-3) is d
{ "pile_set_name": "DM Mathematics" }
e nearest to 46 in 3.4, 3, 1893? 3.4 Which is the nearest to -114/5? (a) 12/13 (b) -19 (c) -5 (d) 15 b What is the closest to -456 in 0, -0.8, -100, -3? -100 Which is the closest to -3/4? (a) 1/6 (b) -4/5 (c) -3 (d) 56315.5 (e) -5/4 b What is the nearest to 2 in 1/10, 2/17, 5236? 2/17 What is the nearest to 3184 in 163, 1, 1/5? 163 What is the nearest to -3 in 184, 29, -25, 0.2? 0.2 Which is the nearest to -21? (a) -90 (b) 2/11 (c) 1/2 (d) 110 (e) -0.5 e What is the closest to 0.3 in 52, -0.37, -2/7, 0.23, -1, -32? 0.23 What is the closest to 0.06 in 3/7, -3/7, -173.23? 3/7 Which is the nearest to -152/13? (a) -4/7 (b) 0 (c) -1/6 (d) 0.11 (e) 3/5 a Which is the nearest to -4? (a) 702390 (b) 3 (c) 0.5 (d) 0.2 d What is the nearest to -35/9 in 3, 4, 171? 3 What is the closest to -26 in -11, -1, -0.5, 7/3, -0.21? -11 What is the closest to 1/6 in 2.3, 2/15, 1.3, 3, -1? 2/15 Which is the closest to -2/7? (a) -0.4 (b) 0.3 (c) -6.902 (d) 2.302 a What is the closest to -0.2 in -1.7, 129, -70, -2/17, -0.4? -2/17 Which is the closest to 368? (a) -95/11 (b) 6 (c) 17 c Which is the nearest to -12? (a) 0.019 (b) 14 (c) 0.3 (d) -0.042 (e) -1/4 e What is the nearest to -2 in -0.0209897, 0, 4, 3, -6? -0.0209897 Which is the closest to -20/21? (a) 139 (b) 4 (c) 36 (d) -1/4 d What is the closest to 1/2 in -0.3, -4, -1.21, 12445, -5, -2/9? -2/9 What is the nearest to 2 in 2, 5, -2047, -187? 2 Which is the nearest to 0.6? (a) -0.4 (b) 305 (c) -10708 a Which is the closest to 0.009? (a) 2/17 (b) -2/3 (c) 14 a What is the closest to 268 in -3, 0.0759, -2/3, 7? 7 What is the closest to 9.859 in -2/3, 0.2, -16/7? 0.2 Which is the closest to 83? (a) 0 (b) 2 (c) -1.292 (d) -5 (e) -22.5 b What is the nearest to -8.6 in 0.1, 0.4, -1/2, 7.3, -371? -1/2 What is the closest to 13 in 1, 2, -1.343, 3? 3 Which is the closest to 0.5? (a) 3/5 (b) -4 (c) 0.04531 (d) -45/7 (e) -1/2 a What is the closest to 2/9 in -1/4, -8, -3, -0.91, -0.5? -1/4 Which is the closest to -1/3? (a) 3 (b) 4 (c) 2/17 (d) 3/5 (e) -38/35 c What is the nearest to -0.0834 in -2/7, 5, 2/61, 8, 1? 2/61 What is the nearest to -2 in -8377, 5/8, -1? -1 Which is the closest to 19? (a) -4 (b) 0.062699 (c) 0.4 c Which is the closest to 6/31? (a) -20/123 (b) -2/7 (c) 0.11 c What is the closest to 118 in 1/4, 0.5, 0, -4492? 0.5 Which is the nearest to 0.02? (a) 9.3 (b) -1916 (c) 0.2 c Which is the closest to 21? (a) 5 (b) 0.1 (c) 0.866 (d) -1/2 a Which is the closest to 0? (a) 0.2 (b) 0.05 (c) -12 (d) 5/31 b Which is the closest to -2? (a) -3 (b) -5/2 (c) -708 (d) 3 (e) -43 b What is the nearest to -0.003 in 2/13, -0.2, -31/189? 2/13 Which is the nearest to -1022/5? (a) 14 (b) -3 (c) 0 (d) 0.512 b Which is the nearest to -0.16? (a) 0.0316 (b) -2 (c) -4 (d) 1/4 (e) 5/6 (f) 0.3 a Which is the closest to -22/5? (a) -1 (b) 11 (c) 0.97 (d) 1/6 (e) -25 a Which is the closest to -1787? (a) -0.2 (b) 0.034 (c) 0.4 a What is the closest to -1/9 in -0.15, -485/3, 0.03? -0.15 What is the nearest to 0.1 in 33804, -2/11, -5, -6, -0.02, -3? -0.02 What is the nearest to 3/4 in -4, -6, -31, -1/789? -1/789 What is the nearest to 0.03 in -0.3, -2/3, 1/4, -417438? 1/4 What is the nearest to -1 in 0.1, 3, 0.4, -11, 2, -457? 0.1 Which is the closest to -12.06? (a) 3/28 (b) -5 (c) 496 (d) -2 b What is the nearest to -1/4 in 3, 1/2, 2/3, 20, -1674? 1/2 Which is the nearest to 0.4? (a) 0.4 (b) 0.3 (c) 2.3 (d) 38/9 a What is the closest to -8999 in 0, 0.818, 1/5? 0 What is the nearest to -1/2 in 41, 539.46, -1/7? -1/7 What is the closest to 7 in -0.091, -20, -45, 0.1? 0.1 Which is the nearest to 8? (a) -1/3 (b) 18 (c) 0.06 (d) -11 (e) -2/7 c Which is the closest to -0.0654? (a) -1/7 (b) 12 (c) -2/55 c Which is the nearest to -4/7? (a) -0.5 (b) -82/9 (c) 334 (d) -5 a Which is the nearest to -1/2? (a) 0.1 (b) -0.118 (c) -1 (d) 1 (e) 29 (f) -0.5 f Which is the closest to -27? (a) -1 (b) -3 (c) -0.1 (d) -2/5 (e) -10/999 b What is the nearest to 3 in -5, 2/7, 3/196, 1, -6? 1 What is the closest to 3/199 in -0.01, 234/47, 0? 0 What is the nearest to 5 in -1, -161110, 0.3? 0.3 What is the nearest to -1.4 in -3, 0.1, -7, -0.12, -1.2? -1.2 What is the closest to 1/2 in -1/3, -2/9, 147, 1, -145, -1/61? 1 Which is the nearest to -0.1? (a) 41974 (b) 8 (c) 0.4 (d) -0.04 d What is the closest to 0 in -5, 0.065, 1764? 0.065 What is the nearest to 0.03802 in 1/3, -3, 0.06? 0.06 What is the nearest to -0.1 in -0.37, -34/169, -3/7, -2? -34/169 Which is the nearest to 3524/7? (a) -0.53 (b) -4 (c) 4.9 (d) 0 c What is the nearest to 0.2 in -2/109, 12313, 0.01, 1.2? 0.01 What is the closest to 13 in -0.4, -3.1, 0.1, -68/7, 2? 2 What is the nearest to -2/3 in 2/7, 0.2, 0.4, -2, -6/23? -6/23 What is the nearest to -13 in -0.3, -2312487, 3? -0.3 Which is the closest to -112075? (a) 0.1 (b) -0.2 (c) -1/6 (d) 2/5 b Which is the nearest to -54? (a) 0.2 (b) -15 (c) -4/117 (d) -1/4 b What is the closest to -2/3 in -3.46, 113.97, 3? -3.46 What is the closest to 0.2 in 2.4, 1/2, 4, -4/7, -959? 1/2 Which is the closest to 9? (a) -4 (b) -3/8 (c) -5970 (d) 1/4 (e) 5 e Which is the nearest to -7? (a) 0.0579 (b) 5 (c) -1351 (d) -3 d Which is the closest to 108? (a) -1 (b) -8 (c) 0.06 (d) -0.1 (e) -0.2 c What is the nearest to 0 in 2, -5/3019, -12/11, 1/6? -5/3019 Which is the closest to 1? (a) 3 (b) -3/5 (c) 1 (d) -33 (e) -3 (f) 12.279 c What is the nearest to -927/70 in 1/5, -3, -0.5, 4, -0.2? -3 What is the nearest to -27 in 17/4, -1, 135, 7? -1 What is the nearest to -4/172865 in 1/3, -1/2, 1, -4? 1/3 What is the closest to -0.051 in 1, 2/3, -2.9, 3/2? 2/3 What is the nearest to 2/5 in 18128, -3/5, -0.01, 1/4, -1/6? 1/4 What is the closest to 3 in 0, -6, 0.4, -24, -0.269? 0.4 Which is the nearest to -0.1? (a) 3 (b) 43 (c) 4323 (d) -0.4 d Which is the nearest to 41? (a) -433 (b) -0.235 (c) 0.5 c What is the nearest to 2/19 in 3/2, 0.4, -234/5, 2/7, -4/5? 2/7 Which is the closest to -1? (a) -37/7 (b) -6 (c) 2/7 (d) 0 (e) -2/7 e What is the closest to -0.1 in 1.6, -1/7, 18161, 2? -1/7 Which is the nearest to 117800? (a) -2 (b) 4 (c) 8 c Which is the nearest to 231? (a) 0.4 (b) 4 (c) 87066 (d) -4 b What is the nearest to 2 in 22, 6, 10, -15/8? -15/8 What is the nearest to 1/4 in 3, 2, -177, 791? 2 What is the nearest to -1/251 in 1/2, -11023, 1, -1? 1/2 Which is the closest to 0.1? (a) 1/4 (b) -7 (c) -26924/843 a What is the closest to 19 in -0.4, -0.3, -2988/7, 3/2? 3/2 What is the closest to 1/22 in -9, -218, 1.8? 1.8 Which is the nearest to 12? (a) 2 (b) -6620 (c) -3 (d) 1 (e) -2 (f) 0 a Which is the nearest to -0.27? (a) -4 (b) 605285 (c) 0.3 c What is the nearest to 1 in -0.4, 1.4, -263, -4, -0.1, -2? 1.4 What is the nearest to 0.04 in 277, 181, -1.4, 2/7? 2/7 Which is the closest to -29? (a) -2 (b) 2 (c) -1/6 (d) -19060/9 a What is the nearest to 0.4 in -0.5, -2, -0.1, -11, 0.1236? 0.1236 Which is the nearest to -1/120? (a) 82 (b) -0.7 (c) 0.01 (d) -0.031 c What is the nearest to -2 in -1, -70, -2/5, 46167, 0.03, -4? -1 What is the closest to 52 in -3, 0.3, -5, 0.047, 0.1, 6? 6 What is the closest to 473 in 0.1, -5, -10, 3/7, -2.2? 3/7 Which is the nearest to 79? (a) 2 (b) 2/266127 (c) 5 c Which is the closest to -3/11? (a) -0.3 (b) -3057 (c) -0.5 (d) 5 (e) -1 (f) 3 a Which is the nearest to 131/7? (a) -3 (b) -18/5 (c) 1/7 (d) -0.2 c What is the closest to 6143 in 30, -6, 2? 30 Which is the closest to -2/7? (a) -2220/13 (b) -8 (c) 3 c What is the closest to 1/2 in -11/2, 3, 1, 2.5, -1/5? 1 Which is the nearest to -8930? (a) 0.1 (b) 5 (c) 9/5 (d) -0.5 d Which is the closest to -0.1? (a) 1.47 (b) -4 (c) -11 (d) 3/37 d Which is the nearest to 2/11? (a) 22 (b) -0.0582 (c) 3 b What is the nearest to 0.3 in -1/7, -1104, 2/11, 0.5, -0.002? 2/11 Which is the nearest to 0? (a) -1/3 (b) 42633.1 (c) 3 (d) -3/2 (e) -2/9 (f) 0 f What is the nearest to 2265 in 89, 2/9, -0.526? 89 What is the closest to 2/7 in -0.2, -2/17, 2/9, -4, -49/5? 2/9 What is the nearest to 11 in -62/13, 18, 5? 5 Which is the nearest to 0.2? (a) 0.4 (b) -2 (c) -5 (d) 5
{ "pile_set_name": "DM Mathematics" }
*k + 112. Let d(p) = -p**3 + p**2 + 13*p - 6. Let i be d(4). Sort i, 0, 3, k in ascending order. k, i, 0, 3 Suppose 225 = -4*v - f, 9*f = 4*v + 5*f + 200. Sort 2, -3, 0, v in ascending order. v, -3, 0, 2 Suppose 57 = -27*o + 30. Put o, 1, 5, -4 in decreasing order. 5, 1, o, -4 Let d = 2/11 + -28/33. Sort -1/2, 0, d in increasing order. d, -1/2, 0 Let r = 67 + -160. Let n = r - -95. Put -2/3, n, 0.5 in decreasing order. n, 0.5, -2/3 Let o = 6569/42 + -313/2. Suppose 6*q - 14 = 7*q + 3*b, 4*q - 3*b = 19. Sort -3, 3/4, o, q. -3, o, 3/4, q Suppose -4*n = 3*l - 65, -5*n + 89 = -0*n - 4*l. Let j = -10 + n. Suppose -j = -4*g + 1. Sort -5, 2/13, g in increasing order. -5, 2/13, g Let h(t) = -t**3 - 6*t**2 + 13*t + 36. Let z be h(-7). Put -3, z, 2 in ascending order. z, -3, 2 Let b = 68 - 61. Suppose -b*h + 4 = -17. Put 7, h, 0, 4 in descending order. 7, 4, h, 0 Let i = -6/115 + 296/1265. Put i, -2, -0.5, 1/4 in increasing order. -2, -0.5, i, 1/4 Let j = -528 + 529. Sort -4, -26, j. -26, -4, j Let p = 19 + -16. Let k = 0 - -10. Let y(o) = -o**3 + 10*o**2 - o + 9. Let s be y(k). Sort p, -3, s in ascending order. -3, s, p Let d = -27 + 26.94. Put 11, -3, d in descending order. 11, d, -3 Suppose 5*u + 4*y + 20 = 0, 0*y + 5 = 3*u - y. Put 6, -3, u, -18 in decreasing order. 6, u, -3, -18 Let c(r) = -r - 9. Let k be c(-8). Let b be (2/42)/((-8)/(-48)). Let l be (3/2)/((-2)/4). Put k, l, b in descending order. b, k, l Let d = -5 + 9. Let r = -603 + 606. Let f = -4/21 + 2/231. Sort d, r, f in descending order. d, r, f Let s = -0.85 - -1.05. Let j = -69.5 + 69. Put 3/10, s, j, -2 in decreasing order. 3/10, s, j, -2 Let s = -1427 - -1427. Sort -3/8, -4, 0.8, s. -4, -3/8, s, 0.8 Let g(s) = s**3 - 7*s**2 + 9*s - 3. Let v be g(6). Suppose -18 = -2*q - 3*z - 2, -z = -4. Suppose 0 = t + q*t - v. Sort -5, t, 0 in descending order. t, 0, -5 Let n = 46.5 - 30.5. Sort -2/7, 2, 3, n in descending order. n, 3, 2, -2/7 Let h(v) = -v**3 - 7*v**2 + 5*v + 7. Let y be h(-5). Let w = 65 + y. Put 0.8, -2/5, w in ascending order. w, -2/5, 0.8 Let p = -1.47 - -1.57. Let l(c) = -c**3 + 9*c**2 + 11*c + 10. Let a be l(10). Let n be (16/a)/(-2 + 1). Sort n, p, -15 in descending order. p, n, -15 Let w = -12.51 + -8.49. Sort 0, 2/27, w. w, 0, 2/27 Let s = 300 + -302. Put s, 3, -0.3, 1/2 in descending order. 3, 1/2, -0.3, s Suppose 5*b = 2*b + 3*k, b + 2*k = -6. Suppose -3*o - 8 = -o. Put o, b, 8 in ascending order. o, b, 8 Let g = 324 + -308. Put -1, g, 3 in increasing order. -1, 3, g Let g = 17 + -20. Let s be g - 0 - (-9)/(90/40). Put -8, -4, s, 4 in decreasing order. 4, s, -4, -8 Let b(x) = x**2 - 2*x - 25. Let h be b(10). Put 4, h, 2 in increasing order. 2, 4, h Suppose 5*y - y = -20. Let k be 6/(-18) - (1 + 96/(-18)). Let f(z) = -z**3 + 4*z**2 + 6*z + 1. Let i be f(5). Sort k, y, i in decreasing order. i, k, y Let c = 0.181 - 0.178. Let n = c - 0.203. Put n, 6, 0.4 in descending order. 6, 0.4, n Suppose 2*g - 32*g - 60 = 0. Put g, -1/2, 208 in increasing order. g, -1/2, 208 Let x = -39 + 187/5. Let u = -71/35 - x. Suppose 0 = c - 2*c. Sort c, -5, u in increasing order. -5, u, c Let i be (-19)/4 - (-6)/8. Let r be ((-9)/i - 3)*-4. Put r, 1, -4, 4 in increasing order. -4, 1, r, 4 Let q(z) be the first derivative of -z**4/4 - 3*z**3 + 11*z**2/2 + 15*z - 10. Let j be q(-10). Sort -2, j, 4 in increasing order. -2, 4, j Let f = -49 - -84. Let d = f + -37. Put 5, d, 6 in increasing order. d, 5, 6 Let o = -0.054 + -0.346. Let n = 11 - 23.68. Let f = -0.32 + n. Sort f, o, -4. f, -4, o Let b = 1 + -6. Let m be (9/(-6))/((-24)/16)*-1. Suppose -2*q + 4*q - 4 = 0. Sort q, m, b in increasing order. b, m, q Let f = 0.0946 + -0.4946. Sort f, -172/11, 3 in ascending order. -172/11, f, 3 Suppose 0 = -6*b + 4*b - 4*x - 28, -5*x - 5 = -5*b. Let n = 407/170 - 39/17. Put n, -1, -3, b in ascending order. b, -3, -1, n Suppose 2*c = -k + 11, 3*k - 15 - 6 = -2*c. Let z(g) = -g**3 + 7*g**2 - g + 14. Let t be z(7). Put 1, k, t in decreasing order. t, k, 1 Suppose -2*f + 6*j = j - 34, -4*f + 3*j = -54. Let o be f/(-21)*14/(-4). Suppose o*n = n. Sort n, 3, -2 in ascending order. -2, n, 3 Let s be -4 - 12/((-9)/3). Suppose s = 7*p - 2*p. Let g = 0.7 - -4.3. Put g, p, -3 in descending order. g, p, -3 Suppose -3*b - 2*q = -9, -5*b - 4*q + 21 = 4. Let l(v) = -3*v + 4*v + 1 + 1 - 10. Let r be l(7). Put 5, r, b in ascending order. r, b, 5 Let v = -2/361 + 375/2527. Put 0.016, v, -1 in decreasing order. v, 0.016, -1 Let y = 99 - 94. Sort 1, y, 7, 0.3 in descending order. 7, y, 1, 0.3 Suppose 0 = 3*g - 20 + 2. Put -3, g, 2, 3 in increasing order. -3, 2, 3, g Let q = 27.984 + 0.016. Let n = 29 - q. Sort n, -0.5, -0.3 in ascending order. -0.5, -0.3, n Let x = -878 - -857. Put 5, 2, -3, x in decreasing order. 5, 2, -3, x Let k(j) = -2*j + 41. Let d be k(-15). Put 5, -2, d in increasing order. -2, 5, d Let u = -337.97 - -343. Let d = u - 0.03. Put 0.3, 0, 2/17, d in descending order. d, 0.3, 2/17, 0 Let k be (-4)/66 + (-1760)/2904. Sort -1, -1/4, -2, k. -2, -1, k, -1/4 Let f be (-21)/(-9)*12 - (-1 + 1). Let m = 33 - f. Sort m, 1, -3. -3, 1, m Suppose 41*r - 2023 = -629. Sort 4, r, -1, -3 in decreasing order. r, 4, -1, -3 Suppose -3*n + 11 = 4*r, 4*n + 16 = 2*r - 6. Suppose -u - z + 8 = 0, u - 4*z + 9*z = 24. Sort u, -5, r, -1 in increasing order. -5, -1, u, r Let h be (-4)/9 + 1/3. Let y = 3.31 - 2.31. Sort y, -0.1, h in decreasing order. y, -0.1, h Let v = 27.061 + -0.061. Let x = v - 26. Sort 3, 0.07, x in decreasing order. 3, x, 0.07 Let b be 15/25 + (-44)/(-10). Let z be (20/(-6))/((-1)/3). Suppose -3*h + z = b*c, -9 + 1 = h - 4*c. Sort h, -3, 6 in descending order. 6, h, -3 Let q(o) = o**3 + 7*o**2 - 2*o - 5. Let f be q(-7). Let h be 6/(-3)*f/(-6). Suppose -2*i + h = 1. Sort 0.4, -4, i in ascending order. -4, 0.4, i Let i = 1.61 + -4.61. Let b be 35/(-98) + (-2)/14. Put b, i, -8 in descending order. b, i, -8 Let y = 0 - 0. Suppose 5*c - 148 = s, 0 = 2*c - 9 + 1. Let i = 130 + s. Sort y, i, -5 in ascending order. -5, y, i Suppose 88*d - 86*d - 4 = 0. Sort -3, d, -22 in descending order. d, -3, -22 Let q = 0.77 - 0.77. Let s be -1 + (-6)/(-15) + (-19)/(-15). Put s, -0.04, q, -0.2 in decreasing order. s, q, -0.04, -0.2 Let g = -0.62 - -0.12. Sort 2, -4, g, -5 in descending order. 2, g, -4, -5 Let x = 1.4 + -1.1. Let u = 263 + -262.8. Sort x, u, -4, -5. -5, -4, u, x Let m be -3*(-10)/15 + 1. Suppose m*f = f. Let c be (f + -5)/(0 + -1). Put 8, -3, c in descending order. 8, c, -3 Let c = -10 - -6. Put 3, c, 5, 0 in descending order. 5, 3, 0, c Let q(l) = -l**3 - l**2 - l - 1. Let i be q(0). Suppose -8*u = -10*u - 2*o - 2, 0 = 4*u + 5*o. Sort u, 4, i in descending order. 4, i, u Let x(o) = 4*o**3 - 2*o**2 - 2*o - 5. Let j be x(2). Sort 2, -3, j. -3, 2, j Suppose -s + 11 = -5*p + 20, 12 = -4*s - 4*p. Let z = -0.36 - 0.04. Sort s, 1.8, 0.2, z in ascending order. s, z, 0.2, 1.8 Suppose -5*b + 94 = -o + 113, 2*b + 9 = -o. Let h(w) = w. Let p be h(4). Sort -2, b, p. b, -2, p Suppose -4*h + 3*o - 24 = 0, -h + 3*o = -4*h + 3. Let l be (0 + 1)/((-2)/(-8)). Suppose l*f + g = -0*f, -2*g = 4*f. Put f, h, 3 in ascending order. h, f, 3 Suppose 3*q = -q + 56. Let a(r) = -r**3 + 20*r**2 - r + 9. Let x(y) = 2*y**3 - 39*y**2 + 2*y - 19. Let b(v) = -11*a(v) - 6*x(v). Let u be b(q). Sort -3, u, 4. -3, u, 4 Suppose -3*z = 2*b - 16, -24 - 48 = -4*b + 4*z. Let c = -0.03 - 0.27. Sort -1/3, b, c in decreasing order. b, c, -1/3 Suppose -47*p - 4 = -45*p. Suppose 10 + 10 = 4*z. Sort 9, p, z in increasing order. p, z, 9 Let w(x) = -x + 1. Let t be w(3). Suppose -34*g + 47 - 13 = 0. Put -3, -1, g, t in decreasing order. g, -1, t, -3 Let n = 0.3 - 0.1. Let q be 1 - 6 - (-2 + -2). Let s be (q - 1) + (3/(-6) - -3). Put -5, s, n in descending order. s, n, -5 Let u = -2760/7 + 394. Let f = -3.4 - -2.9. Put f, 2/15, -2/3, u in descending order. 2/15, u, f, -2/3 Let z = 151.6 - 151.3. Sort 8, z, -1, 9 in increasing order. -1, z, 8, 9 Let x = 7 + -11. Let l(h) = h**2 + 7*h + 13. Let b be l(-4). Let u(d) = 6*d - 9. Let y be u(b). Sort 0, y, x. x, y, 0 Suppose -3*j + 7*j = 3*g - 45, 3*g = -5*j - 36. Let f be (-11 + 10 + (-5)/(-2))*-2. Put j, 3, f in descending order. 3, f, j Let g be -5*(-4)/(-60)*2/(-4). Sort 0, g, 1, 7 in increasing order. 0, g, 1, 7 Let c
{ "pile_set_name": "DM Mathematics" }
common denominator of -139/108 and -73/504. 1512 What is the lowest common multiple of 584 and 46? 13432 What is the least common multiple of 30 and 6? 30 What is the common denominator of 193/2520 and -89/3920? 35280 Calculate the common denominator of -139/36 and 91/108. 108 Find the common denominator of -67/144 and -99/56. 1008 Calculate the smallest common multiple of 12 and 4854. 9708 Find the common denominator of -7/3 and -57/1535. 4605 What is the common denominator of 28 and 91/172? 172 Calculate the common denominator of -19/24 and 26/63. 504 Find the common denominator of 47/213 and 44/355. 1065 What is the least common multiple of 16 and 6? 48 Calculate the least common multiple of 4312 and 14. 4312 Calculate the smallest common multiple of 144 and 88. 1584 Calculate the common denominator of 27/22 and -37/1004. 11044 Calculate the least common multiple of 1 and 311. 311 What is the common denominator of -121/12 and 21/128? 384 Calculate the least common multiple of 3168 and 154. 22176 What is the lowest common multiple of 90 and 60? 180 What is the smallest common multiple of 5920 and 4? 5920 Find the common denominator of -45/824 and -49/20. 4120 What is the smallest common multiple of 70 and 952? 4760 What is the lowest common multiple of 3950 and 395? 3950 Calculate the common denominator of -115/7512 and 55/16. 15024 Calculate the least common multiple of 28 and 392. 392 What is the lowest common multiple of 1896 and 189? 119448 Calculate the lowest common multiple of 770 and 2156. 10780 Calculate the lowest common multiple of 60 and 96. 480 Calculate the common denominator of 87/8 and 71/6. 24 What is the smallest common multiple of 70 and 50? 350 Calculate the smallest common multiple of 115 and 5. 115 Calculate the lowest common multiple of 29 and 87. 87 What is the common denominator of -15/1393 and 47/28? 5572 What is the smallest common multiple of 1062 and 1298? 11682 Calculate the smallest common multiple of 432 and 7. 3024 Calculate the lowest common multiple of 160 and 180. 1440 Calculate the least common multiple of 1952 and 48. 5856 Calculate the lowest common multiple of 7 and 63. 63 What is the smallest common multiple of 12 and 27? 108 What is the common denominator of 45/322 and 101/414? 2898 Calculate the lowest common multiple of 216 and 108. 216 What is the common denominator of 49/1426 and -19/9? 12834 What is the least common multiple of 370 and 1110? 1110 What is the common denominator of -133/16596 and -45/7? 116172 What is the lowest common multiple of 362 and 10? 1810 Calculate the common denominator of -55/4 and 79/2. 4 Find the common denominator of -101/16 and -203/390. 3120 Calculate the lowest common multiple of 84 and 182. 1092 Calculate the lowest common multiple of 6 and 9. 18 Calculate the smallest common multiple of 24 and 552. 552 Find the common denominator of -39/55 and -18/11. 55 What is the least common multiple of 2 and 2885? 5770 What is the common denominator of -143/18 and 113/66? 198 Calculate the common denominator of -11/2168 and 55/8. 2168 Calculate the lowest common multiple of 40 and 12. 120 Find the common denominator of -57/7 and -87/56. 56 Calculate the common denominator of 49/39 and 44/13. 39 What is the lowest common multiple of 130 and 26? 130 What is the lowest common multiple of 36 and 210? 1260 What is the smallest common multiple of 930 and 6? 930 What is the smallest common multiple of 375 and 1125? 1125 What is the smallest common multiple of 32 and 96? 96 Find the common denominator of 36/155 and 111/434. 2170 Find the common denominator of 46/75 and -161/480. 2400 Calculate the lowest common multiple of 310 and 18. 2790 What is the lowest common multiple of 316 and 711? 2844 Calculate the common denominator of 17/152 and -9/1976. 1976 What is the lowest common multiple of 152 and 40? 760 Find the common denominator of -109/676 and -9/5. 3380 What is the common denominator of -1/10 and 23/3185? 6370 What is the common denominator of -12/7 and 19/11449? 80143 Calculate the least common multiple of 111 and 148. 444 What is the least common multiple of 9 and 173? 1557 What is the common denominator of 23/999 and -133/888? 7992 What is the common denominator of 10/81 and -53/90? 810 Calculate the lowest common multiple of 21 and 129. 903 Calculate the lowest common multiple of 9 and 116. 1044 What is the common denominator of -79/1590 and 127/1590? 1590 Calculate the common denominator of 46/9 and 52/21. 63 What is the common denominator of 67/342 and -44/9? 342 What is the common denominator of 25/20034 and 137/12? 40068 Calculate the least common multiple of 156 and 8. 312 Find the common denominator of -151/492 and -2/205. 2460 What is the lowest common multiple of 36 and 84? 252 What is the common denominator of -59/135 and 1/165? 1485 Calculate the smallest common multiple of 25 and 55. 275 What is the least common multiple of 20 and 1448? 7240 What is the lowest common multiple of 7 and 433? 3031 What is the lowest common multiple of 1475 and 40? 11800 Calculate the common denominator of -25/2604 and -65/12. 2604 What is the lowest common multiple of 26 and 130? 130 What is the common denominator of -43/492 and 38/41? 492 What is the lowest common multiple of 196 and 44? 2156 Find the common denominator of 9/1678 and 107/40. 33560 Calculate the smallest common multiple of 828 and 108. 2484 What is the lowest common multiple of 250 and 200? 1000 Calculate the lowest common multiple of 96 and 360. 1440 What is the smallest common multiple of 747 and 83? 747 Find the common denominator of -133/60 and 149/36. 180 Calculate the lowest common multiple of 24 and 30. 120 Calculate the smallest common multiple of 1826 and 2158. 23738 What is the common denominator of 75/488 and 81/122? 488 What is the common denominator of 49/9 and -40? 9 Calculate the smallest common multiple of 10 and 4956. 24780 Calculate the lowest common multiple of 16 and 10. 80 What is the smallest common multiple of 102 and 162? 2754 Calculate the least common multiple of 57 and 27. 513 What is the common denominator of 127/1572 and 17/7? 11004 Calculate the least common multiple of 153 and 27. 459 What is the least common multiple of 339 and 33? 3729 Find the common denominator of 73/468 and -127/364. 3276 What is the least common multiple of 1 and 106? 106 Find the common denominator of 17/7 and 35/2687. 18809 Calculate the lowest common multiple of 126 and 693. 1386 Find the common denominator of 33/896 and 125/6. 2688 Calculate the common denominator of -34/15 and -23/65. 195 What is the common denominator of -82/99 and -73/44? 396 What is the common denominator of 89/4 and 53/998? 1996 What is the smallest common multiple of 27 and 1212? 10908 Find the common denominator of 39/32 and -109/968. 3872 Calculate the common denominator of 11/8216 and -3/2054. 8216 What is the lowest common multiple of 1170 and 36? 2340 Calculate the lowest common multiple of 329 and 11. 3619 Calculate the common denominator of -21/656 and -53/12. 1968 What is the smallest common multiple of 4392 and 16? 8784 Calculate the common denominator of -103/112 and -7/20. 560 What is the common denominator of 32/7 and 41/37? 259 What is the common denominator of -91/160 and 73/40? 160 Calculate the lowest common multiple of 45 and 95. 855 Calculate the common denominator of -29/162 and 139/192. 5184 Calculate the smallest common multiple of 33 and 1173. 12903 Find the common denominator of -70/99 and -53/33. 99 What is the least common multiple of 20 and 32? 160 Find the common denominator of -9/8 and 13/86. 344 Calculate the smallest common multiple of 91 and 26. 182 What is the common denominator of 6/521 and -44/7? 3647 Calculate the common denominator of -121/2880 and -73/40. 2880 What is the lowest common multiple of 280 and 427? 17080 Find the common denominator of -19/18 and -41/686. 6174 What is the common denominator of -59/28602 and -63/2? 28602 What is the lowest common multiple of 893 and 1254? 58938 Find the common denominator of 95/4 and -17/2772. 2772 Calculate the smallest common multiple of 80 and 20. 80 Calculate the lowest common multiple of 952 and 252. 8568 What is the lowest common multiple of
{ "pile_set_name": "DM Mathematics" }
u*n**4 + g + t*n and give v. 2 Rearrange (1 + 3 - 1)*(-532 + 311 + 1339)*(h + 0 + 0) to the form s*h + m and give s. 3354 Rearrange 5*n**3 - n**4 + 0*n**2 - 4*n**3 + 432*n + 4*n**2 - 433*n to the form x*n**2 + k + r*n + z*n**4 + i*n**3 and give r. -1 Express -9*f - 13*f - 19*f + 14*f**2 + f**3 - 16*f - 7 + 59*f as i*f**2 + n*f + d*f**3 + m and give n. 2 Express (-3*n - 47*n + 3*n + (3 + 2 - 7)*(n + 2*n - 2*n))*(-2*n + 4*n - 5*n) as l + i*n + w*n**2 and give w. 147 Rearrange 46*a + 10*a + 1 - 1 - 14*a to j*a + c and give j. 42 Rearrange (4*k**2 + 5*k**2 - k**2)*(-551 + 1076 - 537) to n + y*k**2 + q*k and give y. -96 Rearrange -11136 + 11136 + 210*x to q*x + f and give f. 0 Express -2*t**2 + 5473*t - 4*t**4 - 5471*t + t**3 + 5*t**2 - 9 + 3*t**4 in the form k*t + h*t**3 + l*t**4 + x + d*t**2 and give x. -9 Rearrange -1 - y**3 - 21*y + 18*y + 3*y - 13*y**2 to the form b*y**2 + o*y**3 + g*y + z and give b. -13 Rearrange (j - 6*j - 6*j)*(-6*j - 16*j - 37*j) to c*j**2 + h + g*j and give c. 649 Rearrange 184*m**4 - 51*m**4 + 5*m**3 - m - 4*m**3 - 2*m**2 - m + 33*m**4 to the form z*m**3 + l*m + y + p*m**4 + o*m**2 and give l. -2 Express -403*k**4 - 2*k**2 - 14*k + 3*k**3 - k**3 - 1 + 404*k**4 as n*k**3 + z + o*k**4 + v*k + d*k**2 and give d. -2 Rearrange (0*l**3 + 5*l**3 + l**3)*(-33 - 43 - 44) to the form d*l**3 + y*l + h*l**2 + b and give d. -720 Rearrange (2 + 2 + 0)*(-2*f + 0*f + 0*f)*(-5*f + 5*f - 8*f)*(4 - 2 - 3) to a + h*f + s*f**2 and give s. -64 Express 6*p - 4*p - 3*p - 2*p + 2*p + 6*p + 7 - 7 - 2*p + (-5 + 2 + 1)*(3*p - 4*p + 2*p) + (-3 + 1 + 3)*(-2 - p + 2) - 3 + 3 - p in the form u + w*p and give w. -1 Express 234*l + 10*l + 149*l in the form f + w*l and give w. 393 Express (34*u - 22*u - 16*u)*(8*u + 134*u - u) in the form g + x*u**2 + d*u and give x. -564 Express 0*j - 18*j**2 - j + 59*j**2 - 3*j - 28*j**2 in the form m*j**2 + n + t*j and give m. 13 Express (0*v + 0*v + v)*(-17*v**2 + 816427*v - 816427*v - 11) in the form u*v + c*v**2 + z*v**3 + w and give z. -17 Rearrange -66*o**2 - o + 2*o + 272 - 63*o**2 + 130*o**2 to h*o**2 + y*o + s and give h. 1 Rearrange -v - 237 - 30*v**4 + 390 - 149 - 2*v**3 to the form b*v**3 + z*v + r + m*v**2 + o*v**4 and give o. -30 Rearrange (-45*y - 4*y + 15*y - 16*y - 2*y)*(-6*y - 2*y + 5*y) to the form t + n*y**2 + i*y and give i. 0 Express -16*u - 2*u - u - 2 - 15*u in the form o*u + y and give y. -2 Express (-2*y**4 + y**2 - y**2)*(4 - 1 - 2 + (1 - 3 + 0)*(1 + 2 - 5) + 19 + 15 + 5)*(2 + 0 + 0) in the form d*y**4 + h + l*y + b*y**2 + w*y**3 and give d. -176 Rearrange 23 - 34 + 4 + 19*g to the form h*g + l and give h. 19 Rearrange (0*k - k + 3*k)*(5 - 1 - 3) + k - k + 3*k + 31*k - 6*k + 38*k - 10*k to h*k + x and give x. 0 Rearrange -58*k**4 - k**4 + k**2 + 14 + 61*k**4 - k**3 + 3*k to l*k**4 + h*k + j*k**3 + c + q*k**2 and give h. 3 Rearrange -92*t - 105*t + 34*t - 111*t - 67*t to the form n + l*t and give l. -341 Express 11*o - 16*o**2 + 2 - 11*o - 3*o**2 - 15*o**2 in the form l*o + r + v*o**2 and give v. -34 Rearrange 360*y**3 - 381*y**3 + 2 + 495*y**3 to the form f + w*y**3 + a*y + p*y**2 and give f. 2 Express (1 - 3809*n + 4 + 3816*n)*(4 - 6 + 4) in the form a + c*n and give c. 14 Rearrange -41*w**3 - 175*w + 9 + 47*w**3 + 174*w to the form o*w**3 + u*w**2 + k + p*w and give p. -1 Express -3063*d**4 + 7*d**2 + d + 7 - 4 + 3062*d**4 as q*d**2 + s*d**3 + h + g*d + w*d**4 and give q. 7 Rearrange -9*s + 7*s + 7*s**3 + 3*s**4 - 8*s**3 + (-2*s**3 + 4*s**3 - 3*s**3)*(96*s - 51*s - 50*s) to b*s + a*s**4 + d*s**2 + m*s**3 + f and give a. 8 Express -26*f - 120*f - 3 - 3 + 30*f - 60*f as i*f + z and give z. -6 Rearrange b**3 - 149645*b + 2 - 3*b**2 + 149645*b to x + o*b + c*b**3 + d*b**2 and give x. 2 Rearrange -4 - 124*k**3 + 28*k + 46*k - 72*k to i*k**3 + p*k**2 + x + l*k and give l. 2 Express -2 - 27*u + 57*u + 66*u + 17*u as b*u + q and give q. -2 Rearrange (4 - 5*z - 4)*(-11 - 6 - 6)*(-4*z + 4*z - 2*z) to r*z + w*z**2 + d and give w. -230 Express (x + 3*x - 3*x)*(29*x + 52*x + 15*x) + (-x**2 + 2*x**2 - 3*x**2)*(-3 + 1 + 4) + (7 - 7 - 7*x)*(-2*x + 0 + 0) as f*x + h + v*x**2 and give v. 106 Express -4*s**3 - 6 + 8 + s**3 + 1 in the form n*s**3 + k*s + c + w*s**2 and give n. -3 Rearrange (-3*p + 3*p - p**2)*(p + 2*p - p) + (1263 + 84*p - 1263)*(4 - 4 + 2*p**2)*(4 - 8 - 3) to the form u + i*p**3 + h*p + t*p**2 and give i. -1178 Rearrange 7*i**2 - 1 - 42*i**2 + 26*i**2 + 8*i**4 to x*i**3 + b*i**4 + y + c*i + l*i**2 and give b. 8 Rearrange 243 - 3*o - 2*o**3 + 243 - 493 + 2*o**4 to x*o**3 + r*o**4 + i*o + n + y*o**2 and give n. -7 Express -30495 + 30495 + 359*o**2 + 210*o**2 as s*o + v + z*o**2 and give z. 569 Rearrange -70 - 120 + 21 - 8 - x**2 to y + u*x + c*x**2 and give y. -177 Rearrange 34 - 1645*q - 67 + 433*q + 33 to the form h*q + b and give h. -1212 Express (2*y - y - 2*y)*(0 - 5 + 3)*(-51 - 233 - 65) as f*y + g and give f. -698 Rearrange 6*n**4 + 11*n**4 - 2 - 3 + 7*n + 2 - 15*n**4 to m*n**4 + k + w*n**3 + h*n**2 + u*n and give u. 7 Express -7*t + 2*t**3 + 7*t - 3 - 243*t**2 - 2*t**4 + 207*t**2 in the form x*t**2 + q + o*t**3 + h*t + d*t**4 and give o. 2 Express 14 + 9 - 335*k**2 - 23 as r*k + a*k**2 + n and give a. -335 Rearrange 272*z**3 - 270*z**3 + 21*z + 13*z - 96*z**2 + 93*z**2 to i + m*z**2 + r*z + p*z**3 and give m. -3 Rearrange -2*j - j**2 + 29*j**4 - 50*j**4 + 23*j**4 - 2*j**3 to the form g*j**2 + d*j**3 + q*j + p + c*j**4 and give d. -2 Rearrange f**2 - 7 + 1041*f - 1041*f + (-3 + 2 + 0)*(3*f + 2*f**2 - 3*f) to g + l*f**2 + r*f and give g. -7 Express (5 - 10 - 15)*(q + 3*q - 2*q)*(1 - 3 + 6)*(8 - 4 - 5) in the form b + i*q and give i. 160 Rearrange -3*w - 1 + 2 - 1 + 1 - 4*w**2 to the form a*w + j*w**2 + o and give a. -3 Express 15 - 408*h**2 - 29 - 2*h + h + 13 + 431*h**2 in the form o + f*h + r*h**2 and give r. 23 Express -y**2 + 12*y**4 - 4*y**2 - 6 - 7*y**4 in the form q*y**3 + l*y**2 + a + d*y + j*y**4 and give l. -5 Rearrange 48*a**2 - 35 - 48*a**2 - a + 81*a**3 - 70*a**3 to the form v*a**2 + i + f*a + u*a**3 and give u. 11 Express (162 - 50 - 31)*(4*x**2 - 4*x**2 + 3*x**2)*(-2*x**2 + 0*x**2 + 0*x**2) as a + q*x**3 + s*x + b*x**4 + f*x**2 and give q. 0 Rearrange 3*o**2 - 1 - 25*o**4 - 24 + 23 - o**3 to w*o**4 + v + i*o**3 + y*o**2 + b*o and give w. -25 Express -2*g - 33*g**3 + 43*g**2 - 34*g**2 - 3 + 33*g**3 - 2*g**4 + 54*g**2 in the form z*g**4 + l*g**2 + j*g**3 + q + m*g and give l. 63 Rearrange -62 - 137*s + 62 - 208*s to the form n*s + m and give n. -345 Express 1857*o - o**3 - 928*o - 117*o**2 - 931*o as t*o + i*o**3 + l + r*o**2 and give i. -1 Rearrange (6*c**2 - 2*c**2 - c**2)*(2*c**2 - 4*c**2 + 0*c**2) + 5224*c**2 - 5224*c**2 - 228*c**4 to p*c**4 + m*c**3 + a + q*c**2 + u*c and give p. -234 Rearrange 1382*u - 2767*u + 1385*u + 601*u**2 to the form f + b*u**2 + p*u and give b. 601 Rearrange (-87 + 7 - 29)*(-a + a - a**3 + (-2*a + 2*a + a)*(-5*a**2 + 3*a**2 + a**2)) to i*a**3 + y*a**2 + f*a + p and give i. 218 Express 3*x + 133*x**2 - 6*x - 1366 + 1366 in the form y + k*x + t*x**2 and give t. 133 Rearrange (-48 - 42 + 76 + v)*(-2*v + 2*v - v**2) to the form p*v + a*v**2 + b*v**3 + j and give a. 14 Express (-2*u + u + 9*u)*(571 - 571 + 197*u) as l + j*u**2 + r*u and give j. 1576 Express 6*g - 1216*g**2 - 16*g - 2*g + 12*g as y*g**2 + c + v*g and give y. -1216 Rearrange (-3159 + 181*q + 3159)*(2 + 0 - 3) to j*q + t and give j. -181 Rearrange (78 - 330 - 171)*(t**2 + t**2 - 3*t**2) to a*t + k + j*t**2 and give j. 423 Rearrange 2*z - 47 - z**3 + 49 + 5*z**4 - 485*z**2 + 485*z**2 to y + d*z + v*z**2 + k*z**4 + b*z**3 and give b. -1 Express (-14*w - 8*w + 5*w)*(3*w + w + 1 - 5*w) in the form z*w**2 + d*w + k and give z. 17 Express -760*n + 161*n - 1101*n as t + s*n and give s. -1700 Express -4*p - 29 - 27 + 47*p**2 + 56 in the form j*p + t + c*p**2 and give c. 47 Rearrange (6 - 6 - 3*w)*(518*w**2 - 230*w**2 + 137*w**2) to the form i*w**2 + s*w + g + t*w**3 and give s. 0 Rearrange 92*t**2 + 118*t**2 - 1536*t**2 - 255*t**2 to the form d + k*t + v*t**2 and give v. -1581 Express (0*k + k - 5*k - k - 2 + 2 + 0*k - 4*k + 5*k + (3*k - 3*k - 2*k)*(-1 + 1 - 1))*(54 - 182 - 28) in the form r + d*k and give d. 312 Rearrange -80*k + 410*k + k**2 - 4*k**2 + 543*k + 2*k**2 to the form a + x*k
{ "pile_set_name": "DM Mathematics" }
-2996 = -25*j + d. Is j a multiple of 30? True Let q = 575 - 690. Let s = -101 - q. Does 10 divide s? False Does 127 divide -17 + 1 + 89567 + -905? True Let r be (10/9)/((-26)/(-117)). Suppose -246 = -r*a + 709. Does 14 divide a? False Let r(l) = 6*l**2 - 50*l - 5. Let j be r(14). Let p = 635 - j. Is 10 a factor of p? False Let w(t) = -t**3 - 16*t**2 - 15*t + 3. Let z be w(-15). Let x(m) = -14*m**3 + 4 + 21*m**3 + 4*m - 17*m**z + m**2. Is x(-2) a multiple of 16? True Suppose 3*v + 97 = 4*v. Let r(y) = 44*y - 23. Let s be r(-1). Let x = v + s. Is x a multiple of 3? True Is (786/(-8))/(924/(-28336)) a multiple of 106? False Let k be (-1353)/(-9) - (-3)/(-9). Suppose 8*w + k = -2*w. Is 10 a factor of (17/(-3) - -1)/(1/w)? True Let t(o) = -2053*o - 4233. Is 11 a factor of t(-6)? True Let j = -14077 + 17810. Is j a multiple of 23? False Let z(p) = 136*p**3 - 12*p**2 + 9*p + 33. Is 155 a factor of z(4)? False Let h(l) = l**3 + 10*l**2 - 22*l - 18. Let i(c) = c**3 + 11*c**2 - 23*c - 19. Let k(s) = -4*h(s) + 3*i(s). Is 17 a factor of k(-13)? True Suppose -1040 = 78*f - 82*f. Suppose -m = -3*i + f + 314, -20 = 5*m. Is i a multiple of 19? True Let m = -113 - -118. Suppose -3*s = 0, 15 = n + m*s + 2. Does 2 divide n? False Let j(p) = 45*p**2 - 16*p + 127. Is j(6) a multiple of 22? False Let r(t) = -1538*t - 5906. Is r(-9) a multiple of 64? True Let r = 772 + -762. Suppose 0 = -j + 2, r*j - 5*j - 184 = -3*n. Does 58 divide n? True Let i be ((-357)/45 + (-2)/(-6))*5. Let q = i - -34. Let w(m) = -25*m - 6. Does 10 divide w(q)? False Is 103 a factor of 412*((-6)/4 + 98/8)? True Let y(q) = -2*q**2 + 22*q + 7. Let o be y(10). Suppose 119 = 19*u - 12*u. Let l = o - u. Is 5 a factor of l? True Let t(p) = -115*p + 2. Let m(s) = 324*s - 6. Let d(x) = 6*m(x) + 17*t(x). Suppose 2*g - 7 = 5*y, 16 + 8 = -3*g - 4*y. Does 14 divide d(g)? True Let r(g) = 2*g - 12 + 4*g - 2*g**2 - 13 + 22. Let q be r(2). Does 7 divide (-4 + 3/q)*(-5 + -14)? False Let f = -120 + 65. Let r be 2898/(-30) + (-4)/10. Let c = f - r. Is c a multiple of 6? True Let s = -1576 - -2928. Let r = -345 + s. Is 20 a factor of r? False Let k = -12025 - -17785. Does 144 divide k? True Suppose -s + 9 = -5*o, s = 2*o - 1 + 10. Suppose -14 = -q - s. Suppose 0*f - 3 = -f, q*p - 181 = -2*f. Does 9 divide p? False Suppose -1979 = -5*o - 4*v, -o + v + 391 = 3*v. Suppose -o + 34 = -5*s. Is s a multiple of 10? False Suppose -7*x = 161 + 196. Let p = 77 + x. Does 2 divide p? True Suppose -s = -2*d - d + 25, -2*d + 10 = -2*s. Let f be (-1)/2 + 45/d. Suppose 496 = 4*a - 4*r, -f*a - r + 476 = -0*a. Does 10 divide a? True Let y be (0 + 1)*(9 - (0 - -7)). Is -1*(2 - (584 - y)) a multiple of 20? True Suppose 0 = 2*d - 2*w - 7190, -5*w - 2112 + 9302 = 2*d. Suppose -2*r + 1414 = -4*m, 5*r + 5*m - d = -0*r. Is 21 a factor of r? False Let b = -904 - -672. Let f = b - -542. Does 31 divide f? True Suppose 4*z = -4*g + 280, -12 = -5*z + z. Let u = -62 + g. Suppose -u*f + 420 = -5*a, f = -f - 3*a + 173. Is 10 a factor of f? False Suppose -3*k + 2429 = 2*z, 0 = 5*z - 13*k + 18*k - 6070. Is z a multiple of 7? False Let q(z) be the third derivative of 7*z**4 - 11*z**3/6 - 37*z**2. Is 13 a factor of q(2)? True Let z = -30 - -33. Is 38 a factor of ((-4722)/9)/((-2)/z) - -1? False Suppose y + 0 = k + 7, -y = 3*k - 11. Suppose 2*x = -3*q - y, -3*x = 3*q - 2*q - 2. Suppose h + 2*c - 31 = -9, 0 = c + x. Does 13 divide h? True Let q(y) = -y**2 + 13*y - 13. Let u be q(11). Suppose -u = 55*g - 56*g. Suppose -465 = g*j - 14*j. Does 4 divide j? False Let w(u) = 7*u + 73. Suppose d - 119 + 102 = 0. Is 16 a factor of w(d)? True Let t(h) = 8*h**3 - 207*h**2 + 23*h - 62. Is t(26) a multiple of 10? False Let o be (8/6)/(-3 + 436/144). Suppose x - o - 88 = 0. Does 7 divide x? False Let f = 340 - 223. Let s be (f/52)/((-1)/4). Is ((-17)/17)/(1/s) even? False Suppose 11*v = o + 14*v - 3506, 0 = -o + 5*v + 3506. Is o a multiple of 53? False Let l = -103 - -111. Does 15 divide (228/(-15))/(l/(-40)) - 1? True Suppose 0 = -4*d - u + 66 - 8, d - 3*u - 21 = 0. Let w = 3 + -4. Does 19 divide (0 - w)*d + 4? True Let j(c) = -2*c**3 - 82*c**2 + 7*c - 197. Does 95 divide j(-42)? False Suppose 32*q + 10224 = 16*q. Let c = -184 - q. Is 13 a factor of c? True Suppose b - y = -3*b + 17, 26 = 2*b - 4*y. Suppose 5*c = -25, 773 = b*a - 2*c + c. Suppose -4*p = -816 + a. Is p a multiple of 43? False Let w be (4/6)/(1/6). Suppose -y + 5*c - 95 = -309, 484 = 2*y + w*c. Suppose -12*t + y = -6*t. Is t a multiple of 8? False Let l be 311 + (-28)/(-28)*(1 + -2). Suppose -v = -952 + l. Does 24 divide v? False Let c(n) = -n**2 - 28*n + 126. Let w(q) = -7*q - 342. Let x be w(-45). Is c(x) a multiple of 9? True Let q(o) = -o + 11. Let t be q(6). Suppose 0 = -t*b + 38 + 1402. Is 12 a factor of b? True Let o = -127 - -129. Suppose 5*m - 2*i - 938 = 4541, o*m - 2*i - 2188 = 0. Is m a multiple of 58? False Suppose 0 = -4*g - g + 45. Suppose -g*n = -11*n - 108. Let r = n - -84. Is r a multiple of 10? True Let v(l) = 2*l**2 + 16*l + 102. Is v(-29) a multiple of 20? True Let y = -10131 + 10296. Is 16 a factor of y? False Suppose -6*r - p + 355 = -2*r, -5*r + 3*p + 448 = 0. Let i = r - 89. Suppose -7*y + i*y = -665. Is 10 a factor of y? False Suppose 461*n - 188*n = 238*n + 190575. Is 40 a factor of n? False Let h(o) = -2088*o - 130. Does 14 divide h(-2)? True Suppose -3*d - 3 = 0, -3*o + 85089 + 4688 = -2*d. Does 13 divide o? False Does 10 divide 10 - (-5265 + (585/9)/13)? True Let x be 2/(2/6*-1). Let n(a) = -7458*a - 8 - 4*a**2 + a**3 - 7457*a + 14899*a - 2*a**3. Is 10 a factor of n(x)? True Let c(y) = -24*y + 11. Let l be c(-4). Is l - (0 + 0)/(4/(-2)) a multiple of 13? False Let k(l) = l + 2. Suppose -6*m - 2*m = -32. Let x be (m/8)/(1/14). Does 9 divide k(x)? True Let d(q) = 5*q + 10. Let s be d(-4). Let b be (s/(-5))/(2/3). Suppose 0 = -b*l + 130 + 80. Is l a multiple of 12? False Does 36 divide (-23 - 61)/(4/(-2786)) + (-4 - 2)? True Suppose 2*j = -0*j + 4. Suppose -p = -i + 11 + j, -i + 17 = -2*p. Suppose i*h = 12*h - 456. Is 40 a factor of h? False Let r = -22635 + 38588. Does 43 divide r? True Let g(u) = -2*u**2 + 6*u - 13 + 6*u - 13*u + 3*u**2. Let k be g(-4). Does 43 divide (4/k)/((-11)/(30954/(-12)))? False Suppose 0 = -m + 3 + 1. Suppose 2*f - 5 = -b + m*f, -4 = -b + f. Suppose 0 = -i + 5*q + 9, b*q + 49 = 3*i - q. Is i a multiple of 3? False Let z = -26 + 14. Let d(s) = 7*s**2 + 4*s - 25. Let t(h) = -38*h**2 - 21*h + 125. Let b(w) = 11*d(w) + 2*t(w). Is 19 a factor of b(z)? True Let u(y) = 236*y**2 - 3*y - 2. Let t be u(-1). Let i = 261 - t. Does 8 divide i? True Let g(r) = -3*r**2 + 18*r - 43. Let j be g(14). Suppose -k + 2*t = 130 - 667, 5*k = t + 2694. Let w = k + j. Is w a multiple of 22? False Let d = -68 + 132. Let o be ((-2)/(-4))/(8/d). Suppose -169 = -4*x + 3*a, -4*x + 5*x + o*a = 28. Is 10 a factor of x? True Suppose 0 = -75*o + 36421 - 721. Is o a multiple of 6? False Let j(f) = 3378*f + 1421. Is j(5) a multiple of 8? False Let r = 22776 - -13666. Is 19 a factor of r? True Suppose 82*c - 57372 = 65899 + 16539. Is c a multiple of 14? False Let u(c) = 4*c - 15. Suppose h - 4*h + 2*f + 14 = 0, -4*f = -3*h + 22. Let a be (-8 - h/(-2))/(-1). Is 2 a factor of u(a)? False Let v(c) = c**2 - 6*c - 1. Suppose i = 8*i - 63. Let s be v(i). Suppose -k - s = -3*p, -2*p + k = 3*p - 42. Does 4 divide p? True Let h(o) = -2*o + 1. Let y(a) = 123*a + 303. Let l(d) = -3*h(d) + y(d). Is l(12) a multiple of 14? True Let s = -1780 + 3771. Is s a multiple of 34? False Suppose -198 - 490 = -2*j - 2*a, 5*j + 4*a - 1720 = 0. Suppose -j = -166*m + 162*m. Is m a multiple of 10? False Let u = -1097 - -19445. Is 11 a factor of u? True Let a(l) = 7*l + 2. Let v be a(6). Suppose 10*r - v = 11*r. Is r*(4/(-16) - 1) a multiple of 10? False Let k be (-3 - -4)/(1/(-33)). Let c be (-105)/k - (-6)/(-33). Suppose -2*b = 4 + 4, -5*b - 608 = -c*s. Does 49 divide s? True Let z = 13224 - 11573. Is z a multiple of 127? True Does 98 divide (-2 - 43)/((-2)/(-160)*(-45)/12)? False Let s(l) be the second derivative of -5*l**3/3 - 15*l**2/2 + 9*l. Let j be s(-13). Let w = -66 + j. Does 7 divide w? True Let s be (-1 - -30) + (-18)/6. Suppose -136 = 9*i - s*i. Is i a multiple of 5? False Suppose 5*k - m + 2
{ "pile_set_name": "DM Mathematics" }
hat is q rounded to three decimal places? -0.024 Let o = 0.35 - 0.22. Let f = o - 0.1300089. What is f rounded to six decimal places? -0.000009 Let h = 167.99973 - 168. What is h rounded to four decimal places? -0.0003 Suppose 0 = 5*j + 4*o - 35779, 4*o = -3*j - 0*o + 21461. Let i = -1841 - j. Round i to the nearest one thousand. -9000 Let i(t) = 2*t + 183000. Suppose 3*j = -k - 9 - 3, 0 = -3*j + 9. Let z(r) = -r - 21. Let y be z(k). Let n be i(y). Round n to the nearest ten thousand. 180000 Let l = -0.033239 - -0.0305. What is l rounded to four dps? -0.0027 Let h = -1231 + 1225.0064. Let t = h + 6. What is t rounded to three dps? 0.006 Let w = -3 - -1.6. Let q = w - -2.4. Let i = q - 1.000064. What is i rounded to 5 dps? -0.00006 Let v = -0.08 - -0.089. Let y = 0.00907 - v. What is y rounded to five decimal places? 0.00007 Let o = -40 - -50. Let q = o + -16.5. Round q to zero dps. -7 Suppose 2*w = 4*w + 2. Let j be w/((-1)/3) - -529. Suppose -2*p - 2*p + j = 0. Round p to the nearest 10. 130 Let w = -29 - -16. Let c(q) = 142011*q**2 - 9*q + 24. Let y be c(w). What is y rounded to the nearest 1000000? 24000000 Let z(u) = 1923*u**2 + 6*u - 24. Let h be z(-8). Round h to the nearest 10000. 120000 Suppose 0 - 12 = -3*p. Suppose -74 = -4*r - 5*i, r - p*i = -3*r + 92. Let w = -9 - r. Round w to the nearest ten. -30 Let p = 2259 - 2259.007018. Round p to 4 dps. -0.007 Suppose 5*s - 9 = 6. Suppose -4*c + 8551 = 5*k - 2069, s*k = -2*c + 5308. Suppose -o - c = o. Round o to the nearest one hundred. -1300 Let r = 1552969479.79999931 + -1552969464. Let v = r + -15.8. Round v to 7 decimal places. -0.0000007 Let a(z) be the second derivative of -z**4/12 + 3*z**3/2 + z**2/2 + z. Let b be a(12). What is b rounded to the nearest ten? -40 Let b = -3564 - -3564.000003611. What is b rounded to 7 decimal places? 0.0000036 Let a = 56.2 + -56.20088. What is a rounded to 3 decimal places? -0.001 Let q = 98934 + -62434. Round q to the nearest 10000. 40000 Let s = -140958712.000146 + 140958849. Let u = -137 + s. Round u to five dps. -0.00015 Let f = 597 - 398. Let s = f + -194.13. Let u = 28.17 - s. Round u to zero decimal places. 23 Let h = -1572009 - -537009. Round h to the nearest ten thousand. -1040000 Let a = -2616.1 - -2491. Let o = a + 125. What is o rounded to 1 dp? -0.1 Let u(j) = -j**2 + 5*j + 13. Let x be u(6). Suppose -2*k + x*k = 0. What is k rounded to seven decimal places? 0 Let a = -7.842 - 0.058. Let o = a + 7.899998. What is o rounded to four decimal places? 0 Let b = 74.5 + -74.499999206. Round b to seven dps. 0.0000008 Let i = -33.92 - -34. Let v = -0.1227 + i. What is v rounded to three decimal places? -0.043 Let p(i) = -36874*i**2 - 14*i + 48. Let t be p(8). Round t to the nearest one million. -2000000 Let b = 1051 - 668. Let o be (1 - 2)*(6 + (10 - 18)). Suppose 2*p = 5*z + 313, 3*z = o*p - b + 80. Round p to the nearest ten. 140 Let j be (-514 - -7)/((-2)/14). What is j rounded to the nearest 100? 3500 Let d = -1118555 + 595880. Let y = -342675 - d. Round y to the nearest one hundred thousand. 200000 Let a = 0.0241 - -21.3359. Let g = 35 - 14. Let b = g - a. Round b to 1 dp. -0.4 Let q = -0.117432778 + 37.117433458. Let l = 36.946 - -0.054. Let h = l - q. What is h rounded to 7 decimal places? -0.0000007 Let r = 677 - 1003. Round r to the nearest ten. -330 Let w = 2.62 + 0.83. Let r = -3.4659 + w. Round r to 3 dps. -0.016 Let v be (-592)/259 + 1/(-7)*-2. Let y be 3/(v + 3) - (-206352)/16. What is y rounded to the nearest one thousand? 13000 Let l = -20 + 20.27. Let y = l - 0.269952. What is y rounded to five decimal places? 0.00005 Let q = 231 + -251.9. Let h = q - -21. What is h rounded to two dps? 0.1 Let h = 3.627 + 1453.373. Let a = h + -1457.00637. What is a rounded to three decimal places? -0.006 Let a = 546053948 + -546053948.1404662279. Let t = a + -21.8595340021. Let y = 22 + t. Round y to seven decimal places. -0.0000002 Let f = 1152 + -1151.391. Let k = f + -0.58. Round k to two decimal places. 0.03 Let l = 24.5 - -1035.5. Let r = l + -1059.999999363. What is r rounded to seven dps? 0.0000006 Let x(i) = -4*i**2 - 4*i + 10. Let o be x(6). Let w = -18 - o. What is w rounded to the nearest 100? 100 Let h = -168 - 238. Let p = -405.99999751 - h. What is p rounded to seven decimal places? 0.0000025 Suppose 0 = -f + 3*f - 276. Let o be (f/(-8))/((-12)/1728). Suppose 4*m = -j - 4*j + o, -3*j = 3*m - 1488. Round j to the nearest 100. 500 Let l = -36 - -32. Let u be (-1 - (-1 - l))*22/2. What is u rounded to the nearest 10? -40 Let n = 9.52753 - 87.52671. Let y = n + 78. What is y rounded to four decimal places? 0.0008 Let i = -7811.508 + 7818.1080055. Let h = 6.6 - i. Round h to 6 decimal places. -0.000006 Suppose -31*j + 36*j = -2930. Let m = j + 1006. What is m rounded to the nearest 100? 400 Suppose -51381267 - 13018733 = -2*r. What is r rounded to the nearest 1000000? 32000000 Let l = -56 - -37.5. Let s = 0.5 - l. Let p = 18.99999968 - s. What is p rounded to 7 decimal places? -0.0000003 Let x(b) = -376000*b**3 - 9*b**2 - 44*b + 5. Let f be x(-5). What is f rounded to the nearest one million? 47000000 Suppose 138*q - 311280 = 98*q. Round q to the nearest one thousand. 8000 Let j = 0.85 + -1.92. Let b = -1.455 - j. Let o = b - -0.54. What is o rounded to 2 decimal places? 0.16 Let v = 342 - 186. Let n = 137.3 - v. Round n to the nearest integer. -19 Let q = -83 + 119. Let k be 5471451/q - 3/4. Suppose 0 = 3*a - i + 3274 + 110722, 4*a - 4*i = -k. What is a rounded to the nearest 10000? -40000 Let f = 0.3 + 0.5. Let q = 4.8 - f. Let b = q - 4.00096. What is b rounded to four decimal places? -0.001 Let g = 0.0798 + -0.079363. What is g rounded to four dps? 0.0004 Let y = -51 - -141. Let o = -335990437 - -335990346.9999922. Let u = o + y. What is u rounded to six decimal places? -0.000008 Let s(r) = -4*r**3 + 12*r**2 - 2*r - 11. Let k be s(-8). What is k rounded to the nearest 100? 2800 Let q = -5.36 - -8. Let p = -2.63642 + q. What is p rounded to 4 dps? 0.0036 Let r = 0.841856 + 0.157714. Let b = 1.3 + -0.3. Let v = r - b. What is v rounded to four dps? -0.0004 Suppose 0 = -2*r - y - y - 32, y = 5*r + 92. Let b = r + -110. Round b to the nearest 10. -130 Let k(i) be the third derivative of -i**5/60 - 11*i**4/24 - 13*i**3/6 + 6*i**2. Let j be k(-11). Let h = -13 - j. Round h to the nearest 100. 0 Let l = -15.7779 + 13.878. Let x = -20.9 + 19. Let a = l - x. Round a to three decimal places. 0 Let i(n) = -1859*n**2 + 115*n + 24. Let w be i(24). What is w rounded to the nearest one million? -1000000 Let n = -191 - -330. Let a = 80 - n. Let d = -63.7 - a. What is d rounded to the nearest integer? -5 Let v = -2446 + 5399. What is v rounded to the nearest 100? 3000 Let m = -2.07 + 2.06956. What is m rounded to five dps? -0.00044 Let b = 43.138 + 0.562. Let y = 42 - b. Let o = 1.69816 + y. Round o to four decimal places. -0.0018 Suppose -3*n - 2174400 = 33*n. Round n to the nearest 10000. -60000 Let c = -878435 + 878527.0093. Let m = 0.67 - 92.67. Let z = c + m. Round z to 3 dps. 0.009 Let r be 2 - 1 - -4 - 0. Suppose -5*h + 2425 = 5*g, 2*h + 0*h = -r*g + 2410. Let s be 1425/(((-21)/g)/7). Round s to the nearest ten thousand. -230000 Let s = -294.93666 + 295. What is s rounded to 3 dps? 0.063 Suppose -53 - 22 = -5*d. Let y be 18/(-30)*d/(-1). Suppose y*q + 678 = 6*q. What is q rounded to the nearest ten? -230 Suppose -g - 5160 + 1148 = 4*s, 2*s + 16006 = -4*g. Let l be (3756 - 6)/((-6)/g). Round l to the nearest one million. 3000000 Let t = -15456526.000071 + 15456565. Let j = -113 - -152. Let q = j - t. What is q rounded to five decimal places? 0.00007 Let h = 235 - 165. Let z be 5599980/h + 4/14. Round z to the nearest 10000. 80000 Let d = -236813763 - -236813615.000059. Let b = -22 - 126. Let l = b - d. Round l to five dps. -0.00006 Let f = -31.7 + 32.588. Round f to 1 decimal place. 0.9 Let w = 341.0000183 + -341. Round w to five dps. 0.00002 Let t = 0.99 - 56.99. Let k = 83 + t. Let x = -26.9999928 + k. Round x to six dps. 0.000007 Let m = 132.06 + -3.06. Let l = 131.72 - m. Let q = l + -0.02. What is q rounded to the nearest integer? 3 Let u = 1172.08 - 1182. What is u rounded to the nearest integer? -10 Let q = -0.0876 - -0.04525. Let x
{ "pile_set_name": "DM Mathematics" }
9, l? 2/9 Suppose 4*r = q + 93, -3*r - 90 = -7*r - 2*q. Let j = r + -21. What is the closest to -2 in 0.4, j, 2/11? 2/11 Let t = -0.01 - 0.99. Let g be 2 + 100/(-42) + 34/51. Which is the closest to t? (a) g (b) -1/5 (c) 0.3 b Let t = -412 - -413. Which is the closest to t? (a) -3 (b) 1 (c) -4 (d) 14/3 b Let d = -3.702 + -1.298. What is the closest to -3 in 2/5, d, 2/13, 1/20? d Let u be 1/(-4) + (-21)/(-12). Let m = 13.85 - 14.8. Let w = -1.25 - m. Which is the closest to -2/5? (a) u (b) w (c) 5 b Let o = -453 + 469.3. Let d = 43 + -27. Let h = o - d. What is the closest to 9 in h, -2, -0.1? h Suppose 0 = -6*r - 322 - 80. Let q = r + 133/2. Let j = -0.1 - -1.1. Which is the closest to q? (a) 4 (b) 1/4 (c) j b Let l = 72 - 160. Let f = l + 92. What is the nearest to -2/5 in f, -1/2, 4/5? -1/2 Let f = 38 + -37.64. Let p = 0.56 - f. Which is the closest to p? (a) 5 (b) -0.1 (c) 0.4 c Let u = -797/4 + 199. What is the closest to 1 in u, -3, -2? u Let w = -2 - -1.9. Let p = -1209 - -1210. Which is the closest to w? (a) p (b) -3/13 (c) 0.4 b Let g = -0.039 + -0.161. Which is the closest to 1/5? (a) 0.1 (b) -5 (c) -0.05 (d) g a Let r = -10 - -10.1. Let o = 1185 - 1184.7. Which is the nearest to r? (a) -8 (b) 1/7 (c) o b Let o = -40.9 - -1.9. Let r = -39.3 - o. Which is the closest to 1.1? (a) -2 (b) r (c) 2 c Let t = -0.1 - -0.07. Let m = 3.03 + t. Let z = 35 + -34.9. What is the closest to -1/4 in m, z, -4? z Let v be (340/45)/4 + -2. What is the closest to 1/4 in -0.1, 5/2, v, -0.4? -0.1 Suppose -3*i + 3 = 0, -5*i + 4 = -4*t - 1. Suppose t = -3*s + s. Let n = 1 - 1.4. Which is the nearest to s? (a) 2 (b) n (c) 7 b Let m be (-948)/(-14) - 10/(-35). Let x be 4/14 - m/(-56). Suppose -3*s = s + 8. Which is the nearest to s? (a) x (b) -1/6 (c) 3 b Let n be (10/(-7) - -1)*(-22)/99. What is the nearest to 0 in -2/5, n, 30, 0.3? n Let b = -11/119 + 4/17. Let t be 1/9 - 1 - (-276)/1242. What is the nearest to t in 0.12, 0.3, b? 0.12 Let i = -0.3 + 0.5. Let r = -0.024 - 0.046. Let x = -0.03 + r. What is the closest to i in x, -0.3, -2? x Let k = 7.2 + -7.6. Let y = 50 + -50.2. What is the nearest to y in k, 6/7, 2? k Let p be 6 - (-13 - -13 - 1). Let m = 5 - 4. Which is the nearest to m? (a) p (b) 1/6 (c) -4 b Let v = 412 + -406. What is the closest to -3 in 0, v, 1, 0.5? 0 Let f = -0.307 - 0.013. Let l = -0.62 - f. What is the closest to -0.1 in -8, l, -0.5? l Let m = -2.03 + 1.63. What is the closest to 2 in -0.5, m, -7? m Let l = 26 - 31. Let r be (2 + (-24)/9)*(2 + -1). Which is the nearest to 1? (a) l (b) r (c) -0.5 c Let w = 1574 - 1583. Which is the closest to -1/3? (a) -6 (b) -5 (c) w b Suppose -2*n - 14 = -4*n. Let a = n + -6. Let f be (-6 - -7)*a*5. What is the closest to -0.2 in -1, 2/3, f? -1 Let t be 27/(-6)*104/(-156). What is the closest to -2/5 in 0.03, 2/5, -0.3, t? -0.3 Let h = -138 + 116.1. Let b = h + 22. What is the closest to b in -2, 1/2, 1/14? 1/14 Let c = 0.4182 + -0.2182. What is the closest to 1.09 in 1/3, c, -5? 1/3 Suppose 0 = 3*l - 2*z - 4, l + 5 = -3*z - 1. Suppose 5*n = -l*n - 5. Let g = -178/3 - -60. Which is the closest to -2? (a) 0 (b) n (c) g b Let u be 7/(-49)*(-21)/12. Which is the nearest to 3/10? (a) 1/3 (b) -9 (c) -2 (d) u a Let y = -5 - -6. Let t = -0.0399 + -0.0601. What is the nearest to -0.1 in -3, t, y? t Let y be (2/(-8))/(21/(-24)). Let i = -1079 - -1080. Which is the closest to 1? (a) 0.1 (b) i (c) y b Let d be -4 - (-36*(-3)/(-51) + -2). What is the closest to 0.1 in -5, 1/4, d? d Let t = -1 - -2.8. Let r = t - 2. Let c be 8/(-20) + (-23)/5. What is the nearest to 1 in c, r, 3? r Let h = -6.4 + 6.5. Suppose 4*o = -o - 50. Let a be (-1)/o*5/3. What is the closest to 1 in h, 5, a? a Let q = 7.5 - 7.5. What is the nearest to q in 2, 1/20, 8? 1/20 Let h = 3.04 + -0.04. Let r = 49/138 + -1/46. Let v = 300 - 2397/8. What is the closest to r in h, 1, v? v Let u = -13.8 + -57.2. Let n = u + 71.4. What is the nearest to 1/3 in 0.2, n, -4? n Let n be ((-9)/(-36) - 8/32)/(-3). Let x = -1.3 + 0.3. Which is the closest to x? (a) n (b) -1/2 (c) -0.2 b Let g = -0.0315 + 0.2315. Which is the closest to -132? (a) g (b) 3 (c) 2/5 a Let y = -580 - -2902/5. Which is the nearest to 1? (a) -2 (b) y (c) 5 (d) 1/6 b Let n = 130 + -779/6. Which is the nearest to -1/3? (a) -5 (b) n (c) 5 b Let m = -11.3 + 11. Let d = -0.7 + -0.3. Let q = 0 + d. Which is the nearest to q? (a) m (b) -2 (c) -0.5 c Let p = -2 - -2. Let s = 26 - 25.959. Let j = -17.959 - s. Which is the closest to -0.1? (a) -0.5 (b) p (c) j b Let v = 7 + -3. Suppose 3*f - 21 = -4*q, -2*q + 12 - 3 = f. Which is the closest to f? (a) v (b) -3/8 (c) -3 a Let o = 234 + -937/4. What is the nearest to -2/9 in o, -60, 2/9? o Suppose 22*w - 25*w = 0. What is the nearest to -1 in -0.2, -0.4, w, -4.9? -0.4 Suppose 7 = -14*w + 13*w, 4*w - 14 = 6*t. Let y = 0 - -0.1. What is the nearest to y in t, -1/2, -0.4? -0.4 Let u = -6 + 4. Let m = -0.112 + -0.498. Let j = 0.71 + m. What is the nearest to -1 in u, 2, j? u Let o be ((-4)/(-27) - (-2)/(-18))*-6. Which is the nearest to 6? (a) o (b) 1 (c) 1/4 (d) 5 d Let n be (12 - 8) + (-2 + 0)/1. Which is the nearest to 0.1? (a) -2/11 (b) 1/3 (c) n (d) 2/3 b Let o = 3.92 - -0.08. Let i = 16.83 - 0.33. Let p = 16 - i. Which is the closest to 0.1? (a) p (b) 2/3 (c) o b Let w be (-29)/(957/44)*18/(-40). Which is the closest to 1? (a) 25 (b) w (c) -3 (d) -0.4 b Let v = -2 + 1. Let n = -0.088 + 0.432. Let z = 0.056 + n. Which is the closest to v? (a) 0 (b) -0.4 (c) z b Suppose 0*l = 2*l + 3*i + 25, 0 = -3*l - 4*i - 35. What is the closest to -5 in -0.3, l, 0.5? l Suppose 4*t + 48 = 3*v, t - 2*t + 21 = 2*v. Let g be (v/(3/(-1)))/(-6). Let h = 3 + -2.8. Which is the closest to 1? (a) h (b) g (c) -5 b Let h = -227 - -227. Let f be ((-1)/468)/(4/(-366)). Let y = -7/39 - f. Which is the closest to h? (a) 0 (b) y (c) -4 a Let c = -238.5 + 239. Let o = -5 + 2. What is the closest to -14 in o, 0.3, c? o Let f = -132 - -132. What is the closest to -2/3 in -0.1, 0.1, f? -0.1 Let n = -1.48 + 1.58. Let o = 59.5 - 59. What is the nearest to n in -1/11, o, 4? -1/11 Let h be -5 - -1 - (13 + 195/(-12)). Let g be -4*(-2)/4 - 2. What is the nearest to g in h, 0, 3? 0 Let u = 40.5 - 41. Which is the closest to -0.1? (a) 8 (b) u (c) -2 b Let g = 0.5 - -1.5. Suppose 14 = 2*m + 4*x, -3*m + 6 = x - 5. Suppose 2*l = m*l + 1. Which is the nearest to l? (a) 1 (b) 0 (c) g b Let w = 3.6 + -3.55. Let j = -0.35 - w. Let t = -14.5 + 14. Which is the nearest to 0.1? (a) 2/3 (b) j (c) t b Let u = -1.07 + 0.07. Let l = 3252 + -3252. Let k = 0 + 0.1. What is the closest to l in 2/3, u, k? k Let m = -45 - -46.4. Which is the closest to m? (a) 1 (b) -5 (c) -1/3 a Let s = -0.3 - 1.7. Let o be (0 - 1/3)/(92/(-828)). Suppose 0 = 5*y + 3*g - 34, 0*y + 5*g - 35 = -4*y. What is the nearest to s in o, 0.5, y? 0.5 Let o = 0.255 - -0.245. Which is the nearest to -4/7? (a) o (b) -0.3 (c) -1 b Let w = -0.206 - 0.094. Which is the nearest to -9? (a) w (b) 1/4 (c) -0.4 c Let z be 6*(-4 + 905/225). Let s = -2 - -3. Let f be (2/(-15))/((-3)/(-5)). Which is the closest to s? (a) z (b) f (c) -3 a Let s = -34 + 34.3. Let d = 19.6 - 20. Which is the closest to s? (a) -4 (b) d (c) -3/2 b Let x = 31 + -32. Let l = 7 - 6. What is the nearest to l in -37, x, 1? 1 Let i be (1 + 1 - 3) + 27. Let d be 6 + -3 + (-82)/i. Let y be (1*2)/((-32)/(-4)). Which is the closest to y? (a) d (b) 0.4 (c) -3 b Let p = -2 - 0. Let h = -542 - -542.1. Which is the nearest to p? (a) -0.07 (b) h (c) 0 a Let d = -11.519 + 0.019. Let q = d - -8.5. What is the closest to -1 in q, 1/4, -5? 1/4 Let m be (-5*8/(-240))/((-9)/(-6)). What is the closest to 3 in m, -1/4, -2/3? m Let t = 0.3 - 0.2. Let f = 31/92 - 2/23. Let d = 37.1 - 37.3. Which is the nearest to f? (a) d (b) 2/11 (c) t b Let i = 131.47 + -132. Let o = 2.53 + i. Let k = -2.5 + 3. Which is the nearest to 0? (a) -1 (b) o (c) k c Let s = -338 + 340. Let r be (-1*1)/(-3 - 2). Which is the nearest to -2? (a) r (b) s (c) 0 c Let w = 137 - 145.1. Let y = w - -4.1. What is the closest to 2 in 1/6, y, -3/2? 1/6 Let k = 875 + -876. What is th
{ "pile_set_name": "DM Mathematics" }
late (-30)/(-120)*-4*6/(-8). 3/4 What is (-16)/24*-3*(-1)/3? -2/3 Evaluate (-21)/24*(-36)/(-126). -1/4 What is ((-1)/(-2))/((-2)/240*-6)? 10 Evaluate 1*(-9)/(-12)*(-4)/6. -1/2 Evaluate (-2)/(-2)*-1*1*-1. 1 Evaluate -2*(-84)/(-4)*1/6. -7 What is 6/(-18)*2/3? -2/9 What is (-60)/(-525)*((-100)/(-8))/(-5)? -2/7 What is (4/(-5))/(56/(-20))? 2/7 What is the value of (2/8*8)/(18/27)? 3 Calculate (-4*27/360)/((-3)/(-4)). -2/5 What is the value of (-5)/(-1)*(-40)/(-50)? 4 What is ((-4)/12)/(4/(-12))? 1 (2/(-1*10))/((-264)/165) 1/8 What is ((5/21)/(-5))/((-2)/(-4))? -2/21 ((-4)/(-30))/((-28)/(-126)*-1) -3/5 Calculate (-3*(-2)/(-15))/((-24)/5). 1/12 Evaluate (-2)/(-3)*40/(-16)*3. -5 ((-21)/(-10))/(-7)*(-52)/(-117) -2/15 What is the value of ((-6)/5)/(7/(560/24))? -4 (27/((-4860)/(-24)))/((-9)/(-15)) 2/9 What is 10/8*(-4)/10? -1/2 Calculate (2*-2)/((-4)/8*2). 4 Evaluate (10/18)/(-10*5/60). -2/3 4/(-6)*((-675)/10)/(-9) -5 Calculate 3/17*(100/(-15))/(-10). 2/17 Evaluate ((-4)/16)/(2*1/(-4)). 1/2 (4/2)/(1/((-5)/(-20))) 1/2 (-1*(-1)/(-1))/(1/(-4)) 4 Evaluate 1*(-1)/2*0. 0 What is 3*3/(-45)*(-60)/(-32)? -3/8 What is (15/(-20))/((-4)/32*-1)? -6 What is the value of 2/((-1)/10*-4)? 5 Evaluate ((-4)/(36/(-15)))/(7/(-21)). -5 Calculate (4/6)/((-15)/36*-2). 4/5 What is (-6)/10*(-115)/(-46)? -3/2 What is (4/(-60))/(8/(-480)*-10)? -2/5 What is the value of ((-3)/(-9))/((-5)/(-15))*-1? -1 What is 2/(-12)*(-5)/((-125)/20)? -2/15 Calculate 24/(-24)*(-2)/(-6). -1/3 What is the value of (-35)/30*2/(-14)? 1/6 (-154)/77*4*1 -8 What is the value of (18/27)/(4/54)? 9 Calculate ((-72)/(-54))/(20/135*1). 9 Evaluate 31/341*((-55)/(-2))/5. 1/2 What is the value of ((176/24)/(-11))/(19/(-3))? 2/19 Calculate (((-308)/33)/14)/(-6). 1/9 What is the value of 2/((9/(-12))/((-18)/(-16)))? -3 What is -1*(-5)/75*-9? -3/5 Evaluate (1/39)/((-11)/(858/13)). -2/13 Calculate (2/(-5))/((-7)/(-70)). -4 Calculate ((-8)/(-2))/(-8)*0. 0 Evaluate (-15)/9*324/(-90). 6 Calculate 1*7/(245/(-10)). -2/7 What is the value of 4/(-3)*(-21)/210? 2/15 What is the value of 8/(-60)*-6*(-2)/4? -2/5 What is the value of 0/((-12)/9*-6)? 0 ((-13)/(-12))/13*15/5 1/4 What is the value of (-5)/(-45)*3*15? 5 Calculate (5/((-45)/(-6)))/((-8)/3). -1/4 Calculate ((-2)/3)/((-4)/24). 4 Calculate ((-7)/(14/8))/42. -2/21 Evaluate ((-6)/(-72))/(3/(-24)). -2/3 Evaluate 32/(-56)*(-2)/((-32)/56). -2 What is 2/1*8/(-4)? -4 What is (-18)/(-2)*1*6/(-36)? -3/2 Calculate 2/(-60)*8/2. -2/15 What is the value of ((-56)/42)/(8/12)? -2 What is 0/(((-36)/(-9))/4)? 0 Calculate (-1*1)/(((-1)/1)/1). 1 ((-144)/72)/((-2)/2) 2 Evaluate 36/(-4)*5*8/60. -6 What is the value of 6/14*(-12)/108*-6? 2/7 Evaluate 3/10*-15*7/(-189). 1/6 ((-60)/24)/(15/(-12)) 2 261/522*(-2)/(-2)*-2 -1 What is (-816)/48*6/(-51)? 2 (2/8)/((1314/(-216))/(-73)) 3 -1*(28/49)/(8/28) -2 Calculate (-4)/3*((-9)/21)/(-1). -4/7 What is the value of 16/(-6)*((-174)/72)/29? 2/9 (4/(-6))/((-84)/(-63))*-6 3 What is ((-108)/(-243))/((-3)/(-27))? 4 What is (-2)/(-1)*-2*(-3)/(-12)? -1 Calculate -1*(-15)/(630/12). 2/7 Calculate ((-1)/((50/4)/5))/(-1). 2/5 Evaluate (84/56)/(-3*10/8). -2/5 What is (-1)/((-145)/(-58)*4/50)? -5 What is (-141)/(-94)*(-1)/(-18)*8? 2/3 Calculate 15/1*(-132)/(-990). 2 What is the value of ((-7)/2*44/77)/1? -2 What is the value of (5/2)/(2*5/(-20))? -5 Evaluate 0/4*(-4)/4. 0 What is the value of ((-2)/4)/((-36)/(-6))? -1/12 What is ((-35)/7)/(2/2)? -5 (3/6)/((-30)/(-8))*-5 -2/3 What is 3/(-2)*9/((-135)/10)? 1 What is the value of (-44)/99*(-6)/(-4)? -2/3 -3*3/(-36)*16 4 What is (-9)/108*8/5? -2/15 Calculate ((-4)/6)/(11*(-2)/(-165)). -5 Evaluate (3/8)/(15*2/100). 5/4 ((-3)/12)/((-10)/(-16)) -2/5 ((-25)/2)/(-5)*(-186)/155 -3 What is the value of ((-2)/(12/(-9)))/(6/(-8))? -2 Evaluate (-53)/106*4/(-14). 1/7 (-2)/(-12)*-8*(-13)/(-52) -1/3 Evaluate ((-70)/(-21))/5*18/4. 3 Evaluate (2/16*-2)/((-21)/21). 1/4 What is 9/(108/(-32))*(-3)/(-2)? -4 (-10)/28*15*18/1350 -1/14 What is the value of ((-2)/5)/((52/8)/(-13))? 4/5 What is the value of ((9/8)/(-9))/(-1*1)? 1/8 5/(-30)*(168/(-20))/7 1/5 What is ((-11)/33)/((-10)/(-12))? -2/5 What is 2*(-4)/20*(-3)/6? 1/5 What is the value of (505/202)/(2/4)? 5 What is the value of 48/(-12)*3*1/(-4)? 3 What is the value of (1*-1*1)/(116/(-348))? 3 Evaluate ((-1)/1)/((-17)/2). 2/17 ((0/4)/(3/(-3)))/(-2) 0 Evaluate (-4*(-33)/(-22))/(4/2). -3 Evaluate (-9)/(-45)*(-4)/6. -2/15 What is ((-282)/(-1645))/(4/14)? 3/5 Calculate ((-15)/(-210))/((-1)/(-4)). 2/7 (18/(-15))/((-6)/(-40)*-2) 4 Evaluate (36/90)/(2/40). 8 Evaluate (((-795)/(-90))/53)/((-3)/2). -1/9 What is (5/(-10))/(2/48*-4)? 3 What is the value of 42/36*(-2)/7*12? -4 What is ((-3)/(-9))/((-28)/12)? -1/7 What is the value of 30/35*(-14)/(-8)? 3/2 What is the value of ((-500)/150)/((-2)/3)? 5 What is the value of (6/(-8))/((-261)/(-464))? -4/3 What is (-18*(-4)/126)/(2/(-7))? -2 Calculate (4/(-54))/(8/24). -2/9 (3/(3/5))/1 5 Evaluate (4/(-6))/(18/81). -3 Calculate (-27*3/(-18))/(9/(-12)). -6 What is (-8)/3*66/44? -4 Evaluate (9/(-27))/((-5)/15*-7). -1/7 Evaluate (-3)/12*(-8)/(-4). -1/2 Evaluate (-1)/((-3)/(-27)*-3). 3 What is (-415)/(-83)*2/(-8)? -5/4 What is the value of -1*6/(3/((-9)/(-6)))? -3 What is the value of 6*(4/28)/(22/(-77))? -3 Evaluate ((-35)/56)/(3/(-12)). 5/2 Calculate 4*(6/(-1))/132. -2/11 ((-56)/35)/(4/10) -4 What is 6*-1*(600/90)/4? -10 Evaluate 55/(-10)*(-4)/44. 1/2 Evaluate ((-9)/(-7))/1*(-114)/(-513). 2/7 What is the value of ((8/10)/(-4))/((-77)/220)? 4/7 Evaluate ((-24)/(-75))/(6/(-15)). -4/5 Calculate (4/(-195))/(148/(-370)). 2/39 What is the value of (-6)/28*(-140)/(-40)? -3/4 Calculate (22/(-924))/(-4*(-3)/(-42)). 1/12 Calculate (410/164)/((-2)/4). -5 Calculate -8*(-6)/(-24)*4. -8 6*(-270)/36*1/5 -9 What is the value of (3/(-12))/((-132)/48)? 1/11 What is ((-9)/6)/(25/(-40)*-4)? -3/5 Calculate ((-18)/(-135))/((-4)/6). -1/5 What is the value of 335/(-938)*(-6)/5*-1? -3/7 What is the value of (-17)/(-34)*(-3)/((-27)/(-15))? -5/6 Calculate 1/(-4*4/(-16)*-1). -1 Evaluate ((-5)/(-25)*2)/(30/25). 1/3 Calculate (-3)/(-1)*2/(-3). -2 Evaluate 0/3*(-1)/2. 0 ((-2)/(-12)*2)/(5/15) 1 Evaluate ((-10)/(-100))/((-1)/8). -4/5 What is 1/((-6)/(-3))*18/(-3)? -3 (3*(-8)/60)/(9/(-135)) 6 Calculate (1/(-2))/(-1)*8. 4 0/(30/30*-1*1) 0 Calculate (-4)/16*15/(-15). 1/4 What is the value of 1/((-5)/(-120)*-4)? -6 Calculate (-583)/2332*1/1*1. -1/4 Calculate ((-2)/(-10))/(4/8). 2/5 What is the value of 2*-1*2*5/20? -1 ((-6)/12)/((-6)/(-3)) -1/4 7/(84/6)*16 8 ((-27)/(-18))/((-3)/(-40)*5) 4 Evaluate (-8)/45*355/(-284). 2/9 (8/(-6))/(918/81) -2/17 What is 5/(-10)*(-2)/(-4)? -1/4 Evaluate 2*((-16)/(-72))/(1/9). 4 What is (-24)/4*1/(-2)? 3 What is the value of (-1)/3*(-36)/(-10)? -6/5 What is -1*2*(-18)/(-180)? -1/5 What is (-4)/(-42)*(-999)/(-222)? 3/7 What is the value of 6/(-3)*20/40? -1 Calculate 1*((-15)/20)/((-1)/(-4)). -3 Evaluate ((-36)/(-30))/(2/(-5))*2. -6 What is the value of 1/(-5)*(-95)/19? 1 What is the value of ((-28)/98)/((-8)/(-14))? -1/2 Calculate ((-1)/(6/(-4)))/(408/153). 1/4 What is ((13/(-117))/(3/(-9)))/1? 1/3 Calculate (8/(-78))/((-11)/(264/(-16))). -2/13 (6/(-2))/(9/12) -4 Calculate (5*(-6)/(-180))/((-1)/2). -1/3 5/(-20)*(-2)/(-4) -1/8 What is the value of 8/(-2)*(-27)/18? 6 3*((-3)/10)/((-1224)/340) 1/4 Calculate 18*5/(-6)*72/(-270). 4 What is the value of (-4)/2*((-513)/18)/(-19)? -3 What is 2*(-33)/22*1? -3 Calculate (-11)/484*-11*-36. -9 Calculate ((-6)/(-4))/((-22)/132). -9 What is the value of 0*-5*7/210? 0 Evaluate (-3)/(-24)*1*62/31. 1/4 What is 12/8*((-8)/(-6))/(-1)? -2 What is ((-128)/(-288))/((-3)/9)? -4/3 Evaluate (7/21)/((-1)/9). -3 What is the value of 7/(-56)*6/1? -3/4 Evaluate (-78)/702*0/(-3). 0 Calculate 10*(-3)/(-60)*0. 0 Evaluate (1/(-2))/((-2)/(40/(-35))). -2/7 ((-924)/126)/((-2)/3) 11 What is the value of (-3)/(-3)*-20*(-26)/(-65)? -8 What is the value of 81/(-30)*(-8)/12*5? 9 Evaluate ((-21)/(-9))/(-7)*0. 0 Evaluate (4/2)/12*(-8)/1. -4/3 Evaluate (((-6)/(-15))/1)/(2/(-1)). -1/5 Calculate 3*(21/(-14))/(12/(-8)). 3 Evaluate 2/(-14)*-2*28/(-48). -1/6 Calculate 6*3/9*-1. -2 What is the value of (-36)/(-9)*(-21)/144*-4? 7/3 Evaluate ((-6)/((-48)/(-4)))/((-2)/(-12)). -3 Calculate (-10)/(-18)*24/40. 1/3 What is 2*4/(-12)*3? -2 Evaluate (-3)/(-4)*2/
{ "pile_set_name": "DM Mathematics" }
prob of sequence swsb when four letters picked without replacement from {s: 5, b: 4, w: 2}? 2/99 Calculate prob of sequence hd when two letters picked without replacement from {y: 2, j: 2, b: 1, c: 1, h: 3, d: 3}. 3/44 Two letters picked without replacement from {r: 3, n: 4, i: 5}. What is prob of sequence rr? 1/22 Four letters picked without replacement from {d: 5, k: 10, m: 4}. Give prob of sequence dddd. 5/3876 Four letters picked without replacement from {h: 12, j: 7}. What is prob of sequence jhjh? 77/1292 Three letters picked without replacement from {y: 5, q: 2, t: 1, h: 8, p: 1}. What is prob of sequence tqt? 0 Calculate prob of sequence lnln when four letters picked without replacement from {l: 7, v: 2, w: 3, n: 5}. 1/68 Two letters picked without replacement from {d: 4, g: 16}. What is prob of sequence gg? 12/19 Calculate prob of sequence nn when two letters picked without replacement from {e: 3, n: 7}. 7/15 Calculate prob of sequence qq when two letters picked without replacement from {l: 1, q: 14}. 13/15 Four letters picked without replacement from {s: 9, y: 7}. What is prob of sequence yyys? 9/208 Three letters picked without replacement from dxgjqxgxxqogqx. Give prob of sequence jgg. 1/364 What is prob of sequence lurl when four letters picked without replacement from jlbjbrrjljjurbbb? 1/7280 Three letters picked without replacement from {e: 1, r: 17}. Give prob of sequence rer. 1/18 Two letters picked without replacement from {g: 4, d: 1, v: 2, m: 1}. Give prob of sequence gm. 1/14 Three letters picked without replacement from {p: 1, k: 14}. Give prob of sequence kkk. 4/5 Three letters picked without replacement from {h: 3, g: 1, p: 1, v: 10}. What is prob of sequence pgv? 1/273 Two letters picked without replacement from grrrggrrrrrr. Give prob of sequence gr. 9/44 Two letters picked without replacement from {y: 5, p: 3, a: 2, v: 1, e: 3, r: 6}. What is prob of sequence rp? 9/190 Three letters picked without replacement from {l: 1, y: 2, r: 1}. Give prob of sequence yrl. 1/12 Calculate prob of sequence af when two letters picked without replacement from aaaaaaaafafafa. 33/182 Calculate prob of sequence rvcg when four letters picked without replacement from rgvcc. 1/60 What is prob of sequence sss when three letters picked without replacement from ssssciscsssscss? 33/91 What is prob of sequence eeje when four letters picked without replacement from {e: 18, j: 2}? 8/95 Three letters picked without replacement from akaaxkhvddxkdakxkaxk. Give prob of sequence dxk. 1/95 Four letters picked without replacement from {s: 1, x: 2, t: 1, w: 1, k: 11}. What is prob of sequence swxt? 1/21840 Calculate prob of sequence zbz when three letters picked without replacement from zzzbzzzzzzy. 4/55 What is prob of sequence xjbb when four letters picked without replacement from jbbbbxbbjjbbbbjbbj? 11/1224 Three letters picked without replacement from wwtwwwwwwwtwwtww. What is prob of sequence wwt? 39/280 Four letters picked without replacement from ztzzzztgztttzzatz. Give prob of sequence zztz. 9/170 Two letters picked without replacement from {g: 4}. Give prob of sequence gg. 1 Three letters picked without replacement from ayhthhhhtddddsdds. What is prob of sequence sdh? 1/68 What is prob of sequence hcs when three letters picked without replacement from cphshscschpshphphpc? 16/969 Two letters picked without replacement from ebepcpbbceeebeeegcc. What is prob of sequence eg? 4/171 Calculate prob of sequence hh when two letters picked without replacement from {v: 1, m: 1, g: 3, h: 2}. 1/21 Two letters picked without replacement from jjj. What is prob of sequence jj? 1 Calculate prob of sequence apx when three letters picked without replacement from {a: 1, x: 1, p: 1}. 1/6 Two letters picked without replacement from hgragaagqgaarghrgg. Give prob of sequence gh. 7/153 What is prob of sequence sbs when three letters picked without replacement from bbbbbbsbsbbbbbbbbbb? 1/171 Two letters picked without replacement from llccnck. What is prob of sequence ll? 1/21 Two letters picked without replacement from {n: 1, v: 2, z: 4}. What is prob of sequence zv? 4/21 Calculate prob of sequence rq when two letters picked without replacement from vrrwvvqqrwqvvrq. 8/105 Three letters picked without replacement from {o: 1, q: 1, y: 1, x: 2}. What is prob of sequence oyx? 1/30 What is prob of sequence bbb when three letters picked without replacement from {l: 7, b: 8, c: 3}? 7/102 Four letters picked without replacement from {j: 5, m: 10, i: 1, z: 1}. What is prob of sequence zijm? 5/5712 Two letters picked without replacement from {e: 1, j: 1, r: 1, z: 2}. Give prob of sequence zj. 1/10 What is prob of sequence sas when three letters picked without replacement from ssasassssaa? 28/165 What is prob of sequence ewy when three letters picked without replacement from {w: 2, e: 8, x: 3, y: 2}? 16/1365 Four letters picked without replacement from {s: 7, v: 1, r: 1, u: 2, g: 7}. Give prob of sequence rusg. 49/36720 Two letters picked without replacement from {y: 6, a: 2}. Give prob of sequence yy. 15/28 Three letters picked without replacement from xszxxxxzxxsxxxsxxx. Give prob of sequence xzx. 13/204 Two letters picked without replacement from iaiiaiiiaii. What is prob of sequence ia? 12/55 Two letters picked without replacement from {q: 3, n: 11, c: 4}. Give prob of sequence nn. 55/153 What is prob of sequence scya when four letters picked without replacement from cnaynsfafsfyfss? 2/4095 Two letters picked without replacement from vvvvmvvvvmmmmvvvvvvv. What is prob of sequence mm? 1/19 Two letters picked without replacement from {s: 1, i: 4, m: 6}. Give prob of sequence is. 2/55 What is prob of sequence qt when two letters picked without replacement from {c: 7, s: 2, g: 8, t: 1, q: 2}? 1/190 Calculate prob of sequence yww when three letters picked without replacement from ywwwyy. 3/20 Three letters picked without replacement from {w: 1, q: 1, m: 1, u: 2, i: 2, o: 2}. What is prob of sequence wiq? 1/252 What is prob of sequence iss when three letters picked without replacement from {a: 3, s: 3, i: 3, z: 1, v: 1}? 1/55 What is prob of sequence jumu when four letters picked without replacement from {j: 3, m: 1, u: 2, r: 6}? 1/1980 Two letters picked without replacement from {f: 1, n: 2, r: 5, p: 3, k: 3, x: 6}. Give prob of sequence fp. 3/380 Four letters picked without replacement from {y: 2, q: 4}. What is prob of sequence qqqq? 1/15 Two letters picked without replacement from {c: 4, w: 2, a: 5, r: 2, i: 7}. Give prob of sequence aw. 1/38 Calculate prob of sequence xrt when three letters picked without replacement from rtkkdrffxdkttkfdfrdf. 1/760 Three letters picked without replacement from oyppoooy. Give prob of sequence yyp. 1/84 Two letters picked without replacement from gggvmrjjgjgmmmggjsgg. Give prob of sequence mg. 9/95 Two letters picked without replacement from chcbmqbcqcchjqb. What is prob of sequence jb? 1/70 What is prob of sequence mssa when four letters picked without replacement from amaamammmsasaaaanaa? 55/46512 Three letters picked without replacement from {v: 1, k: 2, p: 4, g: 4, w: 3, z: 1}. What is prob of sequence pkv? 4/1365 Calculate prob of sequence dddd when four letters picked without replacement from ddddd. 1 What is prob of sequence ki when two letters picked without replacement from {k: 1, e: 1, v: 4, i: 1, w: 1, c: 9}? 1/272 Four letters picked without replacement from oooooppoopoooooooooo. Give prob of sequence oooo. 28/57 Three letters picked without replacement from fwfppff. Give prob of sequence ppw. 1/105 Two letters picked without replacement from buubbbaugbbmdabgb. What is prob of sequence md? 1/272 Two letters picked without replacement from {v: 2, c: 2}. What is prob of sequence vv? 1/6 Four letters picked without replacement from mlfxbqfbm. What is prob of sequence mbfx? 1/378 Calculate prob of sequence om when two letters picked without replacement from tofwmwowmwdfoww. 1/35 Two letters picked without replacement from {y: 7, k: 1, i: 1, a: 1, c: 3}. Give prob of sequence ck. 1/52 Four letters picked without replacement from sssllsllslsssssslss. What is prob of sequence slll? 65/3876 Calculate prob of sequence ub when two letter
{ "pile_set_name": "DM Mathematics" }
nt from tttctttttttttttttt. 7/9 Four letters picked without replacement from uuhusufhuh. What is prob of picking 1 u, 2 h, and 1 f? 1/14 What is prob of picking 1 d and 1 m when two letters picked without replacement from {g: 1, m: 6, f: 4, h: 1, k: 3, d: 1}? 1/20 Four letters picked without replacement from ararraaaaraaaraaraa. What is prob of picking 3 r and 1 a? 65/969 Three letters picked without replacement from {o: 5, t: 15}. What is prob of picking 3 t? 91/228 Two letters picked without replacement from {d: 5, v: 11}. Give prob of picking 2 v. 11/24 Calculate prob of picking 1 f, 1 g, and 1 r when three letters picked without replacement from ffffrrgrlxzrlrrrxffr. 4/95 Two letters picked without replacement from wwwccwwivccicccicc. Give prob of picking 1 i and 1 w. 5/51 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from lyymylssqdlllqs. 1/21 Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}. 1 What is prob of picking 3 j and 1 m when four letters picked without replacement from {m: 7, j: 7}? 35/143 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 3, f: 8}. 24/55 Two letters picked without replacement from wubappual. Give prob of picking 1 p and 1 u. 1/9 Two letters picked without replacement from uiyyiyiiyyyyii. What is prob of picking 1 y and 1 i? 6/13 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {w: 2, v: 2, y: 2, i: 3, k: 2, s: 1}. 1/33 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {t: 2, s: 10}. 10/33 Four letters picked without replacement from {e: 1, d: 1, t: 1, q: 1, n: 1}. What is prob of picking 1 n, 1 e, 1 t, and 1 q? 1/5 Four letters picked without replacement from oeeeoeeoeo. What is prob of picking 4 e? 1/14 Calculate prob of picking 1 x, 1 k, and 1 o when three letters picked without replacement from qozxzqzxxxqvxoxqxk. 7/408 What is prob of picking 2 c when two letters picked without replacement from {c: 15, r: 4}? 35/57 Two letters picked without replacement from thuhthtcthetce. Give prob of picking 2 h. 6/91 What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 2, k: 1}? 1/3 What is prob of picking 1 o and 1 i when two letters picked without replacement from ioioiiiiioiooi? 45/91 Three letters picked without replacement from {a: 2, m: 1, h: 3, w: 1, v: 3, x: 2}. Give prob of picking 2 x and 1 a. 1/110 Four letters picked without replacement from qqqqqqqqqbqqb. Give prob of picking 1 b and 3 q. 6/13 Calculate prob of picking 2 h when two letters picked without replacement from rhrhchehh. 5/18 Four letters picked without replacement from iiiaaabaiamiii. Give prob of picking 3 i and 1 b. 5/143 Calculate prob of picking 1 p and 2 t when three letters picked without replacement from jtjtajapajp. 2/165 Calculate prob of picking 4 l when four letters picked without replacement from {m: 2, l: 4}. 1/15 What is prob of picking 2 a when two letters picked without replacement from rhaakajkkjkahan? 2/21 Two letters picked without replacement from {k: 1, q: 4, e: 2, b: 6}. What is prob of picking 1 b and 1 e? 2/13 What is prob of picking 1 y and 1 m when two letters picked without replacement from rmrrtty? 1/21 Three letters picked without replacement from ggvvgvvggvvvgvvgvgg. What is prob of picking 3 v? 40/323 Three letters picked without replacement from {a: 4, e: 4, u: 2}. Give prob of picking 1 e and 2 a. 1/5 Two letters picked without replacement from {p: 6, x: 2}. Give prob of picking 2 x. 1/28 Calculate prob of picking 2 a when two letters picked without replacement from oaaaaooa. 5/14 Three letters picked without replacement from {n: 17, s: 3}. What is prob of picking 2 s and 1 n? 17/380 Two letters picked without replacement from zwzwe. Give prob of picking 2 w. 1/10 Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}. 1 Three letters picked without replacement from {n: 2, a: 1, r: 1, m: 1, o: 1, w: 2}. What is prob of picking 2 w and 1 n? 1/28 Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 7, e: 7}. 7/13 What is prob of picking 1 o and 1 y when two letters picked without replacement from {o: 7, y: 1}? 1/4 Calculate prob of picking 2 q when two letters picked without replacement from {q: 7}. 1 Four letters picked without replacement from {c: 5, y: 3, d: 5}. What is prob of picking 3 d and 1 y? 6/143 Two letters picked without replacement from {u: 1, r: 2, a: 7, g: 4}. Give prob of picking 1 g and 1 r. 8/91 Two letters picked without replacement from iiyiyiqiyyyqyiiqiyqy. Give prob of picking 2 i. 14/95 Three letters picked without replacement from {z: 1, j: 1, x: 1, d: 1, b: 1}. What is prob of picking 1 x, 1 b, and 1 j? 1/10 Calculate prob of picking 2 s when two letters picked without replacement from stttttssssqssts. 4/15 Four letters picked without replacement from {o: 1, l: 1, u: 2, k: 6, s: 5, f: 1}. Give prob of picking 1 f, 1 k, 1 u, and 1 s. 3/91 Three letters picked without replacement from czyycyzcyhgyzcyyg. Give prob of picking 1 z and 2 g. 3/680 Calculate prob of picking 3 f and 1 p when four letters picked without replacement from {w: 6, e: 8, p: 1, f: 3}. 1/3060 Four letters picked without replacement from {h: 2, k: 4, w: 3}. Give prob of picking 1 h, 1 w, and 2 k. 2/7 Two letters picked without replacement from asnsiassnisennsas. Give prob of picking 2 s. 21/136 What is prob of picking 4 q when four letters picked without replacement from {o: 1, q: 14}? 11/15 Calculate prob of picking 1 o and 2 b when three letters picked without replacement from bzzqoooorqrssqbbbs. 1/34 Four letters picked without replacement from {s: 1, g: 5, o: 2, z: 1, f: 4, r: 2}. What is prob of picking 1 o, 1 z, and 2 f? 4/455 Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {q: 2, h: 4, e: 3, g: 2, a: 2, p: 1}. 4/91 Calculate prob of picking 2 f, 1 c, and 1 a when four letters picked without replacement from fuucufaaffu. 2/55 What is prob of picking 1 a and 1 m when two letters picked without replacement from {a: 3, w: 1, m: 1}? 3/10 Two letters picked without replacement from {b: 6, n: 3, a: 4, w: 4}. What is prob of picking 2 w? 3/68 Four letters picked without replacement from kxxkxxkxkvxkkkxkkkkk. What is prob of picking 1 v and 3 x? 7/969 Calculate prob of picking 3 r when three letters picked without replacement from {a: 2, r: 4}. 1/5 Three letters picked without replacement from yyyyywyyywyyyyw. What is prob of picking 3 w? 1/455 Two letters picked without replacement from lllzlzlz. What is prob of picking 2 l? 5/14 Three letters picked without replacement from {g: 4, p: 1, o: 3, r: 1, n: 4, t: 4}. Give prob of picking 1 o and 2 g. 9/340 What is prob of picking 1 j, 2 z, and 1 q when four letters picked without replacement from qzqjzjzz? 12/35 Two letters picked without replacement from scssswwwcwskssswws. What is prob of picking 1 s and 1 k? 1/17 Calculate prob of picking 2 d when two letters picked without replacement from ynnngngndndfnjgjj. 1/136 What is prob of picking 2 q when two letters picked without replacement from {h: 8, o: 2, x: 1, q: 7}? 7/51 Two letters picked without replacement from nnnnnnnnnnnnnnnenn. What is prob of picking 1 e and 1 n? 1/9 Two letters picked without replacement from hlllbflnflflnb. Give prob of picking 1 l and 1 h. 6/91 Three letters picked without replacement from aaallalaaaaaaaaaaaaa. What is prob of picking 3 a? 34/57 Calculate prob of picking 1 n and 2 y when three letters picked without replacement from {z: 1, q: 1, n: 3, y: 2, g: 2, w: 10}. 1/323 Two letters picked without replacement from {f: 5, w: 2, o: 4}. What is prob of picking 2 o? 6/55 Two letters picked without replacement from bxxbbxbbxbxxb. What is prob of picking 1 x and 1 b? 7/13 Calculate prob of picking 3 g when three letters picked without replacement from gfyygffgyygg. 1/22 Calculate prob of picking 1 h, 1 z, and 1 s when three letters picked without replacement from {i: 4, z: 3, o: 1, s: 4, h: 1, r: 5}. 1/68 Calculate prob of picking 1 n, 2 g, and 1 i when four le
{ "pile_set_name": "DM Mathematics" }
+ 25. Let t be -15 + 1 + (-2)/(-1). Let z(a) = 4*a + 5. Determine t*z(v) + w*b(v). 2*v Let p(t) = t. Suppose -3*k = 10 - 13. Let o(d) = 15*d. Give k*o(a) - 18*p(a). -3*a Let o(j) = -3*j**2 + 10*j - 1. Let p(b) = -4*b**2 + 10*b - 1. Give 6*o(f) - 5*p(f). 2*f**2 + 10*f - 1 Suppose -2*w - 5*d = -25, w + 30 - 10 = 4*d. Let v = 1 - w. Let s(t) be the first derivative of t + 1. Let x(m) = -2*m - 3. Calculate v*x(f) + 2*s(f). -2*f - 1 Suppose -3*u + 7 + 8 = 0. Suppose g - u*o - 14 = 0, 3*g - 4*g - 4*o = 31. Let s = 1 - 3. Let r(i) = i - 1. Let y(t) = -5*t + 5. Give g*r(h) + s*y(h). -h + 1 Let c(g) = 9*g**3 + 9*g**2 + 4*g. Let o(n) be the first derivative of -n**4 - 4*n**3/3 - n**2 - 5. Let q = 4 + -6. Determine q*c(d) - 5*o(d). 2*d**3 + 2*d**2 + 2*d Suppose -g = -0 - 2. Suppose g*n + 21 = -n. Let x(t) = 4*t**2 + 3. Let a(w) = -9*w**2 - 7. Determine n*x(u) - 3*a(u). -u**2 Let t(n) = n - 1. Let x(m) = 72*m + 4. Determine 4*t(z) + x(z). 76*z Let m = 9 - 6. Let x(j) = -m + 1 + 3*j + 1 - 3. Let v(p) = 10*p**3 + p. Let w be v(1). Let s(r) = 16*r - 21. Calculate w*x(h) - 2*s(h). h - 2 Let c(z) = 4*z - 3. Let y(m) = -m + 1. Let s(t) = 2*c(t) + 6*y(t). Let b(f) = 3*f + 1. What is 3*b(r) - 4*s(r)? r + 3 Let o be 12 + (-1)/(2/((-8)/(-4))). Let k(t) = -8*t**2 + 7. Let y(z) = 4*z**2 - 4. Calculate o*y(p) + 6*k(p). -4*p**2 - 2 Let t(x) = -x**3 - x**2 + 1. Let z(v) = v**2. Suppose 5*q = -4*c + 5, -12 = -q + 2*c + 3. Let g be ((-39)/15 + 3)*q. Calculate g*t(b) + 4*z(b). -2*b**3 + 2*b**2 + 2 Let q(o) = -3*o**3 + 5*o**2 + 2*o - 8. Let w(b) = -2*b**3 + 3*b**2 + b - 5. What is 5*q(g) - 8*w(g)? g**3 + g**2 + 2*g Let g(p) be the third derivative of -p**4/24 + p**3/6 + p**2. Let a(k) = 3*k - 2. Let n be 8 + -14 + 10 + -7 + 1. What is n*a(x) - 4*g(x)? -2*x Let m(j) = 3*j**2 + 2*j**3 + 5*j - 3 - 5*j**2 + 3*j**2 - 4*j**2. Let a be (-2)/(1/(-3)*2). Let s(h) = -5*h**3 + 8*h**2 - 14*h + 8. Calculate a*s(d) + 8*m(d). d**3 - 2*d Let l(t) be the third derivative of -t**6/60 - 5*t**3/6 + 7*t**2 + 3*t. Let v(w) = 6*w**3 + 16. Let h be -1 + (16/(-2))/(-2). Determine h*v(a) + 10*l(a). -2*a**3 - 2 Let g(h) = 11*h**2 + 7*h - 3. Let u(a) = -5*a**2 - 3*a + 2. What is -3*g(x) - 7*u(x)? 2*x**2 - 5 Let w(r) = r**3 + r**2 + 1. Let k(x) = -x**3 + x. Let i(y) = -7*y**3 + 4*y**2 + 6*y + 1. Let t(u) = -i(u) + 6*k(u). Give t(m) + w(m). 2*m**3 - 3*m**2 Let s(n) = 4*n - 7. Let a(p) = 3*p - 6. Suppose 10 = 4*u - 9*u. Let w be 62/(-10) + u/(-10). Determine w*a(m) + 5*s(m). 2*m + 1 Let y(w) = 2*w. Let i(t) = -t - 4. Let z(p) = i(p) - y(p). Let v(m) = 4*m + 5. What is -2*v(d) - 3*z(d)? d + 2 Let x(k) = 2*k + 11. Let a(j) = -6*j - 32. Determine -6*a(o) - 17*x(o). 2*o + 5 Let c = 17 + -13. Let m(v) = v**2 - 1. Let y(d) be the second derivative of -5/2*d**2 + 1/3*d**4 - 1/20*d**5 - 1/6*d**3 + 0 + 3*d. Determine c*m(u) - y(u). u**3 + u + 1 Let w(h) = 5*h - 1. Let d(l) = 11*l - 2. Let m(t) = -6*d(t) + 13*w(t). Let y(q) = -q - 3. Calculate -3*m(v) + y(v). 2*v Let l(d) = -d. Let i(f) = 0*f**2 + 5*f + 3*f**2 - 5*f**2 + 0*f. Calculate i(w) + 6*l(w). -2*w**2 - w Let l(t) = -10*t**2 + 7. Suppose 3*p + 6 + 34 = 4*a, 0 = -5*a - 2*p + 27. Let n(j) = -7*j**2 + 5. Give a*n(z) - 5*l(z). z**2 Let u(s) = 7*s - 4. Let q(g) = 0*g - 10*g - 13 + 10 + 9. What is -5*q(o) - 7*u(o)? o - 2 Suppose w = -7*w - 48. Let u(g) = 4*g - 7. Let r(l) = -2*l + 4. What is w*u(t) - 11*r(t)? -2*t - 2 Let b be (-28)/(-12)*-6*1. Let f be 4/b - (-108)/(-14). Let q = -11 - f. Let o(z) = 2*z. Let t(l) = -l. Give q*o(r) - 5*t(r). -r Let m(c) = 0*c + 5*c - 5*c + c. Let r(g) = -3*g. Calculate 6*m(q) + r(q). 3*q Let i(l) = -2*l**2 + 8*l - 7. Let j be i(4). Let n(t) = -7*t + 2. Let a(s) = -8*s + 2. Give j*n(q) + 6*a(q). q - 2 Let z(k) be the second derivative of 2/3*k**3 - k + 1/2*k**2 + 0. Let r(q) = q**3 - q + 1. Give -2*r(s) - z(s). -2*s**3 - 2*s - 3 Let l(j) be the second derivative of j**4/12 + 7*j**3/6 - 8*j. Let g(x) = x**2 + 6*x. Determine 7*g(m) - 6*l(m). m**2 Let r(l) = -2*l**2 - 5*l. Let q(j) be the third derivative of -j**4/24 + 20*j**2. Let t be 45/(-55) + (-2)/11. Determine t*r(h) + 6*q(h). 2*h**2 - h Let p(o) be the second derivative of 7*o**5/20 + 5*o**4/12 + 2*o**3/3 - 3*o**2 - 6*o. Let c(h) = -h**3 - h**2 - h + 1. Calculate -6*c(i) - p(i). -i**3 + i**2 + 2*i Let s(q) = q - 14. Let i be s(7). Let m(d) = -3*d - 5. Let w(y) be the first derivative of -3*y**2 - 9*y - 4. Calculate i*m(u) + 4*w(u). -3*u - 1 Let v(s) = -s**3 + 3*s**2 - 5. Let a be 2*1 - 49/7. Let f(b) = 2*b**3 - 5*b**2 + 8. What is a*f(q) - 8*v(q)? -2*q**3 + q**2 Let r(w) = 4*w**2 - 2*w + 1. Let q(o) = -5*o**2 + 2*o - 2. Determine -5*q(x) - 6*r(x). x**2 + 2*x + 4 Let h(v) = -4*v**2 - 7*v**2 - 6*v**2. Let f(u) be the second derivative of u**4/3 - 6*u. Suppose -2*a + 24 = -6*a. What is a*h(k) - 26*f(k)? -2*k**2 Let g(d) = 5. Let m(p) be the second derivative of p**3/6 + 11*p**2/2 - 23*p. Give 5*g(q) - 2*m(q). -2*q + 3 Let b(g) be the second derivative of g**5/20 + g. Let p(h) = h**2 + 4*h + 2. Let v = -1 - 3. Let t be p(v). Let o(j) = -j**3. What is t*o(w) + b(w)? -w**3 Let g be 3*2*(-1)/(-2). Let h(c) = 4 - 5*c + g*c - 5*c**2 + 2*c - c. Let o(b) = -b**2 + 1. What is -h(v) + 4*o(v)? v**2 + v Let p(c) = -11*c. Let t(d) = 4*d. Calculate -2*p(a) - 7*t(a). -6*a Let i(w) = 2*w**3 + 4*w + 5. Let v be 12/18*3/1. Let l(u) = 3*u**3 + 9*u - v*u**3 + u**3 + 2*u**3 + 11. What is -13*i(b) + 6*l(b)? -2*b**3 + 2*b + 1 Let r(k) = -17*k**2 + 4*k + 17. Let q(b) = 8*b**2 - 2*b - 8. Determine -13*q(l) - 6*r(l). -2*l**2 + 2*l + 2 Let l(d) = -15*d - 10. Let r(w) = 5*w + 3. What is 2*l(b) + 7*r(b)? 5*b + 1 Let q(o) = 5*o + 2. Let b(p) = -2*p - 1. Let s(n) = -13*b(n) - 6*q(n). Let x(z) = 9*z - 2. Determine 5*s(a) + 2*x(a). -2*a + 1 Let n(z) = 9*z**3 - 5*z**2 - 3*z - 7. Let c(s) = 4*s**3 - 2*s**2 - s - 3. Calculate 5*c(m) - 2*n(m). 2*m**3 + m - 1 Let m(s) = -9*s + 8. Let t(y) = 27*y - 23. Let q(o) = -7*m(o) - 2*t(o). Let n(p) = -8*p + 9. Give -7*n(z) - 6*q(z). 2*z - 3 Let q(o) = -2 - 4*o + 0 + 2*o + 0*o**2 - o**2. Let j(z) = z**2 - z - 1. Calculate 2*j(k) - q(k). 3*k**2 Let c(d) = -4*d**3 - 4*d. Let l(h) = 11*h**3 + 11*h. Suppose 4*a + w - 7 = 1, w + 19 = 5*a. Determine a*l(r) + 8*c(r). r**3 + r Let s(r) = 8*r**2 - 3. Let d(b) = -4*b**2 - 5 + 2*b**2 + 3 + 9*b**2. Give 6*d(l) - 5*s(l). 2*l**2 + 3 Let y(c) = -3*c**3 + 9*c**2 + 9. Let b(n) = -2*n**3 + 5*n**2 + 5. Suppose 3*p + 40 = -5*s, 0 = s + s + 10. What is p*y(z) + 9*b(z)? -3*z**3 Let n(k) = -3*k - 1. Let u(t) = -12*t - 4. Suppose -5*c + 4*c + 9 = 0. Give c*n(d) - 2*u(d). -3*d - 1 Let v(g) = -g**3 + g**2 + g - 1. Let a(c) = c**3 - 3*c**2 + 5*c + 2. What is a(q) + 3*v(q)? -2*q**3 + 8*q - 1 Let p = 11 - 8. Suppose 0*v = -p*v + 27. Let u be v - 1 - (-14)/(-7). Let h(m) = 7*m**2 + m + 4. Let s(x) = x**2 + 1. Determine u*s(r) - h(r). -r**2 - r + 2 Let m(c) = 13*c + 5. Let d(h) = 12*h + 6. Determine -4*d(q) + 5*m(q). 17*q + 1 Let m(z) = 2*z**3 - 3*z**2 - 2*z - 3. Let s(c) = 2*c**3 - 4*c**2 - c - 4. Determine -4*m(f) + 3*s(f). -2*f**3 + 5*f Let f(d) = -8*d**2 - 2*d + 5. Let o(b) = -9*b**2 - 2*b + 6. Calculate 4*f(n) - 3*o(n). -5*n**2 - 2*n + 2 Let k(c) = -3*c**2 + 5*c. Let a(r) = -2*r**2 + 4*r + 1 - 1. Calculate 5*a(f) - 4*k(f). 2*f**2 Suppose 0 = 2*h - 8, 5*h = -3*w + w + 28. Let c(u) = 2*u**2 + 1. Let x(z) = -5*z**2 - 3. What is w*x(b) + 11*c(b)? 2*b**2 - 1 Let k(o) = -o**2 - o - 1. Let a(z) = z**2 + 3*z - 20. Calculate -a(s) - 3*k(s). 2*s**2 + 23 Let k(u) = -u**2 + 3. Let p(l) be the first derivative of l - 2 - 1/2*l**2. Give k(w) - 2*p(w). -w**2 + 2*w + 1 Suppose -2*t = -3*t - x, 3*t - 2*x + 10 = 0. Let g(h) = 5*h - 1. Let z(d) = d. Give t*g(i) + 9*z(i). -i + 2 Let p(w) = 59*w. Let t(x) = -324*x. What is 27*p(f) + 5*t(f)? -27*f Let r(y) be the first derivative of y**2/2 - 4*y - 1. Let t(z) be the third derivative of z**4/24 - 7*z**3/6 - 8*z**2. Calculate -5*r(f) + 3*t(f). -2*f - 1 Let h(s) = s + 3. Let p(a) = -a**3 - 2*a**2 + 0*a + 4*a**2 - 4 - a + 2*a**2. Let u be p(3). Let b(i) = -5 - u*i - 4*i + 2*i + 3*i. Determine 3*b(q) + 5*h(q). 2*q Let m(c) = 4*c**3 + 3*c**2 - 3. Let f(n) = -6*n**3 - 5*n**2 + 5. Let p be (-35)/(-7) - (-1 - -1). Give p*f(y) + 8*m(y). 2*y**3 - y**2 + 1 Let a(z) = -21*z**3 + 6*z**2 + 16*z. Let u = 19 + -21. Let p(m) = 4*m**3 - m
{ "pile_set_name": "DM Mathematics" }
ctor of 37683 and 901. 53 Calculate the highest common divisor of 6974155 and 5. 5 Calculate the greatest common divisor of 30338 and 165. 11 Calculate the highest common divisor of 6655 and 7205. 55 Calculate the greatest common factor of 58416 and 192. 48 Calculate the highest common divisor of 10998 and 5694. 78 What is the highest common factor of 88 and 4768? 8 What is the highest common divisor of 47446 and 1246? 14 What is the highest common divisor of 23779 and 3913? 301 Calculate the highest common factor of 20 and 90716. 4 What is the greatest common divisor of 888 and 161394? 222 Calculate the highest common divisor of 7 and 1644. 1 What is the greatest common divisor of 188510 and 28? 14 What is the highest common divisor of 6644 and 88? 44 Calculate the greatest common factor of 1010 and 722655. 505 Calculate the greatest common factor of 591470 and 242. 22 What is the greatest common divisor of 1587 and 40457? 23 Calculate the greatest common divisor of 61214 and 241. 241 Calculate the highest common factor of 361455 and 15. 15 What is the highest common divisor of 4982 and 583? 53 Calculate the greatest common factor of 1536 and 468. 12 What is the highest common divisor of 228038 and 34? 34 What is the greatest common divisor of 73800 and 25050? 150 What is the greatest common divisor of 924 and 21? 21 Calculate the greatest common factor of 280 and 303632. 56 What is the highest common factor of 1081167 and 199? 199 Calculate the greatest common factor of 32 and 824. 8 What is the greatest common divisor of 21450 and 1980? 330 What is the highest common factor of 3 and 353? 1 What is the highest common factor of 3636 and 1044? 36 What is the greatest common factor of 246519 and 49? 49 Calculate the highest common divisor of 33 and 299398. 11 Calculate the greatest common factor of 45952 and 4. 4 What is the highest common factor of 27381 and 12? 3 Calculate the greatest common divisor of 146761 and 3104. 97 What is the highest common divisor of 970 and 5120? 10 Calculate the greatest common factor of 9801 and 12906. 27 Calculate the highest common factor of 402472 and 56. 56 Calculate the greatest common divisor of 12411 and 315. 63 What is the highest common factor of 35934 and 58830? 318 What is the greatest common divisor of 1 and 1787? 1 Calculate the greatest common factor of 27 and 1338. 3 Calculate the greatest common divisor of 25 and 1161485. 5 What is the greatest common factor of 216 and 13224? 24 Calculate the highest common factor of 7111288 and 376. 376 Calculate the highest common divisor of 22048 and 96. 32 Calculate the greatest common divisor of 2246840 and 160. 40 What is the highest common divisor of 222696 and 4104? 216 Calculate the highest common divisor of 6345 and 3015. 45 What is the greatest common factor of 84 and 103950? 42 Calculate the greatest common factor of 571220 and 20. 20 What is the greatest common factor of 55448 and 87? 29 What is the highest common divisor of 154 and 20846? 14 Calculate the highest common divisor of 14652 and 226884. 444 What is the highest common divisor of 28 and 6528? 4 What is the greatest common divisor of 620547 and 393? 393 Calculate the greatest common factor of 12005 and 63. 7 Calculate the greatest common divisor of 10653 and 15423. 159 What is the highest common divisor of 141102 and 2262? 78 What is the greatest common factor of 472 and 32472? 8 Calculate the highest common divisor of 50523 and 5. 1 Calculate the highest common divisor of 214 and 130219. 107 Calculate the highest common divisor of 135 and 293. 1 What is the highest common divisor of 2760 and 320? 40 Calculate the highest common divisor of 248 and 634. 2 What is the highest common factor of 222003 and 105923? 1451 Calculate the greatest common factor of 6317128 and 116. 116 What is the greatest common divisor of 24 and 3558? 6 Calculate the greatest common factor of 4400 and 3550. 50 Calculate the greatest common factor of 5529 and 23571. 291 What is the highest common factor of 137640 and 23560? 1240 Calculate the greatest common divisor of 46656 and 15296. 64 Calculate the highest common factor of 45 and 843975. 45 What is the greatest common divisor of 3240 and 442584? 648 Calculate the highest common factor of 37200 and 768. 48 Calculate the highest common divisor of 32 and 143044. 4 Calculate the greatest common factor of 175 and 3761. 1 Calculate the greatest common divisor of 4780 and 81380. 20 Calculate the greatest common factor of 387 and 267073. 43 What is the highest common factor of 188185 and 305? 305 Calculate the greatest common factor of 10647 and 171. 9 Calculate the greatest common divisor of 1079586 and 1332. 666 What is the highest common divisor of 252 and 95949? 63 What is the greatest common factor of 30 and 8610? 30 Calculate the highest common divisor of 70 and 57690. 10 Calculate the greatest common factor of 293172 and 924. 132 Calculate the greatest common factor of 61401 and 14137. 211 What is the highest common divisor of 25502 and 57224? 622 Calculate the highest common divisor of 1342 and 50630. 122 What is the highest common factor of 1780 and 855? 5 Calculate the highest common divisor of 21735 and 36570. 345 What is the highest common factor of 45855 and 540? 45 What is the highest common factor of 1073 and 138011? 29 Calculate the greatest common factor of 3344 and 240. 16 What is the highest common divisor of 7206 and 804? 6 Calculate the highest common factor of 1866386 and 62. 62 Calculate the highest common factor of 4118 and 406. 58 Calculate the greatest common divisor of 7147 and 35. 7 What is the greatest common factor of 3591 and 2489? 19 What is the highest common divisor of 266 and 18011? 7 What is the greatest common divisor of 56 and 46984? 56 What is the highest common factor of 112 and 278704? 16 What is the greatest common factor of 34 and 212466? 34 What is the highest common factor of 1310398 and 654? 218 Calculate the greatest common divisor of 1575 and 48195. 315 Calculate the highest common factor of 140 and 239000. 20 Calculate the highest common divisor of 99 and 79068. 33 Calculate the greatest common factor of 116446 and 790. 158 What is the highest common divisor of 1176 and 10332? 84 What is the greatest common factor of 90 and 174010? 10 What is the greatest common divisor of 1672 and 4712? 152 Calculate the highest common divisor of 1018832 and 1184. 592 What is the highest common divisor of 146 and 3681609? 73 What is the highest common factor of 184 and 17526? 46 Calculate the greatest common divisor of 82140 and 1036. 148 Calculate the greatest common factor of 34 and 68434. 2 Calculate the greatest common divisor of 18 and 24093. 9 Calculate the greatest common factor of 8 and 1702608. 8 What is the greatest common divisor of 15 and 74505? 15 Calculate the highest common divisor of 49 and 14103229. 49 Calculate the greatest common factor of 3230 and 78280. 190 What is the greatest common factor of 13050 and 1470? 30 Calculate the highest common factor of 3162 and 217. 31 Calculate the greatest common factor of 31992 and 387. 129 Calculate the highest common factor of 11309 and 989. 43 Calculate the highest common factor of 849224 and 24. 8 What is the greatest common factor of 2344 and 557286? 586 What is the greatest common divisor of 30673 and 37? 37 What is the highest common factor of 57996 and 13689? 81 What is the highest common factor of 1653 and 78242? 551 What is the highest common divisor of 12 and 35560? 4 Calculate the greatest common divisor of 18 and 1683. 9 Calculate the greatest common factor of 5206 and 76. 38 What is the highest common divisor of 650232 and 120? 24 Calculate the highest common factor of 462 and 5523210. 462 What is the highest common factor of 7902 and 18? 18 What is the greatest common factor of 1465 and 450? 5 What is the greatest common divisor of 7061318 and 968? 242 Calculate the greatest common divisor of 41184 and 2028. 156 Calculate the greatest common factor of 72982 and 5915. 91 What is the greatest common factor of 20 and 5145540? 20 What is the highest common factor of 136 and 14488? 8 Calculate the greatest common factor of 1452 and 51744. 132 What is the highest common
{ "pile_set_name": "DM Mathematics" }
4 of a tonne? 12750 What is six fifths of a week in minutes? 12096 What is 207561.3mm in kilometers? 0.2075613 What is 3.474596 micrograms in tonnes? 0.000000000003474596 How many milligrams are there in ninety-three quarters of a gram? 23250 What is seventy-seven halves of a microgram in nanograms? 38500 Convert 1699.044 months to decades. 14.1587 How many kilograms are there in 17.89162mg? 0.00001789162 What is 3/5 of a litre in millilitres? 600 How many decades are there in 6.628125 years? 0.6628125 How many meters are there in 0.137252 centimeters? 0.00137252 How many micrometers are there in 762992.3 nanometers? 762.9923 What is 9/10 of a litre in millilitres? 900 How many tonnes are there in 992.0674 nanograms? 0.0000000000009920674 What is 21/2 of a meter in millimeters? 10500 What is 1/4 of a millennium in months? 3000 How many millilitres are there in three tenths of a litre? 300 How many milliseconds are there in three fifths of a second? 600 How many years are there in 3/40 of a millennium? 75 Convert 4.131795um to centimeters. 0.0004131795 Convert 0.7514113 micrograms to kilograms. 0.0000000007514113 Convert 0.6830157 decades to years. 6.830157 What is 3/32 of a millimeter in nanometers? 93750 What is 575.6408 days in seconds? 49735365.12 Convert 0.9871644 centuries to millennia. 0.09871644 How many decades are there in 18/5 of a century? 36 How many months are there in 49/6 of a decade? 980 Convert 0.2088701 millilitres to litres. 0.0002088701 How many months are there in 7/8 of a millennium? 10500 What is 11/10 of a gram in milligrams? 1100 How many millilitres are there in one quarter of a litre? 250 How many seconds are there in twenty-seven fifths of a hour? 19440 How many nanoseconds are there in 80.99746 weeks? 48987263808000000 How many micrograms are there in sixty-three eighths of a milligram? 7875 What is twenty-nine fifths of a millennium in decades? 580 What is 54/5 of a litre in millilitres? 10800 How many millimeters are there in 31/2 of a meter? 15500 What is three tenths of a centimeter in millimeters? 3 How many millilitres are there in thirteen quarters of a litre? 3250 How many centimeters are there in 32547.53 millimeters? 3254.753 How many milligrams are there in 4606.294 micrograms? 4.606294 Convert 5816095.2 seconds to hours. 1615.582 How many micrograms are there in 26.06303 kilograms? 26063030000 What is 5/4 of a meter in millimeters? 1250 What is eleven tenths of a microgram in nanograms? 1100 What is twenty-five quarters of a kilogram in grams? 6250 How many kilograms are there in 0.638837ng? 0.000000000000638837 How many seconds are there in 76836.31 hours? 276610716 Convert 8.673188cm to meters. 0.08673188 How many meters are there in 9.986884 kilometers? 9986.884 Convert 381031.5 years to decades. 38103.15 What is 10.62225ms in microseconds? 10622.25 How many grams are there in 6.95457kg? 6954.57 How many centimeters are there in 18.65313 kilometers? 1865313 How many grams are there in 49/4 of a kilogram? 12250 How many nanometers are there in 69066.1 micrometers? 69066100 What is 6/25 of a millennium in months? 2880 What is 26/5 of a millisecond in microseconds? 5200 What is thirty-one fifths of a centimeter in micrometers? 62000 What is 37/2 of a kilogram in grams? 18500 How many milligrams are there in twenty-seven quarters of a gram? 6750 How many weeks are there in 6750996.84ns? 0.0000000111623625 How many tonnes are there in 0.0596038kg? 0.0000596038 How many litres are there in 3831.832 millilitres? 3.831832 How many minutes are there in 50/7 of a week? 72000 Convert 0.6072237t to grams. 607223.7 How many hours are there in 67865.274s? 18.851465 Convert 0.136793 millennia to months. 1641.516 How many millilitres are there in 14.73378l? 14733.78 What is twenty-one quarters of a millennium in months? 63000 Convert 465825.1 decades to years. 4658251 What is 47/4 of a meter in centimeters? 1175 How many years are there in twenty-nine halves of a millennium? 14500 Convert 6.382202 meters to micrometers. 6382202 What is 17533.9t in micrograms? 17533900000000000 How many millilitres are there in six fifths of a litre? 1200 How many micrometers are there in 37/2 of a millimeter? 18500 Convert 76798.34 tonnes to kilograms. 76798340 What is 14173.1 litres in millilitres? 14173100 Convert 479542.3l to millilitres. 479542300 What is 6/25 of a centimeter in micrometers? 2400 How many litres are there in 0.7539572ml? 0.0007539572 Convert 0.1877912 millilitres to litres. 0.0001877912 How many milliseconds are there in 529459.4 days? 45745292160000 How many hours are there in 6353.372 days? 152480.928 What is thirty-three fifths of a millennium in decades? 660 What is 4.781924 weeks in days? 33.473468 What is 13/4 of a litre in millilitres? 3250 What is 165455.2494 milliseconds in weeks? 0.0002735701875 What is 7/6 of a century in months? 1400 Convert 15.053613 months to decades. 0.125446775 Convert 88113.3 weeks to days. 616793.1 What is three tenths of a microgram in nanograms? 300 How many years are there in fourty-eight fifths of a century? 960 Convert 7.331057ms to nanoseconds. 7331057 What is 1/28 of a week in minutes? 360 How many centuries are there in 53/5 of a millennium? 106 How many milligrams are there in 1788.661ng? 0.001788661 What is 9.628473 millilitres in litres? 0.009628473 How many centuries are there in 571266.9 decades? 57126.69 Convert 11594.95 micrometers to meters. 0.01159495 How many millilitres are there in 7336.054l? 7336054 What is 985319.9 hours in nanoseconds? 3547151640000000000 Convert 634445.2 millennia to decades. 63444520 What is fifteen quarters of a centimeter in micrometers? 37500 Convert 71.73412 milligrams to micrograms. 71734.12 What is 56.9437155ns in weeks? 0.00000000000009415296875 How many centuries are there in 0.2834397 millennia? 2.834397 What is thirty-one halves of a litre in millilitres? 15500 What is 648.6606l in millilitres? 648660.6 Convert 729.9076mg to kilograms. 0.0007299076 What is 2967.555s in microseconds? 2967555000 Convert 88353.52t to kilograms. 88353520 What is 96.07201 centuries in years? 9607.201 What is sixty-seven fifths of a centimeter in millimeters? 134 What is 888.3432ml in litres? 0.8883432 What is 51520.43 centuries in years? 5152043 How many minutes are there in 51/2 of a day? 36720 Convert 626923.7 millennia to years. 626923700 How many nanometers are there in 0.7957774 millimeters? 795777.4 Convert 1.761712 litres to millilitres. 1761.712 What is 50.66854cm in millimeters? 506.6854 What is 11/2 of a meter in millimeters? 5500 What is fifty-nine quarters of a litre in millilitres? 14750 How many minutes are there in four thirds of a hour? 80 How many micrometers are there in 992.9597 nanometers? 0.9929597 What is three fifths of a milligram in micrograms? 600 Convert 8.429706 seconds to microseconds. 8429706 How many months are there in 23/3 of a millennium? 92000 How many millilitres are there in 5/4 of a litre? 1250 What is 7/2 of a century in months? 4200 How many millilitres are there in 12/25 of a litre? 480 How many centimeters are there in 9/16 of a kilometer? 56250 How many millilitres are there in 7/8 of a litre? 875 What is 0.1209331t in milligrams? 120933100 Convert 26.5178 years to months. 318.2136 How many meters are there in 1/5 of a kilometer? 200 What is 0.4586405 litres in millilitres? 458.6405 Convert 7254.775 tonnes to milligrams. 7254775000000 What is 0.1563181 micrograms in milligrams? 0.0001563181 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is fourty-six fifths of a gram in milligrams? 9200 What is 64319.62 days in nanoseconds? 5557215168000000000 How many millilitres are there in 5.839452 litres? 5839.452 What is twenty-nine halves of a microgram in nanograms? 14500 How many minutes are there in thirteen quarters of a week? 32760 What is 2/9 of a day in minutes? 320 What is 11/2 of a litre in millilitres? 5500 What is 0.1196402mm in meters? 0.0001196402 What is 7.067525 micrometers in meters? 0.000007067525 What is twenty-three eighths of a microsecond in nanoseconds? 2875 What is 3/10 of a litre in millilitres? 300 What is seven quarters of a day in hours? 42 Convert 71878.9
{ "pile_set_name": "DM Mathematics" }
sequence ole when three letters picked without replacement from womzwzzozezwlww? 1/1365 Two letters picked without replacement from {e: 6, v: 1, r: 2, d: 1, m: 2}. Give prob of sequence mv. 1/66 Three letters picked without replacement from {l: 2, r: 1, a: 2, h: 11}. What is prob of sequence rlh? 11/1680 What is prob of sequence ou when two letters picked without replacement from mrourm? 1/30 Three letters picked without replacement from {p: 4, f: 3}. What is prob of sequence fpf? 4/35 Four letters picked without replacement from {t: 1, i: 7, w: 4, r: 2}. Give prob of sequence iwrr. 1/429 Calculate prob of sequence lllr when four letters picked without replacement from lrlurllr. 3/70 Two letters picked without replacement from {v: 2, i: 2, u: 8, m: 3, l: 5}. Give prob of sequence uu. 14/95 Two letters picked without replacement from {j: 1, m: 5, h: 5, v: 2, o: 1, c: 1}. Give prob of sequence ov. 1/105 What is prob of sequence hz when two letters picked without replacement from {w: 2, e: 1, g: 1, z: 2, h: 1}? 1/21 Two letters picked without replacement from cencuncncsncnsc. Give prob of sequence un. 1/42 What is prob of sequence ax when two letters picked without replacement from {j: 10, x: 2, a: 2}? 2/91 What is prob of sequence iop when three letters picked without replacement from {u: 8, c: 2, k: 2, o: 2, p: 1, i: 2}? 1/1020 What is prob of sequence vo when two letters picked without replacement from ffvffvffvffvoffvfv? 1/51 Two letters picked without replacement from {j: 9, n: 7}. Give prob of sequence nj. 21/80 Two letters picked without replacement from {u: 4, y: 5, q: 1, t: 1}. What is prob of sequence ut? 2/55 What is prob of sequence quc when three letters picked without replacement from lcnnlnlnqllnqlnulnl? 1/2907 Three letters picked without replacement from ccccccccwccccccwcccc. Give prob of sequence wcc. 17/190 What is prob of sequence yy when two letters picked without replacement from yyyyyyyyyy? 1 What is prob of sequence buib when four letters picked without replacement from isbuub? 1/90 Four letters picked without replacement from {b: 4, s: 4, p: 1, c: 1, f: 1, x: 7}. What is prob of sequence xspc? 7/18360 Calculate prob of sequence thhh when four letters picked without replacement from {a: 1, t: 1, l: 2, y: 1, h: 4}. 1/126 Three letters picked without replacement from qoquh. What is prob of sequence uoq? 1/30 What is prob of sequence den when three letters picked without replacement from vdvvnnaavlnnnvve? 1/672 What is prob of sequence tx when two letters picked without replacement from {q: 7, v: 4, l: 3, x: 1, t: 1}? 1/240 Four letters picked without replacement from {e: 1, g: 3, x: 1, r: 1, k: 1}. What is prob of sequence kxke? 0 What is prob of sequence fp when two letters picked without replacement from ccffcfcfpcfcfff? 4/105 Three letters picked without replacement from {n: 1, t: 1, a: 1, e: 1, r: 1}. What is prob of sequence tnr? 1/60 Three letters picked without replacement from ttltttttttttttttttt. Give prob of sequence ltt. 1/19 Calculate prob of sequence een when three letters picked without replacement from eenecenceeeecc. 2/39 Calculate prob of sequence mt when two letters picked without replacement from wlmtlttlnnsmtntntt. 7/153 Two letters picked without replacement from dwwwqcqwfdwqcqwcwc. Give prob of sequence qd. 4/153 What is prob of sequence yyy when three letters picked without replacement from yywyyywywyyywwywyyw? 220/969 Calculate prob of sequence vzc when three letters picked without replacement from bvczrxv. 1/105 Three letters picked without replacement from {u: 9, x: 7}. Give prob of sequence uux. 3/20 Calculate prob of sequence ib when two letters picked without replacement from {i: 10, b: 4}. 20/91 Calculate prob of sequence hr when two letters picked without replacement from {e: 1, h: 2, r: 2, l: 1, i: 1}. 2/21 Four letters picked without replacement from iiiiiiiiuiiiiiuiiiii. What is prob of sequence iuui? 1/190 What is prob of sequence qqm when three letters picked without replacement from {j: 2, c: 4, m: 1, q: 3}? 1/120 What is prob of sequence lqqq when four letters picked without replacement from qqqqqnnqnqnnnqqqlq? 11/816 Four letters picked without replacement from {t: 5, s: 3}. What is prob of sequence ssts? 1/56 Three letters picked without replacement from ttttttttt. What is prob of sequence ttt? 1 What is prob of sequence cccc when four letters picked without replacement from ccccccccc? 1 Two letters picked without replacement from oaoooooaoaoooaoooooo. What is prob of sequence ao? 16/95 Three letters picked without replacement from {r: 2, b: 4, z: 1, s: 1}. Give prob of sequence bzs. 1/84 Calculate prob of sequence zn when two letters picked without replacement from sctzzfzstsfnzsnfsns. 2/57 Three letters picked without replacement from {a: 2, f: 8, l: 2, k: 2, u: 2}. Give prob of sequence ukk. 1/840 Three letters picked without replacement from {p: 6, o: 1, j: 10}. Give prob of sequence jpj. 9/68 Three letters picked without replacement from {z: 8, f: 5, t: 1, h: 1, w: 5}. What is prob of sequence wzw? 4/171 What is prob of sequence dqma when four letters picked without replacement from vvmvvavmaqqvvdccmc? 1/6120 Three letters picked without replacement from hhjhavhjjhaaahvvjh. What is prob of sequence avv? 1/204 Calculate prob of sequence my when two letters picked without replacement from mmymmmmmmmmmmmm. 1/15 Four letters picked without replacement from {s: 1, h: 2, q: 1}. What is prob of sequence hshh? 0 Calculate prob of sequence xkl when three letters picked without replacement from rlslkxj. 1/105 Calculate prob of sequence zffo when four letters picked without replacement from zufutxzotzfz. 1/1485 What is prob of sequence wee when three letters picked without replacement from eewe? 1/4 Three letters picked without replacement from {t: 2, c: 2, h: 2, j: 13}. Give prob of sequence thj. 26/2907 Three letters picked without replacement from {x: 3, m: 7}. What is prob of sequence mmx? 7/40 What is prob of sequence vvvi when four letters picked without replacement from {i: 14, v: 4}? 7/1530 What is prob of sequence skj when three letters picked without replacement from {j: 1, i: 1, k: 10, s: 2}? 5/546 Three letters picked without replacement from {g: 8, n: 2}. Give prob of sequence ggg. 7/15 Calculate prob of sequence nn when two letters picked without replacement from eneneenneneeneeneenn. 18/95 What is prob of sequence upp when three letters picked without replacement from uplvnpud? 1/84 Calculate prob of sequence da when two letters picked without replacement from {a: 1, g: 1, l: 1, d: 1, q: 1}. 1/20 Four letters picked without replacement from {q: 4}. Give prob of sequence qqqq. 1 What is prob of sequence jeq when three letters picked without replacement from {w: 4, j: 1, x: 3, q: 4, e: 3, l: 5}? 1/570 Four letters picked without replacement from {c: 2, a: 11}. Give prob of sequence acac. 1/78 Four letters picked without replacement from wlwlllwlwwllllcll. Give prob of sequence cwlw. 11/2856 Three letters picked without replacement from qsqqqqqqsn. Give prob of sequence nsq. 7/360 Three letters picked without replacement from immmimimaaaaiimmi. Give prob of sequence mmm. 7/136 Calculate prob of sequence gccc when four letters picked without replacement from {g: 2, c: 3, n: 4}. 1/252 Two letters picked without replacement from {m: 3}. What is prob of sequence mm? 1 Two letters picked without replacement from {m: 1, s: 1, h: 2, f: 3}. Give prob of sequence fs. 1/14 Calculate prob of sequence phq when three letters picked without replacement from {q: 2, y: 2, h: 1, p: 2, r: 1}. 1/84 Four letters picked without replacement from gqgxkkkpxgxxpxqggp. What is prob of sequence qkpx? 1/816 Calculate prob of sequence og when two letters picked without replacement from odsosgsowaasawdad. 3/272 Two letters picked without replacement from {p: 4, u: 1, h: 1, r: 4, i: 1, x: 1}. What is prob of sequence ix? 1/132 Calculate prob of sequence pqup when four letters picked without replacement from {s: 7, p: 8, q: 1, u: 4}. 28/14535 What is prob of sequence cw when two letters picked without replacement from {w: 1, z: 1, h: 2, c: 1}? 1/20 Two letters picked without replacement from {h: 2, r: 8}.
{ "pile_set_name": "DM Mathematics" }
+ 3 for g. -2 Suppose 22 = -q + 61. Let l = -36 + q. Solve -2 = l*t + 7 for t. -3 Suppose -4*k = -k + 5*y + 5, 4*y = -5*k - 4. Solve k = 7*w - 4*w - 6 for w. 2 Let q = -67 + 73. Let f be (-36)/(-20)*(q + -1) - -2. Solve -3*v - 5 = -f for v. 2 Let b be -22 + 20 - (0 + -5). Solve b*t = 7 - 4 for t. 1 Suppose 0 = 4*w - 0*w + 4*g - 28, -w + g = 3. Let r(p) = -p**2 + w*p + 0*p + 3*p - 3. Let f be r(4). Solve 5*t + 4 = -f for t. -1 Suppose 4*n = n + 5*g + 25, 0 = 3*n + 3*g + 15. Suppose 5*a + 3*u - 9 = n, -2*a - 16 + 7 = -3*u. Suppose -y = 1, r - 5*y - 5 = 6*r. Solve r*v + v - 4 = a for v. 4 Suppose 5*j - 2*p + 15 = -7*p, 2*p = 3*j - 6. Suppose -4*w + 2*q + 2 + 12 = 0, -2 = -w - q. Solve b = -w - j for b. -3 Let b = 7 - 3. Let c be 8*(-1)/b*-4. Suppose -2*x + 42 = 5*f, 3*f - c*f = -2*x + 22. Solve 4 = -4*w + x for w. 3 Suppose 1 - 5 = -2*k. Suppose 2*o + 3 = -2*u + 5, 3*u + k*o - 7 = 0. Suppose -125*a + 116*a + 36 = 0. Solve -21 = -a*x - u for x. 4 Suppose 4*v - 4*z + 2*z = 62, -25 = -5*z. Let m be 47/9 + (-4)/v. Solve 0 = -0*s - s - m for s. -5 Let t(o) = -4*o**3 + 6 - 3*o**2 + 6*o + 3*o**3 + 8*o**2 + 8*o. Let r be t(7). Let l = r - -5. Solve 3*p + 5 - l = 0 for p. 2 Let g(f) = f**2 - 9*f + 6. Let z be g(8). Let i be ((z - -2)/(-1))/(-1). Solve n + 2 + 0 = i for n. -2 Let o(s) = -3*s + 74. Let q(x) = -6*x - 84. Let u be q(-18). Let d be o(u). Solve -d*w = -0*w for w. 0 Suppose -5*l = -2*f + 20, -5*l = 2*f - 2 - 38. Solve -3 = -12*s + f*s for s. -1 Suppose -117*o + 56 = -113*o. Solve -o = -6*l + 4 for l. 3 Let l(x) = 7*x + 57. Let o be l(-5). Solve -o = -4*b - 6 for b. 4 Let o(w) = 148*w**3 + 1. Let r be o(1). Solve 4*n - 161 = -r for n. 3 Let j be (-20 - 703/(-38))/((-1)/2). Suppose -4*o = 2*g - 56, 7*o - 2*o + 5*g = 60. Solve o = -w - j*w for w. -4 Let k = -146 + 155. Solve 11*j + 10 = k*j for j. -5 Suppose -2*g = 0, 2*b + 2*b = 3*g + 120. Let n = -30 + b. Solve -2*c + 4*c + 2 = n for c. -1 Suppose -160*s = -150*s - 180. Solve 27*z - 21*z = -s for z. -3 Suppose 7 = 5*l - 5*q - 8, -l + 11 = 3*q. Solve l*u = -2*u + 14 for u. 2 Let i(s) = -s**3 - 6*s**2 - 6*s - 3. Let z(d) = -2*d**3 - 12*d**2 - 12*d - 6. Let j(k) = -7*i(k) + 3*z(k). Let o be j(-4). Solve 2 - o = 3*m for m. -3 Suppose -h - 32 = -9*h. Suppose -16*b = -18*b + h. Solve -b*m = -4*m - 4 for m. -2 Let h(u) = u - 5. Let m be h(7). Suppose 5*x - 30 = -x. Suppose 4*v + 2*q + 2*q - 20 = 0, -2*v - x = -q. Solve -m*d = -v*d for d. 0 Let l(z) = -2*z - 5. Let y = 15 - 11. Suppose 0 = -y*f - 26 + 2. Let r be l(f). Solve r*k = 2*k for k. 0 Let s be (-30)/(-9)*18/(-5). Let b be 50/8*(s - -16). Solve 5*r - 5 = -b for r. -4 Let f = 1055 + -1022. Solve 10*b - f = -73 for b. -4 Let l(y) = -5*y + 36. Let d be l(4). Solve -15*n + 5 = -d*n for n. -5 Let g be (-3)/(-4)*(-36)/(-9). Let j(v) = -v + g + 2*v + 1. Let d be j(6). Solve p = -p + d for p. 5 Suppose 13*x = -76 + 141. Solve -x*l = -6 + 21 for l. -3 Suppose 548*b - 540*b = 24. Solve 2*t - 5 = -b*t for t. 1 Suppose 50*l - 1128 = 3*l. Solve -22*b - l = -28*b for b. 4 Let w = 427 + -425. Solve 3*q + 10 = -w*q for q. -2 Let z(g) = -g**3 - 15*g**2 - 15*g + 3. Let i be z(-14). Suppose -6*k + i = -1. Suppose 3*s + 6 = -f, f + s - k*s = 9. Solve -f*u - 20 = 2*u for u. -4 Let r be (-60)/48 + 23/(-4) - -45. Solve 6 = 8*j + r for j. -4 Let t(h) = -h**3 - h**2 + 4*h + 1. Let s be t(-3). Suppose 5*d + s*d = 5*d. Let u = -7 + 11. Solve -u*y + y = d for y. 0 Let l(k) = -k**2 - 5*k - 7. Let r be l(-5). Let i(b) = b**2 + 5*b - 10. Let p be i(r). Let x(w) = 2*w**2 + 5*w + 9. Let o be x(-3). Solve 0*u - o = p*u for u. -3 Let r be 151/6 - (-7)/(-42). Suppose 4*w - r = -5. Solve 4*u - 11 = w for u. 4 Let a be (8 + 0 + 10)*2/6. Solve -13 = a*r - 31 for r. 3 Let j = -308 - -312. Let h = -4 + 35. Suppose -3*q - 5*f = -h, -3*q + 0*q = -j*f + 14. Solve 0*u = q*u for u. 0 Suppose x + 2*t - 3 = -0, t = -5*x + 15. Let m be 3*5/x - -1. Solve -5*r + m = 26 for r. -4 Suppose 0 = m - 4*m - 6. Let n(r) = -2*r**3 + 11*r**2 - 9*r + 8. Let z be n(3). Let c be z + m*(-1)/(-2). Solve 4*h = -h - c for h. -5 Let k be (-1)/(-4*4/(-64)) + 5. Let t be ((-1)/(-1) - k)/(-5 - -4). Solve t = -3*f + 6 for f. 2 Suppose 6 = -10*i + 6. Let h be 5 + 1/(-3)*-3. Suppose h*a - 9*a = i. Solve a = -0*k - 3*k + 15 for k. 5 Let a be 3 + 0 + 6 + -6. Solve 0*h + a*h - 9 = 0 for h. 3 Suppose 5*f + 1 = -4*g + 2*g, 0 = -5*g - 2*f + 29. Let x(m) = 2*m - 11. Let h be x(g). Let o be (h/(-5))/((-4)/20). Solve -o*n = -n + 8 for n. -4 Suppose 2*f = -3*t + 32 - 21, 4*f + 8 = 4*t. Let i(k) = -5*k**3. Let y be i(-1). Solve -c + y = t for c. 2 Let z(p) = p**2 + 5*p - 8. Let n be z(-10). Let f = n - 38. Solve 3*r - f*r + 5 = 0 for r. 5 Let i be (-3 + (-76)/28)*14/(-4). Solve 0 = -n - i + 15 for n. -5 Let c(x) = -x + 30. Let s be c(16). Solve 0 = -4*u - s + 6 for u. -2 Let g = -130 - -150. Suppose g - 44 = -6*n. Solve n*d = 2*d - 10 for d. -5 Let f = -27 + 27. Suppose 2*v + 2*v - 8 = f. Solve v = 3*w - 1 for w. 1 Let h be (3 - (-1 + 2))/1. Let v(q) = 6*q**3 + q**2 + 2*q - 3. Let w be v(1). Solve 0 = -h*m - 0 - w for m. -3 Suppose -3*r - 193 = -205. Solve 22*s - 24*s = r for s. -2 Let n = 233 + -209. Solve -4*r + 12*r = n for r. 3 Let x = 21 + -14. Let g(q) = q**3 + 8*q**2 - 11*q - 15. Let m be g(-9). Solve 5*b + m + x = 0 for b. -2 Let p(z) = -4 - 2 - 17*z + 15*z. Let y be p(-4). Suppose 0 = -3*u - y*j + 8, -4*u = 2*j - 2 - 8. Solve -3 = u*w - w for w. -3 Let m(g) = -g**2 + g + 4. Let n be m(0). Suppose 0 = -j - n. Let t = j + 4. Solve 4*k - 5*k - 5 = t for k. -5 Let q be -1 + -2 + 4/4 - 5. Let n(f) = f**2 + 6*f - 4. Let h be n(q). Solve 0 = -i - 2*i + h for i. 1 Let z be 10/(-6)*(1 + 2). Let g(t) = t. Let v be g(-2). Let b = v - z. Solve b + 3 = 2*y for y. 3 Let s(u) = -u**3 - u**2 + 21*u + 38. Let i be s(-2). Solve i = 4*w + 27 - 35 for w. 2 Let r(v) = 7*v**3 - v**2 + v + 2. Let o be r(2). Solve 20 = -o*j + 51*j for j. -4 Suppose -7*y = 15 - 22. Let v(b) = b**2 - 2*b + 4. Let i be v(5). Solve y + i = -5*q for q. -4 Suppose 28 = 3*w - w. Let p be 3/12 - 43/(-4). Let t = w - p. Solve 2*z = -t*z + 25 for z. 5 Suppose -22 = -2*s + 2. Let b be 46/(-8) - (-6)/(-24). Let t be 4*((-15)/b)/5. Solve -2*a - s = t*a for a. -3 Let x(b) = -11*b + 1. Let v be x(1). Let y be (v + -2)*(-3)/12. Solve -8*h + y*h = 0 for h. 0 Suppose 21*u = 72 - 30. Let w(i) = -i**2 - 3*i + 2. Let b be w(-2). Solve u*j = b*j for j. 0 Suppose 2*c + 4 = 4*y, -3*c + 21 = -y + 4*y. Suppose v = z - y, z + 2*v = -3*z + 12. Solve -z + 1 = -m for m. 2 Let r be (0 + 0)/(0 - 1). Let a = 114 - 128. Let o be (-112)/(-32)*(-40)/a. Solve o*s - 5*s + 15 = r for s. -3 Let j be (12 + -13)*2*1*-5. Solve 22*g + j = 24*g for g. 5 Suppose -3*a + 1 = 7. Let z be a/9 - 1090/(-45). Solve 4*g + 4 = z for g. 5 Let l = 1295 - 1243. Solve 8*b = -l + 12 for b. -5 Suppose -5*x = g - 6 - 16, 3*x + 2*g = 16. Solve -2*s + x = -0*s for s. 2 Let j be ((-8)/(-6))/((-8)/(-12)). Solve j*h = -h for h. 0 Let z = -4 - -2. Let v(l) = 2*l**2 + 2*l. Let m be v(z). Let d be (2/18)/((59 + -29)/810). Solve -a - m = -d*a for a. 2 Suppose -2*i + 45 - 7 = 0. Suppose v + 4*n - i = 0, -4*v - 6 = -5*n + 2. Solve v*r = -0*r + 12 for r. 4 Let j = 661 - 651. Solve j = 4*w - 10 for w. 5 Suppose -2*g = -6*g + 168. Suppose 14 = -n + 5*u, 0*n - 4*u + g = 2*n. Suppose 3*s - 4 = n. Solve s*w + 21 = 1 for w. -4 Suppose 19*l = 20*l - 12. Solve l = 33*b - 27*b for b. 2 Suppose -10 = -5*v + 10. Suppose 0 = 2*c - 3*w + 2, -4*w + 10 = 3*c - v. Let b(q) = -q**2 + 3*q - 1. Let s be b(c). Solve -11 = 4*o + s for o. -3 Suppose 4*n - f + 0*f = 4, 5*n = 5*f - 10. Let q(i) = i + 7. Suppose 5 = -3*j + 2*j. Let v be q(j). Solve -n*d = -4*d + v for d. 1 Suppose -4*w + 81 = -h - 0*h, -2*w - 5*h + 35 = 0. Solve -4*z + 0 - w = 0 for z. -5 Suppose -9*l = -15*l + 348. Solve -9*m = -l + 31 for m. 3 Let t = 30 + -25. Suppose -5*q + 0 = -t. Solve 3*v + q + 14 = 0 for v. -5 Let s = 16 - 26. Let b be 3/((s/6)/(-5)). Suppose b*g = 4*g + 15. Solve g*h = 2*h - 5 for h. -5 Let r(z) = 10*z + 209. Let a be r(-19). Solve a*u = 6*u + 65 for u. 5 Let g = 6 + -4. Suppose m - 4*s - 7 = 7, s + 11 = 4*m. Solve g*h - m = -12 for h. -5 Let u be 1/4*-10*-8. Let q = u - 17. Solve -q*c - 4 = -4*c for c. 4 Let w be 310/6 - (-10)/30. Let y be (-2)/13 + 60/w. Solv
{ "pile_set_name": "DM Mathematics" }
r + 235. What is g(75)? 10 Let q(b) = 6*b**3 - 95*b**2 - 14*b - 43. Determine q(16). -11 Let d(j) = -8*j**3 + 65*j**2 - 93*j - 37. Give d(6). 17 Let k(i) = 7*i - 29. Calculate k(21). 118 Let h(b) = b**3 - 7*b**2 + 10*b - 19. What is h(7)? 51 Let x(w) = 13*w**2 + 4*w + 3. Calculate x(-3). 108 Let k(m) = -57*m**2 + 22*m + 85. What is k(-3)? -494 Let q(h) = 3*h**3 - 7*h**2 + 20*h - 103. What is q(5)? 197 Let l(d) = -35*d - 118. Give l(-5). 57 Let z(o) = -o**2 - 23*o + 197. Give z(-30). -13 Let o(d) = 2*d**3 + 111*d**2 - 57*d - 29. What is o(-56)? 27 Let a(y) = 9*y**2 + 38*y - 90. Calculate a(3). 105 Let o(g) = 170*g - 2395. Calculate o(14). -15 Let m(s) = s**3 - 6*s**2 - 9*s + 17. What is m(5)? -53 Let u(o) = 152*o + 1532. Calculate u(-10). 12 Let g(j) = -j**3 - 21*j**2 - 14*j + 198. What is g(-21)? 492 Let g(v) = -v**2 - 11*v + 228. Determine g(-17). 126 Let j(p) = 2*p**2 - 310*p + 1503. Determine j(5). 3 Let l(g) = 296*g + 657. Calculate l(-3). -231 Let p(x) = -x**2 + 1696*x - 36832. Calculate p(22). -4 Let t(x) = 15485*x + 123888. What is t(-8)? 8 Let b(j) = 22*j**2 + 95*j + 10. What is b(-4)? -18 Let u(r) = -2*r**2 - 36*r - 140. Calculate u(-10). 20 Let g(h) = 2*h**2 + 15*h - 558. What is g(-21)? 9 Let d(t) = 278*t**2 + 115*t - 113. Calculate d(1). 280 Let p(q) = -628*q + 6284. Calculate p(10). 4 Let h(r) = -11*r**3 + 2*r**2 - 21*r + 31. Give h(2). -91 Let m(o) = 2*o**2 + 36*o + 71. What is m(-2)? 7 Let u(s) = s**2 + 1554*s + 20027. Calculate u(-13). -6 Let d(i) = -22*i - 136. Calculate d(-9). 62 Let i(u) = -28*u**2 - 441*u - 20. What is i(-16)? -132 Let w(m) = 101*m + 575. Calculate w(-6). -31 Let j(b) = 22*b**2 - 4*b + 2. Calculate j(-1). 28 Let h(x) = -145*x + 83. What is h(7)? -932 Let v(l) = -2*l**3 - 208*l**2 - 410*l - 199. What is v(-102)? 5 Let f(m) = -2*m**2 - 62*m - 101. What is f(-26)? 159 Let a(f) = 9*f**3 - 39*f**2 - 6*f + 19. Calculate a(5). 139 Let z(u) = -u**2 + 35*u - 236. Calculate z(9). -2 Let s(r) = -2225*r - 11043. Determine s(-5). 82 Let j(b) = b**2 - 133*b + 876. What is j(126)? -6 Let r(i) = -i**3 - 7*i**2 + 590*i + 3569. Give r(-6). -7 Let d(l) = 23*l**2 + 6*l + 7. Calculate d(-2). 87 Let s(i) = 7*i**2 - 277*i + 115. Determine s(39). -41 Let b(u) = 2*u**3 + 16*u**2 + 44*u + 62. Determine b(-5). -8 Let c(s) = 2*s**3 + 18*s**2 + 40*s + 181. Give c(-8). -11 Let s(d) = 8*d - 139. Give s(17). -3 Let i(w) = 2*w**2 - 59*w - 55. What is i(29)? -84 Let x(c) = -15*c + 127. Give x(21). -188 Let a(z) = -5*z**2 + 15*z + 2. Determine a(2). 12 Let o(u) = -101*u + 542. Give o(6). -64 Let d(w) = -203*w + 1486. Determine d(6). 268 Let q(g) = -6*g**3 - 155*g**2 + 570*g + 14146. Calculate q(-26). 2 Let l(j) = -2*j**3 - 80*j**2 - 493*j + 617. Determine l(-32). 9 Let f(a) = a**2 + 16*a - 28. Determine f(3). 29 Let m(s) = 1875*s + 28084. What is m(-15)? -41 Let i(b) = 2*b**3 + 44*b**2 - 10*b + 11. Calculate i(-22). 231 Let a(x) = 5*x**3 - 57*x**2 + 67*x + 36. What is a(10)? 6 Let g(y) = 2*y**2 + 49*y + 23. Give g(-25). 48 Let x(z) = -1147*z + 8019. What is x(7)? -10 Let l(f) = 51*f**2 + 763*f - 28. Give l(-15). 2 Let a(j) = j**2 + 47*j - 1972. Determine a(-74). 26 Let u(j) = -4*j**2 - 10*j - 8. Determine u(-2). -4 Let c(n) = n**3 + 42*n**2 - n - 27. What is c(-42)? 15 Let y(u) = -238*u - 1857. Determine y(-8). 47 Let c(h) = 392*h + 74476. Determine c(-190). -4 Let x(c) = c**3 + 14*c**2 - 21*c - 322. Calculate x(-14). -28 Let n(m) = 15*m - 172. What is n(14)? 38 Let b(f) = 2*f**3 + 24*f**2 - 17*f - 17. Calculate b(-13). -134 Let g(f) = -693*f - 5460. Give g(-8). 84 Let s(o) = 2*o**2 - 136*o - 855. Give s(-6). 33 Let i(r) = -r**2 + 32*r - 187. Determine i(22). 33 Let f(y) = -41*y + 9582. Determine f(234). -12 Let f(n) = -n**3 + 4*n**2 + 179*n + 203. Calculate f(16). -5 Let z(q) = -9*q**2 + 4*q + 32. Give z(-2). -12 Let t(g) = -g**2 - 114*g - 1013. Give t(-10). 27 Let q(m) = 2997*m - 107. What is q(0)? -107 Let k(d) = -101*d - 194. Give k(-5). 311 Let b(o) = 265*o**2 - 1065*o + 71. What is b(4)? 51 Let u(b) = -b**2 + 97*b + 2027. Determine u(-17). 89 Let w(u) = u**3 + 5*u**2 - 61*u - 375. Calculate w(-7). -46 Let r(b) = 2*b**2 + 91*b + 142. Calculate r(-44). 10 Let c(v) = -v**2 + 6*v + 24. What is c(-7)? -67 Let t(z) = -z**3 + 4*z**2 + 28*z - 45. Determine t(10). -365 Let r(c) = -7*c - 405. Calculate r(-26). -223 Let k(j) = -33*j**2 + 80*j - 46. Calculate k(1). 1 Let k(w) = w**2 - 30*w - 166. Calculate k(35). 9 Let z(r) = -9*r**2 - 197*r - 348. Calculate z(-20). -8 Let i(g) = 1180*g**2 - 80239*g - 63. Determine i(68). 5 Let i(n) = 2*n**3 - 18*n**2 - 4*n - 2. Determine i(10). 158 Let m(v) = v**3 + 10*v**2 - 31*v - 59. Calculate m(-12). 25 Let z(b) = -2*b**2 - 65*b - 222. Give z(-28). 30 Let q(a) = 113*a - 1697. Give q(15). -2 Let b(k) = k**3 - 8*k**2 - 36*k - 32. What is b(-5)? -177 Let p(m) = m**3 + 21*m**2 - 6*m - 13. Give p(-21). 113 Let o(v) = v**3 - 5*v**2 + 15*v - 173. What is o(8)? 139 Let a(y) = y**3 + 19*y**2 - 91*y + 6. Calculate a(0). 6 Let v(p) = -p**3 + 11*p**2 + 40*p - 3. Calculate v(13). 179 Let s(o) = -4*o + 23. What is s(6)? -1 Let b(t) = -2*t**2 - 28*t + 1585. Give b(22). 1 Let z(l) = -l**2 + 45*l + 1804. Give z(71). -42 Let x(f) = -f**3 + 43*f**2 - 444*f - 145. Calculate x(25). 5 Let l(q) = 105*q + 223. What is l(-3)? -92 Let y(w) = -w**2 + 516*w + 38411. What is y(-66)? -1 Let k(a) = 220*a - 35604. What is k(162)? 36 Let b(m) = 3*m - 48. What is b(-3)? -57 Let u(d) = -1022*d - 6134. Determine u(-6). -2 Let b(i) = -122*i + 3288. Calculate b(27). -6 Let z(x) = -428*x - 1904. Determine z(-4). -192 Let m(d) = -4*d**3 + 92*d**2 + 92*d + 83. Determine m(24). -13 Let c(n) = -361*n - 3262. Determine c(-9). -13 Let k(d) = d**2 + 22*d + 16. What is k(-20)? -24 Let r(o) = o**3 - 46*o**2 + 36*o + 463. Give r(45). 58 Let q(n) = -n**2 + 6*n + 109. Determine q(-9). -26 Let s(t) = 2908*t + 17443. Give s(-6). -5 Let t(y) = -y**2 - 93*y - 1467. Calculate t(-20). -7 Let y(q) = -2*q**2 + 232*q - 1498. Determine y(109). 28 Let i(z) = 21*z - 100. Determine i(6). 26 Let b(o) = -3*o + 212. Calculate b(55). 47 Let j(y) = -y**2 + 42*y - 343. Calculate j(8). -71 Let f(s) = -2*s**2 + 37*s + 30. Calculate f(19). 11 Let r(k) = -k**3 + 14*k**2 + 7*k + 5. Determine r(14). 103 Let o(n) = -n**2 - 221*n - 8305. Give o(-48). -1 Let i(j) = 145*j + 48. Give i(0). 48 Let h(i) = 31*i - 1156. What is h(31)? -195 Let c(p) = -13*p - 695. Calculate c(-54). 7 Let n(x) = -130*x - 5833. Determine n(-45). 17 Let r(y) = 222*y + 404. Determine r(-3). -262 Let m(h) = -11*h**2 - 62*h - 13. Calculate m(-7). -118 Let h(g) = -g**3 + 19*g**2 - 84*g - 55. Give h(11). -11 Let d(k) = 16*k + 1671. Calculate d(-104). 7 Let b(r) = -2*r**2 + 59*r + 31. Calculate b(19). 430 Let c(g) = -53*g**2 + 17*g. Calculate c(-3). -528 Let j(u) = -2*u**2 + 132*u - 492. What is j(62)? 4 Let u(g) = -313*g + 321. Calculate u(2). -305 Let f(u) = -19*u**2 - 512*u + 49. Determine f(-27). 22 Let p(o) = -2*o**3 + 5*o**2 - 3*o + 17. Determine p(4). -43 Let a(b) = 2236*b + 8938. Calculate a(-4). -6 Let y(x) = 3*x**2 - 87*x + 670. What is y(20)? 130 Let t(r) = -r**3 + 6*r**2 - 43*r - 2. Give t(6). -260 Let r(u) = 144*u + 4251. Calculate r(-29). 75 Let x(c) = c**3 + 356*c**2 - 307*c + 17852. Determine x(-357). 2 Let b(g) = 170*g + 143. Give b(-1). -27 Let m(x) = x**3 - 45*x**2 + 464*x - 10. Calculate m(16). -10 Let b(o) = -79*o + 1524. What is b(17)? 181 Let g(b) = -543*b - 7045. Give g(-13). 14 Let y(f) = 43*f - 1075. Determine y(25). 0 Let k(f) = 2*f**3 + 19*f**2 - 78*f - 480. What is k(-11)? 15 Let u(t) = -2*t**2 + 148*t + 302. Give u(76). -2 Let t(v) = v**3 + 24*v**2 + 75*v + 105. Determine t(-22). -577 Let z(x) = -41*x + 1739. Determine z(44). -65 Let l(h) = -2*h**3 - 67*h**2 - 39*h - 326. Calculate l(-33). -128 Let d(g) = -19*g + 128. Determine d(4). 52 Let r(t) = -t**3 + 52*t**2 + 7*t - 320. Determine r(52). 44 Let j(a) = a**3 - 22*a**2 - 245*a - 9. Determine j(-8). 31 Let u(z) = -128*z - 1782. Determine u(-14). 10 Let s(v) = v**3 + 10*v**2 - 28*v - 95. Calculate s(-12). -47 Let v(c) = -c**2 - 51*c - 616. What is v(-31)? 4 Let g(o) = 4*o**2 + 4*o - 9. Calculate g(-8). 215 Let p(i) = 12*i + 71. Calculate p(-12). -73 Let j(l) = -5*l**2 - 111*l - 440. What is j(-17)? 2 Let x(h) = -1668*h - 14946. Calcul
{ "pile_set_name": "DM Mathematics" }
2. -1439*l**2 Collect the terms in -74*d - 21*d - 95*d - 43*d. -233*d Collect the terms in 4*u**2 - u**2 + 74 - 1102. 3*u**2 - 1028 Collect the terms in -1493 + 2983 - 1495 - 7*y. -7*y - 5 Collect the terms in -64 - 9 + 6*n**3 - 22*n**3. -16*n**3 - 73 Collect the terms in 493*a**3 + 489*a**3 + 495*a**3 - 1972*a**3 + 501*a**3. 6*a**3 Collect the terms in 217898 + 2*u + u - 3*u - 217898 + 11*u**3. 11*u**3 Collect the terms in -126*p - 64*p + 159*p. -31*p Collect the terms in 66*k - 13*k - 17*k + 24 - 15*k - 20*k. k + 24 Collect the terms in 805*p + 1 - 2503*p + 805*p + 839*p. -54*p + 1 Collect the terms in 3 + 35334*y - 3 - 1029*y**2 - 35334*y. -1029*y**2 Collect the terms in 31 - 40*b**3 - 3*b**3 + 23*b**3 - 31. -20*b**3 Collect the terms in 243 - 174 + 0*h**3 + 2*h**3 - 69. 2*h**3 Collect the terms in -139*u - 3*u**3 + 0*u**3 + 939*u - 800*u. -3*u**3 Collect the terms in -27*j - 338 + 23*j - 33. -4*j - 371 Collect the terms in 31 - 31 - 18*a**3 + 12*a**3. -6*a**3 Collect the terms in -54*y + 1214 + 52*y - 1207. -2*y + 7 Collect the terms in -98*w - 81*w + 222*w. 43*w Collect the terms in -11*p - 7*p + 18*p - 62*p**2. -62*p**2 Collect the terms in 69 - 6*a + 6*a - 4*a**3 + 2*a**3. -2*a**3 + 69 Collect the terms in 2516*w**2 - 5785*w**2 + 3267*w**2. -2*w**2 Collect the terms in 702*b**2 - 767*b**2 + 1 - 1. -65*b**2 Collect the terms in 89727*g + 37 - 37 + 32603*g. 122330*g Collect the terms in -1 - 1046*w + 1 - 340*w. -1386*w Collect the terms in -18427973 + 18427973 - 8*o. -8*o Collect the terms in 65 - 58*d**2 + 31*d**2 - 117*d - 59 + 29*d**2. 2*d**2 - 117*d + 6 Collect the terms in -250*u**3 + u**2 + 5*u**2 + 845*u**3. 595*u**3 + 6*u**2 Collect the terms in -42*a**2 + 107*a**2 - 47*a**2 - 44*a**2. -26*a**2 Collect the terms in g + 43*g**2 - g - 20*g**2 - 22*g**2. g**2 Collect the terms in -3*s + 6*s - 553 + 1073 - 520. 3*s Collect the terms in 84*n**3 + 0*n**2 - n**2 - 76*n**3. 8*n**3 - n**2 Collect the terms in -200 - 6*c**3 - 180 + 111*c**3 + 380. 105*c**3 Collect the terms in 14*n - 4*n - 53*n + 5*n - 55*n. -93*n Collect the terms in -340*o**2 + 1021*o**2 - 339*o**2 + 4 - 346*o**2. -4*o**2 + 4 Collect the terms in 112 + 122*x**3 - 125*x**3 - 225 + 113. -3*x**3 Collect the terms in -154*b**2 + b - b + 325*b**2 - 156*b**2. 15*b**2 Collect the terms in -7*w**2 - 5*w**2 - 12*w**2 - 7*w**2 + 29*w**2. -2*w**2 Collect the terms in -6*b**2 - 1678 + 3353 - 1675. -6*b**2 Collect the terms in 1148*z**3 - 585*z**3 - 591*z**3. -28*z**3 Collect the terms in b + 11*b - 4*b + 10*b + 13*b. 31*b Collect the terms in 109*b - 161*b - 137*b. -189*b Collect the terms in -164*t - 164*t - 155*t - 156*t + 628*t. -11*t Collect the terms in -49285*t**2 + 98586*t**2 - 49272*t**2. 29*t**2 Collect the terms in 11548 + 2*w - 23105 + 201*w**3 + 11557 + 280*w**3. 481*w**3 + 2*w Collect the terms in 2275169 + 680*d**2 - 2275169. 680*d**2 Collect the terms in 814*o + 2956*o + 3126*o. 6896*o Collect the terms in 510*n - 1253*n - 121*n - 1201*n - 1478*n. -3543*n Collect the terms in 0 - 81066*v**2 + 81032*v**2 + 0. -34*v**2 Collect the terms in 23*f**2 + 12*f**2 - 18*f**2 + 6*f**2 + 30*f**2 + 2*f. 53*f**2 + 2*f Collect the terms in 174*g - 86*g - 336*g**3 - 88*g. -336*g**3 Collect the terms in -80 + 38 + 40 - 43*n**3. -43*n**3 - 2 Collect the terms in -678*v + 0*v**2 + 678*v + 0*v**2 - 126*v**3. -126*v**3 Collect the terms in 0 + 855*i**2 - 2 + 2. 855*i**2 Collect the terms in 3 - 87*k**2 - 81*k**2 + 4 - 12. -168*k**2 - 5 Collect the terms in -359*c**3 - 382*c**3 - 1031*c**3. -1772*c**3 Collect the terms in -341*y + 681*y - 234*y**3 - 67*y**3 - 340*y. -301*y**3 Collect the terms in -45*c**2 + 46*c**2 - 21*c**3 - 21*c**3 + 3*c**3. -39*c**3 + c**2 Collect the terms in 1931*h**3 + 1125*h**3 - 662*h**3. 2394*h**3 Collect the terms in 247*s**3 + 22 + 14 - 51 + 15. 247*s**3 Collect the terms in -3*x + 9*x**3 - 4*x + 7*x + 0*x**3 - 8*x**3. x**3 Collect the terms in -s + 0*s - 17*s**3 + 83*s**3. 66*s**3 - s Collect the terms in -756 - 730 - t**2 + 1486 - t**2. -2*t**2 Collect the terms in 26836*c + 3669*c - 890*c + 4898*c. 34513*c Collect the terms in -5*k**2 - 46*k**2 + 51*k**2 - 49*k**2 - 13*k**2. -62*k**2 Collect the terms in 19*y - 81*y + 18*y + 20*y + 21*y. -3*y Collect the terms in 807555*g + 1159*g**2 - 1160*g**2 - 807555*g. -g**2 Collect the terms in -174*r**3 + 83 - 34 - 49. -174*r**3 Collect the terms in 12*n + 3*n + n - 6*n + 11*n. 21*n Collect the terms in -6180 + 19*j**2 - 6092 + 12272 - j**2. 18*j**2 Collect the terms in 280*s**2 + 2*s + 4*s + 178*s**2 - 6*s. 458*s**2 Collect the terms in -1087*w + 2156*w - 1045*w. 24*w Collect the terms in 17*f + 6 - 36*f + 28 + 14*f - 42. -5*f - 8 Collect the terms in 98*z - 276*z + 107*z + 37*z. -34*z Collect the terms in -13*v + 0 + 7 + v + 13. -12*v + 20 Collect the terms in 57*p + 3*p**2 - 4*p**2 + 33*p**2. 32*p**2 + 57*p Collect the terms in 1203*q**2 - 1203*q**2 + 1176*q**3. 1176*q**3 Collect the terms in 9696 + 11*c**2 - 2*c**3 - 18*c**2 + 7*c**2 - 9696. -2*c**3 Collect the terms in -235*v + 3061*v**2 + 93*v**2 + 235*v. 3154*v**2 Collect the terms in -118183685 - 3*a + 118183685. -3*a Collect the terms in -4180*s - 21*s**3 + 4180*s. -21*s**3 Collect the terms in 3096 - 3096 - 1639*m**2. -1639*m**2 Collect the terms in -67*h - 121*h - 95*h. -283*h Collect the terms in -4806042 - 38*m**3 + 4806042 + 75*m**3 - 38*m**3. -m**3 Collect the terms in -1067 + 3317 - 3*g**2 - 1127 - 1123. -3*g**2 Collect the terms in 41 - 21*g**2 + 37 - 122 + 44. -21*g**2 Collect the terms in -13 - 63*d**3 - 132*d**3 + 13 + 1. -195*d**3 + 1 Collect the terms in -359*w + 280*w - 2018*w. -2097*w Collect the terms in 8*m**2 + 28 + 24 - 12*m**2. -4*m**2 + 52 Collect the terms in 1128*y**3 + 1698*y**3 - 2836*y**3. -10*y**3 Collect the terms in 18*a**2 + a**3 - 23*a**2 + 5*a**2. a**3 Collect the terms in 327*m + 405*m - 903*m + 171*m - m**3. -m**3 Collect the terms in 4 - 3 - 1 + 372*o. 372*o Collect the terms in -3*b - 5*b - 9*b - 368. -17*b - 368 Collect the terms in 15 - 7 + 122*t**2 - 6. 122*t**2 + 2 Collect the terms in -7*l - 6*l + 27*l - 8*l - 13*l. -7*l Collect the terms in 1913*m**2 + 2513*m**2 - 366*m**2. 4060*m**2 Collect the terms in 0*r**2 - 2*r**2 + 3*r**2 - 1 + 1901*r**3 + 67*r. 1901*r**3 + r**2 + 67*r - 1 Collect the terms in -63*n + 90*n - 78*n. -51*n Collect the terms in 214*u - 424*u + 225*u. 15*u Collect the terms in 2*d**3 + 10 - 11 + 15 + 31*d. 2*d**3 + 31*d + 14 Collect the terms in -7*k + 7*k - 463*k**3 - 452*k**3 + 920*k**3. 5*k**3 Collect the terms in -549 - 556 + 0*o - 2*o - 179 + 1284. -2*o Collect the terms in -204*y - 213*y + 631*y - 201*y. 13*y Collect the terms in 5*g + 8*g + 6*g + 2*g - 38*g. -17*g Collect the terms in 9*z**2 + 15 + 0*z**2 - z + 110 - 17. 9*z**2 - z + 108 Collect the terms in -12 + 14941*u + 11*u**3 - 14941*u. 11*u**3 - 12 Collect the terms in 1 - 1 + 1191884*k**2 - 1191886*k**2. -2*k**2 Collect the terms in 150*o**2 + 11*o + 12*o - 27*o + 3*o - 1. 150*o**2 - o - 1 Collect the terms in -176*o + 77*o + 76*o. -23*o Collect the terms in 163*r - 6*r**2 + 20*r - 182*r - r. -6*r**2 Collect the terms in -448 - 56 - 5*y - 1149 - 758. -5*y - 2411 Collect the terms in -593*h**3 - h**2 - 65*h**3 - 2*h - 2875*h**3. -3533*h**3 - h**2 - 2*h Collect the terms in -107 - 102 + 205*k + 298 - 89. 205*k Collect the terms in -1 + 16710*m + 1 - 42*m**2 - 16707*m - 9*m**2. -51*m**2 + 3*m Collect the terms in -9*k**3 + 3963*k - 3963*k. -9*k**3 Collect the terms in 2269*k - 4536*k + 2308*k. 41*k Collect the terms in d**2 - 10171*d - 2*d**2 + 633*d. -d**2 - 9538*d Collect the terms in 2855*a + 5404*a + 289*a. 8548*a Collect the terms in 4576*q + 4585*q - 9167*q. -6*q Collect the terms in -2172*v - 1001*v - 2082*v + 122*v. -5133*v Collect the terms in 0*t - 2153341 + t + 2153341. t Collect the terms in 110*s**2 + 13*s**3 + 11*s**3 + 16*s**3 - 42*s**3. -2*s**3 + 110*s**2 Collect the terms in -2 + 60369145*k + 2 - 60369139*k. 6*k Collect the terms in 99777*r**3 - 33258*r**3 - 33258*r**3 - 33257*r**3. 4*r**3 Collect the terms in 4*u - 2 + 17*u + 37*u - 11*u. 47*u - 2 Collect the terms in 4*b**2 - 2*b**2 + 4*b**2 + b**2 + 135568*b - 135568*b. 7*b**2 Collect the terms in -76*h**3 + 4*h + 0*h + 2*h**2 - 4*h**2. -76*h**3 - 2*h**2 + 4*h Col
{ "pile_set_name": "DM Mathematics" }
l**2 Let k(i) = -72*i**2 + i - 1. Let y(d) = -d**2 - d - 1. Determine k(q) + y(q). -73*q**2 - 2 Let r(s) = 6*s**3 + 3*s**2 - s - 1. Let u be r(1). Let i(w) = 9*w - 5. Let f(j) = 4*j - 2. Determine u*f(z) - 3*i(z). z + 1 Let m(h) = -12*h**2 + 3 - 9*h**2 - 9*h**2 - 6*h**3 + 34*h**2. Let g(i) = 17*i**3 - 11*i**2 - 8. Give -4*g(l) - 11*m(l). -2*l**3 - 1 Let z(c) = -c**2 + 1. Let s(b) = 2*b**3 - 22*b**2 + 5*b - 54. Let f be s(11). Let r(v) = 2*v**3 + 5*v**2 + 3*v - 5. Calculate f*r(d) + 5*z(d). 2*d**3 + 3*d Let f(z) = -523*z - 9. Let y(q) = 3663*q + 66. Give 22*f(l) + 3*y(l). -517*l Let x(v) = v + 1. Let t(g) = -3*g - 20. Let p(m) = -m - 21. Let d(n) = -2*p(n) + 3*t(n). Determine -d(r) - 5*x(r). 2*r + 13 Let g(j) = 20*j - 14. Let q(x) = 13*x - 9. Suppose 4*i = -o - 21, -2 = o - 3*o + 3*i. Give o*g(b) + 8*q(b). 4*b - 2 Let v(w) = -4*w**2 - w - 5. Suppose 5*h - 18 - 92 = -17*h. Let p(y) be the first derivative of -2*y**3/3 - 2*y + 1. What is h*p(b) - 2*v(b)? -2*b**2 + 2*b Let w(c) = -5*c**3 - 2*c**2 - 3*c + 3. Let k(b) = 20*b**3 + 7*b**2 + 11*b - 14. Give -2*k(g) - 9*w(g). 5*g**3 + 4*g**2 + 5*g + 1 Let i(f) = 7*f**3 + f**2 - 1. Let l(s) = 2*s**3. What is -2*i(n) + 9*l(n)? 4*n**3 - 2*n**2 + 2 Let l(r) = -10*r + 16. Let k(g) = 7*g - 11. Let d = -306 + 301. What is d*l(a) - 7*k(a)? a - 3 Let d(z) = 6*z**2 + 95*z - 1. Let f(q) = 4*q**2 + 95*q - 1. What is -3*d(k) + 4*f(k)? -2*k**2 + 95*k - 1 Let y(h) = -9*h**3 + 7*h**2 + 7*h. Suppose 0 = -42*a + 46*a. Let p(z) = 8*z**3 + z**2 + 3*z**2 + a*z - 10*z**2 - 6*z. What is -7*p(w) - 6*y(w)? -2*w**3 Let p(q) = -113. Let s(t) = t**2. Give p(m) - 2*s(m). -2*m**2 - 113 Let a(d) = 7*d**3 - 2*d**2 + 42*d - 5. Let b(m) = 8*m**3 - 3*m**2 + 42*m - 6. Determine 7*a(n) - 6*b(n). n**3 + 4*n**2 + 42*n + 1 Let m(u) = -13*u - 563 - 572 + 1132. Let v(l) = 390*l + 91. Give -91*m(s) - 3*v(s). 13*s Let w(m) = -39*m**2 + 11*m - 12. Let g(u) = -118*u**2 + 31*u - 34. What is -6*g(s) + 17*w(s)? 45*s**2 + s Let k(q) = -11*q**3 - 5*q. Let u be 22/242 - (-54)/11. Let m(z) = -32*z**3 - 14*z. What is u*m(y) - 14*k(y)? -6*y**3 Suppose -37 = 5*h - 42. Let o(j) = j**3 - j + 1. Let d(a) = -6*a**3 - a**2 + 5*a - 3. What is h*d(b) + 5*o(b)? -b**3 - b**2 + 2 Let z(a) = 2*a**2 + a - 1. Let y(f) = -f**3 - 22*f**2 - 4*f + 4. Determine -y(o) - 4*z(o). o**3 + 14*o**2 Let p(b) = -184*b**3 - 3*b**2 - 6*b - 3. Let w(o) = 88871*o**3 + 1448*o**2 + 2896*o + 1448. Calculate 1448*p(x) + 3*w(x). 181*x**3 Let p(u) = -78*u**3 + 65*u + 65. Suppose -54 = -333*n + 342*n. Let w(r) = 7*r**3 - 6*r - 6. Calculate n*p(y) - 65*w(y). 13*y**3 Let f(n) = -n. Let y(d) = 11*d - 6*d - 17*d. Let i(s) = -s**2 + 18*s + 21. Let k be i(19). Calculate k*y(r) - 27*f(r). 3*r Let v(h) = -h - 1. Let x(a) = 14*a + 10. Let z be (-4 + 24)*9/18. Determine z*v(l) + x(l). 4*l Let p = -5 + 4. Let j be 1/((2/10)/p). Let x(d) = 6*d. Let k(w) = 3*w. Determine j*k(v) + 2*x(v). -3*v Let z(t) = -t**2 - 3*t + 4. Let q be z(-5). Let f(l) = -5*l + 11. Let u(d) = 2*d + 41. Let b(s) = -3*s - 69. Let j(v) = 3*b(v) + 5*u(v). Give q*f(w) - 33*j(w). -3*w Let p(r) = -6*r**2 + 7*r + 4. Let z(v) = -3*v**2 + 3*v + 2. Let h = 49 + -47. What is h*p(d) - 5*z(d)? 3*d**2 - d - 2 Let j(d) = -4*d**2 - 2. Let c = 18 - 14. Let m(i) = 4*i - 27. Let p be m(9). Let l(k) = 2*k**2 + 1. Give c*j(h) + p*l(h). 2*h**2 + 1 Let d(p) = p - 5. Let v(o) = -2. Let g(n) = -n + 4. Let i be g(4). Suppose i = 4*k - 3*k + 2. Calculate k*d(a) + 5*v(a). -2*a Let z(d) = 62 - 6*d - 6*d + 16*d - 59. Let s(f) = 1. What is -4*s(p) + z(p)? 4*p - 1 Let m(w) = -5*w**3 + 6*w**2 - 4*w - 4. Let l(i) = i**2 - i - 1. Let f = -3 + 10. Suppose -2 + f = -g + 3*k, 3*k - 1 = 5*g. Determine g*m(r) - 4*l(r). -5*r**3 + 2*r**2 Let p(b) = 6*b**3 - b**2 + 3*b. Suppose 0 = 91*v - 74*v - 85. Let n(y) = -11*y**3 + y**2 - 5*y. Give v*p(c) + 3*n(c). -3*c**3 - 2*c**2 Let t(r) = -2*r**2 - r + 4. Let f(g) be the second derivative of g**4/2 + g**3/2 - 6*g**2 - 77*g. Calculate 3*f(j) + 8*t(j). 2*j**2 + j - 4 Let r(o) = 13*o + 2. Let y(c) = c + 2. Let j(v) = -r(v) + 6*y(v). Let s(f) = 2. Determine -2*j(q) + 10*s(q). 14*q Let a(c) = 6*c + 7. Let k = -2146 - -2141. Let f(n) be the second derivative of 2*n + 3*n**2 + 5/6*n**3 + 0. What is k*f(q) + 4*a(q)? -q - 2 Let g(d) = 3*d**2 + 3*d - 3. Let y be 10/2 - (5 + -4). Suppose 0 = 3*s + 5*t - 3*t - 1, y = -s - 5*t. Let o(k) = k - 1. What is s*g(l) - 3*o(l)? 3*l**2 Let i(u) = 20*u**2 + 11*u + 2. Let t(g) = 31*g**2 + 17*g + 3. Determine 8*i(m) - 5*t(m). 5*m**2 + 3*m + 1 Suppose 17*g - 8*g = -45. Let d(c) = c**2 - 5. Let v(i) = i**2 + i - 4. Let m(w) = 4*d(w) - 5*v(w). Let b(f) = 3*f**2 + 18*f. Determine g*b(z) - 18*m(z). 3*z**2 Let w(q) = 2*q**2 - q. Let a(d) = -15*d**2. Let k(g) = 8*g**2 - g. Let b(p) = 3*a(p) + 7*k(p). Calculate 6*b(i) - 34*w(i). -2*i**2 - 8*i Let y(l) = 2*l**2 - l + 1. Let x(r) = r**3 - 14*r**2 - 4*r + 4. What is -x(s) + 4*y(s)? -s**3 + 22*s**2 Let b(a) = -a**2 + 3*a - 1. Let w(o) = -o. Let s(k) = b(k) + 3*w(k). Let x = 7 - 12. Let t(c) = 4*c**2 + 5. Give x*s(r) - t(r). r**2 Let p(f) = -6*f**2 + 9*f - 5. Let t(m) = 4*m**2 + 28*m - 7 - 13*m**2 - 15*m. Determine -7*p(c) + 5*t(c). -3*c**2 + 2*c Let d(y) = -4*y. Let o(z) = -4*z. Let n be (-2 - -3 - 0)*4. Let v(u) = -8*u + 85. Let g be v(11). Determine g*d(l) + n*o(l). -4*l Let p(c) = 6*c + 5. Let q(a) = -a - 1. Suppose 4*s = 23 - 7, -33 = 5*t - 2*s. Suppose -2*b - 2*b = 4. What is b*p(o) + t*q(o)? -o Let a(d) = -3*d**3 - 2*d - 10. Let j(p) = -48*p**3 - 33*p - 159. Calculate 33*a(f) - 2*j(f). -3*f**3 - 12 Let w(d) = -d. Let h(c) = -5*c + 1. Let g(m) = -m - 3. Let n be g(-2). Give n*h(k) + 2*w(k). 3*k - 1 Let o(f) = f**2 + 5*f. Suppose -8*j + 25 = -3*j. Let z(s) = -6*s + 9. Let u(k) = 3*k - 5. Let p(n) = j*z(n) + 9*u(n). Determine 3*o(m) + 5*p(m). 3*m**2 Suppose -4*k - 5*t = -43, 2*k + 23*t = 26*t + 49. Let v(l) = -l**2 + 8*l + 5. Let m(p) = 3*p**2 - 23*p - 14. Calculate k*v(a) + 6*m(a). a**2 - 2*a + 1 Let y(h) = -h**2 - 4*h + 1. Let v(i) = -i - 1. Suppose -4*u = -4*z + 6 + 10, 4*z = 5*u + 17. Calculate u*y(f) + 3*v(f). f**2 + f - 4 Let f(w) be the second derivative of w**5/5 + w**4/4 + w**3/2 + 2*w**2 - 46*w. Let q(m) = -3*m**3 - 2*m**2 - 2*m - 3. Let i = 14 - 20. What is i*q(v) - 4*f(v)? 2*v**3 + 2 Let g = 4 + -3. Let k be -1*g/(2/(-10)). Let w(s) = -s**3 - 6*s**2 - 4. Let i(q) = 0*q**3 + 137*q**2 - 12 - 144*q**2 + 7 - q**3. Calculate k*w(p) - 4*i(p). -p**3 - 2*p**2 Let b(r) = -20*r**2 - 18*r + 18. Suppose 0 = 2*j + 2*q + 6, 5*q - 4 + 3 = 3*j. Let d(k) = k**2 + k - 1. Give j*b(h) - 36*d(h). 4*h**2 Let a(b) = -14*b**2 - 2*b + 47. Let o(j) = -22*j**2 - 3*j + 70. What is 8*a(s) - 5*o(s)? -2*s**2 - s + 26 Let p(k) = -337*k. Let s(y) = 73124*y. What is -1086*p(j) - 5*s(j)? 362*j Let d(j) = j**2 - j. Let p(g) = -40*g**2 + 35*g. Let w be (-846)/12 - 5/(-10). Calculate w*d(q) - 2*p(q). 10*q**2 Let d(p) = -7*p**3 + 11*p**2. Let w(c) = 2*c**3 - 3*c**2. Let n(r) = 2 + 7*r**3 - 11*r**2 + 29*r**2 - 17*r**2 + 2*r. Let z be n(-1). Calculate z*d(q) - 22*w(q). -2*q**3 Let p(c) = 3*c. Suppose 2*r + r - 15 = 0. Let v = 10 - 2. Let f(y) = -2*y - 4*y + v*y. What is r*p(k) - 6*f(k)? 3*k Let c(w) be the first derivative of w**3/3 - 215. Let l(k) = -14*k**2. Calculate 91*c(y) + 6*l(y). 7*y**2 Let d(m) = -2*m**3 + m**2 + m + 1. Let t(j) = -5*j**3 + 2*j**2 + 4*j + 38. Determine -2*d(q) + t(q). -q**3 + 2*q + 36 Let d(u) = 6*u - 262. Let v(h) = -17*h + 787. Calculate -11*d(l) - 4*v(l). 2*l - 266 Let v(c) = -c**2 + c + 3. Let l(s) = 24*s**2 - 8*s + 11. Give l(w) - 3*v(w). 27*w**2 - 11*w + 2 Let m be (-18)/(-8) + 3/4. Let k be 3/(-2)*1/(m/(-2)). Let q(d) = d**2 - d - 1. Let o(l) = -6*l**2 + 5*l + 5. Calculate k*o(p) + 5*q(p). -p**2 Let m(f) = -8*f**3 + 3*f**2 + 20*f - 3. Let z(i) = -17*i**3 + 7*i**2 + 41*i - 7. What is 7*m(a) - 3*z(a)? -5*a**3 + 17*a Let y(z) = 40*z**3 + 2*z**2 - z - 4. Let i(t) = 121*t**3 + 5*t**2 - 3*t - 11. Calculate 4*i(v) - 11*y(v). 44*v**3 - 2*v**2 - v Let b(k) = 38*k - 9. Let c(x) = -26*x + 6. Determine -5*b(p) - 7*c(p). -8*p + 3 Let v(g) = 6*g**3 - 8*g**2 + 3. Let z(q) = -q**3 + q**2 - 1. Suppose d - 5 = 2*f, 12 = -2*d + 4*d - 5*f. Give d*v(b) + 4*z(b). 2*b**3 - 4*b**2 - 1 Let g(h) be the third derivative of -119*h**5/60 - 49*h**4/24 - 13*h**2 - 5*h. Let p(b) = -12*b**
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 196214573 is divided by 29743? 2 What is the remainder when 89860 is divided by 89850? 10 What is the remainder when 1657039 is divided by 127417? 618 Calculate the remainder when 32455941 is divided by 621. 618 Calculate the remainder when 3171804 is divided by 16434. 42 What is the remainder when 12198 is divided by 5865? 468 What is the remainder when 1041577 is divided by 104157? 7 What is the remainder when 801805 is divided by 89067? 202 What is the remainder when 1518253 is divided by 303634? 83 Calculate the remainder when 401368 is divided by 9835. 7968 Calculate the remainder when 164863 is divided by 1616. 31 Calculate the remainder when 133147 is divided by 66421. 305 Calculate the remainder when 20894917 is divided by 1826. 1825 Calculate the remainder when 103447198 is divided by 40. 38 What is the remainder when 145846982 is divided by 141599? 12 Calculate the remainder when 39569 is divided by 1443. 608 What is the remainder when 1278419 is divided by 1078? 989 What is the remainder when 103716 is divided by 24412? 6068 Calculate the remainder when 485443 is divided by 13. 10 Calculate the remainder when 247555 is divided by 62. 51 Calculate the remainder when 3069339 is divided by 4347. 357 What is the remainder when 551607 is divided by 451? 34 What is the remainder when 17677134 is divided by 68? 58 Calculate the remainder when 926827 is divided by 8275. 27 Calculate the remainder when 383271 is divided by 4674. 3 Calculate the remainder when 551631 is divided by 68857. 775 Calculate the remainder when 2193459 is divided by 109672. 19 What is the remainder when 1573246 is divided by 1487? 0 Calculate the remainder when 19901883 is divided by 4375. 8 What is the remainder when 7687 is divided by 7563? 124 Calculate the remainder when 213946 is divided by 904. 602 Calculate the remainder when 1422024 is divided by 736. 72 What is the remainder when 5114197 is divided by 2123? 2013 Calculate the remainder when 582736 is divided by 26. 24 Calculate the remainder when 3829085 is divided by 57. 53 Calculate the remainder when 4873348 is divided by 159. 157 Calculate the remainder when 9682514 is divided by 77. 72 Calculate the remainder when 4037590 is divided by 19. 14 Calculate the remainder when 1468728 is divided by 7235. 23 Calculate the remainder when 799303 is divided by 1127. 260 What is the remainder when 14563093 is divided by 98? 97 Calculate the remainder when 9828026 is divided by 9828025. 1 What is the remainder when 559506 is divided by 62165? 21 Calculate the remainder when 11895247 is divided by 10290. 7 What is the remainder when 6111672 is divided by 316? 232 Calculate the remainder when 168285 is divided by 17. 2 What is the remainder when 15069768 is divided by 1291? 1216 What is the remainder when 6141889 is divided by 19314? 37 Calculate the remainder when 30587881 is divided by 1222. 1221 Calculate the remainder when 588153 is divided by 247. 46 What is the remainder when 871414 is divided by 465? 4 Calculate the remainder when 33504 is divided by 10358. 2430 What is the remainder when 1496587 is divided by 372670? 5907 What is the remainder when 480221284 is divided by 2467? 2465 What is the remainder when 134473 is divided by 33408? 841 What is the remainder when 12963237 is divided by 40? 37 What is the remainder when 17304157 is divided by 145? 2 Calculate the remainder when 1734109 is divided by 52. 13 What is the remainder when 65204543 is divided by 7? 5 Calculate the remainder when 230189 is divided by 12107. 156 What is the remainder when 29934 is divided by 2373? 1458 Calculate the remainder when 20588842 is divided by 299. 1 What is the remainder when 2277274 is divided by 325236? 622 Calculate the remainder when 412967541 is divided by 4323. 4320 What is the remainder when 191584 is divided by 223? 27 Calculate the remainder when 5914475 is divided by 2254. 2233 Calculate the remainder when 10469519 is divided by 11. 5 Calculate the remainder when 1069520 is divided by 581. 480 What is the remainder when 19492 is divided by 19487? 5 What is the remainder when 740208 is divided by 37010? 8 What is the remainder when 4774408 is divided by 3972? 64 What is the remainder when 299526 is divided by 32977? 2733 Calculate the remainder when 424098 is divided by 268. 122 What is the remainder when 82651643 is divided by 46? 39 What is the remainder when 79855 is divided by 39? 22 Calculate the remainder when 473735 is divided by 111. 98 Calculate the remainder when 38985 is divided by 6331. 999 What is the remainder when 306963795 is divided by 22? 17 What is the remainder when 59438 is divided by 6505? 893 What is the remainder when 9160843 is divided by 1526807? 1 Calculate the remainder when 176951 is divided by 44190. 191 Calculate the remainder when 54738 is divided by 18182. 192 Calculate the remainder when 1271702 is divided by 660. 542 What is the remainder when 2054101 is divided by 55? 16 What is the remainder when 2508416 is divided by 769? 707 What is the remainder when 7800038 is divided by 639? 404 What is the remainder when 3469714 is divided by 221? 14 What is the remainder when 8493237 is divided by 673? 650 Calculate the remainder when 71079710 is divided by 23693230. 20 Calculate the remainder when 4103723 is divided by 124355. 8 Calculate the remainder when 9824 is divided by 16. 0 What is the remainder when 32623723 is divided by 1733? 1731 Calculate the remainder when 130887 is divided by 1031. 981 What is the remainder when 114575544 is divided by 1308? 1284 What is the remainder when 17427 is divided by 2979? 2532 Calculate the remainder when 555185 is divided by 18. 11 What is the remainder when 201957 is divided by 2266? 283 Calculate the remainder when 56299 is divided by 7788. 1783 What is the remainder when 4182427 is divided by 88987? 38 What is the remainder when 152656 is divided by 13808? 768 What is the remainder when 141386445 is divided by 228? 225 What is the remainder when 667231 is divided by 667224? 7 Calculate the remainder when 1183853 is divided by 394612. 17 What is the remainder when 7072124 is divided by 1785? 1739 What is the remainder when 18357 is divided by 17428? 929 Calculate the remainder when 86958 is divided by 1035. 18 Calculate the remainder when 6549619 is divided by 3775. 3769 What is the remainder when 28832 is divided by 2873? 102 What is the remainder when 12989 is divided by 5942? 1105 What is the remainder when 891240 is divided by 297045? 105 Calculate the remainder when 2864783 is divided by 11. 9 What is the remainder when 2617601 is divided by 17686? 73 What is the remainder when 2195320 is divided by 5434? 5418 Calculate the remainder when 1504559 is divided by 8047. 7817 What is the remainder when 521614 is divided by 173870? 4 Calculate the remainder when 22111 is divided by 312. 271 Calculate the remainder when 206716 is divided by 25827. 100 Calculate the remainder when 381224 is divided by 54304. 1096 Calculate the remainder when 87916 is divided by 2677. 2252 Calculate the remainder when 35296931 is divided by 118446. 23 Calculate the remainder when 8646812 is divided by 49. 27 Calculate the remainder when 153467769 is divided by 308. 301 What is the remainder when 17216549 is divided by 45? 44 Calculate the remainder when 184598647 is divided by 1768. 1767 Calculate the remainder when 4267938 is divided by 1891. 1842 What is the remainder when 40477090 is divided by 879? 19 Calculate the remainder when 33649 is divided by 1020. 1009 What is the remainder when 5982621 is divided by 6618? 6567 What is the remainder when 89318 is divided by 220? 218 Calculate the remainder when 1291368 is divided by 465. 63 Calculate the remainder when 2088352 is divided by 629. 72 Calculate the remainder when 1449588 is divided by 48316. 108 Calculate the remainder when 5180214 is divided by 1086. 1080 Calculate the remainder when 43120 is divided by 3104. 2768 What is the remainder when 503605 is divided by 649? 630 Calculate the remainder when 658909 is divided by 51. 40 Calculate the remainder when 4973565 is divided by 2486779. 7 Calculate the remainder when 7489456 is divided by 559. 533 Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
Let y be h(6). What is the second derivative of -2*p - 2*p**2 - p + 11 + 8*p + y*p - 4*p wrt p? -4 Let k(x) be the first derivative of -646*x**7/7 + x**3/3 - 56*x**2 - 1012. Find the third derivative of k(a) wrt a. -77520*a**3 Let c(i) be the second derivative of 146*i**2 + 0*i**5 - 1/10*i**6 + 0*i**3 + 55*i + 2 + 5/4*i**4. Find the first derivative of c(o) wrt o. -12*o**3 + 30*o Suppose 86856 = 8*l - 25224. Find the second derivative of -11*j**2 - l*j**3 - 6*j**2 + 6*j + 14018*j**3 wrt j. 48*j - 34 Let z(k) be the first derivative of 4*k**3/3 + 13*k**2/2 + 20*k - 25. Let f(l) = -l**2 - 3. Let q(x) = 2*f(x) + z(x). Differentiate q(g) with respect to g. 4*g + 13 Suppose 0 = 5*y - 4*j + 181 - 569, -308 = -4*y + 4*j. Find the first derivative of y + 35*x + 14 + 30*x - 4*x wrt x. 61 Find the second derivative of -818*t**2 - 2380*t + 2*t**3 + 818*t**2 wrt t. 12*t Let u(b) = -23333*b + 2561. Let p(n) = -5833*n + 619. Let o(d) = 26*p(d) - 6*u(d). What is the derivative of o(l) wrt l? -11660 Let s(l) be the first derivative of -4*l**6 + 91*l**3/6 - 135*l + 133. Let n(k) be the first derivative of s(k). What is the second derivative of n(j) wrt j? -1440*j**2 Let d(m) be the third derivative of -29*m**8/84 - 121*m**5/60 - 5*m**4/24 - 992*m**2. What is the third derivative of d(w) wrt w? -6960*w**2 Let d(z) be the second derivative of 83*z + 0*z**3 + 0 - z**5 + 0*z**2 - 5/3*z**4. Find the third derivative of d(b) wrt b. -120 Differentiate -31400 + 61536 + 4037*c - 32465 wrt c. 4037 Find the first derivative of 16*g + 6085 + 50*g**2 + 66*g**2 - g**3 + 47*g**2 - 256*g**2 - 2095 wrt g. -3*g**2 - 186*g + 16 What is the second derivative of -6495*h - 6965*h + 11880*h - 3448*h**2 wrt h? -6896 Let a(h) = -2378*h**2 + 1373*h + 18. Let j(k) = -140301*k**2 + 81005*k + 1071. Let f(g) = -119*a(g) + 2*j(g). Find the second derivative of f(t) wrt t. 4760 Let y(k) be the second derivative of -k + 163*k**3 - 22*k**2 - 2*k**4 - 163*k**3 + 4*k. Differentiate y(q) with respect to q. -48*q Let t be (-21 - -1)/(93/(-5580)). What is the third derivative of -1193*a**3 + 37*a**2 + 20*a**4 + 8*a**2 - 1 + t*a**3 wrt a? 480*a + 42 Let y(w) = -229*w**2 - 4066*w - 20. Let v(c) = 457*c**2 + 8131*c + 45. Let j(x) = 4*v(x) + 9*y(x). What is the second derivative of j(t) wrt t? -466 Find the third derivative of -2*h - 7538*h**5 + 58*h**2 + 7537*h**5 + 408*h**3 - 382*h**2 wrt h. -60*h**2 + 2448 Let l be 24/(-20)*(-20)/6. Let x be 1/4 - 11/(-4). What is the second derivative of 9*k - 5*k**3 - l*k**3 + 2*k**3 - 8*k**x wrt k? -90*k Let r(k) be the second derivative of -1997*k**4/6 + k**3/3 + 47*k**2/2 - 1966*k - 1. What is the second derivative of r(g) wrt g? -7988 Let l(f) be the second derivative of 21 + 0*f**2 - 3*f - 15/4*f**5 - 1/3*f**3 - 1/3*f**4. What is the third derivative of l(h) wrt h? -450 Suppose 4*q - a - 11 = 0, -q + 2 = 3*q + 2*a. Find the first derivative of -47*c**2 - 40 + 16*c**q + 22*c**2 + 11*c**2 + 163 - 47*c wrt c. 4*c - 47 Find the second derivative of -63*k**3 + 7*k**2 - 5*k**2 - 2*k**2 - 6074*k**3 - 4093*k wrt k. -36822*k Let k(l) be the third derivative of -5162*l**7/105 + l**5/60 - l**4/12 + 1213*l**3/6 + 55*l**2 + 41. Find the third derivative of k(a) wrt a. -247776*a Suppose 4*w + 1712 = 20*w. What is the derivative of w + 2021*r**3 - 1898*r**3 - 4 wrt r? 369*r**2 Let f(w) = -2*w**2 + 2*w - 1. Let g(z) = 167*z**2 - 312*z + 6. Let t(y) = -6*f(y) - g(y). Find the second derivative of t(a) wrt a. -310 Let m(r) be the first derivative of 4459*r**3/3 - 4951*r**2 - 6708. What is the second derivative of m(s) wrt s? 8918 Let z(i) = 21 - 115*i - 8 + 118*i. Let m be z(-3). Find the third derivative of -11*d**2 - 3*d**4 + 3*d**m + 2*d**2 - 18*d**6 wrt d. -2160*d**3 Let k(p) be the second derivative of -p**7/42 - 981*p**5/5 - p**4/12 + 3347*p**3/3 - 38*p + 6. Find the second derivative of k(v) wrt v. -20*v**3 - 23544*v - 2 What is the third derivative of -10*r**2 + 3926*r**4 - 121*r - 9*r**2 + 119*r - 1117*r**4 - 48 + r**2 wrt r? 67416*r Let h(y) = 3*y + 2. Let a(r) = -136*r + 117. Let q = 282 - 283. Let o(i) = q*a(i) + 6*h(i). What is the first derivative of o(l) wrt l? 154 Let l(h) be the third derivative of -13*h**5/60 - 485*h**4/24 + 3*h**2 - 14*h. Find the second derivative of l(j) wrt j. -26 What is the first derivative of -1132 + 5851*p**3 - 2925*p**3 - 2925*p**3 + 116*p**2 wrt p? 3*p**2 + 232*p Suppose 2*r + 5*r = -14. Let x be (-1)/r*8*6/24. Find the first derivative of -x - 5 + 5 - 3 + 4*d wrt d. 4 Let g(f) = 17*f**3 - 4*f**2 + 30*f - 951. Let y(b) = 17*b**3 - 3*b**2 + 30*b - 951. Let r(s) = -3*g(s) + 4*y(s). What is the first derivative of r(m) wrt m? 51*m**2 + 30 Let l(h) = 2*h**3 + 3820*h**2 - 4*h - 7704. Let y(d) = -6*d**3 - 7639*d**2 + 10*d + 15406. Let v(j) = -5*l(j) - 2*y(j). Find the first derivative of v(f) wrt f. 6*f**2 - 7644*f Let w(g) be the second derivative of 3199*g**3/6 - 1095*g**2 + 1738*g. Differentiate w(i) wrt i. 3199 Let t(r) be the second derivative of 255*r**7/7 + 35*r**4/3 + r + 29. What is the third derivative of t(w) wrt w? 91800*w**2 Let o be (0 + -3 + 7)*(2 - -2). Suppose -18*l + 10*l = -o. What is the derivative of 35 + f**l + 34*f**3 - 3 - f**2 wrt f? 102*f**2 Let o = 23963 - 23963. Let p(g) be the third derivative of 3/2*g**4 + 0 + 36*g**2 + 17/3*g**3 + o*g. Differentiate p(k) with respect to k. 36 Let u(c) be the second derivative of -1/6*c**4 + 0*c**5 - 21 + 0*c**6 - 1/14*c**7 + 2*c - 1/6*c**3 - 7*c**2. Find the second derivative of u(d) wrt d. -60*d**3 - 4 Let m(g) = 2*g**2 - 7*g - 31. Let y be m(-7). Differentiate -121*z**3 - 97 - 22*z**3 + y with respect to z. -429*z**2 Let o(n) = 345*n**2 - 873*n + 2. Let m(z) = 685*z**2 - 1746*z + 5. Let t(b) = -4*m(b) + 10*o(b). What is the second derivative of t(a) wrt a? 1420 Let q(r) = r**3 + 2*r**2. Let l(v) = 6*v**3 + 16*v**2 + 1587*v - 5468. Let o(a) = l(a) - 8*q(a). What is the derivative of o(h) wrt h? -6*h**2 + 1587 Let i be (-2 - (11 + -1)) + 34 + -18. Let g(s) be the first derivative of -10 + 0*s + 19/4*s**i + 5*s**3 + 0*s**2. Find the third derivative of g(t) wrt t. 114 Let z be (-16)/(-56) - 508/14. Let k = -19 - z. What is the third derivative of 9*s**2 - 10 - 1 + 11 + k*s**3 wrt s? 102 Suppose 3*t - 227 = f, -5*t + 2*f = -3*f - 395. Suppose t = 3*z - 5*u, 79 = 4*z - 3*u - 16. What is the first derivative of z - 4 + 7 + 11*n**4 + 6*n**4 wrt n? 68*n**3 Let i(s) be the first derivative of 0*s**2 - 115/3*s**3 - 136 - 13*s**5 + 0*s + 0*s**4. Find the third derivative of i(m) wrt m. -1560*m Let b(i) be the third derivative of -97*i**5/30 + 351*i**4 - 652*i**2 + 4. What is the second derivative of b(s) wrt s? -388 What is the second derivative of -2*x**2 + 2*x**2 + 37327*x**3 + 2097*x - 36226*x**3 wrt x? 6606*x Let w(h) = -3070*h**3 - 2*h**2 - 3166. Let j(t) = -6134*t**3 - 5*t**2 - t - 6333. Let b(q) = 2*j(q) - 5*w(q). What is the derivative of b(y) wrt y? 9246*y**2 - 2 Find the third derivative of -1394 + 5732*c**5 + 1392 - 508*c**2 + 5*c**3 - 249*c**2 - 5*c**3 wrt c. 343920*c**2 Suppose -4*j = -v - 169, 5*v + 189 = 4*j - 0*j. Let s = 44 - j. Differentiate 6*y**s + 405*y - 405*y - 12 with respect to y. 18*y**2 Suppose -5*s + 7 = -2*j, -6*j + 2*j = -3*s - 7. Let m(n) = 4*n - 482. Let u be m(121). Find the third derivative of -2*g**u + 56*g**4 - 11*g**2 - 21*g**j wrt g. 840*g Let t(b) be the second derivative of 1333*b**7/21 + 1427*b**3/6 + 442*b + 1. What is the second derivative of t(w) wrt w? 53320*w**3 Find the third derivative of 4*c + 2460*c**2 - 2939*c**5 + 39*c + 36*c - 79*c wrt c. -176340*c**2 Suppose 0 = -1666*l + 1484*l. Let q(j) be the first derivative of 0*j**4 + 0*j**3 + 24/5*j**5 - 26*j - 16 + l*j**2. Differentiate q(k) with respect to k. 96*k**3 Let x(i) = 38*i + 85. Let s(c) = -1. Suppose 3*b + 7 = -2*p, 5*b + 2*p + 3 = -6. Let t(h) = b*x(h) + s(h). Differentiate t(f) with respect to f. -38 Find the third derivative of -519*v**5 - 6*v**2 - 533 - 642*v**5 + 7*v**2 - 192 - 12 wrt v. -69660*v**2 What is the second derivative of -30*y**5 + 239*y**4 - 9321*y**2 + 4881*y + 9321*y**2 + 36*y**5 wrt y? 120*y**3 + 2868*y**2 Let w(z) be the first derivative of -5476*z**5/5 + 5198*z**3/3 - 5116. Find the third derivative of w(j) wrt j. -131424*j Let z(f) = -f**3 - 6*f**2
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -2.1? (a) -0.5 (b) -23 (c) 1/6 (d) -1931 (e) 0.24 a What is the closest to 0 in -4, -2, -8, -3, 0.1, -14.7? 0.1 Which is the nearest to 2? (a) 6 (b) -57 (c) 0.1 (d) -5/7 (e) 9/16 e Which is the closest to -4? (a) 20 (b) 0.3 (c) -109 (d) -5 d What is the closest to -2.2 in 1/150, -1096, -0.3, -1? -1 What is the nearest to -1 in -0.5, 0.5, -0.20195, -1? -1 Which is the nearest to -1? (a) 8.6 (b) -0.2112 (c) -3 (d) -1/5 b What is the nearest to -69/370 in -2/5, 14, -1, 2, 0.5, 5? -2/5 What is the nearest to 106/13 in 1, 0.4, -411, -19, -1/3? 1 What is the closest to 0.1 in -12.4, -20, -0.0419, -1/6? -0.0419 What is the nearest to 0.41 in 2, 6, -0.5, -106.9? -0.5 Which is the nearest to 2/3? (a) 84.8 (b) 1284 (c) -3 c What is the nearest to -376/21 in 0.5, 2/11, -25? -25 Which is the nearest to -63585? (a) 16/5 (b) -1/10 (c) 2/5 b Which is the closest to 1/56? (a) 0.9 (b) 0.1 (c) -2/15 (d) 0.3 b What is the nearest to 85 in 6, -4/3, -3/7, -36? 6 What is the nearest to -0.2 in 2, 3, 1, 4/7, 1299, 2.6? 4/7 Which is the nearest to -1/3? (a) 5 (b) 2706 (c) -2 (d) 2/15 (e) -0.05 e Which is the closest to 21? (a) -9 (b) 0.1 (c) 195 b What is the closest to 1928 in -5/3, -1, -397? -1 Which is the closest to -125/7? (a) -2 (b) 2/15 (c) 1/25 (d) 5 a What is the closest to 0 in -1/3, -4, -2, -0.064, -3, -4.4? -0.064 Which is the nearest to -10.26? (a) 5 (b) 1 (c) -7 (d) 1/9 c What is the closest to 1 in -1/4, -196/3, -9/11, 2/3, -3/5, -1/2? 2/3 What is the closest to -2 in -2/1147, -14, -2.8? -2.8 What is the nearest to 1/4 in 0, 109, -2, 34441, -0.2? 0 Which is the closest to -7? (a) -104/51 (b) 0.1 (c) 1/7 (d) -56 (e) 1 a What is the nearest to 0.1 in 71, 7, -42.47? 7 What is the nearest to 8/5 in 396898/5, 3, -1? 3 What is the closest to -0.1 in 5, -4, 9.709, 7? -4 Which is the nearest to 17/3? (a) -3 (b) -1 (c) -167410 b What is the closest to 0.123 in -1/5, 0.1, 2/25? 0.1 What is the nearest to -0.05 in 0.0352, 4, 0.3, 0.02? 0.02 Which is the nearest to -2.24? (a) -1 (b) -2 (c) -138 b Which is the closest to 27? (a) -11 (b) -1/4 (c) 41/5 (d) 2 (e) -6 (f) -2/11 c What is the nearest to 239866 in -2, 5, 0, 1? 5 Which is the nearest to -1/296? (a) -3 (b) -2 (c) -1 (d) -5 (e) 8.5 c What is the closest to 0 in 6.7682, 5, 0.5, -2, -1/3? -1/3 What is the nearest to 1/4 in 791, -4/5, -2/9, 5, 32? -2/9 What is the nearest to 2/5965 in 4/3, -0.9, 1/3, -1? 1/3 What is the closest to -11 in 131, -8/19, 2/5? -8/19 Which is the closest to 0.1? (a) 19 (b) -17.2 (c) -1715 (d) 1/2 (e) -3 d Which is the closest to -182/11? (a) 121 (b) 0.4 (c) -2 (d) 1/4 c Which is the nearest to 0.08? (a) -10388 (b) -0.4 (c) 74 (d) 1 b Which is the closest to 0.6? (a) -0.5 (b) -64 (c) 2 (d) 23/35 (e) -5 d What is the nearest to -3 in 0.2, -5, -4, 0.929, 37/26? -4 What is the closest to -0.3 in 1, 184, -0.19, 1/6, 4? -0.19 What is the closest to -3/56 in 3, 553, -1/4? -1/4 Which is the closest to 3115? (a) 1.4 (b) 0.4 (c) 2 (d) -2/5 c What is the nearest to 748 in 19/8, 1/3, -4, 5? 5 Which is the closest to -0.2? (a) 1/10 (b) 2/3 (c) 145 (d) -3/2 (e) 1/312 (f) 0.05 e What is the closest to 3 in -0.57, -2/19, -0.3, -1, 49/3? -2/19 What is the nearest to 16 in -1, 329/5, 2, -35, -1/2? 2 Which is the nearest to 0? (a) 1278 (b) -8/7 (c) 11 (d) -2/3 d Which is the closest to -9? (a) 2/9 (b) -45 (c) -5 (d) -1/3 (e) -0.0919 c What is the closest to 0 in -16/9, 30347/2, 2? -16/9 Which is the nearest to 3? (a) -1/14 (b) 6 (c) -12/7 (d) -83 (e) 18 (f) -2/9 b Which is the closest to -1? (a) 1/3 (b) -15.7 (c) -0.13 (d) 1 (e) 2.6 c What is the nearest to 2/7 in -80/9, -6, -0.09, 1, -0.1? -0.09 What is the nearest to -7.59 in -8, 1, 13/7, -1, -0.2? -8 What is the closest to 121 in 1/4, 2, -15.9, -0.3? 2 What is the closest to -2 in -63/20, -9, 2/5, -0.4, -2? -2 Which is the nearest to 2? (a) -3 (b) -2/7 (c) 3 (d) 5.6877 c What is the nearest to 0 in 0.3, -13.1, 0.752, -1/2, 0? 0 What is the nearest to 10 in -4/3, -0.03, 4670? -0.03 Which is the closest to 1? (a) -2/13 (b) 103510 (c) 3 a Which is the closest to -2/7? (a) -0.3 (b) -7.7 (c) 197/4 a Which is the closest to 0.1? (a) 0 (b) -26 (c) -949 (d) -42 (e) -3 a Which is the closest to 2? (a) 0.2 (b) 0.031 (c) 39 (d) -12 (e) 3/5 (f) 0.02 e What is the nearest to 5/6 in 2/3, 0, -0.2, 0.032, 2, 4? 2/3 What is the closest to 0.2 in -154, 427/11, 4? 4 Which is the nearest to 0? (a) 7 (b) 2/3 (c) 0.2 (d) 115 c Which is the nearest to 0? (a) 0.4 (b) 55 (c) -2595 (d) -1/9 d What is the nearest to 0.3 in 3/7, -1951, -2/5, 9, -0.2, -1? 3/7 What is the closest to -1 in -5, 2, -12/11, 4, -56102? -12/11 What is the nearest to -266 in -3, -5, 5, -34? -34 What is the closest to -40 in -17.47, -6, -4, -0.5? -17.47 Which is the closest to -2? (a) -1 (b) -1/5 (c) -20/31 a Which is the nearest to 4? (a) -2 (b) -4 (c) -3 (d) -2/39 (e) -905 d Which is the closest to -40? (a) -1/4 (b) 0.00443 (c) -0.03 a What is the closest to 0.1 in 2, 1.7, -2019, -5? 1.7 Which is the nearest to 2/151? (a) 0.5 (b) -0.053 (c) 523 b What is the closest to -8 in -0.11396, 4/3, -5, 7? -5 What is the closest to -1/4 in 0.06, -1/3, -2.06, 1/2, -115? -1/3 What is the nearest to 17 in -3270, 1/3, -1.5? 1/3 What is the nearest to 47513 in 0, 2, 0.5, 1/3? 2 What is the nearest to -2/31 in -331, 304, -1? -1 Which is the closest to -13? (a) 1.74 (b) 0.3 (c) 1.55 (d) -2 d What is the closest to 2/7 in 15, 2/7, -10268? 2/7 Which is the nearest to -0.2061? (a) 3 (b) -3 (c) -201 (d) 0.3 (e) 2/9 e Which is the closest to 7? (a) -9 (b) -0.5 (c) -206/3 (d) -0.3 d What is the closest to -0.23 in -117805, -0.4, -1/2? -0.4 What is the closest to 4 in -2, -20.4, 0.1, 4? 4 Which is the nearest to 23? (a) -5 (b) 98976 (c) -2/3 c Which is the closest to -1/15? (a) 1/3 (b) -2 (c) -0.38108 c Which is the nearest to -3? (a) -57539/2 (b) -4/35 (c) -4 c What is the nearest to 0 in -9.12, -2, -9/602? -9/602 What is the closest to -2 in -3, 0.2, -0.72284, 3/7? -3 What is the closest to 1/2 in -2/9, -0.04178, 2/91? 2/91 Which is the nearest to -5? (a) -5 (b) -1182 (c) -2/7 (d) 11 a Which is the closest to -3/2? (a) -0.1 (b) 2 (c) -71514 a Which is the nearest to 91/213? (a) 0.4 (b) 3 (c) -2/3 (d) 2/19 a What is the nearest to -4 in -9378, -20, 0.3, 4/27? 4/27 Which is the closest to -2/7? (a) -22 (b) 0.2 (c) -0.8 (d) -3 (e) 10 b What is the closest to -7 in 3, -5, 0.26, 1121? -5 Which is the nearest to 1/7351? (a) -5 (b) -3 (c) -0.04 (d) 4/7 (e) -4 (f) 1 c What is the nearest to 1 in -227363, -95, -3? -3 What is the nearest to -0.1 in -42/5, -1/3, 3/7, -5, -3/4, 8/3? -1/3 Which is the nearest to 4? (a) -1/3 (b) 2/15 (c) 0.2 (d) 15 (e) -1/2 c What is the closest to -332 in -17/6, -0.3, 2/11? -17/6 Which is the closest to 0.3? (a) 3 (b) -60 (c) -3 (d) -1/3 (e) 0.5 (f) 2/907 e Which is the closest to -5? (a) -1 (b) -30423 (c) 2 (d) -2 d What is the closest to -2/5 in -418274, 1/7, -1/2? -1/2 What is the nearest to 61 in -5, -0.13, 1, 618? 1 What is the closest to -2 in -2, -47, -4, -0.23808, 2/9? -2 Which is the closest to -1/6? (a) -4 (b) 115928 (c) -5 (d) -3 d Which is the closest to 0.03? (a) -4.7 (b) 1.1 (c) -2/13 (d) -3 (e) -76 c What is the nearest to 0.082 in 15, -2/15, 505? -2/15 What is the nearest to 18 in 2/15, -375, -2, -12, 2/7, -11? 2/7 Which is the closest to 302? (a) -2 (b) -27 (c) 2 (d) 2/9 c Which is the closest to -0.17? (a) 0.5 (b) -5 (c) 3/7 (d) 9/10 c Which is the nearest to -0.1? (a) -4 (b) -3 (c) -665 (d) -22 b Which is the nearest to -0.6? (a) -2.4 (b) 4 (c) 1/644 (d) 3/5 c What is the closest to 8/13 in 1/4, 0.2, -15/169? 1/4 Which is the closest to 0.07? (a) -2/5 (b) -58/27 (c) 10.5 a Which is the closest to -46573? (a) 1 (b) 0.03 (c) 4 (d) -1 (e) 0.3 (f) 3 d What is the nearest to -1/15 in -693, 0.5, 16/3, 0.4, -1/2? -1/2 Which is the closest to -3/5? (a) 0.1 (b) -0.1 (c) 0.5 (d) 2 (e) -12.3 (f) -11/2 b Which is the nearest to 1/3? (a) 110 (b) 3 (c) -136/579 (d) 0.3 (e) 0 (f) 1 d What is the closest to 119.29
{ "pile_set_name": "DM Mathematics" }
) = 3*t**2 + 602*t. What is 2*d(k) + 9*h(k)? 3*k**2 + 610*k Let w(u) = -3*u + 62 + u**3 + 2*u - 65. Let m(q) = -1. Let o(g) = 4*m(g) - w(g). Let h(z) = 14*z**3 - 21*z + 21. What is -h(j) - 21*o(j)? 7*j**3 Let i(y) = 7*y + 3. Suppose -1 = -4*h + h - x, 15 = 3*h + 3*x. Let u(n) = -6*n - 3. Determine h*i(s) - 3*u(s). 4*s + 3 Let j(h) = -5*h**2 - 4*h. Let m(p) be the first derivative of 0*p + 1/2*p**2 - 23. Suppose -4*q + 16 = -2*c - c, 3 = -q - c. Calculate q*j(x) + 3*m(x). -5*x**2 - x Let m(h) = 3*h**3 + h**2 + 6*h - 2. Let l(o) = -6*o**3 - 2*o**2 - 13*o + 4. Let j = 123 + -74. Let v be 630/j - 6/(-42). Calculate v*m(d) + 6*l(d). 3*d**3 + d**2 - 2 Let w(n) = 4*n**3 + 397*n**2 + 8*n + 6. Let g(t) = 3*t**3 + 397*t**2 + 7*t + 5. Give 6*g(j) - 5*w(j). -2*j**3 + 397*j**2 + 2*j Let h = 120 + -76. Let c = 1109 - 1146. Let i = h + c. Let d(v) = 6*v**3 + 7*v + 10. Let o(l) = 2*l**3 + 2*l + 3. What is i*o(g) - 2*d(g)? 2*g**3 + 1 Let h(z) = 20*z + 2. Let k(a) = -115*a + 193. Give -5*h(j) - k(j). 15*j - 203 Let l(t) = -2*t - 26*t + 9 + 27*t - t + 1. Let p(i) = 1. What is l(g) + 2*p(g)? -2*g + 12 Let x(r) = 40*r**2 + 28*r + 544. Let m(j) = -27*j**2 - 18*j - 363. Give 11*m(v) + 7*x(v). -17*v**2 - 2*v - 185 Let o(m) = 8*m**2 + m + 2. Let c be (-8)/(-5 - -1) + 0. Let n(g) = -17*g**2 - 2*g - 4. Determine c*n(s) + 5*o(s). 6*s**2 + s + 2 Let t(a) = -a. Let q(r) = r**2 - r + 1. Let k be (-2 - -2)/(-1) - -1. Let b be (112/(-42))/(-3 - (-66)/18). Calculate b*t(m) + k*q(m). m**2 + 3*m + 1 Let v(l) = 5*l**2 + 15*l - 15. Let p(n) be the first derivative of n**3/3 + 3*n**2/2 - 3*n + 3400. What is -11*p(t) + 2*v(t)? -t**2 - 3*t + 3 Let w(i) = -i. Let c(x) be the third derivative of -17*x**4/4 + 692*x**2. What is -c(s) + 68*w(s)? 34*s Let o(m) = 3*m**2 - 4*m + 2. Let p(k) = 4*k**2 - 4*k + 2. Let h be (466/5)/(2/(-10)). Let b = h + 468. Determine b*p(t) - 3*o(t). -t**2 + 4*t - 2 Let q(g) = -3*g**2 - 5*g - 1. Let l(j) = -19*j**2 - 571*j - 4. Calculate l(r) - 4*q(r). -7*r**2 - 551*r Let h(y) = -y**2 + 127*y + 157. Let x(b) = 21*b + 24. Give -2*h(t) + 13*x(t). 2*t**2 + 19*t - 2 Let c(m) = 2. Let h(g) = -3*g - 3. Let j = -4076 - -4078. Determine j*c(t) + 2*h(t). -6*t - 2 Let j(t) = -13389*t - 6. Let p(f) = 13391*f + 9. Determine -3*j(r) - 2*p(r). 13385*r Let q(n) = -4*n - n - 2 - 3*n. Let v(p) = -9*p - 2. Let j be (-25 - -8) + -21 + 35. Give j*v(r) + 4*q(r). -5*r - 2 Let v(c) = 8*c - 10. Suppose 4*n + 11 = 5*l, 3*l + 1019 = -3*n + 1058. Let u(k) = -k + 1. Determine n*u(s) + v(s). 2*s - 4 Let l(w) = 3*w**2 + 12*w - 6. Let h(i) = -10*i**2 - 40*i + 18. What is 5*h(j) + 16*l(j)? -2*j**2 - 8*j - 6 Let t(f) = 2. Let y(k) = 7*k - 120. Calculate 7*t(o) + y(o). 7*o - 106 Let l(j) = -6*j**3 + 5*j**2 + 2*j + 4. Let p(n) = 6*n**3 + n**2 - 19*n - 11. Let q(m) = -m**3 - m**2 + 6*m + 3. Let r(d) = -p(d) - 3*q(d). Give 2*l(a) - 5*r(a). 3*a**3 - a - 2 Let w(c) = -c + 2. Suppose -3 = 3*z, -11 + 4 = -2*u - z. Let x(k) = 19*k - 10. Let b(f) = -41*f + 21. Let s(q) = 6*b(q) + 13*x(q). What is u*s(g) + 7*w(g)? -3*g - 2 Let l(s) = -26*s. Let z(q) = -51*q - 116. What is 2*l(d) - z(d)? -d + 116 Let h(u) = u**2 - 305*u - 1239. Let b be h(-4). Let c(x) = 51*x**3 + 8*x**2 + 8*x - 8. Let l(m) = 17*m**3 + 3*m**2 + 3*m - 3. Give b*c(z) + 8*l(z). -17*z**3 Let k(c) be the third derivative of c**4/6 - 4*c**3/3 + 157*c**2 - 2*c + 1. Let a(j) = 3*j - 5. Give 7*a(w) - 5*k(w). w + 5 Let u(r) = -2*r + 14811. Let w(t) = 8*t - 59213. Determine -9*u(s) - 2*w(s). 2*s - 14873 Let g(b) = 2*b**2 + b + 12. Let f be ((-3)/((-15)/1))/((-9)/(-45)). Let s(t) = -t**2 - 1. Give f*g(d) + 4*s(d). -2*d**2 + d + 8 Let w(q) = 12*q**2 + 49*q + 16. Let o be w(-21). Let g(n) = -4285*n + 4 - 9 + o*n. Let p(k) = -k - 1. What is g(d) - 4*p(d)? -2*d - 1 Let z(v) = -v**2 - 1. Let y(f) = f**3 - f**2 - 1. Let q = 51 - 52. Let l be -40 + 40 - (-3 - (0 + q)). Calculate l*z(n) - 2*y(n). -2*n**3 Let a(y) = 4 + 0 - 3 - y**3 - y. Let z be 5 + (-7 - -5) + -1. Let k(r) = -70 - 78 + 150 - 2*r + r**z - 5*r**3. Determine -2*a(j) + k(j). -3*j**3 + j**2 Let n(o) be the second derivative of o**5/4 - 7*o**4/12 + 7*o**3/6 - 1995*o. Let t(g) = -g**3 + g**2 - g. Calculate 2*n(d) + 14*t(d). -4*d**3 Let d(i) = 4. Let w(k) = -34*k + 88. Calculate 132*d(y) - 6*w(y). 204*y Let n(m) = -m**3 - 2*m**2 - m - 1. Let z(d) = 2*d**3 - 336*d**2 + 5*d + 5. What is -5*n(c) - z(c)? 3*c**3 + 346*c**2 Let t(c) = -3275*c**3 - 57*c**2 - 3*c + 1. Let m(b) = 3275*b**3 + 76*b**2 + 4*b - 2. Calculate -3*m(a) - 4*t(a). 3275*a**3 + 2 Let w(f) = 17*f - 16. Let n(b) = 20*b - 19. Give 3*n(h) - 2*w(h). 26*h - 25 Let b = 151 - 157. Let u(a) = -a - 1. Let m be u(b). Let v(x) = -2*x. Let q(s) = -3*s + 1. Determine m*v(f) - 3*q(f). -f - 3 Let v(q) = 2*q**3 - 3*q**2. Let s = 10 - 11. Let n be 3 + s/(2/8). Let m = 376 + -379. Let t(p) = p**2. Determine m*t(c) + n*v(c). -2*c**3 Let l(f) = -6*f**2 + 3*f - 14. Let d(s) = -4*s**2 + 11*s + 17. Let k(u) = -10*u**2 + 26*u + 38. Let j(z) = 7*d(z) - 3*k(z). Give -17*j(b) - 6*l(b). 2*b**2 - b - 1 Let q(c) = -c**2. Let x be (-4512)/768 + (-2)/16. Let i(r) = 23*r**2. What is x*q(n) + i(n)? 29*n**2 Let l(p) = p - 9. Let f(d) = -9965*d - 54. Calculate f(s) - 6*l(s). -9971*s Let d(u) = -5*u**2 - 4*u + 146. Let j(i) = 3*i**2 + 3*i - 146. Give 2*d(c) + 3*j(c). -c**2 + c - 146 Let b(f) = 41*f + 38. Let n(p) = -4*p + 9. What is -2*b(v) - 18*n(v)? -10*v - 238 Let b(y) = -1. Let c(g) be the third derivative of 11*g**4/24 + 2*g**3/3 - 16502*g**2 - 1. Let n = 1 + -5. What is n*b(a) - c(a)? -11*a Let l(x) = -323*x**2 + 4*x + 1. Let t(p) = -970*p**2 + 14*p + 4. Calculate 7*l(k) - 2*t(k). -321*k**2 - 1 Let y(m) = 13*m**3 - 9*m**2 - 7*m + 1. Let j be ((-7)/((-28)/(-16)) - 18/(-6)) + 3. Let c(d) = -4*d**3 + 3*d**2 + 2*d. Determine j*y(r) + 7*c(r). -2*r**3 + 3*r**2 + 2 Let w(j) = -63*j + 59. Let f(r) = 55*r - 59. What is 6*f(v) + 5*w(v)? 15*v - 59 Let u(w) = 5*w**3 - w + 1. Let s(i) = -133*i**3 + 2. Calculate s(x) - 2*u(x). -143*x**3 + 2*x Let o = -43090 + 43094. Suppose n - 5*d = -7, -4*n = 2*d - 10 - 6. Let i = -2 + n. Let r(a) = -a - 1. Let y(l) = 8*l + 5. Calculate i*y(z) + o*r(z). 4*z + 1 Let i(h) = -h**2 + 43*h - 53. Let l(g) = g**2 - 72*g + 106. Determine -5*i(a) - 3*l(a). 2*a**2 + a - 53 Let g(q) = -8*q**3 - 5*q + 5. Let u(v) = 12*v**3 + 8*v - 8. Let t be 2 + (-3 - -6) + -2. Suppose -8 = -t*b + 2*b. Let a = 1334 - 1329. Give a*u(j) + b*g(j). -4*j**3 Let v(z) = -z - 2. Let c(d) = d + 2. Let n(w) = -5*c(w) - 4*v(w). Suppose -19*k + o = -17*k + 2, 13 = k - 4*o. Let a(i) = -1. Determine k*a(x) + 2*n(x). -2*x - 1 Let x(y) = -5*y - 1. Let r(b) be the second derivative of -11*b**3/6 - b**2/2 + b. Suppose -106*d + 72 + 533 = -31. What is d*r(u) - 13*x(u)? -u + 7 Let s(d) = -2*d**2 - 7*d. Let o(u) = u**2 + 9*u - 1. Determine 4*o(y) + 5*s(y). -6*y**2 + y - 4 Let a(w) = -4*w + 11. Suppose 131*c - 286 = -155*c. Suppose -5*b - 3*p = -0*p - 30, 11 = -3*b + 4*p. Let h(q) = q. What is b*h(v) + c*a(v)? -v + 11 Let n(h) = 21*h**3 + 2*h - 7. Let x(v) = -v**3 + 5*v + 12*v**3 + 52 - 4*v - 55. Determine -3*n(k) + 7*x(k). 14*k**3 + k Let f(r) = 2*r**2 - 3*r. Let m(b) = -9*b**2 + 13*b. Let u = -619 + 608. Let h be (-3 - -3) + -2 - (u - -15). What is h*m(d) - 26*f(d)? 2*d**2 Let q(k) = -6*k**2 + 2*k**2 - k - 3 + 10*k**2 + 1. Let j(b) = -b**3 + 31*b**2 - 6*b - 11. Calculate 2*j(c) - 11*q(c). -2*c**3 - 4*c**2 - c Let y(q) = -q + 1. Let k(o) be the third derivative of o**5/60 - o**4/8 + o**3/2 + 6493*o**2. Give k(b) - 2*y(b). b**2 - b + 1 Let s(u) = -59830*u - 1209. Let n(i) = -893*i - 18. Give 403*n(x) - 6*s(x). -899*x Let w(l) = l + 4. Let q(n) be the first derivative of -8*n + 4*n + 2*n + 10*n - 30 + n**2. What is -4*q(f) + 9*w(f)? f + 4 Let b(f) = -39*f - 35. Let s(x) = -28*x - 34. What is -6*b(q) + 5*s(q)? 94*q + 40 Let i(x) = -13*x + 4. Let l(r) = 30*r - 5. What is -7*i(a) - 3*l(a)? a - 13 Let a(s) = 21 + 11*s + 12*s - 30*s + 11*s. Let b(x) = 3*x + 14. Calculate -5*a(p) + 7*b(p). p - 7 Let v(r) = -2326*r**3 - 17*r - 11. Let z(f) = 465*f**3 + 3*f + 2. What is 4*v(b) + 22*z(b)? 926*b**3 - 2*b Suppose -1425 = -f - 4*f. Let l = 286 - f. Let w(r) = r**3 - r**2 + r. Let g(c) = 5*c**3 - 2*c**2 + 2*c + 2. Calculate l*g(s) - 2*w(s). 3*s**3 + 2 Let u(i) = -9*i + 4. Let m(z) = -2*z + 5. Determine
{ "pile_set_name": "DM Mathematics" }
3584461 wrt d? 61452336*d**2 Differentiate -400767*a**2 - 6*a + 502957122. -801534*a - 6 What is the second derivative of 429164173*f**5 + 8168492*f? 8583283460*f**3 Find the second derivative of 4953*k**3*l + 4623*k**2*l - k**2 - 13*k*l + 23292423*k wrt k. 29718*k*l + 9246*l - 2 Find the first derivative of 79921883*i + 34158786. 79921883 Differentiate 839533767*f**3 + 66106675 wrt f. 2518601301*f**2 What is the second derivative of -4*w**3 + 1067624*w**2 + 5513*w + 507 wrt w? -24*w + 2135248 Find the first derivative of 24*g**2*v + 461430*g*v**3 - 2*v**3 - 14850566*v + 2 wrt g. 48*g*v + 461430*v**3 What is the first derivative of 3*k*u**3 + 3806145*k*u + 6496762*k wrt u? 9*k*u**2 + 3806145*k What is the third derivative of -119*o**5*x**3 - 32876*o**5 + 3*o**2*x**3 + 12*o**2*x + 3374*o**2 wrt o? -7140*o**2*x**3 - 1972560*o**2 What is the second derivative of 239304029*i**4 - 106411111*i - 3 wrt i? 2871648348*i**2 What is the first derivative of 89500*w**3 - 3*w**2 + 4276571? 268500*w**2 - 6*w Find the second derivative of 34717430*t**4 - 5*t - 1163313. 416609160*t**2 What is the third derivative of -18255102*j**3 - 14*j**2 - 98*j - 109 wrt j? -109530612 What is the second derivative of -25261500*u**3 + 6*u - 180116? -151569000*u Find the third derivative of -81726524*u**3*v**2 + 1742106*u**2*v**2 + u wrt u. -490359144*v**2 Find the third derivative of 729*g*q**5 - 689*g*q**2 - 87*g*q + g - 46754*q**5 - 2*q**2 - 1 wrt q. 43740*g*q**2 - 2805240*q**2 What is the second derivative of 106181719*b**2 + 3*b + 24434236 wrt b? 212363438 Find the third derivative of 175*g*o**3 + 2*g*o**2 - 1168*g + 4375*o**3 - 22*o**2 + 61*o + 1 wrt o. 1050*g + 26250 Differentiate 723281151*z + 660487878. 723281151 What is the second derivative of -7*v**4 + 8*v**3 + 1647*v**2 - 224*v - 20838? -84*v**2 + 48*v + 3294 Find the second derivative of -18760917*q**2 - 1857156*q wrt q. -37521834 What is the derivative of 839*k*u**2 + 6503042*k - 4324*u**3 wrt u? 1678*k*u - 12972*u**2 Differentiate -47181*f*y + 208*f + 192493805*y wrt f. -47181*y + 208 What is the derivative of 623694399*a*k + 114505328*a wrt k? 623694399*a What is the third derivative of -3*b**4*g - 3087*b**4 + 34535*b**3*g - b**2*g + 234130447*b**2 + b*g - 1 wrt b? -72*b*g - 74088*b + 207210*g Find the first derivative of -22941110*s**4 - 31295006 wrt s. -91764440*s**3 Find the first derivative of 30788646*q + 461620472. 30788646 What is the third derivative of -13*k**6 + 9218344*k**4 + 224781786*k**2? -1560*k**3 + 221240256*k What is the first derivative of 64*c**2 - 792930*c + 22375758 wrt c? 128*c - 792930 Differentiate 399*g**2 + 75307*g + 73556635. 798*g + 75307 Find the first derivative of -2*a**4 + 129188331*a**2 - 153136304. -8*a**3 + 258376662*a Find the second derivative of -2*k**3 - 5814978*k**2 - 331048*k + 10 wrt k. -12*k - 11629956 What is the second derivative of 91398*l**5 - l**3 + 204*l**2 - 81484652*l wrt l? 1827960*l**3 - 6*l + 408 What is the second derivative of 8252800*l**3 - 226380*l - 32? 49516800*l What is the third derivative of -3185604*g**3 - 2*g**2 - 14478419*g wrt g? -19113624 What is the third derivative of 912351325*m**5 - 87328167*m**2 wrt m? 54741079500*m**2 What is the second derivative of -3834349*k**2*y**2 + 13*k**2*y - k**2 - 9*k*y**2 - 2*k*y - 1177337*k + 2*y**2 - y + 1 wrt k? -7668698*y**2 + 26*y - 2 Find the second derivative of -146*c**4 - 881*c**3 - 2*c**2 + c + 23861862 wrt c. -1752*c**2 - 5286*c - 4 What is the third derivative of 389*g**4*t**2 + 129*g**4 + 789*g**3 - 2*g**2*t**2 + 8967788*g**2*t - 6*g*t**2 - 2*g*t wrt g? 9336*g*t**2 + 3096*g + 4734 Find the first derivative of 30398*r**3*w**2 - 94145*r**3 - 251*r**2*w**3 - 1544*r wrt w. 60796*r**3*w - 753*r**2*w**2 What is the derivative of 3*r**2*v - 5991701*r**2 + r*v + 2883969*v + 13 wrt r? 6*r*v - 11983402*r + v What is the second derivative of 9*p**4 - 463*p**3 - 18*p**2 + 6343307*p wrt p? 108*p**2 - 2778*p - 36 What is the third derivative of -5773808*q*t**3*u*y + 5*q*t**2*u*y - q*t**2*u + 41*q*y + 39*t*u*y - 16*t*y wrt t? -34642848*q*u*y What is the first derivative of -524556514*l**4 + 192736622 wrt l? -2098226056*l**3 What is the third derivative of 21419604*c**4 + 17*c**2 + 183*c + 345 wrt c? 514070496*c What is the first derivative of 140492055*l**2 - 98666664? 280984110*l Differentiate d*r**2 + 6*d*r + 111874*d + 2979*r**2 + r - 114 wrt r. 2*d*r + 6*d + 5958*r + 1 What is the third derivative of 25136248*n**3*x**3 + 106031509*n**2*x - x**3 wrt n? 150817488*x**3 What is the third derivative of -3*g*v**5 - 5268276*g*v**3 - 4*g*v**2 + 5*g*v - 5*g - v**2 + 13*v - 2 wrt v? -180*g*v**2 - 31609656*g Find the third derivative of -38815032*l*z**3 - l*z**2 - 2*l*z - 63798*l - 6*z**2 wrt z. -232890192*l What is the second derivative of -1513*u**4 - 848*u**3 + 31198066*u wrt u? -18156*u**2 - 5088*u Differentiate -1559*g**2 - 13889*g - 37683860 wrt g. -3118*g - 13889 What is the derivative of 1705706*i**2*p - 2*i**2 - 2*i*p + 81084*i - p - 7 wrt p? 1705706*i**2 - 2*i - 1 What is the second derivative of 13766579*b**2 - 6281779*b? 27533158 Differentiate -2*b**2*j - 1143*b**2 - 281*b - 3050962*j + 6 with respect to j. -2*b**2 - 3050962 What is the second derivative of n**4 + 6*n**3 + 4440*n**2 - 3921354*n? 12*n**2 + 36*n + 8880 Find the second derivative of -31428375*f**4 + 2*f - 12446439. -377140500*f**2 What is the derivative of -32920*c**2 + 9275*c - 702793953 wrt c? -65840*c + 9275 What is the second derivative of 10201738*f**2 + 1264612*f wrt f? 20403476 Find the first derivative of 4171448*j**3 + 4622996 wrt j. 12514344*j**2 What is the second derivative of 5501*r**3 + 1075*r**2 + 768263*r + 1? 33006*r + 2150 Find the second derivative of -2942*i**2*p - 484*i**2 - 380*i*p + 15*i + 129*p wrt i. -5884*p - 968 What is the first derivative of -25601823*x**2 + 46863330? -51203646*x What is the first derivative of 3121336*f + 5347314 wrt f? 3121336 Find the second derivative of -68*f*j**3 - 1151*f*j**2 + 2*f*j + 6*f + 15*j**3 - 2*j - 14050 wrt j. -408*f*j - 2302*f + 90*j Find the second derivative of -230*o**3*t**2 - 538*o**3 + 91147*o**2*t**2 + 40143*o**2*t + o*t**2 wrt t. -460*o**3 + 182294*o**2 + 2*o Find the third derivative of 4326336*x**5 - 1882674*x**2 wrt x. 259580160*x**2 Find the first derivative of -37291416*c**4 - 24803293 wrt c. -149165664*c**3 What is the third derivative of 8169*d**3*t**2 + 150*d**3*t + 3*d**3 + 4*d**2*t**2 + 9*d**2*t - 1020*d**2 - 21*d*t wrt d? 49014*t**2 + 900*t + 18 Find the second derivative of 25866*h**2*s**3 + 94484*h**2*s + 1281*h*s**4 - 538*h*s wrt s. 155196*h**2*s + 15372*h*s**2 Find the third derivative of -5*p**3*x**2 - 5*p**3*x - 778645*p**3 - 6*p**2*x**2 + 2*p**2*x - 150463*x wrt p. -30*x**2 - 30*x - 4671870 What is the second derivative of -140270283*k**2 - 231980259*k wrt k? -280540566 Find the third derivative of 10066635*l**5*r - 2*l**4*r - 4711*l**2 + 10210*l*r wrt l. 603998100*l**2*r - 48*l*r What is the second derivative of 5*w**3*z**2 + 2*w**2*z + 2141490*w**2 + 87344*w*z**2 - 19*w*z wrt w? 30*w*z**2 + 4*z + 4282980 What is the second derivative of -3*q*v**3 + 55*q*v - 11989*q - 6*v**3 - 442514*v**2 wrt v? -18*q*v - 36*v - 885028 What is the third derivative of -1189*a*q**2*t**3 - 2743*a*q*t**3 + a*q*t**2 + a*q - 2*a*t + 4*q**2 - 10494*q + 23 wrt t? -7134*a*q**2 - 16458*a*q What is the third derivative of -4*p**5 - 677847*p**4 + 28*p**3 - 4*p**2 + 99335711? -240*p**2 - 16268328*p + 168 Find the third derivative of -9381490*x**4 + 7304632*x**2. -225155760*x Find the third derivative of -58*h*j*p**2 + 4*h*j + 810272*h*p**3 + h*p**2 + 233*h*p + j*p**5 + j*p**3 - 2*j*p**2 wrt p. 4861632*h + 60*j*p**2 + 6*j Find the second derivative of -178*t*w*y**2 + 2415238*t*w*y + 2*t*y + 67*w*y**2 - 64*y**3 wrt y. -356*t*w + 134*w - 384*y Find the second derivative of 478742294*g**5 - 314*g - 238796. 9574845880*g**3 What is the second derivative of 270262009*g**3 + 3*g - 8706837 wrt g? 1621572054*g What is the third derivative of 85046543*o**6 + 111*o**2 + 1254*o + 20? 10205585160*o**3 What is the first derivative of -3469*k**2 + 133*k + 3371832? -6938*k + 133 Find the second derivative of -407938*d**2*g**3 - 8*d**2*u**2 + 3*d*g**3*u + 213434*g**2*u**2 wrt d. -815876*g**3 - 1
{ "pile_set_name": "DM Mathematics" }
*t - 2 Let t(q) = -q + 364. Let k(s) = -s + 362. Determine 3*k(d) - 2*t(d). -d + 358 Let w(s) be the third derivative of -3*s**5/20 - s**4/8 - 5*s**3/6 - 2*s**2 + 56*s + 6. Let v(f) = -4*f**2 - f - 3. Calculate 5*v(p) - 2*w(p). -2*p**2 + p - 5 Suppose 2*p + 15*f + 10 = 10*f, 7*f = -5*p - 3. Let j(x) = 4*x**3 + 13*x + 2. Let c(s) = -9*s**3 - s**2 - 25*s - 5. Determine p*j(u) + 2*c(u). 2*u**3 - 2*u**2 + 15*u Let i(d) = 3*d**2 + d - 3. Let a(j) be the first derivative of 2*j**3/3 + j**2/2 - 4*j + 853. Calculate -3*a(w) + 4*i(w). 6*w**2 + w Let z(r) = -r**2 + r - 2. Let g(h) be the third derivative of -h**6/120 - h**5/20 + h**4/12 - 2*h**3/3 - 4960*h**2. Give 2*g(f) - 5*z(f). -2*f**3 - f**2 - f + 2 Suppose 56*b - 60*b + 44 = 0. Let h(u) = -3 + b - 7. Let f(i) = -3*i - 6. Let y(w) = -5*w - 9. Let x(d) = -8*f(d) + 5*y(d). What is 4*h(l) - x(l)? l + 1 Let j(m) = 18*m**2 + 2. Let l(r) = 7*r**2 + 13*r - 19. Let i(p) = -13*p**2 - 24*p + 35. Let g(u) = 6*i(u) + 11*l(u). Calculate -2*g(t) + j(t). 20*t**2 + 2*t Let n(g) = g - 1975. Let u(m) = m - 1989. What is -5*n(s) + 6*u(s)? s - 2059 Let t(r) = 3362*r**3 + 19*r + 4. Let f(v) = -5044*v**3 - 26*v - 6. Calculate -5*f(i) - 7*t(i). 1686*i**3 - 3*i + 2 Let x(z) be the first derivative of -55*z**3 + 12*z**2 - 3502. Let j(k) = -33*k**2 + 5*k. Calculate -24*j(q) + 5*x(q). -33*q**2 Suppose -28*t = -t + 6*t - 726. Let p(u) = 3*u**3 + 11. Let h(d) = -14. Let b(m) = 5. Let k(r) = 17*b(r) + 6*h(r). Give t*k(i) - 2*p(i). -6*i**3 Let u(l) = 40*l - 129*l + 1 - 3*l**2 - 6*l**2 + 41*l + 39*l. Suppose 2*o + 24 = -2*o. Let y(g) = -8*g**2 - 5*g + 3*g - 1 - 6*g + 2. What is o*u(t) + 7*y(t)? -2*t**2 - 2*t + 1 Let b(s) = -s**2 + 5217*s + 3. Let z(k) = -1747*k - 1. What is -2*b(y) - 7*z(y)? 2*y**2 + 1795*y + 1 Let r(v) = -504*v - 430. Let t(s) = 101*s + 93. Calculate -3*r(c) - 14*t(c). 98*c - 12 Let a(o) = 7*o**3 - 14*o**2 + 3*o - 4. Let z(r) = -r**3 + r**2 - r + 1. Suppose -11*h + 91991 = 92035. What is h*z(f) - a(f)? -3*f**3 + 10*f**2 + f Let m(a) = 110*a**3 - 6*a**2 + 7*a - 8. Let t(p) = 330*p**3 - 17*p**2 + 19*p - 22. Give 8*m(v) - 3*t(v). -110*v**3 + 3*v**2 - v + 2 Let o(x) = -1044*x**2 + 3*x - 6. Let s(q) = 3133*q**2 - 11*q + 19. Give 13*o(h) + 4*s(h). -1040*h**2 - 5*h - 2 Let b(m) = 4483*m - 68. Let q(p) = -44832*p + 714. Determine -21*b(r) - 2*q(r). -4479*r Let o(a) = -3*a + 3*a - 2794*a**2 + 2795*a**2. Let c(j) = -j**3 + 4*j**2. Let p(g) = 4*g + 45. Let s be p(-11). Calculate s*c(d) - 4*o(d). -d**3 Let r(q) = -18*q + 2. Let o(l) = -l. Let a = -11117 - -11115. What is a*o(d) + r(d)? -16*d + 2 Let i(t) = 5*t + 7. Let o(v) = 7*v + 11. Suppose -6*k = -42*k - 38*k + 592. Give k*i(z) - 5*o(z). 5*z + 1 Let k(v) be the second derivative of -v**3/2 - 2*v**2 - 16*v + 39. Let r = -18 + 11. Let n(p) = 4*p + 6. Calculate r*k(c) - 5*n(c). c - 2 Let b(g) = -g**2 - 8*g + 7. Let y(h) = 4*h**2 + 4*h - 9. Let j(z) = 9*z - 26*z**2 - 17 + 9*z**2 + 24*z**2. Let n(x) = 3*j(x) - 5*y(x). What is -4*b(r) - 5*n(r)? -r**2 - 3*r + 2 Let s = -130 + 131. Let w be -5 + (5/1 - s). Let z(h) = 6*h**3 + 3*h - 3. Let q(o) = -o**3 - o + 1. Determine w*z(j) - 3*q(j). -3*j**3 Let p(s) = -11*s**3 + 4477*s**2 - 17*s + 402. Let r(v) = -4*v**3 + 1493*v**2 - 6*v + 142. What is 6*p(a) - 17*r(a)? 2*a**3 + 1481*a**2 - 2 Let o(f) = 2*f**2. Let x(p) = -2*p**2 - p - 1. Let j be x(-1). Let d = -14612 + 14606. Let w(y) = -7*y**2. What is d*o(q) + j*w(q)? 2*q**2 Let b(w) = -80*w**2 - 2*w - 9. Let i(s) = 38*s**2 + s + 4. What is 4*b(p) + 7*i(p)? -54*p**2 - p - 8 Suppose -3*r + 36 - 24 = 0. Let l(b) = -b**2 + 6*b + 2. Let a(x) be the third derivative of x**5/60 - 5*x**4/24 - x**3/6 - 194*x**2. Calculate r*l(o) + 5*a(o). o**2 - o + 3 Let p(l) = -13*l**3 - 13*l**2 - 9*l + 37. Suppose -5*g - 67*g = 21*g + 837. Let k(m) = -3*m**3 - 3*m**2 - 2*m + 9. What is g*k(j) + 2*p(j)? j**3 + j**2 - 7 Let q(i) = 3*i**3 + 2*i**2 + i. Let h(f) = -17*f**3 - 11*f**2 - 4*f - 769. What is h(j) + 5*q(j)? -2*j**3 - j**2 + j - 769 Let h(c) = 15*c**2 - 7*c - 6. Let z(a) = -5*a**2 + 2*a + 2. Let l be -26*(-15)/(-30) - 40/(-2). Determine l*z(d) + 2*h(d). -5*d**2 + 2 Let j(h) = 7*h**2 - 7*h + 5. Let w(q) = q**3 - 7*q**2 - 1. Let y be w(7). Let u = y - -1. Let b(o) = o**2 + 65*o + u*o**2 + 1 - 66*o. Give 6*b(z) - j(z). -z**2 + z + 1 Let n(c) = 64*c**3 - 9*c**2 + 396. Let y(m) = 16*m**3 - 2*m**2 + 79. What is 3*n(l) - 14*y(l)? -32*l**3 + l**2 + 82 Let j(h) = -75*h**3 + 5*h + 3. Let o(g) = 226*g**3 - 17*g - 10. Determine -7*j(z) - 2*o(z). 73*z**3 - z - 1 Let k(i) = 5*i**3 - 16*i**2 - 6*i + 11. Let v(t) = -13*t**3 + 45*t**2 + 17*t - 34. What is -17*k(f) - 6*v(f)? -7*f**3 + 2*f**2 + 17 Let j(q) = -q**3 + 15*q**2 + 21*q - 9. Let b(h) = -7*h**2 - 10*h + 4. Give -13*b(k) - 6*j(k). 6*k**3 + k**2 + 4*k + 2 Let t(n) = -10*n - 2. Let a(q) = 220*q + 45. Let l be 30/((8 - -3)/(-33)). What is l*t(i) - 4*a(i)? 20*i Let r(p) = -4251*p - 2. Let q(n) = 8503*n + 5. Determine 2*q(z) + 5*r(z). -4249*z Let k(w) = -w**2 + 5. Let c(x) = 3*x**2 + x - 11. Let s(h) = 126*h + 507. Let v be s(-4). Determine v*c(p) + 7*k(p). 2*p**2 + 3*p + 2 Let p(b) be the first derivative of b**4/4 - 2*b**3/3 - b**2 - 14. Let f(c) = 4*c**3 - 7*c**2 - 7*c. Suppose -4*v - 48 = -32. What is v*f(t) + 14*p(t)? -2*t**3 Let j(z) = 27*z - 5. Let b(t) be the first derivative of 189*t**2/2 - 36*t + 835. Calculate 5*b(p) - 36*j(p). -27*p Let y(i) = 17*i - 198. Let r(h) = -15*h + 176. Let x(n) = 9*r(n) + 8*y(n). Let k(f) = 11*f**2 + 2*f - 2. Calculate -k(s) + 3*x(s). -11*s**2 + s + 2 Let z(i) = i**3 - 2*i**2 + 8*i - 175. Let p(v) = 10*v**3 - 21*v**2 + 81*v - 1750. Determine 2*p(a) - 21*z(a). -a**3 - 6*a + 175 Let v(a) = 6*a**2 - 12*a + 5. Let k(y) = -7*y**2 + 4*y - 4. Calculate 5*k(c) + 4*v(c). -11*c**2 - 28*c Let r(c) = -5*c + 24. Let p(h) = -20*h + 10*h + 8*h + 8. Let f be (-18)/243 + (8 - (-747)/243). Calculate f*p(u) - 4*r(u). -2*u - 8 Let n(f) = -9*f - 13. Suppose 0 = -23*w + 33*w + 30. Let x(m) = -6*m**3 + 2*m**2 - 2*m + 1. Let t be x(1). Let r(l) = 5*l + 7. Determine t*r(k) + w*n(k). 2*k + 4 Let g(n) = 90*n - 108. Let k(p) = -30*p + 42. Give 3*g(t) + 8*k(t). 30*t + 12 Let g(x) = -2*x. Let d(z) = 8*z + 1315. Calculate d(t) + 5*g(t). -2*t + 1315 Let c(t) = 15*t**3 - 2*t**2 - 36*t + 9. Let b(p) = -p**3 + 4*p - 1. Let f(n) = -10*b(n) - c(n). Let d(s) = -s**3 + s**2. What is -4*d(y) + f(y)? -y**3 - 2*y**2 - 4*y + 1 Suppose 0 = 5*m + 5*v, 48*v = 5*m + 45*v + 40. Let z(r) = -11*r**3 + 7*r**2 + 3*r - 7. Let q(x) = 7*x**3 - 5*x**2 - 2*x + 5. Give m*z(g) - 7*q(g). 6*g**3 - g Let m(x) = -17*x**2 - 2*x - 17. Let d(o) = -12*o**2 - 2*o - 12. Let h(f) = 7*d(f) - 5*m(f). Let t(l) = 2*l**2 - 9*l + 1. Calculate -5*h(b) + 2*t(b). -b**2 + 2*b - 3 Let y(q) = -27*q. Let i(n) = -14*n. Let f be 98/(-245) + 5236/(-10). Let d = f - -519. What is d*i(o) + 3*y(o)? -11*o Let q(m) be the first derivative of 9*m**2/2 + 3*m - 1627. Let x(b) = -b. Give q(y) + 2*x(y). 7*y + 3 Let j(c) = 11976*c. Let b(k) = 81*k. Give 6*b(l) + j(l). 12462*l Let h(d) = 23*d**2 - d. Let c(v) = -2508*v**2 - 66*v. Calculate 2*c(w) - 132*h(w). -8052*w**2 Let h(g) = -g + 10. Let x(z) = -461*z + 51. Calculate -5*h(v) + x(v). -456*v + 1 Let t(l) = -4*l. Let p(x) = 11*x - 196. What is -p(d) - 3*t(d)? d + 196 Let z(s) = -783*s**2 - 6*s + 2. Let d(y) = -2145420*y**2 - 16443*y + 5481. Let n(r) = 6*d(r) - 16443*z(r). Let o(m) = -25*m**2. Calculate -2*n(q) - 189*o(q). 27*q**2 Let h(y) = 5417*y - 2491*y - 2716*y. Let w(l) = -19*l. Determine 5*h(s) + 56*w(s). -14*s Let w(j) = -53*j**2 + 3*j - 14. Let z(x) = 114*x - 6253. Let q be z(55). Let k(i) = -18*i**2 + i - 5. What is q*k(f) - 6*w(f)? 12*f**2 - f - 1 Let a(s) = 15*s**2 + 91*s. Let u(k) = -k**2 + k. Give a(n) + 2*u(n). 13*n**2 + 93*n Let w(r) = -13*r - 128. Let l(s) = -34*s - 385. Determine 3*l(b) - 8*w(b). 2*b - 131 Let h(a) = 211*a + 219*a + 226*a + 1 - 878*a + 221*a. Let g(c) = -3*c**2 - 7*c - 7. What is -g(s) + 6*h(s)? 3*s**2 + s + 13 Let h(x) = 4*x**2 + 3*x + 2. Let i(t) = -362*t - 3255. Let g be i(-9). Let r(w) = -w**2 - 1. Determine g*r(v) + h(v). v**2 + 3*v - 1 Let v = -15701 - -15704. Let k(h) = 13*h + 5. Let d(t) = 7*t + 3. Calculate v*k(p) - 5*d(p). 4*p Let o(q) = q - 3. Let c(j) = 2*j - 8. Let d(x) = x**2. Let n(m) = -3*m**2 + 24*m + 83. Let p(l) =
{ "pile_set_name": "DM Mathematics" }
, -891, 12, -2, -3? 12 What is the third biggest value in -5, 0, -0.2, -13, 763? -0.2 Which is the third biggest value? (a) 24 (b) -1/2 (c) 2/3 (d) 0 (e) -1/8 d Which is the smallest value? (a) 0.4 (b) 4 (c) 10064.1 (d) -1/8 d Which is the second smallest value? (a) 5 (b) -3 (c) -2 (d) -6.2 (e) -5 e What is the second smallest value in -5, 0, 4, -15825/43? -5 What is the fifth biggest value in 0.06, -2/3, 1.6, 0, -2/15? -2/3 What is the third biggest value in -10, 0, -0.4, 52, -4, -0.12? -0.12 What is the fifth smallest value in 6, -3, -4/7, 0.05, -0.1, -2/9? 0.05 Which is the second biggest value? (a) 2/17 (b) -501 (c) -2/7 c Which is the third smallest value? (a) -2/33 (b) 0.3 (c) 0 (d) -1/70 c Which is the second biggest value? (a) -82 (b) -1.5 (c) -125 a Which is the fourth biggest value? (a) 9/370 (b) -0.11 (c) -2 (d) -4 d What is the second biggest value in -5, -6.3, 2, -1/29, 0.1, -0.5? 0.1 Which is the third smallest value? (a) 0.1 (b) -9239/3 (c) -5 (d) -0.2 d What is the biggest value in -1, 0.122, -1/10, 10, -1/3? 10 Which is the third smallest value? (a) -1/9 (b) 0.089 (c) 5 (d) 0 (e) -3 (f) -6/7 a Which is the fourth biggest value? (a) -4/9 (b) -2 (c) 1/56 (d) -57 (e) 2 b Which is the third biggest value? (a) 37 (b) 18/83 (c) 4 b What is the third smallest value in -24, -1, 177/2? 177/2 Which is the third biggest value? (a) 6454 (b) -3/4 (c) -0.015 b Which is the fourth biggest value? (a) 4.3 (b) 139 (c) -1 (d) -4 (e) -0.3 c Which is the biggest value? (a) -1 (b) 2 (c) 0 (d) -297 b What is the sixth biggest value in 1, 1.6, 5, 1043, -1, -7? -7 What is the smallest value in -1391, 2.8, -0.4? -1391 Which is the second biggest value? (a) -11 (b) 3022 (c) -3 c What is the third biggest value in 4/3, -2/13, 10/3077? -2/13 Which is the fourth smallest value? (a) 0.2 (b) -2/23 (c) -1 (d) 1.37 (e) 0.4 (f) 1.2 e Which is the fourth smallest value? (a) 4/7 (b) 0.1 (c) -5 (d) 2/17 a Which is the third biggest value? (a) -2 (b) -383 (c) -22 b Which is the third biggest value? (a) -2 (b) -2/3393 (c) -5 c Which is the fourth smallest value? (a) -3/7 (b) 14 (c) -0.4 (d) -2/111 (e) -0.9 (f) -4/3 c What is the smallest value in 0.11, 5, -4, 48? -4 Which is the third smallest value? (a) 123 (b) -3 (c) -81 (d) 0.1 d Which is the third smallest value? (a) -3/2 (b) -13 (c) 0.1 (d) -0.4 (e) 5 d What is the fourth smallest value in 1/199, 3, 2/7, 8/3? 3 What is the biggest value in 10, -4, -1.7, -1, -2.9, -0.1? 10 Which is the sixth smallest value? (a) -0.2 (b) 2 (c) -0.05 (d) 0.2 (e) -39 (f) 1/3 b What is the second smallest value in 50, -3.4, -0.8, 1? -0.8 What is the fifth biggest value in 0, -1, 11/4, -1/2, 0.4, 5? -1/2 What is the third biggest value in 0.2, -1, -6/17, 11/4, -1/5, 2? 0.2 What is the smallest value in 2, -7, -3, -140? -140 Which is the biggest value? (a) 5 (b) 4.7 (c) 350 (d) 5/2 c Which is the fourth biggest value? (a) -2 (b) -1/3 (c) 1/3 (d) 717/2 a Which is the second biggest value? (a) -1/6 (b) 0.3 (c) -8.2 (d) 16 b What is the third biggest value in -1, -3, 224, -4/13, -0.4? -0.4 Which is the second biggest value? (a) -485 (b) -661 (c) -5 a Which is the biggest value? (a) -2/19 (b) 0.17 (c) -0.3 (d) -4 (e) 0.5 e What is the third smallest value in -1/10, -0.5, -2/21, -0.137, 2? -1/10 Which is the second smallest value? (a) 5 (b) 4 (c) 69 (d) -12/13 (e) -0.4 e Which is the smallest value? (a) 0.1 (b) 1.43 (c) -3/8 c What is the biggest value in -8, -0.3, 90, 53? 90 What is the third biggest value in 8, 1/4, -0.2, -0.0551? -0.0551 What is the second biggest value in 73, -10, 7? 7 What is the fourth smallest value in -26, -1/212, 2, 0.2, -0.2? 0.2 Which is the third smallest value? (a) 5 (b) -2/3 (c) 0.046 (d) 1/5 (e) -19 c What is the second biggest value in -13, -8, -2, -4, -3? -3 Which is the fourth smallest value? (a) 1/2 (b) 2 (c) 6.5 (d) 3 (e) 28 c What is the third smallest value in -2/9, -2, -52073? -2/9 Which is the fourth smallest value? (a) 1/61 (b) 1/5 (c) 2/125 (d) -127 b What is the fifth smallest value in 2/9, -177, -0.3, 2/15, -6? 2/9 Which is the third smallest value? (a) -6 (b) -38 (c) 0.5 (d) 1 (e) -4 e What is the sixth smallest value in 0, 3, 5, 1/9, -2.07, -10? 5 What is the smallest value in -2, -1/20, 8.1, -0.3, 2.5? -2 Which is the smallest value? (a) 0.1 (b) 0 (c) 3 (d) -9323 d What is the fifth biggest value in 0.15, 1/4, 4, 2, -1, -11/7? -1 What is the fifth biggest value in 18, 1, 0.2, -3, 1/9? -3 Which is the third smallest value? (a) -1086 (b) -1/2 (c) 32 c What is the fourth biggest value in 10/19, 1, -120, 3, 10? 10/19 What is the third smallest value in 200, -2/11, 1, -0.5? 1 Which is the biggest value? (a) 1 (b) -0.5 (c) 2 (d) -5 (e) -436 c Which is the second smallest value? (a) -0.36 (b) -0.54 (c) 4/5 (d) -0.8 (e) -3 (f) -0.5 d Which is the smallest value? (a) 4 (b) 13 (c) 2 (d) -2 (e) 1 (f) 3703 d Which is the biggest value? (a) -8 (b) -81/7 (c) -0.13 (d) 5 (e) -1/4 d What is the second smallest value in -3/7, 5741, -9? -3/7 Which is the smallest value? (a) 2/19 (b) 176/3 (c) 852 (d) -2 d What is the biggest value in 1080, 79, -5, -1, 4? 1080 What is the second smallest value in -5/3, -0.06, 1/24, -5, -12/7? -12/7 What is the fifth biggest value in -0.3, -3, 1.5, 0.5, -2/5, -0.094? -2/5 What is the fourth smallest value in 0.2, -1.1, -3, -0.03? 0.2 Which is the second biggest value? (a) 0.2 (b) 1/2 (c) -7 (d) 117 b Which is the third biggest value? (a) 5 (b) -63/46 (c) -3 c Which is the biggest value? (a) -3 (b) -1/7 (c) 1/2 (d) -0.12 (e) -2 c Which is the third biggest value? (a) -1/3 (b) -5 (c) 4499 b Which is the sixth smallest value? (a) 0.3 (b) 1 (c) -0.4 (d) 1/4 (e) -0.103 (f) -2 b What is the second smallest value in 32, -170, 2, 0.05? 0.05 Which is the third biggest value? (a) 1122964 (b) 4 (c) -0.2 c Which is the second biggest value? (a) 31109 (b) -4 (c) 5 (d) -7 (e) 0.1 c What is the second biggest value in 0, 9/7, 1, 2, 16? 2 What is the third biggest value in -1, 206, 3/62? -1 What is the third smallest value in -4.19, 20/7, -3/5? 20/7 Which is the fourth biggest value? (a) 0.53 (b) 4 (c) -111 (d) 3/5 (e) -5 e Which is the third smallest value? (a) 386 (b) 65 (c) 1 a What is the fourth biggest value in -7/6, -3/2, 239, 4/3? -3/2 Which is the second smallest value? (a) 1 (b) -17 (c) -5 (d) -0.3 (e) -7 (f) -0.05 e What is the second biggest value in -0.5, -1595.3, -2? -2 Which is the third smallest value? (a) 0 (b) 5 (c) 33123 c Which is the fifth smallest value? (a) 0.2 (b) -7/4 (c) -6 (d) -475 (e) -0.3 (f) 2 a Which is the second biggest value? (a) -5 (b) 0 (c) 2 (d) -7.7 (e) 39 c What is the second smallest value in 5, 4499, 66? 66 Which is the second smallest value? (a) -0.02 (b) -0.11 (c) 2/7 (d) 3/5 (e) -3 (f) -5 e Which is the third smallest value? (a) 3 (b) 221 (c) 206 (d) -1/2 (e) 2/5 a What is the biggest value in 0.08, 11/13, -1/4, 2, 2/17, 4? 4 Which is the third biggest value? (a) -214 (b) -4 (c) 513/4 a Which is the third biggest value? (a) -241 (b) -3/4 (c) -1/3 a Which is the biggest value? (a) 2/3 (b) 3 (c) 581 (d) -0.2 c Which is the fifth smallest value? (a) 253 (b) 0.3 (c) -1 (d) -10/7 (e) -8 (f) -2 b Which is the sixth smallest value? (a) 3.3 (b) -7 (c) 0.4 (d) -0.5 (e) -2/9 (f) -3 a Which is the third biggest value? (a) 6 (b) -6 (c) 77 (d) -0.1 (e) -5 d What is the fifth biggest value in 0.3, 3/25, 0.4, -20, 19, -2? -2 What is the biggest value in 0, 0.151, -1/34, -0.4? 0.151 Which is the fourth smallest value? (a) 4 (b) -723 (c) -1/6 (d) -0.3 (e) -0.5 (f) 4/11 c Which is the third biggest value? (a) -0.3 (b) -2/19 (c) 2166291 a Which is the third smallest value? (a) 1/8 (b) 2/25 (c) -7 (d) -3/2 b Which is the fourth biggest value? (a) 3 (b) -5 (c) -4/9 (d) -0.09 (e) -74 b What is the biggest value in 0.3, -469, 66/31? 66/31 What is the fourth biggest value in 13, -11, -2/51, -6, -2/3? -6 What is the third biggest value in 1/4, -0.06, 6/11, -3/16519? -3/16519 Which is th
{ "pile_set_name": "DM Mathematics" }
2 - 13) to m*d + y and give m. 98 Rearrange 2*o**3 + 11*o**3 + 60*o**2 - 60*o**2 - 6 - 6*o**3 to the form y*o**3 + k*o + l + w*o**2 and give y. 7 Rearrange -2*z**2 + 106*z**3 + 5*z - 5*z - 66*z**3 to the form l + y*z + q*z**2 + w*z**3 and give q. -2 Express 1 - 29*n**2 + 17*n**2 - 7*n + 11*n**2 in the form r*n + z*n**2 + w and give r. -7 Rearrange -3*h**4 + 8 + 1621*h**2 + h**3 + 0*h**3 - 1619*h**2 + 0*h + 0*h to q*h**4 + n*h + y + g*h**3 + z*h**2 and give z. 2 Express 4*j**3 + 82*j - 4 - 84*j + 2 as x*j**3 + g*j**2 + n*j + v and give x. 4 Rearrange (0 + 0 + 2*z)*(-4 - 4 + 6) + (3 - 6 - 2)*(-54*z + 166 - 166) to s + f*z and give f. 266 Express (-4*b - 9*b + b)*((-b - 5*b + 5*b)*(b - b - b) + 1 - 1 + 2*b**2) as i + t*b**2 + l*b**3 + a*b and give i. 0 Rearrange 167*h**2 - 331*h**2 + 24 - 23 + 166*h**2 + 205*h to the form f*h + w + p*h**2 and give w. 1 Express -27*l + 2 + 31*l + 0 + (0 - 1 - 4*l + 2*l)*(4 - 4 - 7) as s + r*l and give s. 9 Express n - 2 - 23*n**2 + 26*n**2 - n**2 + 75*n**3 + 0*n in the form v + r*n**2 + x*n**3 + j*n and give r. 2 Rearrange -128 + 129 - 6*y**2 + 256 + 14*y**2 - 7*y**2 to the form p + q*y**2 + w*y and give q. 1 Rearrange (2*b**2 + 0*b**2 - 6*b**2)*(-3 + 1 + 3)*(46*b - 44*b - 38*b**2 + 7*b**2) to u + v*b**2 + z*b + s*b**3 + d*b**4 and give d. 124 Rearrange (331*v - 571*v + 523*v)*(-v + 2 - 2)*(-v**2 - v**2 - v**2) to q + s*v**3 + z*v**4 + l*v**2 + d*v and give z. 849 Express (15 - 11 + 14)*(5*r + 3*r + 35*r)*(-2 + 0 - 3) in the form w*r + l and give w. -3870 Express d**2 + 0*d + 0*d**2 + 2 + d + (2 - 16 - 1)*(-11 + 11 - 28*d**2) as x*d + t*d**2 + u and give u. 2 Express (-2 + 0 + 0)*(-2*j**3 + 4*j**3 + 0*j**3) - j**3 + 13*j**3 - 50*j**3 as p*j**3 + s + w*j + o*j**2 and give p. -42 Rearrange -138*g + 73*g + 68*g**3 + 58*g to the form k + l*g**2 + j*g**3 + w*g and give w. -7 Express (5 + 6 + 11)*(-5*n + n + 2*n)*(9 - 1 - 1)*(3 + 2 - 7) in the form x*n + k and give k. 0 Rearrange 14*h**2 + 63*h**3 - 5*h**2 - h - 64*h**3 + 2*h**4 to the form l*h**4 + x*h**2 + q + g*h**3 + d*h and give l. 2 Rearrange (1 - 1 + q)*(5 - 3 - 1) + 55*q - 119*q + 20*q + 3*q - 4*q + 7*q to the form p + c*q and give c. -37 Express 6 - 15 - 972*t + 982*t as b + l*t and give l. 10 Rearrange 221*l + 13*l**2 - 3*l**2 + l**3 - 221*l - 6 to z + t*l + n*l**3 + r*l**2 and give r. 10 Rearrange -423*h - 137046 + 137046 to the form w*h + z and give w. -423 Rearrange 2*r**2 + 24508 + 19*r**3 - 24508 + 6*r to the form s + a*r**3 + y*r**2 + n*r and give n. 6 Rearrange (j**2 - j**3 - j**2)*((0 + 6 - 4)*(7 - 2*j - 7) + (-j - 1 + 1)*(2 + 0 - 4)) to t + d*j**4 + g*j**3 + u*j + x*j**2 and give d. 2 Express -106*h**4 - 2 - h**3 + 196*h**4 - 51*h**4 as l + g*h**4 + b*h**2 + p*h + m*h**3 and give l. -2 Rearrange -q**3 - 4*q - 460*q**2 - 47 + 461*q**2 - 3*q**3 + 0*q + 5*q to the form y*q**2 + h*q**3 + l*q + r and give r. -47 Express (-2 - 3*g + 2)*(5*g - 3 + 3)*(0 - 3 + 1)*(-g + 0*g - g) as l*g + t*g**3 + y*g**2 + s and give t. -60 Rearrange (-6*c**2 + c**2 + 2*c**2)*(0 - 1 + 2)*(-102*c + 20*c + 15*c) to q*c**2 + f + m*c**3 + a*c and give q. 0 Rearrange -4*z**2 + 9*z**2 - z**3 + 0*z**3 - 4 + 4 - 52*z to the form n*z**2 + d*z + h + w*z**3 and give w. -1 Rearrange -4*k - 151*k**2 + 6*k + 6*k + 36*k**2 + k to b*k + d*k**2 + y and give b. 9 Express 1 - 29*t**2 - 10*t**2 - 7*t**2 - 7*t**2 + 79*t**2 + 9*t**3 in the form i*t**2 + o*t + x + m*t**3 and give i. 26 Rearrange 0*s + 0*s - 3*s**2 + (202*s + 216*s - 395*s)*(2*s - s - 3*s) to l*s**2 + m + y*s and give l. -49 Rearrange ((3 + 3 - 5)*(-1 - 5 + 2) - 1 - 1 + 3)*(-1 + 2 + 0)*(2*n - 50 + 50 + (4*n - 3*n + 0*n)*(-5 - 1 + 5)) to the form i + y*n and give y. -3 Rearrange (-h + h - 2*h - 8 + 8 - 2*h + (1 - 2 + 0)*(-3 - h + 3))*(-4*h + 5*h - 3*h)*(-4 + 1 + 7) to the form o*h + d + m*h**2 and give m. 24 Rearrange (-2*y + 1 - 1)*(-6*y**2 + 8*y**2 + 2 - 1) + (3*y**2 + 0*y**2 - y**2)*(-10*y - 6 + 6) to the form t*y**3 + g*y**2 + r*y + x and give t. -24 Express 133*x - 93 - 55 + 153 in the form w + p*x and give p. 133 Express 4 + 2621*c - 41*c**2 + c**3 - 4 - 2622*c in the form h*c + r*c**2 + p*c**3 + j and give h. -1 Express -4*l**4 - 7 + 3 + 3*l**3 + l + 3 + 2 in the form b + i*l + d*l**2 + o*l**4 + n*l**3 and give n. 3 Rearrange (-3*p**3 - 7*p**3 + 124*p**3)*(-9*p - p - 4*p) to the form b*p**2 + z*p + a*p**4 + m + x*p**3 and give a. -1596 Express (-2*b**2 + b**2 - b**2)*(833*b**2 - 61*b**2 + 62*b**2) in the form u + q*b**4 + i*b**2 + k*b + r*b**3 and give q. -1668 Rearrange 5*x - 2*x + 6*x + (0*x - 2*x + 0*x)*(0 + 5 + 0 + 1 + 2 - 4 + (4 - 1 - 2)*(-5 + 1 + 2)) + (-4 + 4 - 4)*(2*x - 2*x + x) to u*x + g and give u. 1 Express -213*j + 2 + 111*j - 4 - 8*j in the form v*j + n and give v. -110 Rearrange -8*j + 2*j + 0*j + 0*j - 2*j + 3*j + (3*j - 4*j + 3*j)*(0 + 2 + 0) - j + j - 2*j + 2 + 2*j - 2 + (2 + 0 + 2)*(0*j + 3*j - 2*j) to f*j + k and give f. 3 Express (-d - 20*d + 8*d + (-3*d + 4*d + 0*d)*(1 + 2 - 2) - 3*d + d + d)*(1 + 3 - 5) in the form y*d + c and give y. 13 Express -8*h**3 - 14*h**4 - 2 - 3*h**3 - 2*h**4 + 12*h**4 as d*h**2 + o*h**4 + p*h**3 + w + g*h and give w. -2 Rearrange (-20*f**2 - f - 19*f**2 + 21*f**2)*(-2*f + 1 - 1) + 0 - 5*f**3 + 3*f**3 + 2 to g*f**3 + c + p*f**2 + b*f and give p. 2 Express (5 + 3 + 4)*(-4*d + 5*d + d)*(0*d**3 - 5*d**3 - 2*d**3) as f*d + r*d**2 + c*d**4 + s*d**3 + q and give c. -168 Rearrange 1 + q**2 - 106*q + 117*q - 10*q**2 to the form b + j*q + u*q**2 and give b. 1 Rearrange (0*x - x + 3*x + (-2*x + 2*x - 2*x)*(-1 + 0 + 0) + 2*x + x - x)*(9 + 8 - 6) to the form c*x + f and give f. 0 Rearrange 245*f + 0 - 244*f + f**4 + 0 + 1 + f**3 to the form l*f**3 + q*f + u + n*f**4 + p*f**2 and give n. 1 Express 130*r**2 - 16*r - 23*r - 2*r**3 + 37*r + 0*r**3 as f*r**2 + t*r + c + v*r**3 and give v. -2 Rearrange -2*a**2 - 11534*a + 4*a**3 + 11538*a - a**3 to m*a + d*a**2 + k + f*a**3 and give m. 4 Rearrange (-3*m**3 - 9*m**3 - 6*m**3)*(3*m - 4*m - 2*m) + 3 + m**4 - 3 to w*m**2 + y*m + k*m**4 + v + i*m**3 and give v. 0 Express 2*z**2 + 6 + 1083*z - 1054*z + 2*z**3 - 6 in the form o*z + p*z**2 + h + n*z**3 and give n. 2 Express 14*r**2 - 106*r**2 - 5162*r**3 + 0 + 5159*r**3 - 1 in the form t*r**3 + o*r + x*r**2 + w and give w. -1 Rearrange (-87 + 285 - 85 + (3 + 1 - 5)*(-3 + 2 - 1) + 7 - 1 - 2)*(4*j - 4*j + j) to y + o*j and give o. 119 Rearrange 513*a - 8 - 37 + 45 to o*a + v and give o. 513 Rearrange -4 + 0 + 4 - 275*u**2 + 333*u**2 to l*u + f + q*u**2 and give q. 58 Express -3*x**4 + x**4 + 5*x**4 + (0*x**2 - x**2 + 3*x**2)*(-1 + 1 + x**2) + 98*x**4 + 74*x**4 - 116*x**4 as s + y*x**4 + i*x**2 + k*x**3 + t*x and give y. 61 Express 103*z - 4*z**2 + z**2 + 40 - 40 as l*z + q*z**2 + x and give l. 103 Rearrange 19 - 5 - 5 - 9 + 783*c to i + l*c and give l. 783 Express -3*p + 32 - 68 + 5*p + 34 - 3*p in the form d*p + a and give d. -1 Express -78463 - 18*m + 78463 as z + c*m and give c. -18 Express l**2 - 101423*l + 6 - 26*l**3 + 101423*l as m + p*l**3 + i*l + t*l**2 and give p. -26 Express 2*p**2 + 48 - 48 + 29*p**3 - 24*p - 59*p + 2*p**4 - 36*p**3 in the form z*p**2 + i + v*p + m*p**3 + h*p**4 and give h. 2 Express 125*f + 10 + 8 + 7 - 28 + 4 in the form l + i*f and give i. 125 Rearrange -j - j**3 - 1185*j**4 + j**2 + 2 + 1177*j**4 + 3*j**3 to l + q*j**4 + p*j**3 + b*j + w*j**2 and give q. -8 Express -11 + 302*f - 346*f - 3 - 9 as u + c*f and give c. -44 Rearrange (0*l + 2*l - 3*l)*(-1 + 1 + 1)*((0 + 2 - 4)*(-33 - 9 + 11) + (-5 + 5 - 1)*(1 - 1 + 1))*(1 - 9 + 1) to the form f + y*l and give y. 427 Rearrange -155 + 80 + 497*v - 1743*v + 75 to the form s + l*v and give l. -1246 Rearrange -4 - 1598*l - 5*l**2 + 8*l**4 + 1597*l + 2*l**2 + 2*l**2 - 2*l**3 to d*l**4 + i*l**3 + f*l**2 + j + n*l and give n. -1 Rearrange 3*o**4 + 2*o**2 + 100 + o + 0*o**2 + 0*o - 4*o**4 + 4*o**4 to the form h*o**3 + u + s*o + j*o**4 + a*o**2 and give j. 3 Rearrange -5787*d + 12068*d - 5754*d + d + 0*d + d + (-3 - 2 + 6)*(0*d + 0*d - 2*d) + 0*d + 0*d - d to the form z + g*d and give g. 526 Rearrange -2*l**3 + 167 - 38606*l + 38604*l - 531 + 4*l**3 to the form z*l + w*l**2 + h*l**3 + g and give g. -364 Express -48*n**3 + 12*n - 54*n**3 + n**2 + 155*n**3 - 52*n**3 as w*n + q + o*n**2 + r*n**3 and give o. 1 Express (8 + 206*q + 2*q**2 -
{ "pile_set_name": "DM Mathematics" }
15342 and -0.1? 15342.1 What is the distance between -7 and -2057.7? 2050.7 What is 0.2 plus 10236? 10236.2 What is 325355 plus -5? 325350 Total of -0.4 and -1168. -1168.4 -242 - -0.3 -241.7 Total of 0.78 and 6. 6.78 Work out -289 + -3. -292 392063 + 5 392068 What is -1189 take away 0.272? -1189.272 What is -0.592 - 0.1? -0.692 Put together -0.0691 and 787. 786.9309 Calculate 0 + -121294. -121294 -0.09 + -4.26 -4.35 Work out 4485010 - 3. 4485007 0+76.8 76.8 Add 0.5 and 1502. 1502.5 Work out 2277 + 103. 2380 What is 1.97 take away 21.1? -19.13 Work out 1592 + 0. 1592 -0.3 - -269882.5 269882.2 -1.4 + -723 -724.4 What is -0.15 less than -3.246? -3.096 What is the difference between 0.05211 and -0.061? 0.11311 167.8+-0.1 167.7 Add -41 and -9.15. -50.15 Add -371 and 0.079. -370.921 -21.6 - -3.3 -18.3 1.9 - -80146 80147.9 Calculate 738 - 2. 736 Put together 6.4687 and -0.4. 6.0687 Calculate 3 - -384.3114. 387.3114 Sum 0.16 and -470.7. -470.54 What is 0.707 take away 1.2? -0.493 What is -19311 minus -2.5? -19308.5 Put together -16 and 2621. 2605 Work out 16 + -15.04. 0.96 What is 0 take away -3.1316? 3.1316 Add together -460 and 0.05. -459.95 Total of 5 and 2184. 2189 What is -0.68 less than -12? -11.32 What is -0.3 take away -22975? 22974.7 What is -1.007 less than -4? -2.993 -0.818181 - -0.1 -0.718181 What is the difference between 13543.4 and 1? 13542.4 Sum 5 and 0.04562. 5.04562 Calculate -5 - 0.0807. -5.0807 -0.3+0.558 0.258 What is -7036 less than 0.05? 7036.05 Sum -0.234 and -0.0351. -0.2691 Work out 39268 + 0.06. 39268.06 Put together 2.4801 and 51. 53.4801 Add -0.5 and -3.464105. -3.964105 Work out -0.7 - -0.02454. -0.67546 What is -0.0171 take away -3? 2.9829 Calculate -2.9 - -0.145. -2.755 Put together 6.2 and 17. 23.2 Put together -0.3 and -36838. -36838.3 Work out -59 - 39. -98 Subtract -15424 from -4. 15420 Work out 4305 + 1038. 5343 Put together -168 and 0.6443. -167.3557 Calculate -0.2279 - -4. 3.7721 1.215+88.4 89.615 What is -5 take away 279? -284 Work out 0.1 + -0.068747. 0.031253 What is 1086 take away -3? 1089 Add 46422 and 0.5. 46422.5 What is 0.5 less than 188.7? 188.2 Add -3 and -2902. -2905 Calculate 15.99 + 132.3. 148.29 What is 12915 take away -0.1? 12915.1 Work out -3 - 1285707. -1285710 -3807 - -31 -3776 What is the distance between 16 and -1.619? 17.619 What is -5215.29 plus 0.5? -5214.79 What is the distance between 37.02 and -25? 62.02 What is -0.2 plus -737679? -737679.2 Calculate 0.187 - -4. 4.187 What is -5 minus 1664? -1669 5232522 - -0.1 5232522.1 Sum -2 and -0.0442. -2.0442 Subtract 0.2 from -28676. -28676.2 11.8+-0.0869 11.7131 Total of -18.56 and -0.05. -18.61 Add together 257.804 and 1. 258.804 What is -2702 take away -0.233? -2701.767 What is -3 - -197515? 197512 Sum 3 and -113740. -113737 4 + -2.02144 1.97856 Calculate -1650 - 0.57. -1650.57 What is 1 - -516148? 516149 What is the distance between 866 and 1062.8? 196.8 -10 + 433 423 What is -17829 + 4? -17825 Add 12479 and 1.8. 12480.8 What is -1.944 - 2310? -2311.944 Total of 0.2 and -84501. -84500.8 Subtract 239501 from 0.16. -239500.84 Calculate -2283.6 - 3. -2286.6 What is 4 take away 8254? -8250 What is 71 + 13? 84 Add 1.55 and -102. -100.45 Work out 16 - -268. 284 0.468 - 20 -19.532 What is 32.52 + -0.5? 32.02 Calculate -0.097424 - 0.5. -0.597424 What is -0.143 less than -1427? -1426.857 Calculate -0.08172 + 4. 3.91828 Work out 0.02018 - -3. 3.02018 Put together 0.07 and 0.64533. 0.71533 Calculate 4 + -9930. -9926 Total of 80 and -1.14. 78.86 What is -5.4 minus 0.05? -5.45 Put together 0.0468 and -0.01. 0.0368 Add together -0.1 and 306483. 306482.9 What is 1621 take away 81? 1540 0.3280607 + -0.4 -0.0719393 -0.053+0.33485 0.28185 What is 1213.01 minus -0.5? 1213.51 Sum 29 and 263. 292 What is -22 minus 0.0458? -22.0458 What is 1372 less than 0? -1372 What is 0.9 minus 279? -278.1 What is the difference between 3.5 and -0.073? 3.573 -246922 + -0.06 -246922.06 Calculate 2 - -1.5. 3.5 What is -1.912 - -0.5? -1.412 Subtract 47768 from 0.11. -47767.89 Add 220444.6 and 0.3. 220444.9 Sum 701 and 1.9. 702.9 0.1823 - -24 24.1823 What is -2 take away -259.1? 257.1 What is -0.254 take away -0.12? -0.134 -128 - 0.39 -128.39 What is the difference between 32 and 4.68? 27.32 What is the distance between -0.05 and 9.5191? 9.5691 What is 14643 take away -100? 14743 Work out 0.33 - 58278. -58277.67 Total of -11.4 and -0.05. -11.45 0.1616+-3 -2.8384 What is -16 less than -1209.57? -1193.57 Sum 6 and 557056. 557062 Sum 274927 and 0.2. 274927.2 What is -0.5 take away 43.542? -44.042 Add together 0.06245793 and -0.5. -0.43754207 What is -40 minus 18? -58 Total of -187 and 50. -137 Add together 0.05 and 68.381. 68.431 Calculate -54 + -110. -164 Subtract 34.41 from -147. -181.41 Subtract -3 from 10.3. 13.3 Sum 313 and -41. 272 What is 10.5 + 0.058? 10.558 1+355 356 Add together -8172 and 0.7. -8171.3 What is 0.27 + 98? 98.27 What is the distance between -311.347 and 0.8? 312.147 Calculate -482 - -0.1. -481.9 Add together -2.1 and -128. -130.1 What is -1187 take away -0.0257? -1186.9743 What is 795 less than 4? -791 What is 5172 + -0.78? 5171.22 What is -0.3 minus -1000? 999.7 What is the difference between -0.07 and 0.201? 0.271 Sum 0.2 and -0.14. 0.06 Add together 0.2 and -0.0404. 0.1596 What is -3422 - 0.1? -3422.1 Calculate 51084 - 14. 51070 What is -0.5 minus 1.27? -1.77 Total of -826 and -0.53. -826.53 What is the difference between 5068 and -6.1? 5074.1 Subtract 2.8 from -7446. -7448.8 Calculate -5.742 - -0.07. -5.672 -1491 + 492 -999 Add together 5227 and -367. 4860 -0.0318 + 3 2.9682 Add 7096 and 3. 7099 Add -0.5 and -111975. -111975.5 Subtract 1555 from 221. -1334 What is -19131 take away 0? -19131 Add together 0.209 and 25. 25.209 What is -9.45 minus 2.02? -11.47 Add together -0.2272 and 10. 9.7728 Add -6.6841 and 0.4. -6.2841 Total of -22338 and -13. -22351 0.0313 + 0 0.0313 Work out -3 + 45050. 45047 What is -134.798 + -2? -136.798 0.34809+-0.04 0.30809 What is -390.11 take away -1? -389.11 Add -232583.7 and 0. -232583.7 -1123+-1 -1124 Work out -15301 - -123. -15178 What is the distance between -1276 and 0.044? 1276.044 Work out -239 + -0.0619. -239.0619 What is the distance between -0.13 and -0.41? 0.28 What is 0.06 less than -1080? -1080.06 15 + -347565 -347550 Put together 662851 and -0.2. 662850.8 What is -0.5 minus 1877? -1877.5 What is the difference between 76.1874 and -1? 77.1874 What is -11 - 7.033? -18.033 0.2 + 1.5422 1.7422 Work out -99817 + -0.1. -99817.1 Put together 2 and -1075.23. -1073.23 What is the difference between 0.5 and -1748.025? 1748.525 Work out 56 - 7829. -7773 What is -0.06 - 6? -6.06 What is 2950941 - -3? 2950944 What is -0.06 take away 0.046? -0.106 Total of 128 and -1. 127 Subtract -10 from -147556. -147546 -0.018 + -16 -16.018 Work out -418 + 79. -339 12.4146 + 2 14.4146 What is -778.92 - -0.03? -778.89 Add together -74212 and 59. -74153 What is 1896112 + 1? 1896113 Add 0.409 and -1.04. -0.631 -387 + 1879 1492 What is 8510 less than 0.05? -8509.95 Add -0.2 and 0.13736. -0.06264 Work out -13 - 0.76. -13.76 Work out 3.5 + 0.8. 4.3 Work out 2401 - 4. 2397 What is 171 - 1.3? 169.7 Add 1.45 and 58. 59.45 What is the difference between -0.2 and -35542? 35541.8 Calculate 436352 + 0.09. 436352.09 Calculate -178.4 - -0.29. -178.11 Subtract 65209 from -2. -65211 What is 7702 less than 2? -7700 Work out 1934 + 5.3. 1939.3 -14050+-0.5 -14050.5 Total of 18.759 and -34.6. -15.841 Sum 2 and 7220.97. 7222.97 What is -0.4 less than -428884? -428883.6 Calculate -5.4 - -5. -0.4 0.049169+7 7.049169 Calculate -6828 - -2. -6826 -11+2.089 -8.911 What is 2.187 less than 1.3? -0.887 Calculate 0.151853 + -2. -1.848147 What is -7.37 take away -61.6? 54.23 951 + -0.2 950.8 What is 0.141859 less than -1.3? -1.441859 Add together -64 and 37070. 37006 Add -2 and 172.9. 170.9 Work out 5.594 - -12. 17.594 Total of 332 and -0.053. 331.947 What is -972 take away -0.3? -971.7 What is -5 take away -3865? 3860 Work out -39048 - 1. -39049 What is the distance between -12072 and 0.0664? 12072.0664 What is -11 less than -0.196? 10.804 What is the difference between -232.8 and 0.475? 233.275 -155 + 25 -130 What is 12 + 529.8? 541.8 Total of 4.742 and 33. 37.742 What
{ "pile_set_name": "DM Mathematics" }
f(r) - z(r). 2*r**2 - 20*r - 1 Suppose -5*h = -a + 14 + 1, -2*a + 5*h + 10 = 0. Let j(q) = -q**3 - 8*q**2 - 2*q + 6. Let w(p) = -p**3 - 7*p**2 - 2*p + 5. Determine a*j(b) + 6*w(b). -b**3 - 2*b**2 - 2*b Let x(i) = i**3 - i + 1. Let l(b) be the first derivative of 9*b**2/2 + 95*b + 41. Let p be l(-11). Let j(z) = 5*z**3 - 7*z + 7. What is p*j(q) + 28*x(q)? 8*q**3 Let b(x) = 16*x**2 - 6. Let m(i) = -i**3 + 33*i**2 - 42*i + 326. Let a be m(32). Let n(w) = -16*w**2 + 5. Give a*n(y) + 5*b(y). -16*y**2 Let o(m) = -3*m**3 + 1141*m**2 - 4*m - 4. Let i(p) = -7*p**3 + 2281*p**2 - 10*p - 11. Calculate -2*i(x) + 5*o(x). -x**3 + 1143*x**2 + 2 Let k = 26 + -22. Let f(x) = x**2 - x - 1. Let b(c) be the second derivative of c**5/20 - c**4/3 + 2*c**3/3 + 2*c**2 - 392*c. Determine k*f(n) + b(n). n**3 Suppose 4*t + 2*w = -392, 0*t + 2*w + 104 = -t. Let i be (-8)/t*4 - (-35)/3. Let h(a) = -a - 9. Let m(o) = -2*o - 22. Calculate i*h(g) - 5*m(g). -2*g + 2 Let b be -3 + (-1 - 8) + 15. Let v(o) = 26*o**3 - 7*o. Let d(z) = -13*z**3 + 3*z. Give b*v(x) + 7*d(x). -13*x**3 Let l(v) = 8*v - 2. Let a(w) = -45*w - 439. Give a(k) + 5*l(k). -5*k - 449 Let b(s) = s - 1. Let h(y) be the second derivative of -y**3 - 31*y**2/2 - 9680*y. Calculate 4*b(k) + h(k). -2*k - 35 Let n(s) = s**2 + 4*s + 1. Let p(b) = b**2 - 16*b + 4. Let w be 15/(-40) - 1310/(-80). Let c be p(w). Let q(a) = -a**2 - 3*a - 1. Calculate c*n(u) + 5*q(u). -u**2 + u - 1 Let c(h) = 6*h**2 - h + 1. Let p(r) = r**2 - r + 1. Let q be (8/(32/(-6)))/((-3)/(-2)). Let j be 1*(5 + q - 3). What is j*p(x) - c(x)? -5*x**2 Let l(t) be the second derivative of -t**3/2 - t**2/2 - 629*t + 5. Let x(j) = -4*j - 2. Determine -2*l(m) + 3*x(m). -6*m - 4 Let h(b) = 2148*b**3 - 2*b**2 + 2*b + 4. Let p(a) = 6445*a**3 - 7*a**2 + 7*a + 14. Give 21*h(y) - 6*p(y). 6438*y**3 Let x be (-5 + (-12)/(-4))*-2. Suppose 4*j + 3087 = -5*o + 3044, -4*o + 5*j - 18 = 0. Let v(p) = 14*p - 9. Let z(k) = 7*k - 5. Calculate o*z(i) + x*v(i). 7*i - 1 Let n(p) = -39*p**3 + 5*p**2 - 5*p. Let t(g) = 58*g**3 - 8*g**2 + 8*g. Let b(k) = 268*k - 4012. Let o be b(15). Give o*n(u) + 5*t(u). -22*u**3 Let w(b) = -9*b + 41. Let x(u) = -5*u + 32. Determine 3*w(f) - 4*x(f). -7*f - 5 Let k(z) = z**2 + z + 1. Let y = 8800 + -8799. Let c(w) = 7*w**3 - 5*w**2 - 5*w - 5. What is y*c(n) + 5*k(n)? 7*n**3 Let l(o) = -6*o + 5. Let h(g) = -93 + 8*g - 7*g + 69 + 25. Calculate 3*h(c) + l(c). -3*c + 8 Let x(w) be the third derivative of w**4/12 - 2*w**3/3 + 4*w**2 + 20*w + 186. Suppose -3*m + 12 = -0*m. Let t(d) = 3*d - 4. What is m*t(n) - 5*x(n)? 2*n + 4 Let p(s) = -112*s - 15. Let h(z) = -728*z - 96. Determine -5*h(q) + 32*p(q). 56*q Let s(r) = 38*r**3 + 5*r**2 + 24*r. Let h(q) = -39*q**3 - 6*q**2 - 24*q. Calculate -5*h(a) - 6*s(a). -33*a**3 - 24*a Let x be (-2)/(-1*2) + -2. Let y(i) = 5*i + 72. Let n(u) = 3*u + 41. Let g(j) = -7*n(j) + 4*y(j). Let f(s) = -7*s - 5. Calculate x*f(b) - 3*g(b). 10*b + 2 Let o(f) = 20*f**2 + 17*f - 12. Let a(n) = 7*n**2 + 8*n - 23. Let z(b) = -22*b**2 - 26*b + 79. Let l(y) = -7*a(y) - 2*z(y). Give 9*l(k) + 2*o(k). -5*k**2 - 2*k + 3 Let r(p) = -p. Let g(b) be the first derivative of b**5/30 - b**4/12 + 64*b**3/3 - 14. Let a(i) be the third derivative of g(i). What is -a(s) - 5*r(s)? s + 2 Let n(f) = 80*f**2 + 61*f. Let k(b) = 40*b**2 + 29*b. Let d(u) = 7*k(u) - 3*n(u). Let y(c) = 13*c**2 + 7*c. Give 6*d(m) - 17*y(m). 19*m**2 + m Let x(y) = 1. Let v(q) = -6*q. Determine -v(j) - 5*x(j). 6*j - 5 Let b(w) = 71*w - 20*w - 1 - 26*w - 33*w. Let k(q) = 15*q + 2. Calculate 5*b(d) + 3*k(d). 5*d + 1 Let h(r) = 2*r**2 + 2*r - 1. Let w = -7 + 0. Let t(d) = -1793*d**2 + 1799*d**2 - 2 + 9806*d - 9799*d. Calculate w*h(i) + 2*t(i). -2*i**2 + 3 Let p(q) = q + 24. Let a(u) = 23 + 62*u + 66*u + 60*u + 60*u - 247*u. Calculate 4*a(s) - 3*p(s). s + 20 Let w(l) = 6*l**3 - 2730*l**2 + 5*l + 30. Let s(o) = -o**3 - o - 6. Give 5*s(m) + w(m). m**3 - 2730*m**2 Let z = 170 + -167. Let q(f) = -8*f**z - 6*f**2 - 6*f**2 + 4*f - 4*f. Let d(n) = -3*n**3 - 5*n**2. Give -12*d(k) + 5*q(k). -4*k**3 Let y = 2087 - 2083. Let c(r) = -16*r**3 - 4*r**2 - 4*r - 4. Let u(d) = -111*d**3 - 27*d**2 - 27*d - 27. Determine y*u(z) - 27*c(z). -12*z**3 Let a(k) = -1 - 7*k + 3 + 5*k. Let q = 2 + -8. Let t(m) = m. Let p(u) = 7*u - 1. Let j(c) = q*t(c) + p(c). Determine -2*a(s) - 3*j(s). s - 1 Let a(l) = 18*l**2 + 9*l + 363. Let y(r) = 3*r**2 + 2*r + 3. Calculate -a(b) + 5*y(b). -3*b**2 + b - 348 Let q(w) = -15*w - 1538. Let k(f) = 24*f + 3084. Determine 3*k(t) + 5*q(t). -3*t + 1562 Let i(v) = -47*v + 3714. Let h(f) = 76*f - 5572. Give -5*h(m) - 8*i(m). -4*m - 1852 Suppose 8235*p = 8239*p - 8. Let l(o) = 9*o**2 - 5*o + 2. Let v(b) = b**2 - b + 1. Give p*v(q) - l(q). -7*q**2 + 3*q Let y(p) = 52*p. Let t(h) = -h + 346304767 - 346304767. What is 6*t(o) + y(o)? 46*o Let t(n) = -1456*n + 22. Let h(d) = 4375*d - 62. Give -6*h(v) - 17*t(v). -1498*v - 2 Let o(m) = -17*m**2 - 3*m + 8. Let z(w) = -67*w**2 - 14*w + 36. Give 18*o(k) - 4*z(k). -38*k**2 + 2*k Let g(b) = 4*b**2 + 6*b - 6. Let d(i) = 3*i**2 + 5*i - 5. Let x = 6 - 2. Let l(k) = -x*k - k**2 - k + 6 + 3*k + 3*k. Let w be l(0). What is w*d(p) - 5*g(p)? -2*p**2 Suppose 2*z = -5*n + 26 - 3, -3*z = 3. Let t(w) = -5*w - 8*w**2 - n + w**2 - 3*w**2. Let l(o) = 15*o**2 + 7*o + 7. What is -5*l(f) - 7*t(f)? -5*f**2 Let m(f) = 8*f + 11. Suppose 21 = -s - 5*q, 226*q + 15 = -s + 223*q. Let k(d) = -7*d - 10. Determine s*k(u) - 5*m(u). 2*u + 5 Let m(d) = -7*d**3 - 4*d**2 + 15*d + 2. Let i(a) = -8*a**3 - 6*a**2 + 16*a + 3. Give 2*i(v) - 3*m(v). 5*v**3 - 13*v Let w(s) = -21*s**3 - 6*s**2 - 4*s + 31. Let y(u) = -18*u**3 - 5*u**2 - 3*u + 29. Calculate 5*w(d) - 6*y(d). 3*d**3 - 2*d - 19 Let j(i) = 2*i**3 - 9*i**2 + 3*i - 3. Let h(w) be the third derivative of w**6/30 - 17*w**5/60 + w**4/4 - 5*w**3/6 + 3208*w**2. Calculate 3*h(t) - 5*j(t). 2*t**3 - 6*t**2 + 3*t Let n(i) = 13*i**3 + i**2 + 2*i. Suppose 0 = -2*u + 5*r + 41, -10*u - 34 = -12*u + 4*r. Let f(c) = -14*c**3 - 2*c**2 - 2*c - 1. Calculate u*n(y) + 2*f(y). 11*y**3 - y**2 + 2*y - 2 Let i be ((-6)/4 + 1)*-2. Let u(f) = -3*f**2 + 1. Let y(l) = -72204*l**2 + 48 + 72203*l**2 - l**3 - 47. Calculate i*u(q) - 3*y(q). 3*q**3 - 2 Let p(s) = -3 + 11*s**2 - 2 + 5 + 8 - 4. Let c(m) = -23*m**2 - 6*m - 6. Let y(t) = -t**2 - t. Let x = 5 - 4. Let d(k) = x*c(k) - 6*y(k). Give -5*d(h) - 8*p(h). -3*h**2 - 2 Let o(g) = -3*g - 4. Suppose 3*x - 3 = d, -12 = -6*d + 2*d. Let r(m) be the third derivative of 2*m**4/3 + 7*m**3/2 - 2*m**2 - 23*m. Calculate x*r(p) + 11*o(p). -p - 2 Let a(z) be the second derivative of z**3/6 + 14915*z. Let u(k) = -8*k - 2. What is 2*a(b) - u(b)? 10*b + 2 Let v(i) = 3*i**3 - 2*i**2 + 4*i + 12. Let y(j) = -5*j**2 - 197*j - 270. Let a be y(-38). Let n(z) = z**3 - z**2 + z. Give a*n(s) + v(s). -s**3 + 2*s**2 + 12 Let k(a) = -10*a - 8. Let t(z) = 114*z + 2259. Let r(q) = -7*q - 137. Let i(m) = 33*r(m) + 2*t(m). Suppose -s = -6*s - 5, 54 = -4*h + 2*s. Give h*i(c) + 5*k(c). -8*c + 2 Let f be -1 - (-2 - ((-2)/3 + 42/63)). Let k(h) = -h - 1. Let s(b) = -b - 5. Give f*s(g) - 2*k(g). g - 3 Let p(x) = -42*x**3 - 9*x**2 - 27*x - 74. Let c(y) = 20*y**3 + 4*y**2 + 12*y + 37. Give 9*c(j) + 4*p(j). 12*j**3 + 37 Let h(u) = -2*u + 9. Let j = 1558 + -1554. Let t(q) = 1. Determine j*h(k) - 36*t(k). -8*k Let n(a) = 1. Let j(g) = 2*g**2 + 5*g - 5. Suppose 12*s = -11 + 23. Determine s*j(q) + 4*n(q). 2*q**2 + 5*q - 1 Let m(h) = 9*h + 8. Let d(z) = -1364*z - 16. Give -4*d(x) - 8*m(x). 5384*x Let n(c) = 38279*c**2 + 4545*c - 1515. Let i(x) = -101*x**2 - 12*x + 4. Calculate -1515*i(v) - 4*n(v). -101*v**2 Let z(k) = -12*k**2 - 10*k - 10. Let l = 936 + -766. Let x be l/17 + -3 + (0 - -13). Let t(o) = 0*o**2 + o**2 + 1 + 3*o - 2*o. Calculate x*t(y) + 2*z(y). -4*y**2 Let h(i) = -17 + 11 + 7. Let g(s) = -10*s**2 + 3*s + 14. Let k(n) = -7*n**2 + 3*n + 11. Let z(p) = -3*g(p) + 4*k(p). Give h(o) - z(o). -2*o**2 - 3*o - 1 Let o(l) = -7*l + 47. Let i(v) = -3*v + 23. Let w be 4*9*(-1)/4*(224 + -225). Give w*i(t) - 4*o(t). t + 19 Let h(t) = -2*t**2 - 2*t - 3. Let x(w) be the third derivative of -w**5/15 - 5*w**4/24 - 7*w**3/6 - 19*w**2 - 3*w. Give 9*h(m) - 4*x(m). -2*m**2 + 2*m + 1 Suppose 81 - 80 = -5*k + 2*b, 2*k - 2*b + 10 = 0. Let w(n) = 26. Let f(i)
{ "pile_set_name": "DM Mathematics" }
3. Let k(f) = 16*l(f) + 3*z(f). What is k(s(d))? -8*d**4 Let w(q) be the third derivative of q**5/60 - 11*q**2. Let a(x) = -12*x. Let m(n) = 25*n. Let v(u) = 13*a(u) + 6*m(u). What is w(v(s))? 36*s**2 Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)). 8*g**2 Let m(c) = 5*c. Let h = -5 + 12. Let q(j) = 7 - h + j**2. What is m(q(n))? 5*n**2 Suppose s = 4*s - 6. Let m(f) = 3*f + f + s - 2. Let i(z) = z + 0*z - 2*z. Give i(m(x)). -4*x Let i(a) be the third derivative of 1/12*a**4 - 6*a**2 + 0*a + 0 + 0*a**3. Let q(d) = 2 + 5*d - 2. What is i(q(b))? 10*b Let c(h) = 551*h**2. Let g(f) = -f. Calculate g(c(l)). -551*l**2 Let a(f) = 2*f**2. Let t(q) be the first derivative of 2*q**3/3 - 14. Give a(t(v)). 8*v**4 Let f(m) = -m. Let u(b) = -5*b. Let d = 1 - 5. Let z(a) = d*f(a) + u(a). Let g(w) = 3*w**2. Calculate z(g(t)). -3*t**2 Let u(k) = -178*k**2 + 2*k. Let c(w) = -w. What is c(u(n))? 178*n**2 - 2*n Suppose 0 = g + 2*g - 21. Let k(t) = -3*t - 2*t + g*t. Let o(d) = -17*d**2. What is o(k(m))? -68*m**2 Let b(a) be the third derivative of a**4/6 + 20*a**2. Let y(g) be the first derivative of -g**3/3 - 1. Calculate y(b(m)). -16*m**2 Let m(s) = -3*s**2. Let g(u) = -95*u**2. Calculate m(g(v)). -27075*v**4 Let z(j) be the third derivative of j**5/120 - j**3/6 - 3*j**2. Let d(k) be the first derivative of z(k). Let i(l) = l. Determine i(d(f)). f Let u(j) = j - 3. Let v be u(6). Let y = v + 1. Let o(c) = 3*c**2 + 4*c. Let n(t) = t**2 + t. Let g(p) = y*n(p) - o(p). Let q(k) = k**2. Calculate q(g(a)). a**4 Let x(d) = 6*d**2 - d**2 - d**2 - 1 - d**2. Let h(c) = 2*c**2. Calculate h(x(j)). 18*j**4 - 12*j**2 + 2 Let r(f) be the first derivative of 0*f - 1/3*f**3 + 0*f**2 + 7. Let s(p) = -16*p**2. Calculate r(s(d)). -256*d**4 Let i(n) = 3*n. Suppose 3*f = 1 + 5. Suppose 10 = -4*k + 4*p - 2, -5*k = -2*p. Let r(g) = 0*g**f - 3*g**k + 7*g**2 - 3*g**2. Give r(i(x)). 9*x**2 Let i(k) be the first derivative of 13*k**2/2 + 21. Let m(b) = b**2. Give i(m(f)). 13*f**2 Let x(s) = -s - 21. Let y(h) = -2*h**2 - 5*h - 5. Let t(g) = g + 1. Let b(j) = 5*t(j) + y(j). Calculate b(x(u)). -2*u**2 - 84*u - 882 Let b(z) = -4*z. Let c(a) be the first derivative of 0*a**2 + 0*a + 3 + 2/3*a**3. What is c(b(w))? 32*w**2 Let f(a) = a**2. Let j(o) = -151*o**2 + 14*o. Let v(b) = 76*b**2 - 6*b. Let u(w) = -3*j(w) - 7*v(w). What is u(f(q))? -79*q**4 Let g(o) = o. Let a(n) be the second derivative of 31*n**3/6 - 13*n. What is a(g(i))? 31*i Let k = -2 + 5. Let f(i) = -8*i**2 - 4*i - 4. Let q(r) = 7*r**2 + 3*r + 3. Let d(u) = k*f(u) + 4*q(u). Let z(a) = a**2. What is d(z(v))? 4*v**4 Let z(b) be the second derivative of b**4/24 + 9*b**2/2 + 2*b. Let f(o) be the first derivative of z(o). Let h(i) = i. Calculate f(h(r)). r Let y(j) = j**2. Let c(u) = 3*u - 127. Calculate c(y(a)). 3*a**2 - 127 Let l(k) = -8*k**2 + 22*k. Let a(h) = 27*h. Calculate l(a(m)). -5832*m**2 + 594*m Let w(u) = 397*u**2 - 15. Let m(n) = n**2. Give w(m(d)). 397*d**4 - 15 Let q(t) be the second derivative of -t**4/4 + 22*t. Let l = 6 + -1. Let d(i) = 5*i**2 - l*i**2 + 3*i**2. Calculate d(q(g)). 27*g**4 Let c(i) = 2*i. Let f(t) = -2*t. Let x(v) = -5*c(v) - 6*f(v). Let k(l) be the third derivative of -l**5/20 - l**2. What is k(x(y))? -12*y**2 Let w = -6 + 7. Let u(q) = 0 - w + 1 + 2*q. Let v(p) = 3*p**2. Give v(u(z)). 12*z**2 Let t(k) = 3*k. Let v(x) = -14*x + 4*x - 2*x. Calculate v(t(m)). -36*m Let t(f) be the third derivative of -f**4/24 - f**3 - f**2. Let m be t(-8). Let r(h) = 2*h + m - 2. Let o(c) = -c**2. What is r(o(z))? -2*z**2 Let b be 1 - (-2)/((-4)/22). Let l be (-18)/(-5) + (-4)/b. Let y(d) = l - 4 + 5*d. Let h(n) = -2*n. Determine h(y(c)). -10*c Let i(u) = -80*u - 55. Let y be 12/(-16) - 10/8. Let s(v) = 3*v + 2. Let m(z) = y*i(z) - 55*s(z). Let q(o) = -4*o + 10 + 2*o - 10. What is q(m(h))? 10*h Let l(v) = -2*v**2. Suppose 3*k - 4*k = 2. Let j(n) = -n + 2. Let m(z) = -4*z + 5 + z + 0*z. Let f(o) = k*m(o) + 5*j(o). Give f(l(d)). -2*d**2 Let y(g) = g**2. Suppose -m + 6 = 2*m. Let d(c) = 0*c + 2*c**2 - 2*c + m*c. Determine d(y(h)). 2*h**4 Let g(o) = 2*o**2. Let s(i) be the first derivative of -i**6/360 + i**3 + 5. Let n(m) be the third derivative of s(m). What is n(g(q))? -4*q**4 Let u(a) be the third derivative of a**7/1680 - a**5/20 - 11*a**2. Let s(p) be the third derivative of u(p). Let n(t) = -2*t - 3*t**2 + 2*t. Calculate n(s(k)). -27*k**2 Let t(c) = -55*c**2. Let r(x) = 86*x. Calculate t(r(a)). -406780*a**2 Let y(k) = 3*k**2. Let a(f) = -3*f**2 - 541*f. What is a(y(v))? -27*v**4 - 1623*v**2 Let s(f) = -37*f. Let g(q) = -5*q**2 + 7. Let u(n) = -2*n**2 + 3. Let l(j) = 3*g(j) - 7*u(j). Determine l(s(z)). -1369*z**2 Let k(o) = 3*o. Let r(j) be the third derivative of j**5/60 + 10*j**2. Calculate r(k(l)). 9*l**2 Let u(h) = -6*h**2. Suppose -3*c + 6 + 0 = 0. Let k(p) = 5*p**c - 2*p**2 + 2*p**2 - 4*p**2. Determine k(u(i)). 36*i**4 Let w(n) = -7*n. Let c(f) = 16*f. Give w(c(z)). -112*z Let t(b) = -3 + b + 4 + 1 - 4. Let v(i) = -i + 3. Let q(y) = -3*t(y) - 2*v(y). Let d(n) = -n**2. Calculate d(q(w)). -w**2 Let d(g) be the third derivative of g**4/8 + 8*g**2. Let i(w) = 2*w. What is d(i(r))? 6*r Let g(u) = -3*u. Let d(t) be the first derivative of 8*t**3/3 - 2. Calculate d(g(o)). 72*o**2 Let d(m) = -3*m**2 - 4 + 4. Let v be (15 + -5)*2/4. Let g(w) = 7*w**2 - 5*w. Let r(j) = 4*j**2 - 3*j. Let q(n) = v*r(n) - 3*g(n). Give q(d(l)). -9*l**4 Let c(w) = 131*w**2 + w. Let o(x) = -4*x**2. What is c(o(f))? 2096*f**4 - 4*f**2 Let u(v) = 2*v. Let y(h) = -14059*h. What is u(y(m))? -28118*m Let m(r) be the first derivative of -r**2 + 14. Let q(y) = 8*y. Give q(m(w)). -16*w Let s be (-5)/6*20/(-50). Let m(o) be the first derivative of 0*o**2 - s*o**3 - 2 + 0*o. Let j(f) = f**2. Give j(m(r)). r**4 Let n(r) = 4*r**2 + 2*r. Suppose -4 = f + f. Let a(w) = 4*w**2 + 3*w. Let d(x) = f*a(x) + 3*n(x). Let y(z) = -z. Give y(d(m)). -4*m**2 Let v(y) = 2*y. Suppose -2 = -3*n + 2*n. Suppose 0 = -5*i + 5*p + 5, 0 = -n*i - 0*i - p + 8. Let h(j) = 0*j - j + i*j. Calculate v(h(o)). 4*o Let x(j) = 8*j**2. Let w(q) = 23*q**2. Let g(f) = 3*w(f) - 8*x(f). Let n(c) = -2*c**2. Give n(g(a)). -50*a**4 Let u(v) be the third derivative of -v**5/30 - 11*v**2. Let d(n) be the second derivative of -n**3/6 - n. Calculate d(u(l)). 2*l**2 Let w(h) = 7*h. Let a(k) = -4*k**2 + 261*k - 261*k. Calculate w(a(p)). -28*p**2 Let l(r) = 4*r**2. Let k(q) = -q - 2. Let g(p) = 3*p + 5. Let t(m) = 6*g(m) + 15*k(m). Calculate l(t(a)). 36*a**2 Let x(o) = -605*o**2. Let u(r) = -7*r**2. Calculate x(u(g)). -29645*g**4 Let j(s) = 2*s**2 - 2*s**2 - 2*s**2. Let o(p) = -p**2 + 2*p - 2. Let f(l) = -5*l**2 + 11*l - 11. Let w(t) = 4*f(t) - 22*o(t). Determine j(w(y)). -8*y**4 Let d(q) = 94*q. Let k(z) = -z. Determine k(d(b)). -94*b Let h(r) = -r**2. Let x(a) = -a**2 - a. Let z(u) = -u**2 - 2*u. Let s(p) = -2*x(p) + z(p). Determine h(s(i)). -i**4 Let u(q) = -q**2. Let r = 9 + -5. Suppose n - 3*x - 7 = 0, -r*n + 5*x + 20 = -8. Let d(b) = -n - b + 7. What is u(d(w))? -w**2 Let k(x) = 0 - x**2 + 0. Let t(l) = -2*l - 48 + 48. Determine k(t(f)). -4*f**2 Let m(j) = 16*j. Let u(r) = 4*r. Let n(a) = -2*m(a) + 9*u(a). Let x(l) = -8*l + 6. Let k(q) = -q + 1. Let s(v) = -6*k(v) + x(v). Give n(s(c)). -8*c Let m(k) = -k + k + 0*k + k. Let f(y) be the first derivative of 0*y + 1 + 0*y**2 + 4/3*y**3. Give f(m(g)). 4*g**2 Suppose -1 - 2 = -3*g. Let u(o) = 1 + 6*o - g. Let b(f) be the third derivative of f**4/24 - 9*f**2. Give u(b(n)). 6*n Let a(i) = 11384*i**2. Let t(d) = 2*d**2. Give t(a(l)). 259190912*l**4 Let s(q) = -5*q**2. Suppose 2 = -4*h + 5*h. Let y(u) = 3*u**2 - 3*u**h + 2*u**2. Determine s(y(w)). -20*w**4 Let l(d) = 87*d - 15. Let r(s) = 22*s - 4. Let c(o) = -4*l(o) + 15*r(o). Let x(q) = -9 - 68*q**2 + 9 + 70*q**2. Determine x(c(n)). 648*n**2 Let m(i) = -12*i. Let c(h) = -26*h**2 + 55*h**2 - 33*h**2. Determine m(c(x)). 48*x**2 Let v(z) = -5*z. Let u(f) = f**3 - 17*f**2 + 17*f - 16. Let b be u(16). Let k(i) be the second derivative of b + 1/3*i**3 + 0*i**2 - 3*i. Determine v(k(l)). -10*l Let x(h) = -h. Let y(l) = 156*l**2 + 32. Let i(r) = 24*r**2 + 5. Let f(u) = 32*i(u) - 5*y(u). Determine x(f(j)). 12*j**2 Let c(b) = 7*b**2. Let x(l) = 304*l**2 - 153*l**2 - 152*l**2.
{ "pile_set_name": "DM Mathematics" }
40 Solve 0 = -79807*b + 74556*b - 147028 for b. -28 Solve -977 = -165*s - 47*s - 1613 for s. -3 Solve 1740*b + 22330 + 6788 - 4632 = 2906*b for b. 21 Solve 214*m + 3678*m - 315705 = 327*m - 1292*m for m. 65 Solve 8*o - 9313 = -4*o - 126*o + 761 for o. 73 Solve 53266 = 387*r + 21145 for r. 83 Solve 81*q - 11193 - 6925 = -130*q - 1027 for q. 81 Solve 0 = -5921*p + 20077*p + 113248 for p. -8 Solve -1227*p - 179224 = -360*p + 1389*p - 172*p for p. -86 Solve 710181 - 686227 = 413*m for m. 58 Solve -176*d + 4465*d = -158693 for d. -37 Solve 35557725*t - 35558156*t = 42669 for t. -99 Solve 891*p + 437683 - 116396 = -4376*p for p. -61 Solve -508 + 166 = -84*k + 1182 - 264 for k. 15 Solve 396*y = 250*y + 1898 for y. 13 Solve 4514*x + 720 - 90 = 4556*x for x. 15 Solve -28557*c + 27668*c = 0 for c. 0 Solve -12262 = 1548*o + 7862 for o. -13 Solve 302*d - 246*d - 2856 = 98*d for d. -68 Solve -2335 - 1011 = 435*j + 7964 for j. -26 Solve 0 = -381*g - 24479 + 12287 for g. -32 Solve 3*j - 4*j - 759 = 739 - 1522 for j. 24 Solve -108*g + 226*g + 1896 = -198*g for g. -6 Solve -2431 = 152*u - 15*u + 3871 for u. -46 Solve -216*q - 1327*q = 1244*q - 744*q - 24516 for q. 12 Solve -159*l = 246*l + 18*l - 101*l + 24794 for l. -77 Solve 55*i = 15*i - 13*i - 371 for i. -7 Solve 1236*k - 224*k + 89425 = -751*k - 62*k for k. -49 Solve 0 = 535*z - 28567 + 18937 for z. 18 Solve -168*p + 2129748 - 2133780 = 0 for p. -24 Solve 8869*b + 247022 = 1045232 for b. 90 Solve -10920 = -1215*p - 61950 for p. -42 Solve 6871*h - 7702*h = -59832 for h. 72 Solve -839*x + 284415 - 67947 = -677*x - 2739*x for x. -84 Solve 5445*q - 1841*q = 2645*q + 64253 for q. 67 Solve -202*f + 15*f + 21904 - 3508 = 65*f for f. 73 Solve -12*u - 28*u + 584 + 289 - 233 = 0 for u. 16 Solve 40959 + 31483 = 120*j + 899*j - 3983 for j. 75 Solve 15250*p - 462516 = 650734 for p. 73 Solve -20*x - 93780 = -2*x + 2066*x for x. -45 Solve 1364 - 6460 = 104*r for r. -49 Solve 0 = 1059*i - 32895 - 10524 for i. 41 Solve -250*s + 68*s = -85*s + 272*s + 22878 for s. -62 Solve 941*g + 2287 = -6182 for g. -9 Solve -131*o + 2251*o = 73266 + 5174 for o. 37 Solve 521*f = -551*f - 46096 for f. -43 Solve 1082*a - 913*a - 2028 = 0 for a. 12 Solve 4618 - 8306 = -15*o - 4453 for o. -51 Solve 0 = -22269*f + 974890 + 479848 - 462532 + 2303606 for f. 148 Solve -768*n = 13743 - 46767 for n. 43 Solve -370*z - 271*z + 34884 = -29*z for z. 57 Solve -112*o - 773 = 968 + 4083 for o. -52 Solve -26*t + t + 8*t + 8512 = -129*t for t. -76 Solve 0 = -18668*u + 18642*u - 196 - 506 for u. -27 Solve 2621*s = -3606*s - 809510 for s. -130 Solve -1273 = -530492*n + 530559*n for n. -19 Solve -500 + 3013 = -364*u - 3311 for u. -16 Solve 70*q = -116*q + 104*q + 4018 for q. 49 Solve 0 = -11096*u + 10961*u - 3645 for u. -27 Solve 0 = 519*h + 570*h + 69360 + 115992 - 60117 for h. -115 Solve 277*p - 507941 = -528162 for p. -73 Solve -1295*a + 476*a - 1334*a + 39912 = -490*a for a. 24 Solve -38*w - 142 = 883 + 234 - 499 for w. -20 Solve -1047*n - 160788 = -27819 for n. -127 Solve 0 = -75*g - 854*g + 16722 for g. 18 Solve 1153*k - 7*k - 49704 = 720 for k. 44 Solve 56155 = -343*t + 542*t + 302*t + 520*t for t. 55 Solve 60*g + 121*g + 17172 = -58*g - 85*g for g. -53 Solve 1612 = 1577*s - 23620 for s. 16 Solve 2649*u - 4776*u + 184964 = 1430*u for u. 52 Solve 601*k + 7692*k = -1667*k - 1779*k - 46956 for k. -4 Solve 44622 = -2350*q - 170*q + 41*q for q. -18 Solve 0 = -6926501*i + 6926515*i - 924 for i. 66 Solve -47*y + 130*y - 1161 = 831 for y. 24 Solve -18716*m = -13781*m - 389865 for m. 79 Solve -7223*v - 10514 - 912317 = -142747 for v. -108 Solve 212*d = 93*d + 84*d + 74*d + 4056 for d. -104 Solve 0 = 3218*j + 3620*j + 314548 for j. -46 Solve 335*s = -4191 - 1839 for s. -18 Solve -269*r - 677 + 4482 + 4265 = 0 for r. 30 Solve 0 = -9059*l + 311510 - 557312 - 442682 for l. -76 Solve 783*g - 4156 - 5240 = 0 for g. 12 Solve 22*n + 354 = 10*n - 52*n + 1570 for n. 19 Solve 0 = -112*m + 508 - 582 - 1270 for m. -12 Solve -11520 = -3519*b + 3263*b for b. 45 Solve 2618*v + 2871 = 2299*v for v. -9 Solve 171*l = 519004 - 534565 for l. -91 Solve 406*i - 20709 = -376*i + 251*i for i. 39 Solve 0 = 4754*d + 34980 - 36576 - 200306 - 145140 for d. 73 Solve 1410*i - 304*i + 21757 = -24695 for i. -42 Solve -5*m - 6*m + 77332 = 77662 for m. -30 Solve 47*n - n - 9*n - 400 = 21*n for n. 25 Solve -777*q = 788*q + 100160 for q. -64 Solve -628*p - 2688*p = -290*p - 118014 for p. 39 Solve 826*p - 885*p = -1947 for p. 33 Solve 4562*a + 532*a + 1433*a + 293715 = 0 for a. -45 Solve -684170*f + 203850 = -685680*f for f. -135 Solve -494*l + 630*l + 648*l - 9429 = 1547 for l. 14 Solve 142*q + 66*q = -10745 - 6021 + 3454 for q. -64 Solve 1047*p + 55890 = 13*p - p for p. -54 Solve -2009*d - 4420 = -1924*d for d. -52 Solve -1041*m + 27965 = 1702 - 1844 for m. 27 Solve 271*m + 337*m - 689 - 527 = 0 for m. 2 Solve -601*h + 395*h - 40610 + 136845 = 807*h for h. 95 Solve -132*h = -2633 + 5933 for h. -25 Solve -170*u + 32263 - 14454 - 8969 = 0 for u. 52 Solve 597 = -122*p - 5774 + 271 for p. -50 Solve -294*y - 177*y - 899*y - 14700 = -145*y for y. -12 Solve 107*l - 18444 = -432*l - 2093 + 35393 for l. 96 Solve -957649*z = -957449*z + 9200 for z. -46 Solve 197*j + 18160 = -551*j - 387*j for j. -16 Solve 1524079 - 1478241 = -533*b for b. -86 Solve 0 = 185*c - 21226 + 14011 for c. 39 Solve -4695*z + 18666 + 22899 = -1746*z - 20364 for z. 21 Solve 8*w - 52*w - 5152 = -165*w + 2834 for w. 66 Solve -856*j - 303*j + 23854 = -335*j - 19818 for j. 53 Solve 14*z - 20020 = -340*z - 31*z for z. 52 Solve -5351*w + 1356*w - 86881 + 135565 + 123101 = 0 for w. 43 Solve -897*b + 661*b = 1283*b + 19786 + 10594 for b. -20 Solve -1591*d = -11157 - 766 - 3987 for d. 10 Solve -206*g = -52*g + 66*g + 252*g - 6136 for g. 13 Solve 38354701 = -204*i + 38351233 for i. -17 Solve -253 = 47*d - 1677 - 550 for d. 42 Solve -3735*h + 2440 = -4955*h for h. -2 Solve 246*n = 171*n - 2850 for n. -38 Solve -86*y - 1178*y - 932*y - 143136 = 360*y for y. -56 Solve 7804*c + 808*c = 1045*c - 401051 for c. -53 Solve -145*y + 268*y = -4305 for y. -35 Solve -221114*l = -224743*l + 384674 for l. 106 Solve -31*z + 323 = -413 - 783 for z. 49 Solve 36*o - 24*o - 36*o - 1739 = 13*o for o. -47 Solve -5789*r + 2656*r = -109655 for r. 35 Solve -1732 = 139*r + 2491 + 1023 + 314 for r. -40 Solve 6105 - 10213 = -316*y for y. 13 Solve 580*a = -2792 - 34328 for a. -64 Solve 1726*r + 95544 = -22111 - 34233 for r. -88 Solve -273*a + 4121 + 3081 + 5591 - 2419 = 0 for a. 38 Solve 1876*x - 1098*x + 22562 = 0 for x. -29 Solve -78*a + 294*a - 937 = 2811 + 788 for a. 21 Solve -144*c = 4803 - 2771 + 2598 + 4010 for c. -60 Solve 512*u + 1007*u - 20722 = -27*u - 48*u for u. 13 Solve -717*z + 24997 - 43351 - 42222 = 1807*z for z. -24 Solve -509*o - 20756 - 4221 = 23471 - 2638 for o. -90 Solve 0 = -8*k + 123 - 19 + 123 + 29 for k. 32 Solve 167*m - 91*m + 1406 = 95*m for m. 74 Solve -125087 = 1634*f + 465*f - 343383 for f. 104 Solve -404*z - 264*z + 112*z = 12788 for z. -23 Solve 81264 = 3176*k + 276*k - 66*k for k. 24 Solve -28077*f + 57126*f - 28367*f = 79794 for f. 117 Solve -46*j - 198*j - 8346 = -78*j + 155*j for j. -26 Solve 0 = -5902*v + 7100*v + 65890 for v. -55 Solve -57*c - 2320486 = -2321056 for c. 10 Solve -82*m + 518703 = 3914*m + 677*m for m. 111 Solve -352*u - 97*u = -6735 for u. 15 Solve 8770 + 10726 = -38*i - 197*i - 5649 for i. -107 Solve -1516*g + 119424 = 972*g for g. 48 Solve -56*i - 5410 = 81*i + 618 for i. -44 Solve 0 = -75*t - 8*t - 540*t - 5607 for t. -9 Solve 487*o + 144*o + 112*o - 27587 = 5105 for o. 44 Solve -355*q = -172*q - 218*q + 210 for q. 6 Solve -1458 = -228*i + 1334 + 400 for i. 14 Solve 14*k + 327 = 593 for k. 19 Solve 15*a + 763 + 449 = -18*a - 42 for a. -38 Solve 469*s + 1737 - 4551 = 0 for s. 6 Solve -1881*r - 7748*r + 222376 = 3868*r - 182534 for r. 30 Solve 5022*x - 38430 = 6303*x for x. -30 Solve -315452*x + 315480*x - 1092 = 0 for x. 39 Solve -2901*d = -4163*d + 15144 for d. 12 Solve 39*s - 763 = -14*s - 100*s - 12391 for s. -76 Solve 905*i + 13918 + 5098 = -676*i + 4787 for i. -9 Solve -71762 = 65*g - 67732 for g. -62 Solve -2129*w + 27469 = 85672 + 18441 for w. -36 Solve 73*f + 46*f - 2216 = 5400 for f. 64 Solve 93*s - 26*
{ "pile_set_name": "DM Mathematics" }
= 5 + 0. Suppose 3*p = 5*x - 4, 2*x = 3*x + h*p - 12. Determine g(x). -5 Let t(a) = a**3 - 8*a**2 + 3. Let b be t(8). Let k(f) = -7 + 10 - 4*f**b + 5*f**3 - f. Determine k(0). 3 Let a(d) = d**2 + 3*d - 14. Let z(w) = 2. Let l(n) = a(n) + 3*z(n). Calculate l(-6). 10 Let y = 21 - 19. Let s be (y - 4/2)/(-1). Let u(i) = -i - 6. Give u(s). -6 Let o be -9 - 6*(-5)/(-10). Let t = 14 + o. Let g(w) = w - 3*w**2 + 1 + 3 - 2. Determine g(t). -8 Let j be ((-48)/(-20))/((-16)/40). Let m(f) = 5*f - 10. Let v(u) = 6*u - 11. Let r = -18 - -25. Let z(g) = j*v(g) + r*m(g). Calculate z(6). -10 Let n(s) = 14*s**2 + 50*s - 22. Let u(c) = 5*c**2 + 17*c - 7. Let x(t) = -6*n(t) + 17*u(t). Let f = 2923 - 2914. What is x(f)? -5 Let h(s) be the third derivative of 6*s**2 + 0 - 1/6*s**4 + 1/2*s**3 + 0*s. Suppose 2*k + 3 = 7. What is h(k)? -5 Let t(c) = c**3 + 5*c**2 + 2*c - 2. Let s(p) = -3*p**2 - 12*p - 12. Let h be s(-3). What is t(h)? 10 Let h(i) = -i**2 + 4*i + 13. Suppose -14 = -z + 4*s, -4*z + 6*z + 5*s - 2 = 0. Give h(z). 1 Suppose d = -2*g + 1, -3*g + 2*d + 21 = -3*d. Let y(h) = 2*h - g*h + 0*h - 2*h - 1. Suppose -9 = -10*w + 11. Calculate y(w). -5 Let c(m) = 11*m - 85. Let q be c(8). Let y(l) be the third derivative of 0*l - 5/24*l**4 + 0 - 1/120*l**6 + q*l**2 - 1/10*l**5 + 7/6*l**3. What is y(-5)? 7 Let t = 6 + -3. Let d(l) = -2*l + t*l - 2*l. Let i(k) = 3*k**2 + 14*k - 83. Let f be i(-8). Calculate d(f). 3 Let j(v) = v**3 + 6*v**2 - 6*v + 3. Let x(d) = 60*d**2 - 3*d + 1. Let t be x(1). Suppose -t*w = -63*w - 35. Give j(w). -4 Let g = 24 - 19. Suppose 4*h - 30 = 5*k - 2*k, g*k = 5*h - 40. Let l(a) = -2*a - 8. Give l(h). -20 Let f(d) = 9*d**2 - 3*d - 1. Let l(t) = -t**3 - 13*t**2 - 12*t - 2. Let w be l(-12). Calculate f(w). 41 Let a(w) = -w**3 + 6*w**2 - 2*w + 3. Let d(p) = -p**2 + p - 1. Let t(o) = a(o) + 2*d(o). Suppose -4*g - u + 13 = 0, 4*u + 10 = g - 6. Calculate t(g). 1 Let w(h) = 13*h**3 + h**2 + 5*h + 20. Let m(z) = 28*z**3 + 2*z**2 + 11*z + 40. Let s(o) = 6*m(o) - 13*w(o). Let c be (-2)/(-4)*(-1 - -1). Determine s(c). -20 Let y = 553 + -551. Let f(n) be the third derivative of 2/3*n**3 + 0 + 0*n + 1/15*n**5 - 1/120*n**6 + n**y - 1/12*n**4. Give f(4). -4 Let l(z) = -z + 1. Let p(j) = 13*j**2 - 6*j**2 + 4*j**2 + j**3 - 4 + 10. Let s be p(-11). Let b(x) = -x + 1. Let c(k) = s*b(k) - 5*l(k). Determine c(-6). 7 Suppose -6*n + 5312 = 290. Let w(s) = -835*s + n*s + 2 - 2. Give w(3). 6 Let x be 12/30 - (-39)/15. Let r(v) = 1 - x - 28*v + 30*v. Let s = -2 - -5. Give r(s). 4 Let u(d) = -16*d - 1. Let z(o) = -14*o - 3. Let h(j) = 5*u(j) - 6*z(j). What is h(-6)? -11 Let x(c) = c**2 + 2*c - 2. Let f(d) = 4*d - 2 - 4*d - 2 - d**2. Let z be f(3). Let r = -16 - z. Determine x(r). 1 Let t(x) be the third derivative of -7/3*x**3 - 1/24*x**4 + 0*x + 0 + x**2. Determine t(-7). -7 Let c(k) be the first derivative of 16*k**2 - 3*k + 83. Calculate c(1). 29 Let j(b) = b**2 + 8*b + 2. Suppose -5*v + 5 = 2*q - 0, 0 = -3*q - 15. Let p(o) = 3*o**2 - v*o**2 - 2*o**2 - 4 - 2*o + o**2. Let g be p(-3). Give j(g). -5 Let w(p) = -7*p**3 + 4*p**2 + 11*p + 10. Let r(c) = -19*c**3 + 13*c**2 + 32*c + 28. Let t(m) = 4*r(m) - 11*w(m). Determine t(-7). 2 Let b(u) = 5*u + 11. Let k = 939 + -944. Determine b(k). -14 Suppose 33*o - 14*o - 38 = 0. Let s(z) = 2*z**2. Calculate s(o). 8 Suppose -3*f - 13 + 61 = -4*j, j - 43 = -2*f. Let c(z) = z**3 - 21*z**2 + 20*z + 3. Calculate c(f). 3 Let i(y) = y**3 + 16*y**2 + 15*y + 16. Suppose -30 = 3*g + 5*x, 0 = -2*g - 0*x - 2*x - 24. Give i(g). 16 Let i(o) = -7*o + 4. Suppose -27*s + 63 = 9. Determine i(s). -10 Let m = 126 - 121. Suppose -m*b - 5 = -2*y, y + b + 3 = 9. Let q(h) = -h**3 + 4*h**2 + 7*h - 7. Give q(y). 3 Let d = -25 - -16. Let f be 2/9 - 25/d. Suppose 3*m - 20 = -n, 2*n + 3 = f*m - 2. Let r(h) = -h - 1. Determine r(m). -6 Let s(l) = l**3 - 10*l**2 - l. Let w be s(10). Let h = 22 + w. Let p = 16 - h. Let i(n) = n - 4. What is i(p)? 0 Let r = 254 - 250. Let d(t) = t**3 - t**2 - t. Determine d(r). 44 Let f(n) = 2*n**2 + 6*n - 5. Let s be f(-5). Let z = s + -11. Let u(m) be the first derivative of m**2/2 + 31. Give u(z). 4 Let m be (-7)/2*((-48)/1)/1. Let n = 172 - m. Let c(r) = r**3 - 2*r**2 - 4*r + 6. What is c(n)? 22 Let a(q) = 118 + 7*q + 0*q**2 + q**2 - 112 - 3*q + 6*q. Calculate a(-9). -3 Let t(k) = 27*k**2 + 1. Let s be ((-21)/42)/((-2)/4). What is t(s)? 28 Let z(m) = m**3 - 9*m**2 + 11*m + 5. Let v(j) = j**3 - 2*j**3 + 4*j**2 - 70 + 3*j + 66. Let a be v(4). What is z(a)? 29 Let q(z) = z**3 - z + 8. Let w(v) = v + 3. Let r be (-64)/(-7) + 1/(-7). Suppose a = 4*a + r. Let s be w(a). Calculate q(s). 8 Let p(k) = -3*k**3 - 2*k**2 + k. Let q be 480/(-18)*54/(-15). Let f = 94 - q. Calculate p(f). 14 Suppose -4*x = 4*c + 20, -c = -4*x + 8*x + 20. Let t(o) = -o**3 - o**2 - 7. Give t(c). -7 Let m(n) = 9*n + 7*n + 7*n - 27*n - 16. Calculate m(-5). 4 Let z be (-3)/(-3) + (-3)/(-1). Let s(x) = 345 + x + 3*x + 4*x**2 - 343 - x**3 - 3*x. What is s(z)? 6 Let k = -6 + 14. Let n(b) = b - 6. Let h be n(k). Let x(q) = -1 - 9*q**3 - 7*q**2 - 2*q - h - 6*q + 10*q**3. Give x(8). -3 Let m(y) = -2 - 3*y + 6 + 0. Let c(l) = 7*l - 8. Let u(q) = -4*c(q) - 9*m(q). Let f = -14 + 10. Give u(f). 0 Let j(w) = -w**2 + 5*w + 2. Let g(b) be the first derivative of 4*b**3/3 - 10*b**2 - 7*b - 2. Let l(h) = 2*g(h) + 9*j(h). Determine l(6). -2 Let x(m) = -7*m**3 + 17*m**2 - 2*m - 7. Let n(d) = -12*d**3 + 34*d**2 - 3*d - 14. Let o(i) = 3*n(i) - 5*x(i). Calculate o(17). 10 Let v = 50 + -45. Let n(u) = -5*u**3 - 12*u**2 + 9*u + 5. Let d(m) = -m**3 - m**2 + m + 1. Let g(c) = 6*d(c) - n(c). Determine g(v). 11 Let z(p) = -5*p**3 + 13*p**2 - 19*p - 13. Let g(a) = -2*a**3 + 6*a**2 - 9*a - 6. Let f(t) = 7*g(t) - 3*z(t). Let s = 9 - 15. Let u = 2 + s. What is f(u)? 5 Let p(h) = -h + 9. Suppose -4*y - 2*j = -6 + 46, -4*y - 44 = 3*j. Calculate p(y). 17 Let t(w) be the first derivative of 1/4*w**4 + 3*w**2 - 9 + 7/3*w**3 + 9*w. Calculate t(-6). 9 Let g = 198 + -196. Let l(y) = -y - 1. Let i be l(-4). Let k(a) = a**2 + 3*a - 5. Let d(c) = -2*c**2 - 3*c + 6. Let b(m) = g*d(m) + i*k(m). Calculate b(2). -1 Let v(n) = -2 + 2*n - n + 0. Let l be 35/(-980) + (-2)/8 - (-2)/7. Calculate v(l). -2 Let b(v) = v**2 - 5*v - 1. Let o(t) = -t**2 + 4*t - 3. Let z(h) = 3*b(h) + 4*o(h). Calculate z(0). -15 Let w(v) be the first derivative of -v**2/2 + 8*v + 23. Let i(a) = 7. Let t(o) = -3*i(o) + 2*w(o). Calculate t(6). -17 Let t(k) = -14*k + 5. Let x(q) = -q**2 - 37*q - 184. Let c be x(-31). What is t(c)? -23 Let k(s) be the third derivative of s**4/3 - s**3/6 - 23*s**2 - s. Determine k(-3). -25 Let u be ((-17)/(-2))/((-1)/30). Let v be ((-2)/(-6))/(17/u). Let p(g) = -g + 5. What is p(v)? 10 Let x(j) = -j**3 + 7*j**2 - 6*j - 5. Suppose 3*s - 31 - 13 = -d, -5*d - 46 = -4*s. Let u = 20 - s. Determine x(u). -5 Let f(a) = a**2 - 15*a + 28. Let g be f(13). Let n(q) = g + 7*q**2 + 3*q**3 - 15*q**2 + q + 4*q**2 - 4*q**3. Determine n(-4). -2 Suppose -2*p - 5*h + 8 = 0, -p - 2 = 2*h - 7. Suppose 3*b - 4*l = 12, 4*b + p = -0*l - 3*l. Suppose b = -4*i - 10 - 2. Let a(n) = n**2 + 2*n + 3. What is a(i)? 6 Let l(n) = 5*n**2 - 6*n - 10. Let a(u) = 2*u**2 - 3*u - 5. Let t(b) = 7*a(b) - 3*l(b). Calculate t(-5). -15 Suppose 2*s + 11 = s - 3*r, -3*r = -s + 1. Let j(q) = q + 4. Calculate j(s). -1 Let z(a) = 25*a - 547. Let n(i) = -12*i + 243. Let s(o) = 9*n(o) + 4*z(o). Suppose -2*t = -2*r - 6, 0 = 3*r - 4*t - 2 + 15. Give s(r). -9 Let v(c) be the first derivative of c**3/3 - 2*c - 105. Determine v(-3). 7 Let h(c) = c**2 - 4*c + 2. Let n(i) = i**3 - 4*i**2 - 6*i - 4. Let r be n(5). Let f be 4/(-3)*r/2. Let l be f + (-1 - (3 + -3)). What is h(l)? 7 Let a(k) = 48*k - 103*k + 3 + 54*k - k**2. Suppose 4*t + 15 = -3*u, -3*t - 2*u = 2*t + 17. Give a(t). -3 Let w(p) = -p + 3. Let q be ((-3)/3*2)/(0 + 2). Let g be w(q). Let f(h) = 4*h - 2. Give f(g). 14 Let r(y) = 1 + 6 - 6 + 4*y. Let d = 38 + -41. Give r(d). -11 Suppose -3 = -5*p + 7. Let n(t) = -2*t - t**2 + t + t**3 - 1 - t + 0*t**p. Let u(l) = l**3 + 9*l**2 + 8*l + 3. Let w be u(-8). Determine n(w). 11 Let k(l) = -l - 23. Let f(r) = 2*r**2 + 28*r + 82. Let b be f(-6). Determine k(b). -9 Let w(q) = 3*q + 3. Let m(v) = 4 - v**3 - 8*v**2 - 6 - 7*v + v**2 - 6. Let i be 5/((-15)/9)
{ "pile_set_name": "DM Mathematics" }
irst derivative of -2*p**2 - a*p**4 + 2*p**2 - 5 + 196*p**4 wrt p. -36*p**3 Suppose -3*z = -51 - 6. Suppose z = w + 5*m, m + 0*m - 7 = -w. What is the second derivative of 6*c**4 + 5*c**5 + c - 6*c**w wrt c? 100*c**3 Let j(u) = -20*u**4 - 8*u**3 - 6*u - 1. Let v(r) = -39*r**4 - 15*r**3 - 12*r - 1. Let s(h) = 11*j(h) - 6*v(h). What is the second derivative of s(t) wrt t? 168*t**2 + 12*t Let x(f) = -f + 3. Let p be x(1). What is the third derivative of -6*o**6 - 9*o**2 + 2*o**6 + 24*o**p + o**6 wrt o? -360*o**3 Let q(s) be the second derivative of -15*s + 0*s**2 + 0*s**3 + 2/5*s**5 + 0 - 3/2*s**4. Find the third derivative of q(j) wrt j. 48 Find the second derivative of -48*n - 2965*n**5 + 2936*n**5 - 5*n + 1 - 5*n**4 wrt n. -580*n**3 - 60*n**2 Let c(z) = -z**2 - 1. Let r(h) = -2*h**2 - 5. Let y(m) = -17*c(m) + 6*r(m). Differentiate y(f) wrt f. 10*f Let k(o) be the third derivative of 2*o**7/15 - o**4/4 - 293*o**3/6 - 501*o**2. Differentiate k(r) with respect to r. 112*r**3 - 6 Find the third derivative of -2*b**3 + b**2 - 24*b**2 + 23*b - 162*b**5 + 2*b**3 - 26*b wrt b. -9720*b**2 Let a(d) = d**2 - d - 1. Let p be a(-2). Let y(q) = q**3 - 2*q**2 - 2*q + 2. Let l be y(3). What is the derivative of 2*s**3 - 2 - p*s**3 + l*s**3 wrt s? 6*s**2 Let c(t) be the second derivative of 0*t**4 + 0 + 0*t**3 - 23/20*t**5 - 11*t + 9/2*t**2. What is the first derivative of c(o) wrt o? -69*o**2 Let d(m) be the third derivative of -53*m**7/30 - 81*m**5/20 + 35*m**2 - 2. What is the third derivative of d(z) wrt z? -8904*z Let w(p) = -57*p**3 + 2*p**2 - 7*p - 2. Let h(b) = b**3 - b**2 - b + 1. Let l(n) = -2*h(n) - w(n). What is the second derivative of l(v) wrt v? 330*v What is the first derivative of 177*i**2 - 30*i**3 - i - 86*i**2 - 91*i**2 - 52 wrt i? -90*i**2 - 1 Let r(n) = 17*n**4 + 3*n**2 + 100*n - 3. Let b(j) = -2*j**4 - j**3 - j**2 - j + 1. Let l(g) = 3*b(g) + r(g). Find the second derivative of l(h) wrt h. 132*h**2 - 18*h Let b be (1 - 1)*17/68. Let x(g) be the first derivative of 1 + b*g + g**3 + 1/2*g**2. What is the second derivative of x(z) wrt z? 6 Let u(m) be the second derivative of -25/12*m**4 + 0 + 0*m**2 - 19/30*m**6 + 24*m + 0*m**3 + 0*m**5. Find the third derivative of u(n) wrt n. -456*n What is the first derivative of -70 + 0*u**2 + 15*u - 13 + 2*u**2 - u**2 wrt u? 2*u + 15 Let x be (-9)/(-5 - -2) - -4. Let y = 3 + x. What is the derivative of 7 - n**3 + 2*n**3 - y wrt n? 3*n**2 Suppose -h - 5*a + 15 = -a, h = 3*a - 6. What is the derivative of -h + 6 - 12*f - 20*f + 4 wrt f? -32 Let r(h) be the first derivative of -3*h**7/70 - 5*h**3/6 + 13*h**2/2 - 15. Let f(z) be the second derivative of r(z). Find the first derivative of f(o) wrt o. -36*o**3 Find the third derivative of 11*r**2 + 20*r**2 + 15*r**2 + 46*r**3 - 2*r**4 - 2*r**2 wrt r. -48*r + 276 What is the third derivative of 7*p**3 - 12*p**3 + 77*p**3 - 50*p**2 + 14*p**3 - 19*p**2 wrt p? 516 Suppose 2*u = -10, -u + 3*u + 58 = 3*d. Find the second derivative of 153 - d*c - 153 + 39*c**3 wrt c. 234*c Let r(h) be the second derivative of -71*h**4/12 + h**3/3 - 70*h**2 - 274*h - 1. Find the second derivative of r(i) wrt i. -142 Let q(a) = 9*a + 4. Let r(t) = -17*t - 8. Let w be (-56)/(-6) - 4/(-6). Suppose 23 + w = 3*f. Let y(m) = f*q(m) + 6*r(m). What is the derivative of y(l) wrt l? -3 Suppose -3 = -5*x + 7. What is the first derivative of -x*d - d + 2*d + 3 wrt d? -1 Let h(o) be the third derivative of 19*o**6/24 + 31*o**3/2 - 22*o**2 + 4. What is the first derivative of h(c) wrt c? 285*c**2 Let i(a) = -10*a + 15. Let g = 66 + -68. Let t(s) = s - 1. Let w(p) = g*t(p) - i(p). Find the first derivative of w(v) wrt v. 8 Suppose -48*m = -50*m + 6. Let z(v) be the second derivative of 0*v**4 + 3/20*v**5 + 2*v + 0*v**2 - 1/6*v**m + 0. What is the second derivative of z(j) wrt j? 18*j Let n = -34 + 34. Find the second derivative of 0*v**2 + n*v**2 - v**5 + v + 0*v**2 wrt v. -20*v**3 Let f(m) be the first derivative of -3/2*m**2 + 47 + 3/5*m**5 + 0*m**3 + 50*m + 0*m**4. Differentiate f(k) with respect to k. 12*k**3 - 3 Let c(w) be the first derivative of -13/3*w**3 + 6*w + 0*w**2 - 9. What is the derivative of c(f) wrt f? -26*f Let f be ((-16)/20)/(1/(-30)). Let w = f + -21. Find the third derivative of -11 - 9 - 13*t**w + 20 - 6*t**2 wrt t. -78 Let n(v) be the first derivative of 3*v**6 - v**4/2 - 32*v**2 + 42. What is the second derivative of n(b) wrt b? 360*b**3 - 12*b Let c(j) be the third derivative of 29*j**5/30 - 403*j**4/24 + 317*j**2. What is the second derivative of c(h) wrt h? 116 Let y(j) = -495*j**3 - 282*j**2 - 4*j - 4. Let f(h) = -h**3 + h + 1. Let m(v) = 4*f(v) + y(v). What is the third derivative of m(x) wrt x? -2994 Let h(l) be the third derivative of 2*l**5/5 + 103*l**3/3 - 198*l**2. Differentiate h(v) wrt v. 48*v Let t(d) be the third derivative of 0 - 8*d**2 + 0*d - 1/6*d**5 - 5/24*d**4 + 0*d**3. Find the second derivative of t(z) wrt z. -20 Let h(b) be the second derivative of 0*b**2 + 0 + 31/42*b**7 + 29/6*b**3 + 0*b**5 + 0*b**6 + 0*b**4 - 6*b. Find the second derivative of h(l) wrt l. 620*l**3 Let t(i) = i + 3. Let q be t(0). What is the first derivative of 3 + n**3 + 7*n**3 + 15*n**3 + 0*n**q wrt n? 69*n**2 Let x(z) be the second derivative of -2*z**7/21 + z**5/10 - 253*z**3/6 - 94*z. Find the second derivative of x(j) wrt j. -80*j**3 + 12*j Let l(s) = -2*s**4 - 5*s**3 - 5*s**2 - 7*s - 25. Let r(o) = o**4 + o**3 + o**2 + o. Let h(g) = l(g) + 5*r(g). What is the derivative of h(i) wrt i? 12*i**3 - 2 Let o(k) = -325*k**4 + 8*k**3 + 681. Let q(h) = 975*h**4 - 26*h**3 - 2043. Let w(t) = -13*o(t) - 4*q(t). Differentiate w(v) wrt v. 1300*v**3 Find the first derivative of 24*b**2 + 14*b**2 + 48 + 11*b**2 + 166 wrt b. 98*b Let i(d) = 129*d - 1. Let z(s) = 131*s - 2. Let a(c) = -5*i(c) + 4*z(c). What is the derivative of a(v) wrt v? -121 Let b(c) = -5*c**3 - 5*c**2 - 4*c - 58. Let h(o) = -4*o**3 - 4*o**2 - 3*o - 57. Let z(l) = 3*b(l) - 4*h(l). What is the first derivative of z(t) wrt t? 3*t**2 + 2*t Let k(m) = -m**2 - 17*m - 21. Let u be (-56)/98 + (-115)/7. Let n(g) = 6*g + 7. Let b(h) = u*n(h) - 6*k(h). What is the first derivative of b(w) wrt w? 12*w What is the third derivative of 83*d**3 + 67*d**2 - 122*d**2 + 2 + 75*d**2 wrt d? 498 Let l(t) be the first derivative of 0*t - 1/5*t**5 + 5/2*t**4 - 11 - 4*t**3 - 3/2*t**2. What is the third derivative of l(k) wrt k? -24*k + 60 Let h(z) be the third derivative of z**8/240 + 3*z**5/20 + z**4 - 28*z**2. Let y(t) be the second derivative of h(t). Differentiate y(p) wrt p. 84*p**2 Let b = 13 + -11. Suppose 0 = b*r + 4*y - 52, -2*r = -2*y - 17 - 11. What is the first derivative of -20*q**3 + 4 - 1 + r*q**3 wrt q? -6*q**2 Suppose -85 = 14*n - 85. Let x(p) be the second derivative of 7/20*p**5 - 5/12*p**4 + 0 + 0*p**3 - 2*p + n*p**2. What is the third derivative of x(l) wrt l? 42 Let m(n) = 39*n + 3. Suppose -4*l + 44 = 12. Suppose -2*i + l = 16. Let r(o) = 10*o + 1. Let y(z) = i*m(z) + 15*r(z). Differentiate y(v) with respect to v. -6 Let y(t) be the second derivative of 0 + 0*t**2 + 7/5*t**5 + 26*t + 0*t**4 + 9/2*t**3. What is the second derivative of y(j) wrt j? 168*j Let x(v) be the third derivative of -11/30*v**5 + 0*v**3 + 7*v**2 + 0*v**4 + 0*v**6 + 0 + 13/105*v**7 + 0*v. Find the third derivative of x(n) wrt n. 624*n Suppose 5*z = -2*v + 82, 8*v - 128 = 4*v - z. Let g = v + -18. Find the first derivative of 3 - g + 3*p**3 - p**3 wrt p. 6*p**2 Find the second derivative of -154*w - 185*w**2 + 150*w + 188*w + 99*w + 4*w**2 wrt w. -362 Suppose m = 2*m. Suppose m = 3*b - 4 - 2. Find the third derivative of 3*f**b - f**2 - 5*f**6 + 2*f**2 wrt f. -600*f**3 Let r(i) be the second derivative of 0*i**2 + 9*i + 0*i**3 - 4/5*i**5 + 0 - 7/12*i**4. Find the third derivative of r(l) wrt l. -96 Let v(y) = -54*y**3 - 3*y**2 - 4*y - 7. Let c(g) = 53*g**3 + 3*g**2 + 6*g + 8. Let k(n) = 2*c(n) + 3*v(n). Find the third derivative of k(f) wrt f. -336 What is the second derivative of -10*b**4 - 5*b**4 - 139*b**4 + 90*b wrt b? -1848*b**2 Let h be (-70)/(-15)*(0 - -6). Let g = h - 23. What is the third derivative of -32*x**g - 12*x**2 + 66*x**5 - 30*x**5 wrt x? 240*x**2 Let z(t) = 80*t**3 - 651*t**2 + 8*t - 4. Let w(p) = 161*p**3 - 1300*p**2 + 14*p
{ "pile_set_name": "DM Mathematics" }
46. Let p be 4/(-14) - w/35. What is the tens digit of -4 + p + 49 - 0? 5 Suppose 261*b = 217*b + 225016. What is the thousands digit of b? 5 Suppose 0 = 4*c - 7*c. Suppose z - 39 = -5*q, -5*z + q + 65 = -0*q. Suppose c = x + 13 - z. What is the units digit of x? 1 Suppose -43656 - 81896 = -38*x. What is the tens digit of x? 0 Let p = -86 - -213. Suppose -6*d + p = -317. What is the tens digit of d? 7 Let p(n) be the third derivative of 31*n**4/6 - 35*n**3/6 + n**2 - 12. What is the tens digit of p(5)? 8 Suppose -1464 = -v - 4*z, 2*v - 3*v + 4*z = -1512. What is the tens digit of v? 8 Let d(c) = -2*c**3 - 27*c**2 - 29*c - 23. What is the hundreds digit of d(-13)? 1 Let x be (6818/28)/(1/(-6)). Let h = -637 - x. What is the units digit of h? 4 Suppose 0 = -2275*t + 2270*t - 4*p + 222298, -t = -2*p - 44454. What is the thousands digit of t? 4 Suppose -2*a + 7 = u, 3*u = -3*a - u + 13. Suppose -4*d - 2*v + 5 = -a, -2*v = 2*d - 8. Suppose d = 11*b - 12*b + 72. What is the units digit of b? 2 Let z = 4753 + 3053. What is the tens digit of z? 0 Let i(r) be the second derivative of r**5/20 - 5*r**4/6 - 13*r**3/6 - 8*r**2 - 24*r - 1. What is the tens digit of i(14)? 8 Let a(s) = 6*s**2. Let y be a(-1). Let n(i) = 4 - i - y*i - i**2 - 19 - 14*i. What is the tens digit of n(-14)? 8 Suppose -2*j + 4*q + 224 = 0, q - 6*q = -j + 121. Suppose g = -5*t + 11 + 10, 2*t = 4*g - j. What is the units digit of g? 6 Let h(p) = 261*p**2 + 295*p + 25. What is the units digit of h(12)? 9 Let a(b) = b**3 - 9*b**2 + 19*b + 4. Let p be a(4). Suppose -2 = 2*w, p = -3*q + 6*q - 5*w - 98. What is the tens digit of q? 3 Let j(l) = 4*l**2 - 8*l + 20. Let y be j(-10). Let g be 1/(y/(-124) + 4). What is the hundreds digit of (-12)/(2 - g/(-15))? 1 Suppose -1346*t - 437570 = -1384*t. What is the hundreds digit of t? 5 What is the units digit of (-1058)/((0 + 4/8)/(1/(-4)))? 9 Let c be 0/(-2)*13/(-26). Suppose w + 10 - 10 = c. What is the tens digit of ((-1)/(-2) - w)*92? 4 Let n(x) = -2*x**2 - 30*x - 78. Let p be n(-11). Suppose p*m = 4*m + 1584. What is the hundreds digit of m? 2 Suppose 40*q - 506668 = -9*q - 92765. What is the tens digit of q? 4 Let t(r) = -414*r - 12. What is the tens digit of t(-2)? 1 Suppose -5*i + 24 = 29. Let q be (2 - i)/(-4 - (-1125)/281). Suppose 17*k - 4158 + q = 0. What is the tens digit of k? 9 Let o(h) = -h**3 + 27*h**2 - h + 20. Let b be o(27). Let r be 1*3 + (b - -8). Suppose r*v - 19 = 505. What is the tens digit of v? 3 Let a(u) = 90 - 14*u**2 - u + 3*u + 10*u**2 + 0*u. Let l be a(0). Let k = l - -162. What is the units digit of k? 2 Let c(t) be the second derivative of 11*t**4/12 + 7*t**3/6 + 23*t**2/2 + 6*t + 4. What is the units digit of c(-6)? 7 Let j be 18*(497/(-21) - -5). Let k = j + 403. What is the tens digit of k? 6 Let r(w) = -w**3 + 17*w**2 - 13*w + 16. Let f be r(16). Suppose 0 = -y + p + f, 231 = 4*y - 4*p + 5*p. Suppose -y - 79 = -2*u. What is the tens digit of u? 6 Suppose 0 = 4*l - q + 52, 1 = q - 3. What is the thousands digit of 1841 - (0/1)/(l - -10)? 1 Let x(w) = 3*w + 16. Let q(o) = -o - 8. Let p(f) = 5*q(f) + 2*x(f). Let l be p(16). What is the units digit of l/14*91/26? 2 Let z(n) = -34*n - 2. Suppose 0 = -p + 2*x - 10, -7 - 3 = -5*p - 2*x. Suppose p = 3*c + 3*b + 15, 0*b = -5*c + 2*b - 25. What is the tens digit of z(c)? 6 Suppose 0 = -2*c - 2*c - 5*r + 45215, 2*c = -5*r + 22605. What is the tens digit of c? 0 Suppose -2*n = 5*f - 1 - 1, -3*n = -2*f - 22. Let p(u) = -u + 10. Let g be p(n). Suppose 3*c = 3*l + 108 - 18, g*c + 3*l = 127. What is the tens digit of c? 3 Let r be (-12)/66*-11 - (-2)/2. Suppose 34*w = 30*w + 4*s + 376, 282 = r*w - s. What is the tens digit of w? 9 Suppose -2*s + 26834 = -2*t, 54*s = 53*s + 3*t + 13413. What is the hundreds digit of s? 4 Suppose -5*l - 16 = 3*l. Let f(k) = -47*k - 6. What is the tens digit of f(l)? 8 Let c(h) = h**2 - 76*h - 29 - 42 + 99*h + 17. Let m be c(-25). What is the tens digit of 144 - (m - -4)*(-3)/(-9)? 4 Let h = 105184 + -73825. What is the ten thousands digit of h? 3 Let b(n) = 9*n**2 - 6*n - 35. Let v be b(24). What is the hundreds digit of 1/(-2)*(v/(-7) + -9)? 3 Let c(j) = 2*j + 14*j**2 - 4*j**2 - 8*j**2 - 3 - 4*j. Let v be c(-2). Let m = v - -66. What is the tens digit of m? 7 Suppose -19*t = -23*t + 3*h + 43044, t = 2*h + 10766. What is the thousands digit of t? 0 Let f(g) be the first derivative of 46*g**2 + 17*g - 1. Suppose 78*k + 34 = 95*k. What is the hundreds digit of f(k)? 2 Suppose n + o = 1080, -4*n = o - 6*o - 4329. Let b = n - 640. What is the units digit of b? 1 Let z be (-2)/8 + (-17)/(-4). Let s be 176/72 - 8/18. Suppose 0 = -s*h - 4*f + 258 - 78, -z*h = -5*f - 360. What is the tens digit of h? 9 Let a(c) be the third derivative of -c**4/24 + 39*c**3/2 + 70*c**2. What is the units digit of a(7)? 0 What is the thousands digit of ((38724/2)/2)/((-1)/(-5)*5)? 9 Let l = 716 + -413. Let v = -238 + l. What is the tens digit of v? 6 Let p = 8 - 13. Let w(m) be the second derivative of m**4/3 - 5*m**3/6 + 8*m**2 + 36*m. What is the hundreds digit of w(p)? 1 Let o = 33 - -43. Let x(d) = -5*d + 19. Let r be x(3). Suppose b = 2*s + o, r*b + 278 = 7*b + 4*s. What is the tens digit of b? 8 Let a(x) = -104*x + 11. Let v be a(3). Let q = v + 570. What is the tens digit of q? 6 Let c(u) = -24*u - 7 - 2*u**2 + 13*u**2 + 25*u. What is the tens digit of c(-6)? 8 Let p(f) = -15714*f**3 - 5*f**2 + 5*f + 8. What is the units digit of p(-1)? 2 Let u(l) = -4*l - 38. Suppose k = 4*f + 86, -2 = -2*k + 2. What is the units digit of u(f)? 6 Let r be (17*-35)/(-5) + 4. Let z = -30 - r. Let g = z + 242. What is the units digit of g? 9 Let m(o) = 72*o**2 + 40*o - 162. What is the units digit of m(7)? 6 Let p(m) = -15*m + 27. Let j(i) = 2*i**2 - 33*i + 6. Let g(n) = 2*n**3 - 27*n**2 - 15*n + 30. Let v be g(14). Let c be j(v). What is the units digit of p(c)? 7 Let k = -155 - -161. Suppose -12*b + 828 = k*b. What is the tens digit of b? 4 Let k(i) = -7*i**2 + 24*i - 34. Let v(c) = -9*c**2 + 26*c - 33. Let g(u) = 4*k(u) - 3*v(u). What is the units digit of g(10)? 3 What is the hundreds digit of 5084469/189 - -14 - (-2)/42? 9 Suppose -126 = 7*t - 672. Suppose a - t = -66. Suppose -a = -3*r, q + 3*r - 16 - 7 = 0. What is the units digit of q? 1 Let t(a) = -a**3 + 18*a**2 - 15*a + 37. Let p(s) = -s**3 + 9*s**2 - 6*s - 6. Let f be p(9). Let v = -43 - f. What is the units digit of t(v)? 1 Suppose 0 = 37*j + 13843 + 58011. Let v = j - -3322. What is the tens digit of v? 8 Suppose 0 = -4*z + 3*z + 42. Let k(s) = -s**2 + 45*s + 90. What is the hundreds digit of k(z)? 2 Let o(p) = 2225*p + 2072. What is the tens digit of o(6)? 2 Let i = -28555 + 18263. What is the units digit of i/(-26) + (-22)/(-143)? 6 Suppose 4*p - 2 = d, 0 = 10*d - 8*d + 3*p - 18. Suppose 0 = -2*a - d*a + 32. Suppose r = 3, 5*i + a*r - r - 14 = 0. What is the units digit of i? 1 Suppose -3*j + 3*h + 197 = 2*j, 5*h = 4*j - 155. Let u = j - 32. What is the tens digit of 1/(u/(-20)*2/(-12))? 1 Let p = -179583 + 252482. What is the ten thousands digit of p? 7 Let l = 15 - 24. Let u be 6 + l - (-2 - 5). What is the units digit of (14/21*-3)/(u/(-62))? 1 Let c = 45012 - 27415. What is the ten thousands digit of c? 1 Suppose -13*w + 44 - 18 = 0. What is the tens digit of (-1287)/55*(-20)/w? 3 Let b be (3/4)/((-1)/(-4)). Suppose 3*o - 3 - 9 = k, -k - b = 0. Suppose r + o*t - 44 = 203, -5*r + t + 1187 = 0. What is the tens digit of r? 3 Suppose 20*r - 2140 = -1960. Let o = -9 - -6. What is the tens digit of ((465/r)/(-5))/(1/o)? 3 Let o be -2764*((-30)/(-24) + -1). Let a = o - -1254. What is the hundreds digit of a? 5 Let k = 135 - 131. Suppose k*j = -u + 355, 0 = u - 3*j - 235 - 141. What is the tens digit of u? 6 Suppose -37900*d + 5343540 = -37826*d. What is the thousands digit of d? 2 Let u be (-1 - 0)/((-2)/212). Suppose -3*x + 261 = -3*p, -1232 - 237 = 16*p - 5*x. Let c = p + u. What is the units digit of c? 2 Let t be 20/(-5)*(-13)/4. Let v = 19 - t. What is the units digit of ((28/12)/(-1))/((-2)/v)? 7 Let y be ((-32)/(-20))/((-4)/(-10)). Let p be -3*(-2)/6*0. Suppose y*j - j - 276 = p. What is the units digit of j? 2 Suppose 3*i - 23765 = 3*k - 4832, 0 = 3*i - 2*k - 18937. What is the tens digit of i? 1 Let q =
{ "pile_set_name": "DM Mathematics" }
75? 25 Suppose 4*j - 470 = -5*a, 2*j - 224 + 34 = 5*a. Suppose 3*n - 5*n + 88 = 0. What is the greatest common divisor of n and j? 22 Let v(i) = i**2 - 3*i - 9. Let u be v(5). Let p(f) = 14*f + 2. Let l be p(u). Calculate the highest common divisor of l and 176. 16 Suppose -2*r + 0*r - 10 = 0, -4*r = -2*s + 32. Let v = -792 + 858. What is the greatest common divisor of s and v? 6 Let k(u) = u**3 - 3*u**2 - 10*u - 10. Let d be k(6). Let h(y) = -y**2 + 2. Let i be h(-2). Let w = i + d. What is the highest common factor of w and 4? 4 Let x = 316 + -224. Let d = x + -20. Calculate the highest common divisor of 24 and d. 24 Let n(k) = k**3 - 3*k**2 - 10*k + 7. Let l be n(6). Suppose -19 = -2*u + w, 4*u + 10 = 6*u - 4*w. What is the highest common divisor of u and l? 11 Let h = 270 + -129. Suppose 3*t - h - 57 = 0. Suppose -v + 2*v + 2*l - 12 = 0, -5*v + 15 = -5*l. What is the highest common divisor of v and t? 6 Let a(b) = 2*b**2 - b**2 + 3 - b - 5 - b**3 + 2*b**2. Let j be a(2). Suppose 3*k - 8*k + 5 = j. Calculate the highest common divisor of 2 and k. 1 Let i(c) = 2 + c**3 - 8*c**2 - 4*c**2 - 2 + 11*c + 14. Let w be i(11). Suppose 26 = 5*a - w. What is the greatest common divisor of a and 88? 8 Suppose 4*j + a = -a - 6, 0 = -5*j + 5*a + 30. Let y be (-27)/(-15) - j/(-5). Suppose 0 = y*m + 3*m - 150. What is the highest common factor of m and 6? 6 Let v(c) = -94*c + 4. Let b be v(-1). Let f be 0*1/2 + 25. Suppose 4*j - 31 = f. What is the highest common divisor of b and j? 14 Suppose 184 = 4*q - 0. Let h = q - 32. Calculate the highest common factor of h and 7. 7 Let g = 83 + 19. Suppose 0*z - 4*n = -4*z + 120, -4*z = 2*n - g. Suppose 3*q = 3*h - z, q - 6 = -1. What is the greatest common factor of h and 28? 14 Let t = -22 - -31. Let p = -81 - -67. Let o be (-54)/4*p/21. Calculate the highest common divisor of t and o. 9 Let r = -93 + 64. Let u = r - -50. Calculate the highest common divisor of u and 14. 7 Let l(s) = s + 7. Let c(t) = -6*t + 3. Let f be c(2). Let n be l(f). Let h(r) = -22*r + 4. Let a be h(n). Calculate the highest common factor of 6 and a. 6 Let n be 4*(2 - 9/6). Let a be (7/n)/(6/12). Suppose z = a*z - 60. Calculate the highest common divisor of z and 15. 5 Let h(j) = j**2 + 10*j + 94. Let l be h(-27). Calculate the highest common factor of 79 and l. 79 Suppose 4 + 24 = 2*g. Suppose 2*o - 4*o - g = 0. Let x(w) = -w**2 - 12*w - 9. Let l be x(o). Calculate the highest common factor of 78 and l. 26 Let m be -1 + 2/3*15. Suppose 0 - m = -3*g. Let c be ((-12)/9)/((-12)/216). Calculate the greatest common divisor of g and c. 3 Let u = -10 + 13. Let f(l) = 4*l**2 + 38*l - 80. Let q be f(2). Calculate the highest common divisor of q and u. 3 Let u(a) = -a**3 + 5*a**2 - 3*a - 4. Let l be u(4). Suppose l = 2*g - 0*g - 10. Suppose -5*w = -g - 165. What is the highest common divisor of 85 and w? 17 Let v(y) = y**3 - 11*y**2 + 5*y + 12. Let f be v(9). Let l = f + 189. Suppose 2*q + l = 4*q. What is the highest common divisor of q and 14? 14 Let x = -55 - 12. Let n = x - -117. Let h be 50*-5*(-2)/25. Calculate the greatest common divisor of h and n. 10 Let q(f) = -f**3 - 3*f**2 + 11*f + 10. Let t be q(-5). What is the greatest common factor of t and 2? 1 Suppose -157*m + 360 = -139*m. Calculate the highest common divisor of m and 40. 20 Let a be ((-81)/(-4))/3*12. Suppose -3*x + 0 = -a. Calculate the highest common factor of 3 and x. 3 Suppose 22*b = 14*b + 40. Suppose -4*y + b*y = 5. What is the highest common factor of y and 40? 5 Let f(i) = 13*i. Let b(m) = 1 - 10*m + 22*m + 24*m - 10*m. Let h(q) = 6*b(q) - 13*f(q). Let z be h(-3). Calculate the greatest common factor of z and 18. 9 Let n = -599 + 1033. Calculate the greatest common factor of n and 21. 7 Let a = 95 + -47. Let t(z) = 2*z**2 - 4*z + 4. Let g be t(2). Suppose -v = g*v - 30. Calculate the greatest common divisor of v and a. 6 Let y(b) = 2*b**2 - 18*b - 9. Let l be y(13). Let i be (26 - 4)*(-6)/4. Let w = -14 - i. Calculate the greatest common divisor of l and w. 19 Let t = 43 + -31. Suppose 12 = 6*j - 0*j. Suppose 4 = -2*s, 0*s - j = p + 3*s. What is the highest common factor of t and p? 4 Let w = -23 - -10. Let k = w + 39. Let o = k - 11. Calculate the greatest common factor of o and 3. 3 Suppose -g + 4*g = 12, 3*v - 380 = -5*g. What is the greatest common factor of 88 and v? 8 Let c = 880 - 64. What is the greatest common divisor of 68 and c? 68 Suppose -6*x + x - 13 = -d, 0 = d - x - 5. Suppose 0 = -d*s + 4*s - 79. Suppose t = 2*k - s, 157 = 5*k - k - 3*t. What is the highest common divisor of 8 and k? 8 Let j(m) = -45*m + 183. Let i be j(4). What is the greatest common divisor of 126 and i? 3 Let z be (-3*1)/(10/(-110)). Let n = -26 + z. Suppose 0 = c - 2*s - 20, 4*s = -9 - n. Calculate the greatest common divisor of c and 12. 12 Suppose 1320 + 6072 = 32*g. What is the highest common factor of 21 and g? 21 Suppose -31*u + 123 = -683. Calculate the greatest common divisor of 442 and u. 26 Let b = -745 - -1033. What is the highest common divisor of b and 18? 18 Suppose 0 = -202*p + 172*p + 3960. Suppose 5*g - 63 = -5*j + 12, -2*j = -3*g + 30. What is the greatest common divisor of p and g? 12 Let j = -401 - -407. Calculate the greatest common factor of j and 14. 2 Suppose 3 = c - 9. Let h(g) = 4*g**2 + 10*g + 6. Let z be h(2). What is the greatest common factor of z and c? 6 Let t be (-4)/5*7*-5. Let h = 14 - t. Let n be ((-48)/14)/(h/147). What is the highest common divisor of n and 4? 4 Let r(d) = 7*d**2 - d. Let k be r(1). Suppose k*v - 2*v - 16 = 0. What is the highest common factor of 36 and v? 4 Let q = -16 - -18. Suppose 2*i - 56 = -2*j, 0 = -3*j - q*j. Calculate the highest common factor of 42 and i. 14 Let f(s) = s**3 - 6*s**2 - 11*s - 16. Suppose g = 4*l - l + 14, -4*l = -5*g + 48. Let y be f(g). What is the highest common factor of y and 168? 24 Let l = 62 - 50. Suppose 0*m - 50 = -m - 4*d, 4*d - 140 = -4*m. What is the greatest common divisor of l and m? 6 Let a be (12/5)/((-294)/(-19600)). What is the highest common factor of 5 and a? 5 Suppose -w - 343 = -8*w. Let x = w + -13. Calculate the highest common divisor of 36 and x. 36 Let j = 91 + -28. Suppose 6*r - 105 - j = 0. What is the highest common divisor of r and 28? 28 Suppose 2*k + 0*k = 6, 0 = -m + 3*k - 19. Let n be 364/35 + 4/m. Suppose 3*g = 9, 5*g = -0*j - 3*j + 195. What is the highest common factor of n and j? 10 Let u be (2 + -8)*(-49)/(-2). Let f(j) = -15*j**2 + j + 17. Let v be f(4). Let n = u - v. Calculate the highest common factor of 8 and n. 8 Let o be ((-26)/(-78))/((-1)/(-24)). Let x(u) = -u**3 - 3*u**2 + 7*u + 1. Let t be x(-6). Let a = t + -35. Calculate the highest common factor of o and a. 8 Suppose 189 + 77 = 14*s. Let n(j) = j**3 + 3*j**2 + 2*j. Let r be n(-2). Suppose r = -3*u - 0*u + 114. Calculate the greatest common divisor of u and s. 19 Suppose 0 = -5*i + 2*l + 131, 0 = 7*l - 8*l - 3. Suppose 0 = -5*y + 4*y. Suppose -2*x + 15 - 5 = y. Calculate the greatest common factor of x and i. 5 Let k(g) = 42*g**3 - 2 - 3*g + 4 + 3*g**2 - 2. Let h be k(2). What is the highest common factor of 38 and h? 38 Suppose 5*l - 164 = -69. Let r = l + -10. What is the greatest common factor of 6 and r? 3 Suppose -v - 2*r + 216 = 0, -232 = -v - r - 20. Let z = 348 + -335. What is the greatest common divisor of v and z? 13 Let m = 302 - 222. Calculate the greatest common divisor of m and 128. 16 Let a(j) = -5*j + 38. Let d be a(7). Let w be 10*(-10)/(-4)*d. Calculate the highest common divisor of 50 and w. 25 Let x = -11 + 39. What is the highest common factor of 266 and x? 14 Suppose 3*b - 712 = -4*g, 956 = 4*b - 6*g + 8*g. Calculate the greatest common divisor of b and 192. 48 Let g = -1386 + 1390. What is the highest common divisor of 8 and g? 4 Suppose 23*w - 524 = 3961. What is the greatest common divisor of 52 and w? 13 Let w be (-4 - -1) + 8 + -8. Let b be ((-2)/w)/((-8)/(-108)). What is the greatest common divisor of 18 and b? 9 Suppose 2*u - 14 = -5*s, -4*s = -5*u - 2*s + 6. Suppose 8*b = -88 - 8. Let v be ((-1)/u)/1*b. What is the greatest common divisor of v and 42? 6 Let j = -52 + 252. What is the highest common factor of 80 and j? 40 Let z(k) = k**2 - 6*k - 17. Let r be z(13). Let w
{ "pile_set_name": "DM Mathematics" }
3*g + 4*n = 0. Is 10 a factor of j(g)? False Let b(w) = 4*w**2 + w. Suppose 3*a = a - 4*p - 28, -2*p = -5*a - 10. Is b(a) a multiple of 15? True Let o(w) = w + 1. Let y(z) = 32*z + 3. Let t(a) = 5*o(a) - y(a). Let x be t(-2). Suppose 0*p = -2*p + x. Is p a multiple of 14? True Let f = 6 - 3. Suppose -26 = 2*g - 3*q, f*g + 2*q + 27 = -2*g. Is g + 4 + (-1 - -22) a multiple of 9? True Suppose -3*v + 119 - 2 = 0. Is 13 a factor of v? True Let m = -53 - -29. Is m/(2 - 5) + 4 a multiple of 12? True Let u(v) = -165*v. Let b be u(-1). Suppose 25 = 5*t + b. Let q = -18 - t. Is 4 a factor of q? False Let d(j) = -4*j**2 + j**3 - 2*j**3 + 1 + j - j**3. Does 16 divide d(-3)? True Is 13 a factor of 208 - 3/6*4? False Let x(d) = 2*d + 117. Let c be x(0). Suppose -45 = w - c. Does 24 divide w? True Let c(l) = l**2 + 5*l - 3. Let r be c(-4). Is 3 a factor of 3 + -2 - 1*r? False Let m(l) = 2*l + 1. Let o be 15/4 - (-3)/12. Let j be m(o). Let p = j + -2. Does 7 divide p? True Let o(g) = -g**3 + 25*g**2 + 3*g. Is 25 a factor of o(25)? True Let n = 7 + -10. Let t be (13/(-5) - n)*65. Suppose -3*o = 3*s - 5*o - 44, -t = -2*s + 3*o. Does 16 divide s? True Let l = -2 + 2. Let z be l - (-1)/1*5. Suppose 0 = -z*q + 86 - 1. Does 12 divide q? False Let r be 11 + -2*(-1)/(-2). Let f = 16 - r. Is 4 a factor of f? False Let z(w) = -w**3 - 8*w**2 + 11*w + 1. Let b be z(-9). Is 17 a factor of -1 - -1 - (b + -7)? False Let i(u) = 2*u**2 + 7*u - 11. Is 25 a factor of i(5)? False Suppose u = -3*u + 3856. Suppose -4*g - u = -2*o, 5*o - 3*g = 1342 + 1103. Is 6/(-27) + o/27 a multiple of 13? False Let n(t) = -4*t - 1. Let j be n(-1). Is 21 a factor of 56/(-1 + -1 + j)? False Suppose -350 = -2*w - 3*w. Suppose -5 = -3*i + w. Is 10 a factor of i? False Let z(p) = 9 + 2*p + 0*p - 2. Let k be z(-5). Does 8 divide ((-39)/9 + 1)*k? False Suppose -7*i - c - 296 = -10*i, 0 = -5*i + 5*c + 480. Is i a multiple of 10? True Suppose 4*f = 6*f - 32. Is f a multiple of 16? True Suppose 4*h = -5*k + 209, h - 2*h + 66 = 4*k. Does 10 divide h? False Let w = 98 - 12. Is 17 a factor of w? False Suppose 195 - 65 = 5*q - 2*f, 5*q - 95 = -5*f. Does 12 divide q? True Let f(w) = w**3 + 4*w**2 + 2*w - 2. Let s be f(-2). Let q(a) = 0*a**2 + 6*a + 2*a**2 - a**s - 1. Is 13 a factor of q(4)? True Let s(c) = 0*c - 10*c + 0*c - 6. Let b be s(-6). Suppose b = 2*z - 2*v, -z + 19 = -v + 2*v. Does 8 divide z? False Let u be -2*2/12*-12. Suppose 3*v - 6 = v, 4*r + u*v = 24. Suppose 2*d - 3*a - 18 = -0*a, r*d + a = 38. Is d a multiple of 12? True Let s(x) = x**3 - x**2 + x. Let r(u) = 2*u**2 + 4*u + 2. Let z be r(-2). Does 6 divide s(z)? True Suppose -972 = -7*n - 314. Is n a multiple of 22? False Let w(l) = 22*l + 4. Is w(1) a multiple of 13? True Suppose 6 = g - 0. Let s(x) = -x**3 + 4*x**2 - 2*x**2 + 3*x**2 + 5 + 6*x. Is s(g) even? False Suppose 73 = -4*f + 29. Let k = f - -38. Is k a multiple of 27? True Let y = -17 + 0. Let i = y + 12. Let h(c) = -c**3 - 3*c**2 + 4*c. Is 15 a factor of h(i)? True Suppose -11*q = -16*q + 250. Is q a multiple of 25? True Let g(t) = -t**2 - 5*t + 1. Let h be g(-5). Let c(i) = -2*i**2 + 1 - 3 + 3 + 20*i**3. Is 10 a factor of c(h)? False Suppose 0 = 3*b - b - 20. Is 7 a factor of b? False Let s(k) = k**3 + 9*k**2 - 9*k - 6. Does 11 divide s(5)? False Let t be 2/(-4) + 5/2. Let n be 8*5/t + 0. Suppose 5*c = 15 + n. Does 7 divide c? True Suppose 2*k = -0*k + 4. Suppose 0 = -5*v + 5*b - 10, -k*v + v + 5*b = 6. Does 15 divide 31*1 + 0 + v? True Suppose -9*w = -13*w + 584. Does 10 divide w? False Let u(f) = -32*f**2 - 3*f + 2. Let y(o) = o - 1. Let m(z) = -u(z) - 2*y(z). Let s be m(1). Let h = 28 + s. Is h a multiple of 23? False Suppose 14*q - 243 = 3635. Is q a multiple of 29? False Let m(n) = n**3 - 8*n**2 + 8*n - 5. Let v be m(7). Suppose 0 = -2*p + v*a + 10, 0*p - 3*p + 2*a + 14 = 0. Is p even? True Let l(m) = -27*m**3 - 2*m**2 - m. Let f be l(-1). Suppose 3*b + 13 = -t, 3*t - f = 7*b - 3*b. Does 5 divide 6*1/t - -2? True Let m = 113 + -27. Is 7 a factor of m? False Let m(o) = -o**2 - 8*o + 10. Let u(t) = 3*t - 2. Let h be u(-2). Is 10 a factor of m(h)? True Let w(m) = m**2 + 8*m + 7. Let r = 2 - 9. Let a be w(r). Suppose 2*l = -a*l + 42. Is 21 a factor of l? True Let p = -11 + 8. Let q be ((-3)/(-2))/p*-100. Suppose -2*j - r + q + 17 = 0, -2*r - 2 = 0. Does 13 divide j? False Suppose -5*y + 5*h = 11 + 19, -h = 3*y + 10. Let l = 5 - y. Suppose -18 = -3*w + l. Is 9 a factor of w? True Suppose s - 5*s + j = 47, 26 = -2*s - 2*j. Let i = s + 32. Does 10 divide i? True Suppose 5*k + 17 = j, -4*j + 2 = -k + 3*k. Let m(s) = 4*s**3 - 3*s + 3. Let v be m(j). Suppose -q - 6 = -v. Is q a multiple of 23? True Let z(t) = -t + 9. Let y be z(9). Let v(q) = q**3 + q + 14. Is 14 a factor of v(y)? True Let c(x) = -4*x + 5*x + x**2 - 3*x**2 + x**2 + 3. Let l be c(4). Does 4 divide -2 - l - (-1 + 4)? True Let g(f) = -f**3 - f - 149. Let u be g(0). Let x = -105 - u. Is x a multiple of 13? False Let x(i) = -2 + 9 + 2*i - i. Is x(-4) a multiple of 2? False Suppose 4*m - 402 = -2*f, -m - 2*f = -26 - 76. Does 5 divide m? True Let k(y) = -3*y - 3. Let o be (-1)/(-4) - (-185)/(-20). Is 8 a factor of k(o)? True Is 5/((-30)/4)*504/(-7) a multiple of 6? True Suppose -2*n = -7 - 3. Let m be 4/(-10) + 342/n. Let c = m - 33. Is c a multiple of 13? False Suppose 2405 = 2*f + 11*f. Does 15 divide f? False Let v(n) = n**3 + 2*n**2 + 96. Does 12 divide v(0)? True Suppose -10 + 2 = -2*v. Suppose v*z - 23 - 69 = 0. Is 15 a factor of z? False Suppose -n + 3*n - 6 = 0. Suppose -6*g + 96 = -n*g. Does 18 divide g? False Suppose -5 = -l, 2*q - 2*l - 22 - 6 = 0. Is 19 a factor of q? True Suppose 3*k - k - 485 = d, -3*k = d - 735. Suppose 3*w - k - 170 = 5*j, -5*j + 4*w - 417 = 0. Let z = j + 124. Does 15 divide z? False Let i(b) = -b**3 - 3*b**2 - 4*b - 1. Let y be i(-5). Is -2 + (y - (-1 - 3)) a multiple of 20? False Let v = -69 + 209. Suppose 4*q - v = -q. Is 22 a factor of q? False Let d(p) = -5*p - 6. Let u be d(7). Let z = -23 - u. Is 18 a factor of z? True Suppose -2*i = 8, -3*u = -i + 4*i - 114. Is 21 a factor of u? True Suppose -66 - 224 = -5*r. Does 15 divide r? False Suppose 0 = 4*i - 2*i + 106. Let h = -31 - i. Is h a multiple of 16? False Let b(t) = 17*t - 1. Let o = -1 + 2. Is 16 a factor of b(o)? True Let x(f) be the first derivative of 13*f**2/2 - 7*f + 2. Does 18 divide x(3)? False Let w be 19/(-2)*(-3 - 1). Let m = -23 + w. Is m a multiple of 5? True Let l(j) = j**3 - 4*j**2 + j. Let m be l(4). Suppose -m*p = p - 25. Suppose p*x - s = 3*s + 87, -23 = -x - 2*s. Does 19 divide x? True Let c(l) = -l**3 - 5*l**2 + 4*l + 4. Let o = 5 + -11. Does 8 divide c(o)? True Let z = 85 - -23. Is 18 a factor of z? True Let a = -30 + 33. Let l be 2/5 + 33/5. Is 11 a factor of (a - l)*22/(-8)? True Let s = -25 + 27. Suppose -2*g - s*g = -304. Is 19 a factor of g? True Suppose 4*k = 5*k - 24. Suppose 0 = -3*d + 2*d + k. Is d a multiple of 12? True Is (-177)/6*(-3 + 1 + -2) a multiple of 13? False Suppose 2*z - 174 = -50. Does 25 divide z? False Let x(l) = l**3 - 6*l**2 + 6*l - 4. Let n be x(5). Let z(s) = 4 + 13*s**2 - 3*s**2 + 9*s**2 - 5. Is 11 a factor of z(n)? False Let l(r) = -r**3 - 11*r**2 + 10*r + 6. Does 5 divide l(-12)? True Suppose 0 = -4*k - 4*c + 420, -5*k - 5*c + 421 = -k. Is k a multiple of 13? True Let l(c) = c**3 + c. Let v be l(2). Let x(n) = 3*n**2 + 5*n - 3. Let z(i) = -7*i**2 - 9*i + 6. Let y(r) = -9*x(r) - 4*z(r). Does 12 divide y(v)? False Let p(s) = 4*s + 16 - 3*s - 2*s. Is 16 a factor of p(0)? True Let r = 430 + -166. Does 44 divide r? True Suppose -5*x = -5*h + 605, -2*h + 3*x - 4*x = -239. Is h a multiple of 20? True Let p be 1/(-4) + 3/12. Let k(i) = -i + 35. Does 9 divide k(p)? False Suppose 0 = 16*l - 17*l + 12. Is 12 a factor of 90/8 - (-9)/l? True Let f(y) = -y**2 - 10*y + 13. Let i be f(-10). Does 9 divide 1 + (i - (1 + -3))? False Does 41 divide (16/(-10))/(-2)*(322 - -33)? False Let j = -126 - -364. Is j a multiple of 17? True Does 9 divide 0 - 34/((-28)/(-36) + -1)? True Let p(d) = -d**3 - 6*d**2 - 8*d - 17. Does 11 divide p(-7)? True Does 13 divide (-124)/(-10) + (-27)/(-45)? True Suppose 0 = 2*w - 8, -4*i - 3*w + 612 - 24 = 0. Suppose -4*y + 4*n - 67 = -187, 4*n - i = -4*y. Is 15 a factor o
{ "pile_set_name": "DM Mathematics" }
olve 22 = 16*u - 10 for u. 2 Solve -7*r = 5*r for r. 0 Solve 28 = -3*p + 31*p for p. 1 Solve 0 = -54*m - 46*m + 500 for m. 5 Solve -3*c + 55 = 8*c for c. 5 Solve -97*j + 84*j = 91 for j. -7 Solve -332*z + 294*z - 114 = 0 for z. -3 Solve -3*t + 11*t = 5*t for t. 0 Solve -6*h - 9 = -9*h for h. 3 Solve 116*c + 735 = 39 for c. -6 Solve 0 = 144*s - 104*s for s. 0 Solve 23*x - 35*x - 12 = 0 for x. -1 Solve 6 + 5 = 11*o for o. 1 Solve -440 + 440 = -22*z for z. 0 Solve -2*c + 12 = 2 for c. 5 Solve -245*c + 6 = -248*c for c. -2 Solve 31*l = -20*l + 357 for l. 7 Solve 60 = -8*q - 7*q for q. -4 Solve 7*o = -30 + 2 for o. -4 Solve 0 = -47*n + 148*n - 101 for n. 1 Solve 48*k + 90 = 3*k for k. -2 Solve 72*g = -22*g for g. 0 Solve 536*c - 526*c + 50 = 0 for c. -5 Solve 15*y = -63 - 12 for y. -5 Solve -53*m + 35*m = -162 for m. 9 Solve 29 = 31*n - 33 for n. 2 Solve 19*i = -28*i - 376 for i. -8 Solve -49*u + 50*u + 3 = 0 for u. -3 Solve 1 = 16*q - 15*q for q. 1 Solve d - 36 = -32 for d. 4 Solve 0 = 155*r - 150*r - 20 for r. 4 Solve -94*o = -96*o + 10 for o. 5 Solve i = -i + 6 for i. 3 Solve 10*c + 7 = -53 for c. -6 Solve -76*d = -20*d + 504 for d. -9 Solve -4*b - 6 - 6 = 0 for b. -3 Solve 57 = 26*v + 161 for v. -4 Solve 9*t + 29 - 11 = 0 for t. -2 Solve -11*z + 7*z + 4 = 0 for z. 1 Solve 0*o - 8*o - 32 = 0 for o. -4 Solve 8*k + 12 = 44 for k. 4 Solve 0 = 79*y - 85*y - 6 for y. -1 Solve 93*a = 14*a + 79 for a. 1 Solve 28 - 30 = c for c. -2 Solve 5302 - 5362 = -10*a for a. 6 Solve -96*y + 88*y + 48 = 0 for y. 6 Solve 6 = 9*b - 3 for b. 1 Solve 40*c + 74 + 86 = 0 for c. -4 Solve -1137 = -k - 1138 for k. -1 Solve -2*p + 26 - 18 = 0 for p. 4 Solve 3*d - 10 = 2 for d. 4 Solve 0 = 59*c - 57*c + 8 for c. -4 Solve 75*x + 6 = 69*x for x. -1 Solve 10*s = 8 - 48 for s. -4 Solve 4*j - 10 = -6 for j. 1 Solve -18*f + 66 = 12 for f. 3 Solve -37 = -5*a - 12 for a. 5 Solve -2*v = -v - 1 for v. 1 Solve 124*b - 130 = -1246 for b. -9 Solve 67*v = 86*v - 114 for v. 6 Solve 30 = z + 34 for z. -4 Solve 208*f - 18 = 211*f for f. -6 Solve 21 = -25*x - 104 for x. -5 Solve 9 = -2*i + 3 for i. -3 Solve 14*a = 11*a + 9 for a. 3 Solve -149 - 36 = 37*p for p. -5 Solve -399*d + 394*d = 30 for d. -6 Solve -9*c + 217 = 181 for c. 4 Solve -6*i + 62 - 86 = 0 for i. -4 Solve 0 = -6*h - 5*h for h. 0 Solve -24*n + 16*n = -32 for n. 4 Solve 14*c + 41 = 55 for c. 1 Solve 7*a = 14 + 21 for a. 5 Solve 13*z + 49 = 10 for z. -3 Solve 0 = 13*w - 23*w + 60 for w. 6 Solve 2 = 3*u - 13 for u. 5 Solve -19 + 23 = -4*z for z. -1 Solve -17 = -21*x + 46 for x. 3 Solve -51*x + 118 = 16 for x. 2 Solve 7*v - 18 = -39 for v. -3 Solve 262*p = 267*p + 20 for p. -4 Solve -172*x + 166*x + 18 = 0 for x. 3 Solve 27 = 20*m - 73 for m. 5 Solve 2*c - 4*c = -8 for c. 4 Solve 64 - 28 = -9*i for i. -4 Solve -26*h - 23 = 29 for h. -2 Solve -30210*i = -30200*i for i. 0 Solve 24 - 20 = -4*i for i. -1 Solve 0 = 364*q - 384*q + 160 for q. 8 Solve -4 = -5152*j + 5156*j for j. -1 Solve -6*r = -39 + 15 for r. 4 Solve 0 = -6*t + 35 - 53 for t. -3 Solve -5*g - 104 = 21*g for g. -4 Solve 59 - 89 = -6*o for o. 5 Solve 6*j + 5 = 7*j for j. 5 Solve 3*f + 84 = 87 for f. 1 Solve -6*l + 15 = -15 for l. 5 Solve 8*c - 9 = -57 for c. -6 Solve -5*u = -17*u - 12 for u. -1 Solve -14*g = 7 + 7 for g. -1 Solve 11*j = 14*j - 12 for j. 4 Solve 23*m = 4*m + 57 for m. 3 Solve 13*r = 11*r - 8 for r. -4 Solve 359*p - 78 = 346*p for p. 6 Solve 2*f = 4 + 2 for f. 3 Solve 14*j - 20*j = -6 for j. 1 Solve -46*o = -40*o - 24 for o. 4 Solve 0 = -59*l + 49*l + 50 for l. 5 Solve -36*n + 12*n = -48 for n. 2 Solve -259*x + 277*x - 18 = 0 for x. 1 Solve 74 = 16*x - 6 for x. 5 Solve -314*h + 307*h = -21 for h. 3 Solve -44*k + 9*k - 28*k = 0 for k. 0 Solve -21*l + 78 = 15 for l. 3 Solve 9*l = 11*l + 2 for l. -1 Solve 8*j = 13 + 27 for j. 5 Solve 560*k - 63 = 569*k for k. -7 Solve -4*w + w - 9 = 0 for w. -3 Solve 31*t - 132 = 23 for t. 5 Solve -34*w + 297 = -w for w. 9 Solve 123 = 29*q - 51 for q. 6 Solve 97 = 7*c + 48 for c. 7 Solve 7*i = -i + 3*i for i. 0 Solve -7*s + 32 = 11 for s. 3 Solve -3*m = -10 + 16 for m. -2 Solve -2*x - 1 - 3 = 0 for x. -2 Solve 14*o + 6 + 8 = 0 for o. -1 Solve -15 = -13*s + 28*s for s. -1 Solve 49*o - 84 = 35*o for o. 6 Solve -4*d - 18 = -10*d for d. 3 Solve -3*k - 28 = 4*k for k. -4 Solve -11*o = -8*o + 3 for o. -1 Solve 97*k - 103*k + 12 = 0 for k. 2 Solve 0 = -12*w + 83 - 35 for w. 4 Solve 245 - 213 = -8*z for z. -4 Solve -13*w - 22 = 17 for w. -3 Solve g - 13 + 11 = 0 for g. 2 Solve 0 = r - 111 + 112 for r. -1 Solve 109*t = 117*t + 40 for t. -5 Solve -12*c + 21 = 9 for c. 1 Solve 6*n = -66 + 6 for n. -10 Solve 47*y = 76*y + 58 for y. -2 Solve 17*j = -11*j - 168 for j. -6 Solve 505 = -16*f + 393 for f. -7 Solve -2155*j + 2148*j = -7 for j. 1 Solve -15*t + 214 = 169 for t. 3 Solve 1412 - 1406 = -2*q for q. -3 Solve 72*a + 2 = 73*a for a. 2 Solve 67*w - 102*w = -105 for w. 3 Solve 6 = -7*n - 15 for n. -3 Solve -1981*o + 1992*o = -99 for o. -9 Solve 11*w - 16 = 17 for w. 3 Solve 19*o + 139 - 177 = 0 for o. 2 Solve 44*q = 41*q - 9 for q. -3 Solve -5*u = -15 + 10 for u. 1 Solve 7*c = 45 - 31 for c. 2 Solve -13*a - 125 = -112 for a. -1 Solve 0 = -7*n - 37 + 37 for n. 0 Solve 20 = -16*l + 21*l for l. 4 Solve 134*f + 42 = 120*f for f. -3 Solve 0 = 5*r - 2*r - 15 for r. 5 Solve -6*j + 8 = 2 for j. 1 Solve -48*w + 2 = -50*w for w. -1 Solve -q = -12 + 10 for q. 2 Solve 53*z - 17*z + 72 = 0 for z. -2 Solve 7*y - 1 = -36 for y. -5 Solve 21*u - 32 = -116 for u. -4 Solve -9910 = -14*z - 9952 for z. -3 Solve -12*g - 22 = 10*g for g. -1 Solve -v + 20 = 24 for v. -4 Solve -37*o + 34*o + 3 = 0 for o. 1 Solve 10*b - 1347 = -1387 for b. -4 Solve -5*k = 20*k + 50 for k. -2 Solve 0 = 14*m - 56*m + 252 for m. 6 Solve 0 = 38*r - 78 + 268 for r. -5 Solve 4*p = -9 + 29 for p. 5 Solve -26*l - 2388 = -2206 for l. -7 Solve 284 - 294 = 5*k for k. -2 Solve -9*b = 25*b + 68 for b. -2 Solve 21 = 6*p - 3 for p. 4 Solve -3 = -5*z - 18 for z. -3 Solve -42 = -159*k + 153*k for k. 7 Solve -44*b + 47*b = 15 for b. 5 Solve -22*u = -99 + 77 for u. 1 Solve 0 = 16*p + 165 - 341 for p. 11 Solve -519*x + 524*x + 5 = 0 for x. -1 Solve -8*z - 40 = 2*z for z. -4 Solve 17*j - 89 + 140 = 0 for j. -3 Solve 21*v = 25*v + 16 for v. -4 Solve -8*i - 415 = -391 for i. -3 Solve 0 = -1389*l + 1398*l + 63 for l. -7 Solve -2 = 7*z - 9*z for z. 1 Solve 39*u - 23 = 133 for u. 4 Solve -64 + 8 = 14*b for b. -4 Solve -33*z + 32*z = 0 for z. 0 Solve 37*i + 144 = 13*i for i. -6 Solve -7*t - 9 = 5 for t. -2 Solve -69 = 8*n + 15*n for n. -3 Solve -12*c = 33 - 9 for c. -2 Solve -51*k + 35*k = 80 for k. -5 Solve -9*z + 41 = -13 for z. 6 Solve -17*k - 18 = -20*k for k. 6 Solve 2*o + 40 = 10*o for o. 5 Solve 0 = 2*g + 9 - 15 for g. 3 Solve -7*q - 16 = -9 for q. -1 Solve 0 = 139*p - 130*p - 63 for p. 7 Solve -16 = -180*h + 196*h for h. -1 Solve 4*q + 22 = 2 for q. -5 Solve 0 = -4*o - 33 + 21 for o. -3 Solve 0 = -1315*t + 1318*t - 18 for t. 6 Solve 10*y - 14 = 16 for y. 3 Solve 68*w - 616 = -20*w for w. 7 Solve -30*c + 15 = -45*c for c. -1 Solve 8*y + 20 = 3*y for y. -4 Solve 23*w = 22*w + 5 for w. 5 Solve 35*t = 20*t - 90 for t. -6 Solve -83*b = -80*b for b. 0 Solve 5*o = 18 + 7 for o. 5 Solve 7 = 102*r - 1013 for r. 10 Solve 0*v = 17*v + 17 for v. -1 Solve -599*g = -604*g + 15 for g. 3 Solve 327 - 376 = -7*n for n. 7 Solve -24 = d - 20 for d. -4 Solve 0 = f + 6 - 1 for f. -5 Solve 0 = 110*t - 143 + 913 for t. -7 Solve -25 = 10*l - 15 for l. -1 Solve 0 = -10*r + 11 - 101 for r. -9 Solve 7*b - 36 = -1 for b. 5 Solve 98 = 2*c + 108 for c. -5 Solve -23*k = -75*k + 104 for k. 2 Solve 2*h = -0*h + 4 for h. 2 Solve 12*d + 67 - 19 = 0 for d. -4 Solve 19*m = 41*m for m. 0 Solve -24 = 4*h - 8*h for h. 6 Solve -14*h - 2 = -12*h for h. -1 Solve -5*r = 16 + 4 for r. -4 Solve -18*x - 12*x = 150 for x. -5 Solve 0 = -0*t + 9*t - t for t. 0 Solve -2*k = 4*k for k. 0 Solve 182*s - 188*s + 6 = 0 for s. 1 Solve -k = -k - 2*k for k. 0 Solve -88*q = -86*q - 4 for q. 2 Solve -37 = -10*l - 47 for l. -1 Solve -31*m + 33*m = 6 for m. 3 Solve 138*f + 8 = 139*f for f. 8 Solve 303*z = 297*z - 12 for z. -2 Solve -17*p + 12*p = 0 for p. 0 Solve -k + 8 - 2 = 0 for k. 6 Solve -27*i + 33*i = 42 for i. 7 Solve -9*w = -316 + 244 for w. 8 Solve -4
{ "pile_set_name": "DM Mathematics" }
13 + 2)*-226? 3/11 What is 7983962/244407*(-10 + 0)*(76/(-35) - -2)? 56 What is the value of (96 - 95)/(413/(-7) - -4)? -1/55 (364/(-3016))/((-231)/66) 1/29 What is the value of (2093/(-42) - (-1115)/1338) + -13? -62 What is the value of (16418/(-144) - 6) + 478/34416? -120 (23 + -7)/(-16) - -55 - 0 54 What is ((-70)/(-135))/(-7) + -12 + (-71008)/756? -106 (4 + 69/(-18))/((-265)/(-63600)) 40 Calculate (-3)/39 - (97650/455)/5. -43 Evaluate 10/(-125) - ((-171732)/1650 - -95). 9 What is the value of 8/(-6) - (-13205)/2085? 5 Evaluate (132/(-10))/((-54998)/(-2247)*(-14)/(-20) - 17). -99 Calculate (-1 - -1 - -6)*((-30)/(-15))/(414/345). 10 -42*418/1824 - ((-134)/14 - 30/70) 3/8 What is (-2847)/(-78) - (4/(-3) - 242/(-132))? 36 112/(-196) + (-156)/21 -8 What is the value of ((-89792)/185196)/(4/(-6))? 8/11 What is (-258)/34 - 1 - (-15 - -7)/(-2)*-2? -10/17 What is ((36/33)/(-29 - 4438/(-154)))/((-6)/2)? 2 What is the value of 0/(-54) - (11 + 28)? -39 Calculate (-56)/10*(78975/1782)/(-195). 14/11 What is -37 + 46 + (-59)/7 - 102/(-42) - -43? 46 Calculate (-18)/354 - (-5649809)/(-645755). -44/5 What is the value of (-97 - 13230/343) + (-3)/7? -136 What is the value of 6/10 + (-115934)/(-91260)*-54? -68 Evaluate ((-12216)/(-4782564))/((-2)/(-9)). 1/87 Evaluate (-2556)/639*4/64*-62*2. 31 ((32/120)/4)/(2/(-334)) - (-2814)/9380 -65/6 What is the value of 189/243 - (-497)/(-882)? 3/14 What is (3280/(-220) - -15) + (-3150)/165? -19 Calculate (0 + (-1)/(-24))*87/(-58)*(-18)/6. 3/16 ((96330/(-455))/(-39))/(2/14) 38 Evaluate -375*(-138)/(-7245)*1. -50/7 ((-114)/133)/((-528)/770) 5/4 ((-1768)/(-34) - 60 - (2 - 19)) + 84 93 184*10/(-80) - -47 - 46 -22 Evaluate (-906)/82 - (4 + (-10790)/2665). -11 What is (-26928)/(-6120) + 2 + (-62)/10? 1/5 15/(-175)*(-660520)/8088 7 Evaluate 315/(-6372) + (-12)/885*(-535)/(-214). -1/12 What is 21 + 255/(-630)*-7*6? 38 Calculate (-1 - (-6150)/(-100)) + 52. -21/2 (8064/4368)/((-17)/(442/44)) -12/11 What is 2/169 - 21365704/(-138749)? 154 (673890/25672)/((-6)/(-16) - 0) + -14 56 What is the value of (4 - 186/42)*(-136)/(-48)*(-504)/(-816)? -3/4 Calculate ((-620)/(-16) + -2 - -2) + 26/(100 + 4). 39 What is the value of ((76 - 91) + 66)*28/34? 42 What is 9 - (42/3 - 806*33/5577)? -3/13 Evaluate 3211/(-845) - 10/30*-12. 1/5 Evaluate ((-24)/180)/((10 - 405/40)*(-48)/20). -4/9 Calculate (186618/(-22918))/((-3)/14). 38 Evaluate ((-16)/(2560/600) + 3/4)/((-2)/42). 63 What is (9 - -27) + 39 + 85*(-2)/(-10)? 92 (1 + 0)*(-26367 + 26288) -79 (-18512)/325 - 241/6025 -57 Calculate 126/(-245)*(8725/(-225) + 39). -4/35 What is (408/1320)/((-266)/(-7315))? 17/2 What is the value of -4 - ((-4264)/(-91) + 16/14 - (-9 - -19))? -42 What is (0*(-5)/(-235))/(-9)? 0 What is (-27)/(-18) - 2135/366? -13/3 Calculate ((-1821)/1214)/((-6)/(-4)). -1 What is the value of ((-104)/30)/((-6)/27)*((-51680)/57)/136? -104 561/(-135) + (-2700)/(-750) -5/9 Evaluate 143/5 - 90/((-3690)/(-1189)). -2/5 What is (-25)/50*(-11 + 17) - 32/1? -35 Calculate (-9177)/(-874)*(-4 - (10/15 - 4)). -7 Calculate (-197877)/(-22296) + ((-1)/(-1))/8. 9 What is the value of 1/(-4) + (49020/80)/19? 32 Calculate (-2758)/(-6720) + 0 + 150/(-2175) + (-48)/145. 1/96 What is the value of 2916807/997605 + 40/(-14)? 1/15 5/((-630036)/5883 + 107) -53 Calculate (1 + (-8)/(-12))*364/182*(-2)/150. -2/45 Evaluate ((-10)/130)/((-1)/(-505)) + (-25194)/(-1014) + -25. -39 (-225395)/(-146322) - 14/((-196)/(-21)) 4/99 Calculate 0 + (-13052)/(-871) + (-15 - (-23 - -23)). -1/67 Calculate ((-6)/10)/((-995)/(-398) + (-199)/70). 7/4 Calculate -1*(-9)/21 + ((-600)/(-270) - (-3484)/(-126)). -25 What is (-44)/2 + (-2 - (-435596)/18142)? 2/193 Evaluate 6224/(-720) + 24/120 - -6. -22/9 Calculate ((-32)/832)/(88/(-59488)). 26 Evaluate ((1/(-15))/1)/((-231)/(-3168)*-16). 2/35 Evaluate 6*(-11)/(-1485)*(5 - 8)*33. -22/5 551/12 - (-373)/4476 46 What is (8/156)/((-4296)/(-6981))? 1/12 What is the value of 4/((-225)/27 - -5) - (-18 - -14)? 14/5 Evaluate -2 + 2 - (62 - 69)/((-21)/(-267)). 89 What is (6210/12)/(9885/1318)? 69 32/(-2)*984/31488 -1/2 Evaluate (5 + (-35)/(-56))*736/(-138). -30 What is 546/(-208)*(-70)/735? 1/4 (-978340)/(-146751)*(-297)/(-6)*1/6*2 110 Evaluate 590364/813510 - (-3)/393. 11/15 What is the value of ((-222)/24 + 9)*310/(-217)? 5/14 What is the value of ((-9)/(-246))/((94/10 - 4)*980/2352)? 2/123 Evaluate 2/2 + 57 + (-116)/(-71 + 100). 54 What is 5*(140/(-25) + -4)/(13 - 11)? -24 What is (-330792)/20764 + 0 + 8/(-116) + 101? 85 Evaluate (120/(-624)*13)/(255/(-84)). 14/17 Evaluate 1384/(-5720) + (-104)/3380. -3/11 ((-8 + 17)/18)/(71/(-7668)) -54 What is the value of (2178/12)/((-30)/435 + (-364)/(-232))? 121 What is 16 + -22 - -28 - (-42)/(-4)? 23/2 (60060/(-117))/154*(2 + (-364)/170) 8/17 Calculate 16/28*14/6*((-442338)/(-424))/(-107). -13 (59527/7230 + 129/18 + -7)*(-10)/(-1) 84 Calculate (-118)/(-10) + 1572250/(-154375). 21/13 Evaluate (-113)/(-3) + (-47572)/(-20388). 40 Calculate (3894/220 - 18)*-1*(-2655)/(-54). 59/4 (12/(-9) + -3)*(-13012 - -13003) 39 Evaluate (-808353)/27846 - 2/(-68). -29 What is 4/15 + 33/(114840/(-1363))? -1/8 Evaluate 15 + 2970/(-1925)*10. -3/7 Calculate (3*8/(-11376)*-9)/((-8)/(192/(-12))). 3/79 Calculate (2*19)/(198/(-4653)*-47). 19 What is the value of 30*(-3)/42 - (-8 + (-4290)/91)? 53 Evaluate 112 - -1*1*((-14)/6)/((-14)/18). 115 What is 0/2717 + (-1)/(-18)*76? 38/9 Evaluate (-1 - (2/(-12)*2)/((-1176)/(-3822)))*-10. -5/6 Evaluate 49345/(-7645) + 8 + 0 + -3 + 1. -5/11 What is 1 + ((-6)/45 - 2842/2610)? -2/9 (63/(-585))/((-13671)/930) 2/273 What is 234/92 - (-288)/(-6624)? 5/2 What is the value of 754/36 + (-189)/504*56? -1/18 What is the value of 6/22 + (4 + (-7580)/1892)/((-72)/(-4152))? -4/43 What is the value of -17 + (-127 - 540/(-30))? -126 (2 - 3)/(-138 + -186 + 325) -1 Calculate 3401/895*832/608. 26/5 Evaluate (16/(-10))/(55/150*(-24 + 12 + 15)). -16/11 What is the value of -94 + 105 + (-9)/(81/126)? -3 What is 1*(-20)/(-22) + (7190/25)/(814242/(-2535))? 1/73 Calculate ((-5)/(-4) + 13847/(-10492))/((-3)/(-2)). -2/43 What is (51 - 241) + 190 - (-3)/7? 3/7 What is the value of (1856/(-256) - -7)/(40/(-15) + 3)? -3/4 Calculate (((-4446)/12)/(-39))/19*8/(-138)*3. -2/23 Evaluate -88 + (-250)/400*-64. -48 Calculate 280/(-336)*2/15. -1/9 What is (-1276)/29 + 0 - 4/(2 + 2)? -45 (4/86)/(14326/(-22792666)) -74 What is (-13)/(26/(-8))*(9464/(-1184) + 8)? 1/37 What is -31 + (-1400)/105 + 44? -1/3 Evaluate (7 - (3 + -3)) + -410 + 373. -30 What is 14/(-12)*484210/41335? -41/3 What is the value of -23 + (-11168)/(-704) + (-2 - (-10 - -1))? -3/22 What is 123213/5829 + (-22 - -2) - (1 - 0)? 4/29 (54/18 + -2)*-19 + 8 -11 Calculate (-11112)/(-4167)*(-3)/(-8)*49. 49 (-1420)/6035 - (-1287)/51 25 What is -5*(-15)/100*(-448)/21? -16 What is the value of (-10 + 23)/663*(51/26 - (-42)/(-28))? 2/221 Calculate 22/2046*31*72/198. 4/33 What is the value of ((-10208)/79344)/((-1)/(-19))? -22/9 (94284/(-6723) - (4 + -18*1))*1 -2/83 89 - (-3128)/(-24) - (-5)/(-3) -43 ((-42)/(-19) + -3)/(-2093 - -2098) -3/19 15510/1200 - 266/(-304) 69/5 What is the value of 83 + -32 - (-6 + 58)? -1 367400/7201875 + (-2)/(-69) 2/25 Evaluate ((-79)/(16037/522))/(72/1680). -60 897/84 + (-93)/(-124) + 2 + 1*-14 -4/7 ((-29900)/(-350) - 76)/((-9)/42) -44 -32 + (174336/(-168))/(-32) - 146/350 2/175 (13/((-429)/11))/(7/4263*7) -29 Evaluate (7 - 5)/(-2*(-12)/(-48)). -4 Calculate (-4)/13*(-46)/4 - (-18008 - -18012). -6/13 What is the value of 2/(-28) + 69/(-28)*6140/(-108678)? 4/59 What is -2005 - -1922 - 47/1? -130 Evaluate (33/(-264))/(170/104720). -77 What is the value of (-2 - (2 - -2))*15*(-3)/90? 3 What is (-387)/(-99)*(-602)/(-12943)? 2/11 1*-35 - (5/(5/8) - (370 + -362)) -35 Calculate ((-5)/(-30))/(-43*(-10)/14190). 11/2 What is the value of 104/(-8) + 5688/2160*5? 1/6 What is -19 - (4 + 4081/(-77))? 30 What is ((-536638)/28112 - (-2)/(-7))*(-1 + (-6)/(-10))? 31/4 What is (-197 + 120658/610)/((-204)/(-5))? 1/51 Evaluate (-49)/9*30/(-690) - 3/54*4. 1/69 Evaluate (486/(-378))/(8/(-861)) - 10*33/880. 138 What is the value of ((-3864)/(-7084))/((-78)/(-11))? 1/13 Calculate (30/(-8))/((-285)/456) - 23. -17 Evaluate (-6225)/525*7 - -149. 66 What is the value of (28/(-24)*(-84)/(-196))/34? -1/68 Calculate (-1305)/52
{ "pile_set_name": "DM Mathematics" }
ement from {y: 3, n: 9, s: 2, t: 1, k: 1, x: 3}. Give prob of sequence nssk. 1/5168 Two letters picked without replacement from {f: 4, c: 2, m: 5, l: 2, d: 1, n: 1}. Give prob of sequence nd. 1/210 Three letters picked without replacement from {r: 3, e: 1, u: 3}. Give prob of sequence uur. 3/35 Two letters picked without replacement from {l: 1, y: 2, e: 2, i: 1, x: 2, c: 4}. Give prob of sequence ci. 1/33 Three letters picked without replacement from ooososooooossosod. What is prob of sequence oos? 55/408 What is prob of sequence umvu when four letters picked without replacement from mwwujvjwmjjwwuw? 1/8190 What is prob of sequence zjy when three letters picked without replacement from ztytyj? 1/60 Calculate prob of sequence iyw when three letters picked without replacement from ikigyypw. 1/84 Three letters picked without replacement from mmmmmmhmhhhmhm. Give prob of sequence mhm. 15/91 Calculate prob of sequence pk when two letters picked without replacement from ipk. 1/6 Two letters picked without replacement from {v: 1, t: 1, x: 1, b: 1, k: 8}. Give prob of sequence xt. 1/132 What is prob of sequence qok when three letters picked without replacement from {x: 2, q: 4, s: 1, o: 2, k: 2, v: 1}? 2/165 Two letters picked without replacement from {g: 5, n: 8}. Give prob of sequence ng. 10/39 Four letters picked without replacement from kwwkwwkwkw. What is prob of sequence wwww? 1/14 Four letters picked without replacement from xxjxxxxxrrlxxxx. Give prob of sequence lxjr. 11/16380 Four letters picked without replacement from ttfftfttthtqftft. What is prob of sequence ffhf? 1/728 What is prob of sequence ccwq when four letters picked without replacement from cccwqtqqtwtww? 3/715 Calculate prob of sequence zh when two letters picked without replacement from iiihiyzzizziieyezi. 5/306 What is prob of sequence qi when two letters picked without replacement from {i: 2, q: 2}? 1/3 Two letters picked without replacement from ppbssbbbb. What is prob of sequence sp? 1/18 Two letters picked without replacement from erkqerkqqeqqqqk. Give prob of sequence qq. 1/5 Three letters picked without replacement from hyhhyyyhyyyhh. What is prob of sequence hhh? 10/143 Three letters picked without replacement from {y: 5, n: 7}. Give prob of sequence nyy. 7/66 Four letters picked without replacement from {a: 16, k: 4}. Give prob of sequence akka. 8/323 Three letters picked without replacement from {p: 2, s: 10, y: 4}. What is prob of sequence pys? 1/42 Two letters picked without replacement from {h: 1, s: 3, d: 5, p: 1, z: 2, x: 1}. Give prob of sequence xs. 1/52 Three letters picked without replacement from ccccccc. What is prob of sequence ccc? 1 Calculate prob of sequence vuy when three letters picked without replacement from {y: 1, v: 2, j: 1, u: 1}. 1/30 Calculate prob of sequence sqq when three letters picked without replacement from senkrqsnq. 1/126 Three letters picked without replacement from qataxaatazxxa. Give prob of sequence zqa. 1/286 Four letters picked without replacement from {p: 13, x: 3, e: 3}. What is prob of sequence eeex? 1/5168 Three letters picked without replacement from {c: 1, t: 1, z: 1, a: 2}. Give prob of sequence cta. 1/30 Calculate prob of sequence gg when two letters picked without replacement from htghtttgghtgtgtt. 1/12 Three letters picked without replacement from {f: 2, k: 1, r: 1, j: 1, h: 2}. What is prob of sequence jkf? 1/105 What is prob of sequence mjk when three letters picked without replacement from {m: 10, j: 1, k: 7}? 35/2448 Calculate prob of sequence tst when three letters picked without replacement from {s: 2, t: 5}. 4/21 Four letters picked without replacement from {b: 1, a: 12}. What is prob of sequence aaab? 1/13 Three letters picked without replacement from poyooppyo. What is prob of sequence yoy? 1/63 Three letters picked without replacement from wjyuyu. Give prob of sequence juw. 1/60 Two letters picked without replacement from mwwwwwwwwwwfb. What is prob of sequence mb? 1/156 Two letters picked without replacement from {r: 1, m: 1, u: 1}. What is prob of sequence ur? 1/6 What is prob of sequence irrr when four letters picked without replacement from {i: 5, m: 1, r: 4}? 1/42 Two letters picked without replacement from {x: 1, l: 1, q: 1, i: 2}. What is prob of sequence xi? 1/10 Two letters picked without replacement from {g: 3, h: 3, y: 5}. What is prob of sequence hh? 3/55 Four letters picked without replacement from cwxeeeegeexeeegcehg. What is prob of sequence hcwc? 1/46512 Calculate prob of sequence zzfz when four letters picked without replacement from ctzthzfztxft. 1/990 Four letters picked without replacement from ohqbffbo. What is prob of sequence bhfb? 1/420 Three letters picked without replacement from nnanaasnnan. What is prob of sequence nna? 4/33 What is prob of sequence mz when two letters picked without replacement from aazakamaafaaamaz? 1/60 Three letters picked without replacement from splssszsssssssii. What is prob of sequence zil? 1/1680 Four letters picked without replacement from uuqaquauauuuquqau. Give prob of sequence qquu. 9/595 Four letters picked without replacement from ylllylllkyppk. Give prob of sequence plpl. 1/286 Calculate prob of sequence hy when two letters picked without replacement from jbarabjjyhar. 1/132 What is prob of sequence xxwo when four letters picked without replacement from {w: 8, x: 4, o: 1, y: 1, g: 2}? 1/455 Calculate prob of sequence aw when two letters picked without replacement from wpdaplppd. 1/72 Three letters picked without replacement from {y: 4, c: 1, p: 3}. Give prob of sequence ypy. 3/28 Three letters picked without replacement from {f: 6, x: 4}. What is prob of sequence xff? 1/6 What is prob of sequence php when three letters picked without replacement from ppphpphhph? 1/6 Four letters picked without replacement from {x: 11, r: 2, k: 2}. What is prob of sequence rkxk? 11/8190 Calculate prob of sequence lli when three letters picked without replacement from hruirgrrgggulrhg. 0 Calculate prob of sequence bbm when three letters picked without replacement from mbbbm. 1/5 Four letters picked without replacement from {w: 2, l: 2, c: 1, q: 1, o: 1}. Give prob of sequence locw. 1/210 Calculate prob of sequence hllh when four letters picked without replacement from llllhlllllllhlllhlh. 35/1292 Four letters picked without replacement from {x: 4, a: 4, z: 3, s: 1, q: 2}. Give prob of sequence qqsx. 1/3003 What is prob of sequence csi when three letters picked without replacement from {h: 2, s: 3, c: 1, i: 1}? 1/70 Two letters picked without replacement from xnnqxxnana. Give prob of sequence xx. 1/15 Four letters picked without replacement from {w: 3, k: 2, s: 2, h: 2, e: 2, b: 4}. Give prob of sequence wbwk. 2/1365 What is prob of sequence gggw when four letters picked without replacement from {t: 2, g: 5, w: 3, l: 3}? 3/286 Calculate prob of sequence xm when two letters picked without replacement from {b: 1, y: 1, m: 1, x: 2}. 1/10 Calculate prob of sequence dad when three letters picked without replacement from {a: 1, z: 1, t: 2, d: 4, e: 1}. 1/42 Four letters picked without replacement from {c: 2, b: 4, h: 4, z: 4}. What is prob of sequence zzhb? 8/1001 Calculate prob of sequence betb when four letters picked without replacement from {t: 1, d: 1, b: 5, e: 10}. 5/1428 Three letters picked without replacement from bqbbqbbbb. Give prob of sequence bqq. 1/36 Two letters picked without replacement from {t: 6, z: 3, v: 1, a: 2}. Give prob of sequence vv. 0 Calculate prob of sequence ct when two letters picked without replacement from tddddccccidddtct. 1/16 What is prob of sequence ll when two letters picked without replacement from lulull? 2/5 Calculate prob of sequence vn when two letters picked without replacement from {v: 1, i: 3, n: 1}. 1/20 Calculate prob of sequence urr when three letters picked without replacement from nurrrur. 4/35 Four letters picked without replacement from {p: 7, o: 5, y: 2}. Give prob of sequence yopy. 5/1716 Calculate prob of sequence dsld when four letters picked without replacement from pppppdpysspppdljpy. 1/18360 Four letters picked without replacement from {f: 3, d: 2}. Give prob of sequence dfdf. 1/10 Two letters picked without repl
{ "pile_set_name": "DM Mathematics" }
third derivative of 8*r**2 - 132*r**4 - w*r**4 + 266*r**4 + 49*r**5 - 2*r wrt r? 2940*r**2 What is the third derivative of -1101*j + 1379*j**4 + 2212*j - 1075*j - 70*j**2 wrt j? 33096*j Let g(d) be the second derivative of 299*d**6/6 + 3745*d**2/2 + 2091*d. What is the derivative of g(i) wrt i? 5980*i**3 Let l(a) = -670*a**3 - 15*a - 23. Let q(m) = 671*m**3 + 13*m + 24. Let y(f) = -3*l(f) - 2*q(f). Find the second derivative of y(u) wrt u. 4008*u Let w(h) = 1414*h**4 + 1358*h**2 + 2*h - 4. Let k(v) = -1416*v**4 - 1358*v**2 - 3*v + 6. Let s(b) = -2*k(b) - 3*w(b). Find the third derivative of s(m) wrt m. -33840*m Let z(j) = 139*j - 1001. Let o(m) = 4*m - 1. Let x(k) = 6*o(k) + 2*z(k). Find the first derivative of x(c) wrt c. 302 Differentiate 188*g**2 - 100*g**2 + 5880 + 160*g**2 - 140*g**2 - 6*g wrt g. 216*g - 6 What is the third derivative of -1567 + 2*p**2 + 510*p**3 - 733 + 307*p**3 - 79*p**3 + 616*p**3 wrt p? 8124 Let c(m) = -79*m**3 - 11*m**2. Let y(w) = -159*w**3 - 23*w**2. Let s = -8 - -2. Let x(z) = s*y(z) + 11*c(z). What is the third derivative of x(i) wrt i? 510 Let s(b) = 5*b + 4. Let c be s(0). Let i(j) = -73*j + 42. Let t(f) = f + 1. Let q(n) = c*t(n) - i(n). Find the first derivative of q(m) wrt m. 77 Find the third derivative of -1041*n**2 + 2060*n**2 - 1039*n**2 - 6 - 1036*n**5 wrt n. -62160*n**2 Let b = -24176/5 - -4836. Let z(v) be the first derivative of 0*v**4 + 5*v**3 - b*v**5 - 22 + 0*v + 0*v**2. Find the third derivative of z(d) wrt d. -96*d What is the third derivative of -7 - 81*w**2 + 17 - w + 59984*w**3 - 68573*w**3 wrt w? -51534 Let u = -185 - -250. What is the derivative of u - 15*m + 11*m - 11*m - 15*m wrt m? -30 Let c(g) = -68 - 68 - 63 - 18*g + 266 - 174*g**2 - 63. Let x(o) = o**2 - 2*o. Let t(w) = -c(w) + 3*x(w). What is the second derivative of t(m) wrt m? 354 What is the second derivative of -401438 + 477*o**2 + 284*o**2 + o**4 - 57*o + 401442 wrt o? 12*o**2 + 1522 Differentiate 772104*a - 2975 + 1254*a**2 + 593 - 772104*a with respect to a. 2508*a Let s(z) = 3766*z - 9308. Let p(l) = -22596*l + 55769. Let u(k) = 6*p(k) + 37*s(k). Differentiate u(m) with respect to m. 3766 Let j(b) be the first derivative of 20*b**4/3 + 251*b**2/2 + 183*b + 78. Let y(q) be the first derivative of j(q). What is the first derivative of y(i) wrt i? 160*i Let q(y) = 80*y - 152. Let r(f) = -39*f + 76. Let k be (-18)/(-3) + (5 - 2)/(-3). Let p(d) = k*r(d) + 2*q(d). Differentiate p(l) wrt l. -35 Let i(n) be the third derivative of 1/14*n**7 + 170*n**2 - 13*n**3 + 0 + 0*n + 0*n**4 + 0*n**6 + 1/60*n**5. Differentiate i(k) with respect to k. 60*k**3 + 2*k Suppose -q + 0*q + 3*g + 49 = 0, -q + 2*g = -52. Find the first derivative of 28*p - 24*p + q - 21*p - 39*p wrt p. -56 Let o(k) = -3*k**2 + 42*k + 4. Let h = 135 + -138. Let r(z) = -3*z**2 + 41*z + 3. Let w(v) = h*o(v) + 4*r(v). What is the second derivative of w(f) wrt f? -6 What is the third derivative of -2*p**4 - 1100*p**3 + 197688*p**2 - 197695*p**2 + 2*p**4 + 88*p + 5*p**5 - 4*p**5 wrt p? 60*p**2 - 6600 Let w be (-75)/(-20) + -4 + 2/8. Let l(c) = -2*c + 14. Let j be l(w). What is the first derivative of -44 - 39 + 91 - j*o**3 wrt o? -42*o**2 Let v(p) be the second derivative of 0*p**3 + 0 + 0*p**4 - 127/2*p**2 + 1/4*p**5 - 55*p. Find the first derivative of v(s) wrt s. 15*s**2 Let i(b) = b**2 + 13*b - 1. Let p(m) = -368*m**2 + 1378*m + 3. Let k(t) = -3*i(t) - p(t). What is the second derivative of k(z) wrt z? 730 What is the third derivative of 3*b**5 - 3218*b**2 - 10581*b**3 + 5337*b**3 + 5593*b**3 wrt b? 180*b**2 + 2094 Let a(z) = 4938*z + 3976. Let o(y) = -4*y + 6. Let d(c) = -a(c) - 10*o(c). Find the first derivative of d(k) wrt k. -4898 Let h(b) be the third derivative of -1531*b**9/252 - 1729*b**5/30 + 31*b**2 - 3*b. What is the third derivative of h(a) wrt a? -367440*a**3 Let p(c) = 1036*c**4 + 4*c**3 + 4*c**2 + 5. Let d(b) = -2*b**4 - b**3 - b**2 - 3*b - 1. Let j(l) = -4*d(l) - p(l). What is the second derivative of j(m) wrt m? -12336*m**2 Find the third derivative of 513*p**2 - 358*p**2 + 813*p**2 + 1101*p**2 + 4121*p**6 + 2800*p**2 wrt p. 494520*p**3 Let r be (-69)/(-6) - (-7)/(-14)*-3. Find the second derivative of -10 - 6*k - 10*k**3 - r*k**3 + 29*k**3 - 7*k**5 - 12*k**3 - 5*k**3 wrt k. -140*k**3 - 66*k Let i(x) be the first derivative of -40*x**2 - 11/2*x**4 + 0*x - x**3 + 41. What is the second derivative of i(h) wrt h? -132*h - 6 Let i(v) = 19*v - 58. Let j be i(3). Let q(y) = -78*y**2 + y - 1. Let x(z) = -z**2 + z. Let f(a) = j*q(a) + 5*x(a). Find the second derivative of f(m) wrt m. 146 Let l(b) be the second derivative of 7*b**6/30 - b**5/2 - b**4/3 + b**3/2 + 1115*b**2 + b - 10766. Find the second derivative of l(f) wrt f. 84*f**2 - 60*f - 8 Let q(n) be the third derivative of 31*n**8/336 - 8*n**7/105 + 83*n**4/24 + 2*n**3/3 - 1865*n**2 + 1. What is the second derivative of q(s) wrt s? 620*s**3 - 192*s**2 Find the third derivative of -1 - 4*q + 577*q**4 + 4664*q**4 + 5*q - 568*q**2 wrt q. 125784*q Let h(a) = 2*a**2 - 15*a - 22. Let z be h(9). Find the third derivative of z*l**2 + 2*l**3 - 41*l**4 - 7*l**4 - 68*l**2 - 3*l**2 wrt l. -1152*l + 12 Let l(k) be the second derivative of -48*k + 11/6*k**4 + 1/2*k**2 - 67/30*k**6 + 0*k**5 + 2 + 0*k**3. What is the third derivative of l(z) wrt z? -1608*z Suppose 3*b = -2*a + 53, -b + 6*b - 95 = -5*a. Differentiate -36*z**4 + 59*z**4 + b*z**4 + 22*z**4 + 35 wrt z. 240*z**3 Find the third derivative of -6 - 8 - 123*f**2 + 14 - 196*f**4 - 428*f**4 wrt f. -14976*f Let c = 218 - 39. Find the second derivative of c*j - 90*j + 7*j**3 - 91*j - 11 wrt j. 42*j Let t(f) be the second derivative of 8623*f**4/12 + 13*f**3/6 - 37*f**2/2 + 518*f + 4. Find the second derivative of t(q) wrt q. 17246 Let w be 24 - 19 - (-9)/(-3). Find the third derivative of 27*f**w - 37 + 17*f**2 + 339*f**3 + 35 wrt f. 2034 Let i(m) = -m + 68. Let v be i(22). What is the second derivative of 119*o**2 - 9*o + v*o - 52*o**2 wrt o? 134 Suppose -7*g + 18 + 17 = 0. Suppose -u - 4*u + 25 = -4*w, g*u - 25 = w. What is the third derivative of -21*z**u + 4*z**5 - 6*z**5 + 7*z**2 + 5*z**5 wrt z? -1080*z**2 Let q(s) = s**3 + 26*s**2 - 28*s - 21. Let z be q(-27). Find the third derivative of j**3 + 5*j**4 - 8 - z*j**4 - 13 + 3*j**2 + 19 wrt j. -24*j + 6 Let k be (13 - 11) + 4*1/2. Differentiate 82 + 50*v**4 + 3*v**k - 14*v**4 - 13 with respect to v. 156*v**3 Let v = 1465 - 2123. Let d be 2/(-9) - v/126. What is the second derivative of 9*i**5 + 3*i + 5*i**d - 4*i wrt i? 280*i**3 Let f(s) be the second derivative of -s**6/10 - s**3/6 - 626*s**2 - 8489*s. Differentiate f(o) with respect to o. -12*o**3 - 1 Find the second derivative of -3*c + 28571417 + 0*c**2 + 0*c**2 + 4202*c**3 - 28571094 wrt c. 25212*c Let m(v) = 9*v**2 - 41*v - 64. Let y be m(6). Let n(f) be the second derivative of 0 + 6*f**2 + 4/3*f**3 - y*f. Find the first derivative of n(p) wrt p. 8 Let n(t) be the third derivative of -t**7/105 - 667*t**6/120 + t**5/20 + 10861*t**4/24 - 7447*t**2. What is the second derivative of n(c) wrt c? -24*c**2 - 4002*c + 6 What is the second derivative of 1671*g - 5*g**3 - 683*g**2 + 642*g**2 + 64*g - 56*g wrt g? -30*g - 82 Let w = -28 - -31. Suppose -c + 8 = w*c. Differentiate 10 + 7*k**2 + 5*k**4 + 14 - 7*k**c with respect to k. 20*k**3 Let h be (13/((-26)/28))/(0 - 2). Let n(r) = r + 8. Let a be n(-4). Differentiate 25*k**a - 4*k**4 - 15 + h*k**4 with respect to k. 112*k**3 Let v = 36 - 43. Let n(l) = -l**2 - 9*l - 6. Let s be n(v). Differentiate -11*m + s*m - m + 10*m + 7 wrt m. 6 Let j(y) = -y**2 - 18*y - 15. Let i be j(-14). Find the second derivative of 6 - 2*u**4 - 30*u**4 - 7 + i*u - 7*u**4 wrt u. -468*u**2 Let u(v) = 3*v**3 + 5*v**2 + 2*v. Let c(m) = 9672*m**4 + 15*m**3 + 25*m**2 + 10*m + 7675. Let j(r) = c(r) - 5*u(r). What is the derivative of j(w) wrt w? 38688*w**3 Let t = -195 + 267. Find the first derivative of -t - 34*q + 10*q + 19*q + 20*q - 2*q**3 wrt q. -6*q**2 + 15 Let a(m) = 5630*m**3 - 9*m + 11912. Let q(h) = -12667*h**3 + 20*h - 26802. Let x(y) = -20*a(y) - 9*q(y). Differentiate x(w) with respect to w. 4209*w**2 Let p(i) = -1. Let m(y) = 41*y + 24. Let w(k) = -27*k - 16. Let v(c) = -5*m(c) - 8*w(c). Let f(s) = -12*p(s) - 3*v(s). Differentiate
{ "pile_set_name": "DM Mathematics" }
he greatest common divisor of 14 and 4417? 7 Calculate the greatest common divisor of 13 and 533. 13 What is the greatest common factor of 200 and 92? 4 What is the greatest common divisor of 6242 and 2? 2 Calculate the highest common factor of 432 and 45. 9 Calculate the highest common divisor of 92 and 161. 23 Calculate the greatest common divisor of 1 and 1452. 1 What is the greatest common factor of 1807 and 26? 13 What is the highest common divisor of 1 and 43? 1 Calculate the greatest common divisor of 74 and 112. 2 Calculate the greatest common divisor of 5934 and 2. 2 What is the highest common factor of 693 and 63? 63 Calculate the highest common factor of 6948 and 27. 9 What is the greatest common divisor of 1837 and 2171? 167 Calculate the highest common factor of 1044 and 116. 116 What is the highest common factor of 30 and 8870? 10 Calculate the highest common factor of 1743 and 15189. 249 Calculate the greatest common divisor of 6 and 222. 6 What is the highest common divisor of 1048 and 8? 8 Calculate the greatest common factor of 12 and 372. 12 Calculate the greatest common divisor of 900 and 270. 90 Calculate the highest common divisor of 243 and 3. 3 What is the highest common divisor of 2585 and 5? 5 Calculate the greatest common factor of 320 and 128. 64 What is the highest common divisor of 550 and 22? 22 What is the highest common divisor of 2414 and 119? 17 Calculate the greatest common divisor of 3 and 512. 1 Calculate the highest common divisor of 13215 and 15. 15 What is the greatest common divisor of 3681 and 117? 9 What is the highest common factor of 20311 and 38? 19 Calculate the greatest common divisor of 265 and 1272. 53 Calculate the highest common divisor of 42 and 364. 14 Calculate the greatest common factor of 213 and 11147. 71 What is the highest common factor of 25 and 775? 25 What is the greatest common divisor of 56 and 16? 8 Calculate the highest common factor of 360 and 392. 8 What is the greatest common divisor of 63 and 216? 9 Calculate the greatest common factor of 15 and 265. 5 Calculate the greatest common factor of 24 and 150. 6 What is the greatest common factor of 2 and 166? 2 Calculate the greatest common factor of 3 and 45. 3 Calculate the greatest common factor of 1323 and 81. 27 What is the greatest common factor of 19 and 19? 19 What is the highest common factor of 129 and 6407? 43 What is the greatest common divisor of 7960 and 40? 40 What is the greatest common divisor of 3864 and 42? 42 Calculate the greatest common factor of 4433 and 143. 143 Calculate the highest common divisor of 1555 and 15. 5 Calculate the greatest common divisor of 148 and 37. 37 What is the highest common factor of 1375 and 55? 55 What is the greatest common factor of 104 and 286? 26 Calculate the highest common factor of 5 and 1255. 5 What is the highest common divisor of 111 and 925? 37 What is the greatest common divisor of 31 and 341? 31 Calculate the greatest common divisor of 1614 and 6. 6 What is the greatest common divisor of 728 and 7? 7 Calculate the highest common factor of 143 and 3003. 143 Calculate the highest common factor of 588 and 532. 28 What is the greatest common factor of 485 and 194? 97 Calculate the greatest common divisor of 40 and 110. 10 Calculate the highest common divisor of 12 and 44. 4 Calculate the highest common factor of 1012 and 44. 44 What is the highest common divisor of 480 and 15? 15 What is the greatest common divisor of 1264 and 152? 8 What is the highest common factor of 2 and 340? 2 What is the greatest common factor of 29 and 638? 29 What is the greatest common factor of 600 and 2040? 120 What is the greatest common factor of 165 and 485? 5 What is the highest common factor of 224 and 12? 4 What is the highest common divisor of 46 and 46? 46 Calculate the greatest common factor of 425 and 15. 5 Calculate the highest common factor of 11 and 88. 11 What is the greatest common factor of 87 and 17139? 87 Calculate the highest common factor of 5145 and 45. 15 Calculate the highest common divisor of 549 and 477. 9 Calculate the highest common divisor of 5163 and 6. 3 What is the highest common factor of 1812 and 12? 12 Calculate the greatest common divisor of 44 and 396. 44 Calculate the highest common factor of 1333 and 155. 31 What is the highest common factor of 54 and 18954? 54 Calculate the greatest common divisor of 28 and 1372. 28 Calculate the highest common divisor of 57 and 17499. 57 What is the highest common divisor of 528 and 768? 48 What is the greatest common divisor of 140 and 28? 28 What is the highest common factor of 136 and 8? 8 Calculate the highest common factor of 24 and 108. 12 Calculate the highest common divisor of 1586 and 2318. 122 Calculate the greatest common divisor of 638 and 174. 58 Calculate the greatest common divisor of 450 and 600. 150 What is the highest common divisor of 572 and 66? 22 Calculate the greatest common divisor of 414 and 18. 18 What is the highest common factor of 25636 and 17? 17 What is the highest common factor of 10 and 32? 2 What is the highest common factor of 21 and 13839? 21 What is the greatest common divisor of 2464 and 220? 44 Calculate the greatest common factor of 884 and 20. 4 Calculate the highest common divisor of 33 and 9537. 33 Calculate the highest common factor of 73 and 16425. 73 What is the greatest common divisor of 1102 and 290? 58 Calculate the highest common factor of 12 and 102. 6 Calculate the highest common factor of 90 and 144. 18 Calculate the greatest common divisor of 13690 and 10. 10 Calculate the greatest common factor of 217 and 2807. 7 What is the highest common factor of 1248 and 39? 39 Calculate the highest common divisor of 4824 and 360. 72 Calculate the highest common factor of 17 and 2227. 17 Calculate the highest common divisor of 16 and 1352. 8 What is the greatest common divisor of 17 and 114937? 17 Calculate the greatest common divisor of 667 and 1421. 29 Calculate the greatest common factor of 2745 and 45. 45 What is the greatest common divisor of 124 and 186? 62 Calculate the greatest common factor of 1146 and 123. 3 What is the highest common factor of 80 and 784? 16 What is the greatest common divisor of 90 and 90? 90 What is the greatest common divisor of 96 and 12? 12 Calculate the greatest common divisor of 6 and 750. 6 What is the highest common factor of 10 and 249? 1 What is the highest common factor of 767 and 472? 59 What is the highest common divisor of 128 and 384? 128 What is the greatest common divisor of 6669 and 45? 9 What is the greatest common divisor of 3796 and 1460? 292 Calculate the highest common divisor of 980 and 224. 28 What is the greatest common divisor of 32 and 1? 1 What is the greatest common divisor of 57 and 471? 3 What is the greatest common divisor of 71 and 11147? 71 Calculate the greatest common factor of 287 and 413. 7 What is the greatest common divisor of 168 and 1448? 8 Calculate the highest common divisor of 256 and 12. 4 What is the greatest common divisor of 912 and 2622? 114 What is the greatest common factor of 209 and 57? 19 What is the highest common factor of 83 and 5395? 83 What is the greatest common divisor of 511 and 7? 7 What is the highest common divisor of 35583 and 818? 409 What is the greatest common factor of 17 and 1581? 17 What is the greatest common divisor of 14004 and 36? 36 What is the greatest common divisor of 828 and 184? 92 Calculate the greatest common factor of 20 and 54210. 10 Calculate the greatest common divisor of 136 and 15164. 68 Calculate the highest common factor of 45380 and 20. 20 Calculate the highest common divisor of 209 and 275. 11 Calculate the greatest common divisor of 27 and 837. 27 What is the greatest common factor of 19519 and 393? 131 What is the highest common divisor of 287 and 697? 41 Calculate the highest common factor of 27 and 882. 9 What is the highest common divisor of 8483 and 68? 17 What is the greatest common divisor of 480 and 3168? 96 What is the highest common divisor of 195 and 1020? 15 Calculate the highest common factor of 1914 and 132. 66 Calculate the highest common divisor of 345 and 120. 15 What is the highest common divisor of 4067 and 332? 83 Calculate the gr
{ "pile_set_name": "DM Mathematics" }
2 wrt v. 1584*y**2 Differentiate 6*n**3*w**2 - 863*n**3 - 86*n*w**3 wrt w. 12*n**3*w - 258*n*w**2 What is the third derivative of 1416*a**4 + 539*a**2 wrt a? 33984*a Find the third derivative of 27*j**3*n**3 + 2*j**3*n**2 + 12*j**2*n**3 + 1469*j**2*n**2 wrt n. 162*j**3 + 72*j**2 Find the third derivative of 23*a**5*y**2 - 28*a**4*y**3 - 335*a**2*y**3 wrt a. 1380*a**2*y**2 - 672*a*y**3 Differentiate 270*u**4 + 148 with respect to u. 1080*u**3 Differentiate 209*d**2 + 111 with respect to d. 418*d What is the second derivative of -4*i**3*o - 32*i**2*o - 10*i*o - o wrt i? -24*i*o - 64*o What is the third derivative of -4*f**5 - 194*f**4 + 46*f**2 - 13 wrt f? -240*f**2 - 4656*f What is the third derivative of -514*a**6 + 287*a**2 wrt a? -61680*a**3 Find the second derivative of -12*g*i**3*k**2 - g*i**3 - 634*g*i**2 - 514*g*i*k**2 + 2*g*k wrt k. -24*g*i**3 - 1028*g*i What is the second derivative of 13401*q**2 - 8124*q? 26802 What is the third derivative of -11092*c**4*h - 36*c**2*h + 17*c wrt c? -266208*c*h What is the third derivative of -3136*x**4 + 10*x**2 - 405*x? -75264*x Find the second derivative of 799*x**4 + 23*x - 3. 9588*x**2 What is the second derivative of 231*a**3*s**2 - 2*a**3*s - 7*a**3 + a**2 wrt s? 462*a**3 What is the third derivative of 68*d**6 - 2*d**3*i**2 - 5*d**3 - d**2 + 882*i**2 wrt d? 8160*d**3 - 12*i**2 - 30 What is the first derivative of -406*k - 288 wrt k? -406 What is the second derivative of -4*u**4 + 92*u**3 - 8931*u? -48*u**2 + 552*u Find the third derivative of 179*a**3 + 17*a**2 wrt a. 1074 What is the third derivative of 1058*x**5 - 1258*x**2 + 2*x? 63480*x**2 Find the third derivative of -1465*o**6 + 179*o**2 + 3. -175800*o**3 What is the third derivative of -5*s**4 - 121*s**3 + 8528*s**2? -120*s - 726 What is the second derivative of 2556*j**2*y**2 - 90*j*y**2 - y**2 + y wrt j? 5112*y**2 What is the first derivative of 422*z**4 - z + 280? 1688*z**3 - 1 Differentiate -f**2*l + f*l*v + 55*f*l + f*v + 7*l*v - 14*l - 3*v with respect to f. -2*f*l + l*v + 55*l + v Find the second derivative of 19*g**2*x + 33*g**2 + 225*g*x + 4*g wrt g. 38*x + 66 Differentiate 2644*o**2 - 2*o - 5141 wrt o. 5288*o - 2 Find the third derivative of -560*h**4 + h**3 + 174*h**2 + h wrt h. -13440*h + 6 Find the second derivative of -2*h**3*k**3 + 3*h**3 + 3*h*k + 34*k**4 - 2 wrt k. -12*h**3*k + 408*k**2 Find the third derivative of -1528*u**6 - 2*u**2 - 275 wrt u. -183360*u**3 Find the second derivative of 887*b**3 - 2*b**2*h**2 - 8*b**2*h + 4*b*h**2 + 82*b + 1 wrt b. 5322*b - 4*h**2 - 16*h What is the derivative of -v**3 + 487*v**2 - 615 wrt v? -3*v**2 + 974*v Differentiate -33*u**2 - 8*u + 841. -66*u - 8 What is the third derivative of 208*a**3*w**3 + 4*a**3*w + 2*w**3 - 62*w**2 wrt w? 1248*a**3 + 12 Find the third derivative of -247*m**3 - 5*m**2 - 6. -1482 Find the third derivative of -21*r**2*v**3 + r**2 + 3*r*v**3 - 10*v**2 wrt v. -126*r**2 + 18*r What is the derivative of -2*h**2 - 909*h + 2005 wrt h? -4*h - 909 What is the third derivative of 2475*p**4 - 6162*p**2? 59400*p Differentiate -1328*v**2 + 72 with respect to v. -2656*v What is the second derivative of -t**3 - 82*t**2 + 215*t wrt t? -6*t - 164 What is the second derivative of -16*r**3*s**2*x + 25*r**2*s**2*x - 3*r*s**2*x + 2*r*s**2 - 9*r*s*x + x wrt r? -96*r*s**2*x + 50*s**2*x What is the derivative of 36*m**2*r**2 - 12*m**2 - 3*m*r**2 wrt r? 72*m**2*r - 6*m*r What is the third derivative of 524*h**6 + 180*h**2 + 2 wrt h? 62880*h**3 What is the second derivative of -26*j*v**2 + 40*j*v + 57*v**2 - 20*v wrt v? -52*j + 114 Differentiate -j**3 + 33*j**2 + 195. -3*j**2 + 66*j Find the third derivative of -28*k**4 - 14*k**3 - 510*k**2. -672*k - 84 Differentiate 157*f + 208. 157 Find the third derivative of 1210*p**6 + 2*p**5 - 2*p**3 + 4236*p**2 wrt p. 145200*p**3 + 120*p**2 - 12 What is the second derivative of -2*y**3 - 121*y**2 + 122*y? -12*y - 242 Find the first derivative of -52*h**2 + 274 wrt h. -104*h What is the derivative of 100*n**3*p - 4*n**3 + 29*p - 3 wrt n? 300*n**2*p - 12*n**2 What is the first derivative of 5*r**2*s**2 - 276*r**2 + 74*r*s**2 + s**2 wrt s? 10*r**2*s + 148*r*s + 2*s What is the third derivative of 4442*g*j**3 - 3*g + 30*j**2 - 9 wrt j? 26652*g Differentiate -3*k**3*m*r**2 - k**3 - 2*k**2*r**2 + m**2 - 13*m*r**2 - 2*r**2 + 98*r wrt m. -3*k**3*r**2 + 2*m - 13*r**2 Differentiate -147*b - 57. -147 What is the derivative of a**2*c*i + 9*a**2*d*i + 81*a**2 + a*c*d*i + 2*c*d*i - 2*c*i wrt d? 9*a**2*i + a*c*i + 2*c*i Find the third derivative of -752*r**4 + 436*r**2. -18048*r What is the third derivative of 5*b**3*h**2*t**3 + 104*b**3*t**3 + 23*b**2*h**2*t**3 + 4*b**2*h**2*t - b**2*h*t**3 + 2*b*t**3 wrt b? 30*h**2*t**3 + 624*t**3 Find the first derivative of 2039*w + 2286. 2039 What is the third derivative of 2*m**4 + 156*m**3 + m**2 - 106 wrt m? 48*m + 936 What is the third derivative of 4114*o**6 - 5627*o**2 wrt o? 493680*o**3 Find the first derivative of -k**4 - 347*k**3 + 31*k - 21730 wrt k. -4*k**3 - 1041*k**2 + 31 What is the third derivative of -2*m**3*t**3*z**3 - 6*m**3*t**2*z**3 - 4*m**3*t*z - 38*m**2*t**3*z**2 - 2*m*z**3 wrt t? -12*m**3*z**3 - 228*m**2*z**2 What is the third derivative of -o**4*p**2 + 31*o**4 - o**3*p - 3*o**2*p**2 - 30*o**2 - 3*o wrt o? -24*o*p**2 + 744*o - 6*p What is the third derivative of 283*c**5 + 17*c**4 - 2*c**2 - 1920 wrt c? 16980*c**2 + 408*c What is the derivative of 5*f*s**3 - 65*f*s**2 - 2475*s**3 wrt f? 5*s**3 - 65*s**2 What is the third derivative of 12304*j**3*n**3 - 1329*j**3*n**2 + 5*j**3 wrt n? 73824*j**3 Differentiate 338*b**4*p**2 + 1193*p**2 with respect to b. 1352*b**3*p**2 Find the second derivative of -3*d**3*f**2*n - 83*d**3 + 18*d*f**2 - 2*f - 2*n wrt f. -6*d**3*n + 36*d Differentiate -315*f**3 - f**2 + 3*f + 6309 wrt f. -945*f**2 - 2*f + 3 Find the second derivative of 9*b**3 - 35*b**2*x + b**2 + 10*b - 5*x wrt b. 54*b - 70*x + 2 What is the derivative of -2*q**2 + 37*q*r + 83*r - 1 wrt q? -4*q + 37*r Find the second derivative of 18*m**2*z**2 - 156*m**2 + 12*m*z**2 - 5*m*z + 3*z**2 - 2*z wrt z. 36*m**2 + 24*m + 6 What is the derivative of -10864*a**2*d**4 - a**2 + 45*a + 2 wrt d? -43456*a**2*d**3 What is the second derivative of 28*s**2 - 597*s? 56 What is the second derivative of -f**3*l - 3*f**3 - 547*f**2*l - 7*f*l + 24*f - 2*l + 2 wrt f? -6*f*l - 18*f - 1094*l Find the second derivative of -g**4 + 12*g**2*q - 2*g**2 - 208*g*q + g wrt g. -12*g**2 + 24*q - 4 Find the second derivative of 14*z**3 + 11*z**2 + 1312*z. 84*z + 22 Find the second derivative of -10*b**3*h*u**2 - 2*b**3*h*u + 63*b**3*h - b**3*u + 143*b**2*h*u**2 - 3*b**2*h*u - b*h*u wrt u. -20*b**3*h + 286*b**2*h Find the third derivative of 3*i**6 - 8*i**5 - 65*i**2 + i wrt i. 360*i**3 - 480*i**2 Find the third derivative of i**3*t**5 - 2*i**3*t**2 + 5*i**2*t**5 + i - 11*t**2 wrt t. 60*i**3*t**2 + 300*i**2*t**2 What is the second derivative of 77*g**5 - 2*g**3 + 3*g**2 - 2012*g + 3? 1540*g**3 - 12*g + 6 What is the second derivative of -77*k**3 + 75*k**2 + 2*k + 1613? -462*k + 150 What is the third derivative of 10*b**5 + 2*b**3 + 2*b**2 + 16? 600*b**2 + 12 Find the second derivative of i**3*q**2 + 185*i**2*q**3 - i**2*q - 7*i**2 + 779*i*q**3 wrt i. 6*i*q**2 + 370*q**3 - 2*q - 14 Find the third derivative of 2*n*o**4*x**2 - 8*n*o**4 - 4*n*o**3*x - 2*n*o*x**2 - n*x**2 + 3*o**2*x**2 wrt o. 48*n*o*x**2 - 192*n*o - 24*n*x Find the first derivative of -4*c**4 - 101*c - 15365 wrt c. -16*c**3 - 101 What is the second derivative of 266*p**4 + p**3 - 4682*p? 3192*p**2 + 6*p What is the second derivative of 1738*g**4 - 1495*g? 20856*g**2 Find the second derivative of -96*f**3*x**2 - 256*f**3*x + 12*f*x**4 - 3 wrt x. -192*f**3 + 144*f*x**2 Find the first derivative of 75*w + 635 wrt w. 75 Differentiate -3*a**3 + a**2 + 6*a - 5042. -9*a**2 + 2*a + 6 What is the second derivative of 2*j**2*s**2 - 1039*j**2*s - 3*j*s**2 - j + 2*s + 78 wrt j? 4*s**2 - 2078*s Differentiate -819*c + 25. -819 Find the second derivative of 13258*c**2 + 10354*c wrt c. 26516 What is the third derivative of 3*a**2*c**3*s**2 + 2*a**2*c**3 + a**2 - 2*a*c*s**2 - c**2 - 22*s**2 wrt c? 18*a**2*s**2 + 12*a**2 What is the derivative of o**3 - 261*o - 460? 3*o**2 - 261 What is
{ "pile_set_name": "DM Mathematics" }
n. -1 Suppose 0 = 2*n - 4, -f - 3*n = 4*f - 21. Suppose -x = -5*c + 37, 3*x - x + 18 = f*c. Let u = 65 - 63. Solve -u*v + 0*v - c = 0 for v. -4 Let c = -3 + 3. Suppose -o - 5*g - 20 = -3*o, 5*o - 4*g - 33 = 0. Suppose o*y = 8*y - 12. Solve c + 8 = -y*h for h. -2 Let g(h) be the first derivative of -3/2*h**2 + 3*h - 1/3*h**3 + 1/4*h**4 + 5. Let o be g(2). Solve -k + 0 = o for k. -1 Let x(c) = c**3 - 26*c**2 - 55*c - 21. Let t be x(28). Solve 2 = -t*p - 5 for p. -1 Suppose -96 = -4*j - 20*j. Solve j + 1 = -z for z. -5 Suppose -3*u - 4*g = 14, u + 3*g + 3 = 2*g. Suppose -828*p = -849*p + 105. Solve -5 - p = -u*j for j. 5 Suppose 4*p = -3*a + 56, -a - 4*p - 27 = -59. Solve 0 = -3*q - 3 + a for q. 3 Let o(q) = q - 4. Let b be o(2). Let s(j) = -2*j + j + 2 - j. Let a be s(b). Solve 5*v = 1 - a for v. -1 Suppose 0 = s + 5*m - 22, 2*m + 0 = 8. Suppose -2*p - s*u - 16 = -5*p, u + 14 = 3*p. Let y be 8/(3/6 + 0). Solve 0*z - p*z = -y for z. 4 Suppose 0 = 2*l - l - 3. Suppose 0*z - l*z = j - 5, z + j - 1 = 0. Let t be (-1)/3*(157 - 157)/((-3)/(-1)). Solve -z = h - t for h. -2 Suppose -u = -6*u + 160. Suppose u = c + 1. Suppose -a - c = -3*p, -5*p = -4*p - 3*a - 13. Solve 0 = -f + 3*f - p for f. 5 Let z be 0 + ((-6)/3 - -2). Let h = 1 + z. Let g(u) = u**2 - 43*u + 225. Let y be g(37). Solve -h = 2*f - y for f. 1 Let u(t) = -t**3 - 3*t**2 + 2. Let x(z) = z**3 - z**2 + 3*z**2 + 3 - 6. Let m(d) = -3*u(d) - 4*x(d). Let j be m(0). Solve -2*s = -j*s + 12 for s. 3 Let w(j) = 2*j**3 + j**2 - 2*j + 9. Let h be w(2). Solve -h = -2*i - 35 for i. -5 Suppose -4*v = 3*c - v - 63, -4*c = -2*v - 60. Suppose c = -3*z + 2. Let t = 1 - z. Solve h = t*h for h. 0 Let t(k) = -2*k**2 + 17*k - 15. Let d be t(5). Solve -4*l = -0*l + d for l. -5 Suppose 30*i = 29*i + 3. Suppose -i = d - 0*g + 2*g, d = -g. Suppose 4*u = -3*p + 8 + 8, -2*p - d*u + 12 = 0. Solve p = -l - 5 for l. -5 Let n(s) = -s**3 - 3*s**2 + 3*s + 3. Let h be n(-2). Let b be (-2)/4*(-3 - h) + 2. Solve 4*c + 27 - 11 = b for c. -4 Let s(l) be the second derivative of -17*l**3/2 + l**2 + 4*l. Let b be s(-1). Let z = -38 + b. Solve -z = -4*g + g for g. 5 Suppose 0 = -5*n - 4*b + 7, 0 = -7*n + 5*n + 4*b + 14. Solve -65 = -n*w - 62 for w. 1 Suppose -36*x + 33*x + 59 = z, 4*x = -z + 56. Solve -2*l + 76 = z for l. 4 Let r = -41 - -30. Suppose 0 = -5*a + 42 + 43. Let g = a + r. Solve s = g*s for s. 0 Suppose -56*h + 51*h = -10. Suppose 0 = h*d + 6, -5*r + 3*r = 2*d. Solve -c - 8 = r*c for c. -2 Let o be (-3 - -2 - 20/(-5)) + 6. Solve o = 17*n - 14*n for n. 3 Let z = -705 - -717. Solve -8 = m - z for m. 4 Let h be 5/5*(-4 + 3). Let a be 5 + h/1 - -1. Suppose 3 = i - 3*f - 8, -5 = a*f. Solve n + i = 5*n for n. 2 Suppose 0 = -3*w - 3, -3*k - w - 3*w + 104 = 0. Suppose 0*s = -4*s + k. Let n = -7 + s. Solve 0*i = i - n for i. 2 Let b(d) = -d**3 + 9*d**2 - 6*d + 12. Let r be b(8). Suppose -4*v + 0*x + r = 3*x, v + 2*x - 12 = 0. Solve -m = v - 1 for m. -3 Let k be ((-3)/(-12) + (-5)/(-20))*34. Solve 3*n - 5 = -k for n. -4 Suppose -f + 18 = 2*t, -2*f - t + 4*t = -8. Solve -18 = f*x - x for x. -2 Suppose -m = 4*s - 7 - 20, 2*m = 5*s - 37. Suppose -11*i = -s*i + 32. Let w be ((-6)/(-2))/((-6)/i). Solve 2*f = f + w for f. 4 Let g = -137 + 141. Suppose -3*r = g*r - 28. Solve 5*z + 16 + r = 0 for z. -4 Let z be (-4)/(-12) - -1 - (-126)/27. Solve -8*i = -10*i - z for i. -3 Suppose 8*d - 3*d = 115. Let z = d - 38. Let r = 19 + z. Solve -r*a = -12 - 4 for a. 4 Suppose -x + 2*s = -0*s + 9, 0 = -3*x + 4*s - 17. Suppose v + 2 = 2*m, v = -v - m + x. Solve k + k = v for k. 0 Let n(t) = -5*t**3 + t**2 + 5*t + 4. Let i be n(-1). Solve i = 5*q - 5 for q. 2 Let i = 433 - 417. Solve -4*k - 8 = -i for k. 2 Suppose 10 = -5*k, 0 = 2*p + 2*k + k + 2. Let n(b) = 2 + 3*b - 2*b - 1 - 2*b**p. Let w be n(1). Solve w*m = -4*m + 4 for m. 1 Let n be -7 - (-9 + 3 + 1) - -5. Solve n*y + 24 = -5*y for y. -3 Let w(l) = -4*l + 108. Let s be w(26). Solve -2*j + s*j - 2 = 0 for j. 1 Let i(d) = -d**2 + 6*d + 13. Let o be i(7). Suppose -2*n - n - o = -3*v, 2*n + 4 = 0. Suppose -4 = -x - 0. Solve -2*b + v = -x for b. 2 Suppose 21 = 4*p - 5*s, -3*p - s = s - 10. Let m be 2/4*56/p. Solve m = -3*z + 1 for z. -2 Let n = 153 - 153. Solve -6*o + 11*o = n for o. 0 Let g = -30 + 64. Suppose v + g = l + 5, -v = 0. Suppose -o = 4*y - l, 0 = o + 2*y - 8 - 11. Solve o*d + 25 = 4*d for d. -5 Suppose -2*u - 4*l + 16 = u, -2*u + 4*l + 24 = 0. Suppose -t = -3*v - 16, -5*t - 4*v - 21 + 120 = 0. Let x be -11 + t - (4 - 0). Solve -u*r = -x*r + 12 for r. -3 Let k be (-2 + 12/16)/(1/(-4)). Suppose k*v - v = 8. Solve -5 = v*d + 1 for d. -3 Let j = 1178 + -1193. Let h be 25 + -3 + 2 + 0. Let x = j + h. Solve -3*k = -0*k - x for k. 3 Let g be (-13)/(-8) - (-39)/520*5. Let f = 9 - 6. Let n = f - 0. Solve n = -g*s + 11 for s. 4 Suppose 0*g = -3*g + 2*g. Solve -k - 6*k = g for k. 0 Suppose 0 = 2*b - 3*f + 1, f = -5 + 8. Let n be 18*(4/(-3) + 2). Let h be n/b + 22 + 1. Solve -5*o + h = 1 for o. 5 Let k(n) = n**3 - 3*n**2 + 2*n - 6. Let s be k(3). Suppose -5*q + 37 = -4*h, s*h + 2*h - 31 = -3*q. Solve -4*p + p + q = 0 for p. 3 Let y = -23 + 1. Let l = y + 26. Solve f - l*f = -12 for f. 4 Suppose 0 = 2*x - 0*x, 5*b - 20 = -4*x. Let p(d) = d**2 - 6*d + 8. Let i be p(b). Let g be 2 + 0 - (1 + -2). Solve g*a = -i*a - 12 for a. -4 Let p(b) = -b**3 + 14*b**2 + 4*b - 10. Let x be p(14). Solve c + x = -22*c for c. -2 Let u(p) be the second derivative of p**4/12 + p**3 - 3*p**2 + 2*p. Let h = -9 - -1. Let n be u(h). Solve n*w + 20 = 5*w for w. -4 Let w be 8/6 - 153/(-27). Solve -21 = -w*l + 7 for l. 4 Let l(s) = s**3 - 23*s**2 + 58*s + 45. Let w be l(20). Solve 6*g + w = g for g. -1 Suppose 0 = -3*n - 3*a + 12, -5*n + 4*a = a - 52. Solve 0 = -17*x + 13*x + n for x. 2 Let n(v) = -v**2 - 3*v + 8. Suppose 4*p = 2*r - 50, -2*r + 1 + 13 = -p. Let x be p/36 + 11/(-3). Let b be n(x). Solve -3*y = -y - b for y. 2 Let w be -4 - -18 - 4*1. Solve -11*b + w*b - 4 = 0 for b. -4 Let x = -222 - -224. Solve 4*a - x = 2 for a. 1 Suppose w - 83 = 5*y, -41 = 2*y + 3*w - 1. Let r be (-9)/3 - y - (-4 - -6). Suppose -j + 2*z + 18 = 5*z, -5*j - 3*z + 30 = 0. Solve -j*t + 0 + r = 0 for t. 4 Suppose 35*k - 38*k = -6. Suppose -k*v = 4*s - 3 - 25, s - v - 1 = 0. Solve 12 = -2*j + s*j for j. 4 Let x = -1524 + 1530. Solve -x*t + 5*t - 1 = 0 for t. -1 Let h = 7 - -47. Let r = h + -53. Solve c - 2 = r for c. 3 Suppose 17*b - 9*b - 120 = 0. Solve -b*j + 13 = -17 for j. 2 Let b be ((-6)/(-4))/((-84)/8 - -11). Solve b*o - 6*o = 6 for o. -2 Let u = 59 + -45. Suppose -u*k - 6 = -15*k. Solve 5*j = 3*j + k for j. 3 Let z = 8 + -6. Suppose -3*s = -5*q - 3, -z = -2*s + 3*q - 1. Let l be (6/s)/((-36)/96). Solve -x = -3*x + l for x. 2 Let s = 384 - 214. Solve -6*x = 164 - s for x. 1 Let p be (-20)/(-6) - (-36)/54. Suppose -5*k = -k + m, p*k + 3*m = 0. Solve 5*f + k*f - 10 = 0 for f. 2 Let x(l) = -32*l - 54. Let b be x(-2). Solve 9*z + 1 - b = 0 for z. 1 Let c(r) = -4 - 8*r - 4 + 15*r. Let s(n) = n - 1. Let t(j) = c(j) - 6*s(j). Let k be t(4). Solve h + k = 2*h for h. 2 Suppose 5*u + 4*h - 35 = 0, 2 = 2*u - h + 1. Let p be (0 - -6)*24/(-18). Let s(i) = -i**2 - 8*i. Let o be s(p). Solve -u*c + c = o for c. 0 Let k be -5 + 100/(1 + 4). Solve 13 = 7*f - k for f. 4 Suppose -2*k = 4*d + 10, -d + 15 = -5*k - 10. Solve d = 3*l - 15 + 6 for l. 3 Suppose 0 = 5*g - 3 - 2. Suppose 3*l - 2*l - 5 = -5*a, 0 = -a - l + g. Solve -k + 4 = -a for k. 5 Let f(p) = 2*p - 15. Let t(g) = -g**3 - 5*g**2 - 6*g. Suppose -5*w - 2*x - 24 = 6, 0 = 4*w - 3*x + 1. Let i be t(w). Let a be f(i). Solve 3 = k - a for k. 4 Let d(y) be the third derivative of y**5/15 + y**4/8 + y**3/2 - 8*y**2. Let w be d(-1). Solve -v - w*v = 0 for v. 0 Suppose 0*g - 11*g = -44. Solve -g*f = -2*f for f. 0 Let b(m) = -m + 8. Let c be b(6). Solve -c*l - 17 + 15 = 0 for l. -1 Suppose -v + 6*v = 75. Suppose -i - v = -2*s, -5*i + 3*i = 4*s - 18. Let c = 3842 + -3840. Solve -c*y + s = y for y. 2 Let l = -2 - -7. Let q = 62 - 60. Suppose 0 = 5*j + l*u - q*u - 3, 0 = -2*j - 3*u - 6. Solve 7 = -j*n + 1 for n. -2 Let y(l) = -l**2 - 5*l + 5. Let w be y(-5). Suppose s + 4 = w*i - 16, -3*s = 2*i - 8. Let g = 3 + s. Solve m - g = 1 for m. 4 Suppose -33*x = -25*x. Solve x = 17*i - 16*i + 4 for i. -4 Let w(b) = -
{ "pile_set_name": "DM Mathematics" }
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6240685 What is next in 54, 123, 210, 321, 462? 639 What is the next term in -1360, -1389, -1418, -1447? -1476 What is the next term in -1165, -1189, -1241, -1327, -1453, -1625, -1849? -2131 What is the next term in 55, 307, 991, 2323, 4519, 7795? 12367 What is the next term in -102317, -204638, -306959, -409280, -511601? -613922 What comes next: 12246, 24488, 36732, 48978, 61226, 73476, 85728? 97982 What is next in -2854, -2860, -2866? -2872 What is the next term in -2321, -9328, -21019, -37394, -58453, -84196? -114623 What is next in 1246, 2266, 3258, 4210, 5110, 5946? 6706 What comes next: 23315, 23310, 23305, 23300? 23295 What is next in -363, -732, -1107, -1488, -1875? -2268 What comes next: -3430, -3483, -3536, -3589, -3642? -3695 What comes next: 48, -127, -736, -1995, -4120, -7327, -11832, -17851? -25600 What comes next: 13293, 26586, 39877, 53166, 66453, 79738, 93021? 106302 What is next in -207, -663, -1115, -1311, -999, 73, 2157, 5505? 10369 What comes next: -8905, -17819, -26733, -35647, -44561, -53475? -62389 What is the next term in 622, 753, 898, 1063, 1254, 1477, 1738, 2043? 2398 What comes next: 1070, 1044, 984, 878, 714? 480 What is next in 4, 4, 18, 58, 136, 264, 454? 718 What comes next: 4325322, 4325318, 4325312, 4325304, 4325294, 4325282? 4325268 What is the next term in -5600, -5628, -5676, -5744, -5832, -5940? -6068 What comes next: 81219, 81228, 81259, 81324, 81435, 81604, 81843, 82164? 82579 What is the next term in 169792, 169787, 169782, 169777? 169772 What is next in 829416, 1658830, 2488244, 3317658, 4147072? 4976486 What is the next term in -2566, -2556, -2546, -2536? -2526 What is the next term in -627, 1727, 5637, 11091, 18077? 26583 What is next in -697, -2754, -6177, -10966? -17121 What is the next term in 1062, 2110, 3146, 4164, 5158, 6122, 7050? 7936 What is next in 1342, 2683, 4024? 5365 What is the next term in -1852, -2071, -2288, -2503? -2716 What comes next: -9216, -9219, -9232, -9261, -9312, -9391, -9504, -9657? -9856 What is the next term in 6013, 12023, 18033, 24043, 30053? 36063 What comes next: -5089, -10178, -15267, -20356, -25445? -30534 What is next in 4529, 9077, 13625, 18173? 22721 What is next in 2864, 2951, 3082, 3245, 3428? 3619 What is the next term in 89, 194, 307, 440, 605, 814, 1079, 1412? 1825 What is the next term in 3349, 3332, 3295, 3232, 3137, 3004, 2827, 2600? 2317 What is next in 71, 47, 23, -1, -25, -49? -73 What is the next term in -124978, -124982, -124988, -124996, -125006? -125018 What comes next: 1585, 1539, 1463, 1357? 1221 What is the next term in -100, -686, -1672, -3064, -4868, -7090, -9736, -12812? -16324 What is next in 7388, 6759, 6140, 5537, 4956, 4403, 3884? 3405 What is the next term in -7058, -28788, -65004, -115706, -180894, -260568, -354728? -463374 What is next in -7194, -14408, -21622, -28836, -36050? -43264 What comes next: -71168, -71178, -71192, -71210, -71232? -71258 What is next in -41, -334, -1069, -2468, -4753, -8146, -12869, -19144? -27193 What comes next: 1016, 998, 982, 968, 956? 946 What is next in -895, -956, -1017
{ "pile_set_name": "DM Mathematics" }
*9/(-270))) 12 (-112)/(-12)*(-26)/78*((-1872)/91)/8 8 What is the value of 6/21*(686*1/(-3))/(928/(-696))? 49 2/403*((-168064)/384)/101 -2/93 What is the value of ((-1368)/40)/((-58)/29*(-6)/40)? -114 Calculate 69/(21*20/56*(-1)/5). -46 Calculate 16*(-9)/30*12/3120*13. -6/25 What is the value of ((192/(-160))/(18/20))/(1/36)? -48 What is (-448)/6*((-74736)/8304)/((-21)/(-2))? 64 What is ((-16)/(-24))/(((416300/(-1680))/181)/((-10)/16))? 7/23 Calculate (2/156)/(((-629)/51)/37). -1/26 Calculate (((-6)/60)/(-1))/((-931)/(-490)). 1/19 What is ((-104)/26)/(6/(-360)*6)? 40 1503/8684*((-84)/54)/14 -1/52 Evaluate 546/35*(-440)/88*2/(-6). 26 Calculate (56/(-154))/((-2120)/220). 2/53 72/42*(28*-1)/(-2)*410/164 60 (2240/(-720))/(18/1620*-4) 70 What is the value of (-3)/(-1)*1645/(-105)*-4*(-5)/(-20)? 47 Evaluate 321*29/(-3480)*40. -107 Calculate (12*(-2)/1764)/((-3)/(-3)). -2/147 What is (-3)/(-21)*-9*(-8)/3*(-33)/(-132)? 6/7 (-16245)/2052*1488/(-155) 76 What is the value of ((-178002)/(-99))/31*2/20? 29/5 What is the value of (((-28)/420*9)/(5/(-25)))/((-6)/(-128))? 64 What is ((-5)/115)/((-8)/23)? 1/8 Calculate (12/(-8400)*-84)/((8/(-10))/4). -3/5 What is the value of 106/(-84)*4*(-129990)/12380? 53 Calculate 21/462*(-1)/2. -1/44 Calculate ((-20)/78)/(((-20)/(-32))/((-35)/140)). 4/39 What is the value of (230/23)/110*3/12*0? 0 What is ((12/14)/(1784/(-7805)))/((-5)/300*3)? 75 Calculate -6*16/(-6)*(32/(-832))/(6/18). -24/13 Evaluate (7*27/630)/(407/37*(-2)/(-10)). 3/22 What is ((-1)/(-3))/(10/56*(-32436)/(-7155))? 7/17 Calculate (160975/45073)/(1/(-14)). -50 Calculate (10*17/(-255))/(1/(-57)). 38 Calculate (32/8)/((-7)/(-6)*112/1274). 39 What is 3*-1*(-41)/(22755/(-148))? -4/5 Evaluate ((((-19642)/6)/(-23))/7)/((-1)/3). -61 What is the value of (7275/30)/97*(2/(-10))/1? -1/2 What is the value of (61/5856*-160)/(5/(-51))? 17 What is (-1)/(-3)*4/(-2)*(-5160)/(-86)? -40 ((-1232)/(-4424))/22*79 1 Evaluate 56*59/(-626934)*66. -8/23 Calculate (-30)/(-378)*27504/(-221560). -2/203 What is (-98)/6*(-2322)/387*3/((-24)/(-4))? 49 Calculate ((-16767)/(-46))/(-81)*1*12. -54 (2/(-10))/((-40)/3360*-56) -3/10 What is 288/112*(8113/(-38))/61? -9 What is the value of (-13)/((-325)/10)*(-140)/(-448)? 1/8 What is (-550)/(-55)*(-306)/(-68)? 45 Evaluate ((-1380)/(-48)*4/(-2)*1)/(30/(-6)). 23/2 What is the value of ((-7)/4*(-1272)/8904)/((-4)/(320/6))? -10/3 Calculate (-369)/(-74169)*-134*2/(208/30). -5/26 Evaluate ((-945)/(-1085))/(444/10323). 81/4 Calculate (-945)/(-189)*1/5*(-10)/128*-4. 5/16 ((102/(-25925))/(3/(-5)))/(124/(-620)) -2/61 Calculate (-66)/11*(136/(-221))/8. 6/13 What is ((-4)/(-3*(-20)/(-6)))/((-13797)/(-315))? 2/219 Calculate 39/198*19/((-10621)/86). -1/33 Evaluate (-180)/246*(-61910)/(-453). -100 What is -3*(-2)/(-12)*22518/(-2919)? 27/7 Evaluate (-12)/((-240)/(-720)*(-18)/4). 8 What is (-1860)/(-248)*22/(-10)? -33/2 Calculate (298/(-2980))/(5/(-3000)). 60 (((-363)/11)/11)/((530/1325)/((-64)/(-5))) -96 Calculate 4/(-30)*-175*2/1*(-75)/50. -70 What is the value of (95/(-684)*9)/((-15)/(-480))? -40 ((-52)/70)/(((-8)/((-48)/(-6)))/((-126)/(-36))) 13/5 Evaluate ((-2057)/(-847))/(-2*4/14). -17/4 Evaluate (-13020)/(-56)*(-116)/(-290). 93 Evaluate (426/4)/((-957)/696*168/154). -71 (-10875)/375*20/(-70) 58/7 (-146082)/97388*(15*2)/((-9)/(-2)) -10 (((-1356)/565)/(27/75))/(4/(-6)*1) 10 Calculate (1710/99180)/(3/36*3). 2/29 What is ((-2301)/(-29146))/(30/95)? 1/4 What is (124394/(-222))/(1845/(-135))? 41 ((-9880)/(-8840))/((-3)/51) -19 Evaluate (24*(-11)/(-44))/((3402/12)/63). 4/3 ((-44)/((-1056)/252))/((-14)/(-6))*28/27 14/3 Calculate ((-180)/9)/(-160)*216*3. 81 What is ((9/15)/((-6)/15))/(-54*88/(-576))? -2/11 Calculate (-58)/(-2)*12*(-25)/(-300). 29 Calculate (-8)/234*6066/(-4044). 2/39 (3/((-19)/(1064/42)))/(13/(-13)) 4 ((-25)/(-20))/((-50806)/10696) -5/19 -2*(((-6675)/(-24))/(-5))/((-2730)/2184) -89 What is the value of ((-12)/99*18*(-8)/12)/((-8)/(-44))? 8 (-3*(1/2)/((-1)/(-2)))/(22533/202797) -27 What is the value of ((-1776)/3552)/(1/90)? -45 Evaluate (((-287955)/(-79))/81)/((-10)/18). -81 Calculate ((-1320)/(3200/80))/1. -33 What is the value of 5/(3770/156)*3*3/27? 2/29 Evaluate (((-8)/(-248))/((-1)/(-5)))/(27/(972/(-45))). -4/31 Evaluate 99/(-27)*3*1/2. -11/2 Calculate ((-3)/(-2))/((205/2)/(-41))*(-355)/(-568). -3/8 What is the value of (-2530)/(-276)*-10*22/(-550)? 11/3 Calculate ((-12)/(-133)*21)/((-176)/(-5016)). 54 (1/2)/(47/(20915/623)) 5/14 Calculate (-803943)/21876*(-4)/7. 21 Calculate ((-21)/5)/(28/4200*90). -7 What is the value of (((-2)/(-12)*-3)/((-26)/(-39)))/(2/(-88))? 33 Evaluate (-1881)/(-627)*(-14)/(-2). 21 Evaluate (-24)/(-9)*(-5292)/3136*(-4)/(-801). -2/89 What is (((-140)/(-240))/((-189)/(-405)))/((-3)/36)? -15 Evaluate 3*-1*(7236/(-594))/(72/(-66))*2. -67 Evaluate -33*(-10)/(-180)*(-135)/(-11)*(-161)/1932. 15/8 What is the value of 72/1376*(-111)/((-999)/(-12))? -3/43 Evaluate (-1)/((-15)/6)*(((-22680)/32)/21)/(-6). 9/4 What is 646560/37716*14/40? 6 What is 18/(-1)*(-57*(-12)/456)/(-3)? 9 Calculate 28728/122094*2/(2/(-5)*-2). 10/17 What is the value of ((-26)/780*25)/(((-3)/(-36))/(33/9460))? -3/86 Evaluate 6/35*(63/(-720))/(7*(-6)/(-105)). -3/80 64/(-6)*((-165)/528)/(95/(-456)) -16 (6/15)/(171/(-988)*-13*88/30) 2/33 Calculate ((-26)/(9152/1504))/((-12)/(-132)). -47 ((-3079440)/(-416))/(-423)*2/(-140) 1/4 (-6)/(-2)*(-130)/(-468)*42 35 (-14102)/5128*(-4)/(-550) -1/50 What is 2/(-82)*8396/8396? -1/41 Calculate (-2)/(2/(-10)*(20580/(-21))/(-49)). 1/2 What is ((-8)/(-464))/((897/52)/(-69))? -2/29 Calculate (10/(-4))/(22/(-24)*(-679)/(-16005)*-15). -30/7 Calculate (-12*(-12)/(-216))/((-6)/(-15)). -5/3 Evaluate (116/68)/((-590)/(-10030)). 29 What is the value of ((-790)/316*3/(-21))/(10/7)? 1/4 Calculate (2514/(-5447))/(6/(-52)). 4 What is the value of ((-20)/182)/((-219)/(93951/(-132)))? -5/14 What is the value of ((-722)/(-5776))/(30/(-96)*-2)? 1/5 What is the value of ((-8)/(-2)*87/(-348))/((-3)/(24/(-344)))? -1/43 Calculate ((-36)/8)/((-54)/3276*7). 39 Calculate -1*(-462)/((-168)/8)*-1. 22 Calculate (-3905)/2840*16/836. -1/38 192/35616*(-5)/(50/(-70)) 2/53 What is the value of (10/12)/1*(-900984)/10726? -70 Evaluate (11172/(-56))/(-21)*2. 19 Evaluate ((-117)/(234/40))/(-530). 2/53 ((-70)/(-8))/(255/(-1224)) -42 28/((6/132*-3)/(-3)*8) 77 (((-2974)/(-53532))/((-2)/24))/(((-2)/(-2))/(-18)) 12 Calculate (-7)/(-14)*((-8)/16)/((-3)/(24/(-4))). -1/2 What is the value of ((-12)/(-39)*16/(-6))/(1080/1620)? -16/13 Evaluate -1*(((-132)/594)/(-2))/(3/(-351)). 13 What is 10/(-2)*(-126)/1344*160? 75 Evaluate ((-33)/(1122/85))/(-5)*(-9)/((-9)/(-46)). -23 (214408/(-134005))/(2/20*(-1)/1) 16 Calculate ((-18104)/(-3796))/(22/(-143)*1). -31 Calculate -1*((-8)/(-6))/((-578)/(-867))*22/(-4). 11 What is the value of ((-1875)/1680)/25*(1440/150)/(-8)? 3/56 Calculate (39/182)/((-18)/189)*(-140)/(-504). -5/8 Calculate 0*((-1469)/(-520))/113. 0 What is the value of ((-49)/6762)/(-1*10/(-30))? -1/46 What is the value of (-76800)/61440*8/245? -2/49 What is the value of (-36)/(-2)*(-14)/16*17512/13134? -21 What is the value of (-11)/1188*-36*-249? -83 What is (283374/(-18165))/(4/(-30)*3)? 39 What is the value of (-2)/4*14818/(26290/(-110))? 31 (23100/(-16632))/(5/(-90)) 25 (260/((-183040)/45584))/(14/2) -37/4 What is 3/12*15*((-45924)/(-6665))/267? 3/31 ((-5)/((-10500)/(-35)))/((1/5)/((-56)/245)) 2/105 Evaluate (57/38)/(174/7192). 62 What is (12/((-12240)/15)*4)/(1/(-2))? 2/17 Calculate (75/(-10))/((-420)/(-2856)). -51 What is (-28*3*7/(-567))/((-50)/(-75))? 14/9 Calculate 130/(-5)*818/409. -52 (15*(-1150)/875)/((-4)/14) 69 What is the value of 37/(-3)*442143/(-419469)? 13 What is ((140/(-48))/7)/(55575/(-14820))? 1/9 Calculate 21/((-695)/7645*231/(-78)). 78 Calculate 6/(-4)*-2*16/(-72)*(-1197)/252. 19/6 What is (-448010)/3155*5/(-10)? 71 Calculate ((736/(-920))/(8/35))/(5/(-15)). 21/2 What is ((-9)/(-1845)*-5)/((-80)/820)? 1/4 What is ((476/187)/(-4))/(3/((-6)/2))? 7/11 What is (-124)/(-3)*((-5091)/8485)/(4/(-15))? 93 Calculate ((-2)/16)/(((-17)/5270*-186)/((-1)/5)). 1/24 ((-196)/35*630/(-84))/(5/((-5)/(-3))) 14 What is (-5*3/18)/(((-45180)/4176)/(-251))? -58/3 Evaluate (7/(-3))/((8680/140)/(-1674)). 63 What is the value of (10218/(-22139))/(2502/78)? -2/139 Ca
{ "pile_set_name": "DM Mathematics" }
l? 1/12240 Calculate prob of sequence nk when two letters picked without replacement from nknnnnnnnnnkknnnnn. 5/34 Calculate prob of sequence yj when two letters picked without replacement from {l: 1, j: 1, y: 1, m: 1, h: 1}. 1/20 What is prob of sequence teqr when four letters picked without replacement from {e: 5, t: 1, r: 7, q: 1}? 5/3432 Two letters picked without replacement from {i: 2, h: 6}. Give prob of sequence ii. 1/28 Four letters picked without replacement from {z: 7, f: 6}. What is prob of sequence fzff? 7/143 What is prob of sequence hpep when four letters picked without replacement from hehppoooeeopppeph? 3/476 Four letters picked without replacement from {y: 5, o: 1, p: 6, b: 7}. What is prob of sequence yopb? 35/15504 Calculate prob of sequence zi when two letters picked without replacement from {x: 1, c: 2, i: 1, s: 3, z: 2, m: 3}. 1/66 Four letters picked without replacement from kkkksbgngttt. Give prob of sequence nggb. 1/5940 Two letters picked without replacement from evjjjvvcjjvjvjvhv. Give prob of sequence jj. 21/136 Calculate prob of sequence gllu when four letters picked without replacement from uulvlgpp. 1/420 Four letters picked without replacement from {h: 1, p: 3, w: 6, z: 8}. What is prob of sequence zpzh? 7/3060 What is prob of sequence ill when three letters picked without replacement from {i: 6, k: 7, z: 3, l: 2, a: 1}? 2/969 Calculate prob of sequence klj when three letters picked without replacement from {j: 1, l: 1, k: 1}. 1/6 Four letters picked without replacement from hbbbbbbb. Give prob of sequence hbbb. 1/8 Calculate prob of sequence zkk when three letters picked without replacement from zzkzzkkkkzkzzkkk. 3/20 Three letters picked without replacement from nrrrn. What is prob of sequence rnn? 1/10 Four letters picked without replacement from kwwkkwwkwww. Give prob of sequence wkkk. 7/330 What is prob of sequence oho when three letters picked without replacement from {o: 3, h: 5}? 5/56 Two letters picked without replacement from {c: 3, f: 13}. Give prob of sequence cf. 13/80 Calculate prob of sequence rv when two letters picked without replacement from {v: 7, r: 2, g: 1, w: 1, m: 3}. 1/13 Calculate prob of sequence tr when two letters picked without replacement from {b: 1, t: 1, r: 3}. 3/20 Two letters picked without replacement from {a: 13, x: 6}. What is prob of sequence xa? 13/57 What is prob of sequence izz when three letters picked without replacement from iziizz? 3/20 Four letters picked without replacement from {f: 1, b: 4, y: 1, q: 3, u: 6}. What is prob of sequence ybbb? 1/1365 Calculate prob of sequence ix when two letters picked without replacement from xxoxybxxbxio. 1/22 What is prob of sequence sgg when three letters picked without replacement from gssrgss? 4/105 Calculate prob of sequence fr when two letters picked without replacement from bbfbbrbbbjrfkb. 2/91 Calculate prob of sequence xx when two letters picked without replacement from {x: 2, q: 1, w: 1}. 1/6 Four letters picked without replacement from rrfryrrylddfrrrlr. What is prob of sequence lryy? 3/4760 Calculate prob of sequence hllh when four letters picked without replacement from lhhhhhhlhhlh. 2/55 Calculate prob of sequence hwx when three letters picked without replacement from {z: 3, x: 1, w: 1, h: 2}. 1/105 Three letters picked without replacement from ccklc. Give prob of sequence ckl. 1/20 Four letters picked without replacement from {l: 5, c: 8, w: 4}. What is prob of sequence llll? 1/476 Three letters picked without replacement from {r: 4, z: 13, h: 3}. Give prob of sequence zhz. 13/190 What is prob of sequence xzqq when four letters picked without replacement from xxqxbzqxzgqqqzqxb? 15/1904 Four letters picked without replacement from {g: 1, r: 2, c: 1, o: 1, t: 2, f: 1}. Give prob of sequence fgrc. 1/840 What is prob of sequence bquv when four letters picked without replacement from vibuibeiiiuqiub? 1/3640 Two letters picked without replacement from jcjjbzsj. Give prob of sequence sj. 1/14 Two letters picked without replacement from offnyfo. What is prob of sequence ff? 1/7 Three letters picked without replacement from lllllllbllbl. Give prob of sequence lll. 6/11 What is prob of sequence cft when three letters picked without replacement from fddcjjcjddtfjtfdcd? 1/272 Calculate prob of sequence ms when two letters picked without replacement from {s: 3, m: 2, a: 6, g: 3, n: 3}. 3/136 Three letters picked without replacement from {m: 1, i: 1, o: 4, t: 4, r: 1, e: 1}. Give prob of sequence mmt. 0 What is prob of sequence ff when two letters picked without replacement from {f: 4, u: 2, t: 1, p: 1}? 3/14 Three letters picked without replacement from jffjejjjejfej. What is prob of sequence fje? 21/572 What is prob of sequence ex when two letters picked without replacement from llllllxllllel? 1/156 Calculate prob of sequence cc when two letters picked without replacement from {c: 6, x: 2}. 15/28 What is prob of sequence kkkq when four letters picked without replacement from kkkkfkffqfkq? 2/99 Two letters picked without replacement from {q: 3, c: 2}. Give prob of sequence cq. 3/10 Four letters picked without replacement from yyffymllmmzr. What is prob of sequence frmy? 1/660 Calculate prob of sequence wwww when four letters picked without replacement from wwwwwwwww. 1 Four letters picked without replacement from ffflllfflfzffzllf. Give prob of sequence flzf. 9/595 Four letters picked without replacement from bbbgbbgbbbbbb. What is prob of sequence bgbg? 1/78 Calculate prob of sequence jjp when three letters picked without replacement from jgjppjjpgj. 1/12 Two letters picked without replacement from {x: 4, o: 1, v: 3, a: 3}. Give prob of sequence vo. 3/110 Calculate prob of sequence oe when two letters picked without replacement from {e: 8, o: 3, l: 1, p: 5, d: 2}. 4/57 What is prob of sequence or when two letters picked without replacement from {o: 1, a: 8, r: 1, l: 1, t: 1}? 1/132 What is prob of sequence zm when two letters picked without replacement from zanmzmmmpazzaml? 2/21 Three letters picked without replacement from fysrk. Give prob of sequence rsk. 1/60 Two letters picked without replacement from {s: 1, b: 6, t: 11, k: 1}. Give prob of sequence bs. 1/57 Four letters picked without replacement from uzhuhzhuuhhuzhzuzuuh. Give prob of sequence huuz. 49/2907 Calculate prob of sequence nu when two letters picked without replacement from {n: 3, a: 2, u: 15}. 9/76 What is prob of sequence aax when three letters picked without replacement from axapppaxxxappa? 10/273 Three letters picked without replacement from {b: 5, o: 4, u: 4, l: 3}. Give prob of sequence bub. 1/42 What is prob of sequence xxk when three letters picked without replacement from jwxjxqqkjxxjqjjqjn? 1/408 Three letters picked without replacement from {v: 3, g: 2, s: 1, w: 1}. What is prob of sequence vws? 1/70 Two letters picked without replacement from tvxtvttttttft. What is prob of sequence tx? 3/52 Calculate prob of sequence rfz when three letters picked without replacement from flzrbrt. 1/105 What is prob of sequence iiix when four letters picked without replacement from zzioiizzxioiziizz? 1/272 What is prob of sequence ga when two letters picked without replacement from {a: 1, g: 2, v: 1}? 1/6 What is prob of sequence cc when two letters picked without replacement from cccjcxygcggyjg? 10/91 What is prob of sequence jz when two letters picked without replacement from hzkhkkkkhvsvkzj? 1/105 Four letters picked without replacement from yxxy. Give prob of sequence xyxy. 1/6 Three letters picked without replacement from rqtgt. Give prob of sequence grq. 1/60 Three letters picked without replacement from ddp. What is prob of sequence dpd? 1/3 Calculate prob of sequence hi when two letters picked without replacement from iipkijhhkkxk. 1/22 Three letters picked without replacement from {g: 1, o: 2, i: 1}. What is prob of sequence oog? 1/12 Four letters picked without replacement from {q: 3, h: 2, t: 9, a: 2}. What is prob of sequence qaqq? 1/3640 Calculate prob of sequence hhc when three letters picked without replacement from {s: 3, h: 7, c: 4}. 1/13 Calculate prob of sequence mmww when four letters picked without replacement from wmmmgmmgw. 5/378 Three lett
{ "pile_set_name": "DM Mathematics" }
- 5 What is the p'th term of -10, -21, -46, -91, -162, -265, -406? -p**3 - p**2 - p - 7 What is the s'th term of -102, -124, -136, -132, -106, -52, 36, 164? s**3 - s**2 - 26*s - 76 What is the o'th term of 46, 85, 124? 39*o + 7 What is the i'th term of 187, 376, 565, 754, 943, 1132? 189*i - 2 What is the l'th term of -98, -278, -562, -938, -1394? 2*l**3 - 64*l**2 - 2*l - 34 What is the z'th term of 17, 6, -5, -16, -27, -38? -11*z + 28 What is the q'th term of -29, -15, 1, 19, 39? q**2 + 11*q - 41 What is the w'th term of 604, 1213, 1822, 2431, 3040? 609*w - 5 What is the m'th term of 14, -7, -54, -139, -274? -2*m**3 - m**2 - 4*m + 21 What is the p'th term of -941, -942, -943? -p - 940 What is the p'th term of 32, 65, 98? 33*p - 1 What is the t'th term of -44, -142, -292, -488, -724? t**3 - 32*t**2 - 9*t - 4 What is the d'th term of -4, -10, -30, -70, -136, -234? -d**3 - d**2 + 4*d - 6 What is the s'th term of -40, -84, -128? -44*s + 4 What is the f'th term of 135, 269, 403? 134*f + 1 What is the k'th term of -7, -12, -15, -16, -15, -12? k**2 - 8*k What is the o'th term of -25924, -51847, -77770, -103693, -129616? -25923*o - 1 What is the k'th term of -16707, -16705, -16703, -16701, -16699? 2*k - 16709 What is the w'th term of 1, -15, -21, -11, 21? w**3 - w**2 - 20*w + 21 What is the h'th term of -21, -31, -33, -27? 4*h**2 - 22*h - 3 What is the p'th term of 239, 941, 2113, 3755? 235*p**2 - 3*p + 7 What is the f'th term of -295, -248, -201, -154, -107, -60? 47*f - 342 What is the v'th term of -37, -28, -19? 9*v - 46 What is the u'th term of 63, 276, 635, 1140, 1791, 2588? 73*u**2 - 6*u - 4 What is the r'th term of -104, -131, -158? -27*r - 77 What is the k'th term of 189, 388, 591, 798? 2*k**2 + 193*k - 6 What is the h'th term of -13, 35, 73, 95, 95? -h**3 + h**2 + 52*h - 65 What is the z'th term of 4243, 4234, 4213, 4174, 4111, 4018? -z**3 - 2*z + 4246 What is the l'th term of 2, -10, -38, -88, -166, -278, -430? -l**3 - 2*l**2 + l + 4 What is the y'th term of 327, 309, 279, 237, 183, 117, 39? -6*y**2 + 333 What is the j'th term of 51, 100, 149, 198, 247? 49*j + 2 What is the g'th term of 833, 831, 829, 827, 825, 823? -2*g + 835 What is the s'th term of -2, 18, 50, 94? 6*s**2 + 2*s - 10 What is the d'th term of 613, 587, 561, 535? -26*d + 639 What is the q'th term of 169, 327, 485? 158*q + 11 What is the x'th term of -484, -1909, -4284, -7609? -475*x**2 - 9 What is the c'th term of -69, -108, -145, -180, -213, -244, -273? c**2 - 42*c - 28 What is the x'th term of -488, -482, -464, -428, -368? x**3 - x - 488 What is the u'th term of 404, 412, 430, 464, 520, 604, 722? u**3 - u**2 + 4*u + 400 What is the f'th term of 52, 73, 94, 115, 136, 157? 21*f + 31 What is the m'th term of -395, -452, -495, -518, -515, -480, -407, -290? m**3 + m**2 - 67*m - 330 What is the w'th term of 222, 450, 678, 906? 228*w - 6 What is the m'th term of 1471, 2917, 4351, 5767, 7159, 8521? -m**3 + 1453*m + 19 What is the t'th term of -16, -14, -10, -4? t**2 - t - 16 What is the b'th term of 23, 28, 33, 38, 43, 48? 5*b + 18 What is the i'th term of 390, 783, 1176, 1569, 1962? 393*i - 3 What is the i'th term of -3447, -3448, -3449, -3450, -3451? -i - 3446 What is the z'th term of -4, -10, -16, -22? -6*z + 2 What is the l'th term of 257, 239, 221, 203? -18*l + 275 What is the a'th term of 12, 9, 10, 21, 48? a**3 - 4*a**2 + 2*a + 13 What is the p'th term of 4, -23, -98, -245, -488, -851? -4*p**3 + p + 7 What is the c'th term of -437, -401, -365, -329? 36*c - 473 What is the c'th term of -4285, -4286, -4287, -4288, -4289, -4290? -c - 4284 What is the a'th term of 244, 251, 258, 265? 7*a + 237 What is the z'th term of -82, -165, -248, -331, -414? -83*z + 1 What is the m'th term of 19, 21, 25, 31, 39, 49? m**2 - m + 19 What is the n'th term of -13, 12, 85, 230, 471, 832, 1337? 4*n**3 - 3*n - 14 What is the v'th term of -15, -7, 15, 57, 125? v**3 + v**2 - 2*v - 15 What is the y'th term of -27, -56, -85? -29*y + 2 What is the o'th term of -592, -593, -594? -o - 591 What is the n'th term of 6, 35, 84, 153, 242, 351? 10*n**2 - n - 3 What is the n'th term of 111, 116, 121? 5*n + 106 What is the r'th term of -174, -201, -240, -285, -330, -369? r**3 - 12*r**2 + 2*r - 165 What is the z'th term of -22, 0, 22, 44? 22*z - 44 What is the y'th term of 46, 94, 142? 48*y - 2 What is the u'th term of 67, 97, 175, 325, 571, 937, 1447, 2125? 4*u**3 + 2*u + 61 What is the s'th term of 108, 209, 310, 411? 101*s + 7 What is the c'th term of -29, -70, -139, -236, -361, -514? -14*c**2 + c - 16 What is the p'th term of 0, 0, -2, -6, -12? -p**2 + 3*p - 2 What is the v'th term of 81, 161, 241, 321? 80*v + 1 What is the z'th term of 52, 157, 332, 589, 940, 1397, 1972, 2677? 2*z**3 + 23*z**2 + 22*z + 5 What is the n'th term of 358, 720, 1082, 1444, 1806? 362*n - 4 What is the o'th term of 112, 220, 328? 108*o + 4 What is the o'th term of -102, -204, -306, -408, -510, -612? -102*o What is the r'th term of -96, -77, -46, -3, 52, 119? 6*r**2 + r - 103 What is the q'th term of -34, -85, -156, -253, -382, -549, -760, -1021? -q**3 - 4*q**2 - 32*q + 3 What is the i'th term of -29, -48, -69, -92, -117? -i**2 - 16*i - 12 What is the u'th term of -391, -393, -395, -397, -399? -2*u - 389 What is the k'th term of -182, -220, -258, -296, -334? -38*k - 144 What is the i'th term of 17, 40, 101, 218, 409, 692? 3*i**3 + i**2 - i + 14 What is the o'th term of 169, 333, 503, 679, 861, 1049? 3*o**2 + 155*o + 11 What is the m'th term of -34, -63, -92, -121, -150? -29*m - 5 What is the p'th term of 16, -3, -20, -35, -48? p**2 - 22*p + 37 What is the n'th term of 634, 636, 638, 640, 642? 2*n + 632 What is the b'th term of -14, -11, -8, -5, -2, 1? 3*b - 17 What is the p'th term of -439, -879, -1319, -1759, -2199? -440*p + 1 What is the k'th term of 17, 75, 173, 311, 489, 707? 20*k**2 - 2*k - 1 What is the f'th term of -28, -42, -66, -106, -168, -258, -382? -f**3 + f**2 - 10*f - 18 What is the l'th term of 17, 25, 33, 41, 49? 8*l + 9 What is the a'th term of -23, -34, -47, -62, -79? -a**2 - 8*a - 14 What is the a'th term of -242, -490, -738, -986? -248*a + 6 What is the y'th term of 25, 33, 53, 91, 153, 245? y**3 + y + 23 What is the s'th term of 26, 39, 64, 107, 174? s**3 + 6*s + 19 What is the o'th term of 25, 44, 57, 64, 65, 60, 49? -3*o**2 + 28*o What is the n'th term of 37, 183, 423, 757, 1185, 1707? 47*n**2 + 5*n - 15 What is the u'th term of 53, 104, 155, 206, 257, 308? 51*u + 2 What is the i'th term of 704, 703, 702, 701, 700, 699? -i + 705 What is the r'th term of -106, -111, -116, -121? -5*r - 101 What is the k'th term of 283, 284, 285, 286? k + 282 What is the m'th term of 430, 398, 356, 298, 218? -m**3 + m**2 - 28*m + 458 What is the u'th term of 43, 54, 65? 11*u + 32 What is the l'th term of -48, -93, -128, -147, -144, -113, -48, 57? l**3 - l**2 - 49*l + 1 What is the d'th term of 1816, 3647, 5490, 7351, 9236? d**3 + 1824*d - 9 What is the i'th term of -52, -110, -180, -268, -380, -522? -i**3 - 51*i What is the s'th term of -10, -22, -42, -70, -106, -150? -4*s**2 - 6 What is the s'th term of -932, -1862, -2792, -3722? -930*s - 2 What is the d'th term of 162, 309, 470, 651, 858? d**3 + d**2 + 137*d + 23 What is the p'th term of 2705, 5413, 8121, 10829, 13537, 16245? 2708*p - 3 What is the y'th term of 647, 1293, 1939? 646*y + 1 What is the q'th term of -74, -67, -56, -41? 2*q**2 + q - 77 What is the f'th term of 68, 106, 140, 164, 172, 158, 116? -f**3 + 4*f**2 + 33*f + 32 What is the m'th term of 6, 8, 12, 18? m**2 - m + 6 What is the w'th term of -230, -506, -782, -1058, -1334, -1610? -276*w + 46 What is the p'th term of 28, 60, 142, 298, 552, 928? 4*p**3 + p**2 + p + 22 What is the p'th term of -66, -79, -102, -141, -202, -291, -414? -p**3 + p**2 - 9*p - 57 What is the s'th term of -14, -27, -36, -41, -42, -39? 2*s**2 - 19*s + 3 What is the h'th term of 157, 156, 153, 148, 141, 132, 121? -h**2 + 2*h + 156 What is the g'th term of -2140, -8552, -19240, -34204, -53444, -76960, -104752? -2138*g**2 + 2*g - 4 What is the x'th term of 3, 11, 25, 45? 3*x**2 - x + 1 What is the l'th term of 37, -63, -229, -461, -759? -33*l**2 - l + 71 What is the h'th term of -578, -1173, -1768, -2363, -2958? -595*h + 17 What is the g'th
{ "pile_set_name": "DM Mathematics" }
5)/(-430). 1/8 What is (-216)/(-20)*(-93)/((-1953)/(-70))? -36 (45/(-36) - 9/36)*18 -27 Calculate (192/(-3) - -55) + 80. 71 Evaluate 3053/(-65) - 1790/58175. -47 Calculate (78 - (-364)/(-4)) + (-31 - 4). -48 What is (-17)/(23205/1770) - 112/(-98)? -2/13 Calculate (4/2 - 18)/(70 - 86). 1 (16/140)/((145/203)/((-4)/120)) -2/375 What is (3*34/12*4)/((30940/357)/(-26))? -51/5 Evaluate ((-99)/36*6/33)/(5*6/(-3180)). 53 -87*157/(-13659) - (1/((-2)/24) + -2) 15 Evaluate 26*(-6 + 17/3) - (336/24 + -14). -26/3 What is 165/11 - (-11 + -3 + 21)*1? 8 What is (-78450)/1650 - (4 - 51)? -6/11 -2*(-5)/(990/(-11))*(7 - (-9 + 4)) -4/3 What is ((-169330)/4425 - -38)*(-1 + 326/(-4))? 22 Evaluate 3393/(-78) + 44 - 2. -3/2 What is the value of 22/(-594)*33 + (7 - 6) + (-475)/9? -53 Evaluate (6/(-27) + 53/198)/((-26476)/26476). -1/22 (-3)/(15/4) - 80483/(-123820) -3/20 ((-8)/(-1472)*8)/(64/(-256) - 2/24) -3/23 ((-168)/(-1036))/(198/11396) 28/3 Evaluate 438/365*(3/2)/((-132)/770). -21/2 675/90*220/75 22 What is (-3 - (14/(-5) + 4)*-3) + 24843/(-40755)? -2/209 Evaluate 5*52/(-325)*(5 + 20/2). -12 Evaluate (-64)/992 - 1401/(-93) - (0 - -63). -48 What is the value of (-17)/68*(43 + -45)? 1/2 (-4)/(-10) + (-38304)/(-3990) 10 14/(-6)*113/((-10057)/(-2136)) -56 What is the value of 2/52*((-5434)/7524 + (-42)/(-36))? 2/117 What is the value of 180/54 + (686/(-15) - -42)? -2/5 Evaluate ((-36)/2 - -50*(-112)/1400)/14. -11/7 Evaluate -49 - -127 - 56 - (-2 - -4*(-5)/(-2)). 14 What is the value of (33/(-16) - -2) + 30481/(-44336)? -3/4 Calculate 4592/12628*((-4)/8 + 4/8 - -22). 8 What is the value of (43/(11008/(-928)))/((-3)/24)? 29 Calculate 177 + -127 - (21/(-4) + 200/160). 54 What is (-32)/44*2/8 - ((-652674)/1331)/(-31)? -16 ((-100)/(-44) - 2)*(-69 + (-4592)/(-64)) 3/4 Calculate ((-873)/(-126) - 7)*(377/39 - 13). 5/21 Evaluate (-206)/(-618)*116/(-2146). -2/111 Calculate 21/9*((-180)/(-315) - (-13 + -1)). 34 1*(36/(-39))/4 - (-182514)/(-20813) -9 What is (((-308)/16 - -20) + (-151)/204)*514 - 5? 2/51 (-2206)/(-100) + -32 - 20/(-2) 3/50 What is (-308)/(-11) - ((-74)/18 + (-72)/81)? 33 Evaluate (-636)/(-1749) - 4065/110*(-4)/6. 25 Calculate (-229008)/(-5720) + (-1480)/37. 2/55 Calculate (-943)/451 + (-137)/(-1507). -2 What is 1*9 + (4023 - 4067)? -35 Evaluate ((2*3)/((-24)/64))/((-70)/(-70)). -16 What is ((-27)/(-15))/((-9564)/462260)? -87 Evaluate 1027/(-49) - (3978 + -3999). 2/49 What is the value of 44/(-66) + (-2685)/(-45)? 59 Calculate (146256/5940)/(-277)*(-1)/((-24)/9). -1/30 Calculate 570/63 + (-8540)/915. -2/7 What is the value of ((10 - ((-732)/54 + 11)) + -5)/(84/378)? 34 19*210/399 - (1 + 115/13) 2/13 What is the value of (-22)/(-18) + 0/1883? 11/9 What is the value of 8/10*(2125/(-34) - (-5 - 5))? -42 What is the value of -16 - ((-4550)/(-550) + -24)? -3/11 What is ((-237)/(-4))/(-1*((-8)/(-32) + 53/106))? -79 What is ((-438)/(-4))/(1750/(-100) + 5 + 17)? 73/3 What is the value of (21/(-56))/(41/84 - 118/708)? -7/6 8/52 - ((-1018)/(-26) + -30) -9 Evaluate ((-10)/120)/((-711)/(-948)). -1/9 (-12)/(-38) - ((-234024)/(-3192) + -64) -9 ((-2)/37 - ((-19085)/(-814) - 23))*16 -8 24 + 26 + (-40 - -73) + -92 -9 Calculate -1 + 21904/(-3848)*13/(-2). 36 Evaluate (-13)/8 + 2 + (-77 - 157675/(-2040)). 2/3 Evaluate (-27 - (-10350)/378)/(576/63 - 6). 4/33 Evaluate -115 + (464427/45)/103. -74/5 Evaluate 83 - 1 - (-615)/(-2255)*-11. 85 Calculate (((-1093125)/660)/(-265))/((-3)/(-8)*2). 25/3 Evaluate (54/135)/(34/(-15) + 2). -3/2 What is (-762)/24 + 30 + (-23)/4? -15/2 What is the value of 1/6 - ((735/(-45) - -19)/(-2))/4? 1/2 Calculate (90/(-105))/((-26)/(-364)) + (-365)/(-25). 13/5 Calculate (-1290)/(-774)*(4 - (-456)/(-105)). -4/7 What is the value of ((-72)/(-28))/((3 - 4)/(182/(-104)))? 9/2 What is the value of 6/24*-295*(152/40 + -3)? -59 What is 3/(572/1694 - (-9)/(-21))? -33 Calculate -29 + -1 + 150/10 + 33. 18 What is 15/2 + 34293/(-2982)? -4 What is (-70)/1540*902 - 31? -72 What is (-261 + 264)/(-3 + 180/64)? -16 Calculate 45/27*285/75 + -4. 7/3 What is the value of ((-549)/81 + 7)/((-84)/63)? -1/6 Calculate (-1664460)/103950 + (6 + -6 - -18 - 2). -2/165 What is ((-40 + 38)/(8/4 - -5))/((-2)/(-497))? -71 What is (15918/(-3790))/(4/(-20))? 21 What is the value of -17 - 1 - (41 + 98901/(-1683))? -4/17 What is (-696)/8265*-19*(15/(-1218))/(30/(-35))? 2/87 What is the value of 91 - (41 + (-512625)/(-10250))? -1/82 Evaluate 855/(-760) - 822/(-816). -2/17 Evaluate ((-26)/17)/((-2604)/(-44268)). -26 Calculate -1 + 30/24 - 3980/(-80). 50 Calculate (-21)/((-231)/(-484))*(-1962)/1199. 72 Evaluate ((-3104)/312 - (-300)/(-5850))*19/2. -95 What is the value of (-2)/24 + 847550/(-17688)? -48 What is the value of (-15104)/(-4130) + (210/550 - (-4)/110*-5)? 27/7 (-5760)/3360 - (0 + (-230)/175) -2/5 -79 + (135 - 63) - (-62)/1 55 Calculate 1 + 7 - (-33 - 12/(5184/(-17904))). -4/9 What is 0 - ((-109530)/2025 + 54)/(2/(-40)*-2)? 8/9 Calculate 760/(-275) - (11408/(-115))/(-62). -48/11 Calculate 2*((-23)/((-1449)/54) - (-10450)/532). 41 (-24)/(-16) + 146/(3796/(-429)) -15 What is 5 + -12 - (-8296)/1968 - (-2)/(-41)? -17/6 Evaluate 80/(-120)*(1/(27/(-18)))/(10/(-1080)). -48 What is the value of ((108/(-10))/(-3))/((-33)/(-9900)*-30)? -36 Evaluate (256/270 - (368/60 - 6))*(-9)/(-4). 11/6 Calculate 351/2340 - ((-2)/(-6) - (-31)/(-186)). -1/60 -2 - 88 - (-300564)/2783 18 What is the value of (-180)/(-54) - ((-1)/8)/(1032/(-547648))? -63 What is (6/8)/((25/((-2250)/(-12)))/((-176)/18))? -55 Evaluate ((-34)/360)/((-124)/1550) + (-93)/(-248). 14/9 Calculate (130/975 - (-102)/(-90))/((-158)/4 - 2). 2/83 Evaluate -32*(-16)/5120*(-1 - -1 - -110). 11 What is the value of (-37)/481 - 132436/(-41132)? 22/7 What is the value of (-10)/6*(29458/(-440) - -67)/(2/(-51))? 17/8 What is (-118)/(-3245) + (-851229)/(-6215)? 137 Evaluate (-129)/(-3) + 19001456/(-442241). 3/89 Calculate (576/928)/(107/(-21721)). -126 (8/(-14) + (-3082)/(-4830))*1 1/15 What is 1674/(-5859) + (32/18 + -2)/((-3871)/4830)? -2/237 Evaluate (-342072)/4752 - (-4)/(-264). -72 Evaluate 15*((9 - 44) + 40). 75 Evaluate 75/((-773175)/5096) + 18/39. -2/61 Calculate (-135225)/(-1202)*(-4)/(-15). 30 (-93 - -135) + (-330)/8 3/4 What is the value of (-2 + 0 - ((-627)/33 + 1)) + -86? -70 Evaluate 158/22 + (-576)/3168. 7 88373/(-51441) + 1/3 -18/13 What is ((-936)/260)/((-66)/(-880))? -48 What is the value of 1*((-2)/24 - (3815080/(-3360))/127)? 62/7 Calculate ((-82)/(-6) + 37 + -50)*(-1)/(-6 + 4). 1/3 What is (-66)/(-180)*8/55*2*40/32? 2/15 What is (2752/544)/43 - 435/85? -5 Evaluate 33176/208*18/297. 29/3 (-2272)/32 + 24288/345 - (-139)/215 2/43 Calculate 71 + (-10855)/(-668) + (-5)/(-20) + (-9)/(-6). 89 What is 18/27*-9 - 5/((-50)/(-320))? -38 What is (-12 + (-910)/(-75))/(-8 - (-12)/15)? -1/54 Calculate (32 - (-1479)/(-58))*36/(-13). -18 What is 16 - ((-84)/56 - ((-1150)/(-115) - 5551/202))? 2/101 Calculate ((-6)/5)/(((-12)/10)/(2490/2241)). 10/9 (-2 + 156/130)*-30 + -64 -40 (-1776)/7104*72/2 -9 Evaluate (-2)/(2/23) + 222015/9635. 2/47 (7 + -4 + 3)/(20/(-435)*(-126)/(-84)) -87 What is the value of ((-880)/64 - -16)/((-286)/208)? -18/11 Evaluate (-44)/(123/((-615)/10)). 22 What is ((-6)/24)/(-21 + (1311/24)/23 - -20)? -2/11 Evaluate (47104/51520)/((-8)/(-10)). 8/7 What is the value of (-6554926)/(-279594) - ((-6)/(-9) - (-2)/(-9))? 23 588/(-61740) + (-2)/(-14) 2/15 Evaluate (-1794)/(-115) - ((-3034)/185 - -16). 16 Calculate -46 - (-74 + 42 - 39). 25 4*(-7 - 117/(-18))*18/2862 -2/159 Calculate (-1 + 8/3)*(6/(-10) - 105/(-147)). 4/21 What is the value of (22148/904 - 4*7)*2/(-658)? 1/94 What is 320/(-400)*(4 + (-3 - -5))*105/42? -12 (-1)/((-90)/488) - (-50)/(-13725)*61 26/5 What is 1*133/(-3363)*3*(-7)/49? 1/59 17549/763 - (-306)/(-1 + -2) -79 Evaluate 16/10 + 6592/(-515) + 2*(-5 - -11). 4/5 Calculate (-135)/13 + (-52 - (36 - 79))*-1. -18/13 Calculate ((-7)/(-266))/((-753)/18 + 41). -3/95 What is (6/(-4))/(563570/51604 - (-22)/(-2))? 19 Evaluate (39*8/(-60))/((-316)/(-790)). -13 What is (2058/(-1715))/((-22)/(-5)) - 98/(-77)? 1 Calculate (6/(-5))/(((-180)/125)/(624/780)). 2/3 Calculate (6/20)/(-14 + 1829/118). 1/5 Calculate (-92)/(-293664)*17347 + (-12)/(-63). 45/8 Calculate (-15855)/11627 + 3861/2299. 6/19 What is 110 + (28810/(-344) - 27)? -3/4 ((
{ "pile_set_name": "DM Mathematics" }
-121)/6 + o)/3. 144 Suppose 0 = q - 4*q - 5*y + 5, 5*y = -2*q + 10. What is the common denominator of q and (-74)/(-22) + (-2 - 1)? 11 Let z(p) = -p**3 - 2*p**2 + 2*p + 1. Let v be z(-2). Let d be (-16)/(-4) + v - 73. What is the common denominator of ((-834)/d)/((-2)/(-4)) and 7? 6 Let q(t) = -t**2 + 9*t - 12. Suppose -3*d = -16 + 1. Let w be q(d). Let m = 15 - w. What is the lowest common multiple of 4 and m? 28 Let f = 137/86 + 811/2838. Let k = 7671/728 + 99/91. What is the common denominator of f and k? 264 Let j(b) = -47*b + 539. Let y(k) = -2*k - 2 + 0 - 4. What is the least common multiple of y(-6) and j(11)? 66 Suppose 0 = 8*p - 9*p + 14. Let z(s) = -s**3 + 3*s**2 + 4*s. Let d be z(4). Suppose p = n - d*n. Calculate the smallest common multiple of 18 and n. 126 Let n = 79 - 73. Let y = -26619/4528 + -52/283. Find the common denominator of -1 - ((-1038)/27)/(32/n) and y. 48 Suppose -105 = -3*d - 2*d. Suppose d = -6*i + 5*i. Let w = 29 + i. Calculate the least common multiple of w and 18. 72 Let u be (-14205)/195 + 5/(130/(-4)). Calculate the common denominator of ((-1)/u)/((12/(-51))/4) and 19/4. 292 Let q be (13670/(-60))/((-2)/8). Let c = q - 924. What is the common denominator of 20/21 and c? 21 Let d(r) = -r**2 + 9*r - 3. Let x be ((-2)/4*-10)/(5/6). Calculate the least common multiple of 12 and d(x). 60 Suppose 5*h - h - 32 = 0. What is the least common multiple of h and 8/((-4)/(-1)) - -2? 8 Let r be 50 + -8*3/6. Let d = -34 + r. What is the least common multiple of d and 18? 36 Suppose 0 = 18*h + 64 + 44. What is the smallest common multiple of 4/1 + 1*-2 and (4020/(-55))/h - (-6)/(-33)? 12 Suppose -5*u + 17 = -63. Calculate the lowest common multiple of u and 6/24 + 213/12. 144 Let b(k) = -2*k**3 + 44*k**2 - k + 30. What is the smallest common multiple of b(22) and (-11 + 0 + 1)*-2? 40 Let b = 807/92 - -34/23. Let p = -455/12 + 3335/84. Find the common denominator of p and b. 28 Suppose -89*z + 222 + 1024 = 0. Calculate the least common multiple of z and 52. 364 Suppose -1445 = -37*y - 224. Suppose 0 = -p + 2*r + 29, -2*p = 3*p - r - 136. Calculate the least common multiple of p and y. 297 Suppose 7*q - 12 = 3*q. Suppose -o + q*u + 22 = 0, 3*o - 3*u + 11 - 47 = 0. What is the least common multiple of 2 and o? 14 Let p = -10 - -7. Let b = p + 6. Suppose -200*i + 1497 = 149 - 1052. Calculate the least common multiple of i and b. 12 Suppose -3*b = -711 - 312. What is the smallest common multiple of b and 31? 341 Suppose 1392 = 35*g - 6*g. What is the lowest common multiple of 21 and g? 336 Let n(r) = -r - 1. Let i be n(-6). Suppose 0 = -j + i + 5. Let a = 12 + -4. Calculate the smallest common multiple of j and a. 40 Let c = 22 - 52. Find the common denominator of 13/10 and (9/(-12))/(c/530). 20 Suppose -2 = -2*p - 0. Let l = 1 + p. Suppose -14 = -5*n - 4. What is the smallest common multiple of l and n? 2 Let x = -4/915401 - -32699039161/9154010. Let s(q) = -3567*q**2. Let l be s(-1). Let r = l + x. Calculate the common denominator of r and -69/8. 40 Let p = 3 + 2. Suppose 37*m - 49 = 30*m. Calculate the least common multiple of m and p. 35 Find the common denominator of ((-83)/42 - -2)*211 + -5 and -37/18. 126 Let d(t) = 4 + 32*t - 66*t + 33*t + 4. Calculate the lowest common multiple of d(-8) and 50. 400 Let s be (-9)/(-3) + 0 + 9. Suppose -4*t + s = -u, -u = 4*u + 3*t - 32. What is the smallest common multiple of ((-4)/14)/(6/(-84)) and u? 4 Let v be (-2)/(2/(-5)) - 2. Suppose -v*l + 95 = 2*l. Calculate the lowest common multiple of l and 7*(32/7 + -4). 76 Let s be 21/14 + (-6854)/340. Let l = s + -164877/680. Let i = l - -255. Find the common denominator of i and -68/3. 24 Suppose -5*u = 4*h + 18, -u + 3*h + 8 = -2*u. What is the least common multiple of (1/(u/(-18)))/(2/2) and 3? 9 Let m = 38 - 20. Let s(u) = u**3 + 5*u**2 - 8*u + 14. Let y be s(-7). Find the common denominator of -9/14 and (m/y)/(10/(-91)). 140 Suppose -2286 = -22*w + 2950. What is the lowest common multiple of 14 and w? 238 Let u(p) = 8*p + 268. What is the smallest common multiple of -1*(-2 - -1)*20 and u(-28)? 220 Let a(c) = c**3 + 8*c**2 - 10*c - 8. Let o = -12 + 10. Let k(x) = -3*x**2 + 3. Let l be k(o). What is the lowest common multiple of a(l) and 4? 4 Calculate the common denominator of -77/36 and -2*(-7637)/1680 + -9. 360 What is the least common multiple of 57 and (37 + (-18 - -8))*(-2)/(-3)? 342 Let o = -4 + -11. Calculate the common denominator of 65/3 and (-1)/(-3) - ((-2825)/o)/(-5). 3 Let v be (10415941 - -8)/((-2)/(-59246)). Let n = 57833071321197253/187434 - v. Let j = n - -4/7209. Calculate the common denominator of j and 93/16. 208 Let n = -22803/9910 - -1/991. Let o = 11308 - 124356/11. Find the common denominator of n and o. 110 Let t = 258057750 - 645660508321/2502. Let h = t + -37/139. Let k = -18413/180 + 976/9. Find the common denominator of k and h. 180 Suppose 24*a - 2 = 70. What is the least common multiple of a and (-2)/(((-8)/18)/2)? 9 Let i = -3 + 23. Suppose 9*h - 4*h = i. Suppose 2*g = 2*c + 1 - 5, -h*c + 16 = 0. Calculate the least common multiple of 11 and g. 22 Let w = 41 + 245. Calculate the smallest common multiple of 16 and 2/18 + w/18. 16 Let u(c) = -2*c - 1. Let j be u(3). Let l = j + 11. What is the smallest common multiple of 6 and (l/12)/((-1)/(-18))? 6 Let j be 14/(-3)*(-90)/105. Suppose 0 = 6*s - j*s - 12. What is the least common multiple of s and 28? 84 Suppose -5 = s + 3*r, 0 = -2*s - 5*r - 8 - 1. Calculate the common denominator of (-8)/s - (-296)/(-12) and ((-2)/36)/(3/(-186)). 9 Let b = 42 + -20. What is the lowest common multiple of 128/12 - 22/33 and b? 110 Suppose 0 = -2*c + 4*c. Let j be (-8)/10*(-25)/10. Suppose j*y - 10 = -c*y. Calculate the least common multiple of y and 7. 35 Let f = 78 + -60. Suppose 7 = 5*o + 2*x, -o = -3*x + 3 - f. Calculate the least common multiple of o and 15. 15 Let z = 2289 - 2281. Let t(r) = r**3 - 2*r**2 + 2*r - 2. Let b be t(2). Suppose 16 + 0 = b*q. Calculate the least common multiple of q and z. 8 Let x(s) = s**2 - 3*s - 4. Let j be x(4). Suppose j*y = 4*y + 72. Calculate the common denominator of (51/14)/(y/63) and -3. 4 Suppose 4*l - 5*i = 87, 5*i + 3 = 14*l - 13*l. Calculate the lowest common multiple of 632 and l. 4424 Let w = 1/17060 + 912703/119420. Let r be ((-15)/(-6) + -2)*3867333/(-153666). Let u = r - -2/8537. Find the common denominator of u and w. 84 What is the common denominator of -25/102 and 2798/264 + (48/(-33))/8? 204 Let l = 40 + -80. Let z = 56 + l. What is the lowest common multiple of z and 20? 80 Find the common denominator of (-1 - 0)*(-7 + 1080/112) and -9/40. 280 Find the common denominator of ((-90)/21 - 4)*3/(-54) and -41/49. 441 Suppose 595*x - 189 = 586*x. What is the lowest common multiple of x and 315? 315 Let z = -976556 - -5840827/6. Let b = z - -3072. Calculate the common denominator of b and 101/4. 12 Suppose 5*c = -4*w + 73 + 17, c + w - 19 = 0. What is the lowest common multiple of (-5 + -2)*(-92)/c and 5? 230 Suppose o + 16674 = -o. Let q = -83287/10 - o. What is the common denominator of q and (1 + 0)/(11/(-42))? 110 Let t be 3 - 6 - (-13 + 2). Let n(m) = -m**3 + 12*m**2 - 7*m - 3. Let f be n(t). Suppose 5*l + f + 38 = 0. What is the common denominator of l and 53/10? 10 Suppose 0 = -4*h + 4*n - 224, 4*n = 5*h + 6*n + 252. Let q = 4435 + -26525/6. What is the common denominator of q and (27/120)/(6/h)? 60 Let z(c) = -c**2 + c + 1. Let d = -8 + 9. Let y be z(d). What is the common denominator of 10/11 and y + 11*(-12)/(-9)? 33 Find the common denominator of 4/(-24)*1*-1 and (-200)/(-6)*7/14. 6 Suppose 4 + 30 = z. Let u be (-38)/4 + 51/z. Find the common denominator of (225/165)/(3/u) and 101/20. 220 Let s(k) = -42*k - 22. Find the common denominator of s(-1) and -49/3. 3 Suppose -k + 12 = 3*k. Suppose -i = 2*n + 220, n + k*i + 14 = -96. Calculate the common denominator of 41/10 and (n/(-6) + 2)/(-1). 30 Let h = 1281 - 187027/146. Let n = h - 1017/730. Calculate the common denominator of (2*1)/((-44)/(-82)) and n. 55 Let u(i) = -8*i - 16 + 37 - 17. What is the smallest common multiple of u(0) and 10? 20 Suppose -16 = 2*o - 14. Let t(b) = -12*b + 2. What is the lowest common multiple of t(o) and 20? 140 Suppose 0*s - 10 = -2*
{ "pile_set_name": "DM Mathematics" }
084? -0.084 Product of -0.5 and 0.041. -0.0205 Product of 26 and 2. 52 What is 0.05 times 0.41? 0.0205 Product of -0.3 and -443. 132.9 Product of -138 and -0.1. 13.8 Work out -58.5 * 0.21. -12.285 What is 70 times 0.1? 7 -1*1230 -1230 3657.4*0.2 731.48 -6 * -3627 21762 Calculate -0.3306*0.1. -0.03306 Calculate 0.3*24. 7.2 Multiply 0 and 26. 0 58 times -7 -406 What is the product of 1924 and 0.5? 962 What is the product of 0.129 and -0.37? -0.04773 -0.152 times -0.53 0.08056 -0.12 * -83 9.96 Calculate 0.054*-186. -10.044 What is the product of -2.1 and -5? 10.5 Product of 191 and 0. 0 Calculate -13*-1. 13 Product of -0.14 and -73. 10.22 What is -102 times -118? 12036 What is the product of 5 and 112.5? 562.5 What is the product of -3 and 19? -57 Multiply -25 and 2. -50 Product of -0.3 and 0.3432. -0.10296 5 times -0.4 -2 Work out -3 * -0.001. 0.003 Calculate -0.0859*0.5. -0.04295 What is the product of -2.4 and -10? 24 What is -0.1 times 0.016? -0.0016 Product of 0.1 and 1050. 105 0.038 times 50 1.9 What is the product of 5 and -20? -100 What is the product of 0.5 and -0.34? -0.17 Calculate 0.022*-0.05. -0.0011 Product of -7 and 107. -749 Work out -1624 * -5. 8120 What is the product of -135.89 and -0.3? 40.767 Work out -0.545 * -0.1. 0.0545 -12*-399 4788 -3*-0.18 0.54 Product of -2.2972 and -5. 11.486 Calculate 48*-101. -4848 Work out 23 * 39. 897 What is -0.3 times 0.0388? -0.01164 Calculate 97*-0.4. -38.8 -99.8 * -0.3 29.94 -44 * -79 3476 What is the product of -295 and 5? -1475 -925 * 7 -6475 Calculate -0.04*-0.059. 0.00236 What is the product of 0.0277 and 7? 0.1939 Product of 3.282 and 0. 0 -1*-197 197 83 * -0.1 -8.3 0.82 times -3 -2.46 What is the product of 0 and 6.7? 0 Work out 0.2 * 47. 9.4 0.0095*-0.1 -0.00095 Multiply 1.2 and 275. 330 Multiply -68 and 372. -25296 Work out -217 * 0.5. -108.5 Calculate -0.3*-232. 69.6 Work out 1 * 1327. 1327 Calculate 5*-124. -620 5 * -48 -240 What is the product of 0.2 and -171? -34.2 19*0.89 16.91 -4 times -0.0223 0.0892 -4*-450 1800 Work out -25 * 75. -1875 What is -0.4821 times 2? -0.9642 Multiply 1.5 and -1015. -1522.5 0.3 times 16 4.8 Calculate 2*0.159. 0.318 Multiply 3 and 3.6. 10.8 -2.074*5 -10.37 Product of 442 and 0.4. 176.8 Calculate 153*-2.4. -367.2 -23 * -26 598 3 * 0.2 0.6 Calculate 5*-7.5. -37.5 What is 2284 times -0.1? -228.4 Multiply 32.6 and 4. 130.4 Product of -84 and 5. -420 0.5*-1718 -859 Calculate 487*-0.2. -97.4 What is -71 times 5? -355 Calculate -5*23. -115 What is -0.1504 times 2? -0.3008 251*0.09 22.59 -0.05*-393 19.65 -83 times 5.5 -456.5 -8*0.182 -1.456 What is the product of -156.5 and 0.4? -62.6 -5 times -4.1 20.5 Product of 900 and 13. 11700 0.0619 * 4 0.2476 Product of -0.92 and -62. 57.04 83*-2.6 -215.8 Calculate -8*36. -288 -0.998 * -4 3.992 Product of 14.63 and 0.4. 5.852 Work out -0.1 * 1065. -106.5 What is -61 times 0.106? -6.466 Work out 0.85 * -1. -0.85 Product of 0.14 and -12.8. -1.792 Product of 2 and -2.188. -4.376 Calculate 0.06*0.11. 0.0066 Calculate 2099*0.4. 839.6 Work out -91 * 8. -728 Product of -6 and 3.6. -21.6 What is -0.4 times 1.01? -0.404 What is the product of 0 and 9.05? 0 Calculate -0.1*-12.57. 1.257 0.02 * -41 -0.82 What is 5 times -11? -55 Calculate -2*7. -14 Multiply 0.67 and 63. 42.21 Calculate -163*0.06. -9.78 What is 0.5 times -8002? -4001 -0.9*-368 331.2 What is the product of 0.3 and -2.09? -0.627 What is the product of -8 and -9? 72 -0.278*0 0 Work out 12.4 * 3. 37.2 -0.00064 * 0.2 -0.000128 What is the product of -0.1 and 114? -11.4 2 * -29 -58 0.06 * 3 0.18 Multiply -2 and -1.2. 2.4 0.8 * 0.11 0.088 What is 21.653 times 0? 0 Multiply 0.04 and 40. 1.6 -1.3*188 -244.4 -1*-423 423 3*0.101 0.303 4*7.83 31.32 -0.24*34 -8.16 116 times -0.2 -23.2 Calculate 0.6*0.15. 0.09 Multiply -56 and -1.5. 84 -688*0.5 -344 Multiply -32.53 and -4. 130.12 0*-4.5 0 Multiply 4 and -2. -8 -51 times -12 612 Calculate -0.3*1532. -459.6 Calculate -4*-0.063. 0.252 -0.1*1.354 -0.1354 What is -10 times 0.33? -3.3 Work out -31.111 * -0.5. 15.5555 -5 * 4.59 -22.95 What is 8 times -140? -1120 What is 7 times 5? 35 Work out 0.13 * 200. 26 Work out -1.288 * -1. 1.288 -6.027*-6 36.162 Calculate 1525*0. 0 -4731 * -6 28386 0 * 31 0 Work out -0.3 * -4. 1.2 -57.95 times -1 57.95 Calculate -0.8*3.3. -2.64 -1 * -0.033 0.033 -5*-0.185 0.925 -349*-5 1745 Product of 0.09 and 0.06. 0.0054 0 times 0.2 0 What is 1470 times -0.1? -147 Multiply 356 and -4. -1424 What is -0.0352 times -0.69? 0.024288 What is -0.1 times -12? 1.2 6.3 times 0.5 3.15 Calculate 523*5. 2615 Calculate 0.063*-1. -0.063 Multiply -23 and 37. -851 What is the product of 0.07 and -6? -0.42 Product of 1.7 and -0.092. -0.1564 Multiply -580 and -12. 6960 What is 5 times -3.53? -17.65 Product of -0.37 and 0.02. -0.0074 0.041 * -22 -0.902 Multiply 2.31 and -25. -57.75 Multiply 19 and -2. -38 Product of 4 and -2.18. -8.72 What is the product of 0.02 and 6.5? 0.13 3504.2 times 0.5 1752.1 Calculate 1237*0.4. 494.8 52*-6 -312 What is 1523 times 4? 6092 Multiply 0 and 279.3. 0 3*156 468 1673 times 1.1 1840.3 Calculate 2*0.13. 0.26 Work out -0.08 * 0.0556. -0.004448 0.1*1105 110.5 0.05 times -799 -39.95 Work out 0.013 * -0.4. -0.0052 What is the product of 0.109 and 1.2? 0.1308 Multiply -3.1 and -7. 21.7 Product of -24.2 and 0.2. -4.84 -5 * 219 -1095 0.274 times 5 1.37 What is the product of -0.5 and 742? -371 -0.17 times -40 6.8 Calculate -0.0159*0.1. -0.00159 Work out 0.5 * 0.36. 0.18 Calculate 0.49*104. 50.96 What is the product of -0.16 and -0.8? 0.128 Work out -0.1 * -3905. 390.5 Product of -3.652 and 0. 0 1.1 times -1303 -1433.3 What is 13 times 8? 104 Product of -1.6 and -4. 6.4 -0.51 times 12 -6.12 Multiply 3 and -224. -672 19.51 * 1 19.51 Work out -22 * -4. 88 What is 3 times -40.9? -122.7 Multiply -3 and -62.6. 187.8 Product of 2 and -111. -222 Calculate 0.2*-644. -128.8 -0.04 times 0.3 -0.012 Calculate 5*9. 45 Product of 0.5 and -468.8. -234.4 59.5*0.2 11.9 Multiply 0.5 and -0.41. -0.205 Multiply 0.1 and 1.4. 0.14 -0.05 * -24 1.2 What is 0 times -11.8? 0 Multiply -3788 and -0.06. 227.28 25 * -22 -550 What is the product of 0.074 and -17? -1.258 Calculate 28*-49. -1372 Work out 0.02 * -14. -0.28 5.2 * -27 -140.4 What is the product of -17 and 0.076? -1.292 Work out 0.065 * -0.05. -0.00325 What is -0.3 times -3.5? 1.05 Product of -0.098 and -2. 0.196 Multiply -0.4 and 33. -13.2 Multiply -0.5 and -2740. 1370 -0.063 * 0.6 -0.0378 -0.14 times 0.5 -0.07 What is -1795 times 0.5? -897.5 What is -61 times 0.02? -1.22 What is -1.21 times 0.19? -0.2299 What is the product of -4 and 0.01? -0.04 -0.3 * -0.93 0.279 -12*-0.2 2.4 What is the product of -0.1056 and -1? 0.1056 Multiply 2 and 9135. 18270 -37 times 122 -4514 0.1013 times 1 0.1013 Multiply -14 and 11. -154 What is 1 times -51? -51 Calculate -44*71. -3124 What is -4 times 1? -4 What is the product of -0.1 and -38? 3.8 Calculate -221*0.2. -44.2 0.022*5 0.11 147 times -6 -882 Multiply 26 and -2. -52 Multiply -7 and -30. 210 -1.17*47 -54.99 -440.5 * 3 -1321.5 2.1 times -0.39 -0.819 Work out -2028 * -4. 8112 2 times 7.14 14.28 What is -1 times -0.0388? 0.0388 What is -0.24187 times 2? -0.48374 What is the product of -0.2 and 70.7? -14.14 What is 4 times -27.5? -110 What is -0.5 times 148? -74 What is 0.1 times -58? -5.8 Multiply 42 and -0.2. -8.4 What is the product of -1567 and -0.3? 470.1 Calculate 27*-0.1. -2.7 What is the product of 0 and -345? 0 Product of -13 and -0.066. 0.858 What is -5 times 0.242? -1.21 Product of 0.14 and 78. 10.92 What is the product of 2384.1 and 0? 0 Calculate 364*1. 364 Work out -4 * -1951. 7804 What is the product of 0.0617 and 1? 0.0617 0.011*-0.2 -0.0022 7147 times 5 35735 What is the product of -0.0238 and 0.1? -0.00238 -0.4 times -1.89 0.756 What is -0.5 times -2.22? 1.11 Product of 0.22 and -48. -10.56 11*-9 -99 Work out 106.8 * -0.2. -21.36 Product of -1 and 29. -29 Calculate -378*-0.09. 34.02 What is the product of 0.09 and 13.52? 1.2168 Work out -0.5 * -8. 4 Calculate -0.133*0.205. -0.027265 -0.1*0.234 -0.0234 Product of -69 and -2. 138 Work out -3 * 1664. -4992 Multiply 4.5 and -0.069. -0.3105 What is -0.4 times -1.73? 0.692 Product of 274 and -0.1. -27.4 Work out -3 * -0.15. 0.45 -363.9 times -0.1 36.39 What is the product of
{ "pile_set_name": "DM Mathematics" }
13 Let s = -331 + 330. Calculate the remainder when 151 is divided by (13 + -25)*(s + -5) - -5. 74 Let i(v) be the third derivative of -v**4/24 + 20*v**3 - 16*v**2 + 2*v. What is the remainder when i(-24) is divided by 29? 28 Suppose 32960 = 689*n - 29739. Suppose 5*v - v = 0. Calculate the remainder when n is divided by (v - 2)/((-2)/23). 22 Suppose 3*b - 319 - 14 = 0. What is the remainder when 253 is divided by b? 31 Suppose -286 = -327*b + 316*b. What is the remainder when b is divided by 18? 8 Suppose -4*o = -3*o + 4*x + 62, 2*o - 2*x + 104 = 0. Calculate the remainder when 12/o - (0 - 4245/27) is divided by 16. 13 Let z(f) = -f**2 + 11*f - 3. Let c be z(10). Suppose -h + 11 = -0*q + 2*q, -2*q + c = -3*h. Calculate the remainder when 71 is divided by h/(-2)*48/(-2). 11 Let x = 248 + -249. Calculate the remainder when x - (4 - 0) - -115 is divided by 7. 5 Let z = 5476 + -5404. What is the remainder when 789 is divided by z? 69 Let d(r) = -7*r**3 - r**2 + 2*r - 1. Suppose 12*v - 3*v = -963. Let o = -82 - v. What is the remainder when d(-2) is divided by o? 22 Let u = -143 - -251. Suppose 0 = -u*f + 115*f - 119. What is the remainder when 33 is divided by f? 16 Suppose v - 4*r = 126 - 12, 0 = r + 6. Calculate the remainder when 5666 is divided by v. 86 Let x(k) = -16*k - 2*k**2 + 3*k**2 + 12 + 8*k - 3. Let o be x(4). Let u(l) = -l**3 - 6*l**2 + 4*l + 14. Calculate the remainder when u(o) is divided by 11. 2 Let k(x) = x**2 + 8*x + 4. Suppose -5*o = -198 - 372. Suppose 0 = 6*i - 9*i + o. Calculate the remainder when i is divided by k(-9). 12 Suppose 3*n + 3*w - 3 = 0, -5*n - 2*w + 22 = 5. What is the remainder when 304 is divided by 25 - (n + 14/7)? 16 Let g(k) = k**2 + 43*k - 2117. Calculate the remainder when 286 is divided by g(32). 3 Suppose -4*g - 20 = 0, 30*r - 28*r = 5*g + 173. What is the remainder when r is divided by 11? 8 Suppose -28*l + 7*l + 15*l = -17988. Calculate the remainder when l is divided by 30. 28 What is the remainder when 701 is divided by (735/(-42))/((-4)/112*2) + 2? 207 Let v(i) = i**2 - 23*i + 162. What is the remainder when 1068 is divided by v(25)? 8 Let o = 198 - 149. Let c = -22 + 124. What is the remainder when c is divided by o? 4 Let t(c) = -17*c + 9. Let f(j) = -4*j**2 + 3*j. Let m be f(2). Let o be t(m). Calculate the remainder when (-63)/(-12) + -5 - o/(-4) is divided by 24. 21 Let v(n) = -2*n + 5. Let u be v(-8). Suppose 0 = 7*j - u + 7. What is the remainder when 47/15 + (-6)/45 is divided by j? 1 Let w = 16461 + -16446. What is the remainder when 2366 is divided by w? 11 Suppose 4*o = o + 1251. Suppose 9*c - 5*c = 4*f + 104, -3*c = f - 54. What is the remainder when o is divided by c? 17 Suppose -p + 2*k + 235 = 0, -685 = -3*p + 4154*k - 4158*k. What is the remainder when p is divided by 117? 114 Suppose -5*j + 75 = 3*p - 8*j, -5*j = 5*p - 155. Calculate the remainder when 1998 is divided by p. 10 Let v(r) = -32*r + 269. Suppose -101 = -s + 77. Calculate the remainder when s is divided by v(8). 9 Let b(c) = 3*c - 2. Let w be (-23 - -1) + (-5)/5. Let u = w + 29. Calculate the remainder when 57 is divided by b(u). 9 Suppose -662 + 2769 = 7*v. Suppose 1533 = 22*p + v. Calculate the remainder when p is divided by 22. 12 Let j(c) = -c**2 + 14*c - 8. Let f = -5199 - -5398. What is the remainder when f is divided by j(7)? 35 Suppose 0 = -f - f + w + 1160, 0 = 2*w + 8. Suppose 0 = -17*y + 19*y - f. What is the remainder when y is divided by 75? 64 Let y(r) be the second derivative of -3*r**3/2 + 51*r**2/2 - 53*r. Calculate the remainder when (1 - 2) + 0 + 41 is divided by y(5). 4 Suppose 4*d + a = -1953, -512 = d - 17*a + 22*a. Let u = 494 + d. Calculate the remainder when 1*2*54/4 is divided by u. 6 Let w be (-2 - (1 - 0)) + -5 + 3. Calculate the remainder when 24 is divided by (-4)/(9 + w) - -11. 4 Suppose -90 = -4*y + 3*y + i, 5*y - 450 = 2*i. Let g = 272 - 268. What is the remainder when y is divided by 4 + 19/(-5 - (-2 - g))? 21 Let u(a) = 2530*a - 17159. What is the remainder when u(7) is divided by 353? 198 Let b(h) = 253*h + 2556. What is the remainder when b(-4) is divided by 78? 62 Suppose -145 = 22*r - 27*r. Suppose r*c + 75 = 32*c. What is the remainder when 73 is divided by c? 23 Calculate the remainder when (35/175)/((-4)/(-5380)) is divided by 5. 4 Let h be ((-9)/(-12))/((-1)/(-8)). Let v(j) = 10*j - 25. Let k(g) = 21*g - 51. Let y(t) = -6*k(t) + 13*v(t). Calculate the remainder when y(h) is divided by 3. 2 Let k be 4/(4 + 0 + -3). Let b(i) = 10 + 8*i - i**2 + k*i**2 + 5*i**2 - 5*i**2. What is the remainder when b(-4) is divided by 15? 11 Suppose -8*n = -4*n + 7*f - 290, -5*f - 162 = -2*n. What is the remainder when 683*2 + (-3 - -3) is divided by n? 74 Let t = 1725 - 6191. Calculate the remainder when (t/(-126) + (-1)/9)*6 is divided by 36. 32 Suppose -14 = 2*c - 24. Suppose 2*m - 190 = m + l, -4*m + 697 = 5*l. What is the remainder when m is divided by c? 3 Let r = 22 - 18. Suppose 0 = r*h - 4*y - 80, 2*h - 42 + 14 = 5*y. Suppose 7*l - 897 = -246. Calculate the remainder when l is divided by h. 21 Let w = -140 - -127. Let q = 49 + -34. Calculate the remainder when q is divided by 2/13 + (-37)/w. 0 Suppose y = 4*o + 123, 268*o - 265*o = y - 119. Calculate the remainder when 657 is divided by y. 15 Suppose 0 = 20*p - 22*p + 20. Suppose 4*o + 3*s - 330 = 0, 3*s + 2*s + p = 0. What is the remainder when o is divided by (4*-11)/((-12)/6)? 18 Suppose 3*i - 3402 = 4*b - 17000, -i - 6800 = -2*b. What is the remainder when b is divided by 18? 17 Suppose 0 = 41*u - 31*u. Suppose 4 = -y + 5, -3*s + 4*y + 20 = u. What is the remainder when 222 is divided by s? 6 Let h = 18770 + -18119. What is the remainder when h is divided by 79? 19 Suppose 20*n - 265 = -65. Calculate the remainder when 276 is divided by (-4)/(24/(-30)*n/18). 6 Suppose -4*x = 6*x - 10. Let j be x/(2 - (-85)/(-45)). Let a(f) = -f**3 + 12*f**2 - 8*f - 2. What is the remainder when a(j) is divided by 34? 33 Let r(z) = 144*z**2 + 2*z - 1. Suppose -2*c = -4*n + 192 - 28, -7*n - 4*c = -227. What is the remainder when r(1) is divided by n? 34 Suppose -2*t - 8 = 3*k - 104, -53 = -2*k - 5*t. Let z = k + -34. Suppose z = -61*o + 57*o + 132. What is the remainder when 97 is divided by o? 31 Let p = 435 + -311. Suppose -4*m + 2*d - p = 0, 4*m - 5*m + d = 30. Let i = 48 + m. Calculate the remainder when 77 is divided by i. 13 Suppose -11*l + 6*l = 2*y - 494, 5*y + 5*l = 1250. Suppose y - 16 = w + 3*m, 0 = 2*w - 3*m - 427. Calculate the remainder when w is divided by 37. 36 Suppose 17*v = -3*v. Suppose -2*k - 2*y + 226 = v, 4*y = 4*k - k - 304. Calculate the remainder when 753 is divided by k. 105 Let s(c) = c + 479. What is the remainder when s(-8) is divided by 27? 12 Let f = 114 + -32. Suppose 236 = 6*l - f. Let t(n) = 11*n**3 + n**2 - 1. What is the remainder when l is divided by t(1)? 9 Suppose 160*r = 166*r - 918. Let l = r - 55. Calculate the remainder when l is divided by 17. 13 Suppose -9*h = -7*h - 30. Calculate the remainder when 86 is divided by h/10 + 0 + (-132)/(-8). 14 Suppose -2*r - 3*j + 83 = 0, 49*r - j = 46*r + 163. Calculate the remainder when 163 is divided by r. 7 Let o(f) = -2*f + 142. Suppose 27 = 5*n - 83. Calculate the remainder when o(n) is divided by 20. 18 Suppose b = -w + 5 + 4, 4*b - 20 = 0. What is the remainder when 1 + 9 - 15/(-5) is divided by w*2/((-24)/(-9))? 1 Suppose 8*u + 364 = -996. Let y = u + 196. Calculate the remainder when y is divided by 17. 9 Let u(n) = -90*n - 7722. Suppose -w - 4*z + 118 = 0, -169 = -3*w + z + 146. Calculate the remainder when w is divided by u(-86). 16 Let w be ((-104)/(-16))/(2/(-4)). Let r be 0 + -76 - (-12 - w). Let z = -41 - r. What is the remainder when 68 is divided by z? 32 What is the remainder when 2705 is divided by 7 + 23 - (-38 + 13)? 10 Let m = -194 + 106. Let z = 92 + m. Suppose 0 = -b + 2, -z*b = -0*c + 5*c - 18. Calculate the remainder when 2 is divided by c. 0 Let p(q) = q**2 + 17*q + 72. Let b be p(-7). Suppose 6 = 2*i + 2*t, 2*i + 0 = b*t + 2. Calculate the remainder when 9 is divided by i. 1 Let l = 118 - 67. Suppose 0*h - 9*h + 193 + 41 = 0. Calculate the remainder when l is divided by h. 25 Let h = -160 - -162. Suppose h*a - 9 = 11. Calculate the remainde
{ "pile_set_name": "DM Mathematics" }
prob of sequence gu when two letters picked without replacement from {g: 3, v: 10, u: 2}? 1/35 Two letters picked without replacement from hzzzzzzzhzzzzhzzzz. Give prob of sequence hh. 1/51 Four letters picked without replacement from {e: 5, p: 4, k: 8}. What is prob of sequence kpek? 1/51 Four letters picked without replacement from {v: 4, r: 2, u: 3, d: 6, b: 3, w: 1}. Give prob of sequence dvdr. 5/1938 Four letters picked without replacement from sgggsgggsg. Give prob of sequence gsgg. 1/8 Three letters picked without replacement from pxwwpxpdppwdpnwcw. Give prob of sequence pcn. 1/680 Calculate prob of sequence sccc when four letters picked without replacement from cssgssscgcsw. 1/330 What is prob of sequence wwaa when four letters picked without replacement from wwwaawwwwwwwwwwwwwaw? 4/285 Three letters picked without replacement from {m: 4, y: 10}. What is prob of sequence mym? 5/91 Four letters picked without replacement from {g: 5, m: 2, k: 2}. What is prob of sequence gmkm? 5/756 What is prob of sequence il when two letters picked without replacement from {l: 2, h: 1, r: 2, m: 4, i: 1}? 1/45 What is prob of sequence ddu when three letters picked without replacement from {d: 15, u: 4}? 140/969 Calculate prob of sequence ktkc when four letters picked without replacement from {k: 3, c: 1, t: 5}. 5/504 Two letters picked without replacement from {j: 7, v: 12, h: 1}. Give prob of sequence hj. 7/380 Three letters picked without replacement from sttiisisissjsjisizis. Give prob of sequence ttj. 1/1710 Calculate prob of sequence ss when two letters picked without replacement from shsnnnnsnsshsnnososi. 14/95 What is prob of sequence dxw when three letters picked without replacement from {d: 1, x: 3, g: 1, p: 7, w: 1}? 1/572 What is prob of sequence ens when three letters picked without replacement from {n: 1, s: 1, v: 1, t: 2, e: 1, q: 2}? 1/336 Calculate prob of sequence zl when two letters picked without replacement from {t: 3, w: 8, l: 1, z: 6}. 1/51 Calculate prob of sequence yy when two letters picked without replacement from yyyyyyynnyy. 36/55 Two letters picked without replacement from {a: 2, p: 2, d: 1, h: 5, t: 6, w: 1}. What is prob of sequence tp? 3/68 What is prob of sequence ovl when three letters picked without replacement from oxluvzo? 1/105 Three letters picked without replacement from {w: 7, g: 5, o: 3, s: 1}. Give prob of sequence sow. 1/160 Three letters picked without replacement from niwwwinwiwwwooiwn. Give prob of sequence onw. 1/85 What is prob of sequence fff when three letters picked without replacement from {f: 5}? 1 Three letters picked without replacement from {d: 2, a: 3}. What is prob of sequence daa? 1/5 Three letters picked without replacement from {t: 1, h: 1, r: 1, z: 2, j: 1, k: 1}. What is prob of sequence krz? 1/105 Calculate prob of sequence robv when four letters picked without replacement from {a: 1, k: 2, v: 1, b: 2, o: 1, r: 1}. 1/840 What is prob of sequence mmtt when four letters picked without replacement from ttmmmtttmttmtmtttt? 11/204 Two letters picked without replacement from bsessbdddbq. Give prob of sequence qe. 1/110 Four letters picked without replacement from rrrrrr. Give prob of sequence rrrr. 1 What is prob of sequence knnh when four letters picked without replacement from {k: 2, g: 2, h: 6, l: 1, n: 5}? 1/182 Calculate prob of sequence gi when two letters picked without replacement from {w: 1, r: 3, n: 2, g: 1, i: 4}. 2/55 Two letters picked without replacement from {c: 4, m: 5, b: 1, a: 3}. What is prob of sequence bc? 1/39 Four letters picked without replacement from {l: 4, b: 2, e: 2}. What is prob of sequence lebb? 1/105 What is prob of sequence luu when three letters picked without replacement from {u: 17, l: 1}? 1/18 What is prob of sequence yvjy when four letters picked without replacement from yjyjjvvyvjjvjj? 1/143 Two letters picked without replacement from {q: 3, k: 12}. What is prob of sequence qq? 1/35 What is prob of sequence ty when two letters picked without replacement from tytttyttyt? 7/30 Four letters picked without replacement from kzzkkazkakzkzazkzz. Give prob of sequence akza. 7/1530 Three letters picked without replacement from jrjzzjwwzzjjrwfjj. What is prob of sequence zrf? 1/510 Calculate prob of sequence pl when two letters picked without replacement from {l: 9, s: 8, p: 2, c: 1}. 9/190 Two letters picked without replacement from {m: 2, j: 5, k: 5, z: 1, r: 1, d: 2}. What is prob of sequence mz? 1/120 Three letters picked without replacement from {a: 1, c: 1, y: 1, w: 1, f: 1}. Give prob of sequence wca. 1/60 Three letters picked without replacement from fffffsff. What is prob of sequence fff? 5/8 Three letters picked without replacement from {f: 4, g: 5, t: 2, q: 4}. Give prob of sequence ftg. 4/273 Four letters picked without replacement from {f: 12, h: 1, p: 3}. What is prob of sequence pphp? 1/7280 What is prob of sequence vr when two letters picked without replacement from {v: 6, r: 6, c: 3}? 6/35 What is prob of sequence zj when two letters picked without replacement from ddvzydqdjyzyzddy? 1/80 Two letters picked without replacement from xiqttiii. Give prob of sequence it. 1/7 What is prob of sequence ss when two letters picked without replacement from ffkkfssdkrkk? 1/66 Two letters picked without replacement from {x: 3, e: 2, d: 1, z: 13}. Give prob of sequence dx. 1/114 Two letters picked without replacement from {k: 1, e: 1, o: 2}. What is prob of sequence ko? 1/6 What is prob of sequence ex when two letters picked without replacement from exzxxxxrrr? 1/18 Two letters picked without replacement from vvc. What is prob of sequence cv? 1/3 Two letters picked without replacement from odldo. What is prob of sequence oo? 1/10 What is prob of sequence qlml when four letters picked without replacement from mqmellmmilm? 1/264 Four letters picked without replacement from {t: 8, u: 3}. Give prob of sequence uttt. 7/55 Calculate prob of sequence kddk when four letters picked without replacement from {e: 10, w: 2, k: 1, d: 7}. 0 Calculate prob of sequence dd when two letters picked without replacement from yyyyddyzdyyydydyydd. 7/57 Two letters picked without replacement from {o: 4, v: 3}. What is prob of sequence vv? 1/7 Two letters picked without replacement from {i: 10, j: 3, r: 1, n: 2}. Give prob of sequence nn. 1/120 Calculate prob of sequence ju when two letters picked without replacement from {j: 2, k: 13, u: 1, d: 3}. 1/171 Calculate prob of sequence vi when two letters picked without replacement from tttvtttvvtttiiiv. 1/20 Three letters picked without replacement from evtv. What is prob of sequence tev? 1/12 What is prob of sequence risj when four letters picked without replacement from rerjiserxsrsxrejserj? 1/1615 Three letters picked without replacement from ttkgkttkttttktttkktk. Give prob of sequence tkk. 7/95 Two letters picked without replacement from {r: 4, m: 1, w: 5, s: 1, v: 7, z: 1}. What is prob of sequence wz? 5/342 Four letters picked without replacement from zzbbzqzzzqbzqqbb. Give prob of sequence zbqb. 1/78 What is prob of sequence vw when two letters picked without replacement from wvw? 1/3 Calculate prob of sequence vl when two letters picked without replacement from {o: 1, l: 3, i: 6, v: 4, z: 4, a: 1}. 2/57 Calculate prob of sequence qs when two letters picked without replacement from sqsqgssggqq. 8/55 Two letters picked without replacement from {v: 9, e: 5, j: 2}. Give prob of sequence ee. 1/12 Calculate prob of sequence sqqa when four letters picked without replacement from {q: 3, s: 3, a: 5}. 1/88 Calculate prob of sequence xx when two letters picked without replacement from {g: 2, x: 3}. 3/10 What is prob of sequence hhi when three letters picked without replacement from {z: 1, h: 4, i: 6, j: 1, v: 1}? 6/143 Four letters picked without replacement from {a: 5, c: 1, m: 12}. Give prob of sequence acam. 1/306 Three letters picked without replacement from {g: 2, a: 6}. Give prob of sequence agg. 1/28 What is prob of sequence ly when two letters picked without replacement from yeyeehnynieyeliye? 5/272 What is prob of sequence yi when two letters picked without replacement from wwuuwyiywbibuiuyyuub? 3/95 What is prob of sequence fr whe
{ "pile_set_name": "DM Mathematics" }
) + 3*i(v). Factor k(a). 3*(a + 1)*(a + 8) Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m. 1, 4 Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k? -1, 1, 2 Let i(r) be the second derivative of 12*r**2 + 4/5*r**6 + 19/2*r**4 - 1/14*r**7 - 14*r**3 + 0 + 51*r - 15/4*r**5. Factor i(q). -3*(q - 2)**3*(q - 1)**2 Let a be (4 - -1)*24/10. Suppose -7*x - 45 = -a*x. Solve -x - 25*r + 2 - 13 - 5*r**2 = 0. -4, -1 Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0. 3/7, 1 Let g(u) be the first derivative of 28 + 1250/9*u + 2/27*u**3 - 50/9*u**2. Factor g(f). 2*(f - 25)**2/9 Suppose -240218*y + 240094*y + 372 = 0. Suppose -1/2*d**5 - 25 + 5*d**3 - 26*d**2 - 105/2*d + y*d**4 = 0. Calculate d. -2, -1, 5 Let z(k) be the third derivative of -k**5/30 + 7*k**4 - 83*k**3/3 + 497*k**2. Factor z(i). -2*(i - 83)*(i - 1) Let i(r) be the second derivative of r**4/6 + 445*r**3/3 - 894*r**2 - 11*r + 314. Factor i(z). 2*(z - 2)*(z + 447) Let p(z) be the third derivative of 5*z**7/28 - 21*z**6/8 + 57*z**5/5 - 79*z**4/8 + 15*z**3/4 - z**2 - 27*z + 32. What is r in p(r) = 0? 1/5, 3, 5 Let t be 0/(-1*(2 + 0)). Suppose -10*l = 5*j - 9*l - 244, -j + 64 = 4*l. Find b, given that 4*b**4 - 23*b + j*b**2 + 0*b**4 + t*b**3 - 9*b - 24*b**3 = 0. 0, 2 Suppose 0 = -3*r + 3, -3*s - 77*r + 78*r = 1. Let m(z) be the second derivative of 0*z**2 + s*z**3 + 0 + 1/5*z**5 - 9*z + 0*z**4. Factor m(c). 4*c**3 Suppose 0 = -2*s + 4*i + 8, -5*i = s + 6 - 3. Find u, given that -8*u**3 - 23*u**3 - 25*u - 4*u**3 + 5*u**4 + 55*u**s = 0. 0, 1, 5 Let a(n) be the first derivative of -n**3/4 - 3*n**2/8 + 3*n/2 - 1376. Find p such that a(p) = 0. -2, 1 Let q(n) be the third derivative of -2 + 3/40*n**6 - 3/8*n**4 - 13*n**2 + 0*n - 1/4*n**5 + 2*n**3 + 1/70*n**7. What is l in q(l) = 0? -4, -1, 1 Let u(g) = 27*g**2 - 189*g - 2035. Let o(d) = 5*d**2 - d + 1. Let t(i) = 10*o(i) - 2*u(i). Suppose t(j) = 0. Calculate j. -10, 102 Let o be 13/(-1)*(7 - (-966)/(-182) - 2). Solve -27/4*a**3 - 19/4*a**2 + 0 + a**5 - a - 2*a**o = 0 for a. -1, -1/2, 0, 4 Let g(k) = 55*k**4 - 212*k**3 + 1782*k**2 - 4752*k + 4107. Let o(z) = -36*z**4 + 212*z**3 - 1782*z**2 + 4752*z - 4106. Let x(b) = 2*g(b) + 3*o(b). Factor x(f). 2*(f - 3)**2*(f - 2)*(f + 114) Let u(w) be the first derivative of 2*w**6/3 + 12*w**5 + 63*w**4 + 108*w**3 + 78. Let u(n) = 0. Calculate n. -9, -3, 0 Suppose -l - 9*l + 45 = -3*a - 7*l, 17*l - 289 = 0. Factor 2/3*g**3 + 19/2*g - 14/3*g**a - 6. (g - 4)*(2*g - 3)**2/6 Suppose -310 = -23*l + 472. Suppose -l*p + 102 = -0*p. Factor -2/3*w**4 + 0*w + 0 + 4/3*w**2 + 2/3*w**p. -2*w**2*(w - 2)*(w + 1)/3 Let d(q) be the second derivative of q**6/6 - 5*q**5/4 - 140*q**4/3 - 490*q**3/3 - 1019*q. Determine m so that d(m) = 0. -7, -2, 0, 14 Let a(k) be the third derivative of -k**5/180 + 365*k**4/72 - 521*k**2. Factor a(l). -l*(l - 365)/3 Determine x, given that 110592 + 168*x**2 - 2007*x - 6350*x + 195*x**2 + 1121*x - 5436*x = 0. 192/11 Let l(j) be the second derivative of -j**5/12 - 25*j**4/24 - 5*j**3 - j**2/2 - 14*j. Let x(y) be the first derivative of l(y). Factor x(f). -5*(f + 2)*(f + 3) Suppose 3*j - 31 = -5*i, 2*i = 13 - 3. Determine y so that -18*y + 41 + y**2 + 0*y**j + 0 + 4 = 0. 3, 15 Let g be ((-11 - -3)/(-4))/((-16)/(-24)). Determine t so that -18 + 2*t**5 + 10*t**4 - 6*t**3 + 20*t**2 - 12*t**4 + 2*t**g + 18*t - 16*t**3 = 0. -3, -1, 1, 3 Let s(w) be the third derivative of w**6/300 - 8*w**5/75 - 77*w**4/60 - 4*w**3 + w**2 + 1549*w. Factor s(n). 2*(n - 20)*(n + 1)*(n + 3)/5 Let i(j) be the third derivative of -5*j**8/336 - j**7/6 + j**6/12 + 23*j**5/6 - 325*j**4/24 + 125*j**3/6 - 62*j**2. Factor i(w). -5*(w - 1)**3*(w + 5)**2 Solve 135*f - 9/2*f**4 - 54*f**2 - 39*f**3 - 75/2 = 0. -5, 1/3, 1 Let d be 1/(-2)*0/151. Let u(c) be the first derivative of d*c**4 - 18/7*c**2 - 22/21*c**3 - 16/7*c + 2/35*c**5 + 6. Find k, given that u(k) = 0. -2, -1, 4 Let s be ((-14)/(-28))/(1/6). Find v such that 985*v**s + 4*v**4 + 28*v**2 - 32 - 1009*v**3 + 5*v + 27*v - 8*v = 0. -1, 1, 2, 4 Let n be ((-38)/(-475))/((-20)/(-110) - 12/(-55)). Solve -9/5*g - 14/5 - n*g**2 = 0. -7, -2 Let v be -38 + 87 - (5 + -2). Suppose -38*z**3 + 40*z**2 - 12 + 27*z**3 + 29*z**3 - v*z = 0. Calculate z. -3, -2/9, 1 Let m be (186 + (-180700)/973)/(6/(-14) + 1). Solve -9/2*s**2 + 0 - m*s**3 - 4*s = 0. -8, -1, 0 Suppose -124*f**2 - 30*f**3 - 184/3*f + 54*f**4 - 16/3 = 0. What is f? -2/3, -1/9, 2 Suppose 487 = 6*o + 259. Factor 18*p**2 - 17*p**2 + o - 20 - 9*p. (p - 6)*(p - 3) Suppose 0 = 53*b + 54 - 266. Let t(u) be the second derivative of 1/90*u**b + 0 - 4*u - 4/15*u**2 + 0*u**3. Factor t(y). 2*(y - 2)*(y + 2)/15 Let f = -564802 + 273364895/484. Let l = f - 1/484. Suppose -3/2*n**2 + l*n**3 - 3/2*n + 3/2 = 0. What is n? -1, 1 Suppose 12*d + 2*d = 14. Suppose -65*b - d = -1. Factor 0 - 2/9*a**3 + 0*a**2 + 2/9*a**5 + b*a + 0*a**4. 2*a**3*(a - 1)*(a + 1)/9 Let w be (-1)/2 + 45/10. Factor -2*a + 5*a + w*a - 4*a**3 + a + 4*a**2. -4*a*(a - 2)*(a + 1) Let a(r) be the first derivative of -2*r**5/15 + 7*r**4/3 - 106*r**3/9 + 16*r**2/3 + 56*r + 5334. Solve a(s) = 0 for s. -1, 2, 6, 7 Let a(f) = 11*f**4 - 11*f**3 - 2*f**2 - 4. Let l(g) = -9*g**4 + 9*g**3 + 3*g**2 + 3. Let o(k) = 3*a(k) + 4*l(k). Suppose o(h) = 0. What is h? -1, 0, 2 Let t(p) be the first derivative of 5/6*p**4 - 4 + 1/12*p**5 + 10/3*p**3 + 0*p - 39/2*p**2. Let c(z) be the second derivative of t(z). Solve c(j) = 0. -2 Suppose 0 = 59*g - 42*g - 255. Suppose 5*s - y = 25, 16*s - y + g = 19*s. Solve 3*j**4 + 0*j + 4/3*j**s + 1/3*j**2 + 2*j**3 + 0 = 0 for j. -1, -1/4, 0 Suppose -2*l + 0*d + 7 = -3*d, l = d + 3. Factor -152*y**3 - 4*y**l + 148*y**3 - 2*y + 0*y**4 - y**4 - y**2. -y*(y + 1)**2*(y + 2) Suppose -9*f + 2*f = -105. Suppose 180*s**3 + 170*s**2 + 37*s**5 - f*s**5 + 21*s**4 + 55*s + 49*s**4 - 17*s**5 = 0. What is s? -11, -1, 0 Let a(o) be the second derivative of 0 + 0*o**2 + 0*o**3 + 62*o - 1/70*o**5 + 1/14*o**4. Factor a(c). -2*c**2*(c - 3)/7 Let l(f) = -3*f**2 + 18*f - 45. Let s be l(3). Let g be 29 + -23 + 100/s. Factor 2/3 - 2/9*j**2 + g*j. -2*(j - 3)*(j + 1)/9 Determine t so that -11305*t + 54473 - 71*t**2 + 826*t**2 - 14048 + 5*t**3 = 0. -165, 7 Let c(w) = -3*w**4 + w**3 + 2*w**2 - 4*w + 1. Let l(t) = 16*t**4 + 13*t**3 + 59*t**2 - 68*t - 5. Let a(k) = -10*c(k) - 2*l(k). Factor a(q). -2*q*(q - 1)*(q + 8)*(q + 11) Let y(q) be the first derivative of 5*q**3/3 - 565*q**2/2 - 1879. Factor y(p). 5*p*(p - 113) Let g(p) = 27*p**4 + 501*p**3 + 232*p**2 + 20*p + 5. Let s(q) = q**4 - q**3 + 2*q**2 + 2*q - 1. Let b(t) = -g(t) - 5*s(t). Factor b(k). -2*k*(k + 15)*(4*k + 1)**2 Let g(h) be the first derivative of 1/3*h**3 - 27/2*h**2 + 0*h + 186. Factor g(o). o*(o - 27) Let o(c) be the first derivative of 0*c**2 - 6 + 0*c**4 + 1/20*c**5 - 10*c - 1/6*c**3. Let a(n) be the first derivative of o(n). Factor a(w). w*(w - 1)*(w + 1) Suppose 88 = -a + 92. Suppose 604*s - 299*s - 305*s - 5*s**a + 5*s**2 = 0. What is s? -1, 0, 1 Let n(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**5 + 0*c**2 - 2/15*c**6 + 37*c + 0 - 1/21*c**7. Determine v, given that n(v) = 0. -1, 0, 1 Factor -13428/7*p**2 - 5604672636/7 + 15025932/7*p + 4/7*p**3. 4*(p - 1119)**3/7 Let b(i) be the second derivative of -7*i**5/5 - 1027*i**4/3 + 196*i**3 - 831*i. Suppose b(o) = 0. Calculate o. -147, 0, 2/7 Factor 224*g**2 - 1520*g + 145*g**2 + 20*g**3 + 70 + 367*g**2 - 144*g**2 + 442. 4*(g - 2)*(g + 32)*(5*g - 2) Solve -1/3*s + 6*s**2 + 1/3*s**3 - 6 = 0 for s. -18, -1, 1 Let z(x) = x**2 - 411*x - 4022. Suppose -2*p + 2*h = 26, -13*p = -11*p + h + 20. Let y(r) = -r**2 + 206*r + 2012. Let l(t) = p*y(t) - 6*z(t). Factor l(w). 5*(w + 20)**2 Let f(a) be the third derivative of -a**7/420 - 2*a**6/45 + 3*a**5/20 - 81*a**3/2 - a**2 - 20. Let b(v) be the first derivative of f(v). Factor b(p). -2*p*(p - 1)*(p + 9) Suppose -112/3 + 2/9*x**3 + 28/9*x**2 - 310/9*x = 0. What is x? -21, -1, 8 Let l(r) be the second derivative of -2*r + 2/5*r**2 - 1/15*r**4 + 1/25*r**5 - 52 - 2/15*r**3. Let l(x) = 0. What is x? -1, 1 Let t(j) be the second derivative of j**4/15 + 164*j**3/3 - 822*j**2/
{ "pile_set_name": "DM Mathematics" }
. Let v(m) be the third derivative of m**4/6 - 25*m**2. Determine s(v(j)). -160*j**2 Let k(d) = -4*d**2. Let p(y) = -3*y**2. Let t(u) = -6*k(u) + 7*p(u). Let l(q) = 7*q. What is t(l(j))? 147*j**2 Let y(c) = c. Let r(h) = 12*h. Let d(v) = -2*r(v) + 27*y(v). Let m(u) = -3*u**2. Calculate d(m(o)). -9*o**2 Let l(w) be the first derivative of w**3/3 + 18. Let z = 1 + 2. Let c(q) = -3*q - 2*q + z*q. Determine l(c(g)). 4*g**2 Let d(m) = -8*m**2. Let x(y) = -3*y + 3 - 3 + y**2. Let g(k) be the second derivative of k**4/12 - 5*k**3/6 - 10*k. Let v(a) = -3*g(a) + 5*x(a). Give d(v(t)). -32*t**4 Let c(p) = 1 - 3 + 1. Let k(s) be the second derivative of -s**3/6 + 5*s**2/2 + s. Let u(x) = 5*c(x) + k(x). Let g(r) = r**2. What is u(g(b))? -b**2 Let b(h) = h + 63. Let s(u) = -u**2. What is b(s(v))? -v**2 + 63 Let k(p) be the first derivative of -23*p**2/2 - 29. Let c(a) = 2*a**2. Give c(k(n)). 1058*n**2 Let d(b) = 3*b - 2. Suppose 4*j + 3*s = 16, j + 1 = -5*s + 5. Let y(k) = -4*k + 3. Let m(c) = j*y(c) + 6*d(c). Let g(p) = 2*p. What is g(m(h))? 4*h Let v(l) = 4*l**2. Let h(b) be the second derivative of 2*b**4/3 - 16*b. Give v(h(m)). 256*m**4 Let b(q) be the second derivative of -q**4/12 + 5*q**3/6 + 30*q. Let t(k) = k. What is t(b(d))? -d**2 + 5*d Let g(d) = d - 838. Let m(s) = s. Give m(g(l)). l - 838 Let v(c) = 234*c. Let r(u) = -2*u**2. Determine v(r(f)). -468*f**2 Let o(x) = -9*x - 5. Let g(m) = -14*m - 8. Let n(k) = 5*g(k) - 8*o(k). Let i(j) = 16*j. Give i(n(a)). 32*a Let o(h) = -2*h. Let d(w) = 29*w. Give o(d(y)). -58*y Let u(x) = -x + 1. Let y(w) = 5*w - 2. Let n(i) = -2*u(i) - y(i). Let o(l) = -5*l. Determine o(n(c)). 15*c Suppose 0 = -5*i - n + 22, 4 = 2*i - n - n. Let u(x) be the third derivative of 0*x**3 + 0 + i*x**2 + 0*x + 1/12*x**4. Let z(t) = -5*t. Calculate z(u(v)). -10*v Let j(g) = 58*g. Let o(q) = -7*q**2. What is o(j(u))? -23548*u**2 Let b(s) = -159*s. Let t(z) = -2*z**2. Give t(b(x)). -50562*x**2 Let p(o) = -2*o**2. Let g(z) be the second derivative of z**7/840 + z**4/12 + 4*z. Let d(u) be the third derivative of g(u). Determine p(d(h)). -18*h**4 Let s(a) = a**2. Let c(l) be the second derivative of -l**4/12 - 2*l**3/3 - l**2/2 - l. Let h be c(-3). Let t(o) = -h*o**2 - 2*o**2 + 2*o**2. What is t(s(m))? -2*m**4 Let y(i) be the second derivative of -i**3/2 - i. Let g(l) = -2*l**2. Determine y(g(z)). 6*z**2 Let w(q) = -6*q. Suppose -5*i + 0*g + g + 35 = 0, -2*i + 32 = -4*g. Suppose -4*m = 2*p - i*p - 16, 0 = 3*m - 12. Let j(y) = -y + p*y + 0*y. Determine w(j(a)). 6*a Let b be (-2)/(-6) + 4/6. Let w(l) = l - 1. Let x(j) = 3*j - 2. Let d(q) = b*x(q) - 2*w(q). Let z(s) = 5*s - 2*s - 5*s. Calculate d(z(g)). -2*g Let q(i) = -i**2. Let v(u) = 126*u**2. Determine q(v(b)). -15876*b**4 Let w(o) = 2*o. Let p be -1 - -4*(-1 + 4). Suppose 0 = -2*a + q + 13, -4*q - p = a - 31. Let r(j) = 8*j - a*j + j**2. What is r(w(y))? 4*y**2 Let g(x) = -2*x. Let h(q) = 2*q**2 + q + 104. Determine g(h(y)). -4*y**2 - 2*y - 208 Let x(u) = -2*u. Let b = -8 + 15. Let n(d) = -b*d - 1 + 3 - 2. Give n(x(r)). 14*r Let u(p) = -4*p**2 - 4*p. Let k(f) = 3*f**2. What is k(u(w))? 48*w**4 + 96*w**3 + 48*w**2 Let f(u) = u**2 - u. Let n(v) = 10*v**2 - 30*v. Let t(j) = -30*f(j) + n(j). Let i(h) = -h. What is t(i(a))? -20*a**2 Let m(c) = 2*c. Suppose -28 = -4*p + 5*h, 2*h - 12 - 2 = -2*p. Let b(x) = -p*x - 3*x + 11*x. Calculate b(m(w)). 2*w Let z(b) be the second derivative of -b**4/6 + b - 5. Let i(q) be the first derivative of -4*q**3 - 1. Give z(i(p)). -288*p**4 Let m(g) = 2*g. Let h(c) be the second derivative of c**3/6 - 7*c. What is h(m(t))? 2*t Let j(h) = h. Let p(i) = -3*i**2 - 3*i - 3. Let g(t) = -12*t**2 - 13*t - 13. Let f(n) = -6*g(n) + 26*p(n). Give j(f(z)). -6*z**2 Let b(f) = 8*f**2. Let w(o) = -7*o + 5*o + 4*o. What is w(b(g))? 16*g**2 Let u(h) = -4*h**2. Let o(b) = -247*b. Calculate o(u(q)). 988*q**2 Let b(s) = 181*s**2 - 1. Let q(m) = 7*m. Calculate q(b(z)). 1267*z**2 - 7 Let h(c) = -2*c - 11. Let u(z) = z**2. Give h(u(f)). -2*f**2 - 11 Let t(o) = 3*o**2 - 215*o + 215*o. Let p(l) = 3*l. Determine p(t(f)). 9*f**2 Let h(q) be the first derivative of q**2/2 + 1. Suppose -3*y - 3 = -3*v + 3, -3*v + 6 = 5*y. Let p(w) = 3*w + v - 4 + 2. Calculate p(h(c)). 3*c Let o be 1*-3*(4 - 5). Let j(l) = 2*l - o*l + 3*l. Let x(d) = -d. Let c(s) = -8*s. Let p(h) = 2*c(h) - 20*x(h). Give p(j(z)). 8*z Let j(c) be the first derivative of 0*c**2 - 5/3*c**3 + 0*c - 4. Let q(m) = -m**2. Determine q(j(f)). -25*f**4 Let t(i) = -i**3 - 2*i**2 + i - 4. Let s be t(-3). Let v(p) = -p - 3*p + 4*p + s*p. Let u(r) = -2*r. Give u(v(a)). -4*a Let p(h) = 3*h. Let x(w) be the first derivative of -6 + 1/2*w**2 + 0*w. Calculate x(p(d)). 3*d Let i(j) = 1. Let p(z) = -4*z + 16. Let c(w) = -16*i(w) + p(w). Let y(v) = -v**2. What is c(y(s))? 4*s**2 Let o(a) = -7038*a. Let f(g) = -g. Calculate f(o(j)). 7038*j Let o(k) = 9*k - k - 5*k. Let x(z) = -z**2 - 7. Let w(h) = 2. Let s(d) = 7*w(d) + 2*x(d). Calculate o(s(c)). -6*c**2 Let s(q) = 6*q. Let w(z) = -52*z**2 + 2*z + 54*z**2 - 2*z. Determine w(s(p)). 72*p**2 Let j(l) = 7*l - 5. Let h(a) = -6*a + 4. Let p(d) = 5*h(d) + 4*j(d). Let q(s) = -3*s. Determine p(q(g)). 6*g Let i(y) = -4001*y. Let f(o) = -o. Determine i(f(c)). 4001*c Let x(p) = p**2 + 1. Let t(j) = -9*j**2 - 1. Let g(l) = -3*t(l) - 3*x(l). Let r(w) = -w**2. Determine r(g(u)). -576*u**4 Let j(m) = 4*m**2. Let p = 9 + -3. Let t(v) = -p*v + v + 3*v. Give j(t(r)). 16*r**2 Let d(y) = 4*y**2 - 2. Let f(a) = -5*a**2 + 3. Let x(p) = -3*d(p) - 2*f(p). Let j(n) = -n**2. Calculate j(x(k)). -4*k**4 Let a(x) = 9*x**2. Let w(p) = p + 5. Let f(y) = 1. Let d(h) = 10*f(h) - 2*w(h). Give a(d(k)). 36*k**2 Let a(x) = 16*x. Let b(h) = -47*h**2 - 42*h**2 + 92*h**2. Calculate a(b(f)). 48*f**2 Let c(n) = -6*n + 5*n + 8*n. Let a(w) be the second derivative of -w**3/6 + 2*w. What is c(a(z))? -7*z Let w(f) = -9*f. Let u(a) = -a. Let g(q) = -15*q. Let m(n) = -g(n) + 5*u(n). Let x(o) = 3*m(o) + 4*w(o). Let d(k) = k + 2*k - 4*k. Determine d(x(c)). 6*c Let s(j) = 5*j + j + 3*j - 7*j. Let w(o) = 8*o - 2. Determine w(s(n)). 16*n - 2 Let d(k) be the first derivative of -15*k**2/2 + 16. Let m(v) = 2*v. Determine d(m(u)). -30*u Let x(w) = -7*w**2 + 6*w - 6. Let p(t) = 2*t - 13*t**2 - 11 + 9*t + 0*t + 0*t. Let n(r) = -6*p(r) + 11*x(r). Let f(i) = -3*i**2. Give f(n(l)). -3*l**4 Let f(d) = -18*d**2. Let k(i) = i. Let p(b) = 8*b. Let h(r) = -6*k(r) + p(r). What is h(f(o))? -36*o**2 Let n(u) = -21*u. Let g(w) = 29*w**2 - 2. Determine n(g(b)). -609*b**2 + 42 Let f(u) = -36*u**2 - 13. Let s(k) = -2*k. Give s(f(y)). 72*y**2 + 26 Let h(x) = -x**2 - x. Let j(f) = 10*f**2 + 12*f. Let k(d) = -12*h(d) - j(d). Let c(q) = -5*q - 2*q + 7*q + 2*q**2. Give c(k(p)). 8*p**4 Let r(g) = 2*g**2. Let p(u) = 337*u**2. What is r(p(a))? 227138*a**4 Let w(d) = -d. Suppose 2*y = y. Let n(k) = -k + y*k - k + k. Determine w(n(i)). i Let i(j) = -2*j**2. Let r(c) = -2*c**2 + 0*c**2 - 2*c**2 + 0*c**2. Calculate r(i(w)). -16*w**4 Let d(r) = -3*r**2 + 5*r + 5. Let c(j) = 2*j**2 - 4*j - 4. Let x(n) = n - 4. Let y be x(0). Let q(z) = y*d(z) - 5*c(z). Let h(u) = u. Determine h(q(p)). 2*p**2 Let x(s) = -2*s - 10. Let v(y) be the third derivative of y**3/6 + 2*y**2. Let a(h) = -10*v(h) - x(h). Let z(c) = 12*c**2 - 5*c**2 - 10*c**2. Give a(z(r)). -6*r**2 Let l(m) = -6*m. Let y(i) = 4*i**2 - 96*i. What is l(y(s))? -24*s**2 + 576*s Let a(g) = 137*g. Let v(q) = -4*q**2. What is a(v(z))? -548*z**2 Let r(z) = -7*z**2. Let x(i) be the first derivative of 2*i**3 + 26. Calculate x(r(y)). 294*y**4 Let w(z) = -z + 1. Let l(d) = -d**2 - 6*d + 6. Let k(c) = -l(c) + 6*w(c). Let f(t) = t**2. Give f(k(s)). s**4 Let d(w) = 2*w**2. Suppose -3*g + 9 = -12. Let n = -5 + g. Let o(s) = -2*s**n + s**2 - s**2 + s**2. Calculate d(o(z)). 2*z**4 Let z(c) = -18*c**2 + 45*c**2 - 26*c**2. Let q(b) = -9*b**2 - b. Calculate z(q(k)). 81*k**4 + 18*k**3 + k**2 Let x(i) = i. Let y(z) = 5*z. Let s(q) = -4*x(q) + y(q). Let r(v) = 2 - 3 - 6*v + 1. Determine s(r(o)). -6*o Let f(b) be the second derivative of b**3/3 - 2*b. Let z(r) be the second derivative of 2*r**3/3 - 3*r. Determine z(f(p)). 8*p Let t(w) = 15*w**2 - 11. Let r(v) = 8*v**2 - 6. Let d(k) = 11*r(k) - 6*t(k). Let m(z) be the third derivative of -z**4/6
{ "pile_set_name": "DM Mathematics" }
*f - 360. Let z = -1 - -10. What is the greatest common factor of z and f? 9 Let x(k) = 10*k - 2. Let n be x(4). Calculate the greatest common divisor of n and 19. 19 Let v(s) = -12*s + 2. Let x be v(-2). What is the greatest common divisor of x and 13? 13 Let j(m) = 4*m**2 - 2*m + 3. Let r be j(2). What is the greatest common divisor of 10 and r? 5 Let k = 21 - 20. Let v be (-7)/(k + 4 + -6). Let d be (-39)/(-6) + (-2)/(-4). Calculate the greatest common factor of v and d. 7 Let u be 15/(6*2/40). Suppose -4*o + u = o. What is the highest common divisor of o and 10? 10 Suppose -3*s - 114 = -4*b + b, -4*b - 2*s + 122 = 0. What is the greatest common divisor of 44 and b? 11 Suppose 0*h - 2*h = 0. Suppose 3*g + 2*m - 10 = h, 0 = -3*g - 5*m - 0 + 7. Calculate the highest common divisor of g and 16. 4 Let s = 385 - 201. What is the highest common divisor of s and 8? 8 Let q be (2 - 0) + -1 - -1. Suppose q*u - 6 = -0*u. Suppose k - 12 = -3*k. What is the greatest common factor of u and k? 3 Let a(x) = 2*x - 16. Let d be a(9). Suppose -12 = -3*b, 0*b - b + 136 = d*q. What is the highest common divisor of 11 and q? 11 Let r be (8/(-10))/(1/(-35)). Let c be (-1 - -2)/(0 - 2/(-8)). Calculate the greatest common factor of r and c. 4 Suppose 4*m - 8*m + 48 = 0. Let u be 18/m*(1 - -5). What is the greatest common factor of 36 and u? 9 Let j be (-1 + 0 + -9)*(12 + -13). What is the greatest common divisor of 100 and j? 10 Let w = 7 + 14. Calculate the greatest common divisor of 63 and w. 21 Suppose -3*h - 36 + 144 = 0. Calculate the highest common factor of 90 and h. 18 Let s(v) = 6*v**2 + 2*v - 4. Let g be s(4). Calculate the greatest common divisor of g and 20. 20 Let r(z) = -z**2 + 5*z. Let m be r(3). Let y = 32 - 20. What is the greatest common divisor of y and m? 6 Let b = 129 + -91. Let h(y) = -6*y**2 + 3*y + 1. Let s be h(-2). Let p = 48 + s. What is the greatest common factor of b and p? 19 Let f(x) = 3*x**2 + 6*x + 3. Let h be f(-5). Let n = -3 + h. Calculate the highest common factor of n and 18. 9 Suppose -2*a + 7*a = 55. Suppose 0 = -5*o + 4*l + 393, o - 4*l - 73 = -6*l. Calculate the highest common factor of a and o. 11 Let j(k) = 5*k + 31. Let g be j(-5). What is the highest common factor of 21 and g? 3 Let b(x) be the third derivative of -x**4/24 + 8*x**3/3 - 5*x**2. Let m = 12 - 3. Let s be b(m). What is the greatest common divisor of 49 and s? 7 Let d be 15 - ((1 - 0) + (-9 - -9)). Calculate the highest common divisor of 2 and d. 2 Let b = -6 + 3. Let c = 7 + b. Let d be c/(-14) - (-634)/14. What is the highest common factor of d and 15? 15 Let v be 4/(-14) + (940/7 - -2). What is the greatest common divisor of v and 8? 8 Let o be 0 + 0 + (1 - -107). Suppose 5*c - c - 52 = -y, -3*y + 4*c + o = 0. Calculate the greatest common divisor of y and 100. 20 Let n(c) = -c**3 + 7*c**2 + c - 5. Let p be n(-5). Let r = p + -164. Let h(l) = l**2 + 4*l + 6. Let j be h(-6). Calculate the greatest common factor of j and r. 18 Suppose -3 = 3*z - 0. Let j be (z - -2)*(-36)/(-3). Suppose 5*t - j = -3*y, -y + 4 = -0*y + 3*t. Calculate the greatest common divisor of 10 and y. 2 Suppose 30*i = 16 + 14. Suppose -2 = -4*h - 4*s + 2, 5*s - 4 = -4*h. Let g(c) = 10*c**2 - 1. Let m be g(h). Calculate the greatest common divisor of m and i. 1 Let y(r) = r**2 - 6*r + 8. Let q be y(6). Let d be (-5)/2*32/(-10). Let g = d + q. Calculate the highest common factor of g and 48. 16 Let l = -78 + 43. Let h = -7 - l. Suppose -2*w = -3*j - 8 + 46, 0 = 5*j - 4*w - 62. What is the highest common factor of j and h? 14 Let h = -120 + 168. What is the greatest common factor of h and 16? 16 Let i = -5 + 5. Suppose i = -5*m + 6 - 1. Suppose 0 = -2*f + 6 + 2. Calculate the highest common factor of f and m. 1 Let k(a) = -1 - 3 - 2 + 4 + a. Let l be k(11). Calculate the greatest common divisor of l and 9. 9 Let z(j) = 98*j**2 - 2*j - 1. Let t = 34 - 35. Let h be z(t). Let c(u) = u**3 - u**2 + u + 9. Let i be c(0). What is the greatest common factor of h and i? 9 Let k = -25 - -55. Calculate the highest common factor of k and 60. 30 Let r = 15 + -39. Let f be 42/(r/(-10) - 2). Suppose 0 = -2*p - j + 101, 0*p - 2*p + f = 5*j. Calculate the greatest common factor of p and 10. 10 Let o(n) = -n**2 + 6*n + 6. Let k be o(6). Calculate the highest common factor of 12 and k. 6 Suppose 5*w - w = 216. Suppose 2*x = -w + 162. Calculate the highest common divisor of x and 18. 18 Let i = 116 - -1. Suppose 10*b + 5*u = 5*b + 30, 2*u = -4. Let d be (-3)/4 + 110/b. What is the greatest common divisor of i and d? 13 Suppose 0*l = -3*l + 135. Let s(v) = -v + 30. Let k be s(0). What is the highest common divisor of k and l? 15 Suppose 3*o = o - 4. Let u = 4 + o. Suppose -3*s + u = -1. What is the highest common factor of s and 8? 1 Let p(c) = 3*c**3 - 3*c**2. Suppose -2*d = 2*z - 10, -5*z = 4*d - 3*z - 14. Let y be p(d). Calculate the highest common divisor of y and 3. 3 Suppose -2*l = 2*l - 28. Suppose 52 = 5*k + 4*s, 3*k - l*s + 2*s - 46 = 0. Calculate the highest common factor of k and 132. 12 Let g = -9 + 10. Suppose -4*u = t + 8, 5*u = 2*t - 4*t - g. Calculate the greatest common factor of 96 and t. 12 Let j = 174 - 172. Let a(c) = -4*c - 2. Suppose 0*z + 2*z = -10. Let x be a(z). Calculate the highest common factor of j and x. 2 Let k = -52 - -151. Suppose -6*w = -w + 15. Let f(c) = -2*c + 3. Let b be f(w). What is the greatest common divisor of b and k? 9 Let a(b) = 3*b - 2. Let d be a(2). What is the greatest common factor of d and 44? 4 Let d be -3*6/(-1) - 2. What is the greatest common divisor of d and 16? 16 Suppose 0 = -c - 0*c + 168. Let s be -5 + 3 + (21 - -2). Calculate the greatest common divisor of s and c. 21 Let g(v) = -v**3 - 2*v**2 - 2*v - 1. Let z be g(-2). Let c be (0 - 0)/z - 1. Let i be 1 - (c + 2) - -2. Calculate the greatest common factor of 2 and i. 2 Suppose -3*l = 4*n - 337 + 85, 0 = -2*l - 4*n + 172. What is the highest common factor of 20 and l? 20 Suppose i = 3*i + 4, -3*q + 77 = -4*i. Calculate the highest common factor of q and 184. 23 Let b(u) be the third derivative of u**4/24 + 5*u**3/3 - 3*u**2. Let k be b(-11). Let y = 25 - k. Calculate the highest common divisor of 65 and y. 13 Let f(l) = -l**2 + 17*l + 34. Let v be f(18). Let y be ((-3)/2)/((-6)/160). Calculate the greatest common factor of y and v. 8 Suppose 3*f - 19 = -s + 3, -140 = -4*s + f. What is the greatest common factor of s and 85? 17 Let h(d) = -d**3 - 7*d**2 - 7*d - 3. Let z be h(-6). Suppose z*b = b. Suppose b*n = -4*n + 48. What is the highest common factor of 18 and n? 6 Let a be (2 - 0)/(4/90). Suppose 2*q + 24 = 74. Let o = -16 + q. Calculate the highest common divisor of a and o. 9 Suppose 0*w + 5*a = w - 43, 237 = 5*w - 3*a. What is the highest common factor of w and 6? 6 Let b be ((-888)/(-185))/((-6)/(-20)). Let w(f) = f**2 - f - 2. Let r be w(3). Calculate the greatest common divisor of r and b. 4 Suppose 0 = -2*l + 5*l + w - 12, -17 = -4*l - w. Let v(f) = f - 3. Let m be v(l). Suppose 0 = 27*g - 45*g + 72. What is the highest common factor of g and m? 2 Let m(x) = -x**3 + 5*x**2 - 4*x + 4. Let o be m(3). Suppose 3*f - o - 212 = 0. Let t = f + -26. Calculate the highest common divisor of 12 and t. 12 Let x(m) = m - 2. Let k be x(0). Let l = k + 9. Suppose 0 = 4*w - l*w + 39. What is the greatest common divisor of 39 and w? 13 Suppose -v + 15 = -4*v, 4*v = -2*l - 14. Calculate the greatest common factor of l and 21. 3 Suppose -11*h = -7*h - 16. Calculate the greatest common factor of h and 72. 4 Let y be (-30)/(-9)*(-1 + 16). Suppose -4*j + 25 + 15 = 0. Calculate the greatest common factor of y and j. 10 Suppose -4*g + 5*j = -55, -g + 0*j - 2*j = -17. Calculate the greatest common factor of g and 15. 15 Let u be 3/12 - 37/4. Let j = u + 21. What is the highest common factor of 3 and j? 3 Suppose -11*h - 166 + 804 = 0. What is the greatest common factor of h and 87? 29 Let t(p) = -13*p + 57. Let u be t(3). Suppose 3*d = -2*d - v + 814, 470 = 3*d - 4*v. Calculate the greatest common divisor of d and u. 18 Let c be (20/6)/(2/6). Let n be (-14)/(-3)*(-36)/(-42). Let u be 8 + ((-36)/n)/3. What is the greatest common divisor of u and c? 5 Let o be (5 - 0) + (-1)/(-1). Let s be 9/(-4)*(-24)/3. Su
{ "pile_set_name": "DM Mathematics" }
multiple of 10? True Is 12 a factor of 876? True Is 14869 a multiple of 8? False Does 4 divide 280? True Is 150 a factor of 22050? True Is 40 a factor of 3280? True Is 14 a factor of 3546? False Does 14 divide 1625? False Is 34 a factor of 4386? True Does 138 divide 28158? False Does 220 divide 18036? False Is 233 a multiple of 98? False Is 991 a multiple of 7? False Is 12 a factor of 3214? False Is 335 a multiple of 24? False Is 5439 a multiple of 21? True Does 37 divide 22202? False Is 29840 a multiple of 40? True Is 126 a factor of 4788? True Is 4556 a multiple of 34? True Is 213 a multiple of 4? False Is 13632 a multiple of 71? True Does 57 divide 1140? True Is 297 a multiple of 27? True Is 17 a factor of 37536? True Is 407 a multiple of 51? False Does 21 divide 1617? True Is 7 a factor of 390? False Does 32 divide 288? True Does 10 divide 322? False Is 63 even? False Is 44 a factor of 220? True Is 14 a factor of 64339? False Is 11 a factor of 7200? False Is 35 a factor of 315? True Does 3 divide 114? True Is 8526 a multiple of 29? True Does 184 divide 36432? True Does 41 divide 697? True Is 2001 a multiple of 2? False Is 41 a factor of 3690? True Is 14 a factor of 6651? False Is 5639 a multiple of 46? False Is 938 a multiple of 7? True Is 21 a factor of 1008? True Is 3798 a multiple of 31? False Is 6193 a multiple of 85? False Is 13 a factor of 9529? True Is 19 a factor of 893? True Is 6 a factor of 262? False Is 4727 a multiple of 29? True Does 40 divide 8120? True Is 26625 a multiple of 15? True Is 6 a factor of 49461? False Is 6237 a multiple of 16? False Is 67 a factor of 402? True Does 11 divide 922? False Does 20 divide 546? False Is 144 a multiple of 18? True Does 33 divide 3664? False Is 5255 a multiple of 6? False Is 3826 a multiple of 3? False Is 3 a factor of 405? True Does 39 divide 663? True Is 4 a factor of 310? False Is 448 a multiple of 7? True Is 18920 a multiple of 5? True Is 53 a factor of 265? True Is 1846 a multiple of 207? False Is 10 a factor of 13830? True Is 32 a factor of 7040? True Does 41 divide 14186? True Does 24 divide 912? True Does 21 divide 798? True Is 27 a factor of 32565? False Is 11 a factor of 3710? False Is 325 a multiple of 13? True Is 12 a factor of 7536? True Is 5010 a multiple of 6? True Is 28 a factor of 8070? False Is 1438 even? True Is 2409 a multiple of 73? True Does 42 divide 68794? False Is 5568 a multiple of 7? False Is 7508 a multiple of 10? False Is 10 a factor of 179? False Is 139 a factor of 12232? True Is 2016 a multiple of 32? True Is 1682 a multiple of 21? False Does 77 divide 56506? False Is 21296 a multiple of 22? True Is 365 a factor of 74197? False Is 102 a multiple of 8? False Is 2 a factor of 14? True Is 10 a factor of 640? True Is 21 a factor of 1071? True Is 266 a multiple of 38? True Does 66 divide 178? False Is 4110 a multiple of 5? True Is 15 a factor of 120? True Is 8070 a multiple of 30? True Is 9 a factor of 226? False Is 18 a factor of 1394? False Does 136 divide 512? False Does 22 divide 22299? False Is 5423 a multiple of 11? True Is 17 a factor of 1456? False Is 7 a factor of 11734? False Is 184 a multiple of 4? True Does 14 divide 532? True Is 16 a factor of 15616? True Does 46 divide 966? True Is 30 a factor of 1890? True Is 31036 a multiple of 29? False Is 6375 a multiple of 18? False Is 409 a multiple of 80? False Is 68593 a multiple of 149? False Is 14 a factor of 448? True Is 1253 a multiple of 14? False Does 68 divide 15686? False Is 65286 a multiple of 54? True Does 51 divide 2945? False Is 81 a factor of 8586? True Does 14 divide 2166? False Does 11 divide 7527? False Does 2 divide 517? False Is 3 a factor of 1957? False Is 22 a factor of 7810? True Does 29 divide 10556? True Is 103 a factor of 11282? False Is 3 a factor of 179? False Does 24 divide 4955? False Is 218 even? True Is 18 a factor of 3171? False Does 18 divide 471? False Is 125 a factor of 10724? False Is 805 a multiple of 7? True Is 12 a factor of 14505? False Does 14 divide 1680? True Is 6528 a multiple of 12? True Does 197 divide 504? False Does 41 divide 43619? False Is 6413 a multiple of 36? False Is 6 a factor of 23896? False Does 32 divide 352? True Does 92 divide 2116? True Does 30 divide 4741? False Is 12 a factor of 28701? False Is 33 a factor of 132? True Is 1676 a multiple of 16? False Does 18 divide 622? False Does 53 divide 4929? True Does 24 divide 2256? True Does 9 divide 2659? False Is 13 a factor of 31804? False Is 18 a factor of 1908? True Is 501 a multiple of 36? False Is 69 a factor of 560? False Is 22 a factor of 66? True Is 1020 a multiple of 5? True Does 281 divide 71140? False Is 608 a multiple of 19? True Does 6 divide 3372? True Is 18 a factor of 10956? False Is 21 a factor of 3276? True Is 2 a factor of 3077? False Is 31 a factor of 4030? True Does 79 divide 3002? True Does 48 divide 16308? False Is 2 a factor of 315? False Is 11 a multiple of 5? False Is 22837 a multiple of 41? True Is 9990 a multiple of 135? True Is 15572 a multiple of 17? True Is 1320 a multiple of 88? True Is 1290 a multiple of 43? True Is 1033 a multiple of 32? False Does 89 divide 22606? True Is 19530 a multiple of 9? True Is 12 a factor of 794? False Is 71 a factor of 22720? True Does 11 divide 1991? True Is 16085 a multiple of 4? False Does 171 divide 14936? False Is 7975 a multiple of 13? False Is 35 a factor of 25760? True Is 573 a multiple of 11? False Is 29949 a multiple of 67? True Is 400 a multiple of 10? True Does 119 divide 119? True Is 13114 a multiple of 62? False Does 19 divide 8797? True Is 8 a factor of 5360? True Does 181 divide 3801? True Is 29 a factor of 39? False Is 638 a multiple of 6? False Is 60 a factor of 26340? True Is 12879 a multiple of 27? True Is 84082 a multiple of 17? True Does 4 divide 1991? False Does 15 divide 5070? True Is 21838 a multiple of 358? True Is 1923 a multiple of 52? False Does 65 divide 229? False Is 15 a factor of 2055? True Does 44 divide 27588? True Does 104 divide 1144? True Is 7439 a multiple of 8? False Is 22 a factor of 849? False Is 4478 a multiple of 16? False Is 12 a factor of 65748? True Is 24 a factor of 15384? True Is 53 a factor of 477? True Is 4 a factor of 197? False Is 22 a factor of 70643? False Is 22880 a multiple of 8? True Does 20 divide 712? False Is 6 a factor of 39614? False Does 3 divide 2001? True Is 23108 a multiple of 20? False Does 51 divide 1224? True Is 12 a factor of 10369? False Is 2 a factor of 420? True Is 4 a factor of 2712? True Is 638 a multiple of 8? False Does 46 divide 40204? True Does 35 divide 3920? True Is 5922 a multiple of 14? True Is 152 a factor of 13832? True Is 39 a factor of 86655? False Does 29 divide 13577? False Is 3 a factor of 105? True Is 395 a factor of 88638? False Does 37 divide 2886? True Is 8664 a multiple of 30? False Is 56 a factor of 1288? True Is 256 a factor of 7507? False Does 6 divide 5076? True Is 33 a factor of 1056? True Is 302 a multiple of 4? False Is 53 a factor of 2555? False Is 18 a factor of 225? False Is 432 a multiple of 15? False Does 27 divide 27? True Is 1556 a multiple of 13? False Is 239 a multiple of 7? False Is 364 a multiple of 13? True Is 23 a factor of 4347? True Is 36 a factor of 2520? True Is 35 a factor of 110? False Is 33 a factor of 594? True Does 88 divide 9328? True Is 64610 a multiple of 13? True Does 34 divide 2108? True Does 9 divide 3942? True Is 170 a factor of 9520? True Is 3007 a multiple of 16? False Is 1691 a multiple of 2? False Is 204 a multiple of 4? True Does 56 divide 726? False Is 168 a multiple of 12? True Does 13 divide 637? True Is 545 a multiple of 12? False Is 6647 a multiple of 15? False Is 23 a factor of 14513? True Is 31 a factor of 1333? True Is 1166 a multiple of 106? True Is 2 a factor of 133? False Is 9 a factor of 1683? True Is 5 a factor of 30? True Does 188 divide 9964? True Does 4 divide 606? False Is 433 a multiple of 48? False Does 139 divide 82427? True Does 134 divide 11616? False Is 26 a factor of 676? True Is 33 a factor of 363? True Is 18882 a multiple of 210? False Is 116 a factor of 4292? True Does 22 divide 2992? True Does 78 divide 5304? True Is 450 a multiple of 10? True Is 38 a factor of 340? False Does
{ "pile_set_name": "DM Mathematics" }
) + 7*q(f). -f Let n(t) = -1. Let c(l) = -2*l + 17. Give -c(r) - 4*n(r). 2*r - 13 Suppose -4*b + 17 = 2*p - 3, -3*b - 3*p = -12. Let w(k) = 8*k**2 + 1 + b + 8*k + 5. Let r(d) = d**2 - 3*d + 1 + 4*d + 0. What is 10*r(t) - w(t)? 2*t**2 + 2*t - 2 Suppose -5*p + 0*p = 5. Let f(d) = -3*d**2 + 0*d**3 + 3 + 4*d - d + 4*d**3. Let v(k) = 0 + k - 2*k - k**3 - 1 + k**2. Calculate p*f(s) - 3*v(s). -s**3 Let n(m) = m - 1. Let o(l) = -l**3 - 2*l**2 + 2*l + 2. Let j be o(-2). Let b be 11/((-33)/(-18)) - 5. Let x(t) = t - 3. What is b*x(f) + j*n(f)? -f - 1 Let h(c) = -c**2 - 5. Let k(t) = 3*t**2 + 3 - 8*t**2 + 8*t**2 - 2*t**2. What is -6*h(u) - 10*k(u)? -4*u**2 Let n(l) = 12*l**2 + 2*l + 3. Let y(r) = 12*r**2 + r + 2. Calculate 3*n(q) - 4*y(q). -12*q**2 + 2*q + 1 Let p(d) = 8*d**2 + 3*d + 3. Let q(i) = 7*i**2 + 2*i + 2. Calculate -2*p(s) + 3*q(s). 5*s**2 Let o(x) = -x**2 + x + 1. Let a(l) = -15*l**2 + 8*l + 4. Give a(s) - 6*o(s). -9*s**2 + 2*s - 2 Let o(c) = 9*c**2. Let p(b) = -b**2. What is 3*o(r) + 6*p(r)? 21*r**2 Suppose 0 = 5*b + 4*i + 4 + 5, 5*i = -2*b + 10. Let n(z) = 2*z - 4. Let r(j) = 6*j - 5. Let c(u) = u + 1. Let a(f) = -2*c(f) + r(f). Give b*n(y) + 3*a(y). 2*y - 1 Let l(y) = 4*y - 3. Let d be (-3 + 1)*(-2)/4. Let z(u) = -u + u - d + u. Suppose 2*n + 2 = -2*s - 0, -4*s = -5*n - 41. Calculate s*l(f) - 14*z(f). 2*f + 2 Let n(c) = 2*c + 6. Let y be ((-1)/(-2))/((-3)/(-36)). Suppose -2*b = 10 + y. Let g(o) = 1. Calculate b*g(d) + n(d). 2*d - 2 Let m(z) = 1 + 6*z + 7 + 2*z - 3. Let q(i) = 7*i + 4. What is 4*m(r) - 5*q(r)? -3*r Let u(h) = h**3 + 21*h**2 + 16*h - 11. Let r(t) = 4*t**2 + 3*t - 2. Determine -11*r(l) + 2*u(l). 2*l**3 - 2*l**2 - l Let j(p) = 40*p**3 + 5*p**2 + 7*p - 7. Let w(b) = -20*b**3 - 2*b**2 - 3*b + 3. Determine 3*j(d) + 7*w(d). -20*d**3 + d**2 Let j(b) = -b**3 - 6*b + 4. Let q(a) = a**3 + a - 1. Calculate j(z) + 4*q(z). 3*z**3 - 2*z Let b(i) = -6*i**3 + 15*i**2 + 10*i + 11. Let o(t) = -t**3 + 3*t**2 + 2*t + 2. Determine 2*b(v) - 11*o(v). -v**3 - 3*v**2 - 2*v Suppose -43*r = -40*r + 9. Let c(q) = 3*q**2 + 2*q. Let f(p) = -3*p**2 - 2*p. Calculate r*c(u) - 2*f(u). -3*u**2 - 2*u Let i be -5*1*(-14)/35. Let c(z) = -2*z**2 - i*z**3 - 2*z**2 + 2*z**2. Let u(g) = -6*g**3 - 7*g**2. Determine -7*c(y) + 2*u(y). 2*y**3 Suppose b - 19 = -6*q + q, -2*q + 26 = 5*b. Let n(l) = -3*l**2 - 3*l - 3. Let p(y) = -y**3 - 5*y**2 - 5*y - 5. What is q*p(m) - 5*n(m)? -3*m**3 Let x(t) = -5*t**2 - 8*t + 8. Let n(y) = y**2 + 4*y - 7. Let c(r) = 3*r**2 + 9*r - 14. Let z(l) = -3*c(l) + 5*n(l). Calculate -6*x(v) + 7*z(v). 2*v**2 - v + 1 Let q(g) = -g - 1. Let h(c) = 6*c + 5. Let l be -1*5 + 9 + -6. Give l*h(o) - 10*q(o). -2*o Let b(c) = c**3 + 5*c**2 + 5*c - 2. Let v be ((-2)/3)/(8/(-60)). Let s(p) = -p**3 - 6*p**2 - 6*p + 2. What is v*s(o) + 6*b(o)? o**3 - 2 Let p(s) = -7*s**2 + 9*s. Let c(f) = f**2 + f. Calculate 6*c(g) + p(g). -g**2 + 15*g Let y(b) = -b - 26. Let v(u) = -2*u - 39. What is -5*v(z) + 8*y(z)? 2*z - 13 Let m(t) = 8*t**3 + 4*t**2 + 17. Let k(d) = -4*d**3 - 2*d**2 - 8. Give -13*k(w) - 6*m(w). 4*w**3 + 2*w**2 + 2 Let x(b) = -2*b - 5. Let v(o) be the first derivative of o + 30. Calculate 6*v(q) + x(q). -2*q + 1 Let h(i) = -i + 1. Let p(a) = 6*a - 2. Let u be (-4)/(-14) - 61/(-7). Suppose 2*m = -m + u. Suppose 3*l - m*c = c + 4, -4*l = -4*c. Calculate l*h(w) - p(w). -2*w - 2 Suppose 5 = x - 11. Let c = x - 17. Let a(m) = -m - 1. Let l(o) = o. What is c*l(g) + a(g)? -2*g - 1 Let y(a) be the first derivative of a**4/4 + a**3/3 - a**2/2 - a + 7. Let c(g) = g**3 + 3*g**2 - 3*g - 6. Give -c(u) + 3*y(u). 2*u**3 + 3 Suppose 0 = 2*x + 3*o + 17, -5*x + 7*o - 3*o + 15 = 0. Let r(z) = -2*z**3 - 6*z**2 + 2. Let h(b) = -b**2. Determine x*r(w) + 5*h(w). 2*w**3 + w**2 - 2 Let l(o) = -2*o**2 + 2*o + 2. Suppose 4 = w - d, 6*w - w = -4*d + 2. Let a(x) = -8*x**2 + 9*x + 9. Calculate w*a(b) - 9*l(b). 2*b**2 Let f(p) = 7*p - 4. Let u(l) be the third derivative of -3*l**2 + 0*l - 1/24*l**4 + 0 + 1/6*l**3. Calculate f(o) + 6*u(o). o + 2 Let c(z) = -5*z. Let i(m) = -2*m. Let w(a) = 3*c(a) - 8*i(a). Let t(d) = -d - 1. Suppose 3*f - 3 = 4*h, -2*f + 2 = -h - 0. Give f*t(r) + 2*w(r). r - 1 Let f(d) = -3*d**2 + 7. Let a(k) = -11*k - k**2 + 2 + 11*k. Give 7*a(h) - 2*f(h). -h**2 Let s(k) = -14*k + 2. Let x(l) = 9*l - 1. Let t = 81 - 86. Let j be (3/2)/((-6)/32). Give j*x(y) + t*s(y). -2*y - 2 Let h = 1 - 10. Let w = 4 - 6. Let k(l) = -l. Let u(g) = g + 1. Let x(p) = w*k(p) - u(p). Let c(y) = 2*y - 2. Give h*x(f) + 4*c(f). -f + 1 Let r(c) = 1. Let l(n) = -2*n - 13. Give -l(t) - 4*r(t). 2*t + 9 Let b = 12 - 13. Let u(i) = -1. Let y(w) = -w + 2. Determine b*y(z) - 3*u(z). z + 1 Let y(k) = -11 + 11 + k. Let a(l) be the third derivative of l**3/3 - l**2. Suppose 2*q - 3 - 2 = -p, 2*p = -2*q + 4. Give p*a(o) - y(o). -o - 2 Let a(u) = -70*u**2. Let b(r) = -5*r**2. Let g(n) = -n**3 + 3*n**2 + 11*n - 1. Let i be g(5). What is i*a(y) - 55*b(y)? -5*y**2 Suppose 0*u + 15 = 3*u. Let w(y) = -u + 3 - 2 + y. Let g(d) = 2*d - 5. Give 2*g(b) - 3*w(b). b + 2 Let h(w) = -w - 1. Suppose -4*g = -12, 3*j - 5*g - 6 = -45. Let d(p) = -6*p - 8. Determine j*h(l) + d(l). 2*l Let u(s) = -s**3 + s**2 - 1. Let z(h) = -2*h**3 + h**2 - 1. Let o = 31 - 28. Give o*z(p) - 3*u(p). -3*p**3 Let i(z) = -2*z**2 + z + 2. Let k(l) = -3*l**2 - 5*l + 8. Let h(s) = -s + 1. Let n(p) = 6*h(p) - k(p). Determine -5*i(m) - 4*n(m). -2*m**2 - m - 2 Let r(b) = 8*b**3 - 6*b**2 + 6*b - 2. Let i(g) = -7*g**3 + 5*g**2 - 5*g + 1. Calculate -6*i(u) - 5*r(u). 2*u**3 + 4 Let f(z) = -3*z**2 - 4*z - 4. Let r(o) = o**2 + o + 1. Suppose 2*v + 21 = -5*n, -3*n - 3 = 4*v + 4. Suppose 0*a - 2*a = -v. What is a*f(m) + 4*r(m)? m**2 Let s be 1*(66/(-10) - (-6)/10). Let w(t) = 4*t - 4. Let r(i) = -11*i + 11. Calculate s*r(l) - 17*w(l). -2*l + 2 Let h = -10 - 4. Let o(l) = 21*l. Let k(d) = 7*d. Let y(x) = 11*k(x) - 4*o(x). Let v(m) = -20*m. Give h*y(s) + 5*v(s). -2*s Let r(b) = 2*b**3 - 7*b + 1. Let f(l) = -l**3 + 4*l - 1. Suppose -2*v - 3*v = 15. Let m = v - -8. Give m*f(w) + 3*r(w). w**3 - w - 2 Let q be (-16)/(-24) - 64/(-3). Let t(y) = 5*y**3 - 11*y**2 - 11*y + 11. Let m(w) = -w**3 + 2*w**2 + 2*w - 2. Calculate q*m(l) + 4*t(l). -2*l**3 Let n(u) = u + 1. Let v(w) = 4*w + 4. Let p(r) = 5*n(r) - v(r). Let l(m) = -8*m - 6. Calculate -l(c) - 6*p(c). 2*c Let m(t) = -4 - t**2 + 6*t**2 + 27*t - 21*t. Let v(h) = -h - 1. Let p(u) = -9*u**2 - 15*u + 3. Let k(c) = -p(c) + 4*v(c). Determine 6*k(w) - 11*m(w). -w**2 + 2 Let u(z) = z**3 - 5*z**2 - 9*z + 5. Let m(x) = -2*x**3 + 8*x**2 + 14*x - 8. Suppose -3*h = 4*g + 44, -4*g - 4*h = 18 + 30. Determine g*u(c) - 5*m(c). 2*c**3 + 2*c Let l(u) = -17*u**3 + 9*u. Let k(x) be the third derivative of -x**6/15 + x**4/6 - 10*x**2. Calculate -9*k(y) + 4*l(y). 4*y**3 Let g(b) = -3*b**3 - 5*b**2 + 3*b + 3. Let q(n) = 4*n**3 + 7*n**2 - 4*n - 4. Determine -7*g(w) - 5*q(w). w**3 - w - 1 Let j(f) = 6. Let n(c) = c + 3. What is -3*j(r) + 6*n(r)? 6*r Let c(n) = 2*n + 92. Let z(j) = 3*j + 138. Calculate -8*c(y) + 5*z(y). -y - 46 Let b(v) = -10*v**2 - 11*v. Let r(o) = 5*o**2 + 5*o. Let d(t) = 6*b(t) + 13*r(t). Let u(w) = -4*w**2 + w. Give 2*d(z) + 3*u(z). -2*z**2 + z Let h(q) = 9*q**2 - 5*q. Let z(t) = 26*t**2 - 14*t. What is 14*h(v) - 5*z(v)? -4*v**2 Let g(v) = v**3 + v**2 - 7*v + 6. Let d(h) = -h + 1. Let c(q) = -q + 7. Let r be c(7). Suppose -2*f - 7 = 5*k, r = -f - k - 3 + 1. Give f*g(b) + 6*d(b). -b**3 - b**2 + b Let g(k) = -2*k + 3. Let z(p) = -4*p + 7. Determine -9*g(l) + 4*z(l). 2*l + 1 Let y(m) = -3*m. Let u(f) = 8*f. Suppose -29 = -3*l - 4*s, -25 = -2*l - l - 2*s. Determine l*y(a) + 3*u(a). 3*a Let k(q) = -2 + 0 + 3 + q**2 + q. Let a(v) = 5*v**2 + 9*v + 6. Let s(y) = -5*y**2 - 8*y - 6. Let c(r) = -2*a(r) - 3*s(r). Let w = 3 - -3. Give w*k(j) - c(j). j**2 Let t(c) = 26*c - 3. Let j(g) = 391*g - 46. What is -3*j(l) + 46*t(l)? 23*l Let j(z) = -15*z**2 + 13*z - 9. Let r(k) = -7*k**2 + 6*k - 4. Calculate -4*j(i) + 9*r(i). -3*i**2 + 2*i Let t(g) = -8*g - 5. Let k(q) = 2*q + 1. Calculate 9*k(i) + 2*t(i). 2*i - 1 Let r(s) = 2*s**2 + 7*s. Let q(g) = g. Suppose -4*x + x + 3*v + 15 = 0, x = -v + 7. What is x*q(y) - r(y)? -2*y**2 - y Let z(y) = 2*y**2 + 2*y + 1. Let m(p) = -5*p**2 - 6*p - 3. Determine 3*m(b) + 8*z(b). b**2 - 2*b - 1 Let i =
{ "pile_set_name": "DM Mathematics" }
/2*o**2 + 873/2*o - 1269/2 = 0. 3, 47 Let f(c) be the second derivative of c**6/120 + 11*c**5/2 + 16133*c**4/16 - 55*c**3/3 - 6050*c**2 - 389*c - 3. Factor f(q). (q - 1)*(q + 1)*(q + 220)**2/4 Let r = -27723/4 + 6932. Let b(z) be the first derivative of -r*z**2 + 2*z + 27 - 1/4*z**3. What is y in b(y) = 0? -4, 2/3 Let n(m) be the third derivative of 1/240*m**6 + 0*m**3 + 275*m**2 + 1/280*m**7 + 0 + 1/12*m**4 + 0*m - 1/20*m**5 - 1/1344*m**8. Let n(x) = 0. What is x? -2, 0, 1, 2 Suppose 58365907*l**2 - 5199922*l**2 + l**4 + 3*l**4 + 37295937425*l + 25259*l**3 - 9327307625 = 0. What is l? -2105, 1/4 Let v(i) be the second derivative of 0 + 1/4*i**5 + 50*i + 65/12*i**4 + 175/6*i**3 - 245/2*i**2. Determine t so that v(t) = 0. -7, 1 Solve -261*i - 1047*i + 2604 + 397*i**2 - 394*i**2 = 0. 2, 434 Let s(d) be the second derivative of -3*d**2 - 1/2*d**3 + 1/4*d**4 - 2*d - 27. Factor s(u). 3*(u - 2)*(u + 1) Let t = 241 + -237. Factor 1005*f**3 + 810448*f - 12*f**t + 32856*f**2 + 5*f**4 + 11*f**4 + 7496644 - 413*f**3. 4*(f + 37)**4 Let i = -11 - -32. Solve 3*u**3 - i*u + 7*u**2 + 22*u - 4*u**2 + u**4 = 0. -1, 0 Let n be 1281/7 + (-2 - 1). Suppose -r = -5*r + n. Find g, given that -20*g**5 + 1467 + 5*g**2 - 30*g**3 - 1467 + r*g**4 = 0. 0, 1/4, 1 Factor 13263041 + 6*r**2 - 1100729 - 4*r**2 + 1313*r - 9306*r - 1871*r. 2*(r - 2466)**2 Let u(w) be the second derivative of w**5/70 + 29*w**4/42 + 164*w**3/21 + 220*w**2/7 - 646*w. Find m, given that u(m) = 0. -22, -5, -2 Let d = -62 - -33. Let x = d + 33. Let -10*c - 17 + 5*c**2 - 1 + 7 - x = 0. What is c? -1, 3 Let a(u) = -u**2 - 7*u + 3. Let t be a(-7). Let f(w) = -t*w - 6*w + 31 - w**2 - 36. Let x(v) = -6*v**2 - 64*v - 36. Let y(m) = 44*f(m) - 6*x(m). Factor y(z). -4*(z + 1)*(2*z + 1) Let j be -14*25/10*1. Let y = j + 35. Determine m so that 2*m + 22*m**2 + y*m - 18*m**2 + 2*m = 0. -1, 0 What is w in -10*w**4 + 330*w**2 + 55 - 155/2*w**3 - 595/2*w = 0? -11, 1/4, 1, 2 Let t(s) be the second derivative of 0*s**2 - 2 + 1/40*s**6 - 1/16*s**4 + 1/80*s**5 + 21*s - 1/12*s**3 + 1/168*s**7. Factor t(m). m*(m - 1)*(m + 1)**2*(m + 2)/4 Let s(u) be the first derivative of -5*u**6/6 - 434*u**5 - 119855*u**4/2 - 917960*u**3/3 + 732075*u**2/2 + 4160250*u - 12113. Let s(z) = 0. What is z? -215, -3, 2 Let y(d) be the first derivative of d**4/14 + 8*d**3/7 + 36*d**2/7 + 64*d/7 + 263. Factor y(w). 2*(w + 2)**2*(w + 8)/7 Determine z, given that 76/3*z - 8/3*z**2 + 80/3 - 4/3*z**3 = 0. -5, -1, 4 Factor -42483 - u**2 - 753*u + 39*u + 5*u**2 - 7*u**2 + 0*u**2. -3*(u + 119)**2 Let d(n) be the second derivative of -3*n**5/80 + 15*n**4/8 + 9*n**3/8 - 405*n**2/4 - 3*n + 1350. Factor d(l). -3*(l - 30)*(l - 3)*(l + 3)/4 Let g = 146798 - 146796. Factor 1/4*i**3 + 0 + 5/4*i**g + i. i*(i + 1)*(i + 4)/4 Let v(t) be the first derivative of 5*t**4/4 - 10*t**3 - 225*t**2/2 + 250*t - 9073. Factor v(n). 5*(n - 10)*(n - 1)*(n + 5) Suppose -20*i = -21*i + 4. Let g(l) = l**2 - 4*l + 3. Let q be g(i). Let -10 + 4*j**3 - 15*j**2 + 27*j + j**q + 5*j**4 - 52*j = 0. Calculate j. -1, 2 Let r = -8 + 15. Suppose -2*q = -5*a + 17, 2*a + 6*q - r = 7*q. Factor 4/17 + 8/17*g**2 - 2/17*g**a - 10/17*g. -2*(g - 2)*(g - 1)**2/17 Let g(i) be the second derivative of 4*i**2 + 0 - 1/3*i**3 + 139*i + 1/40*i**5 - 1/6*i**4. Suppose g(k) = 0. Calculate k. -2, 2, 4 Let n(b) be the second derivative of b**4/36 - 14*b**3/9 - 34*b**2 - 21*b - 3. Determine o, given that n(o) = 0. -6, 34 Let x(k) = -10*k**2 + 13. Let p(r) = -r**2 + 1. Suppose 3*f - 7*y + 2*y - 3 = 0, 0 = -3*f + 4*y. Let g(d) = f*x(d) + 36*p(d). What is b in g(b) = 0? -2, 2 Suppose -3*j + 68*m = 67*m - 20, 3*j = 2*m + 34. Factor -1/2*o**3 + 11/6*o + 1/6*o**j + 7/6. -(o + 1)**2*(3*o - 7)/6 Let s = -2/392815 - 287932807/115487610. Let t = 1/147 - s. Solve -7/6*u**4 - 1/6*u - 19/6*u**3 + 1/3 - t*u**2 = 0 for u. -1, 2/7 Let j(h) be the first derivative of h**4/12 + 200*h**3/9 + 66*h**2 + 310. Determine m, given that j(m) = 0. -198, -2, 0 Suppose -20*u + 35*u = 60. Let b(p) be the first derivative of -u*p**3 + 6*p**2 + 0*p + 3/4*p**4 + 16. Factor b(i). 3*i*(i - 2)**2 Let q(r) = -7*r**2 - 100*r + 529. Let y(d) = -66*d**2 - 899*d + 4758. Let g(i) = 19*q(i) - 2*y(i). Find l, given that g(l) = 0. -107, 5 Let y = -10183/21 - -3399/7. Factor 16/3 + y*d**3 - 2*d**2 - 4*d. 2*(d - 4)*(d - 1)*(d + 2)/3 Solve 624/5*j - 3/5*j**3 - 132 + 39/5*j**2 = 0 for j. -10, 1, 22 Let r = 1507/3 - 2249/6. Let b = -126 + r. Suppose -3*j**2 + 0 + b*j + 3/2*j**3 = 0. Calculate j. 0, 1 Let x(m) be the second derivative of 0 + 1/80*m**5 + 53/16*m**4 + 47*m + 6241/8*m**2 + 2133/8*m**3. Factor x(d). (d + 1)*(d + 79)**2/4 Find g such that g - 41*g**2 + 25*g**4 - 31*g**3 - 6*g**3 - 3*g**5 + 16 + 0*g + 5*g + 34*g**3 = 0. -1, -2/3, 1, 8 Let h be 8/6*(-33)/22*-2. Factor 3*a**2 + h*a**3 + 9*a - 8 - a**2 - 9*a + 6*a**2 - 4*a. 4*(a - 1)*(a + 1)*(a + 2) Let v = -2204 - -2204. Let s(i) be the first derivative of 0*i**2 + 8 + 4/3*i**3 + v*i + 1/2*i**4. Determine f so that s(f) = 0. -2, 0 Let o(x) be the third derivative of -27*x**8/392 - 30*x**7/49 - 517*x**6/420 + 10*x**5/7 - 3*x**4/7 + 164*x**2 - 2. Find g such that o(g) = 0. -3, 0, 2/9 Determine u so that 1060/9 - 526/9*u - 2/9*u**2 = 0. -265, 2 Let i(t) = 5*t**3 - 14*t**2 - 20*t + 40. Let h(o) = -55*o**3 + 155*o**2 + 220*o - 440. Let w be (70/(-21))/((-6)/81). Let s(l) = w*i(l) + 4*h(l). Factor s(z). 5*(z - 2)**2*(z + 2) Factor 1/4*s**4 - 1/4*s**3 - 65/4*s**2 + 0 + 225/4*s. s*(s - 5)**2*(s + 9)/4 Let k(t) be the second derivative of 2*t**7/21 - 106*t**6/15 + 199*t**5/5 - 49*t**4 - 245*t - 1. Determine l so that k(l) = 0. 0, 1, 3, 49 Let j = -5423/378 + 821/54. Factor 1/7*c**2 - 5/7*c + j. (c - 3)*(c - 2)/7 Factor 3*v**2 - 26*v**3 - 99 - 111 + 222 - 7*v**2 + 26*v - 8*v**2. -2*(v - 1)*(v + 1)*(13*v + 6) Let d(n) be the first derivative of -13/3*n**3 - 4*n + 3/2*n**4 - 1/5*n**5 + 40 + 6*n**2. Factor d(a). -(a - 2)**2*(a - 1)**2 Let h(m) be the first derivative of 2/5*m**5 - 2/3*m**3 - 6/5*m**4 - 1/10*m**2 + 0*m + 5/6*m**6 - 56. Solve h(p) = 0 for p. -1, -1/5, 0, 1 Let k(j) be the third derivative of j**7/504 - j**6/144 - j**5/4 - 79*j**4/24 + 38*j**2 + j. Let w(l) be the second derivative of k(l). Factor w(d). 5*(d - 3)*(d + 2) Let o(x) be the third derivative of x**6/60 - 4*x**5 + 279*x**4 + 15376*x**3/3 + x**2 - 104. Suppose o(v) = 0. Calculate v. -4, 62 Let j = 5139979/15 - 342661. Find g such that -2/3*g**3 + 0 + j*g**2 - 8/5*g = 0. 0, 2/5, 6 Let f(u) be the first derivative of u**5/75 + u**4/6 + 8*u**3/15 + 3*u**2/2 - u - 75. Let j(z) be the second derivative of f(z). Solve j(w) = 0. -4, -1 Let q(t) = -t**3 + 33*t**2 - 374*t + 782. Let z(r) = -4*r**3 + 95*r**2 - 1121*r + 2345. Let h(d) = 7*q(d) - 2*z(d). What is w in h(w) = 0? -49, 4 Let j(b) be the first derivative of b**7/168 + b**6/12 + b**5/8 - 25*b**4/12 - 10*b**3/3 + 97. Let x(u) be the third derivative of j(u). Factor x(h). 5*(h - 1)*(h + 2)*(h + 5) Let s(k) be the third derivative of -k**7/420 + 73*k**6/120 - 1871*k**5/40 + 5183*k**4/12 - 5041*k**3/3 + 2*k**2 - 43*k - 16. Factor s(q). -(q - 71)**2*(q - 2)**2/2 Let 6727*m**2 - 189*m**3 + 19 - 3*m**4 + 114*m + 75*m**3 - 6940*m**2 + 197 = 0. Calculate m. -36, -2, -1, 1 Suppose 0 = 13*y - 16*y + 15. Suppose 3*a - 915 - 310 = -y*d, 4*a - 1638 = -2*d. Factor 3*m**3 + 413*m**4 - a*m**4 + 0*m**3. 3*m**3*(m + 1) Let z(q) be the first derivative of q**7/84 + 5*q**6/24 - 3*q**5/8 - 5*q**4/3 - 2*q**3/3 + 22*q**2 + 259. Let c(h) be the third derivative of z(h). Factor c(l). 5*(l - 1)*(l + 8)*(2*l + 1) Let c(v) = -v**2 + 2264. Let w be c(0). Let d = w + -24888/11. Factor d*u + 0 - 2/11*u**2. -2*u*(u - 8)/11 Let x be ((-27)/(-4))/(5/20). Suppose p = 10 + x. Suppose p - 37 - 5*w**2 = 0. What is w? 0 Let v(w) = w**4 - w**3 + w - 1. Let j(n) = -5*n**4 + 217*n**3 + 14910*n**2 + 357694*n + 343006. Let k(g) = -j(g) - 6*v(g). Find l, given that k(l) = 0. -70, -1 Let q(s) = -2*s**2 - 35*s + 24. Let w be 3/(-3)*(-2 - (-18 - 2)). Let n be q(w). Factor -6 + 12 + 3*o**2 - 1 - n*o - 2. 3*(o - 1)**2 Let s(v) be the first derivative of v**4/2 - 8*v**3/3 - 128*v**2 + 1536*v + 244. Find o, given that s(o) = 0. -12, 8 Suppose -140*m = 155*m - 387*m + 223 + 53. Factor -3/2*w**m - 3/2*w + 3*w**2 + 0. -3*w*(w - 1)**2/2 Let 13*
{ "pile_set_name": "DM Mathematics" }
*-4 - -1*sqrt(143)*-5)/((sqrt(88)/(sqrt(10)/sqrt(5)))/(4*sqrt(12)/sqrt(3))))**2. 16848 Simplify (((sqrt(220) + sqrt(220) + sqrt(220)*1 + sqrt(220))/sqrt(10))/(3*2*sqrt(2)))**2 + 4 + -5*sqrt(176)*2 + 1. -40*sqrt(11) + 89/9 Simplify (sqrt(5184) + (sqrt(5184) - 2*(sqrt(5184) - -2*sqrt(5184))) - -1*sqrt(5184)*1)/(sqrt(108)/sqrt(36) + (sqrt(12) - (sqrt(12) - sqrt(24)/sqrt(2)))*-6). 72*sqrt(3)/11 Simplify -1*(-4 + ((4*(sqrt(77) + sqrt(77) + 3*sqrt(77) + sqrt(77)))/(sqrt(567)*-4 + sqrt(567)))**2 + -5). 25/81 Simplify (5*((sqrt(6171) + (sqrt(6171) + (-1*sqrt(6171) - sqrt(6171)) - sqrt(6171)) + sqrt(6171) + sqrt(6171) - sqrt(51)) + sqrt(51))*3)/(4*sqrt(432)*1*2). 55*sqrt(17)/32 Simplify ((1*sqrt(152)*-1 + ((sqrt(152) - (sqrt(152) + 4*sqrt(152)))*5 - sqrt(152)))/(6*2*sqrt(968)*1))**2. 19/36 Simplify (-1*sqrt(45)/((sqrt(108) + -2*sqrt(108))/sqrt(12)) + sqrt(10)/sqrt(32) + 2*sqrt(405))**2. 29645/16 Simplify (sqrt(14)/sqrt(98) + (sqrt(847))**2 + 0 - ((1 + sqrt(847) - sqrt(7)) + (sqrt(56)/sqrt(8) + -2 - sqrt(7)))) + -2. -69*sqrt(7)/7 + 846 Simplify 0 + (4*-2*sqrt(153)*-2*-3)/((-2*1*sqrt(81) + sqrt(81))/(-2*sqrt(900))). -960*sqrt(17) Simplify ((-1 + sqrt(288)*2 + 1 + sqrt(288) + -1)**2*-3 + 5*-1*1*sqrt(288)*-2)*5. -38895 + 1680*sqrt(2) Simplify -2*-6*(5 + (3 + 1 + sqrt(605) + -1)**2 + -5). 792*sqrt(5) + 7368 Simplify (((sqrt(306)/sqrt(9)*1 - sqrt(34)) + sqrt(34) - sqrt(1224)*5)/(-1*sqrt(242)*1 + (sqrt(242) - -1*sqrt(242))*3))**2. 14297/3025 Simplify (-3 + sqrt(243) + 4 + -2)**2 - ((sqrt(9)/sqrt(3) - sqrt(3))**2 + -1 + 1 + (sqrt(432))**2). -188 - 18*sqrt(3) Simplify (sqrt(12)/sqrt(32) + -2*sqrt(42)/sqrt(7))/(4*4*sqrt(2) - sqrt(20)/(sqrt(70)/sqrt(7) + sqrt(10))). -7*sqrt(3)/62 Simplify (2*sqrt(405) + 2)*4 + -3 + -3 + 1*sqrt(720). 2 + 84*sqrt(5) Simplify -5*(-5*1*sqrt(84) - sqrt(84)*-1*4)/(-6*(sqrt(108) - -3*sqrt(108))). -5*sqrt(7)/72 Simplify (-5 + sqrt(13) + 0)**2*1*5 + -3*((sqrt(1300)*-1)**2 + 2 + sqrt(208)) + -5. -3721 - 62*sqrt(13) Simplify (-2*-1*(sqrt(2) + -1 + -1))**2 - (sqrt(28)/sqrt(8))/(-3*sqrt(112)). -383*sqrt(2)/24 + 24 Simplify 2*(sqrt(3)*-1 - sqrt(3)) + -1 - (sqrt(3888) + 0)**2 - ((sqrt(27)*3*5)/(sqrt(27)/sqrt(12)))**2. -6589 - 4*sqrt(3) Simplify (-3*4*3*sqrt(847) + 3)**2 + (3*(0 + sqrt(252))*-2*3)**2. -2376*sqrt(7) + 1179369 Simplify (sqrt(121)*4*-5 - (sqrt(121) + -3*sqrt(121))*4)/(4*(4*sqrt(11) - sqrt(11)) + ((sqrt(77)*1 - sqrt(77)) + sqrt(77))/sqrt(7)). -12*sqrt(11)/13 Simplify -2*(1*(0 + sqrt(192)*-1)*2 + -1). 2 + 32*sqrt(3) Simplify (5*(sqrt(17) + 1 + sqrt(17)) - 2*sqrt(1377))*-6 - (2 + -5 + sqrt(17) - sqrt(51)/(sqrt(15)/sqrt(5)))**2. -39 + 48*sqrt(17) Simplify 0 + (sqrt(208)*-1)**2*-1 - (0 + (sqrt(208) - (sqrt(208)*-3)**2) + -5). -4*sqrt(13) + 1669 Simplify (sqrt(7260)*3 - (sqrt(720)*-3 + sqrt(720))/sqrt(12))/(-1*6*sqrt(192)*1). -35*sqrt(5)/24 Simplify (sqrt(4000)*1 - (sqrt(1960) + (sqrt(1960)*-1 - sqrt(1960) - sqrt(1960))))/(sqrt(288)*1 + sqrt(72)/(-1*sqrt(9))) + 0. 24*sqrt(5)/5 Simplify 1 + 6*(-4 + (-1*(sqrt(304) + 1) + sqrt(304) + -3 + (sqrt(304) - (sqrt(304) + 1)))**2)*-6. -755 Simplify -1*(sqrt(22)/(sqrt(176) - (sqrt(176) - (sqrt(176) - (4*sqrt(176) + sqrt(176))) - sqrt(176))) - ((sqrt(2) + -3)*1*-1)**2). -71*sqrt(2)/12 + 11 Simplify -1 + 2*(1*sqrt(2) - sqrt(2) - sqrt(2)) - (sqrt(16)/(sqrt(360)/sqrt(5)))**2 - (2*((-1*sqrt(2) - sqrt(2))*-6 - -1*sqrt(8)))**2. -14123/9 - 2*sqrt(2) Simplify -1*(0 + (sqrt(20)/((sqrt(90) - (sqrt(90) + (sqrt(90)*-2 - sqrt(90))))/sqrt(9)))**2) - (4*sqrt(288)*1*3 + -2). -144*sqrt(2) + 16/9 Simplify -4*((1 + (sqrt(2299)*-1 - sqrt(2299)) - sqrt(2299))*4 - ((1 + 1 + sqrt(684) - sqrt(684))**2 + sqrt(684) - ((-1 + sqrt(684))*-2 + sqrt(684))**2)). -2752 + 648*sqrt(19) Simplify 4*(0 + (sqrt(448) - ((sqrt(448)*3)**2 + -5)) + (-6*(1*sqrt(77) + sqrt(77)) - sqrt(77))/(sqrt(11) - sqrt(891)*1)). -16108 + 77*sqrt(7)/2 Simplify (-5 + (sqrt(500) + -4*1*sqrt(500) + sqrt(500))*5 - (-5 + sqrt(500) + -1 - sqrt(500) - -5*(sqrt(500) + sqrt(500)*1 + sqrt(500))))**2. -500*sqrt(5) + 312501 Simplify (-2 + -2*(sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99) + -1*sqrt(99) + sqrt(99))*-1) + -4*(sqrt(99) + -1) + -2)**2 + -1. 14255 Simplify -3*-1*sqrt(1200) - ((sqrt(15)/sqrt(180) + -4)*2)**2. -193/3 + 196*sqrt(3)/3 Simplify (sqrt(152)/(sqrt(128)*6) - 6*sqrt(57)/sqrt(12))**2 - ((5*sqrt(190)*4)/(sqrt(30)/sqrt(48)))**2. -69945821/576 Simplify ((sqrt(209) + sqrt(209) + -2*(sqrt(209) + 2*sqrt(209)))/((sqrt(77)*1)/sqrt(7)) - (1 + sqrt(1216) + 4)*6)**2 + -2. 3120*sqrt(19) + 52274 Simplify ((sqrt(567)/sqrt(225) - sqrt(63)) + (sqrt(567) + -3*sqrt(567) + sqrt(567))/sqrt(9))/((-2*sqrt(99))/sqrt(11) - (sqrt(9)*3*-4 + sqrt(9))). -sqrt(7)/5 Simplify (sqrt(6) + sqrt(540)/sqrt(10))/(sqrt(363)*-1) - (1 + (sqrt(2) + -1)**2 + (sqrt(2) - sqrt(96)/sqrt(3)))*-5. -279*sqrt(2)/11 + 20 Simplify (4*((4*sqrt(35)*1 - sqrt(35) - sqrt(35))*-2)/(sqrt(50)/(-1*sqrt(10)*1)))**2. 1792 Simplify 4*(sqrt(1701)*1*-4)/(6*(sqrt(3) + (sqrt(96)/sqrt(4))/sqrt(8)))*6. -72*sqrt(7) Simplify (-6*-6*(sqrt(190)*1 - sqrt(190)))/(sqrt(1000) - (sqrt(1000) + (sqrt(1000) + sqrt(1000)*3)*2 + sqrt(1000)) - sqrt(1000))*-2. 0 Simplify -5 + ((-4*(-1 + sqrt(405)) + -4)**2 - ((-3*-1*sqrt(315))/(1*sqrt(448)))**2). 413995/64 Simplify (sqrt(500) + -2 + sqrt(500) - sqrt(500) - sqrt(5) - (sqrt(5) + sqrt(80)*-2)**2)*1 + (sqrt(30)/sqrt(3)*-3)/(sqrt(6)/sqrt(3)*-6). -247 + 19*sqrt(5)/2 Simplify (((3 + 4*sqrt(112) + sqrt(112) + -4 - ((sqrt(112) + 1)*-4 + -5)) + 3)*3)**2. 7128*sqrt(7) + 82737 Simplify (-2 + sqrt(108) + sqrt(108) + 1 - -3*(2 + sqrt(108)) - ((sqrt(108) - (sqrt(108) + -5*sqrt(108)))*-4 - 3*(4*sqrt(108) - sqrt(108))))**2. 2040*sqrt(3) + 124873 Simplify -2*((sqrt(243) + sqrt(243) + sqrt(243)*-2 + 3 - (-6*sqrt(243) + 2))*-4)**2. -279968 - 3456*sqrt(3) Simplify -1*(-3 + (-4 + sqrt(26)/sqrt(2) + 1 + (sqrt(13) - (sqrt(39)/sqrt(3) - sqrt(13))) - -4*sqrt(637)*6))**2. -375736 + 2040*sqrt(13) Simplify -3*(2*(sqrt(1053) + sqrt(1053) + -1) + (sqrt(1053) + 1)*4 + 4 - (0 + -1*sqrt(1053) + sqrt(1053) + (sqrt(1053) + -1)*-3)*-3)**2. -3834 + 810*sqrt(13) Simplify -1*-6*sqrt(78)/(sqrt(6) - 2*sqrt(600)) + (-2*sqrt(117)*-1)/(sqrt(441) + sqrt(441)*1) + 0. -23*sqrt(13)/133 Simplify (sqrt(7) + sqrt(35)/sqrt(5))*4 + -3 + sqrt(252) - -5*(-1 + sqrt(7) + -2)*5. -78 + 39*sqrt(7) Simplify 2 + 0 + (4 + (5 + -2*(sqrt(112)*2 - sqrt(112)))**2)*2. -160*sqrt(7) + 956 Simplify (1*(sqrt(1100)*-2)**2 - (1*(sqrt(1100) + sqrt(1100) + (4*sqrt(1100) - sqrt(1100))**2) - sqrt(1100))) + 0 + -6*(sqrt(1100)*-1)**2*2. -18700 - 10*sqrt(11) Simplify (1*(sqrt(378) + -1*sqrt(378))*4)/(sqrt(600) - (sqrt(600) - (sqrt(600) - -6*(-1*sqrt(600) + sqrt(600) - sqrt(600)))) - 5*1*sqrt(600)). 0 Simplify (-2*(sqrt(2673) - (sqrt(2673) + sqrt(2673)*-1 + sqrt(2673)))*5)/(-2*sqrt(44) + (sqrt(11)*3 + sqrt(11))*5). 0 Simplify ((sqrt(255)/(sqrt(270)/sqrt(6))*-6)/(-6*3*(sqrt(363) - sqrt(363)*1 - sqrt(363))) + -3)**2. 2*sqrt(17)/33 + 88226/9801 Simplify -3*(-4*(sqrt(539) + -1 + 4 + 3 + -6*(sqrt(539) + 0)*-4))**2. -16171728 - 100800*sqrt(11) Simplify (-1 + sqrt(7) + -3)**2 + 2*sqrt(343) - (-6*(1 + sqrt(7)*3)*-5)**2. -57577 - 5394*sqrt(7) Simplify (sqrt(182)/((3*sqrt(77))/sqrt(11)))/(3*(sqrt(98) - (sqrt(98) - ((sqrt(98) - (sqrt(98) - (sqrt(98) - sqrt(98)*5 - sqrt(98)))) + sqrt(98))))). -sqrt(13)/252 Simplify 5 + 2*((sqrt(208) + (0 + sqrt(208))*-5)**2 + ((sqrt(208) + (sqrt(208) - 1*sqrt(208)*-6))*-4)**2). 432645 Simplify (sqrt(1452)*2*2 + (sqrt(1452) - 6*sqrt(1452)*-1))/(1*sqrt(384)*2*3). 121*sqrt(2)/48 Simplify (sqrt(49)/(sqrt(7)*-2 - sqrt(7)) + (sqrt(21) + -1*sqrt(21))/sqrt(3) + 0 + sqrt(35)/sqrt(5) + 1 + sqrt(14)/sqrt(2))**2. 10*sqrt(7)/3 + 184/9 Simplify -5 + (((1*sqrt(245)*4 + sqrt(245))*-2 - (4 + sqrt(245) + -2 + 3)) + -2)**2. 1078*sqrt(5) + 29689 Simplify (-3*(sqrt(228)*-1 - sqrt(228)) - -3*sqrt(228)*-2)/((sqrt(768) + 2*sqrt(768))*-1) + 2. 2 Simplify 1*(((sqrt(2304)*5 + sqrt(2304))*-2)/(sqrt(128)*1*-5))**2. 2592/25 Simplify (-2*((sqrt(75) - 1*sqrt(75))*2 + sqrt(75))/sqrt(5))/(sqrt(80)/sqrt(4) + sqrt(1215)/sqrt(3)). -2*sqrt(3)/11 Simplify -4*(sqrt(190) + 5*((-1*sqrt(190) - sqrt(190)) + sqrt(190)))/sqrt(10) + (-4 + 3 + sqrt(931))**2*-5. -4660 + 86*sqrt(19) Simplify 3*(-2*(sqrt(85) - -1*sqrt(85)*-3))/(-3*sqrt(20)*3). -2*sqrt(17)/3 Simplify (sqrt(1100) + sqrt(1100) + 0
{ "pile_set_name": "DM Mathematics" }
t d(l) = l - 1. Let t(b) = -3*d(b) + g(b). Let p(z) = -5*t(z) - 3*u(z). What is the units digit of p(6)? 7 Let t(j) = 2*j**2 - 2*j + 3. What is the tens digit of t(3)? 1 What is the tens digit of 44 - (3 + -7 - -8)? 4 What is the units digit of ((-42)/(-18))/(1/6)? 4 Suppose 16 - 48 = 4*l. Let i = -3 - l. What is the units digit of i? 5 Suppose 3*i - 3*s = 585, -5*i + s + 845 = -114. What is the hundreds digit of i? 1 Let p = 2 - -2. Suppose p*l = l. Suppose m + 0*u - u - 8 = l, -2*m - u = -7. What is the units digit of m? 5 Let o = 110 - 50. Let g = o + -36. What is the tens digit of g? 2 Let t = 170 - 73. What is the units digit of t? 7 What is the tens digit of 48 + 0*(-3)/3? 4 Suppose 9*x - 14*x = -215. What is the tens digit of x? 4 Let h(b) be the first derivative of 4*b**3/3 + b**2 - b + 1. What is the tens digit of h(-2)? 1 Suppose -58*i - 60 = -60*i. What is the units digit of i? 0 Suppose 0 = -5*a + 371 + 144. What is the hundreds digit of a? 1 Let u = -13 + 19. Suppose 2*b - 2 = 2*s + 2, 5*s + 16 = 3*b. Let y = u - s. What is the units digit of y? 1 Let i be 130/(-15) - 2/(-3). Let o = i - -13. Suppose 0 = -3*y + 2*t + o, 0 = 5*y - 2*t + t - 20. What is the units digit of y? 5 Let i(f) = 4*f**3 - 5*f**2 + f + 7. What is the hundreds digit of i(4)? 1 Let a(d) = 69*d**2 + d. What is the units digit of a(1)? 0 Let v be (1 - 0)/(1/5). Suppose -v*h + 13 = -7. What is the units digit of h? 4 Let c(y) = -187*y**3 - 2*y - 1. What is the hundreds digit of c(-1)? 1 Let n(i) = -i**2 + 23*i + 24. What is the units digit of n(12)? 6 Let l = -6 - -7. Let c = l - -16. What is the units digit of c? 7 Let w(r) = r**3 + r + 1. Let h(t) = 5*t**3 - 3*t**2 + 10*t + 2. Let n(k) = -h(k) + 6*w(k). What is the tens digit of n(3)? 4 Let c be ((-2)/(-6))/((-5)/(-255)). Let x = -2 + c. What is the tens digit of x? 1 What is the tens digit of ((-3)/9)/(5/(-285))? 1 Let b(j) = j**2 + 5*j + 4. Let s be b(-5). Suppose s*h + 2 = 3*h. What is the units digit of ((-12)/10)/h*5? 3 Suppose 5*g - h - 19 = 0, 2*h + 8 = -0. Suppose g*b = 4 - 1. What is the units digit of -1 - (b + -6 + -1)? 5 Let t be 168/2 + 6/(-2). Suppose 3*o - 3*q - t = 0, 3*q + 5 = 2*q. What is the tens digit of o? 2 Suppose 2*l + 3*c + 9 = 28, 2*l - 5*c - 27 = 0. Suppose 0 = 4*r - 35 + l. What is the units digit of r? 6 Let q(u) = 116*u**2. Let h be q(1). Suppose 0 = 7*l - 3*l - h. What is the units digit of l? 9 Let u = 654 + -435. Suppose 4*v - v - u = 0. Suppose -12 - v = -5*t. What is the units digit of t? 7 Let m(o) = -11*o + 6. What is the tens digit of m(-4)? 5 Let g(t) = 2*t - 4. Let f be g(3). What is the units digit of (-51)/(-6)*f*1? 7 Let i(n) = 3*n - 8. Let d(y) = -y + 3. Let v(j) = -8*d(j) - 3*i(j). What is the units digit of v(-1)? 1 Let h be ((-24)/14)/(16/(-392)). Suppose 2*d - 4 = h. What is the units digit of d? 3 Let p(v) = -v**2 - 8*v + 4. Let k be p(-8). Suppose -3*u + 100 = 2*u + 5*h, k*u - 86 = -2*h. What is the tens digit of u? 2 Let n(v) = -v**3 - v - 4. Let s be n(0). Let i(c) = 6*c + 4. Let k be i(s). What is the units digit of (k/(-1))/2 + -1? 9 Suppose 0 = -s + 5*z - 0*z + 2, 4*s - 3*z = 8. Suppose 3*y - 53 = -s. What is the tens digit of y? 1 Let p(m) = 8*m**2 - 2*m - 1. Let g be p(-3). Suppose -5*w - 61 = -5*o + 4*o, 0 = -2*o + w + g. What is the units digit of o? 6 Suppose -3*p - 2*r - 49 = -11, -32 = 4*p - 2*r. Let u = 17 + p. What is the units digit of u? 7 Let f(k) = -k + 2. Let d be f(0). Suppose -d*p = 3*w - p - 17, -3*w = -5*p - 41. Suppose 0 = 4*j + 2*a - w*a + 1, -4*j + 5 = a. What is the units digit of j? 1 Suppose 3*b + 2*b - 15 = 0. Let y be b*5*10/15. Suppose 4*t = 3*u - 0*t - y, -5*t = -4*u + 15. What is the units digit of u? 0 Suppose h + 3*r = 124, h - 126 = -4*r - 0*r. Suppose 4*n = 4*y - y - 82, -4*y = -n - h. What is the tens digit of y? 3 Let d = 6 + -4. Suppose 5*p - 163 = 3*k, 0 = d*k + 2*p - p + 113. What is the tens digit of (-2)/10 + k/(-5)? 1 Let m = 10 - 7. Suppose -1 = 4*p + m*x, -29 + 9 = -4*p + 4*x. What is the units digit of p? 2 Let r be (-1)/((-102)/(-105) - 1). Suppose 1 + r = -3*o. What is the tens digit of (-32)/o*15/4? 1 Suppose 0 = -3*y - 4 + 64. Suppose -2*u = -4*u + y. What is the units digit of u? 0 Suppose 4*m + 3*v = 4*v + 16, 5*v = 0. What is the units digit of m? 4 Suppose 0 = -5*i + 333 - 98. What is the units digit of i? 7 Suppose 2*d = -2*d + 4. Let w = d + 10. What is the units digit of w? 1 Suppose 4*y + 2*k - 5*k = 41, -2*k - 9 = -y. Let f = 3 - y. Let t = f + 13. What is the units digit of t? 5 Let w(y) = -y**2 + 14*y + 5. Let s be w(13). Let r be (1/(-3))/(2/s). Let z = r - -7. What is the units digit of z? 4 Suppose 4*k - 22 = 94. Suppose 2*x = -7*y + 4*y + k, -5*y - 85 = -5*x. Let q = x - 8. What is the units digit of q? 8 Suppose -3*s + 4*z + 20 = 0, z + 0 = 3*s - 5. Let n be 0/(-2 - s/(-3)). Suppose 4*u - 3*b = 20, 0 = -3*u - n*b + 5*b + 26. What is the units digit of u? 2 Suppose 5*i = 2*i + 96. Suppose d - 3*d + i = 0. What is the tens digit of d? 1 Let w be 22/4 + (-2)/4. Suppose -z = -4*r - 26, 5*r - w*z + 43 = 3. Let y = 7 + r. What is the units digit of y? 1 Let a(t) = -t**2 + 3*t + 3. Let v be a(3). Let s(j) = -j**2 + 5*j - 2. What is the units digit of s(v)? 4 Let a be (-4)/6 - 8/(-3). Let j = 22 - 1. Suppose -v + j = a*v. What is the units digit of v? 7 Suppose 5*k = -19 - 1. Let j(f) = -f**3 + 10*f**2 - 8. Let m be j(10). Let l = k - m. What is the units digit of l? 4 Suppose 0 = -3*v - 0*v + 6. Suppose p = -4*t + 15, -p + 2*t = -13 - v. What is the tens digit of p? 1 Suppose 0 = -5*p + 3*p + 24. Let b = p - -8. What is the units digit of b? 0 Suppose -w = -6*w + 1020. What is the hundreds digit of w? 2 Let v(c) be the second derivative of c**3/6 - c**2 - 2*c. What is the units digit of v(6)? 4 Suppose -2*x = 5*x - 987. What is the units digit of x? 1 Suppose x = -4*u - 10, 0 = -6*x + x + 3*u - 27. What is the units digit of -1 - 33/x*4? 1 Suppose -3*l + p + 44 = -3*p, 5*l - 82 = -2*p. Suppose 3*i = i - l. Let u(o) = -o**2 - 10*o - 3. What is the tens digit of u(i)? 1 Let m be (-70)/(-22) + 4/(-22). Let i = m - 0. What is the units digit of i? 3 Suppose -11*n + 443 + 1141 = 0. What is the hundreds digit of n? 1 Let l = 31 - 29. What is the units digit of l? 2 Let g = 255 - 180. What is the tens digit of g? 7 Let q be (-4)/(-18) + 2736/81. Let v = q - 6. What is the units digit of v? 8 Let f = 19 + -17. Suppose 0 = 5*q - 5*m - 35, f*q + 5*m - 2 = m. What is the units digit of q? 5 Let d(f) = 6*f**2 + 10*f - 3. What is the tens digit of d(-5)? 9 Suppose 0*b = b - 27. Let j = b + -13. What is the units digit of j? 4 Suppose -4*f - 1342 = -15*f. What is the units digit of f? 2 Let p(h) = -h**2 - 39*h - 65. What is the hundreds digit of p(-27)? 2 Let y(x) = -4*x. Let m be y(-1). Suppose -5*t - m = -29. What is the units digit of t/10 + (-2)/(-4)? 1 Let h(m) = -3*m + 17. Let y be h(12). Let w = -2 - y. What is the tens digit of w? 1 Suppose -h - 4*h + z + 1183 = 0, 4*z = h - 229. What is the hundreds digit of h? 2 Let n = -10 + 1. Let q = -6 - n. Let x(a) = a**3 - a**2 - 2*a + 3. What is the tens digit of x(q)? 1 Suppose -5*v = 2 + 48. Let y = -6 - v. Suppose y*c - 2 = 22. What is the units digit of c? 6 Let i be 1/2*(-10 - -6). What is the tens digit of ((-1)/i)/((-5)/(-120))? 1 Suppose -40 - 35 = -5*m. Suppose 9 = 3*q - m. What is the units digit of q? 8 Suppose 2*q = -2*n + 4*n - 14, -43 = 4*q + n. What is the units digit of q/(0 + (-3)/12)? 0 Suppose 5*t = -n + 323, 3*n + 4 = 3*t + 883. What is the hundreds digit of n? 2 Suppose 4*y + 2*r = 248, 2 = 2*r - 2. What is the units digit of y? 1 Let u = -1 + -3. Let q = u - -11. What is the units digit of q? 7 Let a = -8 + 12. Let b be (a + -3)/(1/5). Suppose 0 = -5*s - w + 47, 2*w + 24 = 2*s + b*w. What is the units digit of s? 9 Suppose 2*u + 2*t = 154, -3*u + 8*u = -t + 373. What is the tens digit of u? 7 Let m be 2/(-7) + 44/7. Suppose -m*i = -3*i - 90. What is the tens digit of i? 3 Suppose 0*y - 4*w = 4*y - 84, 0 = 5*w. What is the units digit of y? 1 Let s be (8/16)/((-2)/(-128)). Suppose -4*f = s + 116. Let x = -22 - f. What is the units digit of x? 5 What is the units digit of 2*-1 - (-26 + -1)? 5 Let i(w) = w**3 + 5*w**2 - 6*w + 7. Suppose -2*b
{ "pile_set_name": "DM Mathematics" }