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24 + 7*w**2. Let y(b) = 2*b. What is y(o(x))? -2*x Let q(u) = -24*u - 1. Let h(f) = 10*f. Give h(q(b)). -240*b - 10 Let r(m) = 0*m + 5*m - 6 + 9. Let i(d) = -4*d - 2. Let q(n) = 3*i(n) + 2*r(n). Let k(a) = a + 4*a - 4*a. Give q(k(z)). -2*z Suppose 0*n - 2*n + 18 = 0. Let y(x) = x + n*x - x. Let t(q) = -2*q**2. What is y(t(w))? -18*w**2 Let q(v) = -2*v**2 - 54. Let j(m) = 2*m**2. Calculate j(q(r)). 8*r**4 + 432*r**2 + 5832 Let u(r) = -1075*r**2. Let q(l) = -2*l**2. Give u(q(h)). -4300*h**4 Let o(v) = v**2. Let x = -6 - -10. Let q(l) = x*l - 7*l - 2*l. Calculate q(o(s)). -5*s**2 Let p(m) = -21*m**2. Let k(z) be the second derivative of z**3/6 - 4*z. Determine p(k(f)). -21*f**2 Let x(v) be the second derivative of -v**4/12 + v. Let g(j) = -j + 6. Let q be g(-5). Let y(l) = -3*l - 11 + q. What is x(y(d))? -9*d**2 Let c(u) = -3*u**2 - 2. Let d(i) = 25*i**2 + 17. Let t(x) = -51*c(x) - 6*d(x). Let j(f) be the third derivative of -f**4/12 - 2*f**2. Determine j(t(l)). -6*l**2 Let n(x) = -4*x - x + 4*x - x. Let y(r) = 7*r. Give y(n(k)). -14*k Let g(y) = -2*y. Let s(c) = -490*c. Let j(w) = -41*w. Let o(n) = -49*j(n) + 4*s(n). What is o(g(d))? -98*d Let l(c) = c**2. Let w(t) be the first derivative of t + 2 + t**2 - 1 - t. Give l(w(z)). 4*z**2 Let h(i) = 0*i + 0*i + 3*i. Let a(g) be the third derivative of g**6/720 - g**4/24 - 2*g**2. Let n(o) be the second derivative of a(o). Give n(h(r)). 3*r Let m(c) be the third derivative of -c**4/24 - 23*c**2. Let x(k) = 6*k**2 + k**2 + 3*k**2 - 2*k**2. Determine m(x(f)). -8*f**2 Let y(o) = 59*o. Let t(v) be the second derivative of -v**4/6 + 10*v. What is t(y(m))? -6962*m**2 Let v(u) = -2*u**2. Let d(j) = 2 - 2 - 9*j**2 - 20*j**2. What is d(v(t))? -116*t**4 Let s(r) = 2*r**2 - 78. Let a(z) = 3*z. Calculate s(a(y)). 18*y**2 - 78 Let t(d) = 407*d**2. Let k(u) = -2*u. Calculate k(t(j)). -814*j**2 Let b(s) = -7*s - 34. Let o(c) = -30*c**2. Give o(b(h)). -1470*h**2 - 14280*h - 34680 Let u(o) = 1316*o. Let y(m) = -7*m**2. Calculate y(u(w)). -12122992*w**2 Let j(g) = -26*g**2. Let n(t) = 5*t + t - 14*t + 9*t. Calculate j(n(m)). -26*m**2 Let o(h) = -2*h**2 - 32*h. Let i(j) = 20*j. Determine i(o(s)). -40*s**2 - 640*s Let f = 1 + 3. Let b(a) = 5*a + 4. Let h(w) = -5*w - 3. Let k(j) = f*h(j) + 3*b(j). Let y(i) = -2*i. What is k(y(n))? 10*n Let y(i) = -i**2 + 10*i - 15. Let l be y(7). Let v(h) = -6*h**2 + l*h**2 + h**2. Let q(p) = 6*p. Calculate v(q(d)). 36*d**2 Let t(h) = -2*h. Let s = -35 + 55. Let a(v) = 2*v**2 - 20*v + s*v. Determine a(t(k)). 8*k**2 Let d = -335/12 + 28. Let f(r) be the second derivative of 0*r**2 - d*r**4 + 0*r**3 + 0 + 3*r. Let y(v) = -2*v**2. What is f(y(a))? -4*a**4 Let a(i) = -i - 64. Let p(y) = -3*y. Give p(a(r)). 3*r + 192 Let j(i) = 62*i - 62*i - 4*i**2 + 2*i**2. Let g(y) = -2*y + 1. Let s(l) = 1. Let o(w) = g(w) - s(w). Calculate o(j(v)). 4*v**2 Let s(d) = 8*d**2. Let a(g) = -5*g**2 + 4580*g - 4580*g. Calculate s(a(z)). 200*z**4 Let b(p) = 4*p**2. Suppose 2*v + 19 = -3*d, 3*v = -3*d - 5 - 10. Let f be (-16)/d - (-4)/18. Let o(z) = -8*z + 8*z - z**f. Determine b(o(r)). 4*r**4 Let u(m) = 4*m. Let a(t) = 938*t. Determine a(u(g)). 3752*g Let g(p) = -3*p**2. Let u(r) = -4441*r**2. Give g(u(v)). -59167443*v**4 Let f(u) = 6*u. Let z(n) = -3*n**2 + 4*n. Let b(l) = 2*l**2 - 3*l. Let p(o) = 4*b(o) + 3*z(o). Give p(f(m)). -36*m**2 Let g(k) = 5*k. Let f(z) be the third derivative of 2*z**2 + 0*z + 0 + 0*z**3 + 1/12*z**4. Give g(f(n)). 10*n Let x(g) = -49*g**2 + 7. Let w(z) = -4*z**2. What is w(x(p))? -9604*p**4 + 2744*p**2 - 196 Let i(q) = 234*q**2. Let h(f) = -2*f**2. Determine h(i(w)). -109512*w**4 Let l(b) = -2*b**2 - 6*b + 6. Let t(j) = -j + 1. Let g(n) = -l(n) + 6*t(n). Let h(y) = 3*y**2 + y. Let s(x) = x. Let c(k) = h(k) - s(k). Give c(g(f)). 12*f**4 Let m(o) = o**2. Let z(t) = 6*t**2. Let b(u) = 4*m(u) - z(u). Let c(v) = 36*v**2. Give c(b(k)). 144*k**4 Let c = -7 + 12. Let y(s) = s - c*s + 6*s. Let p(n) = -22*n + 22*n + 2*n**2. Determine y(p(q)). 4*q**2 Let y(w) = -3*w**2. Let u(j) = -3*j**2 + 9*j. Determine u(y(x)). -27*x**4 - 27*x**2 Let c(a) = 15*a - 5. Let d(s) = s**2. Give c(d(t)). 15*t**2 - 5 Let g(c) = 3*c - 5. Let p(n) = -3*n + 6. Let b(w) = -6*g(w) - 5*p(w). Let h(d) = 4*d. Calculate h(b(j)). -12*j Let s(j) = 165*j. Let u(o) = 3*o**2. Calculate u(s(m)). 81675*m**2 Suppose -3*d = -0*d. Let t(s) = s + s + d*s. Let u(g) = -6*g. Calculate u(t(y)). -12*y Let f(g) = -4*g + 385. Let q(l) = -2*l**2. Give q(f(c)). -32*c**2 + 6160*c - 296450 Let m(w) be the second derivative of w**4/12 + 3*w**3/2 - 15*w**2/2 - w. Let a be m(-11). Let z(h) = -a + 2*h**2 + 7. Let x(g) = -6*g. Determine z(x(u)). 72*u**2 Let l(c) be the third derivative of 0 + 1/30*c**5 + 0*c**4 + c**2 + 0*c + 0*c**3. Let s(d) = -2*d. Calculate l(s(g)). 8*g**2 Let p(i) be the first derivative of 0*i**2 + 1/3*i**3 + 4 + 0*i. Let r(l) be the second derivative of -l**3/6 + 3*l. What is r(p(z))? -z**2 Let z(d) = d**2 - d + 1. Let l(x) = -82*x**2 - 6*x + 6. Let n(m) = l(m) - 6*z(m). Let q(w) = -2*w. What is q(n(t))? 176*t**2 Let x(d) be the second derivative of d**3/3 - 12*d. Let i(h) = 15*h**2 - 1. What is i(x(y))? 60*y**2 - 1 Let x(l) = 4*l**2. Let g(s) = -450*s**2. What is x(g(t))? 810000*t**4 Let y(j) = j - j - 9*j + j. Let o(r) = -r**2 - r. Let v(c) = 8*o(c) - y(c). Let a(t) = t. What is a(v(u))? -8*u**2 Let s(t) be the second derivative of -t + 0*t**2 - 2/3*t**3 + 0. Let n(r) = 70 - r - 70. Give s(n(f)). 4*f Let n(c) = -36*c**2. Let x(f) = 20*f**2. Determine n(x(h)). -14400*h**4 Let l(x) = -2*x. Let g(v) = 56*v**2 - 4*v - 6. Let r(y) = 55*y**2 - 3*y - 5. Let k(c) = -5*g(c) + 6*r(c). Give l(k(o)). -100*o**2 - 4*o Let v(c) = -18*c**2 + 12 + 14 - 26. Let o(t) = -t. What is o(v(a))? 18*a**2 Let y(d) = -d - 1. Let o(v) = -v - 2. Let z(t) = 3*o(t) - 6*y(t). Let u(q) = 2*q + 5. Let h(n) = -1. Let r(w) = 5*h(w) + u(w). Determine r(z(j)). 6*j Let f(n) = -2*n**2. Let o(d) be the first derivative of -d**3 - 2 + 2*d**3 - 4*d**3 + 2*d**3. What is f(o(i))? -18*i**4 Let q(t) = 3*t. Let j(o) = -11*o + 7. Let u(w) = -6*w + 4. Let i(g) = 4*j(g) - 7*u(g). What is q(i(r))? -6*r Let h(t) = -2*t. Let g be (-6)/(-5)*(-15)/(-6). Let j be (-10)/(-40) + (-23)/(-4). Let p(s) = s - j*s + g*s. What is h(p(z))? 4*z Let l(b) = -120*b**2 - 2*b - 2. Let v(d) = 2*d**2. Determine l(v(s)). -480*s**4 - 4*s**2 - 2 Let d(v) = -10*v + 21*v + 18*v. Let k(j) = -2*j**2. What is k(d(q))? -1682*q**2 Let y(n) = n**2 + 5*n + 5. Let z be y(-4). Let s(p) = -1 - 3*p + z + 6*p. Let v(w) = 0*w**2 - 4*w**2 + 6*w**2. Calculate v(s(q)). 18*q**2 Let p(a) = -9*a**2 + 3. Let h(m) = -71*m**2 + 20*m**2 + 25*m**2 + 23*m**2. Determine p(h(x)). -81*x**4 + 3 Let u(t) = -t**2. Let a(p) = 398*p**2. Give u(a(w)). -158404*w**4 Let z(q) be the second derivative of q**4/12 - 18*q. Let l(y) = y. Calculate l(z(u)). u**2 Suppose 1 = 4*g - 7. Let c(w) = -2*w**g + 4*w**2 - 3*w**2 - w**2. Let b(y) = 2*y. Give b(c(l)). -4*l**2 Let a(m) be the second derivative of -2*m - 1/6*m**3 + 0*m**2 + 0. Let s(z) = 0*z + 0*z + 2*z. Give a(s(x)). -2*x Let s(q) = 1100*q. Let l(c) = -c. Calculate s(l(d)). -1100*d Let u(j) = -3*j + 2. Let t(x) = 7*x - 5. Let k(s) = 2*t(s) + 5*u(s). Let f(a) = -a**2 + 5*a**2 + 3*a**2. What is k(f(c))? -7*c**2 Let l(c) = -14*c**2. Let i(k) = -12*k. What is l(i(v))? -2016*v**2 Let j(v) = -17*v**2. Let a(n) = 2*n + 5. Give a(j(g)). -34*g**2 + 5 Suppose 90*c - 95*c + 5 = 0. Let j(r) be the first derivative of -1/3*r**3 + 0*r + 0*r**2 - c. Let d(g) = g. What is d(j(k))? -k**2 Let f(q) = -q. Let h(u) be the third derivative of -7*u**5/30 + 13*u**4/24 - 5*u**2. Let p(r) = -7*r**2 + 6*r. Let y(m) = -6*h(m) + 13*p(m). What is y(f(w))? -7*w**2 Let k(z) = -2*z**2. Let i(t) = 9*t**2 + 4*t + 4. Let m(s) = 28*s**2 + 11*s + 11. Let h(a) = 11*i(a) - 4*m(a). Determine h(k(u)). -52*u**4 Let q(w) = 8*w. Let n(t) = 3*t. Determine n(q(u)). 24*u Let z(a) = -11*a**2 - 9*a. Let s(k) = -3*k**2 - 2*k. Let p(r) = -9*s(r) + 2*z(r). Let j(m) = 4*m**2. Give p(j(g)). 80*g**4 Let a(d) = d - 23. Let f(j) = -10*j**2. Calculate f(a(n)). -10*n**2 + 460*n - 5290 Let k(l) be the third derivative of l**5/15 - 35*l**2. Let r(d) = -10*d. What is k(r(n))? 400*n**2 Let d(p) = -31*p. Let r(w) = -36*w. What is r(d(g))? 1116*g Let q(m) =
{ "pile_set_name": "DM Mathematics" }
**2 - 3*y + 3. Let c be -4 + 2 + -1 - -6. Let j be (c/6)/((-3)/18). Let q(i) = 2*i**3 + 5*i**2 - 5*i + 5. Determine j*q(t) + 5*o(t). -t**3 Let l = -3 - -8. Let d be 13 + -1 + 2 + 0. Let m(w) = -7*w**3 + 5*w**2 + 5*w + 5. Let z(a) = 20*a**3 - 14*a**2 - 14*a - 14. Calculate d*m(r) + l*z(r). 2*r**3 Let l(t) = 3*t**2 + 7*t - 7. Let z(s) = -5*s**2 - 11*s + 10. Calculate 8*l(a) + 5*z(a). -a**2 + a - 6 Let t(z) = -9*z**2 + 6*z + 6. Let n(i) = -8*i**2 + 5*i + 5. Let w be 5 - -2 - (2 - 0). Let c be (-7)/35*5*(0 + 6). What is c*n(m) + w*t(m)? 3*m**2 Let f(x) = 7*x**3 - 3*x**2. Let y(j) = 11*j**3 - 7*j**2 - 3. Let m(z) = 10*z**3 - 6*z**2 - 2. Let b(n) = -3*m(n) + 2*y(n). Determine 3*b(s) + 4*f(s). 4*s**3 Let y(g) = 5*g**3 + 4*g**2 + g. Let i(a) = -2*a**3 - 2*a**2 - a. Give -5*i(q) - 3*y(q). -5*q**3 - 2*q**2 + 2*q Let d(t) = -t**2 + 1. Suppose 1 - 3 = 2*n. Let l(j) = 2*j**3 + j - 1. Let g(k) = 11*k**3 - 5*k**2 + 6*k - 2. Let z(q) = -g(q) + 6*l(q). Give n*z(y) - 3*d(y). -y**3 - 2*y**2 + 1 Let k(f) = 2*f**2 + 6. Let h(r) = 1. Let y be 2*(1 - -8)/3. Let z = -1 - 0. Give y*h(w) + z*k(w). -2*w**2 Let p(q) = -4*q. Let h(v) = 9*v. Let n(t) = 3*h(t) + 7*p(t). Let m(b) = -3*b + 1. Let i(f) = -m(f) + 2*n(f). Let z(g) = 4*g - 3. Determine 5*i(j) - z(j). j - 2 Let d(s) = -14*s**3 + 10*s - 10. Let t(l) = -l**3 + l - 1. Determine -d(k) + 10*t(k). 4*k**3 Let x(n) = 14*n - 11. Let u(v) = v - 1. Calculate -5*u(a) + x(a). 9*a - 6 Let x(d) = d**2 - d + 1. Let q(h) = -7*h + 3. Determine q(v) - 4*x(v). -4*v**2 - 3*v - 1 Let c(j) = j**3 + 5*j**2 + 5. Suppose w = 2*w - 148. Let t be 4/(-14) - w/(-28). Let i(h) = -h**3 - 4*h**2 - 4. Give t*i(g) + 4*c(g). -g**3 Let k = -2 - -7. Let f = -10 - -16. Let r(a) = -7*a**3 + 6*a + 1. Let i(u) = 16*u**3 + 3*u - 1 - 8*u**3 - 10*u. Determine f*r(t) + k*i(t). -2*t**3 + t + 1 Suppose 2*c - c + 1 = 0. Let l = c + -2. Let i(d) = 2*d + 3*d**2 - 5*d**2 - 5*d + d**2. Let m(w) = -2*w**2 - 7*w. Give l*m(b) + 7*i(b). -b**2 Let u be (-5)/(-15) + 35/3. Let h(m) = -4*m + u*m - 7*m - 4. Let z(v) = 3*v - 9. Calculate 9*h(n) - 4*z(n). -3*n Let v(p) = 6*p**3 + 4*p**2 + 4*p + 6. Let m(n) be the first derivative of -7*n**4/4 - 5*n**3/3 - 5*n**2/2 - 7*n - 13. Give -4*m(z) - 5*v(z). -2*z**3 - 2 Let z(p) = -4*p - 5. Let f(l) = -1. Let x(u) = 2*f(u) - 2*z(u). Suppose -w = 9 - 4. Let y(j) = -8 - 5 - 6*j + 6 - j. Give w*x(a) - 6*y(a). 2*a + 2 Let d(n) = -4*n**3 + n + 2. Let c(g) = 23*g**3 - 5*g - 11. What is -6*c(r) - 34*d(r)? -2*r**3 - 4*r - 2 Let i(o) = 1. Let v(h) = -2*h + 5. Let w(k) = -15*k - 5. Let l be w(-2). Suppose 0 = 4*t - y - l, t - 2*y - 4 = -4*y. Calculate t*i(z) - v(z). 2*z + 1 Let u(t) = -t**2 + 7*t. Suppose -3*r = 2*w + r + 2, -3*w = -2*r - 13. Let a(v) = 4*v**2 - 22*v. Calculate w*a(o) + 10*u(o). 2*o**2 + 4*o Let h(k) be the third derivative of k**5/30 - k**4/6 - k**3/2 + 70*k**2. Let f(a) = a**3 - 5*a**2 + 9*a + 6. What is 2*f(l) + 5*h(l)? 2*l**3 - 2*l - 3 Let k(f) = -2*f - 9. Let p(x) = -x - 10. Give 3*k(l) - 4*p(l). -2*l + 13 Let d be 1/(-2)*12/6. Let r(u) = -u**2 + u. Let z(f) = f + 8*f**2 + f - 2 - 3. Let q(p) = 9*p**2 + 3*p - 6. Let b(m) = 5*q(m) - 6*z(m). What is d*b(a) + 4*r(a)? -a**2 + a Let o(c) = c**3 + 2*c**2 + c + 2. Let j(n) = n**2 + n. Suppose 0 = -2*b - 2 - 2. Let w(f) = f + 2. Let h be w(-1). What is b*j(i) + h*o(i)? i**3 - i + 2 Let i(m) = -5*m**3 + 6*m. Let b(y) = -4*y**3 + 5*y. Determine -6*b(n) + 5*i(n). -n**3 Let q(f) = f**2 - 3*f. Let p(h) = h**2 - 4*h - 1. Suppose 23*n - 54 = 5*n. Give n*p(i) - 4*q(i). -i**2 - 3 Let f(u) = 6*u - 4. Let d(r) = -r + 1. Suppose -p + 1 = -x - 5, -p - 2*x + 3 = 0. Give p*d(b) + f(b). b + 1 Let y(m) = -m - 3. Let s(n) = -3*n - 2*n**3 + 4*n**2 + 3*n - 4*n + 2. Let c be s(2). Let i = c - -3. Let p(o) = -2*o - 7. Determine i*p(b) + 7*y(b). -b Let j(w) = 46*w. Let u(x) = 47*x. What is -6*j(c) + 5*u(c)? -41*c Let j(q) = q**2 + q. Let n(r) be the first derivative of r**4/2 - r**3/3 - r**2 - r + 7. What is 2*j(y) + n(y)? 2*y**3 + y**2 - 1 Let a(g) = -11*g + 8. Let w(b) = -5*b + 4. Let s(y) = 4*a(y) - 9*w(y). Let f = 0 + 1. Suppose 4*v + 2 - 26 = 0. Let x(u) = 1. Determine f*s(m) + v*x(m). m + 2 Let b(c) = 6*c + 8. Let h(a) = -a - 1. Give -b(g) - 4*h(g). -2*g - 4 Let q(b) = 13*b - 14. Let u(t) = 7*t - 7. What is -6*q(v) + 11*u(v)? -v + 7 Suppose -2*b - 5*g = -9, -b + 0 = 2*g - 3. Let s(w) = w**2 - 4. Let o(c) = 1. Let u(j) = -4. Let m(n) = 21*o(n) + 6*u(n). Calculate b*s(t) + 4*m(t). -3*t**2 Let b(f) = -f**3 - f - 1. Let g(y) = y. Let m be g(4). Let d(z) = -5*z**3 - 4*z - 3. Suppose 2*q + 3 + 1 = 0. Let c be q/(-4)*1*-2. Give c*d(o) + m*b(o). o**3 - 1 Let j(a) = -15*a**3 - 2*a**2 + 2*a - 3. Let c(z) = 44*z**3 + 5*z**2 - 5*z + 8. What is -3*c(l) - 8*j(l)? -12*l**3 + l**2 - l Let k(n) = -n**3 + 4*n**2 - 5*n + 3. Let l(i) = 5*i**2 - 4*i + 2. Determine -2*k(t) + 3*l(t). 2*t**3 + 7*t**2 - 2*t Let c(t) = -t**2 - 7*t - 2. Let a be c(-5). Let w(j) = -2*j - 4. Let f(b) be the first derivative of -3*b**2/2 - 6*b - 17. Determine a*w(d) - 5*f(d). -d - 2 Let f = 83 - 41. Suppose -4*t = -2 - f. Let s(j) = -3*j + 5. Let g(d) = 11*d - 14. Let k(c) = -c. Let x(o) = g(o) + 3*k(o). Calculate t*s(i) + 4*x(i). -i - 1 Let o(z) = z**2 + 1. Let q(b) = -b**2 + 1. Give -2*o(r) - 4*q(r). 2*r**2 - 6 Suppose 14*j + 19 = -23. Let w(c) = -2*c**2 + 3. Let v(o) = -2*o**2 + o + 4. Give j*w(i) + 2*v(i). 2*i**2 + 2*i - 1 Let d(r) = 2*r**3 + 2*r**2 - r. Let u(m) = 3*m**3 + 3*m**2 - m. Let n = 38 - 35. Calculate n*u(q) - 5*d(q). -q**3 - q**2 + 2*q Let y(f) = f**2 + 4*f + 1. Let p = 1 + 13. Let i(s) = 3*s + 1. Let t(x) = 2*x**2 + 12*x + 3. Let k(n) = -i(n) + t(n). Determine p*y(a) - 6*k(a). 2*a**2 + 2*a + 2 Let v(p) = p**3 + 6*p**2 - 7*p + 3. Let a(q) = 2*q**3 + 11*q**2 - 13*q + 5. Give 4*a(h) - 7*v(h). h**3 + 2*h**2 - 3*h - 1 Let k(n) = -n - 1. Let h(s) = 3*s + 4. Calculate h(v) + 4*k(v). -v Let s(v) = 4*v**3 + 6*v**2 - 6. Let l(y) = 9*y**3 + 13*y**2 - 13. Let b be (-81)/(-36)*16/(-6). Calculate b*l(a) + 13*s(a). -2*a**3 Suppose 22*q = 17*q + 25. Let y(u) = 6*u**3 + 4*u**2. Let w(p) be the first derivative of 5*p**4/4 + p**3 + 1. Determine q*w(d) - 4*y(d). d**3 - d**2 Let w(f) = -4*f**3 - 12*f. Let y(d) = d**3 + d - 1. Determine w(u) + 2*y(u). -2*u**3 - 10*u - 2 Suppose -v + 9 = 11. Let s(b) = -5*b + 15. Let q(w) = w - 3. What is v*s(m) - 11*q(m)? -m + 3 Let k(i) = 12*i**2 + 4*i - 4. Let l(y) = -13*y**2 - 5*y + 5. Determine -5*k(h) - 4*l(h). -8*h**2 Let v be (-1)/(3*2/12) + 7. Let w(z) be the third derivative of 7*z**5/60 + z**4/8 - z**3/6 + z**2. Let t(m) = -8*m**2 - 4*m + 1. Give v*t(i) + 6*w(i). 2*i**2 - 2*i - 1 Let b(r) = r**3 - 20*r**2 - 2*r + 35. Let s be b(20). Let u(o) = 6*o**3 + o + 6. Let z(k) = -7*k**3 - k - 7. Calculate s*u(a) - 4*z(a). -2*a**3 - a - 2 Let l(y) = -2*y + 3. Let s(z) be the second derivative of z**3/3 - 2*z**2 - 6*z. Determine 4*l(q) + 3*s(q). -2*q Let l(b) = -10*b**3 + 4*b - 4. Let r(c) = 40*c**3 - 15*c + 15. Give 15*l(j) + 4*r(j). 10*j**3 Let z(j) = 2*j + 2. Let h(f) be the second derivative of -f**3/2 - 3*f**2/2 + 2*f. Let g = 6 - 1. Calculate g*h(l) + 7*z(l). -l - 1 Let l(p) = -8*p**2 + 2*p - 2. Let z(x) = -x**2. Let o(i) = -l(i) + z(i). Let t(k) = -k**2 + k. What is o(w) + 5*t(w)? 2*w**2 + 3*w + 2 Let p(t) = -11*t + 6. Let c(h) = -32*h + 17. Suppose 19*g = 17*g + 34. Calculate g*p(i) - 6*c(i). 5*i Let j(s) = 4*s**2 - 7*s + 2. Let m = 63 + -58. Let t(g) = -6*g + 1 + g**2 + 1 + 2*g**2. Give m*j(u) - 6*t(u). 2*u**2 + u - 2 Let t(f) = 1. Let o(m) = -2*m - 2. Calculate o(y) + t(y). -2*y - 1 Let i(z) = z - 1. Let m(g) = g + 1. Calculate 2*i(h) + m(h). 3*h - 1 Let j(z) be the first derivative of 7*z**4/4 - 7*z**3/3 + z**2/2 - 19. Let l(t) = 10*t**3 - 10*t**2 + t. Determine 7*j(r) - 5*l(r). -r**3 + r**2 + 2*r Let s(x) = 5*x**2 - 2*x - 1. Let g(r) = -6*r**2 + 3*r + 2. Determine -2*g(l) - 3*s(l). -3*l**2 - 1 Let l(w) = -6*w - 4. Let k(b) = -b - 1. Determine 2*k(q) - l(q). 4*q + 2 Let r(g) = -5*g**3 + 2*g**2 - 2*g - 2. Let l(v) be the third derivative of -11*v**6/120 + v**5/12 - 5*v**4/24 - 5*v**3/6 + 26*v**2. Calculate 2*l(b) - 5*r(b). 3*b**3 Let u(x) = -5*x**2 - 4*x. Let t(c) = -14*c**2 - 11*c. Suppose 2*d - 4*d = 5*s + 7, -d = 5*s + 11. Let v be (-2)/6*-11*-3. Give d*t(i) + v*u(i). -i**2 Let t(x) = 13*x**3 - 78*x
{ "pile_set_name": "DM Mathematics" }
. -315*sqrt(19)/34 + 16 Simplify sqrt(133)/(sqrt(56)/sqrt(8)) + (sqrt(171)*-1)/sqrt(9) - (3 + -4*sqrt(171)/(sqrt(225) - sqrt(9)))**2. -28 + 6*sqrt(19) Simplify (-4*(sqrt(119) + -1*sqrt(119)*1)*-2)/(-4*((sqrt(112)/sqrt(4))/sqrt(4) + sqrt(63)*-1)). 0 Simplify ((0 + sqrt(700) + -3)*-3)**2 + -5 - (6*(-2*sqrt(567) + 4 + sqrt(567) + sqrt(567))**2 + -5). -540*sqrt(7) + 6285 Simplify (3 + 3*1*sqrt(72) - -1*5*sqrt(2592))**2. 1188*sqrt(2) + 78417 Simplify (sqrt(363) + (-3*(sqrt(363) + 1))**2 - -1*sqrt(363)*-2) + (sqrt(9)/sqrt(3)*-5 - sqrt(108)/sqrt(4))**2 + 2 + 5. 187*sqrt(3) + 3475 Simplify (-3*(2*sqrt(3328) + sqrt(3328) + sqrt(3328)) - 6*(sqrt(3328) - (-2*sqrt(3328) + sqrt(3328))))/((sqrt(192)/(sqrt(12) + sqrt(108)))/(sqrt(196)*-2)). 10752*sqrt(13) Simplify ((-3*sqrt(187)*6)/(-1*sqrt(1584) - sqrt(11)) - (-3*sqrt(119)*2)/sqrt(7)*5)**2. 2829888/169 Simplify 2 + (sqrt(832) - (-2 + sqrt(832))**2) + (sqrt(832) - (sqrt(832)*-2 + sqrt(832)))**2*3 - (4*(sqrt(13) + -4 + sqrt(13))*-4)**2*1. -8258 + 4136*sqrt(13) Simplify (sqrt(84)/(sqrt(36)/sqrt(3)) + (sqrt(7) - -2*sqrt(63)) + sqrt(7) + 0)**2*1 - (-3*(6*sqrt(7)*-1 + (1 + sqrt(252) - sqrt(252))) + 0)**2. -1710 + 108*sqrt(7) Simplify (sqrt(243) + (1 + sqrt(243))**2)*2 + -1 + (sqrt(18) - sqrt(54)/sqrt(27) - sqrt(18))/((sqrt(72)*-2 - sqrt(72))/sqrt(12) - sqrt(6)). 649*sqrt(3)/12 + 487 Simplify 2 + -3 + (sqrt(209) - -2*-2*sqrt(209) - sqrt(209))/(sqrt(275)*-6)*-6. -4*sqrt(19)/5 - 1 Simplify (-1 + -2*((sqrt(539) + (1 + sqrt(539) + sqrt(539))**2*6 - sqrt(539)) + 5 + 1))*2. -51794 - 672*sqrt(11) Simplify (((sqrt(14)*2)/sqrt(7) - (sqrt(2) + sqrt(2) + -1 + 0)) + (-5*(sqrt(24) + -4*sqrt(24)))/sqrt(12) + 0)**2. 30*sqrt(2) + 451 Simplify (3 + (3 + 2*sqrt(3) - (sqrt(432))**2) - (-5 + sqrt(192) + 2 + -4)) + 4. -415 - 6*sqrt(3) Simplify (-4*(sqrt(2880) - (sqrt(2880) + -3*sqrt(2880)*-2)))/(sqrt(80)/(sqrt(8)*3) - (sqrt(110) - sqrt(110)*-1)/sqrt(11)). -864*sqrt(2)/5 Simplify 2*((sqrt(11) + 0)**2*3 - -5*3*sqrt(11)) - ((sqrt(11) + 0)*-3 - (3 + sqrt(1100)))**2*2. -3670 - 126*sqrt(11) Simplify (((sqrt(121) - -5*(2*sqrt(121) - sqrt(121)) - (sqrt(121) + (1*sqrt(121) - sqrt(121)))*-6)*-4)/(sqrt(99)*-2*-6*-4))**2. 11/9 Simplify 5 + -5*(((sqrt(637) - 1*sqrt(637)) + 3 - sqrt(637)) + 4 - -2*(-2*sqrt(637)*6)**2). -917310 + 35*sqrt(13) Simplify ((3*3*sqrt(100)*-1)/(-5*5*(sqrt(128) + sqrt(128)*2 + sqrt(128) + sqrt(128))))**2. 81/20000 Simplify ((2*(4 + sqrt(612) + -1 + 4 + -4*(1 + sqrt(612))))**2 + -5)*6*-2. -264756 + 5184*sqrt(17) Simplify (sqrt(1344)*3)/(1*sqrt(252) + sqrt(252)) - (sqrt(21) + (sqrt(21) - sqrt(567)/sqrt(3)) + sqrt(21))/(sqrt(7) + sqrt(847)*-3 + sqrt(847)). 2*sqrt(3) Simplify (-1 + (-4*((2*sqrt(243) + sqrt(243))*3 + -1) - (1*(5 + sqrt(243) + sqrt(243) + -1) + -2)))**2. -684*sqrt(3) + 350893 Simplify -6*((0 + sqrt(405) + sqrt(405) + 0 + -3)**2 + ((-3 + sqrt(80))**2 - 3*sqrt(80)))*-6. -5184*sqrt(5) + 61848 Simplify (((-1*sqrt(168)*1)/((1*sqrt(120))/sqrt(10)))/(sqrt(343) + -1*sqrt(343) - (-1*sqrt(70))/sqrt(10)))**2. 2 Simplify (sqrt(110) - (-3*sqrt(110)*-2 - sqrt(110)) - sqrt(110) - sqrt(110))/(sqrt(100)/(sqrt(30)/sqrt(3))) + (sqrt(22)/sqrt(2) + 2 + 1)**2*2 + -5. 6*sqrt(11) + 35 Simplify -6*(-2*2*sqrt(204) + sqrt(204) - 6*sqrt(204)*2)/(sqrt(1452) + (sqrt(1452)*-2*2 - sqrt(1452))). -45*sqrt(17)/22 Simplify (5*sqrt(152)*2 - (sqrt(152) - (sqrt(152)*-2 - sqrt(152)))*5)/(((sqrt(120)*2 + sqrt(120) + sqrt(120) + sqrt(120) + sqrt(120))/sqrt(3))/sqrt(5)). -5*sqrt(19)/3 Simplify (sqrt(2420)*3)/(1*sqrt(64)) + (-2 + (sqrt(720) - (2*(sqrt(720) + 2 - sqrt(720)) - sqrt(720)))**2)*-6. -17364 + 4641*sqrt(5)/4 Simplify ((sqrt(720) - (-3 + sqrt(720))*-1)*-4 - -6*(sqrt(720) + 2 + -2))**2. -576*sqrt(5) + 3024 Simplify (-3 + -3*-4*(-3 + sqrt(833) + -1 + sqrt(833)) + -3)*5 + 0. -270 + 840*sqrt(17) Simplify ((sqrt(400) - sqrt(400)*1)/sqrt(8)*-5)**2 - (-5 + (-4*sqrt(294))/sqrt(3)). 5 + 28*sqrt(2) Simplify ((2*sqrt(117) + sqrt(117))*-1)/(sqrt(9)*3*4) + (-5*5*3*1*sqrt(13)*2)**2. -sqrt(13)/4 + 292500 Simplify (1*sqrt(1260)*-2)/(sqrt(63)*-3 + sqrt(7) + -1*sqrt(112)) + 2 + 0. 2 + sqrt(5) Simplify ((sqrt(396)*-2*-2 - sqrt(396))/(sqrt(9)*1*-2))/((sqrt(4) - sqrt(20)/sqrt(125)) + sqrt(64)*2 + sqrt(64) + sqrt(4) + sqrt(4)). -15*sqrt(11)/148 Simplify (((3 + 2*sqrt(2))*-3*-2 - (sqrt(22)*2*6)/(-5*sqrt(11)*-2))*-4 + -2)**2. 31968*sqrt(2)/5 + 230212/25 Simplify (1 + sqrt(2736) + 2 + 2 + 2 + 4*-3*(4 + sqrt(2736) + sqrt(2736) + 1))**2. 29256*sqrt(19) + 1450153 Simplify (-4*((sqrt(171) - -4*sqrt(171)) + 0) + (-1*(sqrt(171) + (sqrt(171) - -1*sqrt(171)) + sqrt(171)))/(sqrt(9) - -3*sqrt(36)/sqrt(4)))**2. 70699 Simplify (1 + (sqrt(140) - 1*sqrt(140) - (sqrt(385)*2)/sqrt(11))/(sqrt(49)/(sqrt(28)/sqrt(4) + sqrt(7)) + sqrt(7) + (sqrt(7) - 6*(sqrt(7) + sqrt(7)*-1))))**2. -8*sqrt(5)/5 + 21/5 Simplify (-5*(sqrt(2662)*1 - (sqrt(22)*1 - sqrt(22))*4))/((sqrt(72) - 2*sqrt(72))*-1*4). -55*sqrt(11)/24 Simplify (sqrt(2673)*-1)/sqrt(3) + 6*sqrt(396)*-2 + sqrt(396) + ((sqrt(528)*1 - sqrt(528))*-1)/sqrt(12)*4. -75*sqrt(11) Simplify (sqrt(400)*-1 + 3*sqrt(64))/(4*((sqrt(8) - (sqrt(40)/(2*sqrt(5)) - sqrt(8))) + sqrt(968)*-2)). -sqrt(2)/82 Simplify -3*((sqrt(50)/(sqrt(12)/sqrt(6)))/(-3*sqrt(5)*2) + ((1 + sqrt(405))*1 + (4 + 1*sqrt(405) - sqrt(405)))**2). -1290 - 539*sqrt(5)/2 Simplify (-3*(sqrt(132) - -1*sqrt(132)) + sqrt(132)*4*-6)/(2*(sqrt(3888) + 3*sqrt(3888) + sqrt(48))). -15*sqrt(11)/74 Simplify ((sqrt(320) - (sqrt(320)*2 - sqrt(320))*-6) + -6*(sqrt(320)*1 + sqrt(320) + sqrt(320)))/(sqrt(128)/sqrt(2) - -3*(sqrt(64) + sqrt(4))). -44*sqrt(5)/19 Simplify ((2 + -5 + sqrt(2057)*-4 + sqrt(2057) + ((sqrt(2057) + 1 - sqrt(2057)) + sqrt(2057) - sqrt(2057))*5)**2 + -1 + 5)*-1. -18521 + 132*sqrt(17) Simplify (5 + (6*((sqrt(272) - sqrt(272)*1)*-1 - (-5 + 2 + sqrt(272) + sqrt(272))))**2)*-5. -197485 + 8640*sqrt(17) Simplify -2 + (sqrt(198)*2)/(sqrt(275) - (sqrt(275) + -1*sqrt(275))) + ((2 + sqrt(72) - sqrt(72) - sqrt(2))**2 - ((1*sqrt(162))**2 - sqrt(2)))*4. -626 - 54*sqrt(2)/5 Simplify (sqrt(75) + -4 + (sqrt(3) - (sqrt(27) + 1)) + 3*sqrt(3) + 0 + (-4*sqrt(18))/sqrt(6) + sqrt(3))**2. -30*sqrt(3) + 52 Simplify 2 + (3*3*(sqrt(128) + -1) + (sqrt(128) + 2*sqrt(128) + 0)*3)**2. -2592*sqrt(2) + 41555 Simplify 3 + (sqrt(99)/(sqrt(6)/(sqrt(2) - sqrt(18))))/((sqrt(3) - (sqrt(192) + (sqrt(192) + sqrt(192)*1 - sqrt(192)) - sqrt(192)) - sqrt(3))*-3). -sqrt(11)/12 + 3 Simplify (6*(4 + (sqrt(3) - ((-1 + sqrt(3))*-5 + sqrt(3)) - (sqrt(9)/sqrt(3) + -1) - sqrt(96)/sqrt(2)*1)))**2. 0 Simplify (-3*sqrt(2268))/(sqrt(9) + sqrt(9)*-1*-3 + sqrt(9)) + (5*sqrt(63)*-3)/(sqrt(54)/sqrt(6)*-3). 7*sqrt(7)/5 Simplify ((6*(sqrt(51) - (sqrt(306)*-3 - sqrt(306))/sqrt(6)))/(1*sqrt(192)*2))**2*6. 11475/32 Simplify ((-4*sqrt(4)/sqrt(2) - (-1 + sqrt(50)) - (2*sqrt(490) + sqrt(490) - sqrt(10))/(sqrt(15)/(sqrt(12) + sqrt(3)))) + 5)**2. -828*sqrt(2) + 9558 Simplify ((sqrt(51) + sqrt(255)/sqrt(5))*-1 + sqrt(51) + sqrt(51))/(sqrt(3)*-1*-4 + sqrt(3)) + (2*sqrt(1088) + 4 + 6*-1*sqrt(1088) + -1)**2 + 2. -192*sqrt(17) + 17419 Simplify 4*((sqrt(528) + 2*sqrt(528))/(sqrt(3) - (sqrt(192) - sqrt(48))) + sqrt(44)/(sqrt(4) + sqrt(16)*1 + sqrt(4)) + -3). -15*sqrt(11) - 12 Simplify ((4 + sqrt(117)*-2 - 1*-1*sqrt(117) - (sqrt(39)/sqrt(3)*1 - (sqrt(208) + -5 - sqrt(13))))*2 + 3)**2. -4*sqrt(13) + 53 Simplify (sqrt(104) + (-1*-1*sqrt(104) - sqrt(104)))/(sqrt(24)/sqrt(75) + sqrt(8)) - 6*(3 + sqrt(117)/sqrt(225))**2. -1428/25 - 191*sqrt(13)/30 Simplify (((1*sqrt(180)*2)/(sqrt(10)*-1*6 + sqrt(10)))/(sqrt(648)/((sqrt(144)/sqrt(6))/sqrt(2))))**2. 4/75 Simplify (5*sqrt(432)*-2 + 2)*3 - (2 + (((sqrt(3)*3)**2 - sqrt(3)) + -1)*-2*2). -364*sqrt(3) + 108 Simplify (-3*((sqrt(75) - (3 + sqrt(75))) + -5))**2 + (4*1*(sqrt(75) + 2))**2. 320*sqrt(3) + 1840 Simplify (((sqrt(405) + sqrt(405) + 1)*-4 + 5 + sqrt(405)*4)*-2*-3)**2 + -3 + -1. -2592*sqrt(5) + 233312 Simplify -2 + (5*2*sqrt(5600))/(1*(sqrt(128) - -1*sqrt(128)) - sqrt(128)). -2 + 25*sqrt(7) Simplify (4*((sqrt(468)*-1 - -6*sqrt(39)/sqrt(3))*-3 - (sqrt(468) + 1*sqrt(468) + 5 - (sqrt(468) - sqrt(468)*-2)*4))*-6)**2. -345600*sqrt(13) + 26971200 Simplify (-4 + (-3*sqrt(1008)*2)**2)*-2 - (sqrt(1008) + (5 + sqrt(1008)*-2)**2 + 3 + sqrt(1008)*-2 + -1). -76627 + 252*sqrt(7) Simplify (3*((sqrt(475) - (sqrt(475)*2 + 2)) + sq
{ "pile_set_name": "DM Mathematics" }
. Let h = c + -1. Solve d*x - 9 = h*x for x. 3 Suppose 0 = -3*a - 6 + 27. Let f(h) = -6*h + 5*h - h**3 + 10 + 6*h**2 + 8*h. Let y be f(a). Solve -w = w + y for w. -5 Let c = 50 - 45. Solve 0*f = f - c for f. 5 Suppose 5*p + 5*z - 55 = -0*p, 3*z + 12 = 0. Solve -5*n = -0*n + p for n. -3 Suppose 2*y + r = 2*r - 1, 3*y + 19 = 5*r. Solve 4 - 10 = -y*q for q. 3 Let a(d) = d + 8. Let x be a(-3). Solve 0 = x*b + 3 + 17 for b. -4 Let f(p) = 2*p. Let c be f(2). Suppose 1 + 8 = c*d - 3*u, u + 3 = -2*d. Solve 3*l - l = d for l. 0 Let r = 139 - 120. Solve -3*u - r = -4 for u. -5 Suppose -2 = -k + 3*k, -1 = -2*l - k. Let n be 1*(-1)/l*4. Let w = 7 + n. Solve -3 - 6 = -w*i for i. 3 Suppose -15 = -3*p - 4*c, -2*p + 15 = p - c. Solve -5*l - p = 5 for l. -2 Let x(r) = 3*r**3 + r**2 - 2*r + 1. Let o be x(1). Let s(b) = 3*b + 0*b - 2*b + 1 + 4*b. Let c be s(1). Solve -c*q = -o*q for q. 0 Suppose 0 = -3*s + 3*u + 33, 0*s = -s - 5*u - 13. Solve -k - 6 + s = 0 for k. 1 Suppose -8*y - 5*z - 5 = -3*y, 2 = 4*y + 2*z. Solve -4*v - y = -10 for v. 2 Suppose 5*y + 22 = 3*t - 4, t = 2*y + 9. Let v = t - 4. Solve -2*k - v*k = 15 for k. -3 Let g = 0 - -3. Solve 2*s + g = 5 for s. 1 Let k = 2 + -2. Let c be (-2 - -2)/(-3) + k. Solve 6*d - d - 10 = c for d. 2 Let p(a) = 19*a**2 + 1. Let g be p(1). Suppose -2*d + g = 2*d + 4*w, 0 = 2*d + w - 8. Suppose -d = 4*o - 23. Solve -o*n - 9 = 1 for n. -2 Let i = -12 - -22. Let y be i/(-25) - 42/(-5). Solve 2*l = -0*l + y for l. 4 Let h be (2/(-6))/((-3)/27). Suppose i + 36 = -h*i. Let t be ((-60)/i)/((-3)/(-9)). Solve -5*o = -t - 5 for o. 5 Let a be ((-4)/((-32)/(-10)))/((-1)/12). Solve -h = 4*h - a for h. 3 Let n(q) be the first derivative of q**4 + q**3/3 - q**2 + q - 2. Let y be n(1). Solve -p - 9 + y = 0 for p. -5 Suppose 7*a - 95 + 32 = 0. Solve a = -4*k + 21 for k. 3 Suppose -4*q - q = 2*f - 1, 4*q - 2*f + 10 = 0. Let n be (0/q - -6)/1. Solve -g - n = g for g. -3 Suppose -2*p - 7 = -p. Let o(a) = -a**2 - 8*a - 3. Let w be o(p). Suppose 4*g - 29 = -2*n - n, w*n = g + 7. Solve 10 + g = -3*t for t. -5 Suppose 0 = -3*n + z + 18, n = 2*n + 2*z - 6. Let w = n + -3. Solve -2 = -k + w for k. 5 Suppose -5*o + 0*o + 10 = 0. Suppose 5*x - 16 = 9. Suppose -p + 16 = 3*u, 3*p + 0*p - x*u + 22 = 0. Solve 0 = -o*v - 3 + p for v. -1 Let l be (-2)/(-5) - 4/10. Suppose -2*b = m - 19, l*b = b - 2*m - 7. Suppose 5 = o, -3*z + 2*o = -2*z - 24. Solve 5*w - b = -z for w. -5 Let m(t) = 2*t**2 + 8*t + 2. Let l(o) = o**2 + 8*o + 1. Let j(b) = -3*l(b) + 2*m(b). Let y be j(8). Let n be -1 - (-6 - 0 - y). Solve h + n = 3*h for h. 3 Let l(w) = 5*w + 1. Let t(y) = 4*y. Let d(p) = -2*l(p) + 3*t(p). Let b be d(3). Solve 17 = b*n + 5 for n. 3 Suppose 4*r = -0*r. Let m be r/(0 + 1) + 1. Solve -u + 2*u = -m for u. -1 Let v(t) = t**2 + 4*t - 3. Let n be v(2). Let h(j) = 2*j - 1. Let i be h(2). Solve 0*z = -i*z - n for z. -3 Let c(v) = 2*v. Let i be c(1). Solve 0*f - i*f = 2 for f. -1 Let o = -10 + 12. Solve o*y + 3 = 5 for y. 1 Let v be ((-4)/(-14))/(-5 + 36/7). Solve 5*x = v - 27 for x. -5 Let f be 6 + -2 + (6 - 5). Suppose -4*x + f*a = -28, a + 2*a = -12. Solve -i - 2 = -x*i for i. 2 Let r = 1 - 1. Suppose r*j = 4*j - 12. Solve j*b = -b for b. 0 Let v(k) = -2*k - 2. Let b be v(-5). Solve 0 = -2*m - b for m. -4 Suppose 4*f + f + 110 = 0. Let r be 32/(-6)*33/f. Solve -4 = -r*a + 4*a for a. 1 Let j be (-14)/(-21)*(1 + 2). Suppose 0*o = -o. Solve -j*t - 2*t = o for t. 0 Suppose 8*a - 40 + 8 = 0. Suppose 3*d = j + 1, -2*d - 4*j + 19 = -j. Let g = d - 2. Solve 0 = -g*k - a*k - 12 for k. -3 Let y(d) = -2*d. Let i be y(3). Let k(t) be the third derivative of t**5/60 + t**4/4 + 7*t**3/6 + t**2. Let f be k(i). Solve -4*c + 1 = -f for c. 2 Let b(z) be the first derivative of 9/2*z**2 - 1 + 3*z + 10/3*z**3 + 1/4*z**4. Let m be b(-9). Solve -m*f = f - 8 for f. 2 Let r be (-2)/2 + 3/1. Suppose -r*v - 4 = -4*v. Let s be 3/6*5*v. Solve 5*d + 20 = s for d. -3 Let k(s) = s**2 + 12*s - 24. Let r be k(-14). Solve 0*o - 4*o - r = 0 for o. -1 Let r(n) = n**2 - 2*n + 1. Let t(b) = b**2 - 3*b + 4. Suppose 0*x - 5 = 5*x + 4*d, d = -x - 2. Let u be t(x). Let o be r(u). Solve 0 = 4*g - 3 - o for g. 3 Suppose -h + 5*p + 15 - 6 = 0, 3*h - 3*p = 15. Solve -2*t + h = 6 for t. -1 Let m(d) = d**2 + d - 1. Let h(s) = -s**2 + 6*s - 5. Let v(k) = -h(k) - 2*m(k). Let n be v(-8). Solve -n + 4 = -f for f. 3 Suppose 10*h = 3*h + 14. Solve -h*t - 3 + 1 = 0 for t. -1 Suppose -3*u = 2*s - 0*s - 11, s + 5*u = 9. Suppose -2*y = y + 2*o - 25, 0 = -5*y - 4*o + 43. Solve -1 = s*h + y for h. -2 Let c be (1/4)/((-7)/(-812)). Suppose 5*g = 5*a + 5, -3*a - 5*g + c = -0. Solve -a*b - 11 + 2 = 0 for b. -3 Suppose -2 = d - 7. Solve k - d = -2 for k. 3 Suppose 4*p - 5*h + 9 = 0, 3*h = -2*p + 9 + 14. Solve m - 2 = -p for m. -2 Let a(h) = h**2 + h - 2. Let l be a(2). Suppose -3*x = -l*v - 4, 0*v + 4*x = -3*v - 28. Let g = -1 - v. Solve -o - g*o = 20 for o. -5 Suppose 0 = 2*n - 0*n - 10. Suppose -2*r = n*g + 2, 4*g + 16 = 3*r + 2*g. Solve 3*x - 5*x = r for x. -2 Suppose 6*m - 6 - 12 = 0. Solve p + 1 = -m for p. -4 Let d(f) = -4*f - 1. Let b be d(-1). Let m be ((-16)/4 + 1)/(-1). Suppose 6 = m*h, 0 = -3*p + h - 4 + 23. Solve b = 4*o + p for o. -1 Suppose 4*a + 3 = i, i = a + 2 + 1. Let w = -2 + 4. Suppose -c + 1 + w = 0. Solve a*n = -c*n - 15 for n. -5 Let c = -13 + 25. Suppose 2*d + 3*l - c = 0, 2*l - l = d + 4. Solve d = -4*j + 2*j - 2 for j. -1 Let w = -6 + 8. Suppose w*r = -3*j + 29, -34 = -j - 2*j - r. Solve 0 = -3*a - j + 1 for a. -4 Let c be (3 - -1)*(-12)/(-16). Solve -4*f = 5 + c for f. -2 Suppose 2*m - 1 - 9 = 0. Suppose m*w + 13 - 43 = 0. Solve 4*d - w = -14 for d. -2 Let k = -4 - -8. Let m = -27 - -31. Solve -20 + k = -m*u for u. 4 Let z be (3 - 1)*34/4. Let w = z + -15. Solve w*a = -a + 15 for a. 5 Let t(a) = -4*a - 24. Let n be t(-7). Solve -z - n = 3*z for z. -1 Let w(o) = o**2 + 9*o. Let z be w(-9). Solve 3*m - 11 + 2 = z for m. 3 Suppose -23 = 3*c - 5*h - 114, -3*h - 59 = -2*c. Solve -c - 3 = -5*s for s. 5 Suppose 2*i = -0*i + 10. Suppose 2*j = -4*c - 16, 0 = -5*j - 3*c + i*c + 8. Solve 2*x = -j*x for x. 0 Suppose -4*q - 4*k - 3 = -19, 7 = -2*q + 3*k. Suppose -7 = -2*m + q. Suppose s - m = -1. Solve -1 - 2 = s*z for z. -1 Let r be (0 + -2)*10/4. Let c = r - -5. Solve -4*b + 7 + 13 = c for b. 5 Suppose l - 39 = -31. Solve 3*h - 23 = -l for h. 5 Let d(p) = p**3 + 8*p**2 - 8*p + 9. Suppose 0*t = -2*t - 18. Let c be d(t). Solve 2*a = -c*a for a. 0 Suppose -85 = -2*u - 5*c, -3*u = -2*c - 18 - 62. Suppose 6*w + u = 4*w. Let y = w - -27. Solve v = -3*v - y for v. -3 Suppose -4*v + 25 = v - 5*h, -5*h = -v - 7. Solve -4 = -7*t + v*t for t. -4 Suppose -5*o = 2*t - 33, -20 = -o - 3*o. Let c be (t/(-7))/(10/(-35)). Suppose -5*x - 4*b = -26, -2*x - 3*x + c*b + 2 = 0. Solve 0 = x*r + 5 + 1 for r. -3 Suppose 6*a - 20 = -4*a. Solve 3 = -a*c - c for c. -1 Let t = 4 - -1. Solve 0 = t*y - 3*y + 10 for y. -5 Let t be -3*(-1)/((-1)/(-2)). Let m = t + -2. Suppose 0 = -3*f - 0*f. Solve f = -9*q + m*q + 25 for q. 5 Suppose 0 = -t - 2*a + 9, 5*t + 12 = t + 4*a. Let p(l) = 5*l + 2 + 0 + 1 - 4. Let h be p(t). Solve -5 = -h*u - u for u. 1 Let l(m) = m - 11. Let z(y) = -3*y + 32. Let s(n) = -17*l(n) - 6*z(n). Let u be s(7). Solve u*h = h - 3 for h. -3 Suppose 4*k - k = 6. Solve -1 + k = s for s. 1 Suppose -5*o - 4*g + 26 = 0, 5*o - 33 = -2*g + 5*g. Solve 0 = 3*l - o - 9 for l. 5 Suppose 3*j = -5*f + 60, -4*j = -6*f + 4*f - 2. Solve f*t = 7*t - 8 for t. -4 Suppose -2*r + 16 = 4*h, -r = -3*h - 0*r + 7. Solve h*b + 4 = b for b. -2 Suppose 0 = -t + 4*t - 60. Solve -4*z + t = -0 for z. 5 Suppose d + o = 6*o + 18, 3*o - 6 = -5*d. Solve -8*m + d*m = 15 for m. -3 Suppose 16 = -i + 4*l, -3*i - 2*l + 12 = l. Solve i = -q + 1 + 1 for q. 2 Suppose -17 = -2*u + 3. Suppose 3*v + 2*v - 26 = -2*h, 2*h - 4*v = -u. Suppose 0 = -h*i - 9, -r - 5*i + 14 = -3*i. Solve q - r = 5*q for q. -5 Suppose -3*v + 5*v - 28 = 0. Solve v = -3*c + 5 for c. -3 Let g = -8 + 11. Let b be 0*(-1 + -1 + g). Solve -v = -b*v - 3 for v. 3 Suppose 0 = 2*o + 3*q - 4 - 2, o = -3*q. Let p be ((-20)/2 - -3)/(-1). Suppose 3*g - p*g = 0. Solve g = f + o - 2 for f. -4 Suppose -3*x - 1 + 16 = 0. Suppose 0*z - 3*z - 3 = -3*o, o = 5*z - 3. Suppose 4*w - d - 7 = 0, w + o*d - 5 = -1. Sol
{ "pile_set_name": "DM Mathematics" }
m of 52472, 104944, 157406, 209852, 262276? -k**3 + k**2 + 52476*k - 4 What is the p'th term of 17093, 34183, 51273, 68363, 85453, 102543? 17090*p + 3 What is the a'th term of -8803, -8647, -8491, -8335, -8179? 156*a - 8959 What is the n'th term of -57589, -57602, -57623, -57652, -57689? -4*n**2 - n - 57584 What is the a'th term of -22448, -22427, -22396, -22349, -22280, -22183? a**3 - a**2 + 17*a - 22465 What is the f'th term of 4429, 8917, 13405, 17893, 22381? 4488*f - 59 What is the j'th term of -562, -580, -588, -586? 5*j**2 - 33*j - 534 What is the h'th term of -156, -120, -16, 186, 516, 1004, 1680? 5*h**3 + 4*h**2 - 11*h - 154 What is the l'th term of 1499, 3030, 4593, 6194, 7839, 9534? l**3 + 10*l**2 + 1494*l - 6 What is the r'th term of -22352, -22348, -22342, -22334, -22324, -22312? r**2 + r - 22354 What is the x'th term of -4302, -8630, -12998, -17424, -21926? -3*x**3 - 2*x**2 - 4301*x + 4 What is the q'th term of 2704, 10967, 24738, 44017, 68804? 2754*q**2 + q - 51 What is the l'th term of -355, -1417, -3197, -5707, -8959, -12965, -17737, -23287? -2*l**3 - 347*l**2 - 7*l + 1 What is the h'th term of -652, -986, -1334, -1702, -2096, -2522, -2986? -h**3 - h**2 - 324*h - 326 What is the v'th term of -107, -163, -243, -359, -523, -747, -1043? -2*v**3 - 42*v - 63 What is the p'th term of 73, 595, 2013, 4777, 9337, 16143, 25645, 38293? 75*p**3 - 2*p**2 + 3*p - 3 What is the n'th term of 11371, 22714, 34047, 45364, 56659, 67926? -n**3 + n**2 + 11347*n + 24 What is the w'th term of 4416, 4428, 4464, 4536, 4656? 2*w**3 - 2*w + 4416 What is the k'th term of 504, 1017, 1542, 2091, 2676? 2*k**3 - 6*k**2 + 517*k - 9 What is the m'th term of 2479, 4979, 7479, 9979? 2500*m - 21 What is the p'th term of -287, -657, -1027? -370*p + 83 What is the w'th term of 93627, 374496, 842611, 1497972? 93623*w**2 + 4 What is the z'th term of -13, -11, 15, 71, 163, 297? z**3 + 6*z**2 - 23*z + 3 What is the x'th term of 712, 2947, 6704, 11983, 18784, 27107, 36952? 761*x**2 - 48*x - 1 What is the n'th term of -4457, -4416, -4305, -4088, -3729, -3192? 6*n**3 - n**2 + 2*n - 4464 What is the q'th term of -42740, -85515, -128298, -171095, -213912, -256755, -299630? -q**3 + 2*q**2 - 42774*q + 33 What is the j'th term of 6724, 13758, 20792, 27826, 34860? 7034*j - 310 What is the k'th term of -2185, -8895, -20087, -35767, -55941, -80615, -109795, -143487? -k**3 - 2235*k**2 + 2*k + 49 What is the s'th term of -177, -625, -1375, -2427, -3781, -5437? -151*s**2 + 5*s - 31 What is the m'th term of -431, -59, 313, 685, 1057? 372*m - 803 What is the j'th term of -88, -429, -1042, -1957, -3204, -4813, -6814, -9237? -5*j**3 - 106*j**2 + 12*j + 11 What is the r'th term of -9584, -9596, -9608? -12*r - 9572 What is the g'th term of 1185, 4841, 10943, 19497, 30509? g**3 + 1217*g**2 - 2*g - 31 What is the q'th term of 1718, 6810, 15172, 26702, 41298, 58858, 79280, 102462? -17*q**3 + 1737*q**2 - 2 What is the o'th term of -424, -743, -1088, -1477, -1928, -2459, -3088, -3833? -3*o**3 + 5*o**2 - 313*o - 113 What is the d'th term of -351, -405, -459, -513, -567? -54*d - 297 What is the t'th term of 832, 1868, 3096, 4510, 6104? -t**3 + 102*t**2 + 737*t - 6 What is the b'th term of 909, 1321, 2433, 4593, 8149, 13449, 20841? 58*b**3 + 2*b**2 + 849 What is the a'th term of -291, -576, -839, -1068, -1251? 2*a**3 - a**2 - 296*a + 4 What is the s'th term of -26, 3, 84, 241, 498? 4*s**3 + 2*s**2 - 5*s - 27 What is the a'th term of 241615, 241614, 241613? -a + 241616 What is the u'th term of 9107, 72864, 245933, 582974, 1138647? 9110*u**3 - 4*u**2 - u + 2 What is the h'th term of -26072, -26085, -26106, -26135, -26172, -26217? -4*h**2 - h - 26067 What is the g'th term of 4856, 4838, 4808, 4766, 4712, 4646? -6*g**2 + 4862 What is the w'th term of -4521, -9006, -13491, -17976, -22461, -26946? -4485*w - 36 What is the t'th term of 197, 440, 733, 1076, 1469, 1912, 2405? 25*t**2 + 168*t + 4 What is the j'th term of 17749, 71022, 159801, 284080, 443853? -j**3 + 17759*j**2 + 3*j - 12 What is the p'th term of -2748, -5497, -8246, -10995, -13744? -2749*p + 1 What is the b'th term of 3363, 3522, 3787, 4158, 4635? 53*b**2 + 3310 What is the o'th term of -1327, -1356, -1391, -1432, -1479? -3*o**2 - 20*o - 1304 What is the v'th term of -2570, -5079, -7588, -10097? -2509*v - 61 What is the a'th term of 2726, 5450, 8174, 10898? 2724*a + 2 What is the t'th term of -115, -278, -491, -754, -1067, -1430? -25*t**2 - 88*t - 2 What is the w'th term of 653, 1138, 1637, 2150, 2677, 3218? 7*w**2 + 464*w + 182 What is the c'th term of 9547, 9594, 9641? 47*c + 9500 What is the q'th term of 1984, 7918, 17808, 31654, 49456, 71214, 96928? 1978*q**2 + 6 What is the s'th term of -162, 187, 1136, 2985, 6034? 50*s**3 - s - 211 What is the m'th term of -4603, -18408, -41415, -73624, -115035? -4601*m**2 - 2*m What is the x'th term of 3702, 7302, 10800, 14196, 17490? -51*x**2 + 3753*x What is the q'th term of -123, -123, 69, 549, 1413, 2757? 16*q**3 - 112*q - 27 What is the j'th term of 312, 248, 140, -12, -208, -448, -732? -22*j**2 + 2*j + 332 What is the l'th term of -974, -910, -854, -812, -790? -l**3 + 2*l**2 + 65*l - 1040 What is the m'th term of 25, 35, 63, 115, 197? m**3 + 3*m**2 - 6*m + 27 What is the h'th term of -74, -1241, -2412, -3587, -4766, -5949, -7136? -2*h**2 - 1161*h + 1089 What is the t'th term of -12978, -51923, -116832, -207705, -324542, -467343? -12982*t**2 + t + 3 What is the a'th term of 162, -96, -836, -2298, -4722? -40*a**3 - a**2 + 25*a + 178 What is the p'th term of 5360, 21449, 48270, 85823? 5366*p**2 - 9*p + 3 What is the p'th term of -255, -529, -827, -1149, -1495? -12*p**2 - 238*p - 5 What is the a'th term of 126, 300, 528, 810, 1146? 27*a**2 + 93*a + 6 What is the h'th term of -45216, -180846, -406890, -723342, -1130196, -1627446, -2215086? h**3 - 45213*h**2 + 2*h - 6 What is the s'th term of -20054, -20035, -20016? 19*s - 20073 What is the s'th term of 21648, 43294, 64940? 21646*s + 2 What is the f'th term of 413, 1359, 2929, 5123, 7941, 11383, 15449? 312*f**2 + 10*f + 91 What is the h'th term of 674461, 1348929, 2023397, 2697865? 674468*h - 7 What is the n'th term of -3058381, -3058393, -3058419, -3058465, -3058537, -3058641? -n**3 - n**2 - 2*n - 3058377 What is the h'th term of 3664, 3583, 3500, 3415, 3328, 3239, 3148? -h**2 - 78*h + 3743 What is the h'th term of -12412, -12543, -12768, -13093, -13524, -14067, -14728, -15513? -h**3 - 41*h**2 - h - 12369 What is the y'th term of -2679, -5356, -8035, -10716, -13399? -y**2 - 2674*y - 4 What is the o'th term of -7, -14, -39, -100, -215, -402, -679, -1064? -3*o**3 + 9*o**2 - 13*o What is the j'th term of 492, 648, 844, 1080, 1356? 20*j**2 + 96*j + 376 What is the i'th term of 32578, 32579, 32580, 32581, 32582? i + 32577 What is the k'th term of 1286, 10274, 34660, 82142, 160418, 277186, 440144? 1283*k**3 + k**2 + 4*k - 2 What is the t'th term of -5, -163, -689, -1799, -3709? -36*t**3 + 32*t**2 - 2*t + 1 What is the j'th term of -2168, -4329, -6490? -2161*j - 7 What is the p'th term of 924, 3472, 7722, 13674? 851*p**2 - 5*p + 78 What is the i'th term of -987, -1764, -2539, -3312? i**2 - 780*i - 208 What is the a'th term of 312, 619, 926, 1233, 1540, 1847? 307*a + 5 What is the t'th term of -9262, -9267, -9272, -9277, -9282, -9287? -5*t - 9257 What is the b'th term of -25178, -25181, -25184, -25187, -25190, -25193? -3*b - 25175 What is the a'th term of 1564, 3139, 4722, 6313, 7912? 4*a**2 + 1563*a - 3 What is the r'th term of -3399, -3394, -3387, -3378, -3367? r**2 + 2*r - 3402 What is the h'th term of 1392, 1389, 1376, 1347, 1296? -h**3 + h**2 + h + 1391 What is the b'th term of 2832976, 5665954, 8498932? 2832978*b - 2 What is the b'th term of -642, -667, -708, -765, -838? -8*b**2 - b - 633 What is the j'th term of 87, 202, 303, 384, 439, 462? -j**3 - j**2 + 125*j - 36 What is the f'th term of -244, -1214, -2186, -3160, -4136, -5114, -6094? -f**2 - 967*f + 724 What is the n'th term of -62489, -124997, -187505, -250013? -62508*n + 19 What is the d'th term of 259867, 259849, 259829, 259807, 259783, 259757, 259729? -d**2 - 15*d + 259883 What is the i'th term of 1386, 1421, 1460, 1503, 1550, 1601, 1656? 2*i**2 + 29*i + 1355 What is the i'th term of 751,
{ "pile_set_name": "DM Mathematics" }
) - -2*(0 + sqrt(448))))**2. 4032 Simplify (2 + (-1 + sqrt(5) - sqrt(5)) + (sqrt(5) - (sqrt(120)/sqrt(2) - sqrt(60))/sqrt(12)))**2 - -5*sqrt(45)/(sqrt(900)*2). 9*sqrt(5)/4 + 6 Simplify ((sqrt(156) - -1*sqrt(156)*-6) + -3*sqrt(156)*-2)/(sqrt(108)*-2 - sqrt(108) - (-2*sqrt(432) - sqrt(432))). sqrt(13)/9 Simplify ((-2*3*sqrt(648))/(sqrt(20)/(sqrt(5) + sqrt(5) + (sqrt(40)*1)/sqrt(8))))**2. 52488 Simplify 4*(1 + sqrt(8) + -2 + 4)*5. 40*sqrt(2) + 60 Simplify -3 + sqrt(117)*-2 + 1 + (5 + -4*(sqrt(117) + -1))**2. -222*sqrt(13) + 1951 Simplify 4 + (sqrt(48)/sqrt(2)*-5)/(sqrt(32)/(sqrt(4)*2)). -10*sqrt(3) + 4 Simplify -3*((5*2*-2*sqrt(931))**2 + ((sqrt(931)*2 + sqrt(931))*-1 - 4*(sqrt(931) + sqrt(931)*-1)**2)). -1117200 + 63*sqrt(19) Simplify -4 + ((5*(sqrt(196) - sqrt(196)*-2))/(sqrt(84)/(sqrt(12) - sqrt(48)/sqrt(4)*5)))**2. 100796 Simplify sqrt(12)/(sqrt(42)/sqrt(28)) + ((sqrt(72) - (-2 + sqrt(72)))*6)**2. 2*sqrt(2) + 144 Simplify (sqrt(55) - (sqrt(1375) - (sqrt(1375) - (sqrt(1375) - -1*sqrt(1375)))) - (4*sqrt(55)*-1 - sqrt(55) - sqrt(55)))/(sqrt(35)/(sqrt(315)/sqrt(5))). -9*sqrt(11) Simplify -3 + (-2*sqrt(605) + sqrt(605) + -3)**2*-5. -3073 - 330*sqrt(5) Simplify (sqrt(36)/(sqrt(64) + sqrt(4)) - sqrt(18)/sqrt(2)*3)/((sqrt(18) + 2*sqrt(18)*5)/sqrt(6)). -14*sqrt(3)/55 Simplify (((sqrt(77)*4*-1 - sqrt(77)) + sqrt(77))/((sqrt(110)/sqrt(2))/sqrt(5)))**2. 112 Simplify -5*-1*(3*sqrt(832) + sqrt(832))*-2. -320*sqrt(13) Simplify 3 + sqrt(11) + 3 + sqrt(11) + sqrt(66)/sqrt(6) + (sqrt(11) - sqrt(88)/(sqrt(24)/sqrt(3) + sqrt(8))) + (sqrt(11) + 0)*4. 6 + 15*sqrt(11)/2 Simplify 3*(sqrt(2793)*-1)/(3*sqrt(27)). -7*sqrt(19)/3 Simplify -6*(0 + (sqrt(7) + sqrt(70)/sqrt(640) - sqrt(7)) + (sqrt(28) - (sqrt(28) + sqrt(112)/sqrt(4) - sqrt(28)))/sqrt(4)). -3*sqrt(7)/4 Simplify 1 + 2*((sqrt(44) - sqrt(88)/sqrt(2))*-6)/(sqrt(8)/(1*sqrt(2))) + 5. 6 Simplify (sqrt(720) + 1 + 4 + 3)**2 + (((-1 + sqrt(720))*-2)**2 - -4*(sqrt(720) + 0)). 144*sqrt(5) + 3668 Simplify (-3*(sqrt(14) + sqrt(14)*-1 + sqrt(14)) + sqrt(14))/(1*sqrt(63)). -2*sqrt(2)/3 Simplify (-6*5*(-5 + 4*sqrt(2448) + sqrt(2448) + sqrt(2448))*-3)**2. -5832000*sqrt(17) + 714039300 Simplify ((sqrt(70) + sqrt(70) + -2*sqrt(70)*6 + sqrt(70) - sqrt(70))*-1)/(sqrt(1440) - 4*(sqrt(1440) + 1*sqrt(1440)) - sqrt(1440)). -5*sqrt(7)/48 Simplify 0 + sqrt(99)*1 + ((sqrt(22) - sqrt(22)*1)/sqrt(2) - sqrt(11)) + 5*1*sqrt(11). 7*sqrt(11) Simplify -4*(-2*sqrt(847)*2)**2 - ((sqrt(98)*2)/sqrt(7))/(sqrt(6)/(sqrt(12)/sqrt(4))). -54208 - 2*sqrt(7) Simplify 2 + (sqrt(143)/sqrt(11))**2*-3 + (-2 + 5 + sqrt(208))**2. 24*sqrt(13) + 180 Simplify (sqrt(432) - (-3*(sqrt(432) + sqrt(432) + -1*sqrt(432) + sqrt(432)) + sqrt(432)))/(sqrt(32)/((sqrt(8) - sqrt(128)*1) + sqrt(8))). -72*sqrt(3) Simplify (sqrt(52) + (sqrt(52) - (sqrt(52) - (sqrt(7488) + (-1*sqrt(7488) - sqrt(7488))))) + sqrt(52) + 2*sqrt(5200) + sqrt(52))/((sqrt(96)*-1)/sqrt(6)). -11*sqrt(13)/2 Simplify -3*sqrt(1377) - (sqrt(2057)*3 - sqrt(2057))**2 - (1*(sqrt(102)*-2 + sqrt(102)))/sqrt(6)*4. -8228 - 23*sqrt(17) Simplify 6*(4 + sqrt(72) + sqrt(72)*1 + -1 + sqrt(72))**2*4. 2592*sqrt(2) + 15768 Simplify -4 + (((sqrt(98) + sqrt(98)*-2)*5)**2 - sqrt(98) - ((1 + sqrt(98))*4)**2)*-5. -4334 + 1155*sqrt(2) Simplify ((sqrt(11)*-1)**2 + -4 + -2 + 2)*-4. -28 Simplify (-1 + (sqrt(1300)*2)**2 + -3 + sqrt(1300) + (sqrt(1300) - (-1 + -1*sqrt(1300))) + sqrt(1300) + -1*-1*sqrt(1300))*-5. -25985 - 250*sqrt(13) Simplify (6*(sqrt(220)*1)/sqrt(11))/((sqrt(4) - (2*sqrt(4) + sqrt(4)) - sqrt(4))*2 + ((sqrt(48) - sqrt(144)/sqrt(3)) + sqrt(48))/sqrt(12)). -6*sqrt(5)/5 Simplify (-5 + (sqrt(10) + sqrt(160)*-2)/sqrt(2) + -1)**2. 84*sqrt(5) + 281 Simplify (3*sqrt(704)*2 - sqrt(704))**2 + (4 + sqrt(176) + (sqrt(396) + 2 - sqrt(11)))**2. 108*sqrt(11) + 18527 Simplify ((sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) - -5*sqrt(200)*-1)))**2 - (sqrt(48)/(sqrt(6)/sqrt(2)))/sqrt(8)) + -3. -sqrt(2) + 9797 Simplify (sqrt(28) + -1 + sqrt(28))*-4 - (sqrt(1792) + sqrt(1792)*-5 - sqrt(1792)). 4 + 64*sqrt(7) Simplify ((-6*5*(1 + sqrt(112)) + 2)*2 + 2)**2. 25920*sqrt(7) + 406116 Simplify -5 + sqrt(76)*1 + -3 + (sqrt(76) - (sqrt(76) - (sqrt(76)*1 + -4)))**2. -14*sqrt(19) + 84 Simplify 1 + 2 + sqrt(252) + (sqrt(252) + 1 + -3 + sqrt(252))**2. -42*sqrt(7) + 1015 Simplify ((sqrt(95)*2 + sqrt(95) - sqrt(95))*2)/(sqrt(5) - 2*sqrt(405)) - (6*sqrt(171)/sqrt(144)*2)**2. -171 - 4*sqrt(19)/17 Simplify -5 + -5*sqrt(475)*1 + 2. -25*sqrt(19) - 3 Simplify 3 + sqrt(45)*-2 + 2 - (sqrt(40)/sqrt(128) + sqrt(5) + 1 + -3 + -1). -29*sqrt(5)/4 + 8 Simplify (-4 + -3 + sqrt(847))**2 + 3 + (sqrt(847) - (sqrt(847) - (sqrt(847) + -1)*-2)**2) + 0. -6728 - 11*sqrt(7) Simplify 5*(0 + sqrt(2))*4 - -1*(sqrt(72) + sqrt(18))/sqrt(9). 23*sqrt(2) Simplify (sqrt(153) + -2*-1*sqrt(153) + sqrt(153))/(sqrt(36)*3 + sqrt(9)) + -1. -1 + 4*sqrt(17)/7 Simplify (((1*sqrt(143) + sqrt(143))*-4)/sqrt(11) - -5*sqrt(325)*6)**2. 262132 Simplify ((1 + -4 + sqrt(252) + 1 + 0 + -4)*3)**2. -648*sqrt(7) + 2592 Simplify ((sqrt(98)*2*-1 - -5*2*sqrt(98)) + 5*(0 + sqrt(98) + 3))**2. 2730*sqrt(2) + 16787 Simplify 1*(-3*sqrt(44)/sqrt(4) + sqrt(704) + 1)*5. 5 + 25*sqrt(11) Simplify 3 + (0 + ((sqrt(3) + sqrt(3)*2 - sqrt(3)) + -4)**2 - sqrt(12)/(sqrt(36)*2)). -97*sqrt(3)/6 + 31 Simplify (sqrt(65) + -3*(-2*sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))/sqrt(720) - (1 + 1 + sqrt(52) + sqrt(13) + 0). -11*sqrt(13)/6 - 2 Simplify (sqrt(550)/(sqrt(11)*-1))**2 - ((sqrt(8))**2 + 5)*5. -15 Simplify ((-6*6*((sqrt(119) - 1*sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119)))/(sqrt(28)/(sqrt(4) + sqrt(36)) + (sqrt(112)/sqrt(4))/sqrt(4)))**2. 352512/25 Simplify sqrt(192)*-1 + -2 - ((sqrt(6) + (sqrt(6) - (sqrt(6) - sqrt(24)/sqrt(100))))/sqrt(2))**2. -8*sqrt(3) - 158/25 Simplify (-5*(2*sqrt(243) - (-4 + sqrt(33)/sqrt(11))))**2. 3400*sqrt(3) + 22075 Simplify ((sqrt(245) - (3*sqrt(245) + 4)) + sqrt(245) - sqrt(245))**2 + sqrt(245) - (sqrt(15)/((-1*sqrt(30))/sqrt(10)))**2. 119*sqrt(5) + 991 Simplify ((3 + sqrt(117) - sqrt(117))*2)**2*1 + (sqrt(117) + -5*sqrt(117)*-1 + -2)**2. -72*sqrt(13) + 4252 Simplify ((sqrt(22) - ((sqrt(176)*-2)/sqrt(8) - sqrt(22)))/(sqrt(18)/(sqrt(27)/sqrt(3)))*1)**2. 176 Simplify (-2 + ((sqrt(320) - ((sqrt(320) - (sqrt(320) + 1 - sqrt(320))) + 0)) + (sqrt(320) + 1*sqrt(320) + sqrt(320))*-1)*-6)**2. -2304*sqrt(5) + 103744 Simplify (4 + sqrt(112) + 1 + 2 + ((sqrt(7)*2 - sqrt(7))*5)**2)*-2. -364 - 8*sqrt(7) Simplify (sqrt(78) + 6*-2*sqrt(78))/(sqrt(6) + sqrt(24)*-4 + sqrt(6))*-2. -11*sqrt(13)/3 Simplify (2*sqrt(65)*-4 + (sqrt(65) - -1*sqrt(65)*-2) + sqrt(65))/(-3*((sqrt(405)*3 - sqrt(405) - sqrt(405)) + sqrt(405) + sqrt(5))). 8*sqrt(13)/57 Simplify (-2*(sqrt(156) + (sqrt(156) + -2*sqrt(156))*4 - sqrt(156)))/(1*sqrt(192)*-4). -sqrt(13)/2 Simplify ((sqrt(187) - (sqrt(187)*-2*1 + sqrt(187) - sqrt(187)))*5)/(sqrt(99)/(sqrt(9) - sqrt(99)/(sqrt(11)*-2))). 45*sqrt(17)/2 Simplify ((sqrt(1323) + 2)*-5 + sqrt(1323) + (sqrt(1323) + 1 + sqrt(1323))*4)**2. -1008*sqrt(3) + 21204 Simplify ((sqrt(33)*3)/sqrt(3)*6)**2 + (sqrt(275) + ((sqrt(275) + 2 - sqrt(275)) + sqrt(275) - sqrt(275))*-1)**2. -20*sqrt(11) + 3843 Simplify ((sqrt(156)*-1 - sqrt(156) - sqrt(156))*2)/(sqrt(48)*-3 - sqrt(48)) + -4. -4 + 3*sqrt(13)/4 Simplify ((-1 + sqrt(405))**2 + -1 - sqrt(405)) + (sqrt(405) + 1 - sqrt(405))**2 + 5 + -5. -27*sqrt(5) + 406 Simplify 0 + sqrt(45) + -1 + sqrt(15)/(sqrt(3)*-2*-4). -1 + 25*sqrt(5)/8 Simplify (-5*(sqrt(162) - (1 + sqrt(162)*2))*-1)**2 + 1. 450*sqrt(2) + 4076 Simplify (((3 + sqrt(5)*1 - (sqrt(180) - (2 + sqrt(180)))) + -4*sqrt(605)*2)*3)**2. -7830*sqrt(5) + 340830 Simplify ((-2 + sqrt(891))*3 + 0)**2 - (3 + (0 + sqrt(891) + sqrt(891))**2 + sqrt(891)*-2 + 0). -306*sqrt(11) + 4488 Simplify (-5 + 3 + sqrt(64)/sqrt(8)*2)**2. -16*sqrt(2) + 36 Simplify ((6*((sqrt(143) - -2*sqrt(143)) + sqrt(143)))/(sqrt(11) + sqrt(121)/(sqrt(11) + sqrt(55)/sqrt(5))))**2. 3328 Simplify ((-3*(sqrt(110) - -1*sqrt(110))*-4)/(-1*sqrt(90) + sqrt(10) + (sqrt(10) - (2*sqrt(90) - sqrt(90)))))**2. 396 Simplify (sqrt(300)/(sqrt(20)/sqrt(2)) - 3*(sqrt(30) - sqrt(90)/sqrt(3)))/(sqrt(72)/((2*sqrt(144))/sqrt(12))). 2*sqrt(5) Simplify -4 + (3 + 4 + sqrt(192) - (0 + (sqrt(192) - sqrt(192)*-3))**2). -3069 + 8*sqrt(3) Simplify 1 + 0 +
{ "pile_set_name": "DM Mathematics" }
minutes after 9:30 PM? 7:47 AM What is 158 minutes after 12:05 AM? 2:43 AM What is 517 minutes after 1:58 PM? 10:35 PM What is 123 minutes after 6:56 AM? 8:59 AM What is 570 minutes before 12:25 PM? 2:55 AM How many minutes are there between 9:47 PM and 6:12 AM? 505 What is 191 minutes after 2:28 AM? 5:39 AM What is 145 minutes before 12:20 PM? 9:55 AM How many minutes are there between 1:35 AM and 10:19 AM? 524 What is 504 minutes before 1:57 AM? 5:33 PM What is 612 minutes before 3:08 PM? 4:56 AM How many minutes are there between 12:27 AM and 5:30 AM? 303 How many minutes are there between 9:32 AM and 6:48 PM? 556 What is 719 minutes before 4:26 AM? 4:27 PM How many minutes are there between 9:49 AM and 7:48 PM? 599 How many minutes are there between 6:42 PM and 6:26 AM? 704 What is 300 minutes after 3:57 AM? 8:57 AM What is 405 minutes after 4:26 AM? 11:11 AM What is 474 minutes after 8:15 AM? 4:09 PM How many minutes are there between 8:24 AM and 8:51 AM? 27 What is 115 minutes after 1:47 PM? 3:42 PM How many minutes are there between 5:42 AM and 3:41 PM? 599 What is 141 minutes after 5:49 AM? 8:10 AM How many minutes are there between 7:55 PM and 3:48 AM? 473 How many minutes are there between 1:24 PM and 12:05 AM? 641 How many minutes are there between 2:49 PM and 1:44 AM? 655 What is 309 minutes before 7:22 AM? 2:13 AM What is 355 minutes after 8:02 PM? 1:57 AM How many minutes are there between 6:29 PM and 1:54 AM? 445 What is 11 minutes before 3:28 AM? 3:17 AM What is 244 minutes after 10:58 PM? 3:02 AM How many minutes are there between 5:26 PM and 10:19 PM? 293 How many minutes are there between 9:29 AM and 6:15 PM? 526 How many minutes are there between 9:34 PM and 11:53 PM? 139 How many minutes are there between 11:15 PM and 1:27 AM? 132 How many minutes are there between 10:49 PM and 12:17 AM? 88 How many minutes are there between 4:27 AM and 4:37 AM? 10 What is 82 minutes before 4:17 PM? 2:55 PM How many minutes are there between 5:53 PM and 10:48 PM? 295 What is 71 minutes before 8:06 AM? 6:55 AM What is 416 minutes before 1:45 AM? 6:49 PM What is 670 minutes after 4:41 PM? 3:51 AM What is 231 minutes before 8:35 PM? 4:44 PM What is 249 minutes before 8:44 PM? 4:35 PM What is 655 minutes before 3:35 AM? 4:40 PM How many minutes are there between 5:59 PM and 9:50 PM? 231 How many minutes are there between 6:18 AM and 12:11 PM? 353 What is 670 minutes after 5:11 AM? 4:21 PM What is 421 minutes before 12:06 PM? 5:05 AM How many minutes are there between 9:36 PM and 8:41 AM? 665 How many minutes are there between 6:42 AM and 7:35 AM? 53 How many minutes are there between 1:24 PM and 3:05 PM? 101 How many minutes are there between 8:03 PM and 6:39 AM? 636 How many minutes are there between 6:56 AM and 3:20 PM? 504 What is 344 minutes before 3:26 AM? 9:42 PM What is 715 minutes before 8:51 AM? 8:56 PM What is 159 minutes before 4:39 PM? 2:00 PM What is 607 minutes after 6:03 AM? 4:10 PM How many minutes are there between 6:12 PM and 8:52 PM? 160 What is 325 minutes before 11:54 AM? 6:29 AM How many minutes are there between 3:04 AM and 6:18 AM? 194 What is 173 minutes after 11:36 PM? 2:29 AM How many minutes are there between 6:01 PM and 10:11 PM? 250 What is 10 minutes before 11:42 AM? 11:32 AM What is 578 minutes before 5:38 AM? 8:00 PM How many minutes are there between 5:30 AM and 5:19 PM? 709 How many minutes are there between 7:47 AM and 4:32 PM? 525 How many minutes are there between 3:04 AM and 10:52 AM? 468 What is 700 minutes before 7:29 AM? 7:49 PM What is 14 minutes after 3:51 AM? 4:05 AM What is 186 minutes after 11:31 PM? 2:37 AM How many minutes are there between 10:33 AM and 3:22 PM? 289 What is 69 minutes before 8:22 AM? 7:13 AM What is 291 minutes after 10:25 AM? 3:16 PM What is 270 minutes after 1:15 PM? 5:45 PM What is 54 minutes after 6:53 AM? 7:47 AM What is 564 minutes after 5:48 AM? 3:12 PM What is 672 minutes after 9:13 AM? 8:25 PM What is 354 minutes before 7:33 PM? 1:39 PM What is 559 minutes before 6:58 PM? 9:39 AM How many minutes are there between 5:38 PM and 10:53 PM? 315 How many minutes are there between 5:54 AM and 11:53 AM? 359 What is 664 minutes after 8:51 PM? 7:55 AM How many minutes are there between 9:36 AM and 11:08 AM? 92 How many minutes are there between 4:42 AM and 5:35 AM? 53 How many minutes are there between 5:28 PM and 6:10 PM? 42 What is 194 minutes before 12:45 PM? 9:31 AM What is 547 minutes after 9:20 PM? 6:27 AM What is 27 minutes after 4:34 AM? 5:01 AM How many minutes are there between 6:06 PM and 2:17 AM? 491 How many minutes are there between 12:26 PM and 2:48 PM? 142 How many minutes are there between 9:00 AM and 2:18 PM? 318 How many minutes are there between 4:41 PM and 7:52 PM? 191 What is 296 minutes before 6:35 AM? 1:39 AM How many minutes are there between 12:52 PM and 3:44 PM? 172 What is 191 minutes after 7:44 PM? 10:55 PM How many minutes are there between 7:49 PM and 8:24 PM? 35 What is 103 minutes before 10:47 AM? 9:04 AM What is 103 minutes before 2:38 PM? 12:55 PM What is 625 minutes before 5:54 AM? 7:29 PM How many minutes are there between 9:28 PM and 9:37 PM? 9 What is 474 minutes before 6:42 PM? 10:48 AM How many minutes are there between 10:49 AM and 10:07 PM? 678 What is 430 minutes before 8:32 AM? 1:22 AM What is 283 minutes before 6:47 PM? 2:04 PM What is 404 minutes after 3:39 AM? 10:23 AM What is 581 minutes after 6:31 AM? 4:12 PM What is 126 minutes before 8:35 AM? 6:29 AM How many minutes are there between 3:29 AM and 3:08 PM? 699 How many minutes are there between 10:03 PM and 9:50 AM? 707 How many minutes are there between 9:19 AM and 8:02 PM? 643 What is 625 minutes after 2:29 AM? 12:54 PM How many minutes are there between 11:39 AM and 2:26 PM? 167 What is 152 minutes before 8:17 PM? 5:45 PM How many minutes are there between 12:32 AM and 3:10 AM? 158 How many minutes are there between 6:50 AM and 4:23 PM? 573 What is 496 minutes before 5:33 PM? 9:17 AM What is 302 minutes after 7:19 PM? 12:21 AM How many minutes are there between 2:22 AM and 8:16 AM? 354 How many minutes are there between 5:01 PM and 2:56 AM? 595 How many minutes are there between 8:24 PM and 11:03 PM? 159 What is 158 minutes before 8:14 AM? 5:36 AM What is 315 minutes before 1:16 AM? 8:01 PM How many minutes are there between 9:04 PM and 12:59 AM? 235 What is 549 minutes before 2:05 AM? 4:56 PM How many minutes are there between 10:07 PM and 2:56 AM? 289 What is 9 minutes after 3:01 AM? 3:10 AM How many minutes are there between 9:19 PM and 6:52 AM? 573 How many minutes are there between 1:15 AM and 6:38 AM? 323 How many minutes are there between 3:07 AM and 5:08 AM? 121 How many minutes are there between 11:03 PM and 9:42 AM? 639 What is 145 minutes after 1:13 PM? 3:38 PM What is 646 minutes before 7:44 AM? 8:58 PM How many minutes are there between 9:44 AM and 12:31 PM? 167 How many minutes are there between 10:16 AM and 5:01 PM? 405 What is 69 minutes after 1:19 AM? 2:28 AM How many minutes are there between 11:36 PM and 9:54 AM? 618 How many minutes are there between 1:29 PM and 2:11 PM? 42 How many minutes are there between 4:00 PM and 4:19 PM? 19 What is 372 minutes after 12:21 PM? 6:33 PM What is 414 minutes before 10:34 PM? 3:40 PM How many minutes are there between 4:42 AM and 9:51 AM? 309 What is 535 minutes after 11:41 PM? 8:36 AM How many minutes are there between 10:54 AM and 9:24 PM? 630 How many minutes are there between 9:23 AM and 9:07 PM? 704 How many minutes are there between 5:36 AM and 5:26 PM? 710 How many minutes are there between 1:39 PM and 6:25 PM? 286 How many minutes are there between 8:49 AM and 8:21 PM? 692 What is 670 minutes before 8:19 AM? 9:09 PM How many minutes are there between 2:04 AM and 3:00 AM? 56 What is 505 minutes before 4:28 PM? 8:03 AM What is 120 minutes before 2:38 AM? 12:38 AM What is 502 minutes before 6:55 PM? 10:33 AM How many minutes are there between 9:27 AM and 7:19 PM? 592 How many minutes are there between 7:26 PM and 4:16 AM? 530 How many minutes are there between 10:25 PM and 10:44 PM? 19 What is 98 minutes after 12:19 PM? 1:57 PM How many minutes are there between 12:29 AM and 4:00 AM? 211 What is 367 minutes aft
{ "pile_set_name": "DM Mathematics" }
ommon divisor of l and 5. 1 Suppose -4*a - 624 = 5*d - 216, d = 0. Suppose -x + 120 = -3*x. Let y = x - a. What is the greatest common factor of 28 and y? 14 Suppose -9*v + 880 = -5*v. What is the highest common divisor of 88 and v? 44 Let c be 0/(2 + 0) + (57 - 15). Calculate the highest common factor of 231 and c. 21 Suppose -46 = 5*p - 156. Let w = 31 - p. Suppose 4*g + 1 = w. Calculate the highest common divisor of 1 and g. 1 Suppose y + 31 = 4*y + 2*u, 5*y + 3*u = 51. Let t(a) = -a**2 - a + 63. Let w be t(0). What is the greatest common factor of w and y? 9 Let j(m) = m**3 + m + 55. Suppose 5 = -5*u + k, 10*k - 25 = -u + 5*k. Let b be j(u). What is the greatest common divisor of 5 and b? 5 Suppose -4*j = 3*t - 38, 0*t = -4*t - 2*j + 34. Suppose 0 = 3*z - 5 + 14. Let y be (0 + -10)*z/t. Calculate the greatest common factor of y and 45. 5 Suppose 4*m - 5*m + 38 = 3*w, -40 = -3*w + m. What is the highest common divisor of w and 143? 13 Let p(u) = -u - 7. Let n be p(-4). Let w be (n/(-2))/(1/6). What is the greatest common factor of 1 and w? 1 Suppose 456 = k + 3*k. Let g be k/7 + 4/(-14). Suppose 0*n + 144 = n. What is the highest common divisor of g and n? 16 Let b(n) be the second derivative of 5*n**3/3 - n**2 + 2*n. Let j be b(3). What is the highest common factor of 14 and j? 14 Suppose 0*b + b - 13 = -3*c, -45 = -5*b - 5*c. Calculate the highest common divisor of 105 and b. 7 Suppose -7 = -3*t + 4*z, 5*z = t + 5 + 11. What is the highest common divisor of 81 and t? 9 Let d be 19 + 1 + -4 + (1 - -4). What is the highest common factor of 147 and d? 21 Let p = 204 + -165. Calculate the highest common divisor of 39 and p. 39 Let h(k) = 2*k**3 - 15*k**2 + 7*k. Let s be h(8). Calculate the highest common divisor of s and 30. 30 Suppose 0 = -3*r + r + 26. Let c(m) = -6*m - 4. Let o(f) = 5*f + 3. Let a(n) = 5*c(n) + 4*o(n). Let v be a(-6). Calculate the highest common divisor of v and r. 13 Let s = 8 + -6. Let l be (s/3)/(-1)*-15. Suppose -2*a + 25 = 5*g, -l = -4*a + 2*g + 28. Calculate the greatest common factor of 110 and a. 10 Suppose 3*p - 347 + 35 = 0. What is the greatest common factor of p and 26? 26 Let g(x) = -x - 1. Let y be g(-9). What is the highest common divisor of y and 72? 8 Suppose 2*t - 42 = 3*t. Let w = t - -75. Calculate the highest common factor of 11 and w. 11 Let i be (-21)/(-5) + 1/(-5). Let t be ((-8)/(-10))/(i/250). Let z be 11 - 2*1/2. What is the highest common divisor of t and z? 10 Let j(a) = 5*a**2 - 4*a - 3. Let t be j(-2). Let d = t + -14. What is the highest common divisor of d and 11? 11 Suppose -11 = 2*k - 47. Suppose 23*a - 54 = 14*a. Calculate the highest common divisor of k and a. 6 Let f be 7/(7/20) + -3. Let t = 87 - 19. Calculate the highest common divisor of f and t. 17 Let v = -27 - -43. Suppose -v = -5*p + 9. Let o(q) = -40*q. Let f be o(-1). What is the highest common factor of f and p? 5 Suppose 0*n + 4 = n. Suppose -8 = -4*o - 4*s, -4*o - 5*s + n = -6. Suppose -4*w + 0*w + 84 = o. Calculate the highest common divisor of 14 and w. 7 Suppose 10*t = 16*t - 48. What is the highest common divisor of t and 32? 8 Suppose -4*m + 4*q + 268 = 0, 3*m - 5*m - 2*q = -138. What is the greatest common divisor of m and 4? 4 Suppose -2*a + 0*a = 4. Let o(s) = -s**3 + 2*s**2 + 2. Let j be o(a). Suppose -10 - 8 = -3*d. Calculate the greatest common factor of d and j. 6 Let g be -8*5/(-2)*1. Let m = g - 1. What is the greatest common factor of 19 and m? 19 Let c be (0 - (-20)/(-3))*-3. Calculate the greatest common factor of 160 and c. 20 Let j = 1 + 1. Let c be (-1 + -2)*-1*8. Let r be (-4)/22 - c/(-11). What is the highest common factor of j and r? 2 Suppose 8*m + 4*i = 11*m - 301, 2*m - 194 = i. Calculate the greatest common factor of 38 and m. 19 Let d = -257 - -369. Calculate the greatest common divisor of d and 16. 16 Let i = -71 - -199. Calculate the highest common factor of i and 16. 16 Let y(q) = -q**3 + 7*q**2 - q + 8. Let d be y(7). Suppose -n + 3*n = -8. Let s be d/((n/(-9))/4). What is the highest common divisor of s and 9? 9 Suppose p - 5*b = -6 + 58, 112 = 3*p - 4*b. Calculate the highest common factor of p and 80. 16 Let r(g) = g**2 - 2*g + 51. Let p be r(0). Calculate the greatest common divisor of p and 17. 17 Let t(k) = -k**2 - 12*k + 6. Let f be t(-8). Let p = f - 26. Calculate the greatest common factor of 12 and p. 12 Let t be (6/9)/(2/9). Suppose -6*l = -t*l - 96. Calculate the highest common factor of 4 and l. 4 Suppose 5*s - 2*c = 239, 0 = -5*s - 4*c + c + 229. Calculate the highest common factor of 188 and s. 47 Let c be (-11 + (-9 - -7))*7/(-1). What is the greatest common divisor of 26 and c? 13 Let k be 193/6 + (-4)/24. Calculate the greatest common divisor of 4 and k. 4 Let h = -40 - -73. Calculate the highest common divisor of h and 44. 11 Suppose 3*d + 2*p = -7, p - 5 = -3*d + 5*p. Let b be (0 - (d + 2)) + 17. Let u(s) = -s - 2. Let t be u(-4). What is the greatest common divisor of t and b? 2 Suppose p = -5*f + 34, p + 0*p = -4*f + 28. Let r = -51 + 87. Suppose -f*z + 4*z = -r. Calculate the greatest common factor of 90 and z. 18 Let g(p) = -p**3 - 9*p**2 + 8*p. Let s be g(-10). Suppose 3 + 17 = f. Suppose 0 = -3*n + a + 7, -4*a + f = 0. What is the highest common factor of n and s? 4 Let i(w) = 2*w**3 - 3*w**2 + w - 3. Let q be i(3). Let t be 1 - 0 - (-17 + 0). What is the greatest common factor of q and t? 9 Suppose -j - 300 = -6*j. Let c = -15 + 27. Calculate the highest common divisor of j and c. 12 Let j = -50 - -74. Let f(n) = -n + 3. Let s be f(-7). Let m = s + -4. Calculate the highest common divisor of m and j. 6 Suppose -g - g - 56 = 0. Let i = g - -39. What is the greatest common divisor of 33 and i? 11 Let o(f) = -f - 6. Let k be o(-7). Suppose 3*s - 5*w = -12, w + w - 8 = -2*s. Calculate the greatest common factor of k and s. 1 Let y be (-3)/(-9) - 51/(-9). Calculate the highest common factor of 9 and y. 3 Let f = -3 - -26. Let u = f - 63. Let w = -26 - u. What is the highest common divisor of w and 154? 14 Let y = 34 + -19. Calculate the highest common factor of y and 10. 5 Let h be (24/(-5))/((-3)/10). Let z(k) = -3*k - 2*k**2 + k**3 - 4*k + 0*k**2. Let x be z(5). What is the greatest common divisor of h and x? 8 Let n(t) = -t**2 - t + 36. Let b be n(0). What is the highest common factor of b and 4? 4 Suppose -u + 3*u = 104. Suppose -53 = 5*w + u. Let h = w + 84. What is the greatest common factor of 9 and h? 9 Let h be ((-12)/(-16))/(1/(-4)). Let y(z) = 20*z - 1. Let s be y(h). Let f = s + 96. What is the greatest common divisor of 7 and f? 7 Let y = 1 + 5. Suppose 0 = -2*x + y*x - 20. Suppose 0*c - x = -c, -c = 5*v - 305. Calculate the greatest common factor of 24 and v. 12 Let o(d) = -9*d - 34. Let p be o(-4). What is the greatest common divisor of p and 14? 2 Suppose -5*z + 0*z = -5. Let s = z - 0. Let u be -1 - (1 + -2 - 8). What is the greatest common factor of s and u? 1 Suppose t = -5*d + 54, 0 = 4*t - 2*t - d - 86. Calculate the greatest common factor of t and 33. 11 Let n(q) = 5*q**2 - 2 + 6 - q**2 - 2*q**2 + 6*q. Let t be n(-4). Calculate the highest common factor of 3 and t. 3 Suppose -9 = -2*f - 1. Suppose -f*x - 6 = -42. What is the greatest common divisor of x and 6? 3 Let p be (-1)/4 - 27/(-12). Suppose -p*w + 139 = 5*r, -3*w - 43 - 32 = -3*r. Let a = -6 + 9. What is the highest common divisor of a and r? 3 Let u be ((-7)/14 + (-2)/4)*-12. What is the highest common factor of u and 36? 12 Let f(o) = -1 + 2 - 8*o - 7*o. Let s be f(-1). Let y(v) = 5*v + 5. Let c be y(7). Calculate the greatest common divisor of c and s. 8 Let a(j) = 2*j + 12. Let p be a(-9). Let h = p + 14. Calculate the highest common divisor of h and 8. 8 Let a(s) = 2*s**2 - 11*s - 2. Let j(u) = u**2 - 6*u - 1. Let b(o) = 3*a(o) - 5*j(o). Let v be b(5). Calculate the highest common factor of v and 18. 9 Suppose -242 = -3*x + 127. Calculate the greatest common divisor of x and 82. 41 Suppose 6 = -2*n, 0 = -4*m + m + n + 3. Suppose -10 - 33 = -2*s + 3*g, m = 3*g + 15. What is the greatest common divisor of 112 and s? 14 Let i = 11 + -3. What is the highest common divisor of i and 8? 8 Let s(n) be the first derivative of n**2/2 - 2*n + 1. Let g be s(4). Let k(c) = c**2 + 3*c + 6. Let z
{ "pile_set_name": "DM Mathematics" }
nearest 10. -9370 Round -852.849 to the nearest 10. -850 What is 26.899749 rounded to the nearest ten? 30 What is 53719770 rounded to the nearest one million? 54000000 Round 24.79471 to two dps. 24.79 Round 2629.4 to the nearest one hundred. 2600 Round -0.0072456766 to three decimal places. -0.007 What is 2287.08 rounded to the nearest ten? 2290 What is -0.000000297718 rounded to 7 dps? -0.0000003 Round 9.11498 to one dp. 9.1 What is -0.00000318085 rounded to seven decimal places? -0.0000032 Round -22057280 to the nearest one hundred thousand. -22100000 Round -3383660 to the nearest one hundred thousand. -3400000 Round -0.0099746 to 2 decimal places. -0.01 What is 0.00000033177 rounded to seven decimal places? 0.0000003 What is -5452419000 rounded to the nearest one million? -5452000000 Round -475.874 to the nearest 100. -500 What is 32494.9 rounded to the nearest 100? 32500 What is -3.813192 rounded to 2 dps? -3.81 Round 212430 to the nearest 10000. 210000 What is -737412000 rounded to the nearest 1000000? -737000000 Round 4.76274 to 1 decimal place. 4.8 What is -0.239894 rounded to four decimal places? -0.2399 Round 0.0000042916 to five decimal places. 0 What is 7.07583 rounded to one dp? 7.1 What is 7575.41 rounded to the nearest one hundred? 7600 Round -0.0000050400325 to 6 dps. -0.000005 Round 0.0006797507 to 7 decimal places. 0.0006798 Round -45707.24 to the nearest one hundred. -45700 What is -26208.65 rounded to the nearest one thousand? -26000 Round 0.0022440749 to 7 decimal places. 0.0022441 What is -2.9116836 rounded to 0 decimal places? -3 What is -0.09311552 rounded to 4 decimal places? -0.0931 Round -86516.36 to the nearest one hundred. -86500 Round -0.0055289 to 3 decimal places. -0.006 What is 0.0000479678 rounded to 7 decimal places? 0.000048 Round -516927 to the nearest 100. -516900 Round 132790 to the nearest one thousand. 133000 Round -0.21009962 to two decimal places. -0.21 Round -0.052166564 to two dps. -0.05 Round 0.0592768 to three decimal places. 0.059 What is 859006.7 rounded to the nearest ten thousand? 860000 Round 0.00486772 to five dps. 0.00487 What is 0.0002174757 rounded to 5 dps? 0.00022 What is -0.000000631206 rounded to 7 decimal places? -0.0000006 Round 1529.051 to the nearest one thousand. 2000 What is 143280.32 rounded to the nearest 10000? 140000 What is 0.000675093 rounded to four dps? 0.0007 Round 0.00003260929 to five dps. 0.00003 What is 6.5243694 rounded to 1 decimal place? 6.5 Round 38849140 to the nearest ten thousand. 38850000 What is 1580.297 rounded to the nearest 100? 1600 What is -0.10250679 rounded to two decimal places? -0.1 What is -31317.979 rounded to the nearest 100? -31300 Round 227239600 to the nearest one million. 227000000 What is 7037790 rounded to the nearest one hundred thousand? 7000000 Round -0.000001593456 to 7 dps. -0.0000016 What is -0.000003010427 rounded to seven dps? -0.000003 What is 35.979794 rounded to 2 decimal places? 35.98 What is 1978.437 rounded to the nearest one hundred? 2000 What is 7432357.4 rounded to the nearest ten thousand? 7430000 What is -506526.5 rounded to the nearest 100000? -500000 Round -3149.571 to the nearest ten. -3150 Round 259776.9 to the nearest 10000. 260000 Round -101.059 to 0 dps. -101 Round -0.00005292 to six dps. -0.000053 Round -473.5001 to the nearest 10. -470 What is 0.00045052005 rounded to five decimal places? 0.00045 Round -0.000007383585 to 6 dps. -0.000007 What is 0.00002400269 rounded to four dps? 0 Round -213.069 to the nearest ten. -210 What is -16600506 rounded to the nearest 1000? -16601000 Round 113.667 to zero dps. 114 Round -0.000352605 to five decimal places. -0.00035 Round 2.64279 to one decimal place. 2.6 Round 0.0006628643 to 5 dps. 0.00066 What is -0.1711938 rounded to 3 decimal places? -0.171 What is -0.0014932345 rounded to 6 decimal places? -0.001493 What is -0.1610468 rounded to 3 decimal places? -0.161 What is 20948490 rounded to the nearest 1000000? 21000000 Round -0.0000180756 to 6 decimal places. -0.000018 What is 119964.3 rounded to the nearest one thousand? 120000 What is -733.21566 rounded to 0 dps? -733 Round -647421100 to the nearest 100000. -647400000 Round 0.945164 to 2 decimal places. 0.95 What is -0.0316772 rounded to two dps? -0.03 Round 1.0656643 to one dp. 1.1 Round 0.00002258004 to six decimal places. 0.000023 What is 0.012092284 rounded to 4 dps? 0.0121 Round -38.906 to one decimal place. -38.9 Round -1826919 to the nearest 1000. -1827000 Round 0.0000283267 to six decimal places. 0.000028 What is 3.9117526 rounded to 2 decimal places? 3.91 Round 0.0000000144923 to 7 dps. 0 Round -9799400 to the nearest one hundred thousand. -9800000 Round 4670000 to the nearest 100000. 4700000 What is -0.454171 rounded to 2 decimal places? -0.45 Round 2619509 to the nearest 1000. 2620000 Round -16302680 to the nearest one million. -16000000 What is 2583.515 rounded to the nearest one hundred? 2600 What is -1287931 rounded to the nearest 1000? -1288000 Round 0.15294389 to 2 decimal places. 0.15 What is 21.02521 rounded to one decimal place? 21 Round -1769573.3 to the nearest ten thousand. -1770000 Round 3.69907 to 2 dps. 3.7 What is -0.000000583925 rounded to 7 dps? -0.0000006 What is -758.83 rounded to zero dps? -759 Round 3290490 to the nearest one hundred thousand. 3300000 Round -9786800 to the nearest one hundred thousand. -9800000 What is 1.33556873 rounded to one decimal place? 1.3 Round 1107.685 to the nearest 10. 1110 What is 2426.33 rounded to the nearest ten? 2430 What is 451.54 rounded to the nearest integer? 452 What is -1001484600 rounded to the nearest 1000000? -1001000000 What is -25670.077 rounded to the nearest ten? -25670 What is -361307.6 rounded to the nearest 100? -361300 What is 3591039.7 rounded to the nearest 10000? 3590000 Round -4264772800 to the nearest 1000000. -4265000000 What is 0.0000491519 rounded to five dps? 0.00005 Round -400071.3 to the nearest one hundred. -400100 What is 1140.6 rounded to the nearest 1000? 1000 Round -18590 to the nearest one thousand. -19000 Round -0.26061136 to five dps. -0.26061 What is 4501900 rounded to the nearest one hundred thousand? 4500000 Round -102457 to the nearest 10000. -100000 What is -26033700 rounded to the nearest 1000000? -26000000 What is 78.266176 rounded to one decimal place? 78.3 What is -73.6202 rounded to zero decimal places? -74 Round 31.98561 to the nearest 10. 30 What is -151732.5 rounded to the nearest one thousand? -152000 Round 0.001158385 to 6 decimal places. 0.001158 What is 232339 rounded to the nearest 10000? 230000 Round -5689500 to the nearest 1000000. -6000000 Round 4.351748 to two decimal places. 4.35 What is 3144.898 rounded to 0 dps? 3145 Round 84.8327 to one dp. 84.8 Round 0.00001422676 to seven decimal places. 0.0000142 What is 0.002783587 rounded to five decimal places? 0.00278 What is 0.000317283 rounded to 7 decimal places? 0.0003173 What is -86956230 rounded to the nearest ten thousand? -86960000 What is 0.001815499 rounded to 4 decimal places? 0.0018 What is 37123.1 rounded to the nearest one thousand? 37000 What is 273430.6 rounded to the nearest ten thousand? 270000 Round 11149 to the nearest ten thousand. 10000 What is 1455922 rounded to the nearest 100000? 1500000 Round -65747000 to the nearest one hundred thousand. -65700000 Round -315589.14 to the nearest one thousand. -316000 What is -132274400 rounded to the nearest one million? -132000000 What is 2175930 rounded to the nearest ten thousand? 2180000 What is -0.464371 rounded to the nearest integer? 0 What is -8359412.2 rounded to the nearest 1000000? -8000000 What is 0.00000056977091 rounded to 7 dps? 0.0000006 Round -0.0001364481 to 7 dps. -0.0001364 Round -0.014455294 to four decimal places. -0.0145 Round 7.4425 to zero decimal places. 7 Round 43016101 to the nearest 10000. 43020000 What is -0.000777884 rounded to 6 dps? -0.000778 Round -444.7701 to the nearest integer. -445 What is 0.00173387 rounded to 6 decimal places? 0.001734 Round 0.000000205159 to 7 decimal places. 0.0000002 Round -2290.958 to the nearest 10. -2290 Round -43091.111 to the nearest 1000. -43000 What is -58984.53 rounded to the nearest 1000? -59000 Round 29319.719 to the neares
{ "pile_set_name": "DM Mathematics" }
*q - 43 for q. -12 Solve z + 2*o + 15777 = 15788, 5*z - 22 = o for z. 5 Solve -7*o - 33*s - 31 = -35*s, -3*o = -s + 14 for o. -3 Solve 3*z + 42 = 12*k, -9 + 31 = z + 5*k for z. 2 Solve v = -4*f + 22, -f + 153 = 5*v + 138 for v. 2 Solve -5*l + 4*i = -18, 4*l + 12 = 15*i - 25*i for l. 2 Solve 4*z - 214*s + 211*s + 47 = 0, 5*s = -5*z + 20 for z. -5 Solve -48 = -5*l + 4*d, -3*d + 4*d - 21*d - 40 = 0 for l. 8 Solve -4*t - 81 = 3*v, v = 11*t - 6*t - 8 for t. -3 Solve 3*p + 114 = -2*w + 137, 2*w - 2*p + 2 = 0 for w. 4 Solve 2*j + 5 = 219*c - 214*c, 0 = 3*j - 4*c + 4 for j. 0 Solve 5*b - w = 49, 3*b - 3*w - 7634 = -7607 for b. 10 Solve 0 = 1518*j - 1523*j - p - 14, 2*j = p - 7 for j. -3 Solve 4*c = 53*u - 49*u + 28, 25 = -7*u - c for u. -4 Solve -5*g - 49 = -4*j, 646 = 2*j + 2*g + 644 for j. 6 Solve -14*m = n - 36, -2*n - 66 + 39 = -5*m for m. 3 Solve -5*t + p - 10 = 0, 3*t = 5*p + 141 - 125 for t. -3 Solve -g - 3*u - 213 = -205, 2*g + 16 = -3*u for g. -8 Solve -10*r - 9 = -3*p - 7*r, -48 = -8*p - 4*r for p. 5 Solve -3*s - 36 + 9 = 5*l, -5*l = s + 19 for s. -4 Solve 91*d - 2*n = 92*d - 7, 0 = -d - 3*n + 9 for d. 3 Solve 3*f + 4*s + 280 = 297, -5*f - 3*s = 1 for f. -5 Solve -16 = 2*c + 2*y, -68*c + 23*c + 10 = -40*c - 5*y for c. -3 Solve 5*y + 3*y + 17 = -3*k, -4*y = -4*k + 36 for k. 5 Solve 2*k + 2*j + 12 = 0, 2320*j = 3*k + 2315*j + 10 for k. -5 Solve -5*g - 22*t + 39 = 0, 1 = -131*g + 252*g - 124*g - t for g. -1 Solve 7*j = -4*i - 1, 77 - 24 = i - 16*j for i. 5 Solve 20871*u - 20864*u - 19 = 4*n, 9 = -3*u - 4*n for u. 1 Solve 4*t = 5*i - 25, -122*t - 23 = -3*i - 118*t for i. 1 Solve -3*w = 6, -5*b = -11*w + 12*w + 22 for b. -4 Solve 108*y - 109*y = -j + 13, -2*j = 2*y + 10 for j. 4 Solve -4*y + 7 = -4*u + 15, 3*y = -5*u + 50 for u. 7 Solve f + 22606 - 22617 = -4*r, 0 = 5*r + 5*f + 5 for r. 4 Solve -5*g = -5*u + 5, -4*u - 1165*g + 5 = -1168*g for u. 2 Solve 130*d - 5*o = 129*d + 19, 4*o = d - 16 for d. 4 Solve -13354 + 13341 = -d - 2*k, -5*k = -3*d + 28 for d. 11 Solve 5*z = -4*n + 30, -45*z = -4*n - 46*z + 22 for n. 5 Solve 2*j - 226 = -4*r - 238, j + 1 = -r for j. 4 Solve 0 = 3*h + 27, -1741*h + 1736*h = -4*v + 25 for v. -5 Solve -494*x + 2*t = -496*x - 12, 3*x = 3*t - 30 for x. -8 Solve -2*d + 4 = -411*k + 415*k, -10*k + 34 = -d for d. -4 Solve -3*l - 2 = -5*n, -375408*n = -375403*n - 4*l + 4 for n. 4 Solve 5*t - 99*a = -86*a + 19, 0 = -6*t - 2*a - 30 for t. -4 Solve 4*m + 44 = 0, -y + 65*m + 279 = -434 for y. -2 Solve 4*x - 17 = r, 4*r = 1380*x - 1375*x - 13 for r. 3 Solve -7*b + 8*b + 2*f - 5 = 6*f, -3*f - 20 = -4*b for b. 5 Solve 3*n + 5 = -2*m, 3*n + 17 = -515*m + 510*m for m. -4 Solve -58 = 36*m - 31*m + 3*f, 3*f = 4*m + 68 for m. -14 Solve z = -3*v + 14, z + 5*v - 50 + 26 = 0 for z. -1 Solve -8*g = q + 88, 5*q + g + 32 = 21 for q. 0 Solve p + 4*m + 64 = 67, 5*p - 3*m = -8 for p. -1 Solve 5*i + 4*d + 16 = 0, -6*d - 12 = -3*i - 3*d for i. 0 Solve 0 = 2*b, -r + 2*b - 464 + 462 = 0 for r. -2 Solve 229 = -4*n + 4*c + 197, -2*n - 3*c = -9 for n. -3 Solve 0 = 4*u + s - 30, -101*u + 3*s + 22 = -99*u for u. 8 Solve 73 - 90 = 3*y - 5*z, 4*y = z for y. 1 Solve 3*b + 17 = i - 4, 4*i = 3*b + 21 for i. 0 Solve -2*r = 4*v - 8, 81*v = 83*v - r + 8 for v. -1 Solve -3*c + 941*y - 940*y - 25 = 0, -3*y = c - 25 for c. -5 Solve 2*n - 2*a = 2, -n + 65 - 60 = -3*a for n. -1 Solve -224*d + 229*d - 11 = 2*t, 11 = t + 3*d for t. 2 Solve 0 = -3*p + 429*m - 428*m - 11, -4*m + 18 = p for p. -2 Solve -2*r + 2*x - 2 = 0, 6*r - 10 = 9*r + r + 2*x for r. -2 Solve -4*p = 4*z - 32, 4*p - 9*z - 5 + 12 = 0 for p. 5 Solve -2*p + 1 = -x, 2*p - 25*x = -22*x - 9 for p. 3 Solve 0 = w + 4*x + 4, 5 = -811*w + 806*w - 5*x for w. 0 Solve -4*x + 3 = -5*u + 48, -4*x = u + 15 for x. -5 Solve 33*p = 36*p - 2*m - 12, 5*p + 5*m = 45 for p. 6 Solve 88*t - 93*t = -5*v + 5, 5*t = -5*v + 35 for v. 4 Solve -164*v - 2*a = -163*v - 4, 2*a = -5*v + 4 for v. 0 Solve s = -2*d + 6 + 19, -d = -0*d + 3*s for d. 15 Solve -11079*t + 11081*t = -10, 3*u = -5*t - 40 for u. -5 Solve -r = 0, 3*y - y - 26*r = 34*r - 64*r - 6 for y. -3 Solve 4*o = 2*b - 20, 3*o + 9755 = 2*b + 9738 for b. 4 Solve 0 = 54*t - 57*t + 6, 4*j + 3*t + 6 = 0 for j. -3 Solve 4*b - 13 = 3*t, 141*b + 3*t - 243 = 324 for b. 4 Solve 117*n - 116*n = -3*u - 33, -1 = -3*n + u for n. -3 Solve 3*h = 4637*p - 4634*p + 18, -5*p = 5*h - 20 for h. 5 Solve -41*g - 5*h + 29 = -40*g, 0 = -g + 6*h - 37 for g. -1 Solve -72 = -3*t - 60, -4*t + 46 = -5*h for h. -6 Solve -p + 28*w = 26*w - 12, -w = 3*p - 8 for p. 4 Solve -12*r + 4*r = -2*w + 42, 290*r - 6 = -2*w + 286*r for w. 9 Solve -3*h = 15, 31 - 55 = -2*z + 4*h for z. 2 Solve 0 = 75*r - 77*r + 2*d + 2, 0 = -r + 4*d - 2 for r. 2 Solve -2*w + 24 = -4*n, 1371*w - 1373*w + 24 = n for n. 0 Solve 3*c + 51*w + 12 = 46*w, 4*w + 177 = -21*c for c. -9 Solve 5 = -j, 9*n - j = -51 + 101 for n. 5 Solve -3*z + 69 = -3*j, 2*j + z = 1178 - 1149 for j. 2 Solve 0 = 4*o - 28*f + 30*f + 2, 2*o + 0*f - f = 5 for o. 1 Solve m + 341*y = 336*y + 7, -3*y = -13*m - 45 for m. -3 Solve 481*m - 7 = 478*m - 2*g, 2*m + 3*g = -2 for m. 5 Solve -2*r - 84*d + 79*d = -63, 3*r - 2*d = 66 for r. 24 Solve 5*z - 1044*s - 18 = -1048*s, -4*z - 3*s = -13 for z. -2 Solve 13 = 5*s - 2*i, -4*i + 67 - 33 = 2*s for s. 5 Solve -3*c + 45 = 5*k + 61, 2*k - 2 = 0 for c. -7 Solve -4*p - 69*m + 68*m + 15 = 0, 5*p + 2*m = 18 for p. 4 Solve 2*c + 12 = -3*l, -c = 2*l + 6 + 3 for l. -6 Solve 7*s + 352*l = 5*s + 354*l - 8, -2*s - 3*l = -3*s for s. -6 Solve 4*h + 8 = 2*w, 5*h - 10*w + 11*w - 4 = 0 for h. 0 Solve -2*s - 2*g - 8 = 0, 26*s - 16 = 31*s + 4*g for s. 0 Solve -2*v + 24 = -4*p, -5*v + 7 = 5*p + 37 for p. -6 Solve 0*a - 5*g - 1 = -2*a, 2*a = 2*g - 8 for a. -7 Solve -4*k + 5*i - 3 = 0, -69*i + 64*i = k - 18 for k. 3 Solve 16*s - 13*s = -8*r - 26, -5*s = -4*r - 26 for r. -4 Solve 643*m - 4*h - 44 = 638*m, -3*m + 42 = -5*h for m. 4 Solve 16*t - 19*t = 12, -2*l + 14 = -2*t for l. 3 Solve 3*d - 6 - 18 = 3*g, -3*d + 21 = -2*g for d. 5 Solve 0 = -w - 4*q + 85, -3015 + 3219 = -2*w + 9*q for w. -3 Solve 5*x - 22 = -w, -2*w + 3*x - 118 = -110 for w. 2 Solve -5*l = 0, 20232*g + 4*l + 5 = 20227*g for g. -1 Solve -8*z + 2*t - 6*t + 48 = 0, 0 = -z - t + 8 for z. 4 Solve -p + 63*f - 2 = 68*f, -2*p + 3*f - 4 = 0 for p. -2 Solve -4*w = 5*m - 16, 79*w - 74*w = 13*m - 36 - 21 for m. 4 Solve 0 = j + 2*m + 5, 215 = 4*j + 5*m + 235 for j. -5 Solve -14126*b + 14128*b + 5*p = 12, -2*b + 4*p - 6 = 0 for b. 1 Solve -42 = 3*n + 2*c - 45, 0 = 2*n - 5*c - 21 for n. 3 Solve 8*j + 68 = 3*g, -3*g = j + 349 - 354 for j. -7 Solve -18*q + 19*q = -1, 2*q = 3*t + 1 for t. -1 Solve 5*x = -2*o - 3, -2*o + 39 = -2*x + 35 for o. 1 Solve 0*a - 5*h = 2*a - 33, 17*h - 69 = 8*a - 4*a for a. 4 Solve a + 15 = -5*z, 36*z - 18 = -a + 42*z for a. 0 Solve -y = -2*q + 2, -2*q - 33*y + 41*y = -2 for q. 1 Solve 0 = -2*k - 5*z - 30, -3*k - 21263*z = -21260*z + 27 for k. -5 Solve -24 = -38*z + 33*z + 2*w, 0 = -w - 2 for z. 4 Solve -z + p + 1 = 0, 173*z = 171*z + 3*p + 5 for z. -2 Solve -2*s - 5*l - 16 = 0, -82*s - 2*l = -81*s + 7 for s. -3 Solve 2*d - 5*z = 34, -4*d - 86*z + 32 = -90*z for d. 2 Solve d + 6585*q - 6587*q = -14, d + 4*q + 14 = 0 for d. -14 Solve 2*a = 2*c + 6, 7903*c + 35 = -5*a + 7898*c for a. -2 Solve 0 = 5*i + 2*l + 20, 123 = -24*l + 3 for i. -2 Solve 2*c + 72 = 4*x + 18, 3*x + 243 = -12*c for x. 3 Solve -2447*k + 2451*k - 37 = -5*j, 3*j = 13*k - 24 for k. 3 Solve 0 = 2*p - 12*h + 32, 4*h - 8*h = p - 4 for p. -4 Solve 3*p = 5*d + 2, -296*d = -297*d + 2*p + 1 for d. -1 Solve 0 = 4*q - 2*f + 80 - 46, 7*f - 145 = q for q. 2 Solve -6*k + 42*b - 46*b - 38 = 0, -2*k = 4*b + 18 for k. -5 Solve 9*k - n - 38 = 0, -2*k + 6 = -n + 2*n for k. 4 Solve -76*o - 37 = -79*o - 4*j, -4*o - 3*j = -40 for o. 7 Solve -2*r + 25 = s, 1 = 5*s + 6 for r. 13 Solve 0 = 3*j - 4*h + 1277 - 1249, -12 = j - 2*h for j. -4 Solve 0 = -5*v - 4*b - 18, 0 = -16*v + 20*v - 3*b - 29 for v. 2 Solve -20 = 2*l + 5*y, -2*l + 3*y + 1232 = 1220 for l. 0 Solve l + 246 - 247 = -3*j, -4*l + 4 = -10*j for l. 1 Solve 0 = 15*u + 3*a - 81, 0 = -715*u + 712*u - a + 21 for u. 3 Solve 3*w - b = -14, -2*w - 590*b + 589*b - 11 = 0 for w. -5 Solve -6*s = 4*l + 10, -3*l - 872 = -s - 892 for s. -5 Solve 2*h + 16 = -3*w, 4*h - 4*w = -109 + 137 for
{ "pile_set_name": "DM Mathematics" }
. Are i and -4 equal? False Let d(g) = -g**3 + 2*g**2 + 3*g - 3. Let m be d(2). Suppose 3*t - 30 = -5*z + 8*t, -m*z = 5*t - 10. Is -11 smaller than z? True Let y = -39990 + 160735/4. Let p = 1145/4 - y. Which is bigger: p or 92? p Let f = 869/2 + -435. Which is greater: 5288 or f? 5288 Let t = 713 + -1349. Let j = 635.6 + t. Which is smaller: j or -68? -68 Let a be 33/(-2) + 120/(-80). Let t(o) = -o**2 - 20*o - 42. Let x be t(a). Is x at least -4? False Let g = -1.66 + 2.74. Let c = g + -1.28. Is 14 less than c? False Suppose 27 = 2*s + s. Suppose -2*f + 81 - s = 0. Let o = -31 + f. Is o greater than 2? True Let w = -76112 - -71925817/945. Is -1 less than w? True Let c = 54 - 56. Let y = -28.23 - -0.23. Let d = y - -29.8. Which is bigger: d or c? d Let t = 22901/275 + -953/11. Is t > -4? True Suppose 40 = -3*y - y. Let a = -3 - y. Suppose 3*j + 3*q - 26 = q, -5*q - 20 = -j. Which is smaller: j or a? a Let s = 3557/4272 + 1/1424. Let n = 5.241 + 0.059. Let l = n - 5. Which is greater: l or s? s Let d(y) be the second derivative of -y**5/20 + y**4/6 + 3*y**3/2 - 47*y. Let f be d(4). Suppose 6 = f*u - 6. Which is greater: -5/11 or u? u Let s = -0.1 + -1.9. Let q = -1.5 - s. Let c = -1.865 - -3.865. Is c less than q? False Let a = 101769154/3051 + -33356. Which is smaller: a or 0? a Let g = 2865315/11914 - -1/5957. Let u(j) = 238*j + 27611. Let x be u(-115). Is g greater than or equal to x? False Let j be ((-8636)/136)/((-1)/174). Is j less than or equal to 11048? False Let y = -208.986 + 210. Let b = 1.1 - y. Let o = b - 34.086. Which is smaller: 1 or o? o Let t = -20 + 1. Let a = t + 32. Suppose -h = a + 1. Which is greater: h or -13? -13 Let w = 5.4881 + -0.0681. Let l = 36.58 - 37. Let g = w + l. Which is bigger: 1 or g? g Let g be (-2)/(-4)*(-188)/(-6). Suppose -296 = 114*s + 117*s - 3992. Which is smaller: s or g? g Let c(n) = -130*n - 20. Let u be c(-3). Is 370 at least as big as u? True Suppose 0 = -5*f - 26 - 4. Let b be 486/6 + 0 + f. Is b equal to 74? False Let r be (-12)/56 - (-6)/(-21). Let l = -55 + 59. Suppose l*c = -f - 17, -5*f + 18 = 43. Which is bigger: r or c? r Let s = 40 - 23. Let b = 0.147 - -66.853. Let u = 69 - b. Does s = u? False Let c be (-22*(1 - 2)/(-2))/(3/(-291)). Are 1072 and c nonequal? True Let m = -91 - -219. Let b = 568 - 439. Let n = b - m. Is 33 greater than or equal to n? True Let s = -1.17 - 58.83. Let n = s + 107. Let k = n - 48. Do k and 2/3 have different values? True Let l = 207.4 - 206. Let t = -4.4 + l. Which is smaller: -0.1 or t? t Suppose -3*r - 4*j + 19685 = 0, -3*j = -8*r + 7*r + 6553. Is r less than or equal to 6560? True Let f = -102 - -151. Let r = 48 - f. Let p be 4/(-10)*20/(-128). Which is greater: r or p? p Let b be (-26)/(-30) - 8/(-60). Let v = -7116 - -206365/29. Is v at most b? True Let s = -160 + -85. Let x = s + 245.9. Let y = 0.03 + -0.33. Is x greater than y? True Let a = -2148 - -3855. Which is smaller: a or 1708? a Let y = -2.36 + -5.94. Let o = -1.34 + 3.34. Which is bigger: o or y? o Suppose 0 = 2*q - 3*f + 6, 10*q - 3*f = 7*q - 6. Is q <= 5/124? True Let j be 37/((-1)/(-4) - 18/64). Which is bigger: j or -1182? -1182 Let c(o) = o - 6. Let a(j) = -j**2 + 6*j - 2. Let m be a(4). Let z be c(m). Is z greater than 0? False Let u = -100 + 55. Let l be 1*(u/4 - 4/(-16)). Suppose 45 = v - 6*v. Is v less than l? False Suppose -3*r - 393 = 42. Let m = -144 - r. Which is bigger: 5/4 or m? 5/4 Let t = -0.06 - -39.06. Let q = 229 + -189. Let z = t - q. Is 67 greater than or equal to z? True Suppose -68*o + 2440 = -25576. Are o and 412 equal? True Let g = -3313 - -3289. Do g and -111 have different values? True Suppose -3*j + 8 - 2 = 0. Suppose 265*t - 263*t - 22 = 0. Suppose -3 = -5*d + r, 1 = -t*d + 16*d - 2*r. Which is greater: j or d? j Suppose -u = 2*u + a + 111, 4*u + 2*a + 150 = 0. Suppose -f = 2*n + 77, -12*f = 5*n - 9*f + 193. Let g = u - n. Are g and 2 equal? True Suppose -20 = -5*m, -3*k - m + 56 = m. Let u = 91 - -413. Let j be 6/(-21)*u/(-9). Is k less than j? False Let p be 12/18 + (-366)/9. Let w = p + 41. Let x = w + -7. Is -38/7 greater than x? True Suppose 88*i - 240*i = -77*i - 82*i. Which is smaller: -3093 or i? -3093 Let b be 34/391 - 89836/(-23). Suppose -b = -234*a + 216*a. Does a = 215? False Suppose -5*k - 40 = -10. Let o be ((-126)/15)/k*6/(-7). Which is bigger: -2 or o? o Let i = -50 - -50. Let o = i + 0.112. Let r = 0.072 - o. Which is greater: r or 2? 2 Suppose 0 = -3*a - 2*g + 10, 4*g + 0 = -4. Suppose a*i = -0*i + 2*s + 2, i - 4*s = -3. Which is bigger: i or -14/87? i Let o(d) = -d**3 - 6*d**2 - 3*d + 10. Let w be o(-5). Suppose -4*x - 5*a = 1, -2*x - 2*x + 2*a + 34 = w. Suppose 7 - 1 = x*h. Is 1/20 at least as big as h? False Let l be (-238502)/32 - 531/(-2832). Which is smaller: l or 1? l Let t(o) = 4*o + 20. Suppose -102*v + 50 = -97*v. Suppose 5*w = -z - 4*z - v, 0 = z - 3. Let f be t(w). Is -2/47 >= f? False Let h = -104 + 134. Suppose -3*y = 11*n - 10*n - 17, 2*n = -4*y + h. Suppose -5*j - n = 4. Which is smaller: j or -24/13? j Let x = -2704 - -137926/51. Which is smaller: x or -3? -3 Let g = -4853/6 + 6619489/8184. Which is greater: g or 0? 0 Let g(v) be the first derivative of v**4/24 - 4*v**3/3 - 8*v**2 + 14. Let y(w) be the second derivative of g(w). Let a be y(9). Which is bigger: 3/8 or a? a Let z be (35 + -100)/((-6)/42). Which is bigger: z or 457? 457 Let d be (-530)/4*(0 + 1)/(10/40). Let i = -702 + 172. Is i equal to d? True Let f be -3 - -2 - (-342)/340. Let d = 0.249 - 0.349. Which is smaller: d or f? d Let r be -371 + (-8)/4 + 10 + -3. Let a = r + 349. Is a less than or equal to -24? False Let h be ((-912)/9 - 4)/((-3)/(18/28)). Is 2 less than h? True Let p = 9235 - 1182093/128. Does p = 1? False Let a = 110 + 212. Let b be a + 3*(-2)/6. Let g be -5 + 0 - b/(-65). Is 1 greater than or equal to g? True Let u = 2.07 + -0.07. Let o = 1.542 - 1.432. Is o <= u? True Let o = -37620551/522750 - 4/87125. Let h = o + 72. Let w = -2.371 - -2.371. Is w less than or equal to h? True Let v(q) = 5*q - 79. Let w be v(16). Is w greater than -6/563? True Suppose -39*o + 37*o - 39864 = -35*o. Are o and -0.1 nonequal? True Let o = -20683 - -20683. Is o greater than 1/8789? False Let x be -1*(-35)/70*(0 + 0). Suppose x = -8*w - 97 - 215. Is w >= -38? False Suppose -309 + 24 = 15*p. Let c(r) = r**2 + 11*r - 141. Let g be c(p). Are 88/9 and g nonequal? True Suppose 194 + 43 = 102*b + 33. Are b and 25/9 non-equal? True Suppose -2*p + 5*p + 549 = 0. Let a be (2/3)/((-2)/p). Suppose -133 - 108 = -4*t - 3*r, 0 = t + 4*r - 57. Is t <= a? True Let k be ((-64)/(-20))/(-4)*20/(-4). Suppose -2*x = -0 + k. Is -2 != x? False Suppose 0 = 4*v + 78*j - 75*j - 4, 5 = 5*v - 3*j. Which is greater: 1/30996 or v? v Let n = -4479/4 + 4629/4. Which is greater: n or 38? 38 Let y = -12 - -12.2. Let l = -4218 + 4242.07. Let n = -24 + l. Which is greater: n or y? y Suppose -524 = 1305*b - 1309*b - 4*y, b + 2*y = 128. Which is bigger: b or 123? b Let i = -84 + 88. Suppose -i*o = 3*c - 10, o + 45 = 3*c + c. Let x be c/(-30) + (-22)/(-3) + 0. Do x and 11/2 have different values? True Suppose q = -2*d + 3*d - 182, 0 = d + 5*q - 176. Suppose -9*p = -d - 278. Is 52 at most as big as p? False Let a = 204 - 183. Let j(d) = d**3 - 20*d**2 - 24*d - 43. Let z be j(a). Is -107 at most as big as z? True Suppose 0 = 3*p - 3*o + 18, -2*p + 3*o - 8*o + 37 = 0. Is 5/3411 less than or equal to p? True Let r = -40 + 42. Let f be (r - -4) + ((-2)/2 - -4). Suppose 0 = m, 6 = -5*b - 4*m - f. Is -3/2 != b? True Let d be ((-57)/(-77))/1 - (-312)/(-416). Which is greater: d or 0? 0 Let p be (44/7260*55)/(0 - 2/13218). Is p at most -2202? True Suppose -4*x + 65 - 49 = 0. Suppose -a - 2*n + 8 = 0, 4*a + x*n = 7*n - 12. Which is smaller: 1/356 or a? a Let h = -1 - 0. Suppose 0 = -4*q - 4*t - 191 - 373, 2*t + 568 = -4*q. Which is greater: q or h? h Let o be 1/4*(-11)/11 + 14/56. Let z be 543/(-537) - (-2)/2. Which is greater: z or o? o Let u(s) = -s**2 + 36*s + 13. Let b be u(-35). Let r be ((-2)/3)/(16/b). Which is bigger: 101 or r? r Suppose -m = -0*m - 4, -5*x - 91 = -4*m. Let i = 11 + 4. Let g = i + x. Is g equal to 1/20? False Let k = -7403 + 10925. Is k equal to 3522? True Let u = 96 + -161. Let a be 772
{ "pile_set_name": "DM Mathematics" }
6 6 1 + (0 - -1) + -200 + 203 5 4 - ((-2 - -18) + -8) -4 Calculate -1 + -5 + 3 - -5 - -5. 7 Evaluate 0 - -13 - (208 + -194). -1 8 + -2 - (11 + -8) 3 What is the value of -4 - 0 - (-2 + -3 + -1)? 2 Evaluate -1 + 0 - (10 - 11). 0 What is (-6 + 7 - 7) + 1? -5 What is (-1 - -6) + -3 - (19 - 12)? -5 What is 3 + 1 - (28 - 30)? 6 Evaluate 486 + -480 - (1 - (1 - 1)). 5 What is the value of 3 + (-1 - -2 - 5) + 1? 0 What is the value of 3 - (27 - 17 - (1 + 0))? -6 Calculate 3 + -3 + 0 + 4. 4 Evaluate 1 + -7 + 4 + 7 + 0. 5 Calculate 9 - ((12 - 5) + 1). 1 What is the value of 10 + -7 + -4 - (-1 - 3)? 3 Calculate -8 - ((1 - 8) + 0). -1 What is the value of (-63 - -61) + -1 + 1 + 0? -2 What is 3 - (2 + -5 - -5)? 1 -11 + 1 + 9 + (3 - 5) -3 Calculate (-2 + -3 - -9) + 2 + -2. 4 What is (-8 - -4) + -2 + 4? -2 Evaluate (-11 - -6) + 10 + -9. -4 What is the value of 2 - 5 - (19 + -21)? -1 What is 0 + (3 - 16 - -7)? -6 Calculate (-2 + -1 - -5) + -2 + -5. -5 0 - (2 - 2) - -1 1 Calculate (-1 - 6) + (-2 - 11 - -9). -11 Calculate 2 - (1 - 0 - 5) - 6. 0 What is the value of 118 + -112 + -1 + -9 + -2? -6 -5 + 8 - (1 + 4) -2 What is the value of -1 - (6 + -6 + 1)? -2 Evaluate -1 - (0 + 4 + -4). -1 Calculate -1 + 1 - (-15 - -4 - -14). -3 What is the value of 0 + (2 - 3) + -4? -5 Evaluate (3 - 1) + 18 + -16. 4 What is -3 + 1 + -4 + 4 + 1? -1 -1 + 6 + (-8 - (5 + 0)) -8 5 + (3 - (8 + 4)) + 2 -2 Evaluate -18 + 13 + -3 - -14. 6 Evaluate -4 + (7 - 5) - (0 + 2). -4 What is 3 - ((-2 - (0 - -1)) + 2)? 4 What is the value of 0 + 3 + 1 + -1? 3 What is the value of -6 + 3 + 4 + 0? 1 What is 2 - (3 - (-2 + 0)) - -3? 0 What is the value of -2 + 1 + -7 - (-19 + 15)? -4 What is -4 + 6 + -3 + 4 - 3? 0 Evaluate 1 + -9 - (7 + -11) - -5. 1 -3 + 13 + 10 + -18 2 Evaluate (0 - -1) + -6 + 2. -3 Calculate -2 - -1 - (-15 - -16). -2 (-2 + 2 - 5) + (-3 - -5) -3 What is the value of (3 - -1) + -15 + 11 + 5? 5 Evaluate (8 - 5) + (2 + 1 - 2). 4 What is (-39 - -26) + (2 - (-5 - -1))? -7 -3 + 6 + -5 - -3 - 1 0 What is the value of 0 + 1 + (13 - 16)? -2 Evaluate 6 - (-5 - (-5 + -2)). 4 What is the value of 3 + (-2 - 1) + -1? -1 What is 3 + (1 + -3 - -3) + -9? -5 What is (-3 - -9) + -10 + -1? -5 What is -1 - ((-5 - 0) + -3 + 14)? -7 What is -1 - (-2 - (-2 + 1) - 0)? 0 Evaluate 6 + -12 + 4 - (1 - 0). -3 Evaluate -28 + 26 - (2 - 15). 11 What is -4 + 3 + (-6 - (-4 - 0))? -3 What is the value of -3 + 1 + 0 + -1 + 5? 2 Evaluate 11 + -8 + -12 + 0. -9 Evaluate -3 + 11 + -7 + 2. 3 What is the value of 8 + (-17 - (-4 - 7))? 2 What is 6 + (7 - (-2 - -11)) + -9? -5 What is 1 + 0 - (-5 - -3)? 3 What is the value of (-3 - -6) + (-4 - -4 - 7)? -4 What is 3 - (4 + -1 + -6 + 1)? 5 0 + 2 - (2 - (-1 - 2)) -3 What is 2 + (1 - 11) + 2 + 2? -4 Calculate -3 + (0 - (-2 - -2) - -7). 4 What is the value of 11 + 8 + (-15 - -1)? 5 What is -8 + -3 + 7 + 7? 3 What is 0 - -1 - (5 - (7 + 0))? 3 What is -5 + (7 - -2 - -3)? 7 0 + 1 + 0 + (-32 - -31) 0 -10 + 8 + (3 - 5 - 0) -4 What is -5 + (-19 + 12 - -14)? 2 Evaluate 9 - (1 + (4 - (-2 + 3))). 5 What is 2 - (2 + -9 + 4)? 5 What is -17 + (13 - 8) - -16? 4 What is -6 + 4 - -1 - -1 - -4? 4 What is the value of 1 + 14 - (-46 + 55)? 6 Evaluate (1 - -3 - 13) + 1 + 5. -3 (8 + -2 - 3) + -6 -3 Evaluate -2 + 3 + (-5 - 1). -5 Evaluate -7 - (1 - 2 - (6 - 3)). -3 Evaluate -9 + 6 - (-3 - -1). -1 Evaluate (-15 - -5) + 1 + 10. 1 -2 - -10 - ((6 - 10) + 16) -4 What is the value of -3 + 2 + 0 + 1 + -1? -1 8 + (6 - (4 + 12 + -4)) 2 What is -1 - (-10 - (7 + -10))? 6 6 - (-1 - -1 - (-9 - -6)) 3 Evaluate 1 - (2 - (3 + 2)). 4 4 + (1 - 1) + 13 + -13 4 Calculate 3 + -2 + (3 - 3) + 1. 2 What is 79 - 72 - (4 + 0)? 3 (0 - (3 - 4) - -3) + -2 2 What is the value of -3 + 12 + (-1 - 5)? 3 (-1 - (-1 + 1)) + 11 + -8 2 Evaluate -2 - (0 + (3 - 3) + -1). -1 Calculate -8 + -1 + (9 + -15 - -7). -8 Evaluate (-13 - (4 + -16)) + (7 - 0). 6 What is 7 + -7 + 7 + -7? 0 What is 1 - (14 - (3 - -5))? -5 Calculate -15 + 0 + 10 - -12. 7 24 + -11 + -2 + -9 2 19 + -6 - (1 - -14) -2 -7 + -2 - (-48 - -40) -1 What is the value of (-6 - (-4 + -4) - 0) + -5? -3 1 + -10 + (1 + 11 - 8) -5 (4 - (-2 - -1)) + -7 -2 What is 8 - (0 - -4) - 6? -2 Evaluate 0 + -3 - (9 + -12 + 5). -5 Evaluate -11 + 15 + -6 - (4 + -1). -5 What is the value of -1 + (2 + -8 - 3) + 5? -5 What is the value of (3 - -5 - (-5 - -6)) + -2? 5 What is -2 + (1 - 0 - (-2 - -2))? -1 Evaluate -2 - ((-1 - (18 - 6)) + 7). 4 1 + -1 - 4 - (-725 - -726) -5 Evaluate -22 - -21 - (-4 + -1). 4 Calculate 9 + 2 + -20 - -20. 11 Evaluate 8 - 11 - (2 + -5). 0 Evaluate 0 - 0 - (-40 - -37). 3 -9 - -4 - (-11 + 1) 5 What is (11 + (-7 - -2) - 3) + -2? 1 Calculate 3 + -1 + (14 - 20) + 7. 3 What is -4 - 0 - -4 - (6 - 7)? 1 5 - (2 + -1 + 7) -3 What is the value of 13 + -10 + 4 - (-1 - -5)? 3 What is (1 - (3 + 0 + 5)) + 4? -3 What is -3 + 5 + (-5 - 3)? -6 What is (3 - -1) + (3 - (3 + 7))? -3 Evaluate 7 + 1 + -2 + 2 + -2. 6 1 + 3 - ((-6 - -3) + 4) 3 What is 3 - (3 + -1 - (2 + -6))? -3 What is (-8 - (-5 + (-1 - -2))) + 6? 2 0 - 3 - -1 - (1 - -2) -5 What is 2 + (-4 - (1 - 5))? 2 What is -2 + (5 - 8 - -2)? -3 What is the value of (0 - -2) + -6 + 4? 0 Calculate 2 + (10 - 3) + -5. 4 Calculate -13 - (1 - (-8 + 18)). -4 Calculate -30 + 37 + (3 - (8 + 0)). 2 Calculate (9 - (3 - -5)) + (2 - 5). -2 Calculate -5 + 1 + 1 + 5. 2 Evaluate 4 - -1 - (-21 + 33). -7 -1 - 6 - (-12 + 7) - -4 2 What is the value of -10 + 3 + 8 + -3? -2 -1 - 2 - (-3 + 4 - 2) -2 What is the value of (9 - 9) + 1 - -2? 3 Evaluate (87 - 81) + (2 + -11 - -1). -2 (-2 + -2 - -6) + 0 2 What is -8 + 8 + 10 + -6? 4 Calculate 4 + -2 + (0 - 3). -1 What is 3 + (2 - 5 - 3)? -3 Evaluate -25 + 20 + (4 - 1). -2 Calculate -2 - (-11 + 20 - 15). 4 -5 + 2 + 11 + -16 -8 Calculate 5 + -6 - (-2 - 1 - -3). -1 What is the value of 2 + 4 + -1 + 4 + -4? 5 Evaluate -6 + (-2 - (-6 - 0) - 0). -2 What is 5 + (-2 - 0) + (-4 - -5)? 4 What is the value of -4 + 6 + 1 + -6? -3 (5 - 5) + -1 - 6 -7 Evaluate 7 + (3 - 8) + -1. 1 What is -7 - ((2 - 13) + -3)? 7 Calculate 4 + -9 + 5 - (-2 + -2). 4 What is the value of 14 + -6 + -22 + 8? -6 What is -9 + 11 + (-8 - (1 + 0))? -7 Evaluate -2 - (-1 + 5 + -2). -4 What is the value of 5 + (-5 - -1) + 4? 5 Evaluate (5 - 11) + -1 + 4. -3 Calculate -18 + (7 - -5 - 3). -9 Evaluate -2 + 2 - -1 - (-2 + -2). 5 What is the value of -3 - (-13 + 6 + 1 + 0)? 3 -12 + (2 - -5 - -4) -1 -3 - (3 + -17 + 8) - -7 10 Calculate (-1 + -2 - (-6 - -2)) + 0. 1 What is 3 + (9 - 5 - 1) - 3? 3 Evaluate 8 - (4 - (-4 - -8)). 8 What is the value of (2 - 4) + (3 - 2 - 0)? -1 Calculate -1 + (3 + -3 + 2 - -2). 3 Calculate -16 - -21 - (-1 - -4). 2 What is the value of -4 - (5 + -1) - (-7 - -3)? -4 Evaluate -6 + -5 + 5 + 5. -1 Calculate 18 + -8 - 7 - -6. 9 Evaluate 1 + 6 + 5 + -3 - 5. 4 2 + (0 - (1 - 0)) 1 What is the value of -11 - -3 - (2 + 0 - 3)? -7 Evaluate 6 + (-15 - -9) + (-5 - 2). -7 What is 4 + -1 + -2 + 1 + 0? 2 0 - (0 + -1 + -27 + 30) -2 Evaluate 1 - (3 - (0 + 0 + 0)). -2 Evaluate 5 + 4 + -8 + 3. 4 (14 - 2 - -8) + -11 9 Calculate (1 - 5) + (0 - -3). -1 4 + -8 + (7 - 3) 0 What is -3 + 3 + -4 - (5 + -3)? -6 What is the value of 4 + (-2 + 0 - 1) - -4? 5 What is the value of -1 + 1 + -3 - (-1 - -3)? -5 Evaluate 14 + -1 - -1 - 10. 4 Calculate (-3 + 5 - -5) + -4. 3 -3 - (-2 + (-1 - 1)) 1 Evaluate (2 - 6) + 0 + -1 - -11. 6 What is (-2 - 3) + -5 + 8? -2 What is 5 + (-2 - 1) + -6 + 1? -3 Evaluate -9 + 10 - 3 - -10. 8 Evaluate -1 - ((0 - 0) + -4). 3 Evaluate -9 + 3 + 3 + 1 + 0. -2 What is 9 + -2 + -2 + -5? 0 Evaluate 3 + (2 + -3 - 4). -2 -4 - (-11 - -5 - (1 + -6)) -3 Calculate 3 + -9 - (-8 - (-1 - 4)). -3 Evaluate (0 + -8 - (-5 - 0)) + -1. -4 What is 8 - (-9 - -15) - -4? 6 Calculate -7 - (-12 - (0 + -4)). 1 Calculate -4 + (-3 - (-9 + 3)). -1 What is the value of -3 - (-1 - (4 - 8))? -6 Calculate -5 + 6 + -8 + 2 - 1. -6 Evaluate 8 - ((1 - 2) + 4 + 0). 5 Evaluate -48 - -46 - ((0 - -3) + 1). -6 Calculate (4 + -2 - 1) + -1. 0 Calculate (-4 - 1) + -7 + (-6 - -14). -4 Evaluate 1 + 4 - (-4 + -3 - -9). 3 What is the value of (8 - 7 - -6) + -10? -3 Evaluate 0 + -2 - (-16 + 15). -1 Evaluate 2 - (13 + 1) - -4. -8 0 - (-5 + 6 + -3 + 2) 0 (-5 - (4 - (5 + -3))) + 4 -3 Evaluate -1 - (-1 + 1 - 7). 6 What is -3 + 0 - (4 - 7 - -2)? -2 What is 8 - (-2 + (-3 - -4) - 2)? 11 What is -5 + (-5 - -8)
{ "pile_set_name": "DM Mathematics" }
7348368 Calculate the lowest common multiple of 18182268 and 520. 181822680 Find the common denominator of 127/186 and -17/365553. 22664286 Calculate the smallest common multiple of 222 and 15441024. 571317888 Calculate the common denominator of -31/12540 and -149/245784. 1228920 What is the common denominator of -57/71786 and 68/33? 215358 What is the common denominator of -101/10226548 and -51/25566370? 51132740 Calculate the least common multiple of 88344 and 2002464. 6007392 What is the lowest common multiple of 7600 and 28760? 5464400 Calculate the lowest common multiple of 5788800 and 4050. 17366400 Calculate the lowest common multiple of 6072394 and 11080. 121447880 Find the common denominator of 40/5427 and 139/1754730. 5264190 What is the lowest common multiple of 108 and 20913720? 188223480 Calculate the least common multiple of 3081 and 4076527. 966136899 Find the common denominator of 119/48672 and -131/324792. 16889184 Calculate the common denominator of 82/26145 and -131/70330050. 70330050 What is the smallest common multiple of 49104 and 2977488? 32752368 Calculate the smallest common multiple of 1076763 and 220762. 325182426 What is the common denominator of 19/9656 and -71/76576? 92427232 What is the smallest common multiple of 5885 and 24205005? 24205005 Calculate the common denominator of 71/1166132 and -131/1590180. 17491980 Calculate the least common multiple of 716988 and 1087512. 162039288 What is the common denominator of -59/1449365 and 18/5785? 18841745 What is the smallest common multiple of 112584 and 2328? 10920648 What is the smallest common multiple of 7916606 and 79166060? 79166060 What is the common denominator of 125/3192 and -47/78939? 11998728 Calculate the least common multiple of 2223198 and 127770. 11115990 Find the common denominator of -67/460 and -4/946105. 3784420 Find the common denominator of -53/5110 and 51/40810. 2979130 Calculate the least common multiple of 3492781 and 7309396. 1103718796 Calculate the least common multiple of 129725 and 1255. 32560975 Find the common denominator of 29/806300 and 79/24. 4837800 Find the common denominator of -83/17173422 and -41/3816316. 34346844 Calculate the least common multiple of 7781980 and 14785762. 147857620 Calculate the smallest common multiple of 1374 and 1631349. 747157842 Calculate the common denominator of 49/90 and 51/234638050. 2111742450 What is the lowest common multiple of 649444 and 134652? 95468268 What is the least common multiple of 3008 and 21012384? 42024768 Calculate the smallest common multiple of 20895 and 593617. 62329785 What is the lowest common multiple of 1570256 and 1177692? 4710768 What is the lowest common multiple of 398457 and 2390742? 2390742 What is the smallest common multiple of 39864600 and 175? 279052200 What is the smallest common multiple of 103721 and 3510137? 66692603 Calculate the common denominator of -139/353970 and 41/16074. 16636590 What is the lowest common multiple of 3511963 and 270151? 3511963 What is the smallest common multiple of 3408 and 6124176? 6124176 What is the smallest common multiple of 2003518 and 170? 10017590 What is the common denominator of 40/657 and -37/2301909? 6905727 What is the lowest common multiple of 1404 and 553041? 28758132 What is the smallest common multiple of 42 and 4529364? 4529364 Calculate the lowest common multiple of 4513096 and 11116. 4513096 Calculate the smallest common multiple of 836214 and 2508642. 2508642 Find the common denominator of -59/3418128 and 83/2576. 78616944 Calculate the common denominator of -2/1379853 and 65/4906144. 44155296 What is the common denominator of 31/243 and 49/6091443? 18274329 Find the common denominator of -41/75678 and 28/5486655. 10973310 Calculate the common denominator of -7/55309564 and 37/12. 165928692 Calculate the least common multiple of 39590857 and 167. 39590857 Calculate the least common multiple of 34662 and 1375456. 449774112 Find the common denominator of 13/76608 and -179/271320. 6511680 What is the lowest common multiple of 17168 and 10092? 1493616 Calculate the lowest common multiple of 2486208 and 57408. 32320704 What is the lowest common multiple of 110 and 49849767? 498497670 Calculate the smallest common multiple of 903 and 33952800. 33952800 Calculate the least common multiple of 2737995 and 4066. 585930930 Calculate the least common multiple of 292988626 and 2128. 2343909008 What is the common denominator of 1/67126 and 34/115? 7719490 Calculate the lowest common multiple of 115866 and 11234. 15873642 Calculate the common denominator of 155/114 and 53/10815750. 10815750 What is the common denominator of 31/4067745 and 7/13850? 40677450 Calculate the smallest common multiple of 20268 and 2310552. 2310552 Calculate the smallest common multiple of 6139 and 18325792. 128280544 Calculate the least common multiple of 473000 and 192038. 96019000 What is the common denominator of -13/40 and -1/5137398? 102747960 Calculate the least common multiple of 6198547 and 42833. 43389829 What is the smallest common multiple of 209412 and 432? 837648 What is the least common multiple of 114474672 and 63597040? 572373360 What is the least common multiple of 2302212 and 1342957? 16115484 Calculate the least common multiple of 25512234 and 773098. 25512234 What is the common denominator of 11/129816 and 63/49282? 5322456 Calculate the least common multiple of 3371856 and 159996. 225914352 What is the common denominator of 47/185 and -99/17890? 661930 What is the common denominator of -39/960664 and 11/644? 6724648 Find the common denominator of -23/45742752 and 83/48. 45742752 Calculate the common denominator of 79/209895 and 19/2555. 15322335 Calculate the common denominator of -77/40512 and -19/385120. 487561920 Calculate the common denominator of 23/14308550 and 93/64. 457873600 What is the common denominator of -52/2009887 and -29/12059322? 12059322 What is the common denominator of 49/56372352 and 109/14016? 56372352 Calculate the common denominator of 71/33 and 58/6435. 6435 Find the common denominator of -67/7932150 and 123/797621750. 7178595750 Calculate the common denominator of -8/4699 and -65/690772. 3245937628 What is the smallest common multiple of 981 and 281737? 276383997 Find the common denominator of 137/60474 and -83/5546. 167694402 Calculate the smallest common multiple of 66155376 and 56. 66155376 Calculate the least common multiple of 12 and 149801788. 449405364 Calculate the common denominator of -44/13833945 and -95/1872. 2877460560 Calculate the lowest common multiple of 4340380 and 318560. 34723040 What is the least common multiple of 90177888 and 247989192? 991956768 Calculate the common denominator of 19/252 and 127/6435528. 135146088 Find the common denominator of 1/25040 and 151/5123184. 25615920 Calculate the common denominator of 157/243156 and -61/6078900. 6078900 What is the least common multiple of 2534416 and 39576? 129255216 Calculate the least common multiple of 996597 and 17654004. 123578028 What is the lowest common multiple of 185 and 1498195? 55433215 Calculate the smallest common multiple of 1170576 and 2. 1170576 What is the common denominator of 25/1458384 and -29/2916768? 2916768 What is the common denominator of -33/153092758 and -71/182? 153092758 What is the lowest common multiple of 104344 and 1416? 18468888 Calculate the lowest common multiple of 24026 and 39555. 3243510 What is the common denominator of 17/108 and -157/1225164? 11026476 Calculate the common denominator of -41/869862 and -19/87. 25225998 Calculate the common denominator of 89/4665868 and 33/982288. 18663472 What is the smallest common multiple of 162060 and 21096? 284901480 What is the smallest common multiple of 3712683 and 1999137? 25988781 Calculate the least common multiple of 22 and 364796. 4012756 What is the lowest common multiple of 14891200 and 328? 14891200 What is the smallest common multiple of 3984780 and 80? 15939120 Calculate the least common multiple of 90 and 251649730. 2264847570 Calculate the smallest common multiple of 4674 and 4344. 3383976 Calculate the smallest common multiple of 18 and 10298274. 30894822 Calculate the common denominator of 89/5256 and 49/7209480. 21628440 Calculate the lea
{ "pile_set_name": "DM Mathematics" }
6*l + 2221. Let r(z) = 36591*z**2 + 99*z + 35535. Let o(n) = -33*b(n) + 2*r(n). Find the first derivative of o(c) wrt c. -4578*c Let k(m) = 16*m - 22*m + 9*m - 17. Let j be 1/(3/6) + -6. Let s(l) = -1. Let z(n) = j*s(n) + k(n). Differentiate z(t) wrt t. 3 Let p(y) = 395*y**4 + 63*y**3 - 34*y**2 + 15562. Let a(u) = -113*u**4 - 18*u**3 + 10*u**2 - 4446. Let o(n) = -17*a(n) - 5*p(n). Differentiate o(m) wrt m. -216*m**3 - 27*m**2 Let k = 14 + -12. What is the second derivative of 27*y + 30*y - 33*y**k - 14*y - 17*y**2 wrt y? -100 Let w be 4 + 115/(-10)*-2. Let r = 27 - w. What is the first derivative of -4 + 13*t + 3 + r - 5 wrt t? 13 Let s(z) be the first derivative of 71*z**4/2 - 11*z**3/3 + 1395*z + 3370. What is the derivative of s(t) wrt t? 426*t**2 - 22*t What is the second derivative of -2171*t - 50*t + 726*t**2 + 168*t**2 + 320*t**2 wrt t? 2428 Let n(f) = -f**2 - 9*f + 11. Let j be n(-8). What is the second derivative of 6 + 2*d + 10*d**2 - 32 + j + 16 wrt d? 20 Let q(i) be the second derivative of -54*i**5 - 106*i**3 - i**2 - 11*i - 57. What is the second derivative of q(t) wrt t? -6480*t Suppose 508 = -2*m + l - 0*l, l + 500 = -2*m. Let g be ((-8)/6)/(48/m). What is the derivative of 3*v - g - 13*v - 14*v - 4*v wrt v? -28 Let s be 138/(-6)*-1*13. Suppose 65 - s = -6*b. What is the third derivative of 2*x**2 + 39*x - b*x + 13*x**5 wrt x? 780*x**2 Let w(k) be the third derivative of k**5/4 + 7*k**4/12 + 391*k**3/2 - 3*k**2 - 71*k. What is the derivative of w(m) wrt m? 30*m + 14 Suppose -4*w - 16 = 4*i, -2*w + 3*w = -4*i - 19. Suppose -w + 9 = 4*p. Find the second derivative of 2 + 20*j**4 - 35*j**4 + 16*j - p wrt j. -180*j**2 Suppose -3*q - q - 5*h = -133, -2*h = 5*q - 162. Find the third derivative of -9*m - 126*m**3 + q*m - 23*m - 91*m**2 wrt m. -756 Let d(q) be the third derivative of 0*q + 0*q**3 - 20*q**2 + 0 + 17/6*q**4 - 79/30*q**5. What is the second derivative of d(l) wrt l? -316 Let c be (21/(-14))/(6/(-164)). Find the third derivative of 366 + r**5 + c*r**3 - 382 - 4*r**3 + 2*r**2 wrt r. 60*r**2 + 222 Find the second derivative of -7763*l**2 - 5227*l - 121*l - 1933*l**2 - 3095*l wrt l. -19392 Let f(q) be the first derivative of 1/4*q**4 + 15/2*q**6 + 0*q + 7 - q**2 + 140/3*q**3 + 0*q**5. Find the third derivative of f(t) wrt t. 2700*t**2 + 6 Suppose 2*v + 4*s = 16, 3*v - 3*s + 5 = -7. Suppose -42*u + 63 = -35*u. What is the first derivative of 9*r**3 - u + v - 4 - 1 wrt r? 27*r**2 Let p = 1 - 0. Let b(u) = -8*u**3 - 14*u + 6. Let i(r) = -r**3 - r - 198 - 222 + 421. Let h(l) = p*b(l) - 6*i(l). What is the second derivative of h(c) wrt c? -12*c Suppose 2*s - 5*m = 26, 0*m - 31 = -5*s + 4*m. Let o = 7 - s. Find the third derivative of -o*a**5 - 6*a**3 + a**2 + 0*a**3 + 6*a**3 wrt a. -240*a**2 Let l be ((-40)/(-3))/(-5)*(-27)/(-18). Let v(o) = -71*o + 37. Let d(n) = -214*n + 109. Let m(a) = l*d(a) + 11*v(a). Differentiate m(t) with respect to t. 75 Let m(n) be the first derivative of 1682*n**5/5 - 2155*n - 977. Differentiate m(c) with respect to c. 6728*c**3 Let h be 46/69 - 208/(-3). Let k = h - 70. Find the second derivative of m**5 + k*m - 10*m + 3*m + 24*m**5 wrt m. 500*m**3 Let d(y) be the third derivative of 0*y + 23/3*y**4 + 0 + 152*y**2 - 45/2*y**3. Differentiate d(b) wrt b. 184 Let q(t) be the third derivative of -59*t**6/24 - 871*t**5/30 + 74*t**2 + 1. What is the third derivative of q(i) wrt i? -1770 Suppose -2*g + 10 - 2 = 0. Suppose 1123 = 13*t + 133 + 431. What is the third derivative of -t*r**4 - r**2 - r**2 + 38*r**g + 7*r**2 wrt r? -120*r Suppose 10 = 17*j - 24. What is the derivative of -50 - 25*q**4 - j*q + 283*q**3 + 284*q**3 - 567*q**3 wrt q? -100*q**3 - 2 Let b be 54/12*(-270)/(-243). Let v(s) be the second derivative of -3*s - 1/3*s**3 - 3/4*s**b + 0 + 0*s**4 + 0*s**2. Find the second derivative of v(i) wrt i. -90*i Let t(v) be the second derivative of v**6/10 - 37*v**5/5 - v**4/6 + 7*v**3 - 6270*v. What is the second derivative of t(o) wrt o? 36*o**2 - 888*o - 4 What is the third derivative of -605*c**2 + 306*c**2 - 3864 + 301*c**2 - 2918*c**3 + 9236*c**3 + 2540*c**3 wrt c? 53148 Suppose g - 508 = -3*q, q - 8*g = -4*g + 191. Find the third derivative of 62*h**3 - q + 88 + 87 + 5*h**2 wrt h. 372 Let w(t) = 4*t - 13. Let g be w(6). Let d be 6/24*(g - 3). Find the third derivative of -6*q**3 + 23*q**3 + 12*q**2 + 5*q**d wrt q. 102 Let h(b) = 1370*b**2 - 7*b - 23341. Let m(d) = 910*d**2 - 4*d - 15561. Let g(v) = 5*h(v) - 7*m(v). Differentiate g(l) with respect to l. 960*l - 7 Let n(s) be the second derivative of -209*s**6/10 - s**5/10 - 3311*s**4/4 - 7789*s. What is the third derivative of n(q) wrt q? -15048*q - 12 Let g = 199 - 125. Find the third derivative of -26*p**2 + g*p**5 - 46*p + 36*p**5 + 11*p**2 + 46*p wrt p. 6600*p**2 Suppose 4*a - 3*m - 35 = 0, 5 - 10 = -5*a - 4*m. What is the third derivative of -2*j**5 - 25*j**3 - j**4 + 2*j**a - 43*j**6 - 99*j**2 + 25*j**3 wrt j? -5160*j**3 - 24*j Let x be (-2)/(23/(-92) + (-6)/8). Find the second derivative of -73*f + 41*f**2 - f - 30*f**2 - 2*f**2 + 128*f**x wrt f. 274 Let m(t) = -t**3 - t + 250. Let l be m(0). Suppose -l - 200 = -10*b. Find the second derivative of -217*o**3 + 217*o**3 - b*o - 4*o**4 wrt o. -48*o**2 What is the second derivative of -27*x**3 + 3 - 45*x**4 + 14*x**4 + 20*x**4 - 21*x**5 - 327*x - 329*x + 13*x**4 wrt x? -420*x**3 + 24*x**2 - 162*x Let d(r) be the first derivative of -251*r**4 + 110*r - 12. What is the first derivative of d(w) wrt w? -3012*w**2 Let z(v) be the third derivative of v**8/168 + 152*v**6/15 - 12241*v**4/24 - 19*v**2 + 5*v - 2. What is the second derivative of z(h) wrt h? 40*h**3 + 7296*h Let s be 10/4 + 3/24*-4. Find the second derivative of 50*p - s*p**2 + 6*p**2 + 18*p**2 wrt p. 44 Suppose 3 + 6 = -z. Let w be 5/(-1) + z + 12 + 2. What is the derivative of -2*o + 7*o + 3*o + 7 + w*o wrt o? 8 Let z(a) = 6699*a - 448. Let r(f) = -1675*f + 111. Let d(b) = 18*r(b) + 4*z(b). What is the derivative of d(s) wrt s? -3354 What is the first derivative of -490 + 249 + 1313*j**3 + 1373*j**3 - 3*j**4 - 9*j**3 - 1280 wrt j? -12*j**3 + 8031*j**2 Let v = 53 + -51. Let f(u) = 43*u**3 - 4*u - 9. Let b(j) = -44*j**3 + 6*j + 9. Let o(h) = v*b(h) + 3*f(h). Differentiate o(q) with respect to q. 123*q**2 Let r be (-36)/(-90) + 593/5. What is the second derivative of -13*x**5 - 12*x**5 - r*x - 23*x**5 wrt x? -960*x**3 Let a(u) = -u. Let b be a(-3). Let y be (754/((-13)/((-156)/(-8))))/(-3). Find the second derivative of y*l - 3*l**2 - 39 - 379*l + b - 2*l**2 wrt l. -10 Let d(b) be the first derivative of -2/3*b**3 - 36/7*b**7 + 114 + 0*b**4 + 0*b**5 + 0*b**6 + 51*b + 0*b**2. What is the third derivative of d(j) wrt j? -4320*j**3 Let o = 2 + 3. Let s be 196/(-70)*5/(-7). Find the first derivative of -o + 4 + 6 - 3 + 16*r**s wrt r. 32*r Let n be -2*(110/(-4) + 3). Let d = 64 - n. Find the second derivative of 7*z - 24*z + d*z**5 + 3*z wrt z. 300*z**3 Let n(l) = 14189*l**2 + 44*l + 9051. Let y(w) = -7095*w**2 - 24*w - 4528. Let s(t) = 6*n(t) + 11*y(t). What is the first derivative of s(z) wrt z? 14178*z Suppose 12*i - 17*i + 7 = 4*t, 0 = 3*t + 6. What is the third derivative of s**2 - 2*s**6 + 71*s - 98192*s**i - 100*s**5 + 98192*s**3 wrt s? -240*s**3 - 6000*s**2 Let y(p) = 3*p**5 - p**3 - p - 3. Let i(m) = -6155*m**5 + 3*m**3 + 24*m - 48. Let h(b) = i(b) + 3*y(b). What is the second derivative of h(w) wrt w? -122920*w**3 Let l(n) = 2651*n**3 - 31*n**2 + 8*n - 17. Let m(h) = 2651*h**3 - 30*h**2 + 7*h - 17. Let b(x) = -5*l(x) + 6*m(x). Find the third derivative of b(p) wrt p. 15906 Suppose -2*u - 5*a - 12 = 0, -332*u = -327*u + 3*a - 46. Let c be -1*-11*(0 - -1). Differentiate -u*n**2 - c*n**2 - 3 + 17*n**2 with respect to n. -16*n Let r(k) be the second derivative of -77/12*k**4 - 12*k - 1/6*k**3 - 1 - 7*k**2. Find the second derivative of r(j) wrt j. -154 Find the third derivative of -13*y**3 + 37*y**4 - 16*y**4 + 232*y**2 + 131*y**2 - 14*y**4 wrt y. 168*y - 78 Let i(g) be the third derivative of -281*g**5/4 + 1819*g**3/2 - 1808*g**2. Differentiate i(l) with respect to l. -8430*l Let l(i) be the second derivative of -1 + 40*i + 17/2*i**3 - 59/2*i**2. What is the first derivative of l(c) wrt c? 51 Let n(r) = r**3 - 8*r**2 + 8*r + 9. Let i
{ "pile_set_name": "DM Mathematics" }
1*n + 20. Let a be (102 - 99) + (1/1 - -17). Give r(a). 20 Let o(r) = 947 - r - 1401 + 453. Let a be 3/2*(-2)/1. Determine o(a). 2 Let t(f) = 2*f**3 + 1. Let u = 307 - 308. Determine t(u). -1 Let j(z) = 27*z - 30. Let n be j(4). Let q(b) = -n*b - 4 - b**2 + 36*b + 30*b - 1. Let i(d) = d - 34. Let o be i(23). Give q(o). 6 Let o = -13217 - -13215. Let g(w) = w**2 - w. Suppose 0*r - 4 = 4*r. Let f(t) = -3*t**2 + 7*t - 2. Let m(n) = r*f(n) - 6*g(n). Calculate m(o). -8 Let c(g) = -3*g**2 + 2*g + 7. Let o be 4 + (-583)/77 - (54/(-21) + 2). Give c(o). -26 Let l(m) be the first derivative of m**4/2 - m**3/3 - 3*m**2/2 + 94*m - 10719. What is l(0)? 94 Suppose 0 = 3*q - 9, 20*q = 2*a + 22*q. Let m(b) = 2*b**3 + 2*b**2 - 5*b + 6. Determine m(a). -15 Let f(j) = j + 13. Let r = 1 + 26. Let m be (-150)/27 + (-12)/r. Give f(m). 7 Let n(s) = -s**2 - 18*s + 59. Suppose 5*w - 4*m + 134 = 0, 149 - 405 = 13*w + 5*m. Calculate n(w). -29 Suppose 0 = 10*j - 71 + 31. Let c(m) = 1 + 11*m**2 + j - 6*m**3 + 5*m**3 - 1 + 5*m - 6*m**2. What is c(6)? -2 Let x(v) = 2*v. Let q(i) = -3*i + 1. Let l(s) = 3*q(s) + 5*x(s). Let w(g) = g**2 - 36*g - 77. Let n be w(22). Let r = 378 + n. Give l(r). -4 Let n(v) = 4*v**2 - 5*v + 2. Let u(l) be the third derivative of l**5/20 - 5*l**4/24 + l**3/6 + 53*l**2. Let p(i) = 4*n(i) - 5*u(i). What is p(-3)? -3 Let g = 246 - 168. Let p = g + -79. Let m be p*(1 + 2)/(-3). Let d(s) = 2*s**3 - s**2 + 1. Calculate d(m). 2 Let k(u) = 525*u - 46 - 260*u - 269*u. Let z be k(-10). Let b(q) = 3*q - 3. Give b(z). -21 Let b(w) be the first derivative of -w**4/4 - 4*w**3/3 + w**2 - 15*w - 16. Let g be b(-5). Suppose -j - 69 + 74 = g. Let h(q) = -q**2 + 4*q - 3. What is h(j)? -8 Let u(g) = -3*g + 11. Let a(f) = -f - 1. Let k(w) = 3*a(w) + u(w). Let r be k(2). Let s be 2 + -2 + (r - -5). Let v(b) = -9*b**2 + b - 1. Give v(s). -9 Let m(q) be the first derivative of q**2/2 + 7*q + 3254. Suppose -3*z = 2*z - a + 20, 2*a = -3*z + 1. What is m(z)? 4 Suppose 132 = -41*z + 214. Let u(h) = -12*h**2 - 2. Let s(p) = p**2. Let y(b) = 6*s(b) + u(b). Calculate y(z). -26 Let p(y) = 5*y**2 - 9*y - 11. Let b(o) = 25*o**2 - 43*o - 54. Let w(t) = 4*b(t) - 19*p(t). Calculate w(6). 167 Let z(v) be the first derivative of v**3 + 23*v**2/2 + 21*v - 1977. What is z(-7)? 7 Let y(o) = o**2 - 7*o + 7. Let g be (-1 + 2)/(8 + -2 + -7)*-11. Determine y(g). 51 Let s(i) = -49*i - 17*i - 71*i + 42*i**2 + 15 - 34*i**2. Calculate s(17). -2 Let w(y) = y**2 + 9*y + 10. Suppose 4*s + 3*h - 54 = 0, h + 2 = 4. Suppose s*f + 64 = 14*f. Suppose -2*j - 2*j - f = 0. What is w(j)? 2 Let w(u) = 2*u + 57 - 23*u - 132 + 43 - u**2. Calculate w(-19). 6 Let p(m) be the first derivative of -m**4/4 - 15*m**3 + 24*m**2 + 97*m - 78. Calculate p(-46). 5 Suppose 2*m = 2*k + 28 + 112, -4*k + 280 = 4*m. Let l = m + -63. Suppose 2 = 5*w + l, -c - 4 = 4*w. Let s(f) = -f**2 - f + 8. Calculate s(c). 8 Suppose -5*k + 53 + 162 = -3*h, 255 = 5*k + 5*h. Let q = k - 34. Suppose 0 = -4*g + b + q, -g + 0*b + b = -6. Let u(p) = 5*p**2 - 2*p - 1. Calculate u(g). 15 Let f(v) = 27*v**2 + 8*v - 51. Let z(s) = -17*s**2 - 5*s + 33. Let d(m) = 5*f(m) + 8*z(m). What is d(7)? -40 Let u(s) = -s**3 - 5*s**2 - 6*s - 6. Suppose 0 = -5*f + 17 + 53. Let o(j) = -9*j - 9. Let h be o(-2). Suppose -22 = h*c + f. What is u(c)? 2 Let z = 73 - 74. Let n(a) = -6*a + 2. Let h(o) = o - 1. Let k(l) = z*n(l) - 4*h(l). Let p = 41 - 35. Give k(p). 14 Let w(o) = -13*o**3 - 3*o**2 - 2*o + 2. Suppose -2*f - 2 = -2*r, -7 = 2*r - 6*r + 5*f. Give w(r). 98 Let b(i) = i**2 - 23*i + 88. Let m be b(18). Let v(d) = -2*d**3 + 3*d**2 + d - 2. Calculate v(m). 24 Let d(b) be the second derivative of -b**7/840 + b**6/120 - b**5/40 - 17*b**4/3 - 6*b. Let y(c) be the third derivative of d(c). What is y(4)? -27 Let s(g) = 2*g - 4. Suppose a - 7*a = -756. Let n = -17 + 45. Let j be n/a + (1 - 47/9). Determine s(j). -12 Suppose 0 = d - 5*k - 16, -2*d + 21 = -3*k + 10. Let h(q) = 51*q**3 - q**2 + 2*q - 2. Give h(d). 50 Suppose -55 = 86*v - 97*v. Suppose -p - v*i = -3*p + 12, -24 = p + 5*i. Let f(m) = 3*m**2 + 6*m. Give f(p). 24 Let m(q) = 5*q + 3. Let k(f) = 2*f**2 + 25*f + 78. Let l be k(-8). Let z be 2/(l/48 - (-19)/(-24)). Calculate m(z). -12 Let r(h) = -h**3 + h**2 - 3*h + 3. Let q(z) = 52*z**2 - 2*z + 57. Let u(n) = q(n) - r(n). Give u(-51). 3 Let f = 28 + -28. Let d(b) = f + 0 - 3510*b + b**2 + 3511*b. Let g = -26 - -29. Calculate d(g). 12 Let z be (-2)/(-8) - 1 - (-156)/16. Let q(x) = x**3 - 17*x - 3 - 7*x**2 + 15*x + z*x**2. Let a be 2*-2 + 2*1/2. Give q(a). -6 Let v(y) = 5*y**3 + 7*y**2 + 3*y - 7. Let q(l) = -4*l**3 - 7*l**2 - 4*l + 6. Let h(a) = 6*q(a) + 5*v(a). Let o = -17950 + 17958. What is h(o)? -7 Let b(o) = o**3 + 50*o**2 - 2*o - 99. Let d be b(-50). Let c(f) = -2 + d + 4 + 3164*f - 3157*f. Give c(5). 38 Let m(x) be the third derivative of x**5/15 - x**4/3 + 5*x**3/2 + 4129*x**2. What is m(2)? 15 Let s(c) = 7 - 2*c**2 - c - 5*c + c**2 - 2. Let q be s(-7). Let r(x) = 3*x + 10. Let y be r(q). Let b(g) = g**2 - 4*g + 1. Calculate b(y). 1 Let x(m) = m**2 - 39*m + 227. Let i be x(32). Let z(j) = 21*j - 22. Calculate z(i). 41 Let m(s) be the third derivative of -s**4/8 + 2*s**3 + 9*s**2 + 3. Suppose -154 = -25*l - 4. Give m(l). -6 Let m = -261 + 212. Let d be 2*(-5 - m/7). Let r(p) = p**3 - 4*p**2 - p - 4. Give r(d). -8 Let u(q) be the second derivative of -35*q**3/6 - 31*q**2 + 351*q + 3. Calculate u(-2). 8 Let n be 3/4 - 124/16. Let c(x) = -10*x + 3. Let b(z) = -31*z + 10. Let g(w) = n*c(w) + 2*b(w). Let f = -1499 + 1500. Give g(f). 7 Let i(c) = 6*c + 40. Let j(o) = -5*o**2 + 189*o - 155. Let f be j(37). Give i(f). -2 Suppose -18*q + 42*q = 1200. Suppose 5*a = 4*j - q, a = 5*j - 28 - 3. Let m(y) = y**2 + 9*y + 8. Give m(a). -10 Let a(k) = -2*k**2 - 8*k - 4. Let t be (-16 + 14)/(2/(-3))*8. Suppose 7*v - 3*v = -t. Give a(v). -28 Let b = 1819 + -1820. Let l(j) = -6*j - 1. Let q(p) = -12*p - 2. Let n(f) = -5*l(f) + 3*q(f). What is n(b)? 5 Let a(r) = -r**2 - 2*r + 5. Let j be a(-4). Suppose 3*o + w - 4 = 0, -2*o + 9 = -2*w - 7. Let g(t) = -18 + 34 + o*t + 2*t**2 - 20 + t**2. Calculate g(j). 14 Suppose 5*h = 0, 0 = 3*t - 2*h + 4*h - 48. Let z(v) = -v**2 + 8*v + 127. Determine z(t). -1 Let y(r) = -r**2 + r + 1. Let m be (-10)/(-10) + (0 - (1 - 4)). Let b(s) = -3*s - m*s + 2 + 8*s + 6. Let g be b(-7). Calculate y(g). 1 Let q be (-8)/(64/(-131982)) - 3/4. Let v(t) = 2 + 8 - q*t + 16498*t. What is v(-9)? 1 Let m be ((-5)/(-10))/((-3)/6) - -3. Let k(h) = -5 + 10 - 7*h - 3*h**3 - 9*h**m - 3*h**3 + 5*h**3. Suppose -4*i - 56 = 3*i. Calculate k(i). -3 Let h(p) = -p**3 + p**2 + 2*p + 1. Let x be (-20140)/(-65) - 2/(-13). Suppose 6 = -x*o + 313*o. Determine h(o). 1 Suppose -j - 5*t + 41 = 0, -2*t - 53 = -65. Let z(k) = -4*k + 60. Give z(j). 16 Let l be (-16)/12 + (-26)/(-6). Suppose -7*x = -l*x - 8. Let b(v) = -10*v + 5. Let g(n) = 19*n - 9. Let c(q) = 11*b(q) + 6*g(q). Give c(x). 9 Suppose -9*x - 56 = 12*x - 14*x. Let a(v) = v**2 + 5*v - 4. Give a(x). 20 Let d(r) be the third derivative of 0 - 11/24*r**4 + 103*r**2 - 1/60*r**5 + 1/3*r**3 + 0*r. Give d(-11). 2 Suppose -51*z + 28 = -112 - 166. Let m(u) = -u - 9. Determine m(z). -15 Let h(z) = 13*z**3 + 26*z**2 - 35*z + 47. Let c(f) = 11*f**3 + 24*f**2 - 34*f + 48. Let r(j) = -6*c(j) + 5*h(j). Give r(-16). -5 Suppose 4*g + 17 = u, -3*u + g + 10 - 3 = 0. Let o be 1 - (2 + (3 + u)*-1). Let f(x) = -2*x - 3 + x + x**2 + o. Calculate f(3). 6 Let k(t) = 26 - 5262*t - 5263*t + 10551*t + t**2. Give k(-1). 1 Suppose 5*u - h - 7 = 6*u, 3*h = -u - 15. Let a(d) = -2*d**3 - 4*d**2 + 0*d**2 + 27*d - 29*d. What is a(u)? 24 Let l(g) = 0 + 1 + 2 + 0 - 4 - g. Let u be 0*2*(4/(-16))/(-1). Give l(u). -1 Let f(z) be the first derivative of -z**2/2 + 47*z + 3669. Give f(32). 15 Suppose 66*n + 0*n + 32*n = 0. Let r(g) = 2*g**2 - 2*g + 41. What is r(n)? 41 Let q be (38*(-52)/(-741))/((-8)/(-9)). Let i(k) = k - k**3 + k + 3*k**2 - 4 + 1. Give i(q). 3 Let v(f) = 5*f + 78. Let r be v(-32). Let w = -80 - r. Let u(q) = 0*q**2 - q**w + 1158*q + 3 - 1156*q. Determine u(5). -12 Suppose -7 = t - 2. Let h = t - -15. Suppose 4*b = 6 + h. Let d(w) = w**3 - 5*w**2 + 4*w - 4. What is d(b)? -4 Let c = -462 - -466. Let h(w) = 5*w - 7 + 0*w**2 - 2*w - c*w - 3*w + w**2.
{ "pile_set_name": "DM Mathematics" }
0665, 348990998, 465321331, 581651664? 697981997 What comes next: -222263, -444715, -667167, -889619, -1112071? -1334523 What comes next: 280, 314, 342, 364, 380, 390? 394 What comes next: 249, 2312, 7883, 18708, 36533, 63104, 100167, 149468? 212753 What comes next: 15438, 14910, 14370, 13812, 13230, 12618, 11970? 11280 What is the next term in 6510, 25921, 58300, 103665, 162034? 233425 What comes next: 189195, 379169, 569143, 759117? 949091 What comes next: -11169, -44762, -100753, -179142, -279929? -403114 What is the next term in 8406090, 8406116, 8406142, 8406168? 8406194 What is the next term in -442440, -884675, -1326910, -1769145, -2211380, -2653615? -3095850 What is next in 991, 13231, 46605, 111679, 219019? 379191 What is the next term in 1564077, 3128163, 4692249, 6256335? 7820421 What comes next: -721, 215, 1339, 2651, 4151, 5839, 7715? 9779 What is next in 219, 424, 473, 366? 103 What is next in 238297, 952916, 2143947, 3811390? 5955245 What is the next term in 2486, 1516, -100, -2362, -5270, -8824? -13024 What comes next: -3105980, -6211966, -9317966, -12423986, -15530032, -18636110, -21742226, -24848386? -27954596 What is the next term in -64671, -129365, -194127, -258993, -323999, -389181? -454575 What is next in -4838, -12374, -25298, -46304, -78086, -123338, -184754, -265028? -366854 What comes next: 8965182, 17930382, 26895612, 35860878, 44826186, 53791542, 62756952, 71722422? 80687958 What comes next: 142555, 285088, 427625, 570166, 712711, 855260? 997813 What is next in 2372, 21, -3902, -9403, -16488, -25163, -35434, -47307? -60788 What is the next term in -218569, -874266, -1967093, -3497050, -5464137, -7868354, -10709701? -13988178 What is the next term in 33512, 70213, 106902, 143573, 180220, 216837, 253418? 289957 What is the next term in -7761461, -7761460, -7761457, -7761452, -7761445, -7761436? -7761425 What is next in -573998, -573939, -573882, -573827, -573774? -573723 What is the next term in -1746, -2132, -2628, -3234, -3950, -4776? -5712 What is the next term in 19754, 157602, 531742, 1260314, 2461458? 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-8194016 What is next in -34583, -69058, -103489, -137870, -172195, -206458, -240653? -274774 What is next in -15686302, -15686304, -15686306? -15686308 What is the next term in 7369251, 14738642, 22108033? 29477424 What is the next term in 973156, 3892640, 8758448, 15570580? 24329036 What is next in -3406374, -3406435, -3406536, -3406677, -3406858, -3407079, -3407340? -3407641 What is the next term in -10590736, -21181463, -31772182, -42362893, -52953596, -63544291, -74134978? -84725657 What comes next: 76702, 76777, 76902, 77077? 77302 What is next in -12729, -50832, -114345, -203268, -317601? -457344 What is the next term in 230076, 230097, 230118, 230139? 230160 What is the next term in 54464, 54433, 54388, 54323, 54232, 54109, 53948? 53743 What comes next: -4233076, -4233000, -4232874, -4232698, -4232472? -4232196 What is the next term in 7513, 31060, 70641, 126256, 197905, 285588? 389305 What is next in 104358, 104321, 104254, 104151, 104006, 103813? 103566 What is the next term in -216, -434, -688, -1002, -1400? -1906 What comes next: 264442, 267141, 269840, 272539, 275238? 277937 What comes next: 551, 2217, 5309, 9827, 15771, 23141? 31937 What is next in 119730, 238431, 357132, 475833? 594534 What comes next: -37015, -39240, -42955, -48166, -54879, -63100, -72835? -84090 What is the next term in 200769, 401515, 602257, 802995, 1003729, 1204459, 1405185? 1605907 What is next in -6129, -46762, -157043, -371796, -725845, -1254014, -1991127? -2972008 What comes next: 9101, 56647, 135897, 246857, 389533, 563931, 770057? 1007917 What comes next: -1621120, -6484470, -14590054, -25937872, -40527924, -58360210? -79434730 What comes next: 485522, 485527, 485544, 485579, 485638? 485727 What is the next term in -17621392, -35242787, -52864182? -70485577 What is next in 802093, 802117, 802161, 802225, 802309, 802413, 802537? 802681 What is the next term in -612340, -1224634, -1836928, -2449222, -3061516, -3673810? -4286104 What is next in -27190, -109079, -245574, -436675, -682382, -982695? -1337614 What is next in 25246, 30774, 39996, 52918, 69546, 89886, 113944? 141726 What comes next: 77070, 158976, 240906, 322872, 404886, 486960, 569106? 651336 What comes next: 98098, 196191, 294284, 392377? 490470 What is the next term in 52920, 105857, 158796, 211743, 264704, 317685, 370692, 423731? 476808 What is next in -23608, -47317, -71302, -95701, -120652? -146293 What is the next term in -45073114, -90146234, -135219356, -180292480, -225365606? -270438734 What is the next term in 641037, 1281780, 1922523? 2563266 What is next in -1469, -14183, -49381, -118307, -232205, -402319, -639893? -956171 What comes next: -478749, -957485, -1436183, -1914837, -2393441, -2871989? -3350475 What comes next: -285127, -285093, -285045, -284989, -284931, -284877? -284833 What comes next: -1485, -1714, -2279, -3348, -5089, -7670, -11259, -16024? -22133 What is the next term in -1568670708, -1568670707, -1568670706, -1568670705, -1568670704, -1568670703? -1568670702 What comes next: -7624423, -15248838, -22873253? -30497668 What comes next: -4498, -8923, -13338, -17743, -22138, -26523? -30898 What is the next term in 1001, 2237, 3665, 5297, 7145, 9221, 11537? 14105 What comes next: 361786, 361828, 361868, 361906, 361942, 361976, 362008? 362038 What is the next term in -221998, -222024, -222062, -222112? -222174 What is next in 932, 1460, 1588, 1316, 644, -428? -1900 What comes next: -31, 118, 531, 1340, 2677, 4674? 7463 What is the next term in -11933, -47721, -107355, -190829, -298137, -429273? -584231 What is next in 467417, 467242, 466951, 466538, 465997, 465322? 464507 What is the next term in -9970, -11790, -13696, -15730, -17934, -20350, -23020? -25986 What comes next: -117689, -235397, -353119, -470855? -588605 What comes next: 8158425, 8158530, 8158635, 8158740, 8158845? 8158950 What is next in 1618925, 1618930, 1618935? 1618940 What is the next term in -109096, -218019, -326942, -435865, -544788, -653711? -762634 What is next in -70159, -70527, -70895, -71263? -71631 What is the next term in 800, 7069, 23918, 56585,
{ "pile_set_name": "DM Mathematics" }
/9*l**3 + 5*l - 1/30*l**5 + 0 - 1/9*l**b + 0*l**2. Find y such that h(y) = 0. -1, 0 Let f(n) = 2*n - 50. Let w be f(-11). Let o = 76 + w. Determine a so that 2*a**4 - 4*a**4 + 3*a**4 + o*a**3 - a**2 - a**5 - 3*a**5 = 0. -1, 0, 1/4, 1 Let h(y) be the first derivative of y**4/60 + 2*y**3/15 + 2*y**2/5 - 79*y - 75. Let f(i) be the first derivative of h(i). What is a in f(a) = 0? -2 Suppose 266 = 2*h - 9*h. Let d = -36 - h. Suppose -4*r**3 - 4*r**d - 383*r + 4*r**4 + 383*r + 4*r**5 = 0. What is r? -1, 0, 1 Let l(p) = -5*p**3 - 164*p**2 - 780*p + 16. Let n(o) = o**2 - 4. Let v(t) = l(t) + 4*n(t). What is w in v(w) = 0? -26, -6, 0 Let o = -1605953/15 - -107065. Find f such that o*f + 2/15*f**2 - 8/5 = 0. -12, 1 Let y(t) be the second derivative of 0 + 105/16*t**2 + 29*t - 1/32*t**4 - 1/8*t**3. Factor y(f). -3*(f - 5)*(f + 7)/8 Factor 1464/11*g - 2/11*g**2 + 2936/11. -2*(g - 734)*(g + 2)/11 Suppose 27*g - 3*d = 26*g, 4*g = -21*d + 25*d + 8. Suppose 4*q + 2*n - 12 = 0, 0*n + 2*n + 4 = 4*q. Factor 180*w**g - 32 - 264*w**q + 464/3*w - 36*w**4. -4*(w - 3)*(3*w - 2)**3/3 Let x = -373690 + 373692. Solve 16*t + 4/3*t**x + 44/3 = 0. -11, -1 Let 1/6*u**4 - 21168*u + 251/3*u**3 + 10416*u**2 + 0 = 0. Calculate u. -252, 0, 2 Let a(g) = -38*g**2 + 80*g + 658. Let r(n) = -9*n**2 + 20*n + 164. Let s be (-9)/6*(7 - 13). Let q(o) = s*r(o) - 2*a(o). Factor q(l). -5*(l - 8)*(l + 4) Let c(w) be the first derivative of -173/13*w**2 + 140/13*w - 10/39*w**3 - 25. Factor c(p). -2*(p + 35)*(5*p - 2)/13 Let l(n) be the first derivative of -27*n**4/8 + 1014*n**3 + 4065*n**2/4 + 339*n - 386. Factor l(i). -3*(i - 226)*(3*i + 1)**2/2 Suppose -26*z + 33*z = 21. Suppose z*t = 55*t - 156. Find r, given that 2/3*r**2 - 2/3 + 2/9*r**t - 2/9*r = 0. -3, -1, 1 Let z(c) be the first derivative of c**4/3 + 40*c**3/9 + 32*c**2/3 - 188. Solve z(s) = 0. -8, -2, 0 Let j(m) = -16*m**3 + 161*m**2 - 18*m + 83. Let b be j(10). Factor 0*q**2 - 12/7*q**b - 4/7*q**5 + 0*q + 0 + 16/7*q**4. -4*q**3*(q - 3)*(q - 1)/7 Let c(q) be the third derivative of 0 + 10*q**4 - 1/84*q**8 - 11/30*q**6 + 24*q**3 + 18*q**2 + 0*q + 19/15*q**5 - 2/15*q**7. Let c(x) = 0. What is x? -3, -2, -1, 2 Let o(w) be the second derivative of -35/2*w**2 - 4 + 71/6*w**3 - 1/6*w**4 - 6*w. Factor o(v). -(v - 35)*(2*v - 1) Let t(y) be the third derivative of y**7/210 - 49*y**6/60 + 863*y**5/20 - 2303*y**4/6 + 4418*y**3/3 + 2*y**2 - 523*y. Factor t(i). (i - 47)**2*(i - 2)**2 Let z(a) be the third derivative of 23/80*a**6 + 1/20*a**7 - 10*a**2 - 9/10*a**5 + 0*a - 4*a**3 + 0 - 17/4*a**4. Let z(j) = 0. Calculate j. -4, -1, -2/7, 2 Let f(c) be the third derivative of -176/3*c**4 - 512/3*c**3 - 3/10*c**6 + 3 - 7*c**5 + 0*c + 18*c**2. Factor f(v). -4*(v + 1)*(3*v + 16)**2 Let w(y) be the second derivative of 5/21*y**3 - 1 + 3*y - 1/70*y**5 + 2/21*y**4 + 0*y**2. Factor w(v). -2*v*(v - 5)*(v + 1)/7 Let c(i) be the first derivative of -20*i**3/3 - 64*i**2 + 84*i + 1543. Let c(d) = 0. Calculate d. -7, 3/5 Let q = 8774 + -8774. Let v(d) be the third derivative of 5*d**2 + q - 1/7*d**4 + 0*d - 1/105*d**5 + 2/3*d**3. Factor v(f). -4*(f - 1)*(f + 7)/7 Let n(v) be the first derivative of v**6/51 + 22*v**5/17 + 389*v**4/17 + 308*v**3/17 - 3483*v**2/17 + 4374*v/17 - 2410. What is c in n(c) = 0? -27, -3, 1 Let q = 334 - 324. Let n(h) = -h**2 - h - 1. Let k(i) = -6*i**2 - 9*i - 8. Let c(f) = q*n(f) - 2*k(f). Solve c(b) = 0 for b. -3, -1 Suppose 16*y - 12 = 10*y. Factor 20*p**y + 10*p + 19*p**2 - 62*p**2 + 25 + 24*p**2. (p + 5)**2 Let u(q) be the second derivative of 0*q**2 + 1/48*q**4 - 5/6*q**3 - 1/120*q**5 + 1/720*q**6 - 13*q + 0. Let x(i) be the second derivative of u(i). Factor x(p). (p - 1)**2/2 Suppose -80 + 26*v**5 + 15*v**5 + 104*v**2 + 83*v - 36*v**4 - 37*v**5 - 35*v - 52*v**3 + 12*v**2 = 0. What is v? -2, -1, 1, 10 Suppose -658 = -23*b - 566. Let i(p) be the third derivative of 1/5*p**3 - 7/60*p**b + 0 + 0*p - 1/300*p**6 + 35*p**2 + 1/30*p**5. Solve i(d) = 0 for d. 1, 3 Suppose 0 = -2126*v + 2066*v. Factor v + 8/7*w - 2/7*w**4 - 2/7*w**3 + 8/7*w**2. -2*w*(w - 2)*(w + 1)*(w + 2)/7 Factor 5*x**5 - 12*x**4 + 5*x**4 - 108*x - 216*x**2 + 4679*x**3 - 2*x**5 - 4784*x**3 + 13*x**4. 3*x*(x - 6)*(x + 1)**2*(x + 6) What is i in -313 - 76*i**3 - 77*i**2 + 25*i**2 + 1177 + 8*i**4 + 358*i + 338*i = 0? -2, -3/2, 4, 9 Suppose 5*b - 79 = 156. Let l = b - 44. Factor -63*m - 20 + 27*m**2 + 103*m + 14*m**2 - 25*m**l - 6*m**2. -5*(m - 2)*(m + 1)*(5*m - 2) Let b = -85 + 1228. Let o = -1143 + b. What is z in -3/5 + o*z + 3/5*z**2 = 0? -1, 1 Let 25/3*w + 625/6 + 1/6*w**2 = 0. Calculate w. -25 Let z be (-100 + -94 + 186)*3/(-12). Determine t so that 1/2*t**3 + 256 + 12*t**z + 96*t = 0. -8 Let p(k) be the first derivative of -k**4/20 + 16*k**3/15 - 77*k**2/10 + 98*k/5 + 4557. Factor p(c). -(c - 7)**2*(c - 2)/5 Let f(t) be the third derivative of -t**7/350 - 11*t**6/75 - 31*t**5/12 - 949*t**4/60 - 676*t**3/15 + 278*t**2 + 2. Suppose f(l) = 0. What is l? -13, -2, -4/3 Let m be 5/4 - (191 - 192). Let z(f) be the second derivative of -3*f**2 + m*f**3 + 0 + 17*f + 5/16*f**4. What is x in z(x) = 0? -4, 2/5 Let -27/4*l**4 + 1/4*l**5 - 169/2*l + 0 - 117/4*l**2 + 193/4*l**3 = 0. Calculate l. -1, 0, 2, 13 Factor 23 - 1669*z - 3*z**2 + 181 + 1765*z. -3*(z - 34)*(z + 2) Let n(o) be the second derivative of -3/40*o**5 + 0 - 1/8*o**4 - 83*o - 9/4*o**2 + 5/4*o**3. Factor n(d). -3*(d - 1)**2*(d + 3)/2 Suppose 5*i = -3*v + 2486 + 6615, -3*i + 5454 = 4*v. Factor 1771*q + 1 - i*q - 54*q**2 + 2. -3*(q + 1)*(18*q - 1) Suppose 0 = 5*q + 10, 2*h - 5*q + 33 = 55. Let g(f) = -7*f**3 + f**2 - 9*f. Let z(r) = 8*r**3 - 3*r**2 + 10*r. Let o(k) = h*g(k) + 5*z(k). Solve o(a) = 0. -4, -1/2, 0 Find h such that 2*h**3 + 620/3*h**2 + 818/3*h + 68 = 0. -102, -1, -1/3 Let h(z) be the third derivative of -5*z**3 + 5/24*z**4 - 24*z**2 + z + 0 + 1/12*z**5. Suppose h(j) = 0. What is j? -3, 2 Let y(s) be the third derivative of 4*s**5/15 + 73*s**4/6 - 38*s**3 + 1217*s**2 - 1. Factor y(i). 4*(i + 19)*(4*i - 3) Let x(c) be the first derivative of -c**4/30 - 6*c**3/5 + 6*c**2 - 1207. Factor x(v). -2*v*(v - 3)*(v + 30)/15 Let t(v) be the first derivative of v**5/55 + 65*v**4/44 + 31*v**3 - 99*v**2/2 - 1028. Solve t(c) = 0. -33, 0, 1 Suppose 13*i - 22*i + 21*i = 0. Let g(l) be the second derivative of i + 13*l + 6*l**2 + 0*l**3 - 1/4*l**4. Solve g(y) = 0. -2, 2 Find b, given that 216*b - 9*b**2 - 576 + 120*b - 51*b**2 + 0*b**3 + 3*b**3 = 0. 4, 12 Let b(j) = 1693*j**2 - 988*j + 140. Let m(d) = -1690*d**2 + 987*d - 141. Let q(f) = -3*b(f) - 4*m(f). What is i in q(i) = 0? 12/41 What is q in 100*q + 5*q**2 - 87 + 217 + 50 + 0*q**2 = 0? -18, -2 Let d = -65 + 57. Let p be (-10 + -1)/(d/24*3). Factor -8*m**2 - m**3 + 1 + 2*m**3 + p*m**2 + 0*m**3 + 3*m. (m + 1)**3 Factor 65*t - 141 + 32*t - 20*t - 111 - 3*t**2 - 2*t. -3*(t - 21)*(t - 4) Let s(l) be the third derivative of 25/8*l**6 + l**2 - 17 - 23/6*l**5 + 5/3*l**4 + 0*l**3 + 0*l + 5/48*l**8 - 22/21*l**7. Find i, given that s(i) = 0. 0, 2/7, 1, 4 Let g(k) be the first derivative of 5*k**4/4 - 1295*k**3/3 + 3498. Suppose g(b) = 0. Calculate b. 0, 259 Let f be ((-15)/(-525)*-7)/(42/45 - 1). Let t(y) be the first derivative of 5*y + 41 + 5/3*y**f - 5*y**2. Factor t(l). 5*(l - 1)**2 Let j be ((-32)/(-320))/(78/8320). Find k, given that 8/3*k**5 - 16/3 - 40/3*k**3 - 4/3*k**4 + j*k + 20/3*k**2 = 0. -2, -1, 1/2, 1, 2 Let f = -677247 - -677249. Find q such that 64/3*q - 2/3*q**4 + 26/3*q**3 + 64 - 100/3*q**f = 0. -1, 4, 6 Let v be (-226)/(-1356)*(-1089)/(-12). Let x(z) be the second derivative of -3 + v*z**2 + 4*z + 1/48*z**4 - 11/12*z**3. Solve x(h) = 0 for h. 11 Let c = 42354 + -127057/3. Factor 1/3*g**3 + g + 1/3*g**4 - c*g**2 + 0. g*(g - 1)**2*(g + 3)/3 Let q(j) be the first derivative of j**4/28 - 116*j**3/21 + 1682*j**2/7 - 2938. Factor q(z). z*(z - 58)**2/7 Let z(d) = -317*d - 59. Let x be z(6). Let h = x - -1963. Factor 0*m**h - 14/9*m + 4/3 + 2/9*m**3. 2*(m - 2)*(m - 1)*(m + 3)/9 Let x be ((-56)/49)/(9/63)*2/(-24). Suppose 5*p - p + 2*f = 12, -5*p + 24 = -2*f. Solve 0*h**2 - 16/9*h + 20/9*h**3 - x - 4/9*h**5 + 2/3*h**p = 0 for h. -1, -1/2, 1, 3 Let s(u) be the second derivative of u**6/16 + 11*u**5/40 - 21*u**4/32 + u**3/12 + 689*u - 1. Let s(w) = 0. What is w? -4, 0,
{ "pile_set_name": "DM Mathematics" }
What is the units digit of g/c + (-4)/(-6)? 4 Let u = -3 + 2. Let k(p) be the second derivative of 4*p**4/3 + p**3/2 + p**2 - 25*p. What is the units digit of k(u)? 5 Suppose 5*s + 5*o + 430 = 0, -6*o + o + 266 = -3*s. Let d = s + 174. What is the tens digit of d? 8 Suppose -81 = -2*q - 4*x - x, -134 = -3*q + 5*x. Let p = q + 132. What is the tens digit of p? 7 Let l(x) = -x**3 + 10*x**2 - 9*x + 3. Let m(n) = n**2 + 2*n + 1. Let w be m(-4). Let t be l(w). What is the units digit of (t + 0)*48/9? 6 Suppose 3*v + 2*x = 7*x - 8, -2*v - 4*x + 24 = 0. Suppose 3*s - 757 = -v. What is the units digit of s? 1 Let z be 12/4 + (-7)/1. Let w be (1 - -6) + 4 + z. Suppose -w + 1 = -j. What is the units digit of j? 6 Let b(w) be the first derivative of -w**2/2 + w - 72. Suppose -2*o - 3*o - 20 = -3*v, 2*v + 20 = -5*o. What is the units digit of b(o)? 5 Suppose 2 = -p + 2*p. Suppose p*t + 15 = -11. What is the tens digit of (42/4)/(t/(-26))? 2 Let h be 6/(-51) + 1131/221. Suppose -a = h*p - 39, -p = 9*a - 5*a - 251. What is the tens digit of a? 6 Let h(j) = j**3 + 14*j**2 - 14*j + 19. Let k be h(-15). Suppose 0 = -5*r - k*r + 351. What is the tens digit of r? 3 Let s be 1*2/(8/1108). Suppose -403 = -5*q + s. Suppose 5*w - q - 13 = -2*b, w = 3*b + 23. What is the units digit of w? 9 Suppose 2*q + 2 = 0, -4*q = -4*o - q + 15. Suppose -3*z = -2*n - 63, 2*n - o*z = -4*z - 59. What is the units digit of ((-12)/n)/((-2)/(-10))? 2 Let h(c) = -2*c + 14. Let q be h(-8). Suppose -m + 3*i = -q, 48 = 3*m - m - 2*i. Suppose -4*x - m = -185. What is the units digit of x? 1 Let x(m) = -369*m**3 - 1 + 0 + 272*m**3. What is the tens digit of x(-1)? 9 Suppose 35 = 3*o - 40. Suppose -v + 2*v - 862 = -3*q, 5*v = -o. What is the units digit of q? 9 Let y(s) = s**3 - 8*s**2 + 9*s + 18. Let j be y(6). Suppose 5*m = -d + 1014, 0 = -j*m - m - d + 202. What is the hundreds digit of m? 2 Suppose -4*q = -2*g + 8, 2*g - 3*q + 33 = 7*g. Suppose g*u = -l + u + 70, -2*l + 149 = u. What is the tens digit of l? 7 Let o(h) = -h + 23. Let p be o(23). Suppose 0*m + m - 206 = p. What is the hundreds digit of m? 2 Let b(z) = -2 + 15*z + 8 - 1. What is the units digit of b(4)? 5 Let b(s) = 18*s + 2*s**2 - 24*s - 10*s**2 + 27 - 1 - s**3. What is the tens digit of b(-8)? 7 Let o = -29 + 2961. What is the tens digit of o? 3 Suppose -y = n - 11, -4*n + n = 4*y - 47. Suppose y + 2 = -2*z. Let l = 13 + z. What is the units digit of l? 5 Suppose -42 = -f + 44. Let c = f - 12. What is the units digit of c? 4 Suppose 18*m = 21530 + 17926. What is the tens digit of m? 9 Let w = 849 - 556. What is the hundreds digit of w? 2 Let n(r) = -r**2 + 3*r + 4. Let s be n(0). Let w(o) = 12*o - o**3 - s*o**2 + 6*o**2 + 0*o**3 + 6*o**2 - 10. What is the units digit of w(9)? 7 Let u = -196 - -399. What is the units digit of u? 3 Let b = -286 + 915. What is the units digit of b? 9 Let q = 1717 - 905. What is the hundreds digit of q? 8 Suppose 333 - 1037 = 2*b. Let c = b + 596. What is the tens digit of c? 4 Let h(k) = k**3 + 9*k**2 - 13*k - 25. Let z be h(-10). Suppose -72 = -r - z. What is the units digit of r? 7 What is the units digit of ((-7)/(-3) - 2)/(37/6327)? 7 Let o = 291 + 183. What is the tens digit of o? 7 Let b = 56 + -60. What is the units digit of (43 - 8/2) + b? 5 Let c = 417 - -94. What is the tens digit of c? 1 Let b(f) = 77*f**3 - 4*f**2 + 4*f. What is the tens digit of b(2)? 0 Let t(k) = 29*k**3 - 7*k**2 - 2*k + 16. What is the hundreds digit of t(5)? 4 What is the thousands digit of 3/1*8455/19? 1 Suppose -6*t - 2*m = -14236, -5*m = 24*t - 27*t + 7088. What is the thousands digit of t? 2 Suppose 0 = 58*t - 55*t - 1377. What is the tens digit of t? 5 Suppose 0*n = n - 4. Let j be 2 - -3*n/12. Suppose -1 = j*p - 2*p - 3*a, p - 13 = -4*a. What is the units digit of p? 5 What is the thousands digit of 368544/160 - (-9)/15? 2 Suppose 0 = 4*l + 3*k - 11, 2*l + 5 = -0*l - 5*k. Suppose -r - 2 = -l. Suppose m + 39 = r*h - 4, 0 = 4*h - 2*m - 60. What is the tens digit of h? 1 Let v(t) = -t**3 - 18*t**2 - 35*t + 7. What is the units digit of v(-19)? 3 Suppose 92 = -3*f - b, 5*f = -2*b + 6*b - 142. Let j = 34 + f. Suppose -j*i - 3*i = -511. What is the tens digit of i? 7 Let o = -76 + 166. What is the hundreds digit of (2 + (-106)/(-5))*o/18? 1 Let s(x) = 53*x**2 + 13*x + 32. What is the units digit of s(-5)? 2 Let b be (2 + 1)*-1 + (-652)/(-4). Suppose -3*x + 250 = 2*a, -x - x + 2*a + b = 0. What is the tens digit of x? 8 Let l = 76 + -72. Suppose l*w = -4*u + 640, -w = 4*u - 17 - 137. What is the units digit of w? 2 Let l = -1623 + 2812. What is the units digit of l? 9 Suppose 2*u = 6*u. Suppose 10*o - 12*o + 48 = u. What is the tens digit of o? 2 Let d = 74 + -29. Suppose -s + d + 56 = 0. What is the units digit of s? 1 Let j(s) = -2*s**3 - 4*s**2 - 4*s - 4. Let r be j(-4). Let v = 74 + r. Suppose -5*q + t - 49 = -299, 3*q - v = -3*t. What is the tens digit of q? 5 Let z be 0*(-1)/(-2) - 22. Let j be (z*1)/(-8 - -7). What is the units digit of j - ((-1)/(-1) + -1)? 2 Suppose -4*g = 4*x - 12, -g + 5*x + 2 + 1 = 0. Suppose 117 + 96 = g*d. What is the tens digit of d? 7 Let w(n) = -n**3 + n**2 + 6. Let q be w(0). Let r = -25 + 175. Suppose -q*v + r = -v. What is the tens digit of v? 3 Suppose -17*w + 25253 - 7828 = 0. What is the thousands digit of w? 1 Suppose -4*t + 43 = -3*d - 0*d, 67 = 4*t + 5*d. What is the tens digit of (t - 3)*131/5? 6 Let a = 16 + -5. Let g = a - 11. Suppose g*k - 4*k + 52 = 0. What is the units digit of k? 3 Let u(j) = 9*j**2 - 9*j - 10. Let b(z) = -4*z**2 + 5*z + 5. Let c(v) = 7*b(v) + 3*u(v). Let g = 143 - 136. What is the tens digit of c(g)? 1 Let s = -51 + 53. Suppose s*u - 590 = -3*i, 2*i + 5*u - 398 = 6*u. What is the tens digit of i? 9 What is the units digit of (-178)/(-8)*(-144)/(-18)? 8 Let l = 486 + 90. Suppose -l = -2*m - 38. What is the hundreds digit of m? 2 Let p(m) = -2*m**3 + 3*m**2 + 3*m + 1. Let h = -31 - -30. Let i be p(h). What is the tens digit of 1/i*(3 + 108)? 3 Suppose 4*y - 4774 = 3*t, -5*y + 3*t - 2*t + 5962 = 0. What is the thousands digit of y? 1 Let j(o) = -2*o**2 - 1. Let f be j(-1). What is the tens digit of (6/(-15))/(f/435)? 5 Suppose -11*h - 364 = -7*h. What is the units digit of (-156)/h*126/4? 4 Suppose a = -0*a + 6. Suppose 0 = a*i - 517 + 67. What is the units digit of i? 5 Let h(b) = 3*b + 3. Let o be h(-3). Let u = 8 + o. Suppose 0 = a - 0 - u. What is the units digit of a? 2 Suppose 3*n - 4 = -5*r, -4*n = -3*n - 4*r - 7. What is the units digit of n + (4 - -66) + -1? 2 Let a(v) = 215*v**2 - 7*v - 6. What is the hundreds digit of a(-1)? 2 Let w be (12/10)/(-3) + 187/55. Suppose 4*l - 399 = -9*p + 6*p, 0 = -p - w*l + 128. What is the hundreds digit of p? 1 Let d(u) = 651*u**3 + u**2 + u - 2. Let m be d(1). Suppose -3*v = 5*z + 36 - m, -5*v = 25. What is the units digit of z? 6 Let u(n) = 2*n**2 + 8*n - 14. What is the hundreds digit of u(13)? 4 Let p(y) = -5*y**3 + y**2 - 1. Let s be p(-1). Suppose 3*z = 4*v - 12, s*v - 21 = 5*z - 6. Suppose 8*x - 40 = v*x. What is the units digit of x? 8 Let s(a) = 2*a + 16. Let f be s(-8). Suppose f = 4*p + g - 4, g + 12 = -4*p + 4*g. Suppose 4*x + 20 = p, -4*t = -0*x + x - 167. What is the units digit of t? 3 Let z = 105 - 99. Let t(a) = 4*a - 1. Let s be t(1). Suppose -s*n = -6*n + z. What is the units digit of n? 2 Let x be (3 - -8) + (-1 - 0). Let t be (8/x)/((-34)/(-85)). What is the units digit of t/((8/(-116))/(-1))? 9 Let l(w) = w - 10. Let h be l(7). What is the tens digit of 3/(h*4/(-152)*2)? 1 Let b = 112 + -75. Let h = b - 27. Suppose -3 = -x + h. What is the units digit of x? 3 Let y(g) = g**3 + 7*g**2 + 4*g - 10. Let m be y(-6). Suppose 124 = m*b - 6. What is the tens digit of b? 6 Suppose -3*y + 2 = 2*u + 26, 5*y + 53 = u. What is the hundreds digit of (-6)/y - 637/(-5)? 1 Let w = 4347 - 951. What is the hundreds digit of w? 3 Suppose 0 = -6*u - 570. What is the tens digit of 4 + 0 + (1 - u)? 0 Let b = -16 - -21. Suppose b*m + 7 - 27 = 0. Suppose 0 = -k + 4*h - 2*h + 39, 0 = -m*k - 5*h + 117. What is the units digit of k? 3 Let x(h) = h**3 + 15*h**2 + 6*h - 7. Let v be x(-12). Suppose -5*m = u - v, m = -m + 2*u + 146. What is the units digit of m? 1 Let q = 982 - 588. What is the units digit
{ "pile_set_name": "DM Mathematics" }
5*w**2 Collect the terms in -849 + 520 - 1041 + 98 - 2*k. -2*k - 1272 Collect the terms in 5*y + 25*y + 42*y**2 - 30*y. 42*y**2 Collect the terms in 285*s + 278*s - 1123*s - 84*s**3 + 277*s + 281*s. -84*s**3 - 2*s Collect the terms in -5220*o - 4215*o - 4678*o. -14113*o Collect the terms in -153 + 312 - k - 159 - 2*k. -3*k Collect the terms in -3689 - 10*l + 1843 + 1843. -10*l - 3 Collect the terms in -467*f - 13*f**3 + 467*f + 196*f**3. 183*f**3 Collect the terms in -720*n**3 - 230*n**3 + 342*n**3 + 2*n. -608*n**3 + 2*n Collect the terms in -164 + 164 - 85089*v. -85089*v Collect the terms in -720 + 27*p**3 + 25*p**3 + 720 + 28*p**3 - 79*p**3. p**3 Collect the terms in 31*j**2 - 36*j**2 + 9*j**2 + 26*j**2. 30*j**2 Collect the terms in -2*a - 5134*a**2 - 1 + 2534*a**2 - 3362*a**2 - 5389*a**2. -11351*a**2 - 2*a - 1 Collect the terms in 71838*b - 143642*b + 71817*b. 13*b Collect the terms in -146*x**3 - 5865*x**2 + 5865*x**2. -146*x**3 Collect the terms in -1292*s + 3106*s + 4 - 1815*s. -s + 4 Collect the terms in -167 + 85 + 82 - 39*j. -39*j Collect the terms in 3*l - 6*l - 698*l**3 + 3*l + 387*l**3. -311*l**3 Collect the terms in 782*w**2 + 787*w**2 - 12 + 791*w**2 - 2357*w**2. 3*w**2 - 12 Collect the terms in g - 7758*g**2 - 5*g + 2*g + g - g**3. -g**3 - 7758*g**2 - g Collect the terms in 4*j - 138 - 4*j - 170058*j**2 + 170057*j**2. -j**2 - 138 Collect the terms in 104411*j**2 + 104442*j**2 + 2*j - 208819*j**2. 34*j**2 + 2*j Collect the terms in z**3 + 83*z - 244*z + 79*z + 82*z. z**3 Collect the terms in -11821*f + 0 + 0 + 11821*f - 17*f**2. -17*f**2 Collect the terms in 3 + 172047804*l - 3 - 3*l**2 - 172047804*l. -3*l**2 Collect the terms in 942 - 942 - 5*v. -5*v Collect the terms in -12 + 12 - 67461634*o + 67461633*o. -o Collect the terms in -30*r**3 + 2486*r**2 - 4979*r**2 + 2493*r**2. -30*r**3 Collect the terms in -4*s + 4*s + 9758*s**2 - 9669*s**2. 89*s**2 Collect the terms in -2258*o + 750*o + 759*o + 759*o. 10*o Collect the terms in 41 + 44 - 276*i - 85. -276*i Collect the terms in 0 + 269*g**2 - 270*g**2 - 9*g**3 + 0. -9*g**3 - g**2 Collect the terms in 3137*t**3 - 1042*t**3 - 1021*t**3 - 1044*t**3. 30*t**3 Collect the terms in -122*d + 62*d + 58*d + 16 + 2. -2*d + 18 Collect the terms in -48 + 6*t - 8*t + t. -t - 48 Collect the terms in 102*x**3 - 316*x**3 + 100*x**3 + 115*x**3. x**3 Collect the terms in 320 + 17*x - 30*x + 35*x**2 - 37*x**2 + 14*x. -2*x**2 + x + 320 Collect the terms in 111*y + 38*y - 40*y + 60*y. 169*y Collect the terms in 12*m - 20*m + 8*m - 17814*m**2. -17814*m**2 Collect the terms in 763 + 12*b - 387 - 376. 12*b Collect the terms in 5*r - 816*r**2 + 845*r**2 - 5*r. 29*r**2 Collect the terms in 3*r**2 + 2066 + 1970 - 4036. 3*r**2 Collect the terms in 1774*b - 6 - 1775*b + 6. -b Collect the terms in 19370835*o**2 - 2*o - 19370822*o**2 + 2*o. 13*o**2 Collect the terms in -1572*t - 1582*t + 3167*t + 0 + 0. 13*t Collect the terms in -43*p + 5725*p**2 + 84*p - 41*p. 5725*p**2 Collect the terms in 1245*l**3 - 671*l**3 - 575*l**3. -l**3 Collect the terms in 70930*x + 70936*x + 7*x**2 - 141866*x. 7*x**2 Collect the terms in -3*a - 58 + 3*a - 5*a. -5*a - 58 Collect the terms in 3*a**2 - 3*a**2 + 50*a**3 + 43*a**3. 93*a**3 Collect the terms in -48*f**2 + 18*f**2 + 303*f**2. 273*f**2 Collect the terms in 15 - 2 - 6 - 21*u - 7. -21*u Collect the terms in 2 - 360*m**2 + 3 + 144*m**2 - 3 + 154*m**2. -62*m**2 + 2 Collect the terms in 4*y + 3*y - 73*y**2 + 7 - 7*y. -73*y**2 + 7 Collect the terms in 102*y + 66*y + 100*y - 16*y. 252*y Collect the terms in -30789670 - 10*h + 30789670. -10*h Collect the terms in -35*u**3 - 22*u**3 + 160*u**3 - 39*u**3 - 19*u**3. 45*u**3 Collect the terms in 2663*f + 66*f**2 - 1323*f - 1340*f. 66*f**2 Collect the terms in 75*a - 75*a - 1643*a**2. -1643*a**2 Collect the terms in -893 - 552*q - 873 + 1766. -552*q Collect the terms in -14482*b - 3*b**2 + 14482*b. -3*b**2 Collect the terms in 949267*i**3 - 2847821*i**3 + 949272*i**3 + 949278*i**3. -4*i**3 Collect the terms in -1286*s + 2059*s - 768*s. 5*s Collect the terms in -213*x**2 - 250*x**2 + 672*x**2 - 211*x**2. -2*x**2 Collect the terms in 10390*r - 21985*r + 11594*r. -r Collect the terms in 25*b + 131*b - 10*b. 146*b Collect the terms in 4778*t - 2401*t - 2377*t + 59*t**3. 59*t**3 Collect the terms in -26*p**2 - 22*p + 40*p - 18*p. -26*p**2 Collect the terms in 26*v**2 - 1 + 0 + 1 + 134*v**2. 160*v**2 Collect the terms in 27*s - 23*s + 185 - 8*s. -4*s + 185 Collect the terms in 356917 + 2*j - 713844 + 356927. 2*j Collect the terms in -155*c - 145*c + 450*c - 154*c. -4*c Collect the terms in 18*t**2 - 709 + 3*t - 21*t**2 - 2*t + 6*t. -3*t**2 + 7*t - 709 Collect the terms in -5*v - 3*v - v + 785. -9*v + 785 Collect the terms in 0*k - 16*k - 437 + 3*k + 438. -13*k + 1 Collect the terms in 4*x - 4*x - 23657925 + 16*x**3 + 23657925. 16*x**3 Collect the terms in -47*j + 23*j**3 + 21*j + 20*j - 3*j**3 + 8*j. 20*j**3 + 2*j Collect the terms in -55605*w - 55595*w + 166790*w - 55594*w. -4*w Collect the terms in -i - 135*i + 149*i. 13*i Collect the terms in -273*s - 260*s + 507*s - 1. -26*s - 1 Collect the terms in -1423*l - 1133*l + 4 - 4. -2556*l Collect the terms in -28345*p - 117*p**2 + 28345*p. -117*p**2 Collect the terms in -224 + 6*t**2 + 99 - 10*t**2 + 65. -4*t**2 - 60 Collect the terms in 273*s**2 - 582*s**2 + 291*s**2. -18*s**2 Collect the terms in 3065*c - 8*c**3 - 3065*c + 16 - 16. -8*c**3 Collect the terms in 169*g - 32*g + 116*g. 253*g Collect the terms in -2 + 66212*h**3 + 2 - 66233*h**3. -21*h**3 Collect the terms in -3 + d**2 - 3*d**2 + 4 - 7 - 1. -2*d**2 - 7 Collect the terms in -6*q**2 + 43*q**2 + 256*q**2. 293*q**2 Collect the terms in 36*y + 0*y - 88*y - 13*y**2 + 2. -13*y**2 - 52*y + 2 Collect the terms in -10*k + 550 - 291 + 12*k - 295. 2*k - 36 Collect the terms in 49*m**3 - 48*m**3 + 24 - 195*m - 30. m**3 - 195*m - 6 Collect the terms in -4*f + 2 - 7 - 4*f - 14*f + 20*f. -2*f - 5 Collect the terms in -2563*t + 2*t**2 - 3*t**2 + 7393*t. -t**2 + 4830*t Collect the terms in 7*o + 482*o**2 - 62440 + 62440 - 7*o. 482*o**2 Collect the terms in -69054967*a + 26*a**3 + 69054967*a - 29*a**3. -3*a**3 Collect the terms in 171*r**2 + 186*r**2 + 183*r**2 - 543*r**2. -3*r**2 Collect the terms in -51*k - 98*k - 285*k - 34*k. -468*k Collect the terms in 42*n**3 - 10000 + 10000 + 16*n**2 - 19*n**2 + 6*n**3. 48*n**3 - 3*n**2 Collect the terms in -23*a**3 - 23549*a**2 + 23549*a**2. -23*a**3 Collect the terms in -22321 + 0*m - m**2 + 2*m - 4*m. -m**2 - 2*m - 22321 Collect the terms in 10914916 + 7*l**2 - 10914916 - 5*l**2. 2*l**2 Collect the terms in 3393971 - 3393971 + 156*n. 156*n Collect the terms in -91 + 127 - 35 - 3*d**3. -3*d**3 + 1 Collect the terms in 6*w - w - 5*w - 278*w**3 + 151*w**3 + 4. -127*w**3 + 4 Collect the terms in -3284 + q**3 - 3274 + 5*q**3 - 3276 + 9834. 6*q**3 Collect the terms in 0*h**3 - 1 - 706721*h + 706721*h + 2*h**3. 2*h**3 - 1 Collect the terms in -96 - 96 - 8684*n - 96 + 288. -8684*n Collect the terms in -142519*l**3 - 152*l + 152*l + 142527*l**3. 8*l**3 Collect the terms in -77*c**2 - 32*c**2 + 3 - 6 + 3. -109*c**2 Collect the terms in -13*g - 8184 + 34*g**2 + 8184 + 13*g. 34*g**2 Collect the terms in -344*u**2 - 303012 + 303012. -344*u**2 Collect the terms in -140*u**3 + 1045*u**3 + 991*u**3 - 275*u**3. 1621*u**3 Collect the terms in -643 + 643 + 262*v**3. 262*v**3 Collect the terms in 7*v + 157*v**3 + 58*v**3 + 641*v**3 + 6*v. 856*v**3 + 13*v Collect the terms in 10678 - 21414 - 44*q**2 + 10736. -44*q**2 Collect the terms in -203*g - 128*g + 530*g - 201*g. -2*g Collect the terms in 4*i + 19 + 5*i - 87 - 11*i. -2*i - 68 Collect the terms in -298 - 5*p + 298 - 5*p. -10*p Collect the terms in 5*n - 4060 + 3*n + n - 3*n - 4*n. 2*n - 4060 Collect the terms in -59*t**2 + 149*t**2 - 89*t**2. t**2 Collect the terms in -28528*x + 14286*x + 14296*x + 2. 54*x + 2 Collect the terms in 174*k**3 + 3*k - 176*k**3 + 2*k. -2*k**3 + 5*k Collect the terms in -3*c + 13*c**2 + 27*c**2 - 37*c**2. 3*c**2 - 3*c Collect the terms in 342*x + 353*x + 348*x - 1039*x. 4*x Collect the terms in 5*u**3 + u**2 - 7 + 1 + 6. 5*u**3 + u**2 Collect the terms in 184*y - 20*y + 859*y. 1023*y Collect the terms in -99 - 6*c**3 - 101 + 200. -6*c**3 Col
{ "pile_set_name": "DM Mathematics" }
) 690/7 (c) -0.5 c Which is the nearest to -0.16? (a) 2 (b) 2/5 (c) 0.1 (d) -0.3 d Which is the closest to -0.1? (a) -2 (b) -127 (c) 3/4 c Which is the closest to -1? (a) -5/2 (b) -2 (c) 1/10 (d) 5 b Which is the closest to -4? (a) -1/4 (b) -0.38 (c) 2 b What is the closest to -1/3 in -18/13, 1/3, -0.1, 3/2? -0.1 Which is the nearest to 0.275? (a) -0.3 (b) 2/5 (c) -3/4 (d) 1 b What is the nearest to 0.1 in -9/2, 7, 5? -9/2 What is the nearest to -8 in 3/4, 31, 2, 0? 0 What is the nearest to -26 in 4, -0.4, 0.3, -2/31? -0.4 Which is the closest to -17? (a) -0.4 (b) -1 (c) 8/193 b What is the closest to -2/7 in 0.3, 3/7, -0.5? -0.5 What is the nearest to -2/3 in 0.5, -5, -6? 0.5 What is the nearest to 0.2 in 2/31, 0.1, 0.5? 0.1 What is the nearest to -39 in -1/2, -3, -1/4? -3 What is the nearest to -2/17 in -7, 3, -4? 3 What is the nearest to -4 in -1, -5, -35, 0.2? -5 What is the nearest to -1 in -3, -2, 10.6? -2 What is the nearest to -1 in 0.277, -0.1, -3, 0.7? -0.1 What is the closest to 1 in 0.4, -6.2, -4.4, 1? 1 What is the nearest to 1 in 1/3, 0, -43? 1/3 Which is the closest to -2/7? (a) 2 (b) 3 (c) 2/7 c Which is the closest to 2/7? (a) 2/15 (b) 0.2 (c) -2 b What is the nearest to -0.1 in -96, -0.5, -4/7, 5? -0.5 Which is the nearest to 29? (a) 5 (b) -1 (c) -0.5 a What is the nearest to -2/119 in -1/4, -1/11, 0, 1/4? 0 What is the nearest to 0 in 2/13, 4/7, 2/205, 1? 2/205 What is the nearest to 1/4 in -0.4, -2, 0.2, 1/11? 0.2 Which is the closest to 0.1? (a) 2 (b) 5 (c) -2/11 (d) 6 c What is the nearest to 26.5 in 3, 3/8, -2? 3 What is the closest to -1/4 in -0.01, 0.1, -31? -0.01 Which is the closest to -2/7? (a) -670/9 (b) 0.1 (c) -2 b Which is the nearest to -2.4? (a) 7 (b) 1/5 (c) -1/3 c What is the nearest to -3/8 in -0.2, 4/7, -7, 3? -0.2 What is the closest to -2/5 in -0.5, 5, 315? -0.5 What is the closest to 1 in 6/5, -3, -2/3, -2? 6/5 What is the nearest to -0.2 in -1.67, 1, 0.2? 0.2 Which is the closest to -0.9? (a) 0.5 (b) -2/3 (c) 21 b Which is the closest to 3? (a) -0.6 (b) 3 (c) -12 (d) 3/4 b Which is the closest to -2? (a) 15 (b) -2 (c) -0.4 (d) -1/2 b Which is the nearest to 1? (a) 6 (b) 1/27 (c) -1.1 (d) -1/3 b Which is the nearest to -1? (a) -10 (b) -1 (c) -5 (d) -0.3 b Which is the nearest to 6/7? (a) -344 (b) -0.4 (c) -2/3 b What is the closest to -5 in 3, -1/3, -3? -3 Which is the closest to 1/4? (a) -69 (b) 4 (c) 1/8 c What is the closest to 4/5 in -1/2, -2/7, 4? -2/7 Which is the closest to -0.04? (a) 0 (b) 0.1 (c) 9/2 (d) -1/5 a Which is the nearest to 0? (a) 61 (b) 0.3 (c) 2/5 b What is the nearest to 0.2 in 4, -0.2, 32? -0.2 What is the closest to 0 in -1, 0.13, -1/7, 5? 0.13 Which is the nearest to -0.3? (a) -4 (b) 5/2 (c) -5 b Which is the nearest to 2/5? (a) 6 (b) 74.1 (c) 0.5 c What is the nearest to 0 in -4, 2/7, 1? 2/7 Which is the nearest to -0.2? (a) 1 (b) 0 (c) -14 b Which is the nearest to -1? (a) 0.2 (b) 159 (c) 0.3 a Which is the nearest to -25? (a) 5 (b) 3 (c) 1/2 c Which is the nearest to 2/5? (a) -2/27 (b) 2/7 (c) 15.5 b Which is the closest to -0.2? (a) -0.3 (b) -0.8 (c) 3/5 (d) 2 a Which is the nearest to 0.1? (a) 10 (b) -1 (c) -5 b Which is the closest to 9? (a) 0.1 (b) 0.3 (c) -1 b Which is the closest to 4/5? (a) -2/11 (b) 5 (c) -3 a What is the closest to 204 in 0.1, -0.3, 1/6, -0.5? 1/6 What is the nearest to -21.3 in 0.2, -0.5, 2/17? -0.5 What is the closest to -1/2 in -72, 0.1, 1/2? 0.1 What is the closest to 0 in 1.6, -0.3, -0.4, -3? -0.3 Which is the closest to 1/8? (a) -2/15 (b) -0.07 (c) 0.2 c Which is the closest to 2.7? (a) 0 (b) 3/7 (c) -2/77 b Which is the closest to 1? (a) -5/4 (b) -1 (c) -21 (d) -0.04 d Which is the nearest to -2/5? (a) 0.4 (b) -0.1 (c) -0.02 b Which is the closest to 745? (a) -0.1 (b) 1 (c) -3 b Which is the closest to 0? (a) -24 (b) 2/5 (c) 0.5 b What is the nearest to 0.1 in 8/5, -0.2, 0.057? 0.057 Which is the closest to -3/5? (a) 2/21 (b) 0.1 (c) 1/9 (d) 5 a What is the nearest to -1/1044 in -2/9, -0.2, -0.1, -4? -0.1 What is the closest to 0.1 in -24, 1/6, 0? 1/6 Which is the closest to 0? (a) 93/7 (b) -1/3 (c) 6/5 (d) 0 d What is the closest to -0.104 in 1, 5, -2/7, -4? -2/7 What is the closest to 2/5 in 2/15, 3, 0? 2/15 Which is the nearest to 3? (a) -4 (b) -2/27 (c) 0 c What is the nearest to 3 in 60, 0, -1/2, 2/3? 2/3 What is the nearest to -1 in -465, 0, 2/7? 0 Which is the nearest to -1? (a) 0.4 (b) -0.3 (c) 26 (d) -18 b Which is the closest to 2? (a) 0.07 (b) -1/4 (c) 0.1 (d) 1/4 d What is the nearest to -20 in -5, 1/7, 4, 0.4? -5 What is the closest to 12 in -5, 0.1, 0, -2/15? 0.1 What is the closest to 1.5 in -1, 0, -5, -2/5? 0 Which is the closest to 1? (a) -16 (b) 0 (c) 3 b Which is the nearest to 1.4? (a) 2/3 (b) 0 (c) -3 (d) -1/6 a Which is the nearest to 15? (a) -5 (b) -1/3 (c) 1/2 c Which is the nearest to 8? (a) 4 (b) 3/7 (c) 26 (d) -0.5 a Which is the nearest to -1? (a) 0.4 (b) 0.3 (c) 1.4 (d) -0.1 d What is the closest to -1/9 in -3/5, 0.8, -0.1, 4? -0.1 Which is the nearest to -1? (a) 30 (b) -1 (c) 3 (d) 19 b What is the nearest to 2/3 in -2/11, -3, 0.3? 0.3 Which is the closest to -0.05? (a) 0 (b) 0.2 (c) -2/11 (d) 5/8 a Which is the closest to -0.3? (a) -2/3 (b) -1/3 (c) 2 (d) -0.3 d Which is the nearest to 3? (a) -0.08 (b) 0.2 (c) 0.6 (d) -5 c Which is the nearest to -1/2? (a) -2 (b) -3/4 (c) -1/7 (d) -0.01 b Which is the closest to -1.8? (a) 3 (b) 5 (c) -2 c What is the nearest to 0.1 in 0.3, -3/16, -1? 0.3 What is the closest to 2 in -0.6, -0.594, -4/3? -0.594 What is the closest to -1 in -4/5, -4/3, 89/5, 5? -4/5 Which is the closest to 0.2? (a) 0.3 (b) 0 (c) -0.6 (d) -2/11 a What is the closest to -1/2 in 3, -16, -8? 3 What is the nearest to 84 in -0.3, -0.5, -2, -35? -0.3 Which is the closest to 5/3? (a) 5 (b) 21 (c) 2/7 c Which is the nearest to 7/5? (a) -5 (b) -0.2 (c) 1 c What is the closest to 1 in -5, -2/25, 0.1, 5? 0.1 Which is the closest to 0.1? (a) -0.1 (b) -12 (c) 2 (d) -34 a What is the closest to -1 in 1/6, -3/5, 2/13, -1/7? -3/5 What is the nearest to 0 in 0, 2/17, 0.011, -3? 0 What is the closest to -0.1 in 0.1, 2, -4, 1? 0.1 What is the closest to -0.1 in 30, -0.3, -3? -0.3 What is the nearest to 1/4 in -3, 0.3, 5, 2? 0.3 What is the closest to 1/2 in 2, 18, -3, 8/25? 8/25 What is the nearest to -28 in -5, 2/9, 0.5, -2/3? -5 What is the closest to 0.1 in 2.8, -2/25, -4/5, 5/4? -2/25 Which is the closest to -1/3? (a) -1 (b) 10/9 (c) -12 a Which is the nearest to 0? (a) -3 (b) -2/3 (c) 15 b What is the closest to 34 in 3, 0, 1.6? 3 What is the nearest to 0.1 in 0.3, -11, 3? 0.3 What is the closest to 2 in 3/4, -0.23, 0, -0.4? 3/4 What is the nearest to 1 in 5, -50, 2/5, -5? 2/5 What is the closest to -0.09 in 0.1, 5, -3? 0.1 Which is the nearest to 11? (a) -0.3 (b) 0.2 (c) 1/6 b Which is the closest to 1.4? (a) -2 (b) -5 (c) -1/3 c What is the closest to -5/8 in 0.3, 1, -5, 1/2? 0.3 What is the closest to -2/5 in 0.02, 1/3, -2/17, -0.09? -2/17 Which is the closest to 2/9? (a) 146 (b) 3/7 (c) -1 b Which is the nearest to 0.2? (a) 1/7 (b) 2/15 (c) 0.4 (d) -0.1 a What is the closest to 4 in 0, -3, -2/7, -2? 0 What is the nearest to 0 in -116, -0.3, -2/5, -3? -0.3 Which is the closest to 0.091? (a) 4/7 (b) 4 (c) -0.4 (d) -0.2 d Which is the nearest to -1? (a) 2/11 (b) 1 (c) 2/3 (d) 109 a What is the nearest to -0.1 in 2/5, 37, -1, -4? 2/5 What is the nearest to 1/3 in 0.8, 0.3, 4, -1/52? 0.3 Which is the closest to -1? (a) -0.1 (b) 2/3 (c) -47 (d) -1 d Which is the nearest to 1/4? (a) 10 (b) 2/5 (c) 13/3 b Which is the nearest to -3/10? (a) -1/4 (b) 0 (c) 1 a What is the closest to 3 in -4/3, -1.08, 0.2? 0.2 Which is the closest to -1/6? (a) -0.2 (b) -4 (c) 4 (d) 2/7 a What is the nearest to 4 in -1/2, 4, -1, -3? 4 Which is the closest to 3.8? (a) -0.3 (b) -4 (c) -60 a What is the closest to 1 in 1, -0.4, 213, 2? 1 What is the closest to 2/5 in 14/11, -4, -0.4? -0.4 Which is the closest to -1/2? (a) 0 (b) 0.1 (c) -4/3 a Which is the nearest to -3? (a) -2 (b) -1 (c) -0.1 a
{ "pile_set_name": "DM Mathematics" }
d thousand? -5500000 Let a = -15 + 16.6. Let m = 0.4 + a. Let g = -2.006 + m. Round g to two decimal places. -0.01 Let h = -8 - 3. Let l = -26.8 - h. Let q = -15.799913 - l. Round q to 5 dps. 0.00009 Let s = -112 + 111.953. Round s to 3 dps. -0.047 Suppose 0 = -5*d + 5*c - 1065533 - 29452, 3*d - 2*c + 656994 = 0. Round d to the nearest one hundred thousand. -200000 Suppose -2*m + 3*p + 86009 = 0, m - 4*p - 43015 = p. Round m to the nearest 10000. 40000 Let i = 72.3 + -72.673. Let w = -0.35 - i. Let d = -0.0229957 + w. Round d to six dps. 0.000004 Suppose 0 = -b - 0*q - 5*q - 510015, 2*b = 2*q - 1019994. Round b to the nearest one hundred thousand. -500000 Let l be 26957/14*-94 + (-4 - -1). What is l rounded to the nearest one hundred thousand? -200000 Let g = 34 + -37.1. What is g rounded to the nearest integer? -3 Suppose 9*a + 8500000 = 8*a. What is a rounded to the nearest one million? -9000000 Let b(k) = -81*k - 16. Let h be b(3). Round h to the nearest 100. -300 Let i = -6 - -6.0000065. Round i to six decimal places. 0.000007 Suppose j - 18921552 = -5421558. Suppose -5*u - 3*i = j, 5*i - 3604360 = -3*u - 11704350. What is u rounded to the nearest 1000000? -3000000 Let z = -2.2 + 11.2. Let d = -8.99999985 + z. What is d rounded to seven dps? 0.0000002 Let z = 0.4 - 0.415. Let a = 0.21 + -0.2. Let u = z + a. What is u rounded to two decimal places? -0.01 Suppose 0*q - 1530000 = -9*q. Round q to the nearest ten thousand. 170000 Let q(t) = 3*t + t + t**2 + 6 - 3. Let g be q(-4). Suppose -5*i - v = -g*v + 3244, 2597 = -4*i + v. Round i to the nearest one hundred. -700 Let r = 0.04 - -1.56. Let s = r + -1.599987. Round s to 5 dps. 0.00001 Let m = 307 - 306.831. Round m to 1 decimal place. 0.2 Let y = 7 + -6.6. Let t = y + -0.17. What is t rounded to 1 dp? 0.2 Let m = 16.026 + -16. Let p = m + -0.02600145. Round p to 7 decimal places. -0.0000015 Suppose -t + 26499995 = c, 3*c = -t + 52682888 + 26817107. What is c rounded to the nearest 1000000? 27000000 Suppose 5*d = 5*r + 24930, -2*d - 4*r + 1375 = -8621. Suppose 2*f + d = -5*j - 0*j, 4*j + 5*f + 3975 = 0. What is j rounded to the nearest one thousand? -1000 Let o = 101.9874 + -102. Round o to three decimal places. -0.013 Let h = -272 + 159. Let s = h + 119.7. What is s rounded to the nearest integer? 7 Let w be (0 - 2)/(3 + -2). Let v(g) = -2 + g**2 - 2*g**2 - g + 2*g**2 + 0. Let b be v(w). What is b rounded to the nearest 10? 0 Let j = 262 - 262.0000628. Round j to 5 decimal places. -0.00006 Let m = -8 - -19. Let i(v) = -v**3 - 15*v**2 + 12*v + 14. Let d be i(m). Round d to the nearest ten thousand. 0 Suppose 6*d - 6900 = 7*d. Round d to the nearest 1000. -7000 Let h = -2 - -0.5. Let t = -2.8 - h. Let u = -1.06 - t. What is u rounded to one decimal place? 0.2 Let x = -210.99999889 + 211. What is x rounded to 7 decimal places? 0.0000011 Let n = -1778441537.66 - 36950452.34. Let z = 1815391876.99999898 + n. Let l = -113 - z. Round l to seven dps. 0.000001 Let m = -0.94 + 1.72. What is m rounded to one decimal place? 0.8 Let u = 10 + -9.97. Let d = u - 0.45. What is d rounded to 1 decimal place? -0.4 Let z(h) be the first derivative of 13*h**2 - 2*h + 1. Let r be z(2). Let v be (-74)/(-8)*r*8. Round v to the nearest 1000. 4000 Let u be -177200*((-2)/8 - 110/(-40)). What is u rounded to the nearest ten thousand? -440000 Suppose 0 = -4*k - h + 2, 4*k - 2*h = 8. Let z be (0 - -20)*(321 - k). What is z rounded to the nearest one thousand? 6000 Let x = -43 - -43.19. Let u = x + 0.17. Round u to one dp. 0.4 Let y = 208 + -207.9999814. Round y to six decimal places. 0.000019 Let c = -57.99999995 - -58. Round c to 7 dps. 0.0000001 Let o = -24.04 - -0.04. Let f = o + 24.56. Round f to 1 dp. 0.6 Let s = -1.5 + 1.500036. What is s rounded to five decimal places? 0.00004 Let x = -6.1 + 6. Let p = 1.1 + x. Let o = 0.9988 - p. What is o rounded to three decimal places? -0.001 Let l = 4317.65 + -4318.449999. Let p = 0.8 + l. Round p to six dps. 0.000001 Let r = -0.257 + -5.073. What is r rounded to 0 dps? -5 Let u = 0.240026 + -0.24. What is u rounded to 5 decimal places? 0.00003 Let d = 0.105 - 61.105. Let f = -61.00000027 - d. What is f rounded to 7 dps? -0.0000003 Let x = 0.0296 - 2.2396. Round x to 1 dp. -2.2 Let l(h) be the first derivative of -56*h**2 - 10*h - 8. Let g be l(-10). Round g to the nearest 100. 1100 Suppose 127952 = -8*d - 32048. Round d to the nearest 10000. -20000 Let o = -3987.8 + 3987.8136994. Let s = o - 0.3895464. Let p = 0.376 + s. Round p to five decimal places. 0.00015 Let w = 1057.478 - 1071.5. Let b = w - -14. Round b to 2 decimal places. -0.02 Let u be 2/(-3) - 239990/(-3). Suppose y - 4*k - 20008 = 0, -5*y - 2*k = -y - u. What is y rounded to the nearest 10000? 20000 Suppose 3*r + 744624 - 14445 = -a, -3*a + 3*r = 2190573. Let u = -1430188 - a. What is u rounded to the nearest one million? -1000000 Let q = 130 - 82. Let p = q + -54.9. Round p to 0 decimal places. -7 Suppose -3*h - 2000000 = -5*h. What is h rounded to the nearest one million? 1000000 Let q = 96.999957 - 97. Round q to five decimal places. -0.00004 Suppose -3*v + 2*v = 4*t - 8, 5*t + v - 10 = 0. Suppose -t*x + 19890 = 208. Let h = x + -6541. What is h rounded to the nearest one thousand? 3000 Let a(j) = -j**2 - 2*j + 1. Let z be a(-2). Let t be 268 - (-1)/(z/2). Round t to the nearest one hundred. 300 Let a = -95 + -55.1. Let z = a + 143. What is z rounded to 0 dps? -7 Let h be -2*1 + 98*-9041. Let q = h + 456020. What is q rounded to the nearest 100000? -400000 Suppose -2*k + 16399995 = -5*c, 0 = -2*k - 4*c + 14386894 + 2013110. What is k rounded to the nearest one million? 8000000 Let n = -0.01 - -0.00976. Round n to four decimal places. -0.0002 Let r be 34654/4 - (-3)/6. Let z = r + -14664. What is z rounded to the nearest one thousand? -6000 Let r = 19 + -18.6. Let l = r - 0.39985. Round l to 4 decimal places. 0.0002 Let l(h) = h**3 - 11*h**2. Let f be l(11). Suppose f = -9*q + 4*q - 34000000. What is q rounded to the nearest one million? -7000000 Let y be -5*(-150)/(-7)*64400. Round y to the nearest one million. -7000000 Suppose 0 = 5*l - 117097090 - 45075455. Let v = l + -18956238. Let m = v - 19278271. Round m to the nearest 1000000. -6000000 Suppose 2*y = y + 8187. Let t = 9095 - 14082. Let v = t + y. Round v to the nearest one thousand. 3000 Let z = 248271282817.99991 + -248268161567. Let p = -3121228 + z. Let y = p + -23. What is y rounded to 4 dps? -0.0001 Let u = -0.21642433 - 0.78357397. Let n = -4 + 5. Let r = n + u. What is r rounded to six dps? 0.000002 Let x = -1.1 + 0.5. Let h = 0.77 + x. Let r = -0.17076 + h. What is r rounded to four decimal places? -0.0008 Let d = -152.99 - 2.01. Let x = d + 1. Let j = x + 154.00000077. What is j rounded to 7 dps? 0.0000008 Let s = 4.3 - 84.3. Let k = -79.61 - s. Round k to 1 decimal place. 0.4 Let k(n) = 105*n**2 - 7*n + 6. Suppose 0*l - 35 = 5*l. Let y be k(l). Round y to the nearest 1000. 5000 Let l = 67.952 + -68. Round l to two decimal places. -0.05 Let d = -77353846 - -45253846. Round d to the nearest 1000000. -32000000 Suppose -t + 402 = 3*h - 3078, -1167 = -h + 2*t. Suppose 4*y = -1759 - h. What is y rounded to the nearest 100? -700 Let n(o) = 2*o**2 + 3*o - 4. Let b be n(-3). Suppose 2*q = 5*k - 10, b*q + 3*k = 4*k - 48. Round q to the nearest 10. -10 Let a = -13512.27124258 - -13501.35299. Let t = -0.08168542 + a. Let b = 11 + t. What is b rounded to 5 decimal places? 0.00006 Let h = 28.45 + -28. Round h to one decimal place. 0.5 Suppose 47*l - 2200000 = 51*l. Round l to the nearest 100000. -600000 Let b be 43663/(-2)*(-4)/2. Suppose -u = -26337 - b. Round u to the nearest one hundred thousand. 100000 Let j = -8.94 + 9. Let a = j - -0.01. Let l = -0.014 - a. What is l rounded to two dps? -0.08 Let r(h) = -h**3 - 9*h**2 - 10*h - 2. Let k(l) = l + 1. Let u be k(-9). Let a be r(u). Let w be (12/a)/(1/63). Round w to the nearest ten. 50 Let n(i) = -15*i**2 - 6*i + 4. Let d(u) = u - 3. Let j be d(-3). Let w be n(j). What is w rounded to the nearest 100? -500 Let j = -0.08 - -0.01. Let v = 0.13 - j. Let k = v + -0.20000075. What is k rounded to seven dps? -0.0000008 Let g = -0.064 + 0.13. Let h = -0.504 - g. Round h to 1 dp. -0.6 Suppose 0*x - 2*x = 0
{ "pile_set_name": "DM Mathematics" }
c**2 - 4780*c - 14376 = 0. -3, 1198 Factor 3*m**4 + 549*m**3 + 3186*m**2. 3*m**2*(m + 6)*(m + 177) Factor -y**2/4 - 115*y/2 + 18459/4. -(y - 63)*(y + 293)/4 Factor 5*y**2/3 - 15850*y. 5*y*(y - 9510)/3 Factor b**3/3 - 6385*b**2 + 12769*b - 19153/3. (b - 19153)*(b - 1)**2/3 Suppose -14*s**4/13 - 18*s**3 - 352*s**2/13 + 120*s/13 = 0. Calculate s. -15, -2, 0, 2/7 Factor -3*i**2 + 12666*i - 25320. -3*(i - 4220)*(i - 2) Find z such that -2*z**2 + 9530*z - 76112 = 0. 8, 4757 Factor -4*k**5 + 2184*k**4 + 26640*k**3 + 80352*k**2. -4*k**2*(k - 558)*(k + 6)**2 What is f in -f**5/3 - f**4/3 + 614*f**3 + 7782*f**2 - 63099*f + 102789 = 0? -27, 3, 47 Find j such that -3*j**3/4 + 5749*j**2/4 - 688802*j + 229441 = 0. 1/3, 958 Suppose -2*p**4 - 6768*p**3 - 5128992*p**2 + 1009677312*p - 44511731712 = 0. Calculate p. -1776, 84 Factor -2*m**2/3 - 3040*m/3 - 41384. -2*(m + 42)*(m + 1478)/3 Solve m**2/6 + 92728*m/3 - 61819/2 = 0 for m. -185457, 1 Factor -2*q**4 + 90*q**3 - 996*q**2 + 2752*q + 3840. -2*(q - 30)*(q - 8)**2*(q + 1) Determine f so that -3*f**2/8 - 1298763*f/4 - 562261776723/8 = 0. -432921 Find x, given that -2*x**5/7 + 2284*x**4/7 - 866382*x**3/7 + 107990636*x**2/7 + 63331016*x + 334457808/7 = 0. -3, -1, 382 Suppose n**2/7 + 8437*n/7 - 16878/7 = 0. Calculate n. -8439, 2 Find x such that x**2/2 - 1519*x + 2307361/2 = 0. 1519 Factor -4*u**2 + 30344*u - 60672. -4*(u - 7584)*(u - 2) Suppose 8*i**5/3 - 296*i**4 + 11954*i**3/3 - 14004*i**2 + 33488*i/3 - 2560 = 0. What is i? 1/2, 4, 10, 96 Find i such that -i**4/2 + 13*i**3 - 115*i**2/2 - 171*i = 0. -2, 0, 9, 19 Determine h, given that -h**2/5 - 36616*h/5 - 335182864/5 = 0. -18308 Determine l, given that 2*l**4/3 - 14*l**3 + 66*l**2 - 90*l = 0. 0, 3, 15 Find i, given that -3*i**3 + 1815*i**2 - 7197*i - 9015 = 0. -1, 5, 601 Let -8*v**4/13 + 842*v**3/13 + 1528*v**2/13 - 3210*v/13 = 0. Calculate v. -3, 0, 5/4, 107 Factor j**3/4 + 92*j**2 + 361*j - 1092. (j - 2)*(j + 6)*(j + 364)/4 Suppose t**5 - 255*t**4 - 778*t**3 + 1032*t**2 = 0. What is t? -4, 0, 1, 258 Factor 4*v**2 + 1076*v - 6600. 4*(v - 6)*(v + 275) Solve -d**4/3 - 28*d**3/3 + d**2 + 86*d/3 + 56/3 = 0. -28, -1, 2 Factor -5*k**4 + 8895*k**3 + 71480*k**2. -5*k**2*(k - 1787)*(k + 8) Factor -4*t**3 - 2664*t**2 + 111360*t - 1129600. -4*(t - 20)**2*(t + 706) Solve 16*y**4 - 467120*y**3 + 467108*y**2 - 116776*y = 0. 0, 1/2, 29194 Let -13077*o**3 + 60996*o**2 - 34732*o - 80 = 0. Calculate o. -10/4359, 2/3, 4 Factor -2*k**2 - 963504*k - 116042494752. -2*(k + 240876)**2 Determine h, given that 2*h**5/13 + 240*h**4/13 + 2034*h**3/13 + 3988*h**2/13 - 72*h - 5328/13 = 0. -111, -6, -2, 1 Factor -2*s**2/5 - 2856*s/5 + 222296/5. -2*(s - 74)*(s + 1502)/5 Factor 5*l**3 - 320*l**2 - 32300*l - 375760. 5*(l - 122)*(l + 14)*(l + 44) Factor -2*c**3/7 + 12*c**2/7 + 122*c/7 - 60. -2*(c - 10)*(c - 3)*(c + 7)/7 Factor -v**3/2 + 1189*v**2/2 + 34238*v - 34832. -(v - 1244)*(v - 1)*(v + 56)/2 Solve -f**5 + 38650*f**4 - 38649*f**3 = 0. 0, 1, 38649 Determine y, given that 5*y**4 + 2435*y**3 + 213895*y**2 - 2435*y - 213900 = 0. -372, -115, -1, 1 Factor 4*h**4 - 6872*h**3 + 2972068*h**2 - 17647296*h + 26378496. 4*(h - 856)**2*(h - 3)**2 Determine n, given that 4*n**3 + 3216*n**2 - 710640*n + 35061248 = 0. -992, 94 Determine d so that -4*d**3 - 1861072*d**2 - 216476172884*d - 432944901512 = 0. -232633, -2 Determine q, given that q**3 + 166*q**2 + 3289*q + 17424 = 0. -144, -11 What is t in 3*t**2/5 + 12816*t/5 + 17913 = 0? -4265, -7 Solve -2*f**3/5 + 14*f**2/5 + 4592*f/5 + 4576/5 = 0 for f. -44, -1, 52 Determine j so that -3*j**5 + 756*j**4 + 37185*j**3 + 549882*j**2 + 2566320*j = 0. -17, -10, 0, 296 Factor 2*r**2/23 - 5397028*r/23 + 3640988904098/23. 2*(r - 1349257)**2/23 What is s in s**2/6 + 511028*s/3 + 130574808392/3 = 0? -511028 Let -6*j**5/7 - 54*j**4/7 + 456*j**3/7 + 5304*j**2/7 + 14400*j/7 + 9600/7 = 0. Calculate j. -10, -4, -1, 10 Find y such that 6*y**2/7 - 22884*y/7 + 114270/7 = 0. 5, 3809 Let -u**3/2 + 6806*u**2 - 46308021*u/2 - 46335249 = 0. What is u? -2, 6807 Factor -u**3/2 - 17*u**2/2 + 95*u + 1300. -(u - 13)*(u + 10)*(u + 20)/2 Suppose -5*j**2 - 2874*j - 193752 = 0. Calculate j. -2484/5, -78 Suppose -3*v**5/2 - 81*v**4/2 - 219*v**3 - 180*v**2 = 0. What is v? -20, -6, -1, 0 Factor -28*a**2 - 2370000*a + 338572. -4*(a + 84643)*(7*a - 1) Factor -w**2 - 7610*w + 114375. -(w - 15)*(w + 7625) Determine x, given that -3*x**4/2 - 9*x**3/2 + 2805*x**2/2 + 34029*x/2 - 18411 = 0. -19, 1, 34 Factor -3*d**3 - 256218*d**2 + 3*d + 256218. -3*(d - 1)*(d + 1)*(d + 85406) Factor 4*i**2 + 24032*i - 96192. 4*(i - 4)*(i + 6012) Find l such that 2*l**2/15 + 777332*l/5 + 226591889334/5 = 0. -582999 Solve -5*b**4 + 4900*b**3 - 72690*b**2 + 304220*b - 236425 = 0 for b. 1, 7, 965 Suppose 2*r**2 + 270508*r + 9146822258 = 0. What is r? -67627 Determine n, given that -n**3 + 22*n**2 + 968*n = 0. -22, 0, 44 Find u, given that u**4/4 - 58*u**3 - 2352*u**2 - 15968*u - 30016 = 0. -28, -4, 268 Factor g**3/5 - 494*g**2/5 - 1988*g/5 - 1992/5. (g - 498)*(g + 2)**2/5 Suppose -w**2/4 - 290649*w/4 + 145325/2 = 0. Calculate w. -290650, 1 Factor -b**2/3 + 7593*b + 45570. -(b - 22785)*(b + 6)/3 Let -5*w**2/6 - 15503*w/2 - 18602/3 = 0. What is w? -9301, -4/5 Let 3*y**3 + 1725*y**2 + 330225*y + 21048375 = 0. Calculate y. -205, -185 Determine v so that -16*v**5/5 + 628*v**4 + 5532*v**3/5 + 2376*v**2/5 = 0. -1, -3/4, 0, 198 Factor -5*x**2 - 6115*x - 18300. -5*(x + 3)*(x + 1220) Factor -4*j**4/7 + 7016*j**3 - 150700164*j**2/7 - 43078240*j - 150798400/7. -4*(j - 6140)**2*(j + 1)**2/7 Factor -w**4 - 382*w**3 + 783*w**2 + 5724*w - 13824. -(w - 3)**2*(w + 4)*(w + 384) Factor 5*s**4 - 405*s**3 + 1870*s**2 + 2280*s. 5*s*(s - 76)*(s - 6)*(s + 1) Solve -5*i**4 - 180*i**3 + 1575*i**2 + 13770*i + 22680 = 0 for i. -42, -3, 12 Factor -2*g**2 + 1752*g + 59994. -2*(g - 909)*(g + 33) Factor k**3/4 - 51*k**2/2 + 941*k/4 - 483. (k - 92)*(k - 7)*(k - 3)/4 Factor -169*r**3 - 75491*r**2 - 8392440*r + 8468100. -(r - 1)*(13*r + 2910)**2 Solve 5*y**5 - 54270*y**4 + 108525*y**3 - 54260*y**2 = 0. 0, 1, 10852 Factor 33097009*m**2 + 356686*m + 961. (5753*m + 31)**2 Let -2*g**4/7 + 4040*g**3/7 + 24350*g**2/7 - 76820*g/7 - 48624 = 0. What is g? -7, -3, 4, 2026 What is a in -2*a**2/5 - 1132*a/5 + 4446 = 0? -585, 19 Factor 4*u**3/9 - 92*u**2/3 - 580*u/9 + 284/3. 4*(u - 71)*(u - 1)*(u + 3)/9 What is l in l**3/3 + 1151*l**2/3 - 10432*l/3 + 9280/3 = 0? -1160, 1, 8 Factor 2*x**2/19 + 1312*x/19. 2*x*(x + 656)/19 Find n, given that -n**4 + 149*n**3 - 294*n**2 = 0. 0, 2, 147 Let 18*l**4 + 75*l**3 - 2076*l**2 + 5700*l + 1008 = 0. What is l? -14, -1/6, 4, 6 Factor 4*d**4 - 45892*d**3 - 45896*d**2. 4*d**2*(d - 11474)*(d + 1) Factor -3*x**3/2 + 957*x**2 - 151680*x - 307200. -3*(x - 320)**2*(x + 2)/2 Factor -36*j**3 - 32*j**2 + 1600*j - 3584. -4*(j - 4)*(j + 8)*(9*j - 28) Factor v**5/4 + 6*v**4 + 45*v**3/4 - 675*v**2/2. v**2*(v - 6)*(v + 15)**2/4 Let 2*b**5/15 - 26*b**3/15 + 24*b/5 = 0. Calculate b. -3, -2, 0, 2, 3 Factor -4*b**3 - 2580*b**2 - 178752*b - 3286544. -4*(b + 38)**2*(b + 569) Find m such that -1805*m**2 - 80750*m - 903125 = 0. -425/19 Suppose -2*s**2 - 50872*s + 1273050 = 0. What is s? -25461, 25 Find t, given that -5*t**2 + 73315*t - 366450 = 0. 5, 14658 Let 2*k**5/9 - 1588*k**4/9 - 16*k**3/9 + 12704*k**2/9 + 32*k/9 - 25408/9 = 0. Calculate k. -2, 2, 794 Suppose a**2/3 + 33740*a/3 + 33739/3 = 0. What is a? -33739, -1 Factor -3*p**2 + 1137441*p. -3*p*(p - 379147) Suppose -2*c**3 - 12776*c**2 + 25558*c - 12780 = 0. Calculate c. -6390, 1 Let 3*v**3 + 57*v**2 - 126*v = 0. Calculate v. -21, 0, 2 Determine s so that -2*s**3 - 28064*s**2 + 56134*s - 28068 = 0. -14034, 1 Let -32*p**5/7 + 23120*p**4/7 - 66126*p**3 + 1664804*p**2/7 - 747056*p/7 + 89856/7 = 0. Calculate p. 1/4, 4, 16, 702 Find t, given that -t**2/4 - 1887609*t/4 + 943805/2 = 0. -1887610, 1 Let h**5/3 + 10*h**4 + 79*h**3 + 532*h**2/3 = 0. What is h? -19, -7, -4, 0 Suppose 2*m**3/17 - 212*m**2/17 - 2054*m/17 - 1840/17 = 0. Calculate m. -8, -1, 115 Factor 4*h**2/3 + 460*h + 14696/3. 4*(h + 11)*(h + 334)/3 Solve h**2 + 706536*h + 124798279824 = 0 for h. -353268 Determine n so that -2*n**5/11 + 212*n**4/11 + 454*n**3/11 - 2352*n**2/11 - 2592*n/11 = 0. -4, -1, 0, 3, 108 Factor -4*r**3 - 328*r**2
{ "pile_set_name": "DM Mathematics" }
0. Let g = -14 + w. Factor -g*r**3 + 0 - 154/5*r**4 - 98/5*r**5 + 0*r - 8/5*r**2. -2*r**2*(r + 1)*(7*r + 2)**2/5 Factor 1/3*v**2 + 13/3*v + 22/3. (v + 2)*(v + 11)/3 Let u(l) be the second derivative of 3/2*l**3 + 0 - 8/45*l**6 - 2/3*l**2 + 92*l - 6/5*l**5 - 25/36*l**4. Suppose u(c) = 0. What is c? -4, -1, 1/4 Let -10 - 57/5*x**2 - 19*x - 13/5*x**3 - 1/5*x**4 = 0. Calculate x. -5, -2, -1 Let j(u) be the first derivative of 38*u**6/3 + 51*u**5 + 235*u**4/4 + 20*u**3 + 2*u**2 - 2343. Let j(a) = 0. What is a? -2, -1, -1/4, -2/19, 0 Solve -320*o - 166*o**2 - 26/3*o**3 - 136/3 = 0. -17, -2, -2/13 Let r(s) be the first derivative of -s**6/36 + s**5/4 + 35*s**4/72 - 10*s - 77. Let v(z) be the first derivative of r(z). Suppose v(o) = 0. What is o? -1, 0, 7 Determine a so that -539*a - 130*a - 2356 - 1902*a - 1301 - 186 - 6*a**2 = 0. -427, -3/2 Let s(p) = 5*p**3 + 165*p**2 + 865*p + 22. Let q(b) = b**3 + 33*b**2 + 170*b + 4. Let n(h) = 33*q(h) - 6*s(h). Factor n(z). 3*z*(z + 5)*(z + 28) Let o(l) be the second derivative of l**6/1800 - l**5/300 + 11*l**3/2 - l**2 + 89*l. Let a(k) be the second derivative of o(k). Suppose a(g) = 0. Calculate g. 0, 2 Factor 1/3*v**2 + 25/3*v + 48. (v + 9)*(v + 16)/3 Let z = 667/54 + 3941/54. Factor -32/3*s + z + 1/3*s**2. (s - 16)**2/3 Factor 0*v**2 + 0*v - 8/9*v**5 + 0 - 17/9*v**4 - 2/9*v**3. -v**3*(v + 2)*(8*v + 1)/9 Let o = -13047 - -130471/10. Let d(k) be the second derivative of -o*k**6 + 5/12*k**4 + 0 + 1/4*k**5 - k**2 - 5/6*k**3 + 18*k. Solve d(s) = 0. -1, -1/3, 1, 2 Let i(w) = -3*w - 2. Let u be i(-2). Let p = -5515 + 5519. Find n, given that u*n**5 - 2*n**p - 2*n**5 + 4*n**4 + 140*n**2 - 142*n**2 - 2*n**3 = 0. -1, 0, 1 Suppose -53 = 36066*u - 36062*u + 5*l, -2*u - 7 = l. Solve 55/6*j**2 + 15 - 10/3*j**u + 125/2*j = 0 for j. -3, -1/4, 6 Solve -78/7*t**2 + 60 - 3/7*t**3 - 339/7*t = 0 for t. -20, -7, 1 Determine c so that -114*c + 40*c**3 - 5*c**4 + c**4 + 959 - 719 - 94*c - 91*c**2 + 23*c**2 = 0. -2, 1, 5, 6 Let y(i) = 6*i**2 - 1058*i + 555. Let f(c) = 2*c**2 + 8*c + 1. Let a(u) = -5*f(u) + y(u). Factor a(l). -2*(l + 275)*(2*l - 1) Let b(p) = -p**3 + 25*p**2 + 83*p + 30. Let c be b(28). Factor 2*g**4 - 48*g**3 + 3*g**2 - 16*g - 23*g**c + 46*g**3. 2*g*(g - 4)*(g + 1)*(g + 2) Let h = -71757 + 19230933/268. Let q = h + 5/134. Factor -q*w**3 - 1/2*w**2 - 1 + 7/4*w. -(w - 1)**2*(w + 4)/4 Let b(j) be the first derivative of 2*j**3/27 + 1592*j**2/9 + 1267232*j/9 - 2283. Find p, given that b(p) = 0. -796 Let c be 10 + 135/(-18) - 2/4. Factor 3*m**4 + 7*m**2 - 36*m + 6*m**3 + 22 - 3*m**c - 40*m**2 + 74 + 12*m. 3*(m - 2)**2*(m + 2)*(m + 4) Let l be (731/102 - 8)/(98/(-126) + (-1)/3). Solve -9/2*n - 21/4*n**2 - l*n**3 + 0 = 0. -6, -1, 0 Let j(d) = 8*d**3 - 6*d**2 + 10*d + 66. Let o(w) = 9*w**3 - 5*w**2 + 12*w + 67. Let r(v) = -7*j(v) + 6*o(v). Factor r(i). -2*(i - 5)*(i - 3)*(i + 2) Let r(g) be the third derivative of -g**7/70 - 11*g**6/60 - 37*g**5/60 - 5*g**4/12 - 1296*g**2 - 2*g. Let r(c) = 0. What is c? -5, -2, -1/3, 0 Suppose -2*d = -u - 0*u + 55, d - 253 = -5*u. Let q(s) = 26*s**2 - 8*s + 65. Let y(o) = 3*o**2 - o + 8. Let r(a) = u*y(a) - 6*q(a). Factor r(b). -3*(b - 2)*(b + 3) Factor 4*g**3 - 136*g**2 + 461*g + 533 + 35*g - 1013. 4*(g - 30)*(g - 2)**2 Let m(l) be the first derivative of -7*l**4/8 + 405*l**3/2 - 52461*l**2/4 - 22707*l/2 + 90. Factor m(x). -(x - 87)**2*(7*x + 3)/2 Let g(b) be the second derivative of b**4/3 + 184*b**3/3 + 360*b**2 - 676*b - 2. Let g(a) = 0. What is a? -90, -2 Suppose -225/2*v**2 - 29 - 79/2*v**3 - 201/2*v + 3/2*v**4 = 0. Calculate v. -1, -2/3, 29 Let t(h) be the second derivative of h**7/84 - h**6/3 + 7*h**5/8 + 5*h**4/6 - 3*h**3 - 1196*h. Suppose t(z) = 0. Calculate z. -1, 0, 1, 2, 18 Let a(z) = z**3 + 19*z**2 - 16*z + 82. Let h(w) = -19*w**2 - 8*w + 7. Let b be h(1). Let y be a(b). Factor -32/13 + 16/13*u - 2/13*u**y. -2*(u - 4)**2/13 Factor -2*d**3 + 144*d**2 - 133 + 1430*d - 531*d + 1789*d + 11397. -2*(d - 88)*(d + 8)**2 Solve -202*c - 34858*c**2 + 1402*c - 45*c**5 + 30918*c**2 - 705*c**4 + 1786*c**3 + 1914*c**3 = 0 for c. -20, 0, 2/3, 3 Let r(a) be the second derivative of a**6/60 + a**5/30 - a**4/3 - 4*a**3/3 + 26*a**2 - 26*a. Let u(h) be the first derivative of r(h). Factor u(q). 2*(q - 2)*(q + 1)*(q + 2) Let k be ((-33)/9 + 4)/(592/(-48) + 14). Factor -k*f**2 + 6/5 + 1/5*f. -(f - 3)*(f + 2)/5 Let j(v) be the third derivative of -v**5/100 - 3*v**4/4 - 209*v**3/10 + 3061*v**2. Determine k, given that j(k) = 0. -19, -11 Suppose 4*s = -3*m - 4 - 6, m + 4*s + 14 = 0. Let b = -8237 + 8240. Find j such that -5/4*j + 1/2*j**m + 1/2 - j**4 + j**b + 1/4*j**5 = 0. -1, 1, 2 Let x be 16176/14 + -9*(-1)/(-21). Solve -6*n**3 - 1158*n**5 + x*n**5 + 9*n**3 = 0. -1, 0, 1 Let l(h) be the first derivative of -2/21*h**3 + 8 + 4/7*h**2 + 7*h - 2/21*h**4 + 1/35*h**5. Let m(t) be the first derivative of l(t). Factor m(y). 4*(y - 2)*(y - 1)*(y + 1)/7 Let h(v) be the second derivative of -v**6/60 - 11*v**5/20 - 55*v**4/8 - 116*v**3/3 - 80*v**2 - 283*v. Factor h(w). -(w + 1)*(w + 5)*(w + 8)**2/2 Let h(l) = l**3 - 1. Let g(x) be the second derivative of 2*x**6/15 + x**5/5 + 4*x**4/3 + 6*x**2 - 5*x - 2. Let p(a) = g(a) + 12*h(a). Factor p(o). 4*o**2*(o + 2)**2 Factor -2*x**3 + 15/2*x**2 - 8*x - 1/4*x**4 + 11/4. -(x - 1)**3*(x + 11)/4 Let o(k) be the second derivative of -k**7/273 - 49*k**6/195 + 331*k**5/65 + 13519*k**4/39 - 501061*k**3/39 + 2237411*k**2/13 + 180*k + 3. Factor o(m). -2*(m - 11)**3*(m + 41)**2/13 Let j(r) be the second derivative of -239*r + 144*r**2 + 141/20*r**5 - 80*r**3 - 4/5*r**6 + 0 + 37/6*r**4 + 1/42*r**7. Let j(a) = 0. What is a? -2, 1, 12 Let c(j) be the first derivative of 0*j + 2/35*j**5 + 2/7*j**4 + 2/7*j**2 + 104 + 10/21*j**3. Factor c(h). 2*h*(h + 1)**2*(h + 2)/7 Solve -w**2 + 3*w**2 - 2*w**2 - 3*w**2 + 339*w + 342 = 0. -1, 114 Let o(l) be the first derivative of -5*l**3/3 - 45*l**2/2 + 1430*l - 2963. Factor o(m). -5*(m - 13)*(m + 22) Suppose 7*a - 9*a = -3*n - 5, 4*a - 13 = 5*n. Let d be (-988)/(-28) + (-2)/a. Determine f so that 84*f**3 + d*f - 99*f**2 - 15*f**4 - 51*f - 38*f = 0. -2/5, 0, 3 Let p be ((-2)/8)/(4/(-64)). Suppose -3*d = x - 13, 0 = -5*x - p + 9. Factor -20*n + 0*n**4 + 2*n**4 + 0*n**d - 20*n**3 - 30*n**2 - 5 - 7*n**4. -5*(n + 1)**4 Let y(i) be the second derivative of 1/63*i**7 + 0*i**2 + 0*i**3 + 2/9*i**4 - 72*i - 2/15*i**5 - 1/45*i**6 + 0. Suppose y(x) = 0. What is x? -2, 0, 1, 2 Let t(r) be the third derivative of r**6/480 - r**5/15 + 2*r**4/3 + 1396*r**2. Factor t(l). l*(l - 8)**2/4 Let k = -13178/3 - -4393. Let j(m) be the second derivative of -5/6*m**3 + 0*m**2 - 18*m + 0*m**5 + 0 + 5/6*m**4 - k*m**6 + 5/42*m**7. Factor j(d). 5*d*(d - 1)**3*(d + 1) Let t be (12/126*176)/(1/(-9)). Let c = t - -1065/7. Find n such that -3/7*n**2 + 30/7 + c*n = 0. -2, 5 Let i = 38896 - 38896. Let h(m) be the third derivative of 9*m**2 + 0*m**4 + 0*m**6 + 0*m**3 + 0 + i*m + 1/180*m**5 - 1/630*m**7. Factor h(q). -q**2*(q - 1)*(q + 1)/3 Let a(b) be the first derivative of b**7/1680 + 47*b**6/2160 + 11*b**5/45 - 4*b**4/9 - 26*b**3/3 - 17. Let r(o) be the third derivative of a(o). Factor r(g). (g + 8)**2*(3*g - 1)/6 Factor r**2 - 550 - 5*r**2 - 9 - 947 - 150 - 1660*r. -4*(r + 1)*(r + 414) Suppose -123*f + 127*f + 24 = -4*o, -5*o + 4*f + 51 = 0. Let 4/3 + 6*k**2 - 10/3*k**o - 14/3*k + 2/3*k**4 = 0. Calculate k. 1, 2 Let u be (4 - -1)/((-875)/(-350)). Let c = 5 - 3. Factor c*h**u - 26 + 2*h + 6 + 8. 2*(h - 2)*(h + 3) Suppose 200*x - 524 + 124 = 0. What is w in 4/13*w + 30/13 - 2/13*w**x = 0? -3, 5 Suppose n + 2*l + 85 = 3*l + 89, -2*n = 2*l. Determine v so that 15*v - 3/7*v**n - 102/7 = 0. 1, 34 Let y = 11 + -63. Let x = y - -62. Let 4*j**3 - x*j**3 + j**3 + 28*j**2 - 8*j**2 - 20*j = 0. What is j? 0, 2 Let z(g) be the first derivative of -4*g**3/3 - 608*g**2 - 92416*g + 769. Let z(d) = 0. Calculate d. -152 Let r(t) be the third derivative of -t**5/300 - 19*t**4/120 + 4*t**3 + 4834*t**2. Factor r(u). -(u - 5)*(u + 24)/5 Let g(s) be the third derivative of s**6/720 - 123*s**5/40 + 1657*s**4/72 - 184*s**3/3 - 2*s**2 - 2482. Factor g(l). (l - 1104)*(l - 2)*(l - 1)/6 Suppose -t - 15 + 19 = 0. Determine a so that -t*a**3 - a**2 - 125*a + 236*a - 123*a + 17*a**2 = 0. 0, 1, 3 Let w(q) b
{ "pile_set_name": "DM Mathematics" }
55/1092 What is prob of sequence fxx when three letters picked without replacement from xfxxxxxxxxfxxxxfxf? 91/612 Three letters picked without replacement from {m: 1, u: 4, j: 3, h: 1, r: 5}. Give prob of sequence mjj. 1/364 Three letters picked without replacement from esqftfeststets. Give prob of sequence ees. 1/91 Calculate prob of sequence ss when two letters picked without replacement from sss. 1 Calculate prob of sequence huuh when four letters picked without replacement from hhhhuhuuuu. 5/63 Four letters picked without replacement from vvvvvvv. What is prob of sequence vvvv? 1 Calculate prob of sequence vvx when three letters picked without replacement from xvvvxxxvxxxxxx. 5/91 Three letters picked without replacement from cacacclciiccc. Give prob of sequence cac. 28/429 Two letters picked without replacement from yyxybbbyxxbyxyyyxk. Give prob of sequence by. 16/153 What is prob of sequence ll when two letters picked without replacement from llnn? 1/6 Calculate prob of sequence azjj when four letters picked without replacement from wwjxaoowzoozwaoajoa. 1/5814 What is prob of sequence fxvi when four letters picked without replacement from {f: 1, x: 4, v: 1, j: 2, i: 1}? 1/756 Two letters picked without replacement from hrhhhhgrhhlhrlrfhr. Give prob of sequence fg. 1/306 Two letters picked without replacement from jjiaaajjjd. What is prob of sequence di? 1/90 Three letters picked without replacement from zcyzyhyoy. Give prob of sequence yoh. 1/126 What is prob of sequence ggue when four letters picked without replacement from ueeggeuuuuguguge? 1/78 Two letters picked without replacement from {f: 1, r: 1, q: 1, n: 2}. What is prob of sequence nn? 1/10 What is prob of sequence enpe when four letters picked without replacement from nepnenng? 1/210 Calculate prob of sequence fnwf when four letters picked without replacement from pwnfpfffkpwpwkkw. 1/910 What is prob of sequence bbhb when four letters picked without replacement from bbhbbbbbbbbbbbbbhh? 91/816 Three letters picked without replacement from vzvoozjvnz. Give prob of sequence jnz. 1/240 Four letters picked without replacement from {i: 4, p: 3, c: 4, n: 7, a: 1}. Give prob of sequence ppia. 1/3876 Calculate prob of sequence mm when two letters picked without replacement from mkjjkmkmkjkkjkjkkmj. 2/57 What is prob of sequence tu when two letters picked without replacement from tuuzt? 1/5 Calculate prob of sequence vb when two letters picked without replacement from {b: 6, v: 6}. 3/11 Two letters picked without replacement from cvpzcz. Give prob of sequence pc. 1/15 Calculate prob of sequence zeol when four letters picked without replacement from eolzlllev. 1/378 Calculate prob of sequence kk when two letters picked without replacement from ekeeekepeeekjkeeekp. 10/171 Calculate prob of sequence fp when two letters picked without replacement from {f: 2, k: 4, p: 1}. 1/21 Two letters picked without replacement from oiioioiddiddooidido. Give prob of sequence io. 7/57 Two letters picked without replacement from {o: 3, t: 6, c: 2, n: 1}. What is prob of sequence nt? 1/22 Calculate prob of sequence dud when three letters picked without replacement from {c: 2, u: 1, t: 2, s: 6, d: 5}. 1/168 What is prob of sequence oqq when three letters picked without replacement from qyoococoeqoyqo? 3/182 Two letters picked without replacement from ccccmcccmmnmm. What is prob of sequence nc? 7/156 Three letters picked without replacement from {o: 5, i: 1, k: 2, g: 4, x: 1, u: 2}. What is prob of sequence ook? 4/273 Two letters picked without replacement from xmbmxbddxxbbmbbxbxd. What is prob of sequence mm? 1/57 Two letters picked without replacement from hhhbmhmmhhmmh. Give prob of sequence hb. 7/156 Three letters picked without replacement from iqttucy. Give prob of sequence qty. 1/105 Calculate prob of sequence wwk when three letters picked without replacement from kkkwwk. 1/15 Four letters picked without replacement from {v: 1, l: 4, h: 3, u: 1, r: 3, x: 5}. What is prob of sequence vlrh? 3/4760 Calculate prob of sequence prpp when four letters picked without replacement from {r: 1, w: 4, p: 9}. 3/143 Two letters picked without replacement from trrrttrtttttrrrrrtt. Give prob of sequence rt. 5/19 Calculate prob of sequence rrrn when four letters picked without replacement from rrrrnrnrrrrnrrr. 11/91 What is prob of sequence ow when two letters picked without replacement from wwowwwwwwowowwwwwoow? 15/76 Three letters picked without replacement from {k: 5, t: 2, n: 3}. Give prob of sequence ttn. 1/120 Four letters picked without replacement from {j: 5, k: 3, y: 2}. What is prob of sequence jykk? 1/84 Three letters picked without replacement from {l: 2, a: 1, t: 2}. What is prob of sequence atl? 1/15 Calculate prob of sequence me when two letters picked without replacement from {a: 1, e: 11, m: 1}. 11/156 Two letters picked without replacement from wwwkkwjqwwjw. What is prob of sequence ww? 7/22 Three letters picked without replacement from {c: 7, o: 2, n: 1}. What is prob of sequence onc? 7/360 What is prob of sequence on when two letters picked without replacement from {o: 3, n: 3}? 3/10 Three letters picked without replacement from {r: 1, a: 1, l: 2, z: 2}. Give prob of sequence arl. 1/60 Two letters picked without replacement from wfft. What is prob of sequence tf? 1/6 What is prob of sequence acab when four letters picked without replacement from {a: 3, c: 6, b: 8}? 3/595 Calculate prob of sequence aa when two letters picked without replacement from ccxxcecaa. 1/36 What is prob of sequence gx when two letters picked without replacement from {x: 7, g: 1}? 1/8 Two letters picked without replacement from qvhnqqnqqqqqq. Give prob of sequence qq. 6/13 Four letters picked without replacement from {a: 2, g: 5, t: 1, k: 1}. What is prob of sequence kgtg? 5/756 Calculate prob of sequence mj when two letters picked without replacement from mmjm. 1/4 What is prob of sequence bf when two letters picked without replacement from {f: 6, x: 1, b: 8}? 8/35 Calculate prob of sequence xm when two letters picked without replacement from {m: 2, x: 1, w: 2}. 1/10 Calculate prob of sequence hhhh when four letters picked without replacement from {p: 4, f: 1, h: 5}. 1/42 Two letters picked without replacement from vllofyfqoqoql. What is prob of sequence ly? 1/52 Two letters picked without replacement from {v: 11, z: 1}. Give prob of sequence vz. 1/12 Four letters picked without replacement from {u: 1, k: 1, d: 1, a: 1, b: 1}. Give prob of sequence akdu. 1/120 Four letters picked without replacement from bbhbbbtotbbttbth. What is prob of sequence htot? 1/1092 Two letters picked without replacement from {j: 1, d: 2, p: 2, k: 2, o: 1}. What is prob of sequence op? 1/28 Calculate prob of sequence rr when two letters picked without replacement from {r: 7}. 1 Two letters picked without replacement from eeooeeeoeeoo. Give prob of sequence eo. 35/132 Three letters picked without replacement from jjd. Give prob of sequence jjd. 1/3 What is prob of sequence ts when two letters picked without replacement from otrooogrssssotgotoot? 4/95 Calculate prob of sequence ims when three letters picked without replacement from {i: 1, x: 1, w: 2, y: 2, s: 2, m: 1}. 1/252 Calculate prob of sequence je when two letters picked without replacement from {e: 3, x: 6, i: 1, j: 2}. 1/22 Two letters picked without replacement from {n: 3, l: 3, f: 9, t: 1, v: 2, p: 2}. What is prob of sequence ft? 9/380 Calculate prob of sequence kkkt when four letters picked without replacement from tfttkfkttktttkkkfk. 7/306 Two letters picked without replacement from {b: 2, d: 1, z: 1, i: 2, o: 1}. Give prob of sequence id. 1/21 What is prob of sequence ioz when three letters picked without replacement from {z: 1, i: 1, l: 3, o: 1, f: 1}? 1/210 Four letters picked without replacement from nnnonnnnno. What is prob of sequence onnn? 2/15 Two letters picked without replacement from aahdahahhh. What is prob of sequence ah? 2/9 Two letters picked without replacement from gvgzvvvggzvgvivivvvv. What is prob of sequence ii? 1/190 Calculate prob of sequence dydy when four letters picked without replacement from dyyyyydyy. 1/36 Calculate prob of sequence hh when two letters pic
{ "pile_set_name": "DM Mathematics" }
o**2 - 2*o - 99 Let u(m) = -m**2 + 6*m. Let w(c) be the second derivative of -c**3/2 + 88*c. Give -2*u(i) - 5*w(i). 2*i**2 + 3*i Let n(d) = 2*d. Let s(i) = 14*i + 135. What is -6*n(y) + s(y)? 2*y + 135 Let v(y) = -y - 7. Let z(p) = -p**2 - 2*p - 6. Let o be z(-11). Let c = 101 + o. Let i(j) = -1. What is c*i(m) + v(m)? -m - 3 Let q(o) = 187*o - 1. Let b(s) = -750*s + 4. Calculate 2*b(a) + 9*q(a). 183*a - 1 Let h = -41 + 37. Let k(m) = 3*m**2 + 8*m - 1. Let r be k(h). Let w(v) = -3*v + 2. Let t(q) = 7*q - 5. What is r*w(g) + 6*t(g)? -3*g Let h(b) = 3*b**2 - 23*b + 8*b + 1670 - 1685. Suppose -c - 4*c = -75. Let x(f) = -f - 1. Determine c*x(r) - h(r). -3*r**2 Let n be (2 + -1)*((-2 - -9) + -10). Let r(j) = -7*j. Let w(b) = 133*b. Give n*w(d) - 56*r(d). -7*d Suppose -4 - 16 = -5*l. Let s(f) = -f**2 - f - 4. Suppose 0 = d - 5 - 0, -10 = -q - d. Let g(c) = c**2 + c + 3. Give l*s(h) + q*g(h). h**2 + h - 1 Suppose -4 - 3 = -7*r. Let m(v) = -3 + 5*v - v**3 - 3*v**2 + 7 - 2. Let w(l) = l**2 - l. Calculate r*m(u) + 3*w(u). -u**3 + 2*u + 2 Let h(g) = 65*g - 13. Let q(v) = 2. Determine -h(z) - 6*q(z). -65*z + 1 Let l(v) = 1. Let q(b) = 9*b**2 - 1. Let o(k) = 5*k**2 - 1. Let m(c) = -5*o(c) + 3*q(c). What is -2*l(i) + m(i)? 2*i**2 Let w(k) = k**2 - 1. Suppose 0 = 3*c - 5*f - 49, 5*f - 6 = -1. Suppose 13 = 5*h + c. Let i(b) = b**2 + 3*b - 3. Calculate h*i(q) + 2*w(q). q**2 - 3*q + 1 Let j(b) = -2*b**3 - 11*b**2 - 2*b + 11. Let x(s) be the second derivative of s**5/20 + s**4/2 + s**3/6 - 3*s**2 + 61*s. What is -6*j(t) - 11*x(t)? t**3 + t Let z(v) be the third derivative of -3*v**5/20 - v**4/6 - 2*v**2. Let y(t) = 35*t**2 + 15*t. Let b = -151 + 155. Calculate b*y(f) + 15*z(f). 5*f**2 Let r(j) = 17. Let o(d) = d + 1. Determine 5*o(y) - r(y). 5*y - 12 Let j(h) = -4*h**2 - 5*h + 1. Let y = 8 - 6. Let k(r) = 25*r**2 + 17*r - 4. Let v(o) = 14*o**2 + 9*o - 2. Let n(c) = 3*k(c) - 5*v(c). Calculate y*n(w) + 3*j(w). -2*w**2 - 3*w - 1 Let j(p) = 9*p**2 + 5. Let h(l) = 8*l**2 + 6. Let g = 194 + -189. Give g*h(u) - 6*j(u). -14*u**2 Let d(h) = 9*h - 4. Let r(p) = 5*p - 2. Suppose 1 - 2 = m. Let c = m + 4. Suppose 35 - 4 = 2*w + c*b, 1 = -w + 4*b. What is w*r(u) - 6*d(u)? u + 2 Let p(u) = u - 1. Let d(s) = -s + 6. Determine d(w) - 5*p(w). -6*w + 11 Let r(d) = -d**3 + 3*d**2 - 4*d + 5. Let v(b) = -2*b**3 + 2*b**2 - 3*b + 5. Determine -2*r(a) + 3*v(a). -4*a**3 - a + 5 Let l(m) = m + 24. Let r be l(-18). Let u(f) = 3*f**3 - 717 - 9*f**2 + 704 + 4*f**3. Let g(j) = -4*j**3 + 5*j**2 + 7. What is r*u(z) + 11*g(z)? -2*z**3 + z**2 - 1 Let q(a) = -5*a**2 - 8*a + 9. Let i = -21 - -26. Let n(v) = -3*v**2 - 5*v + 6. Let j be 1*2*(-2 + 1). Let t be -6 + -2 + 2 + j. Give i*q(d) + t*n(d). -d**2 - 3 Let z(h) = -2*h**3 + 6*h**2 - 11*h + 13. Let l(v) = -v**3 + 3*v**2 - 5*v + 6. Suppose -3*u - 687 + 648 = 0. Calculate u*l(o) + 6*z(o). o**3 - 3*o**2 - o Let n(g) = 35*g**2 - 7*g + 5. Let s(p) = 35*p**2 - 6*p + 4. Calculate 6*n(r) - 7*s(r). -35*r**2 + 2 Suppose 0 = 3*t + 4*o - 49, -5*t - 5*o + 59 = -4*o. Let a(s) = -21*s**2 + 11*s. Let c(j) = 0*j**2 + 16 - 16 + 6*j - 11*j**2. Give t*c(k) - 6*a(k). 5*k**2 Let b(r) = -15*r - 67. Let k(c) = -7*c - 34. Calculate -3*b(i) + 7*k(i). -4*i - 37 Let l(f) = 21*f + 1. Let c(r) = 10*r + 1. Calculate 5*c(y) - 2*l(y). 8*y + 3 Let i(k) = -3*k**2 + 22*k - 5. Let m(z) = 3*z**2 - 24*z + 6. What is 5*i(x) + 4*m(x)? -3*x**2 + 14*x - 1 Let o(s) = -6*s - 20. Let l(t) be the third derivative of t**4/24 + 2*t**3/3 + 71*t**2. Calculate 16*l(u) + 3*o(u). -2*u + 4 Let i(a) = -599 + 2*a**3 - a**3 + a**2 + 598. Let x(k) = -2*k**3 - 3*k**2 - 5*k + 2. What is -3*i(j) - x(j)? -j**3 + 5*j + 1 Let x(t) = 5*t + 2. Let k(q) = 9 - 15*q + 4*q - 13 + 0. Determine 4*k(y) + 9*x(y). y + 2 Let i(m) = -9*m + 12. Let a(u) = 1 - 2246*u + 1122*u + 1123*u. Give 12*a(w) - i(w). -3*w Let a(f) = 43*f**3 + 5*f**2 + f - 5. Let s(d) = -21*d**3 - 3*d**2 - d + 3. Determine 3*a(k) + 5*s(k). 24*k**3 - 2*k Let z(o) = 6*o**2 + 19*o + 27. Let b(f) = 3*f**2 + 8*f + 13. Calculate 5*b(u) - 2*z(u). 3*u**2 + 2*u + 11 Suppose 6*p = 4*p - 2. Let i(a) = 2*a**2 + 5*a + 4. Let x(f) = -f**2 - f - 1. Calculate p*i(q) - 5*x(q). 3*q**2 + 1 Let j(l) = -16*l + 102. Let u(g) = -19*g + 102. Determine -6*j(w) + 5*u(w). w - 102 Let w(g) = -g - 2. Let f(q) = 3*q - 1. Determine f(v) - 3*w(v). 6*v + 5 Let h(g) = -32*g - 22*g - 25*g + 80*g - 1. Let s(t) = 4*t - 6. Calculate 2*h(v) - s(v). -2*v + 4 Let b(q) = 1. Let h be 320/(-448) - (-2)/(-7). Let y(n) = 6*n**2 + n + 5. Calculate h*y(i) + 5*b(i). -6*i**2 - i Let b(u) = 2*u. Suppose 0*o - 3 = o. Let z(t) = t. Determine o*b(v) + 5*z(v). -v Let a = -36 - -39. Let d(l) = 0*l**3 + 93 - 92 + l**a. Let t(i) = -2*i**3 - i**2 - 2. What is 5*d(m) + 3*t(m)? -m**3 - 3*m**2 - 1 Let q be ((-2)/20)/((-5)/25). Let b(d) be the first derivative of q*d**2 - 2 + 1/3*d**3 + d. Let g(o) = 5*o**2 + 4*o + 3. Give -4*b(x) + g(x). x**2 - 1 Let b(q) = -3*q**2 - 48*q - 4. Let k(c) = -4*c**2 - 48*c - 5. Give -3*b(s) + 2*k(s). s**2 + 48*s + 2 Let k = 1 + 5. Let z(a) be the first derivative of a**2 + 12 - 4*a - 4/3*a**3. Let y(i) = -3*i**2 + 2*i - 3. Determine k*y(n) - 5*z(n). 2*n**2 + 2*n + 2 Let z = 13 - 10. Let m be (z - 15/6)/((-1)/(-10)). Let t(f) = -7*f - 7. Let r(n) = 6*n + 6. Calculate m*t(y) + 6*r(y). y + 1 Let c(i) = -80. Let w(x) = 2*x**2 + 4. What is c(a) + 20*w(a)? 40*a**2 Let y(k) = k**3 - 315. Let j(a) = -a**3 + 314. Give 3*j(l) + 4*y(l). l**3 - 318 Let v(r) = -160*r**2 - 8*r - 7. Let j(l) = 81*l**2 + 4*l + 3. Determine -5*j(d) - 2*v(d). -85*d**2 - 4*d - 1 Let l(r) = -10*r + 5. Let t = 748 - 742. Let c(w) be the third derivative of -11*w**4/24 + w**3 + 2*w**2. Determine t*c(h) - 7*l(h). 4*h + 1 Let f(h) = 6*h - 5*h + 3 - 2. Let g be 1/(-4)*(0 - 28). Let l(s) = 3*s + 4. Give g*f(n) - 2*l(n). n - 1 Suppose 6 = 5*t - 4*t. Let m(d) = 23*d**2 - 17*d - 8. Let c be ((-2)/4)/((-3)/(-102)). Let u(r) = 2*r + 16 + 8*r**2 - 8 - 8 - 8*r - 3. Give c*u(l) + t*m(l). 2*l**2 + 3 Let i(b) = 10*b**2 - 6*b - 9. Let r(y) = -14*y + 7. Let t be r(1). Let j(d) = -3*d**2 + 2*d + 3. What is t*j(s) - 2*i(s)? s**2 - 2*s - 3 Let d(f) = 9*f - 7. Let v(q) = -31*q + 20. Determine 8*d(m) + 3*v(m). -21*m + 4 Let o(u) = -72*u**2 + 3*u + 21. Let d(v) = -24*v**2 + v + 8. Determine -8*d(t) + 3*o(t). -24*t**2 + t - 1 Let v(l) = 12*l**2 - 252*l - 10. Let k(m) = m**2 - 2*m - 1. Calculate -10*k(s) + v(s). 2*s**2 - 232*s Let j(q) be the third derivative of q**4/24 + q**3/6 + 4*q**2 - 2*q. Let m(n) = 5*n + 2. Calculate 3*j(h) - m(h). -2*h + 1 Let y(w) = w. Let g(d) be the second derivative of d**3/3 + d**2 - 29*d. What is -g(i) + 6*y(i)? 4*i - 2 Let n(h) = -136*h**2 + 3*h - 12. Let z(y) = 136*y**2 - y + 9. What is -3*n(c) - 4*z(c)? -136*c**2 - 5*c Let b(z) = -4*z**3 - 3*z**2 - 3. Let o(q) = -42*q**2 + 0*q**3 + 17*q**2 + 12*q**2 + q**3 + 14*q**2 + 1. Suppose -3*y = -3 + 6. Calculate y*b(m) - 3*o(m). m**3 Suppose -3*g + 8*g + 25 = 0. Let i(c) = -6*c**3 + 2*c**2 + 7*c - 5. Let s(o) = -o + 9*o - 2706 + 2700 - 7*o**3 + 2*o**2. What is g*s(l) + 6*i(l)? -l**3 + 2*l**2 + 2*l Let c(s) be the second derivative of 19*s**3/6 - 5*s**2/2 + 16*s. Let r(o) = 10*o - 3. Let f(a) = 4*c(a) - 7*r(a). Let m(l) = 2*l. What is 2*f(i) - 5*m(i)? 2*i + 2 Let m(z) = -z**2 + z + 1. Let v(t) be the third derivative of -t**5/20 + t**4/8 + 2*t**3/3 + t**2 - 70*t. Determine -2*m(n) + v(n). -n**2 + n + 2 Suppose -10 = 4*a - 20*v + 22*v, 40 = -4*a + 4*v. Let b(c) = 4*c**2 + 7*c + 2. Let d(y) = -y**3 - 9*y**2 - 15*y - 5. Give a*b(k) - 2*d(k). 2*k**3 - 2*k**2 - 5*k Let x(f) = -3*f**2 - 3*f + 1. Let c(n) = -16*n**2 + 2*n + 10. Let i(a) = 17*a**2 - 5*a - 11. Let r(q) = -6*c(q) - 5*i(q). Give -2*r(v) - 9*x(v). 5*v**2 + v + 1 Let o(d) = -8*d**3 - d**2 - 2. Let j = 218 + -213. Let x(w) = 7*w**3 + w**2 + 2. Give j*o(n) + 6*x(n). 2*n**3 + n**2 + 2 Let c(x) be the second derivative of -17*x**4/12 + 5*x**3/6 + x**2/2 - 126*x. Let a(q) = 42*q**2 - 12*q - 2. Determine 5*a(i) + 12*c(i). 6*i**2 + 2 Let u(j) be the second derivative of -13*j**3/6 - 3*j**2/2 + 797*j. Let y(o) = 13*o + 2. What is -2*u(r) - 3*y(r)? -13*r Let c(h) = 187*h - 12. Let s(v) = 95*v - 7. Calculate 3*c(q) - 5*s(q). 86*q - 1 Let t(b) = -286*b**2 - 39*b - 39. Let y(l) = -30*l**2 + 7*l + 51. Let q(r) = -15*r**2 + 4*r
{ "pile_set_name": "DM Mathematics" }
? 9 What is the ten thousands digit of 3309704? 0 What is the hundred thousands digit of 477929? 4 What is the millions digit of 10403860? 0 What is the tens digit of 723605? 0 What is the hundred thousands digit of 37684538? 6 What is the hundred thousands digit of 2024255? 0 What is the hundreds digit of 3526915? 9 What is the tens digit of 126192? 9 What is the tens digit of 197470? 7 What is the units digit of 2413196? 6 What is the tens digit of 6055092? 9 What is the hundreds digit of 172926? 9 What is the ten thousands digit of 298808? 9 What is the units digit of 1345749? 9 What is the units digit of 979380? 0 What is the ten thousands digit of 18616273? 1 What is the thousands digit of 1185538? 5 What is the units digit of 450573? 3 What is the units digit of 338178? 8 What is the tens digit of 1967166? 6 What is the ten thousands digit of 58464? 5 What is the tens digit of 5761684? 8 What is the units digit of 2163749? 9 What is the ten thousands digit of 17723151? 2 What is the units digit of 7119186? 6 What is the hundred thousands digit of 379707? 3 What is the hundreds digit of 480568? 5 What is the ten thousands digit of 38462? 3 What is the millions digit of 1966810? 1 What is the hundred thousands digit of 11566118? 5 What is the tens digit of 332959? 5 What is the units digit of 2396423? 3 What is the hundreds digit of 17408683? 6 What is the ten thousands digit of 20324424? 2 What is the thousands digit of 222511? 2 What is the ten thousands digit of 263448? 6 What is the hundred thousands digit of 21779256? 7 What is the units digit of 25491333? 3 What is the thousands digit of 673173? 3 What is the thousands digit of 1191319? 1 What is the thousands digit of 797592? 7 What is the tens digit of 749417? 1 What is the units digit of 168730? 0 What is the tens digit of 1052890? 9 What is the hundreds digit of 795259? 2 What is the hundreds digit of 559899? 8 What is the hundreds digit of 4367998? 9 What is the thousands digit of 22421149? 1 What is the tens digit of 13625531? 3 What is the ten thousands digit of 1380440? 8 What is the hundreds digit of 269644? 6 What is the hundreds digit of 9620751? 7 What is the units digit of 4250316? 6 What is the ten thousands digit of 23005? 2 What is the thousands digit of 67371? 7 What is the millions digit of 22002955? 2 What is the hundred thousands digit of 777838? 7 What is the ten thousands digit of 7705946? 0 What is the ten thousands digit of 136178? 3 What is the ten thousands digit of 284330? 8 What is the hundreds digit of 261321? 3 What is the ten millions digit of 16183467? 1 What is the tens digit of 262032? 3 What is the thousands digit of 728032? 8 What is the hundred thousands digit of 3683195? 6 What is the tens digit of 675039? 3 What is the hundreds digit of 2644910? 9 What is the tens digit of 96556? 5 What is the millions digit of 5562804? 5 What is the hundred thousands digit of 1205760? 2 What is the tens digit of 171535? 3 What is the hundreds digit of 996284? 2 What is the ten thousands digit of 2259558? 5 What is the units digit of 2098955? 5 What is the tens digit of 3380990? 9 What is the thousands digit of 246405? 6 What is the hundreds digit of 30680532? 5 What is the ten thousands digit of 679953? 7 What is the units digit of 399642? 2 What is the hundreds digit of 2902456? 4 What is the millions digit of 1253417? 1 What is the units digit of 6006901? 1 What is the tens digit of 3582969? 6 What is the units digit of 2911943? 3 What is the tens digit of 2684253? 5 What is the hundreds digit of 1033494? 4 What is the thousands digit of 498551? 8 What is the thousands digit of 2572534? 2 What is the units digit of 15033479? 9 What is the ten thousands digit of 597509? 9 What is the thousands digit of 443315? 3 What is the units digit of 1746600? 0 What is the units digit of 1115557? 7 What is the units digit of 56538? 8 What is the units digit of 2400450? 0 What is the hundreds digit of 957327? 3 What is the millions digit of 1759289? 1 What is the hundreds digit of 10730? 7 What is the hundred thousands digit of 6747063? 7 What is the millions digit of 6603218? 6 What is the units digit of 2394445? 5 What is the units digit of 63767? 7 What is the thousands digit of 7891606? 1 What is the units digit of 834385? 5 What is the thousands digit of 12742578? 2 What is the thousands digit of 60789? 0 What is the units digit of 174059? 9 What is the tens digit of 7412251? 5 What is the ten thousands digit of 218840? 1 What is the hundreds digit of 492336? 3 What is the thousands digit of 172747? 2 What is the hundreds digit of 317402? 4 What is the hundreds digit of 164960? 9 What is the units digit of 11568924? 4 What is the ten millions digit of 27767637? 2 What is the thousands digit of 1864320? 4 What is the units digit of 8261241? 1 What is the ten thousands digit of 2268623? 6 What is the tens digit of 777400? 0 What is the tens digit of 3176644? 4 What is the thousands digit of 4913563? 3 What is the tens digit of 309180? 8 What is the thousands digit of 11302367? 2 What is the ten thousands digit of 6569059? 6 What is the thousands digit of 36134? 6 What is the tens digit of 2098517? 1 What is the tens digit of 268015? 1 What is the hundreds digit of 3639181? 1 What is the ten thousands digit of 274690? 7 What is the hundreds digit of 12168205? 2 What is the hundreds digit of 7122106? 1 What is the ten thousands digit of 3332264? 3 What is the units digit of 503409? 9 What is the ten thousands digit of 7265157? 6 What is the tens digit of 2095190? 9 What is the hundreds digit of 788053? 0 What is the hundreds digit of 2667793? 7 What is the ten thousands digit of 17630626? 3 What is the ten millions digit of 17008025? 1 What is the thousands digit of 5877? 5 What is the hundred thousands digit of 4745185? 7 What is the hundred thousands digit of 1849359? 8 What is the units digit of 1637309? 9 What is the ten thousands digit of 199004? 9 What is the thousands digit of 1521549? 1 What is the hundred thousands digit of 241857? 2 What is the tens digit of 766893? 9 What is the thousands digit of 2392680? 2 What is the hundred thousands digit of 42170307? 1 What is the millions digit of 1134082? 1 What is the units digit of 3229126? 6 What is the ten thousands digit of 541166? 4 What is the millions digit of 1753265? 1 What is the tens digit of 1151950? 5 What is the thousands digit of 865781? 5 What is the thousands digit of 26761859? 1 What is the thousands digit of 12299242? 9 What is the ten thousands digit of 10553567? 5 What is the hundred thousands digit of 292700? 2 What is the hundreds digit of 509414? 4 What is the hundreds digit of 173299? 2 What is the units digit of 1196895? 5 What is the ten thousands digit of 388019? 8 What is the millions digit of 3225192? 3 What is the tens digit of 904608? 0 What is the ten thousands digit of 994362? 9 What is the tens digit of 994058? 5 What is the thousands digit of 46901? 6 What is the ten thousands digit of 2057665? 5 What is the hundreds digit of 3225979? 9 What is the tens digit of 721430? 3 What is the hundreds digit of 130508? 5 What is the hundred thousands digit of 5099558? 0 What is the hundreds digit of 602798? 7 What is the thousands digit of 1380710? 0 What is the tens digit of 282282? 8 What is the tens digit of 963608? 0 What is the units digit of 234338? 8 What is the tens digit of 3118330? 3 What is the ten thousands digit of 46363? 4 What is the tens digit of 216164? 6 What is the hundred thousands digit of 2671296? 6 What is the ten thousands digit of 2464010? 6 What is the ten thousands digit of 42637392? 3 What is the thousands digit of 1444184? 4 What is the tens digit of 11827760? 6 What is the millions digit of 4663211? 4 What is the units digit of 143917? 7 What is the thousands digit of 12215834? 5 What is the hundreds digit of 1297912? 9 What is the thousands digit of 969466? 9 What is the thousands digit of 40871? 0 What is the tens digit of 8748792? 9 What is the ten thousands digit of 1903754? 0 What is the ten thousands digit of 6781168? 8 What is the ten thousands digit of 176024? 7 What is the ten millions digit of 22857393? 2 What is the hundred thousands digit of 17204
{ "pile_set_name": "DM Mathematics" }
. g**(150/37) Simplify ((((r/r**(-5/4))/r)/r)/(r*r/((r**2/r)/r)*r*r*r*r))/((r**(-2/3)/r)/(r/(r*r**(-1/5)/r))) assuming r is positive. r**(-173/60) Simplify y**(-9/4)/(((y*y**(1/15)*y)/y)/y) assuming y is positive. y**(-139/60) Simplify (((v*v/v**(-1/4))/v)**(1/26))**(1/2) assuming v is positive. v**(5/208) Simplify (u**0*u*u)**(-31)/(u*u*u**(-1/3))**(-1/48) assuming u is positive. u**(-8923/144) Simplify (((n*n/(n/(n**(1/6)/n)*n)*n)/n)/n**(7/4))/(((n*n**(-3))/n*n)/n*(n/n**0)/n) assuming n is positive. n**(5/12) Simplify f**(-12)*f**17/f assuming f is positive. f**4 Simplify (b**4)**(2/39) assuming b is positive. b**(8/39) Simplify c**20*c*c*c**(19/2) assuming c is positive. c**(63/2) Simplify (m/(m*m**0/m*m*m)*m*m*m**0/m)/(m**(-1/3)/m)**35 assuming m is positive. m**(140/3) Simplify (l**(-4)/(((l*l**(2/37)/l)/l)/l))/(l**8*l*l**(-3)/l*l*l) assuming l is positive. l**(-335/37) Simplify ((j**(-1/4))**(-2/71))**16 assuming j is positive. j**(8/71) Simplify (i**3/(i**(2/9)*i))/(i/i**(-4)*i**(1/6)) assuming i is positive. i**(-61/18) Simplify t**(-2/39)/t**10 assuming t is positive. t**(-392/39) Simplify h**(1/2)*(h*((h**(-4)*h)/h)/h)/h*(h**(-1))**(4/29) assuming h is positive. h**(-269/58) Simplify ((h*(h**(-1/3)/h)/h)/(h*((h**(-8)*h)/h)/h))/((h**1/h)/(h*h**(-4))) assuming h is positive. h**(11/3) Simplify (j**0)**1*j*j*j*j**(1/7)*j**(-5/4) assuming j is positive. j**(53/28) Simplify (u**1/(u*u/(u**(2/23)*u)))**(-18/5) assuming u is positive. u**(-36/115) Simplify g**(-5/7)/g*g*((g/(g*g**6/g*g)*g)/g)/g assuming g is positive. g**(-54/7) Simplify c**(6/13)/c**(1/16) assuming c is positive. c**(83/208) Simplify ((q**(-1/3)*q*q)**(1/43))**(-30) assuming q is positive. q**(-50/43) Simplify x**5/((x**(-5)/x)/x)*(x**(-2/5))**(3/10) assuming x is positive. x**(297/25) Simplify ((p**(5/3)/p)/(p/((p/((p/p**1)/p))/p*p)*p))/(p**(-1)/(((p/p**2)/p)/p)) assuming p is positive. p**(-4/3) Simplify (n**(2/3)/n)/(n**8*n)*n**(-2/3)/(n**(-1)/n) assuming n is positive. n**(-8) Simplify p**(-3/2)*p**(1/8) assuming p is positive. p**(-11/8) Simplify j**(-1/2)*j*j**1*(j**(-1))**(-44) assuming j is positive. j**(91/2) Simplify (k**(-3/8)*k)/(k**17/k*k) assuming k is positive. k**(-131/8) Simplify k**(3/4)/k**2*(k/(k*(k*(k*k**(-2/3)*k)/k)/k*k)*k)**2 assuming k is positive. k**(-23/12) Simplify ((j*(j/(j**(1/2)/j))/j)**(-21))**(3/16) assuming j is positive. j**(-189/32) Simplify k**12/(((k**(2/3)*k)/k)/k) assuming k is positive. k**(37/3) Simplify ((u**(-2/3))**(-23))**(-38) assuming u is positive. u**(-1748/3) Simplify (z**4/z**(-10))**(-37) assuming z is positive. z**(-518) Simplify (n/(n**(3/11)/n*n*n))**(-2/85) assuming n is positive. n**(6/935) Simplify o**(-7)*o/(o**6/o)*(o*o/(o**(-2/3)/o)*o)**(-39) assuming o is positive. o**(-193) Simplify (r**23)**41 assuming r is positive. r**943 Simplify (t*t**(-5/3))**(2/39) assuming t is positive. t**(-4/117) Simplify (a*a**(-7)*a**(-4/7))/(a**(-1))**(-2/157) assuming a is positive. a**(-7236/1099) Simplify ((k*k**(-9))/k)/k**(2/53) assuming k is positive. k**(-479/53) Simplify y**(1/2)/y**6*(y**(-1/4))**(-7/8) assuming y is positive. y**(-169/32) Simplify ((c/(c/(c/(c*c**(-11/2)))))/c**(3/11))**(34/7) assuming c is positive. c**(1955/77) Simplify c**7*(c/(c/(((((c*c**(3/26))/c)/c)/c)/c)))/c assuming c is positive. c**(81/26) Simplify y/y**(-2/3)*y*y*y/(y/y**(-10)) assuming y is positive. y**(-19/3) Simplify w**(1/3)*w/(w**(-3)/w*w) assuming w is positive. w**(13/3) Simplify j**14*j/(j/(j*j*j/j**(-19))) assuming j is positive. j**36 Simplify (s**2/s*s*s**(2/7))**(-24) assuming s is positive. s**(-384/7) Simplify ((w*w**(-1/6))**(-3/4))**(11/7) assuming w is positive. w**(-55/56) Simplify (y*y**1)**28/(y**(-1)*y)**(-50) assuming y is positive. y**56 Simplify (p*p*p**2)**(1/19)*p**(2/17)*p*p*p/(p*p**(-6)) assuming p is positive. p**(2690/323) Simplify (k**(-1/6)*k/k**(1/5)*k)/(k*k**(-7)*(k*(k**(-5/2)/k)/k)/k) assuming k is positive. k**(182/15) Simplify (c/(c*c**6)*c**(-5/2))/(c*c**(-1/2))**19 assuming c is positive. c**(-18) Simplify d**(-1/2)/d**6*d*d/(d*d*d**2*d)*(d/d**(4/7))/d assuming d is positive. d**(-141/14) Simplify ((w*(w/(w**(2/9)*w*w*w*w)*w)/w)/((w**(-6)*w)/w))/(w**(-6)/w*w/(w*w**(1/7)/w)) assuming w is positive. w**(625/63) Simplify ((x*x**3*x)/x**(2/5))/(((x*x**(-7))/x)/(x*x**(-3/2))) assuming x is positive. x**(111/10) Simplify (h/(h**(2/13)*h)*h*h**(-1/7)*h*h)/(h**4*h/(h/h**(1/2))) assuming h is positive. h**(-327/182) Simplify (l**(-6/13)*l*l)/l**32 assuming l is positive. l**(-396/13) Simplify ((p*p**(3/5)*p)/p**(-5/6))**(-8/7) assuming p is positive. p**(-412/105) Simplify (d**9*d*d**(-2/19))**(-17) assuming d is positive. d**(-3196/19) Simplify (s/(s**(-3)*s)*s**(2/3))/((s*s/s**(2/3))/s)**(-14/13) assuming s is positive. s**(157/39) Simplify ((f**(-4)/f)/((f**(3/5)*f)/f))**22 assuming f is positive. f**(-616/5) Simplify ((a/(a*a**(-9)))/a)/(a/(a*a/a**(1/5)*a))*a*a/a**(2/13)*a*((a*a**(-2/5))/a*a)/a*a assuming a is positive. a**(861/65) Simplify (a*(a/(a/a**(2/17)))/a)**(2/35) assuming a is positive. a**(4/595) Simplify (h/(h*h**26*h))**(-2/63) assuming h is positive. h**(6/7) Simplify g*(g*g*(g*(g/(g/g**(-22)))/g*g)/g*g*g)/g*g*g*g*g*g*g*g**(3/4)/g assuming g is positive. g**(-49/4) Simplify ((j*j**(-1))/j)**(-25)*(j**(2/7)/j*j)/j*((j**(1/9)/j)/j*j)/j assuming j is positive. j**(1411/63) Simplify (c**(-5)/c*c)/c**(-8/7) assuming c is positive. c**(-27/7) Simplify p**2/p*p*p/(p/p**10) assuming p is positive. p**12 Simplify b**(1/4)/(b**(3/7)/b)*b**(-2)*b*b*b**(2/7) assuming b is positive. b**(31/28) Simplify (g/(g/g**(4/13)))/g*g*g*g*g/(g/g**(-2/7))*g assuming g is positive. g**(275/91) Simplify (d/((d/(d**(5/7)/d))/d))**(4/7) assuming d is positive. d**(20/49) Simplify (h**(-18/13)/h)/h*h*h/h**(-36) assuming h is positive. h**(450/13) Simplify (v**15*v*v*v**(2/3))**41 assuming v is positive. v**(2173/3) Simplify (z**(1/4))**26/((z*z**(2/3)*z)/(z*z**(-3))) assuming z is positive. z**(11/6) Simplify (z/z**(2/11)*((z*(z*((z*(z**(-7/6)*z)/z*z)/z)/z*z*z)/z*z)/z*z)/z)**(2/25) assuming z is positive. z**(7/33) Simplify f**20*f/f**(-2/9)*f assuming f is positive. f**(200/9) Simplify (g**16)**(-36) assuming g is positive. g**(-576) Simplify (d/d**(2/17))**(-1/4) assuming d is positive. d**(-15/68) Simplify (j/(j*j**1))**(-23/5)/(j**0)**32 assuming j is positive. j**(23/5) Simplify (v/v**(-4))**17 assuming v is positive. v**85 Simplify (h/h**(-6)*h)**(-13) assuming h is positive. h**(-104) Simplify c**(-2/3)*c**1*c*c**(-1/4)/(c/c**4*c) assuming c is positive. c**(37/12) Simplify (x*x/x**(-1))**14/(x/x**(1/3))**(-15) assuming x is positive. x**52 Simplify v**(20/7)/(v*v**25) assuming v is positive. v**(-162/7) Simplify (o**(2/9))**(-3/2)/(o**(1/5)*o*((o/(o*o**(-8)*o))/o)/o) assuming o is positive. o**(-98/15) Simplify (o*o**3)**(-42) assuming o is positive. o**(-168) Simplify (i**(3/8)/(i*i**(-11)/i))**(-16) assuming i is positive. i**(-182) Simplify ((p/p**(-12)*p)/p**(7/4))**(-22) assuming p is positive. p**(-539/2) Simplify s/(s/(s*(s/((s**(-14)/s)/s))/s))*s/(s**(-12)/s) assuming s is positive. s**31 Simplify ((g**(-2/9)/g)**28)**38 assuming g is positive. g**(-11704/9) Simplify (((f*f**(-1/3))/f)/f)**(-6)*f*f/f**(-4)*f*f/f**(-1/8) assuming f is positive. f**(129/8) Simplify c/(c/c**(-2))*c*c**18 assuming c is positive. c**17 Simplify ((z*z**(-1))/z*z/z**(-2/7)*z)**47 assuming z is positive. z**(423/7) Simplify (k**(1/9)*k*k*k*k*k*(k/(k/(k**(-4)*k)))/k)**(-13) assuming k is positive. k**(-130/9) Simplify (x**(2/7))**(-12/7)/(x**(-10)/x*x**(-3)) assuming x is positive. x**(662/49) Simplify (s*s*s**(-1/7)*s*s/s**(-2/15))**(-37) assuming s is positive. s**(-15503/105) Simplify (b/b**3*b*b*b*b*b**(-2))/(b*b*b*b/b**(2/29)*b*b*b**(-5)) assuming b is positive. b**(-27/29) Simplify (y**(-2))**(4/27)/((y/(y**(-1/3)/y*y)*y)/y**2) assuming y is positive. y**(-17/27) Simplify (t**26)**(14/11) assuming t is positive. t**(364/11) Simplify (c**(2/13))**(3/28) assuming c is positive. c**(3/182) Simplify ((f**(-2/7)/f)/f*f*f**6*f)**(6/5) assuming f is positive. f**(48/7) Simplify q**7*q*q**(-14) assuming q is positive. q**(-6) Simplify (t**(-3/5)/t**(5/6))**30 assuming t is positive. t**(-43) Simplify (l**(20/3)*l)/(l**10*l) assumi
{ "pile_set_name": "DM Mathematics" }
*4 - 2*f**4 + 0*f**4 + (-4*f**2 + f**2 + f**2)*(2 - 56*f + 56*f - 16*f**2). 29*f**4 - 4*f**2 Expand (-1 + 2 - 2)*(5*z**4 + 0*z**4 + z**4). -6*z**4 Expand t**2 + 0*t + 0*t + (-2*t + 2*t + 2*t**2)*(-2 + 3 + 1) + 2*t**2 - 3*t**2 + 0*t**2 - 3*t + 2*t**2 + 3*t + (t + t - 4*t)*(-t + 0*t + 3*t). 2*t**2 Expand (4*w**4 + 0*w**4 - 3*w**4 + (-w**2 + 2*w**2 + 0*w**2)*(w**2 - w**2 + 2*w**2))*(39 + 15 - 1). 159*w**4 Expand 10*x + 4*x - 4*x + (-x - x + 3*x)*(4 - 2 - 1) + 5*x - 2*x - 5*x. 9*x Expand -g + g + 3*g**5 + (4*g**3 - 5*g**3 - 2*g**3)*(0*g**2 - g**2 - g**2). 9*g**5 Expand ((-3*o**2 + o**2 + 0*o**2)*(-1 - 3 + 2) - 4*o - o**2 + 4*o)*(-4*o**3 + o**3 + 7*o**3). 12*o**5 Expand (j + 2*j - 4*j)*(-6*j**2 + 3*j**2 + 12*j**2). -9*j**3 Expand (5*b - b - 5*b)*(-3*b**3 - 18*b**2 + 14*b**3 + 17*b**2) + b**3 - b**3 + b**4. -10*b**4 + b**3 Expand (2*m**2 + m**2 - 5*m**2)*(4*m - 7*m + 0*m)*(-3 + 7 - 1)*(0 + 3 - 5). -36*m**3 Expand (5 + 11*u**2 - 5)*((u - 3*u + 4*u)*(6 - 4 - 1) + u + u - 3*u - 9*u - 4 + 4). -88*u**3 Expand (-5*o**5 + 4*o**5 + 2*o**5)*(-5 + 3 + 1)*(-1 + 23 - 2). -20*o**5 Expand (4*p - 2*p - 4*p)*(-10 - 11 + 6)*(0*p + 0*p - 2*p). -60*p**2 Expand (0 + 3 - 7)*(2*y + 3 - 3)*(4 + 4 + 0) + 3*y - 2*y - 3*y. -66*y Expand (3*d**2 - 4*d**2 + 3*d**2)*(86 - d**2 - 86 - 12*d**3). -24*d**5 - 2*d**4 Expand (i**3 - 4*i**3 + 4*i**3)*(-1 + 1 - 2*i**2 + (-4*i + 0*i + 3*i)*(6 + 7*i - 6)). -9*i**5 Expand (-x**2 + x**2 + x**2)*(3*x**2 + x**2 - 5*x**2) + 4*x**4 + 0*x**4 - 2*x**4 - 296 + 296 + 50*x**4. 51*x**4 Expand (1 + 0 - 2 + (-1 + 3 - 4)*(3 - 4 + 3) + 0 + 0 - 1 + 2 - 3 + 3 - 2 + 2 + 2)*(-3 - 1 + 3)*(c - 4*c**2 - c). -8*c**2 Expand 3*b**2 - b**2 - 3*b**2 - 4 + 4 + 2*b**2 + (-3 + 3 + b)*(b - 2*b + 2*b) - 2 + 2*b**2 + 2 + 2*b**2 + 1 - 1 + 2*b**2 - 3*b**2 - 2*b**2. 3*b**2 Expand (-3 - 2*a + 3)*(-2*a**2 - a**2 + 5*a**2)*(-3 - 3 - 5). 44*a**3 Expand (-5*s - s + 3*s)*(2 + 4 - 1). -15*s Expand (-2 + 8*f + 2)*(1 - 1 - 1) + 3*f + 2*f - 6*f. -9*f Expand (0*p**2 + 0*p**2 + p**2)*(4 - 1 - 1) + 3*p - 3*p - 3*p**2. -p**2 Expand (-1 + 1 + 4 + 1 - 6 + 3 + (-3 + 1 - 1)*(-1 + 6 - 2))*(-2*z**3 + 1 - 1). 14*z**3 Expand (-4 + 4 + 2*y)*(-y - 2 + 2 + 0*y - 3*y + 5*y + 3*y - 5*y + y + (4*y - 5*y + 3*y)*(2 + 2 - 7) + 3*y - 2*y + y). -8*y**2 Expand (-5*f + 4*f + f**2 + 2*f + 2)*(-84 - 17*f + 84). -17*f**3 - 17*f**2 - 34*f Expand (-3 + 3 + v)*(4*v - 4*v - v**3) - 5*v**4 + 4*v**4 + 17*v**4 - 3*v**3 + 2*v**4 + 3*v**3. 17*v**4 Expand (r - 3*r - 6*r)*(0*r - 3*r + r)*(0 - 4*r + 0). -64*r**3 Expand (0*c**2 + 0*c**2 - c**3 + 1)*(3*c**2 - 3*c**2 - 5*c**2) + (5*c**3 - 5*c**3 - 2*c**3)*(0*c**2 + 3*c**2 - c**2). c**5 - 5*c**2 Expand 11*s**2 + 18*s**2 - 6*s**2 + (-5*s + 4*s + 3*s)*(0 + 0 + s). 25*s**2 Expand (2 - 3 + 3)*(2*c + 2*c + 2*c)*(1 - 4 + 2). -12*c Expand (0 + 4 - 2)*(-3*b + 3*b + b) - 3*b + 3*b + 2*b + b + 2*b + 10*b. 17*b Expand 3*l**3 + l**3 - 6*l**3 + (-6*l**2 + 20*l - 20*l)*(-1 - l + 1) - l**3 - l**2 + l**2. 3*l**3 Expand -4*m**3 + 5*m**3 + 0*m**3 + (4*m + 2*m - 5*m)*(-3*m**2 - 2*m**2 + 2*m**2). -2*m**3 Expand (-5 - 2 + 5)*(-p**3 - 2 + 2 - 5*p). 2*p**3 + 10*p Expand (-4*h**3 + 5*h**3 - 3*h**3)*(3*h - 7*h - 2*h - 3*h - 4*h + 5*h + 2*h + 0 + 0 + (3 - 3 + 2*h)*(1 - 1 + 2) - 2*h + 1 - 1). 8*h**4 Expand (-g**2 + 0 + 0 + 4*g**2 - 2 + 2 + (-g + 2*g + 0*g)*(1 - 1 - 2*g))*(3 - 4 + 0). -g**2 Expand (-5*r**3 + r**3 + 6*r**3)*((-1 + 2 + 0)*(3 - 2 + 0) + 1 - 2 + 3 + 1 + 1 - 4). 2*r**3 Expand (-4*n**2 + 4*n**2 + n**2 - n - 1)*(n**2 + 0*n**2 + 0*n**2). n**4 - n**3 - n**2 Expand (4*z - z - z + (2 + 1 - 2)*(1 - z - 1))*(-z**3 - z**2 + z**2). -z**4 Expand (-3 - 1 + 2)*(2*f + f - 2*f)*(-11 + 21 + 14). -48*f Expand (2 + 0 - 3)*(-3*l - 3*l**2 + 3*l) - 4*l**2 + 2*l**2 - 4*l**2. -3*l**2 Expand -18 - 3*j + 6*j - 4*j + 4*j - 4*j + j + (-2 + 2 - 2*j)*(-4 + 1 + 4). -2*j - 18 Expand (4*f - 2*f**5 - 4*f)*(7 - 13 + 3). 6*f**5 Expand (0 + 0 + 2*l)*(7 - 3 + 4)*(l**4 + 0*l + 0*l). 16*l**5 Expand (-10 - d**3 + 10)*(10*d + 11*d - 9*d)*(-2*d + 4*d + 0*d). -24*d**5 Expand (-3*g**2 + g**3 + 4 - 4)*(-2*g - 4*g + 5*g). -g**4 + 3*g**3 Expand (3 + 2*v - 3)*(-26*v**3 + 13*v**3 + 15*v**3). 4*v**4 Expand -2*u**3 + 0*u**3 + 4*u**3 + 4*u**3 - 2*u**3 - u**3 + 0 + u**3 + 0 + (0*u**2 + 5*u**2 - 3*u**2)*(0*u - 4*u + 6*u) - 27*u**3 - 4*u**2 + 15*u**3 + 14*u**3. 10*u**3 - 4*u**2 Expand (-2 + 2 + 2*n)*(-2*n**2 + 2*n**2 - 3*n**3) + (3*n**2 - 3*n**2 + 2*n**4)*(-4 + 4 + 1) + n + 2*n**4 - n - 2*n**4 + n**2 - n**2. -4*n**4 Expand (5*n - 3*n + 2*n + (n - 2 + 2)*(-1 + 0 - 1) + (2 + 0 - 4)*(-n + 0 + 0))*(-3*n + 2*n + 3*n). 8*n**2 Expand ((3 + 3*c**2 - 3)*(-c**2 - 3*c**2 + 2*c**2) - 4*c**4 - 2*c**4 + 5*c**4)*(-2*c + 0 + 0)*(1 + 2 + 0). 42*c**5 Expand (-3 + 4 - 3)*(-2 - 4*j + 2)*(-2 + 0 + 3). 8*j Expand 2*i + 1 + 2*i**2 + 4 - 7 + (-2*i + 4*i + 0*i)*(-4*i - 3*i + 5*i) + 0*i**2 + 2*i**2 + 0*i**2 - 2*i**2 + 2*i**2 - i**2. -i**2 + 2*i - 2 Expand (4 - 2 - 1)*(-i**3 + 2*i**3 + i**3) + 5*i**3 - 4*i**3 - 2*i**3 - 4*i**3 - 3*i + 3*i. -3*i**3 Expand (2 - 2 + v**4)*(3*v - 9*v - 13*v). -19*v**5 Expand (-2*o - o + 2*o)*(2 - 1 - 5)*(4*o**4 + 5*o**4 - 5*o**4). 16*o**5 Expand 0*l - 2*l**2 + 0*l - 3*l**2 + 3*l**2 + 2*l**2 + (l**2 + 0*l**2 - 3*l**2)*(-2 - 1 + 1) - 7 + 15*l**2 + 7. 19*l**2 Expand 21 - l**5 + 635*l**4 - 635*l**4 + (3*l**2 + 0*l**2 - 2*l**2)*(-2*l**2 - 3*l**3 + 2*l**2). -4*l**5 + 21 Expand (-4 + 0 + 5)*(1 + 0 + 1)*(-19 + 22 - 2*p + 19). -4*p + 44 Expand (-4 + 3 + 6)*(-b**2 + b**2 + 5*b**2). 25*b**2 Expand (0*p**3 + 15*p**3 - 13*p**3)*(-2*p + 2*p - 3*p). -6*p**4 Expand (2*k + 1 - 1)*(2*k**2 + 0*k**2 - 3*k**2) - 5*k + 4*k**3 - 8*k**3 - 2 + 5*k**3. -k**3 - 5*k - 2 Expand (-k**3 + 5*k**3 + 0*k + 2*k)*(-4 + 2 + 1). -4*k**3 - 2*k Expand (-4 + 4 - 2)*(4 - 2 - 3)*(2 - 2 - 5*r**3 - 3*r**3 + 2*r**3 + 2*r**3 + (-2*r**2 + r - r)*(5 - 2*r - 5) + r**3 + 3*r - 3*r + 5*r**3 - 4*r**3 + 0*r**3). 4*r**3 Expand (2 - 4 + 6)*(-5*p**5 + 24*p**5 - 11*p**5). 32*p**5 Expand (-2*v**2 + v**2 - v**2)*(-25*v**2 + 10*v**2 + 16*v**2 + 6*v**3). -12*v**5 - 2*v**4 Expand 4*v**4 - 4*v**4 - 2*v**4 + (2*v - v + v)*(v**3 + 2*v - 2*v) + 0*v**4 + v**4 - 7*v**4. -6*v**4 Expand (-2 + 3 + 0)*(0 - 2*n + 0) - 4*n + 4*n - 2*n - 3 + 3*n + 3 + (2*n + 0*n + 0*n)*(3 + 0 - 2) + n + 0*n + 0*n. 2*n Expand -2*c**4 - 2*c + 2*c + (3*c**2 - c**2 - c**2)*(3 - 2*c**2 - 3) + 5*c**3 - 17*c**3 - 3*c**4 + 2*c**4. -5*c**4 - 12*c**3 Expand (-s + s - 2*s + (s - 1 + 1)*(-11 - 9 + 6))*(s + 0 + 0). -16*s**2 Expand (-2*i + 2*i + 3*i + (2 + 3 - 1)*(3*i - 3*i - i))*(-1 + 1 + i). -i**2 Expand (-5*o**2 + 3*o**2 - o**2)*(-12 - 4*o + 12). 12*o**3 Expand (4*a - 4*a - a)*(-a**2 - 5*a**2 + 0*a**2 + (3*a**2 - a**2 - 3*a**2)*(5 - 4 + 0) + 0*a**2 - a**2 + 0*a**2). 8*a**3 Expand (-5 + 2 + 2)*(-2*g**2 + g - g)*(-2 + 3 + 1)*(-1 + 1 + 3). 12*g**2 Expand (-t - t + 0*t)*(-2*t**4 + 2*t**2 - 2*t**2 - 3*t**4 - 2*t**4 + 4*t**4 + (-t**2 + t**2 - t**2)*(-2*t**2 + 5*t**2 - 2*t**2)). 8*t**5 Expand 5 + 0 + s**4 - 3 + (0*s + 3*s + 0*s)*(0*s**2 + 2*s**3 + 0*s**2) - 3*s**2 - s**4 + 3*s**2. 6*s**4 + 2 Expand (4*a**2 - a**2 - a**2)*(0 - 3 + 1 + (-2 + 4 - 3)*(10 + 1 - 16)). 6*a**2 Expand -24 - 9*h**5 + 24 + (-h + 4*h - h)*(-5*h - h**4 + 5*h) + 0*h**5 + 6*h**5 - 4*h**5. -9*h**5 Expand (9*t + 18 - 19 + 17*t)*(-2*t + 3*t - 2*t). -26*t**2 + t Expand (-25*v - 28*v + 55*v)*(2 - 2 - v) + (0 + 3 - 4)*(v**2 + 3*v**2 - 3*v**2) - 2*v**2 + 5*v**2 - 4*v**2. -4*v**2 Expand -3*r**5 - 91 + 2*r**5 + 90 + r**5 - 2*r**5 - r**5 + (0*r**5 + 0*r**5 + 2*r**5)*(-5 + 3 + 4). r**5 - 1 Expand (3*f + 0*f + 5*f)*(3*f**2 + f**3 + f**2 - 2*f**2). 8*f**4 + 16*f**3 Expand c**2 + 1 + c**2 - 8*c**2 - 4 - c**2 + 4 + c**2 + c**2 - 3*c**2 + (0 + 0 - c)*(-c - 2*c + c) - c**2 + 5*c**2 - 3*c**2. -5*c**2 + 1 Expand (-t - t + 3*t)*(2*t - 2*t + 2*t)*(0 + 1 - 4). -6*t**2 Expand (-1 + 5 - 3)*((-p**3 + 0*p**3 + 2*p**3)*(-2*p**2 + 2*p**2 - p**2) + (0*p - p + 2*p)*(-p**3 + 2*p**4 + p**3) + 5*p**5 + 8*p - 8*p). 6*p**5 Expand (y**2 - 1 + 1)*(-2*y**3 + 0*y**2 + 0*y**2) + (0*y**2 + 0*y**2 - y**4)*(6*y - 2*y - 2*y) + y**5 - 3 + 3 + 2 - 2 - 3*y**5 - 3*y**5 + y**4 - y**4. -9*y**5 Expand (-3*m**2 - m + m)*(0*m**2 + 0 + 2*m**2 + 1). -6*m**4 - 3*m**2 Expand (2 - 1 - 8 - 6)*(9*z - 10 + 10). -117*z Expand 6*l**4 + l**4 - 3*l**4 + (-4*l**3 + 2*l**3 + 4*l**3)*(-2*l - 3*l + 4*l) + 2*l**2 + 4*l**4 - 3*l**3 + 3*l**3. 6*l**4 +
{ "pile_set_name": "DM Mathematics" }
-126166, -168239, -210312, -252385? -294458 What is the next term in -5079891, -20319536, -45718939, -81278100, -126997019, -182875696? -248914131 What is the next term in -6712, -1916, 11110, 36482, 78316? 140728 What is the next term in -322876, -1291497, -2905866, -5165983, -8071848, -11623461, -15820822? -20663931 What comes next: 283478, 1133893, 2551250, 4535549, 7086790? 10204973 What is the next term in -43771, -87688, -131605, -175522? -219439 What is the next term in 9180466, 9180470, 9180474, 9180478, 9180482, 9180486? 9180490 What is next in 29113, 31526, 33961, 36418? 38897 What is next in 648176, 1296464, 1944754, 2593046, 3241340? 3889636 What is the next term in 30512, 30341, 30170? 29999 What comes next: 1293, 9687, 32509, 76971, 150285, 259663, 412317, 615459? 876301 What comes next: -1113386, -4453524, -10020420, -17814074, -27834486, -40081656? -54555584 What is the next term in 7404, 60696, 205352, 487056, 951492, 1644344, 2611296, 3898032? 5550236 What is next in -4905, -19571, -44017, -78237, -122225, -175975, -239481? -312737 What comes next: 1101308, 1101318, 1101328, 1101338, 1101348, 1101358? 1101368 What is the next term in 33329, 33392, 33441, 33476? 33497 What is the next term in -49693, -99401, -149109, -198817? -248525 What is the next term in 28683, 28710, 28761, 28848, 28983, 29178, 29445? 29796 What is the next term in 39168, 156825, 352920, 627453, 980424, 1411833? 1921680 What comes next: 23397, 45966, 67713, 88638, 108741, 128022? 146481 What comes next: -22084778, -22084757, -22084736? -22084715 What comes next: 3, -95, -239, -429, -665, -947, -1275? -1649 What is the next term in 7432016, 7432017, 7432018? 7432019 What is the next term in 2603, 3309, 4483, 6125, 8235? 10813 What is next in 323, 860, 1597, 2534, 3671, 5008, 6545? 8282 What comes next: 3660917, 14644568, 32950647, 58579148, 91530065? 131803392 What is next in 2390789, 2390754, 2390713, 2390666, 2390613, 2390554? 2390489 What is next in 22607, 22929, 23253, 23579, 23907, 24237, 24569? 24903 What is the next term in 10053, 10081, 10179, 10383, 10729? 11253 What comes next: -69353, -554352, -1870793, -4434398, -8660889, -14965988, -23765417? -35474898 What comes next: -102306, -102273, -102190, -102033, -101778, -101401, -100878, -100185? -99298 What is the next term in 1771899, 3543806, 5315715, 7087626, 8859539? 10631454 What comes next: 1482, 4507, 8646, 13893, 20242? 27687 What is the next term in 228217, 456416, 684603, 912778, 1140941, 1369092? 1597231 What comes next: -45301321, -90602658, -135903995, -181205332? -226506669 What is the next term in 3023181, 3023187, 3023193, 3023199, 3023205? 3023211 What is the next term in -6185, -5923, -5661, -5399, -5137? -4875 What comes next: 5710955, 5710953, 5710951, 5710949, 5710947, 5710945? 5710943 What is the next term in 2043376, 2043389, 2043416, 2043463, 2043536, 2043641, 2043784? 2043971 What comes next: 17793202, 35586405, 53379608, 71172811, 88966014, 106759217? 124552420 What comes next: -1108, -1139, -1196, -1279? -1388 What is the next term in -31893, -63786, -95679, -127572? -159465 What is the next term in -360233, -1440986, -3242241, -5763998? -9006257 What is next in 7504, 14913, 22202, 29371, 36420? 43349 What is next in 5456, 21583, 48454, 86063, 134404, 193471, 263258? 343759 What is the next term in 15204, 14233, 13262? 12291 What is the next term in -8915, -35656, -80205, -142544, -222655, -320520, -436121? -569440 What is the next term in 10250175, 10250164, 10250145, 10250118, 10250083, 10250040, 10249989? 10249930 What is next in 8162, 3026, -5534, -17518, -32926? -51758 What is the next term in 59539, 59640, 59743, 59848, 59955? 60064 What is next in -3195598, -3195584, -3195570, -3195556? -3195542 What is next in -2175, -2180, -2195, -2226, -2279, -2360? -2475 What comes next: -7029154, -7029148, -7029138, -7029124? -7029106 What is next in -577405, -1154813, -1732219, -2309623, -2887025, -3464425, -4041823? -4619219 What comes next: -2025, -3116, -6071, -11820, -21293, -35420? -55131 What comes next: 306, 4319, 16434, 41091, 82730, 145791, 234714, 353939? 507906 What is the next term in -257, -553, -849, -1139, -1417, -1677, -1913, -2119? -2289 What comes next: -23118, -23111, -23104, -23097, -23090? -23083 What is next in -5, -408, -1639, -4106, -8217? -14380 What comes next: 4312, 17514, 39986, 72112, 114276, 166862, 230254? 304836 What comes next: 1936, 1822, 1568, 1174, 640? -34 What comes next: -1933, -6726, -14373, -24874, -38229, -54438, -73501? -95418 What comes next: 2694144, 2694146, 2694150, 2694156? 2694164 What is next in -17727, -15276, -12825? -10374 What comes next: -6418826, -6418835, -6418844, -6418853, -6418862, -6418871? -6418880 What comes next: 37715, 38139, 38563, 38987, 39411? 39835 What is next in 3286630, 6573227, 9859824, 13146421, 16433018, 19719615? 23006212 What comes next: -107608, -107673, -107858, -108223, -108828? -109733 What comes next: -784319, -1568597, -2352825, -3136979, -3921035, -4704969, -5488757? -6272375 What is next in -401233, -401233, -401235, -401239, -401245, -401253? -401263 What is the next term in -2255, -5360, -9153, -13628, -18779, -24600, -31085? -38228 What comes next: 1228, 2107, 2986, 3865? 4744 What is the next term in 11439653, 22879321, 34318989, 45758657, 57198325, 68637993? 80077661 What comes next: -534, 744, 4214, 10968, 22098? 38696 What is the next term in -4819, -19225, -43231, -76837? -120043 What is next in 102430, 204930, 307430, 409930, 512430? 614930 What is the next term in 121254, 141343, 161446, 181569, 201718, 221899? 242118 What is the next term in -10064574, -20129147, -30193720, -40258293, -50322866, -60387439? -70452012 What comes next: -11823996, -11824000, -11824004, -11824008, -11824012? -11824016 What is next in -1712467, -1712454, -1712441, -1712428, -1712415? -1712402 What is the next term in -17807, -35511, -53117, -70619, -88011, -105287? -122441 What is the next term in -122143265, -244286526, -366429787, -488573048, -610716309? -732859570 What is next in -334313764, -668627527, -1002941290? -1337255053 What comes next: -3789, -1501, 4709, 16803, 36743, 66491? 108009 What is next in 7664, 35324, 81426, 145970, 228956, 330384, 450254? 588566 What is next in -1118, -4352, -9742, -17288, -26990, -38848, -52862? -69032 What is next in 111446, 223089, 334730, 446369? 558006 What comes next: -27353, -109898, -247471, -440066, -687677, -990298, -1347923? -1760546 What is the next term in 1657235, 6629356, 14916223, 26517836, 41434195? 59665300 What comes next: 1960070, 1960073, 1960078, 1960085, 1960094, 1960105, 1960118? 1960133 What is the next term in 295711, 591502, 887293? 1183084 What is the next term in 11723, 22560, 32509, 41570, 49743, 57028? 63425 What is the next term in -1125, -2295, -3743, -5613, -8049? -11195 What comes next: 278016, 1112059, 2502126, 4448217, 6950332, 10008471? 13622634 What comes next: 250554, 500579, 750604? 1000629 What comes next: -2969, -11999, -27065, -48179, -75353, -108599, -147929, -193355? -244889 What comes next: -15999, -31874, -47749, -63624, -79499? -95374 What is the next term in 56578, 56504, 56380, 56206, 55982? 55708 What comes next: 108085, 106402, 104707, 102994, 101257, 99490, 97687? 95842 What is next in 55626024, 55626022, 55626020, 55626018, 55626016, 55626014? 55626012 What is next in 2951920, 2951921, 2951922, 2951923, 2951924, 2951925? 2951926 What is the next term in -34141, -61246, -81317, -94354, -100357? -99326 What comes next: -19383199, -19383199, -19383201, -19383205? -19383211 What is next in -8547, -13746, -18945, -24144, -29343, -34542? -39741 What is next in 31763, 63569, 95377, 127181, 158975, 190753? 222509 What is next in 352, 1087, 2270, 3871, 5860? 8207 What comes next: -2727738, -2727694, -2727622, -2727522, -2727394, -2727238? -2727054 What comes next: -841964, -841987, -842014, -842045, -842080, -842119? -842162 What comes next: 673, 1559, 3991, 8743, 16589, 28303, 44659? 66431 What is the next term in 7233512, 7233513, 7233514? 7233515 What comes next: -1452, -1456, -1490, -1554, -1648, -1772? -1926 What is the next term in 148839, 297689, 446553, 595431? 744323 What comes next: 40842844, 40842820, 40
{ "pile_set_name": "DM Mathematics" }
11*h Collect the terms in -2585*s**2 + 1355*s**2 + 1288*s**2. 58*s**2 Collect the terms in -121 + 109*d + 120 - 12*d + 80*d. 177*d - 1 Collect the terms in 22971*n + 23019*n - 46049*n. -59*n Collect the terms in 32782*m**2 + 32772*m**2 - 65563*m**2. -9*m**2 Collect the terms in 15 + 14 - 314*s**2 - 29 - 134*s**2. -448*s**2 Collect the terms in -50*u**2 + 7*u + 50*u**2 + 61*u**3. 61*u**3 + 7*u Collect the terms in 177*c - 13647 + 27287 - 13642. 177*c - 2 Collect the terms in 631*b - 5 + 1 - 143*b + 4. 488*b Collect the terms in 4*c + 10222246057 - 10222246057. 4*c Collect the terms in 1106*z - 2232*z + 1124*z. -2*z Collect the terms in -3 - 66*w - 19*w**2 - 40*w + 4. -19*w**2 - 106*w + 1 Collect the terms in 743*f - 383*f - 371*f. -11*f Collect the terms in 3859 + 164*w**2 - 1929 - 1930. 164*w**2 Collect the terms in 2305040151 - 2305040151 - 2*r. -2*r Collect the terms in -20*p + 44*p**3 + 93*p - 25*p**3 - 21*p**3. -2*p**3 + 73*p Collect the terms in 2089 - w**2 + 242*w**3 - 2089 + 127*w**3. 369*w**3 - w**2 Collect the terms in -2*r - 15517 + 15517 - 10*r. -12*r Collect the terms in -8*j**3 - 20*j**3 - 21 + 38 - 17 + 2*j**3. -26*j**3 Collect the terms in -36*g + 3*g + 3 - 3 - 46*g. -79*g Collect the terms in -131*d - 76*d - 419*d + 28*d. -598*d Collect the terms in -35654*a + 10*a**2 + 35654*a + 10*a**2. 20*a**2 Collect the terms in 385*m**2 - 705*m**2 - 2444*m**2 + 79*m**2. -2685*m**2 Collect the terms in -20*b + 0 - 1 - 21*b - 22*b + 62*b. -b - 1 Collect the terms in -34516 + 34516 + 8*f**3. 8*f**3 Collect the terms in -3*t**2 + 22 - 20 - 2*t**2 + 38*t. -5*t**2 + 38*t + 2 Collect the terms in -71419*x + 2*x**2 + 142845*x - 71426*x. 2*x**2 Collect the terms in -10*g**2 - 4322159 + 4322159. -10*g**2 Collect the terms in -647*b + 586 - 586. -647*b Collect the terms in -100*x**2 + 261*x**2 - 82*x**2 - 80*x**2. -x**2 Collect the terms in 13*f**2 - 17493*f + 8768*f + 8725*f. 13*f**2 Collect the terms in 5865240 - 5865240 - 366*d. -366*d Collect the terms in 6*b**3 + 10*b**3 + 9*b**3 - 32*b**3 + 10*b**3. 3*b**3 Collect the terms in 47 - 17 + 16 + 117 - 10*w**3. -10*w**3 + 163 Collect the terms in 2424*w + 1920*w + 471*w - 153*w. 4662*w Collect the terms in 34*l**2 - 34*l**2 + 11*l**3 + 8*l**3. 19*l**3 Collect the terms in 622*f - 622*f - 67*f**2 + 68*f**2. f**2 Collect the terms in 1169 - 1169 + 985*m. 985*m Collect the terms in -5*m**2 + 36*m**2 - 1436228*m + 1436236*m. 31*m**2 + 8*m Collect the terms in -318821 + r**3 + r**3 + 318821. 2*r**3 Collect the terms in -7*l - 365 - 2*l + 362 + 0*l - 4*l. -13*l - 3 Collect the terms in 11*i**3 + 879534*i**2 - 879534*i**2. 11*i**3 Collect the terms in -1 + 0 + 5 - 4 - 30877*j + 30880*j. 3*j Collect the terms in -3240792*r - 34*r**3 + 3240792*r. -34*r**3 Collect the terms in 73*t + 1 - 1 - 201*t + 71*t + 53*t. -4*t Collect the terms in -188997*w + 188997*w - w**2. -w**2 Collect the terms in 6*p**3 - 365*p**2 + 7*p**3 - 291*p**2 + 656*p**2. 13*p**3 Collect the terms in 5*a + 8290454 - 16580910 + 8290456. 5*a Collect the terms in -60*d - 60*d + d**3 - 11*d**3 + 120*d. -10*d**3 Collect the terms in 208*a - 361*a + 187*a. 34*a Collect the terms in 0*t + 0*t + 1489*t**2 - 867*t**2. 622*t**2 Collect the terms in 3 + 1055*x**3 - 913*x**3 - 3. 142*x**3 Collect the terms in 351 + 8*b**2 + 10*b**2 - 16*b**2 - 351. 2*b**2 Collect the terms in 59*f**2 - 109*f**2 - 2*f - 61*f**2. -111*f**2 - 2*f Collect the terms in 1448 - 1448 - 233*s + 227*s. -6*s Collect the terms in -847541*b + 11*b**2 + 847541*b. 11*b**2 Collect the terms in 0*u - 701501 + 701458 - u. -u - 43 Collect the terms in 108*i - 10929*i**2 + 10932*i**2 - 111*i. 3*i**2 - 3*i Collect the terms in 45679*d**3 - 91306*d**3 + 45675*d**3. 48*d**3 Collect the terms in -52*v - 306*v - 328*v + 2 - 2. -686*v Collect the terms in -22*f - 26885*f**2 + 43*f - 21*f. -26885*f**2 Collect the terms in -1318*q**3 - 23*q + 51*q - 28*q. -1318*q**3 Collect the terms in 2618 + 4*y - 5235 + 2618. 4*y + 1 Collect the terms in 1069*h**3 + 5605 - 5605. 1069*h**3 Collect the terms in 3*a + a + 1945*a**3 - 2*a. 1945*a**3 + 2*a Collect the terms in 1924 - 978 - 946 + 20*v. 20*v Collect the terms in 21*u + 107 - 52 + 2*u - 55. 23*u Collect the terms in -34*o**3 - 37*o**3 - 31*o**3 + 127*o**3 - 34*o**3. -9*o**3 Collect the terms in 1 + 43*d**3 + 63*d**3 - 13*d**3 - 78*d**3. 15*d**3 + 1 Collect the terms in -852*n**2 + 1706*n**2 + 2205*n**2. 3059*n**2 Collect the terms in 600*g**3 + 1 - 10 + 9. 600*g**3 Collect the terms in -7608*m**2 + 110 - 59 - 51. -7608*m**2 Collect the terms in 4*r**3 - 95*r**3 + 205*r**3 + 88*r**3 + 696*r**3. 898*r**3 Collect the terms in -n**3 + 14321*n**2 + 14323*n**2 - 28644*n**2 + n - n. -n**3 Collect the terms in -233*z - 149*z + 13*z - 8*z - 4. -377*z - 4 Collect the terms in -544 + 37 - 2*d**3 - 2*d**3 + 507. -4*d**3 Collect the terms in -27*g**3 - 622*g**2 + 1300*g**2 - 678*g**2. -27*g**3 Collect the terms in -95*k**2 - 13*k**2 - 2*k + 0*k - 19*k**2 - 43*k**2. -170*k**2 - 2*k Collect the terms in -409*b**3 + 520*b**3 - 1332*b**3. -1221*b**3 Collect the terms in -8653 + 17309 - 8645 + 2*s. 2*s + 11 Collect the terms in -2*b + 4*b + 28*b + 36*b**2 - 40*b**2 - 5*b. -4*b**2 + 25*b Collect the terms in -1407285*j**3 + 703644*j**3 + 703640*j**3. -j**3 Collect the terms in 1712*t**3 - 820*t**3 - 895*t**3. -3*t**3 Collect the terms in 9*y**3 + 5*y**3 - 83*y**3. -69*y**3 Collect the terms in 147*b**2 + 42 + 145*b**2 - 585*b**2 + 139*b**2 + 153*b**2. -b**2 + 42 Collect the terms in -61689*q**2 + 61689*q**2 + 79*q**3. 79*q**3 Collect the terms in 303 - 5 + 2*r**3 - 3*r**3. -r**3 + 298 Collect the terms in -2*f - 153*f**2 + 47*f**2 + f + f + 101*f**2. -5*f**2 Collect the terms in -20816 + 5204 - 2*a + 5206 + 5199 + 5207. -2*a Collect the terms in 7*a**2 + 128 - 74 - 66. 7*a**2 - 12 Collect the terms in 1906*m - 890*m - 1008*m. 8*m Collect the terms in 21*i**2 - 213*i + 213*i - 9*i**2 + 4*i**2. 16*i**2 Collect the terms in 439*w + 278*w - 19 - 717*w - 8*w**2 + 19. -8*w**2 Collect the terms in 1 + 498*t + 552*t - 366*t. 684*t + 1 Collect the terms in 5 - 2 - 2 + 6614*w - 6619*w + 3. -5*w + 4 Collect the terms in -983*t**2 - t - 2*t - 993*t**2 + 1983*t**2. 7*t**2 - 3*t Collect the terms in 327388*m - 327388*m - 11*m**2. -11*m**2 Collect the terms in -1 - 4 + 210*z + 3 - 21 - 215*z. -5*z - 23 Collect the terms in -128*x - 121*x - 157*x + 398*x. -8*x Collect the terms in 3*l**2 + 66*l - 174*l + 53*l + 54*l + 25*l**2. 28*l**2 - l Collect the terms in 2169*t**2 - 2169*t**2 + 5438*t**3. 5438*t**3 Collect the terms in 57098*x**3 + 2*x - 2*x - 57103*x**3. -5*x**3 Collect the terms in 9*t + 855*t**2 + 11*t + 7*t - 27*t. 855*t**2 Collect the terms in 1545 - 1005*s + 2*s**2 - 1545. 2*s**2 - 1005*s Collect the terms in -160*g + 155*g + 1 + 343. -5*g + 344 Collect the terms in -2 + 39*q - 38*q + 2 - 104*q. -103*q Collect the terms in -125*x**3 + 81*x**3 + 25*x**3 + 21*x**3. 2*x**3 Collect the terms in -69*t + 32*t - 15*t. -52*t Collect the terms in 120823344*x - 120823344*x + 15*x**2. 15*x**2 Collect the terms in -108*f + 412*f + 6*f**2 - 106*f - 105*f - 93*f. 6*f**2 Collect the terms in -256883732*n + 4*n**2 + 256883732*n. 4*n**2 Collect the terms in 13998 - 13998 - 2*o**3. -2*o**3 Collect the terms in -1613*g - 1118*g + 169*g. -2562*g Collect the terms in 11*v**2 - 403 + 75 + 11*v**2 - 4*v**2. 18*v**2 - 328 Collect the terms in -25813*s - 25820*s + 51625*s. -8*s Collect the terms in 20 + 81*b**2 - 410*b**2 - 20. -329*b**2 Collect the terms in 26*b**2 - 13*b**2 - 13*b**2 - 35*b**3. -35*b**3 Collect the terms in 3247*k + 2667*k + 16485*k. 22399*k Collect the terms in 32*b + 40*b**3 - 101*b + 34*b + 35*b. 40*b**3 Collect the terms in 12700 - 24*r**2 - 4264 - 4179 - 4257. -24*r**2 Collect the terms in 33541*h**3 - 31 + 31. 33541*h**3 Collect the terms in 25*l**2 - 4*l**2 - 92*l + 93*l. 21*l**2 + l Collect the terms in -4495*g + 9002*g - 4509*g + 20*g**2. 20*g**2 - 2*g Collect the terms in -226*d - 1 - 174*d - 1. -400*d - 2 Collect the terms in -84*i**2 + 85*i**2 + 6*i - 4*i + 6*i. i**2 + 8*i Collect the terms in 42*s**2 + 2*s**3 + 7398920 - 7398920 + 112*s**2. 2*s**3 + 154*s**2 Collect the terms in -22 + 352*a - 351*a - 2 - 23. a - 47 Collect the terms in 20*u + 18*u + 17*u + 5277
{ "pile_set_name": "DM Mathematics" }
be the third derivative of -3*x**4/8 - 13*x**3/6 - 7*x**2. Give y*q(k) + 6*b(k). k - 1 Let v(s) = 27*s**2 + 1155*s - 36. Let k(m) = 5*m**2 + 228*m - 7. What is -11*k(h) + 2*v(h)? -h**2 - 198*h + 5 Let s(c) = -15*c - 1. Suppose -24 = 4*y + 2*f, -4*y + 7*f = 12*f. Let o(d) = 30*d + 2. What is y*s(v) - 4*o(v)? 30*v + 2 Let w(x) = -2*x + 3. Let m = -36012 - -36010. Let k(y) = 2*y - 4. Calculate m*k(o) - 3*w(o). 2*o - 1 Let h(o) = -1439*o - 15. Let b(u) = 1343*u + 14. Let l(d) = -15*b(d) - 14*h(d). Let r(k) = k + 1. Suppose 4*c = 4*w, w + c - 12 = -c. Give w*r(m) - 3*l(m). m + 4 Let k(a) = 6*a. Let d(z) = -6*z. Let y(x) = 2*x**3 - 40*x**2 + 71*x + 22. Let j be y(18). Calculate j*d(h) + 5*k(h). 6*h Let q be (-1944)/(-648) - (0 - -2)/((-2)/(-2)). Let k(y) = -1. Let c(m) = -4*m - 2. Calculate q*c(b) + k(b). -4*b - 3 Let u(w) = -1. Let n(l) = -1. Let i(c) = 2*n(c) - 3*u(c). Let o(v) = -v - 2. Let m be 387/903 - (-39)/7 - 8. Determine m*o(d) - 3*i(d). 2*d + 1 Let l(z) = z**3 + z. Let m be 804/198 - (-32)/(-528). Let k(s) = -17*s**3 + 4*s. Calculate m*l(w) - k(w). 21*w**3 Let p(r) = 14*r**2 - 324*r + 40. Let y be p(23). Let o(g) = -9*g + 1. Let d(t) = 9*t - 1. What is y*d(j) - 5*o(j)? -9*j + 1 Let d(u) = 62*u + 2831. Let w(o) = 37*o + 1415. Calculate 3*d(i) - 5*w(i). i + 1418 Let h be 15/3 + -5 + -28. Let j(g) = g**3 - g**2 - g - 1. Let x(q) = 28*q**2 - 36*q**3 + 3*q**3 + 33*q - 5*q + 3 + 25 - 2*q**3. Calculate h*j(p) - x(p). 7*p**3 Let r(u) = u + 1. Let t be 1856/288 + (-4)/9. Suppose 0 = -3*g + m + 4, g = m - t*m + 12. Let s(v) = 5*v - 2. Determine g*s(o) + 4*r(o). 14*o Let b(d) = -11*d**2 + 17*d. Suppose 3*x - 9 = -7*t + 10*t, t - 3*x = 7. Let q(h) = -4*h**2 + 6*h. Determine t*q(w) + 3*b(w). -w**2 + 3*w Let n(s) = -10*s - 21. Suppose -13*v + 5*q = -16*v + 11, -5 = -2*v - q. Suppose 5*m - 14 - 41 = 0. Let j(y) = -3 + 2*y + 5 + 2. Calculate m*j(d) + v*n(d). 2*d + 2 Let f(h) = 62*h**3 + 3*h**2 + 3*h - 5. Let v(c) = 124*c**3 + 7*c**2 + 7*c - 13. What is 5*f(b) - 2*v(b)? 62*b**3 + b**2 + b + 1 Let t(z) = 5*z**2 + 9. Let o(i) be the first derivative of 5*i**3/3 + 10*i + 35. What is 5*o(g) - 6*t(g)? -5*g**2 - 4 Let h(a) = -15*a**3 - 4*a**2 - 2*a - 37. Let v(t) = 15*t**3 + 4*t**2 + 3*t + 46. Calculate -5*h(w) - 4*v(w). 15*w**3 + 4*w**2 - 2*w + 1 Let g(j) be the third derivative of j**4/24 - j**3/2 - 2*j**2 - j - 617. Let w(p) = 1. Give -g(t) - 6*w(t). -t - 3 Let i(y) = -60*y + 23655. Let x(l) = -11*l + 4730. Determine 2*i(t) - 11*x(t). t - 4720 Let h(j) = -3*j**2 - 9*j. Let w(m) = 4*m**2 + 10*m. Suppose -5*p + s = -6*p - 505, -p - 4*s = 508. Let g = p - -511. Determine g*h(d) + 6*w(d). 3*d**2 - 3*d Let o(v) = -3*v**3 - 2*v**2 + 3*v - 1. Let c(y) = -3*y**3 - 2*y**2 + 4*y - 2. Let z(s) = -34*s + 1533. Let b be z(45). Determine b*c(i) - 4*o(i). 3*i**3 + 2*i**2 - 2 Let h(d) = 22*d**2 - 13*d - 35157. Let f(n) = -5*n**2 + 3*n + 8789. Calculate 13*f(m) + 3*h(m). m**2 + 8786 Let k(q) = -q**2 - 3. Let v(g) = -2*g**2 + g - 7. Let l = -143 - -146. Suppose 10 = 5*n, o + l*o = -3*n - 6. What is o*v(f) + 7*k(f)? -f**2 - 3*f Let m(z) = z**3 + z**2 - z. Let f = 20 + -14. Let w(a) be the first derivative of -2*a**4 - 2*a**3 + 3*a**2 + 29332. Calculate f*m(t) + w(t). -2*t**3 Let p(n) = -148*n**2 - 12. Suppose 5*c = -25, -8*c = 3*q - 5*c + 30. Let a(t) = -59*t**2 - 5. Determine q*p(v) + 12*a(v). 32*v**2 Let c(k) = 533*k**2 - 9*k - 21. Let p(f) = -133*f**2 + 2*f + 5. Give -2*c(g) - 9*p(g). 131*g**2 - 3 Let t(i) = 3155*i**2 + 9465*i + 3155. Let u(j) = -3*j - 1. Determine t(v) + 3155*u(v). 3155*v**2 Suppose -6 - 29 = -2*g + 13. Let q(l) = -1. Let k(b) = -4*b + 24. Calculate g*q(i) + k(i). -4*i Let t(s) = 2*s**2 - 5*s**2 - s**2 - 11*s**3 + 4 - 5*s**2. Suppose 0 = -12*h - 5 - 44 + 1. Let u(x) = -5*x**3 - 4*x**2 + 2. Give h*t(d) + 9*u(d). -d**3 + 2 Let k(b) = -b - 3. Let r(j) = 2*j + 8. Let n = 62 - 43. Suppose -3*g = -n + 4. Suppose -6 = -h - g*y + 17, -4*h + 5*y + 17 = 0. Calculate h*k(o) + 3*r(o). -2*o Let i(v) = -5*v**3 + 22*v**2 + 2. Let s = 2171 - 2175. Let t(n) = -9*n**3 + 45*n**2 + 3. Give s*t(z) + 7*i(z). z**3 - 26*z**2 + 2 Let m(t) = 679*t**3 + 11*t**2 + 6*t. Let f(r) = -3394*r**3 - 52*r**2 - 28*r. What is -3*f(y) - 14*m(y)? 676*y**3 + 2*y**2 Let x(c) = c**2 - c - 32. Let p(l) = l + 12. Let n(v) = 8*p(v) + 3*x(v). Let u(s) = 7*s**2 + 9*s. Determine -5*n(t) + 2*u(t). -t**2 - 7*t Let p(u) = -2*u**3 - 3*u**2 + 1. Let w(l) be the first derivative of 5*l**4/4 + 7*l**3/3 - 3*l + 2267. Give -7*p(d) - 3*w(d). -d**3 + 2 Let v(s) = 15*s - 2*s**3 + 11*s - 29*s - 1446*s**2 + 1446*s**2. Let u(i) = -2*i**3 - 4*i. Let k(z) = -z**3 - 5*z**2 - 3. Let w be k(-5). Give w*u(n) + 4*v(n). -2*n**3 Let t(b) = -11*b**3 - 113*b**2 - 35*b - 14. Let g be t(-10). Let o(a) = 189*a**3 + 36*a**2 - 36. Let h(n) = 27*n**3 + 5*n**2 - 5. Calculate g*h(l) - 5*o(l). 27*l**3 Let c(o) = 1. Let m(k) = k. Let f(d) = 4*d. Let p(j) = -2*f(j) + 9*m(j). Suppose -114 + 46 = 34*v. Give v*p(n) - c(n). -2*n - 1 Let s(a) = a**2 - 47. Let z be s(7). Let u(w) = -24*w**2 - 2*w + 35*w**2 - 6*w - 2*w + z*w. Let d(p) = 7*p**2 - 5*p. Calculate -8*d(l) + 5*u(l). -l**2 Let j(d) = -2*d**3 + 24*d**2 + 7*d - 1251. Let t(a) = 6*a**3 - 69*a**2 - 20*a + 3753. Determine 17*j(k) + 6*t(k). 2*k**3 - 6*k**2 - k + 1251 Let r(l) = 102*l**2 + l - 8. Let h(s) = 51*s**2 + s - 3. Let f(x) = -5*h(x) + 3*r(x). Let u(b) = 77*b**2 - 3*b - 13. What is -7*f(w) + 5*u(w)? 28*w**2 - w - 2 Let l(j) = -4*j**2 - 2*j - 5. Let m(k) = -k**2 - k - 1. Suppose -5*n + 4*x = 29, 5*x + 10 = 2*n + 42. Calculate n*l(h) + 2*m(h). 2*h**2 + 3 Let i(d) = 38*d**2 - 3. Let c(b) = -956*b**2 + 60*b + 76. Let r(y) = -21033*y**2 + 1330*y + 1672. Let u(t) = -133*c(t) + 6*r(t). What is -76*i(x) + 3*u(x)? -38*x**2 Let m(a) = 5*a**3 + 50*a**2 + a - 19. Let p(i) = -4*i**3 - 35*i**2 - i + 13. Determine 5*m(g) + 7*p(g). -3*g**3 + 5*g**2 - 2*g - 4 Let n(u) = 9*u**2 - 376*u + 4. Let m(f) = -21*f**2 + 751*f - 9. Determine 4*m(d) + 9*n(d). -3*d**2 - 380*d Let w(c) = c**2 - c - 7. Let d be w(0). Let t(j) = 25815 - 25815 - 7*j**3. Let a(n) = 15*n**3. Calculate d*t(b) - 3*a(b). 4*b**3 Let j(m) = 2*m**2 + 2*m - 1. Let u(b) = -49*b**2 - 6*b + 8. Calculate 3*j(r) + u(r). -43*r**2 + 5 Let u(g) = -283*g - 6. Let l(b) = -284*b - 6. Calculate -3*l(m) + 4*u(m). -280*m - 6 Let y(w) = -26*w**3 + 43*w**2 - 15*w + 5. Let v(m) = 7*m**3 + m**2 - 1. Determine -4*v(a) - y(a). -2*a**3 - 47*a**2 + 15*a - 1 Let v(f) = f**2 + 89*f - 24. Let n(p) = -2*p**2 - 86*p + 28. Give -6*n(b) - 7*v(b). 5*b**2 - 107*b Let r(b) = 5*b + 1. Let a(q) = 5*q + 1. Let k(p) = -9*p + 75. Let j be k(9). Let o = 302 + -295. What is j*a(f) + o*r(f)? 5*f + 1 Let l(p) = -p. Suppose 0*w = 2*w + 18. Let d = -7 - w. Let o(h) = -7*h + 1. Let q(t) = 11*t - 2. Let z(y) = -3*o(y) - 2*q(y). What is d*l(s) + 2*z(s)? -4*s + 2 Let o(d) = -273*d - 2. Let b(t) = 548*t + 4. Determine 6*b(j) + 13*o(j). -261*j - 2 Let t(k) = -4*k + 4. Let v(f) = 22*f + 3750. Give -6*t(o) - v(o). 2*o - 3774 Let y(r) = -2*r. Let b(w) = -1259*w + 1. What is b(i) + 5*y(i)? -1269*i + 1 Let c(u) = 23*u + 4. Suppose 49*y - 31*y - 25 = 43*y. Let d(z) = z - 1. Calculate y*c(f) - 4*d(f). -27*f Let a(g) = 52*g**2 - 149*g - 10. Let z(p) = -18*p**2 + 48*p + 3. Give 8*a(j) + 25*z(j). -34*j**2 + 8*j - 5 Suppose 4*p + 3*v = -0*v + 8, -3*v + 12 = 0. Let m(d) = -70*d + 196*d - 65*d - 62*d. Let b(z) = -2*z - 5*z + 3 - z. Calculate p*b(c) + 6*m(c). 2*c - 3 Let v(h) = 102*h + 12 - 2 - 94*h. Let m(n) = -n + 1. Calculate -8*m(d) + v(d). 16*d + 2 Suppose -2*k + 7*y = 2*y - 19, 0 = -3*k + 5*y + 21. Let w(m) = -21*m**2 + 52*m**k - 2 - 15*m**2 - 8*m**2. Let h(n) = -57*n**2 + 15. Calculate -2*h(b) - 15*w(b). -6*b**2 Let w(a) = -a**2 + a + 1. Let k(x) = 4*x**2 - 5*x - 54. Let f be ((-2)/12)/((-5)/60) - -3. What is f*w(t) + k(t)? -t**2 - 49 Let g(f) = f**3 + f**2 - f - 1. Let j(b) = -5*b**2 + 2*b. Suppose -174 = 5*v - 8*z - 201, 13 = -v - 3*z. What is v*j(u) - g(u)? -u**3 + 4*u**2 - u + 1 Let c(s) = -2*s. Let a(p) = -7*p. Suppose -9 + 1065 = -4*n + 2*d, -n = -2*d + 270. Let r = 240 + n. What is r*c(q) + 6*a(q)? 2*q Let b(n) = -n**3 - 10*n**2 + 17*n - 80. Let h be b(-12). Let l(i) = -9*i. Let z(p) = 1 - 37*p - 1 + 2*p. Give h*z(m) - 15*l(m). -5*m Let c(t) = -3*t + 1. Suppose -3*y + 11 = -4*i, 5*i +
{ "pile_set_name": "DM Mathematics" }
v? -148*v Suppose -3*g + 51 = 5*y - 22, 3*g - 61 = y. Find the first derivative of -g + 32 - 47 + 89*n**2 wrt n. 178*n Let z(w) be the third derivative of 0*w**6 + 0 + 11/48*w**8 + 0*w**7 - 70*w**2 + 0*w + 0*w**4 + 29/60*w**5 + 0*w**3. Find the third derivative of z(j) wrt j. 4620*j**2 Suppose 62*q + 25 = 67*q. What is the first derivative of q*p**2 - 4*p**3 - 7*p**2 + 0*p**3 - 14 + 0*p**2 wrt p? -12*p**2 - 4*p Let u = -39 - -42. Suppose -l = -u + 1, -z + l = -23. Differentiate -15*h + 20*h**2 + 1 + z*h - 10*h with respect to h. 40*h Suppose 0 = -14*x + 37 + 19. Find the second derivative of 5 - 8*h**5 + 1570*h**2 + h**x - 4*h - 1570*h**2 wrt h. -160*h**3 + 12*h**2 Let h(v) = -520*v**2 + 8*v - 1901. Let m(s) = -173*s**2 + 2*s - 633. Let q(o) = -2*h(o) + 7*m(o). Differentiate q(k) with respect to k. -342*k - 2 Let a(s) be the second derivative of -21*s**4 - 2*s**3/3 + 169*s**2 - 1711*s. Find the second derivative of a(h) wrt h. -504 Suppose 4 = 3*a + 5*o + 43, 0 = a + 3*o + 13. Let y = a - -16. What is the derivative of -16*t**y - 1028*t - 6 + 1028*t wrt t? -48*t**2 Let f(b) be the first derivative of 21*b**4/4 + 25*b**2 + 81*b - 82. Let l(h) be the first derivative of f(h). Find the first derivative of l(c) wrt c. 126*c Let g = -6 - 97. Let f = g + 109. What is the third derivative of -3*m**2 + 43*m - 43*m + 7*m**2 + f*m**6 wrt m? 720*m**3 Suppose -288 = -17*j - 15*j. Find the second derivative of -j*x**2 - 120*x - 47*x**4 + 7*x**2 + 206*x**4 - 53*x wrt x. 1908*x**2 - 4 Suppose -3*k - 2*s = -s - 11, -7 = k + 3*s. Suppose -g + 8 = k. What is the third derivative of 26*p**6 + 11*p**6 - g*p**6 - 2*p**2 + 4*p**2 wrt p? 4080*p**3 Let t(q) be the first derivative of 189*q**4/4 + 2*q**3/3 + 617*q**2/2 - q + 552. What is the second derivative of t(z) wrt z? 1134*z + 4 Let j(b) = 19*b**2 - 3*b - 3. Let m be j(-1). Suppose -18*v = -m*v + 2. What is the third derivative of 11*z**2 + 3*z**v - 17*z**6 - 4*z**2 + 7*z**2 wrt z? -2040*z**3 Let m(z) = -z**2 + 6*z - 1. Let l(b) = -5226*b**2 + 58*b - 72. Let s(y) = l(y) - 8*m(y). Find the second derivative of s(i) wrt i. -10436 What is the third derivative of 212*o - 333*o**3 + 0*o**2 + 519*o**3 + o**2 + 485*o**3 - 2*o**2 wrt o? 4026 Let j(l) be the third derivative of 80 - 3*l**2 + 173/120*l**6 + 1/3*l**4 - 1/30*l**5 + 0*l + 0*l**3. What is the third derivative of j(k) wrt k? 1038 Let f be ((-12)/10)/(-1) - (-8)/10. Find the third derivative of -396*c**2 - 4*c + 243*c**5 + 142*c**f + 4*c wrt c. 14580*c**2 Let c = -60 - -88. Let t = -25 + c. What is the third derivative of 5*m**t + 15*m**2 - 5*m**3 + 17*m**4 - 5*m**4 wrt m? 288*m Suppose 25*k = 19*k + 12. Find the third derivative of k*n**6 + 78*n**6 - 3*n**6 - 35*n**2 wrt n. 9240*n**3 Let t(r) be the first derivative of r**5/5 + 10*r**3/3 + 5138*r**2 - 6111. What is the second derivative of t(o) wrt o? 12*o**2 + 20 Suppose -4*p = -0 - 4. Let d = 541 + -534. Differentiate -8*b + 1 - p - 6 - d with respect to b. -8 Let x be 100/26 + (48/(-52))/(-6). Suppose -x*f + 122 = -382. Find the second derivative of 2*t - 4*t - 137*t**3 + f*t**3 wrt t. -66*t Suppose -45 - 153 = -6*t. What is the second derivative of -47*x - 43*x**2 - 29*x**2 + t*x**2 wrt x? -78 Let f(s) = 24*s - 76. Let x be f(4). What is the second derivative of x*u + 16*u + 26*u + 71*u**2 + 3 - 3 wrt u? 142 Suppose 0 = -19*c + 26*c - 42. Find the second derivative of -75*w**2 + 86*w + c*w**2 + 90*w wrt w. -138 Let q be 18/(-90) + (-111)/(-5). Suppose -7*z - q = -9*z. What is the second derivative of -6 + 6 - z*f + 21*f**2 wrt f? 42 Suppose 306 = 2*m + 2*s, 3*m - 3*s - 630 = -171. What is the second derivative of 37527*k**2 + 136*k + m*k**4 - 37527*k**2 wrt k? 1836*k**2 Let d(z) be the first derivative of z**5/5 + 352*z**4 - 2*z**3/3 + 2031*z - 5256. What is the third derivative of d(i) wrt i? 24*i + 8448 Find the third derivative of -1002*c**2 + 1526*c**4 + c**3 - 2*c**3 + 0*c**3 - 1241*c**4 wrt c. 6840*c - 6 Find the second derivative of 1745*n**4 + 4692*n - 2*n**2 - 13623 + 6808 + 6815 wrt n. 20940*n**2 - 4 Let b(g) = -3*g - 47. Let k be b(-17). Let j be (-2)/6*(-11 + 11). Find the second derivative of -x - 5*x**5 - k*x + j*x wrt x. -100*x**3 Let y be (196/(-8) - 3)*(-16)/5. Suppose f = -2*f - 4*v + y, -92 = -4*f + v. Find the third derivative of 25*j**2 - 17*j**3 + f*j**3 - 12*j**3 wrt j. -30 Let p = 277 + -274. Find the second derivative of -39*c - 49*c**3 - 55*c**3 + 105*c + 155*c**p wrt c. 306*c Suppose 3*u - 45 + 18 = 0. Suppose 0 = 2*h + 5*y - 19, u*h - 4*h = -5*y + 25. What is the second derivative of h*c - 7*c - 16*c**2 - 3*c wrt c? -32 Let r(z) be the third derivative of 1509*z**7/70 - 10*z**4/3 - z**3/3 + 46*z**2 - 22. What is the second derivative of r(i) wrt i? 54324*i**2 Let t(z) = 1. Let g(x) = 21*x**3 - 9. Suppose -4*c = 72 - 272. Let q = 49 - c. Let f(l) = q*g(l) - 18*t(l). Find the first derivative of f(h) wrt h. -63*h**2 Suppose 0 = 4*p - p - 4*p. Let u be (p - 4)*(-9)/18. Find the third derivative of 1684*y**5 + 5*y**2 - 16*y**u - 1690*y**5 wrt y. -360*y**2 Find the third derivative of -c**4 - 461*c**2 - 19*c**4 + 12*c**3 - 14*c**3 - 12*c**3 + 13*c**3 wrt c. -480*c - 6 Let p(c) be the first derivative of 71/2*c**2 - 11 - 79*c. What is the first derivative of p(q) wrt q? 71 Let n(q) be the first derivative of -q**2/2 + 749*q + 1685. Differentiate n(c) wrt c. -1 Let b(o) be the second derivative of -o**6/15 - 487*o**5/20 + o**4/6 + 13*o**3/6 - 9*o**2/2 + 2406*o. What is the second derivative of b(w) wrt w? -24*w**2 - 2922*w + 4 Find the second derivative of 160 + 103 + 457*o**3 + 3*o + 359*o**3 + 2*o + 187*o**3 wrt o. 6018*o Let a(s) be the second derivative of 4581*s**6/10 + 7*s**4/12 - s**3/3 - 130*s**2 + 14052*s. What is the third derivative of a(g) wrt g? 329832*g Let d(o) = -11*o - 13. Suppose 2*g + 3*g = -4*c - 36, 0 = -c + 5*g - 9. Let p be d(c). What is the first derivative of p*j**3 - 148*j**3 + 73*j**3 + 2 wrt j? 33*j**2 Find the first derivative of -839 - 10*b - 54*b**3 + 18*b**3 - 6*b + 474 - 810 wrt b. -108*b**2 - 16 Find the second derivative of -251 - 211 + 250*n**3 - 935 - 18*n**2 - 2*n + 125 - 538 wrt n. 1500*n - 36 Let w = -190 - -193. What is the second derivative of -90*s**w + 3*s - 2*s - 25 + 10*s**3 - 54 wrt s? -480*s Let z(k) be the first derivative of 165*k**7/7 - k**5/5 + 2*k**3/3 + 2211*k + 1541. Find the third derivative of z(o) wrt o. 19800*o**3 - 24*o Find the first derivative of 63 + 1326*v + 1242*v - 596*v + 137 wrt v. 1972 Let v(g) be the first derivative of -47/3*g**3 + 0*g**4 + 0*g**2 + 180 + 2*g**5 + 0*g. What is the third derivative of v(r) wrt r? 240*r Suppose 2*a + n - 2 = 27, 5*n = -5*a + 85. Let k be (4/(-8) + 2)/(9/a). Find the second derivative of -5*m - 5*m**3 + k*m - 4*m - 6*m wrt m. -30*m Find the second derivative of -219*x**3 - 183*x**3 + 2*x - 289*x**3 + 1572 + 561*x**3 wrt x. -780*x Find the second derivative of -768*t**2 + 2134*t**3 + 768*t**2 - 6848*t**3 + 3734*t wrt t. -28284*t Let g(m) be the first derivative of 2102*m**4 - 14591*m**3/3 + 8001. Find the third derivative of g(x) wrt x. 50448 What is the second derivative of 187*r + 87*r + 116*r**4 + 82*r + 49*r + 47*r wrt r? 1392*r**2 Suppose 3*b + 5*t = 51, 5*b + 0*b - 51 = 3*t. Suppose -b = 4*x - 36. What is the third derivative of -x*j**3 + 18*j**3 + 740*j**2 - 755*j**2 wrt j? 72 Suppose 4*s + 604 = 3*q, 3*q = -3*s - 30 + 606. Differentiate -354*g**4 + 226*g**4 - 161 + q*g**4 wrt g. 272*g**3 Let y(x) be the third derivative of 391*x**6/6 + x**5/60 + 174*x**3 - 1011*x**2 + x. What is the third derivative of y(d) wrt d? 46920 Find the second derivative of 60 - 708*a**2 - 123 + 77 + 137 + a wrt a. -1416 Let f(w) = 3*w**3 + 273*w + 1746. Let g(p) = -p + 4. Let a(j) = -f(j) - 15*g(j). What is the first derivative of a(m) wrt m? -9*m**2 - 258 Suppose -2*r + 9 = -25. Find the third derivative of 79 - 149 + 79 - 90*j**6 - 3*j**2 + r*j**6 wrt j. -8760*j**3 Suppose 6*h = -h + 28. What is the third derivative of 88*d**2 - 1 - 215*d**2 + d**h + 1 + 5*d**5 wrt d? 300*d**2 + 24*d Let k(g) be the third derivative of -797*g**5/30 - g**4/12 + 4045*g**3/3 - 8653*g**2. What is the derivative of k(v) wrt v? -3188*v - 2 Let g(v) be the first derivative of -4212*v**7/7 + 502*v**3 + 3*v**2/2 + 601.
{ "pile_set_name": "DM Mathematics" }
qbbuussf. What is prob of picking 1 q and 1 u? 1/14 Three letters picked without replacement from hhhhkhhkkkhkhkkh. Give prob of picking 3 h. 3/20 Four letters picked without replacement from dddd. What is prob of picking 4 d? 1 What is prob of picking 2 p and 1 h when three letters picked without replacement from {m: 2, h: 7, p: 4, u: 1, c: 3}? 21/340 Two letters picked without replacement from {m: 16, d: 4}. Give prob of picking 2 m. 12/19 Four letters picked without replacement from xomom. Give prob of picking 2 o, 1 x, and 1 m. 2/5 Four letters picked without replacement from {c: 5, u: 3, m: 9, g: 1}. Give prob of picking 1 g and 3 m. 7/255 Three letters picked without replacement from {t: 6, d: 7}. What is prob of picking 1 d and 2 t? 105/286 Three letters picked without replacement from {u: 3, w: 2, h: 11, y: 3}. What is prob of picking 2 u and 1 y? 3/323 Calculate prob of picking 3 o when three letters picked without replacement from {y: 1, u: 1, h: 4, o: 5}. 2/33 Calculate prob of picking 2 r when two letters picked without replacement from yyrrlyypy. 1/36 Calculate prob of picking 1 e, 2 k, and 1 z when four letters picked without replacement from zeezbkzkzkbkzubzzbe. 21/646 Calculate prob of picking 1 y, 2 e, and 1 d when four letters picked without replacement from ydwwddedeyyeywwewyew. 40/969 Four letters picked without replacement from gggummmmgggggum. Give prob of picking 4 g. 2/39 Calculate prob of picking 1 i and 3 y when four letters picked without replacement from yyyyyyyyyiyyyyy. 4/15 Calculate prob of picking 1 c, 1 z, and 1 b when three letters picked without replacement from cobzp. 1/10 Three letters picked without replacement from {a: 2, b: 12, n: 1, g: 2, f: 1}. What is prob of picking 2 b and 1 f? 11/136 What is prob of picking 2 c and 1 u when three letters picked without replacement from {f: 1, y: 3, c: 3, u: 6, k: 1}? 9/182 Two letters picked without replacement from {h: 6, l: 4, k: 4}. What is prob of picking 1 l and 1 h? 24/91 What is prob of picking 1 a and 1 t when two letters picked without replacement from {e: 2, t: 2, a: 2, v: 3}? 1/9 Two letters picked without replacement from njqjrjrqrrqqrqrrqqnq. What is prob of picking 1 r and 1 j? 21/190 Two letters picked without replacement from {a: 1, v: 2, u: 1, z: 3, y: 3}. Give prob of picking 1 y and 1 a. 1/15 Four letters picked without replacement from oyooyooyyyoooo. What is prob of picking 3 o and 1 y? 60/143 Two letters picked without replacement from skk. Give prob of picking 1 k and 1 s. 2/3 Three letters picked without replacement from gvggvgvg. Give prob of picking 3 v. 1/56 Two letters picked without replacement from ixiiiixxxiiiuiixxxii. Give prob of picking 1 u and 1 x. 7/190 Four letters picked without replacement from {l: 1, v: 2, o: 2, a: 1, c: 2}. What is prob of picking 1 v, 1 a, and 2 o? 1/35 Three letters picked without replacement from {j: 6, h: 2, m: 1, a: 4, q: 2}. Give prob of picking 2 j and 1 a. 12/91 Two letters picked without replacement from bkbvvkbvkvv. What is prob of picking 1 v and 1 b? 3/11 Calculate prob of picking 3 z when three letters picked without replacement from {z: 7, b: 12}. 35/969 What is prob of picking 2 b when two letters picked without replacement from {b: 7}? 1 What is prob of picking 1 t and 1 s when two letters picked without replacement from {j: 3, s: 1, r: 1, t: 7, f: 2}? 1/13 Two letters picked without replacement from {c: 1, e: 3, v: 2, o: 3, x: 4, q: 4}. Give prob of picking 1 o and 1 x. 3/34 Three letters picked without replacement from bbbccbbbdbbddbbbbcb. What is prob of picking 1 c and 2 d? 3/323 Three letters picked without replacement from ffffxxxfxf. Give prob of picking 3 f. 1/6 Four letters picked without replacement from {t: 6, u: 13}. Give prob of picking 2 u and 2 t. 195/646 Calculate prob of picking 1 w, 1 g, and 1 m when three letters picked without replacement from {w: 1, g: 3, m: 5}. 5/28 Calculate prob of picking 1 z and 2 y when three letters picked without replacement from lyzyyyynllzzl. 15/143 Calculate prob of picking 3 i when three letters picked without replacement from {q: 5, x: 1, i: 10, g: 4}. 2/19 Three letters picked without replacement from zbbbh. Give prob of picking 3 b. 1/10 Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, p: 1, h: 1, b: 1, l: 2, s: 1}. 1/21 Two letters picked without replacement from mxmzzqwmm. What is prob of picking 2 q? 0 Four letters picked without replacement from {d: 9, p: 6, b: 2}. Give prob of picking 3 d and 1 b. 6/85 Two letters picked without replacement from htvh. What is prob of picking 1 t and 1 h? 1/3 Calculate prob of picking 2 b when two letters picked without replacement from {k: 2, b: 10, s: 3, t: 5}. 9/38 What is prob of picking 1 a and 3 y when four letters picked without replacement from {a: 4, w: 5, y: 7}? 1/13 Two letters picked without replacement from onbhzzhbnccnchn. What is prob of picking 1 b and 1 c? 2/35 Three letters picked without replacement from {a: 7, g: 6, e: 6}. What is prob of picking 3 e? 20/969 Two letters picked without replacement from eez. Give prob of picking 1 z and 1 e. 2/3 What is prob of picking 1 z and 1 y when two letters picked without replacement from yycsyzyyyzgcgyzyysy? 10/57 Calculate prob of picking 2 n when two letters picked without replacement from nbabnanna. 1/6 Calculate prob of picking 1 d and 3 v when four letters picked without replacement from {h: 8, e: 2, d: 2, v: 3}. 2/1365 Three letters picked without replacement from uuuiuuuuuuuiuuuuuu. Give prob of picking 3 u. 35/51 Two letters picked without replacement from hhttnq. Give prob of picking 1 n and 1 q. 1/15 Four letters picked without replacement from {o: 3, a: 7}. Give prob of picking 2 o and 2 a. 3/10 Four letters picked without replacement from aacaacaaaaacaaacaa. What is prob of picking 2 a and 2 c? 91/510 Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, n: 1, s: 1, y: 4, m: 1, f: 2}. 1/22 Calculate prob of picking 3 i when three letters picked without replacement from ienneninniini. 5/143 Three letters picked without replacement from {y: 7, s: 5, b: 1, u: 5}. What is prob of picking 1 s and 2 y? 35/272 Four letters picked without replacement from ihihhhhhhhi. Give prob of picking 2 h and 2 i. 14/55 Calculate prob of picking 1 f and 1 g when two letters picked without replacement from rffrfgrgrggffgfffr. 40/153 Calculate prob of picking 1 q and 2 f when three letters picked without replacement from qqfqfqqfqqq. 8/55 What is prob of picking 2 e when two letters picked without replacement from hcppppphcpzwecpce? 1/136 Two letters picked without replacement from vyzspqpypyyzqp. Give prob of picking 1 p and 1 v. 4/91 Calculate prob of picking 2 v, 1 j, and 1 k when four letters picked without replacement from {v: 3, i: 2, s: 1, k: 5, j: 3, o: 1}. 3/91 Two letters picked without replacement from {y: 6, e: 3, m: 2, q: 1, s: 4, p: 2}. What is prob of picking 1 e and 1 m? 2/51 Four letters picked without replacement from bbvqvbqqrbrrbnbbvqb. Give prob of picking 1 b and 3 v. 2/969 What is prob of picking 1 r, 1 f, and 1 k when three letters picked without replacement from bihfhbrkfbirif? 3/182 Calculate prob of picking 1 j, 1 a, and 2 u when four letters picked without replacement from auuuuuauuuuauuju. 99/910 Three letters picked without replacement from qkqkkk. Give prob of picking 3 q. 0 Calculate prob of picking 2 j, 1 u, and 1 r when four letters picked without replacement from urjrjujjujujr. 36/143 Calculate prob of picking 2 q when two letters picked without replacement from qqlqlqq. 10/21 Two letters picked without replacement from {u: 2, d: 8}. What is prob of picking 2 d? 28/45 Three letters picked without replacement from djjjddjjdjdddddj. Give prob of picking 1 d and 2 j. 27/80 What is prob of picking 1 s and 2 c when three letters picked without replacement from {s: 11, c: 3}? 33/364 Calculate prob of picking 2 b and 1 r when three letters picked without replacement from bxxbxrxrxxx. 2/165 Two letters picked without replacement from yppyyyyyylypyyyylpp. What is prob of picking 2 y? 22/57 Calculate prob of picking 1 h, 1 k, and 1 i when three lette
{ "pile_set_name": "DM Mathematics" }
2*q) - 12*q - 7*q + 5*q) to the form f*q**3 + c + z*q**4 + w*q + i*q**2 and give z. 24 Rearrange (q**2 + 0 + 0)*(2 - 2 + 2 + (2 - 2 - 1)*(-3 + 0 + 5) + 0 - 1 + 0) to the form w + f*q**2 + h*q and give w. 0 Rearrange -16*t**2 - 18 - 2*t**2 + 20 to g + q*t**2 + s*t and give q. -18 Express 4*q**2 - 5 + 2*q**2 - 5*q**2 - 4*q**2 in the form x + d*q**2 + m*q and give x. -5 Express (3 - 4 + 0)*(-12*a**2 + 3*a**2 + 2*a + 6*a**2) as k*a**2 + s*a + n and give k. 3 Express -67 + 0*n + 4*n**2 + 66 + n**4 - n as r + y*n**2 + k*n**4 + d*n + c*n**3 and give d. -1 Rearrange -3*f**3 + f**3 - 10 - 2*f + 3 + 0*f**3 to m + j*f**3 + q*f + s*f**2 and give m. -7 Express -49 + l**2 + 17 + 5 in the form u + m*l**2 + f*l and give m. 1 Express (-2*a - 1 + 1)*(4*a + 0*a - 3*a) - 34*a**2 - 140 + 140 in the form g*a**2 + k + s*a and give g. -36 Rearrange (0*t**2 + 0*t**2 + t**2)*(3 - 5 + 3) + (2*t + t - t)*(4 - 4 + t) to r*t + v + y*t**2 and give y. 3 Rearrange (0*z + 2*z**2 + 0*z)*(31 + 50 - 15) to c + k*z + t*z**2 and give t. 132 Express 2*n**2 - 3 + 9 - 5 + 3*n**2 as k*n**2 + d*n + u and give u. 1 Rearrange -16*v - 1 + 85 - 9 + 17*v to f + i*v and give i. 1 Express (2*y + 0 + 0)*(-y + 2*y + 2*y) + 5*y - 8*y - y**2 - 2*y**2 in the form w*y**2 + c*y + q and give q. 0 Express -r**4 + r + 42*r**3 + r**2 - 77*r**3 + 37*r**3 in the form s*r**4 + h*r**2 + b + f*r**3 + l*r and give b. 0 Rearrange (6*d + 0*d - 4*d)*(-d + 0 + 0) + 4*d**2 - 3*d**2 + 0*d**2 + 3*d**2 + 0*d**2 - 4*d**2 + 4*d**2 + 7*d**2 - 2*d**2 to r + h*d**2 + g*d and give h. 7 Rearrange (0*c - 8*c - 6*c)*(2 + 3 - 2) to x + b*c and give b. -42 Rearrange -u - 5*u + u - 8*u to the form n*u + y and give n. -13 Express 107 + 3*c - 107 as k + z*c and give z. 3 Rearrange 74*z + 141*z - 28*z to the form i*z + m and give i. 187 Rearrange 116*g**2 + 69*g**2 - 130*g**2 to the form w*g**2 + x*g + v and give w. 55 Express -2*b**3 + 7*b + 0*b**3 - 1 + 0*b**3 as m*b**2 + i*b + s*b**3 + a and give a. -1 Rearrange (0*c**2 + 0*c**2 + 2*c**3)*(-c + 0*c - 2*c + (-9 - 3 + 7)*(c - 3*c + 0*c)) + 2*c**4 - c**4 - 2*c**4 to w + r*c**2 + u*c**4 + l*c + s*c**3 and give u. 13 Rearrange (4 + 2 - 4)*(0*d - d**2 + 0*d) - 3*d**2 - 3*d**2 + d**2 to the form j*d + m + r*d**2 and give r. -7 Rearrange 0 - 8 + 4*l + 6 + 8*l**2 to m + u*l**2 + i*l and give u. 8 Express 3 + 2*o + 13 + 0 as z + y*o and give y. 2 Express (-1 + 15*q**2 - q - 12*q**2 - q)*(1 - 1 - 1) as s*q**2 + a*q + i and give a. 2 Express 0*f**4 + 5*f**2 - 3*f**4 + 3 + f**4 - 3*f**2 + 2*f**3 as s*f + p*f**4 + u*f**3 + l + g*f**2 and give p. -2 Rearrange 2 + 6*u**4 + 133*u + 2*u**2 - 133*u + u**3 to the form l*u**4 + a*u**2 + b*u + k*u**3 + r and give a. 2 Rearrange 35*d - 36*d - 1 + 0 - 6*d**3 - 2 to y*d**2 + o*d**3 + v + n*d and give n. -1 Express (-6 + 2 + 3)*(5*n**2 - 5*n**2 - n**2) + 3 - 3 + 2*n**2 + n - 29*n**2 + 15*n**2 - 12*n**2 as q + h*n + p*n**2 and give p. -23 Express -30*j - 45*j + 14*j in the form u + l*j and give l. -61 Express 2*z**2 - z**4 - 2*z**2 - 4*z + 4*z - 2*z**4 + (-2 + 0 + 4)*(7*z**3 - 7*z**3 + 4*z**4) as o*z**4 + p*z**2 + j*z + q*z**3 + y and give o. 5 Express (-2 + 6*t + 7 - 4)*(t**2 - t**2 - 3*t**2) as a*t + r + d*t**3 + k*t**2 and give d. -18 Rearrange -1 - 41*n + 2 + 35*n to r*n + j and give j. 1 Rearrange (0*f**2 + 2*f**2 + f**2)*(9*f - 5*f - 7*f)*(0 + 3 - 1) to the form n + m*f + o*f**3 + d*f**2 and give o. -18 Express (-5 + 4*f + 5)*(-4 + 0*f + 2 - 2*f) + (-3*f**2 + 3*f**2 + 2*f**2)*(-17 - 5 + 36) as k*f + l + w*f**2 and give w. 20 Rearrange (-24 + 6 - 10)*(z + 0*z + 0*z) + (3 - 2 + 0)*(3 - 3 + z) + (-1 + 2 - 2)*(-z + 6*z - 3*z) to w*z + p and give w. -29 Rearrange -4 - 6 - 69*g**2 + 10 to the form v*g**2 + u*g + a and give a. 0 Express -w**4 + 2*w + 0*w**4 + 15 + 3*w**3 - 17 in the form h*w**4 + a*w**2 + n + k*w**3 + i*w and give i. 2 Rearrange 7*n + 9*n - 17*n + (-1 + 1 + 2)*(-5*n - 3*n + n) to h + y*n and give y. -15 Rearrange (-5*c - 11*c + 2*c)*(0*c**2 - 4 + 5 + 2*c**2) to the form z*c**3 + s*c + d*c**2 + v and give z. -28 Express (0 + 0 - 6)*(-5*k**2 + 8*k - 8*k) as o*k**2 + y*k + n and give o. 30 Express (2 + 5 - 3)*(5 + 1 + 2*v - 4*v) as r + k*v and give k. -8 Express 3 + 44*i - 3 - i as a + o*i and give a. 0 Express 5*o**2 + 0*o**2 + o - 3*o**2 as c*o**2 + n + y*o and give y. 1 Express -u**2 - 11*u - 3 + 17*u + 3 in the form h*u**2 + s + d*u and give d. 6 Rearrange (23*t - 7*t + 19*t)*(-2 + 0 + 1) to l*t + y and give l. -35 Rearrange 6*y**4 + 1 + y**3 + 0*y - 3*y**2 + 0*y - 8*y**4 to h*y**4 + f + u*y + c*y**3 + s*y**2 and give h. -2 Express -j**4 - 11*j**3 - 5*j - 7*j**3 + 4 + 7*j + 19*j**3 as m*j**3 + o*j**2 + a + r*j**4 + s*j and give r. -1 Rearrange 112*f**2 - 202*f**2 + 101*f**2 to the form n + m*f + c*f**2 and give c. 11 Rearrange -5*c**2 - c**3 - 9 - 2*c**3 + 16 - 6 to the form y + q*c**3 + z*c + r*c**2 and give y. 1 Express 6 + n - n**2 - 6 + n - n + 2*n**2 + (4*n - n - 2*n)*(-3 + n + 3) + 2*n**2 - 3 + 3 in the form a*n + f*n**2 + c and give a. 1 Rearrange (-4 - 9 + 5)*(3*a**2 + 3*a + a - 7*a) to g*a**2 + b + t*a and give g. -24 Express (-2 + 6 - 3)*(-50 + 2*t + t + 42) in the form s*t + c and give s. 3 Rearrange (2 + 2 - 7)*(1 - 6 + 5*h + 3) to s*h + p and give p. 6 Express 1 - 7*n**4 + 9*n**4 - 2*n + n**3 - 2*n**3 as j + f*n**3 + p*n**2 + g*n**4 + v*n and give g. 2 Express (2*h**3 + h**3 + 0*h**3)*(25 - 23 + 11) in the form m + l*h**2 + p*h + g*h**3 and give g. 39 Express (3 - 3 - 2)*(8*q**4 - 27 + 27) + 4*q**4 + 3*q**4 - 5*q**4 as f*q**4 + x*q**2 + c + m*q**3 + d*q and give f. -14 Rearrange -5*t + 5*t - 6*t**2 + 1 - 1 + 2*t**2 + (4*t + t - 4*t)*(-t + 4*t - t) to h*t + l + s*t**2 and give s. -2 Express 10 + 3*w**4 + w - 7*w**4 - 8 + 2*w**2 as d*w**4 + h*w**2 + x*w + j + l*w**3 and give h. 2 Express (18*r**2 - 25*r**2 - 7 + 11*r**2)*(-3*r - r + 2*r) as t*r + h*r**2 + s*r**3 + g and give s. -8 Rearrange (-1 + 1 - n)*(0 - 2 + 1)*(-5 + 4 + 4)*(2*n**2 + n**2 - n**2) to q*n**2 + t + w*n**3 + l*n and give w. 6 Express (-3*t + 4*t - 2*t)*(0 + 3 + 1) + (5 - 1 - 3)*(2 - 2 - 2*t) as r + c*t and give r. 0 Rearrange -2*z**2 + 9*z - 2*z**2 + 2*z**2 - 1 + 4*z**2 to b*z**2 + s + k*z and give s. -1 Express -3*u + 13 - 13 - 4*u in the form l + v*u and give v. -7 Express -6*x - 2 - 2*x**3 + x**2 + 7*x + 2 as d + f*x + a*x**3 + m*x**2 and give f. 1 Rearrange 15*y + 3 - 3 + 0*y to the form i*y + w and give i. 15 Express 1 + 3 + 3 + 5 + k**3 in the form c*k**3 + v + j*k + g*k**2 and give g. 0 Express 13 + w**2 - 13 as t + h*w + v*w**2 and give v. 1 Rearrange -19*w**4 + 7*w - 8*w + 4*w**4 + 2 to the form i*w + v*w**3 + p*w**4 + b*w**2 + s and give s. 2 Express -4*a**2 + 4*a**4 + a**3 - 16 + 15 - 2*a - a**4 + 6*a**2 in the form j*a**4 + h*a**3 + k + r*a + m*a**2 and give h. 1 Express x**4 - 26*x - 22*x + 43*x + 2 in the form s*x**4 + z*x + v + c*x**2 + m*x**3 and give z. -5 Express -4 + 3 - 1 + v + (3 - 4 + 3)*(-v - 3*v + 3*v) - 6*v - v + v as q*v + d and give q. -7 Express 8*f + 4*f - 5*f + f as l + s*f and give s. 8 Rearrange 77*z**2 - 77*z**2 - 33*z**3 + 4*z**3 + 0*z**3 - 2*z**3 + (-3*z + 2*z + 0*z)*(z**2 + 5*z - 5*z) to the form v*z**2 + b*z + i*z**3 + m and give i. -32 Rearrange -10 - 13 + 25 - 3*o**3 to x + t*o**3 + g*o + u*o**2 and give t. -3 Rearrange (3*v - 4*v + 3*v)*(v - v - v)*(-5*v + 0*v - 10*v)*(-1 - 1 + 3) to the form r + x*v**3 + k*v + d*v**2 and give x. 30 Rearrange (19*w**2 - 15*w**2 - 8*w**2)*(-w**2 - 2*w**2 + 2*w**2 + (-w - 3*w + 2*w)*(-2 - w + 2)) to f*w**4 + s*w**3 + l*w**2 + j*w + k and give f. -4 Rearrange 26*o - o - 6*o to the form p*o + m and give m. 0 Rearrange (0*b - 4*b + 2*b)*(8 + 4 - 5) to the form h*b + s and give h. -14 Rearrange (-3 + 4*y**2 + 3)*(y**2 + 12 - 12) + (4 - 4 - 2*y**2)*(y**2 - y**2 - y**2) to the form b*y**3 + a + v*y**4 + k*y + o*y**2 and give v. 6 Express (-5 + 4 + 5)*(-3 + 3 - 1)*(k**4 - 103*k**4 + 20*k**4) as w*k + n*k**4 + b*k**3 + m*k**2 + t and give n. 328 Express -73*n + 40*n + 32*n - 12*n**2 as o + d*n + m*n**2 and give d. -1 Rearrange 0*i - 20*i**2 + 15*i**2 - i - 64*i**2 to the form f + x*i**2 + v*i and give x. -69 Express -4*y + 14*y**3 - y**4 - 3*y + 5*y as a + d*y**4 + v*y + t*y**2 + s*y**3 and give d. -1 Rearrange 413*y**3 - 8*y**2 + y**4 - 2 - 413*y**3 to o*y + m*y**2 + v*y**4 + w + q*y**3 and gi
{ "pile_set_name": "DM Mathematics" }
847)*-5 - sqrt(847)) + sqrt(847) + -2 + sqrt(847) - sqrt(847))**2 + 4). 176*sqrt(7) + 13560 Simplify -3 + (sqrt(52)/(sqrt(8)/sqrt(2)))**2 - (((sqrt(130)*2 - sqrt(130)) + sqrt(130))/sqrt(10) + (sqrt(91)*-2)/sqrt(7)). 10 Simplify ((sqrt(110) - -2*sqrt(110))/sqrt(10) + sqrt(33)/(sqrt(3)*-1 + sqrt(3) + sqrt(3)))*-6 + -5. -24*sqrt(11) - 5 Simplify (4*((2*sqrt(500) - sqrt(500))*6 - sqrt(500)))**2 + (0 + -2 + sqrt(500))**2 + (1 + sqrt(500))*1. -30*sqrt(5) + 200505 Simplify (1 + (-2*sqrt(637) + -2 - sqrt(637) - sqrt(637)) + 6*(0 + sqrt(637)))**2*-4. -10196 + 112*sqrt(13) Simplify (4 + (sqrt(832)*-1)**2 + 2)*4. 3352 Simplify 4 + ((sqrt(3) + 0 + sqrt(3))**2 - sqrt(3)) + -4 - (-1 + 0 + (sqrt(3) - sqrt(9)/sqrt(3))**2). -sqrt(3) + 13 Simplify (sqrt(136) + (sqrt(136)*2 + sqrt(136))*3 + sqrt(136))/((sqrt(96)*1)/sqrt(12)) - (-1 + -1 + sqrt(153) + sqrt(153) + (sqrt(153) + 0)*-5)**2. -1381 - 25*sqrt(17) Simplify (sqrt(400) + (sqrt(400) - (sqrt(400)*1 - sqrt(400)) - sqrt(400))*1)/(sqrt(16)/(sqrt(2) + (sqrt(32) - sqrt(2)) + sqrt(2)))*-4. -100*sqrt(2) Simplify ((1 + (5*(sqrt(700) + -1) - sqrt(700)))**2 - ((sqrt(700) - (sqrt(700) - (-2*sqrt(700) + 0 - sqrt(700)))**2) + sqrt(700)*-2 + 4)) + 1. -310*sqrt(7) + 22413 Simplify 4 + (0 + (1*sqrt(243)*-6 + sqrt(243) + 6*(sqrt(243)*2 - sqrt(243)))*-2)**2. 976 Simplify 0 + -4 + (((sqrt(126) + sqrt(126)*1 + sqrt(126))/sqrt(6))/(sqrt(6)/sqrt(2)*-4))**2 + 1. 15/16 Simplify ((-1*sqrt(52)*-4*5)/((sqrt(180)/(1*sqrt(5)))/sqrt(9)))**2. 5200 Simplify -3*(((sqrt(196) + -1*sqrt(196) + sqrt(196))*4)/(((sqrt(98) - sqrt(98)*1) + sqrt(98))*-4))**2. -6 Simplify ((-5 + -2 + sqrt(272))**2 - (sqrt(272)*2 + ((sqrt(68)*1)**2 - sqrt(68))))*3*-1. -759 + 186*sqrt(17) Simplify (0 + (sqrt(343) - (sqrt(343) + sqrt(343)*-2)**2))*-2 + (sqrt(343) + 1 + -2 - (3*-2*sqrt(343) - sqrt(343))). 42*sqrt(7) + 685 Simplify ((sqrt(76) - (sqrt(76)*1 + sqrt(76) - sqrt(76) - sqrt(76)) - sqrt(76))*-1)/((sqrt(40)*-2)/sqrt(10)). 0 Simplify (sqrt(204)*1*-2)/(sqrt(24)/(sqrt(2)*3))*-2. 12*sqrt(17) Simplify -1*((sqrt(1872)*-2)**2 + 2 - 6*sqrt(26)/sqrt(2)*3)*6. -44940 + 108*sqrt(13) Simplify 1 + (-3*sqrt(125))**2 + 2 + (sqrt(125) - -3*-1*sqrt(125) - sqrt(125))**2. 2253 Simplify ((sqrt(275) - 1*sqrt(275)*4 - sqrt(275))/sqrt(5))/(3*sqrt(176)*-5). sqrt(5)/15 Simplify sqrt(275)*2 + 0 + (sqrt(11)*2)**2 - (sqrt(110) - 4*(sqrt(110) + sqrt(110)*2))/(sqrt(160)*-3). 109*sqrt(11)/12 + 44 Simplify (4*(0 + -4 + sqrt(1584)*2))**2. -3072*sqrt(11) + 101632 Simplify 4 + 2*(sqrt(9)/sqrt(3) + -4) + 1. -3 + 2*sqrt(3) Simplify (sqrt(24) - ((sqrt(240) - (sqrt(240) - -1*sqrt(240) - sqrt(240))) + sqrt(240))/sqrt(10))/(-6*(sqrt(8) + (sqrt(8) - sqrt(32)/sqrt(4))))*1. 0 Simplify -4*(0 + (-1 + (sqrt(5) + 0 + -5 + sqrt(800)/sqrt(10))**2)*-4). -800*sqrt(5) + 2384 Simplify 0 + ((sqrt(432))**2 + 1 + sqrt(147) - sqrt(12)/(2*sqrt(36))). 41*sqrt(3)/6 + 433 Simplify (-5*(sqrt(7) + (sqrt(112))**2) - (sqrt(7) - (sqrt(7)*1*-4)**2)) + (sqrt(7) - (-2*sqrt(1008))**2) + -5. -4485 - 5*sqrt(7) Simplify ((sqrt(325) + -1)*-5 - (-3*sqrt(637) + sqrt(637) + 0))**2. -110*sqrt(13) + 1598 Simplify -4*(sqrt(1053)*2)**2 + sqrt(1053) + sqrt(1053) + -4 + 1 + -2. -16853 + 18*sqrt(13) Simplify (sqrt(360)/sqrt(144))/sqrt(8) - (sqrt(20)*1 - sqrt(20)/(-2*sqrt(4) - sqrt(4)))**2. -245/9 + sqrt(5)/4 Simplify -5*(1 + -3*(-2 + 2*sqrt(192) + sqrt(192))*-2). -720*sqrt(3) + 55 Simplify 2 + ((sqrt(612)*-3 + sqrt(612) + 3)*-3)**2. -648*sqrt(17) + 22115 Simplify 3*(-3*(4 + sqrt(17) + 0) + sqrt(170)/(sqrt(30)/(sqrt(3)*-2))). -15*sqrt(17) - 36 Simplify (((sqrt(170) - (sqrt(170) - ((sqrt(170) + 1*sqrt(170) - sqrt(170)) + sqrt(170))*-1)) + sqrt(170) + sqrt(170))/(sqrt(40) + sqrt(120)/sqrt(3))*2)**2. 0 Simplify (-4*(4*sqrt(132)*-2)/(-1*sqrt(48)))**2. 2816 Simplify ((sqrt(320) - ((sqrt(320) - (sqrt(320) + 3 + sqrt(320))) + -3)) + -1 + 2*sqrt(320) + 1)**2. 384*sqrt(5) + 5156 Simplify 6*(5 + 1*sqrt(11)*4 + (sqrt(176) + -5 - sqrt(11)))**2*1. 3234 Simplify (4*-2*4*(sqrt(567) + 2 + sqrt(567) + sqrt(567) - sqrt(567))*-6 + 3)**2. 2674944*sqrt(7) + 83757321 Simplify (1*(sqrt(891)*-1 + -3 + -4) + 3)**2. 72*sqrt(11) + 907 Simplify (3 + -4*(sqrt(19) + -1)**2)*-6 + 1 + (-1 + sqrt(19))*6*1. -42*sqrt(19) + 457 Simplify ((sqrt(84) - (sqrt(84) - -5*(sqrt(84) + -3*sqrt(84))))/sqrt(6))/((sqrt(700) + (sqrt(700)*-3 - sqrt(700)))*-1 + sqrt(700) - sqrt(700)). sqrt(2)/3 Simplify (-6*2*sqrt(77))/(sqrt(567)*4 + sqrt(7)) + 2. -12*sqrt(11)/37 + 2 Simplify ((3 + sqrt(200))**2 + 2 - (sqrt(200) - (4*sqrt(200) + 3)))*-4. -856 - 360*sqrt(2) Simplify ((sqrt(572)*2*5 - sqrt(572))/sqrt(11))/(sqrt(4)*1*6*-5). -3*sqrt(13)/10 Simplify (-1 + ((sqrt(252) + sqrt(252) + -1*sqrt(252) + -1)*-6 - (sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)*2 + 3 + sqrt(252) + -1 + sqrt(252) + -1)))**2. -624*sqrt(7) + 42604 Simplify ((sqrt(28)/sqrt(4)*4 - -2*sqrt(7)*-2) + sqrt(700) + (sqrt(700) - (sqrt(700) + 1 - sqrt(700))) + 1 + 1)**2. 40*sqrt(7) + 2801 Simplify 4 + 3 + -5 + ((sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300) - -2*sqrt(1300))) - sqrt(1300))*6)**2. 46802 Simplify 3*(-5 + 5*(5*((sqrt(11) - sqrt(176)) + 1))**2). -2250*sqrt(11) + 37485 Simplify (sqrt(125)/sqrt(5)*-4 + sqrt(25))/((3*sqrt(30))/sqrt(6)). -sqrt(5) Simplify ((sqrt(7)*1)**2 + -4 - (sqrt(343)*-3)**2)*-1. 3084 Simplify (4*(sqrt(243) + 4*sqrt(243) + 4 + 5) + 2)**2. 13680*sqrt(3) + 98644 Simplify (1*(-2 + sqrt(180) + 4))**2*2. 48*sqrt(5) + 368 Simplify ((4*1*sqrt(1134) + sqrt(1134) + sqrt(1134))/(sqrt(700)*-1*1))**2. 1458/25 Simplify ((5*(3 + sqrt(891)) - sqrt(891))**2 - (sqrt(176)/(sqrt(8) + sqrt(32)))/sqrt(2))*6. 6478*sqrt(11) + 86886 Simplify (3 + 1 + sqrt(6300) + sqrt(6300))**2 - (-2 + sqrt(63) + -1 - (5 + 1*sqrt(63))). 480*sqrt(7) + 25224 Simplify (-2 + -1 + sqrt(245) + sqrt(245) + -3 + (sqrt(245) - (1 + sqrt(245) + -1)) + -5)**2. -308*sqrt(5) + 1101 Simplify (sqrt(612) + 4)*4 - (4 + sqrt(17) + -4 + -3). 19 + 23*sqrt(17) Simplify ((-2*sqrt(78)*-3 + (sqrt(78) - ((sqrt(78)*-2 - sqrt(78) - sqrt(78)) + sqrt(78)))*-1 + sqrt(78))/((sqrt(216) - sqrt(216)*-1) + sqrt(384)*-2))**2. 117/16 Simplify (3*(-2 + (sqrt(99) - (sqrt(99) + 1 - sqrt(99)))*-2*-6) + -4)**2. -9936*sqrt(11) + 130420 Simplify (sqrt(108) - (-1 + -3 + sqrt(108)))**2 + sqrt(480)/sqrt(250). 4*sqrt(3)/5 + 16 Simplify (-1*(1*(2 + sqrt(1452)) - -4*(sqrt(1452) - 1*sqrt(1452) - sqrt(1452))))**2. -264*sqrt(3) + 13072 Simplify 4*(-1*sqrt(275) + -4 - (5 + (sqrt(275) - (sqrt(275) + 1)))). -20*sqrt(11) - 32 Simplify ((-4*sqrt(320)*5)**2 - 3*(sqrt(320)*1 + sqrt(320) + sqrt(320)))*-3. -384000 + 216*sqrt(5) Simplify 5 + sqrt(432)*-3 - ((-1*sqrt(81))/sqrt(3) + -3). -33*sqrt(3) + 8 Simplify (sqrt(7920) + (sqrt(7920)*2 - sqrt(7920)))/(4*sqrt(10)/sqrt(2)). 6*sqrt(11) Simplify -5*sqrt(10)/sqrt(2) + (sqrt(5) + (sqrt(5) + sqrt(35)/sqrt(7)*-3 - sqrt(5)) - sqrt(5))**2 - -2*(sqrt(720) - ((sqrt(720)*1)**2 + -2)). -1391 + 19*sqrt(5) Simplify ((sqrt(171) - 6*sqrt(171)*1 - sqrt(171)) + (sqrt(171) - -4*-1*sqrt(171)))/(1*sqrt(441)*-1). 9*sqrt(19)/7 Simplify 0 + -4 + (0 + sqrt(833) + -1)*-1*4. -28*sqrt(17) Simplify 2*(sqrt(272) + 0)*3 + (sqrt(272) + 0)*1*3. 36*sqrt(17) Simplify 2*(-2*sqrt(3)*-2 - (1*sqrt(9))/sqrt(3)). 6*sqrt(3) Simplify (3 + (sqrt(1584) - sqrt(1584)*1) + -4*2*sqrt(1584) + sqrt(1584) + -2)**2. -168*sqrt(11) + 77617 Simplify ((sqrt(180)*1)/sqrt(6) + sqrt(3000)*2)/((sqrt(120)/sqrt(16))/sqrt(5)). 42*sqrt(5) Simplify (-2 + -4 + (-4*(sqrt(204) - (sqrt(204) + sqrt(204)*1)))/(sqrt(48)/sqrt(64)))**2. -192*sqrt(17) + 4388 Simplify ((sqrt(336)/((sqrt(108)/sqrt(3))/sqrt(3)))**2 + (sqrt(1372) + 1 + sqrt(1372))*-5)*-1. -23 + 140*sqrt(7) Simplify -2*(1*sqrt(891) + sqrt(44)/sqrt(4) + 5 - (5*2*sqrt(1100))**2). -20*sqrt(11) + 219990 Simplify ((sqrt(77) - (sqrt(77) - (sqrt(77) + (-1*sqrt(77)*2 - sqrt(77))))) + -4*(1*sqrt(77) + sqrt(77)))/(sqrt(56)/((sqrt(96)/sqrt(2))/sqrt(6))). -10*sqrt(11) Simplify sqrt(117) - (4 + sqrt(117)*-2) - (sqrt(325)*2*-3 + sqrt(325)). -4 + 34*sqrt(13) Simplify (sqrt(66) - (sqrt(66) + (sqrt(66) - sqrt(66)*-1*-5) - sqrt(66)))/(sqrt(6)*-4*-2). 5*sqrt(11)/8 Simplify -5*(5*(sqrt(1377) + 1 + sqrt(1377) + 3))**2*-2. 36000*sqrt(17) + 1381000 Simplify (-2 + (2*(sqrt(77) - (-2*sqrt(77) + sqrt(77))) - sqrt(77))/((-1*sqrt(84))/sqrt(12)))**2. 12*sqrt(11) + 103 Simplify (sqrt(88)/(sqrt(2)*-5)
{ "pile_set_name": "DM Mathematics" }
999*d**2 - 9848*d. 12*d + 9998 Find the third derivative of -35*a**5 + 115*a**4 + 34*a**3*v - 86*a**2*v + 2*a**2 + 4*a*v - 383*v wrt a. -2100*a**2 + 2760*a + 204*v What is the second derivative of 34*v**5*w + 20*v**3*w + v**2*w + 20989*v*w wrt v? 680*v**3*w + 120*v*w + 2*w Differentiate -222470*l**3 - 86364 with respect to l. -667410*l**2 What is the second derivative of 1398288*w**5 - 9*w - 8337? 27965760*w**3 What is the first derivative of -41766*y**4 - 350345? -167064*y**3 Differentiate 361*o*y**3 + 2*o*y - 13*o + 107926*y**3 wrt o. 361*y**3 + 2*y - 13 Find the second derivative of -12*d**5*v - 11145*d**3*v**3 - 6*d*v**3 + 278*d - 40 wrt d. -240*d**3*v - 66870*d*v**3 Find the third derivative of -22157*x**3 + 48548*x**2. -132942 What is the derivative of 61733*i*n - 2*n - 163290 wrt i? 61733*n What is the second derivative of -33818*k*m**2 - k*m - 2*k + 40*m + 5 wrt m? -67636*k What is the first derivative of 2613*m**4 - 41*m**2 - 503706 wrt m? 10452*m**3 - 82*m What is the third derivative of 593404*r**3 - 868706*r**2 wrt r? 3560424 What is the third derivative of 173724*x**5 - 56863*x**2 + 2*x? 10423440*x**2 What is the first derivative of 36*m**4 + 1172*m**3 - 2*m - 91124? 144*m**3 + 3516*m**2 - 2 What is the second derivative of 248320*k**2*m**2 + k*m**2 - 6*k - 87*m - 1 wrt k? 496640*m**2 What is the derivative of -83474*w**2 - 3*w + 295290? -166948*w - 3 Find the first derivative of -3756801*n*s - 1385*s + 266 wrt n. -3756801*s What is the second derivative of 2723493*i**3 + 1046802*i wrt i? 16340958*i What is the second derivative of -20099*g**4 + g**3 - 3*g**2 + 33069*g wrt g? -241188*g**2 + 6*g - 6 Find the third derivative of 568153*q**4 + 81437*q**2 wrt q. 13635672*q What is the second derivative of -3348*q*r**2 + 21*q*r + 6*q + 26*r**2 + 6*r wrt r? -6696*q + 52 Find the first derivative of 24953*h**2 + 8190. 49906*h What is the second derivative of 98902*r*w**2 - r*w - 6*r - w**3 + 2*w**2 - 9*w - 5215 wrt w? 197804*r - 6*w + 4 What is the third derivative of -17024*z**3 + 14*z**2 + 4? -102144 What is the derivative of 75*r**4 - 684*r + 182829? 300*r**3 - 684 What is the third derivative of -3795*b**4 - 34*b**3 + 172073*b**2 - 3*b wrt b? -91080*b - 204 What is the second derivative of -732*r**4 + 2*r**3 + 76*r**2 + 521562*r? -8784*r**2 + 12*r + 152 Differentiate -269852*y + 189649 wrt y. -269852 What is the third derivative of 9*b**4 + 16648*b**3 + 6*b**2 + 120*b + 27? 216*b + 99888 What is the first derivative of 199*f*q + 218864*f*w - 936*f - 2*q*w**2 + 2*q*w wrt w? 218864*f - 4*q*w + 2*q Find the third derivative of -196523*q**5 + 2*q**2 - 86091*q + 2 wrt q. -11791380*q**2 Differentiate -5183*d + 20004 wrt d. -5183 Differentiate -386128*a*s - 2715*s - 98 with respect to a. -386128*s Find the third derivative of 165*n**4 - 354*n**3 + 1092812*n**2 wrt n. 3960*n - 2124 Find the first derivative of -23*h*j**2 + 6279*h*j + 117*h + 3*j**2 + 8364 wrt j. -46*h*j + 6279*h + 6*j What is the first derivative of -67*c**2*d*o - 103*c**2 + 34*c*d*o - 8*d wrt o? -67*c**2*d + 34*c*d Find the second derivative of -74*d**3 - 162*d**2 - 3*d - 237251 wrt d. -444*d - 324 What is the derivative of 484*p**2*s - 136*p**2 - 245298*s wrt p? 968*p*s - 272*p Find the second derivative of -5*z**4 + 2278*z**2 - 33*z + 75. -60*z**2 + 4556 Find the second derivative of -142*j**4 + 1044*j**3 - 2240297*j wrt j. -1704*j**2 + 6264*j What is the second derivative of -1290*c**2 - 199*c + 8 wrt c? -2580 What is the derivative of 17*j**4 + 88*j**3 - 9*j**2 + 224216? 68*j**3 + 264*j**2 - 18*j What is the second derivative of -64718*b**2*w - 7*b*w + 2*b - 24*w + 1 wrt b? -129436*w Find the second derivative of 50449*k**4*v + 145*k*v + 161*k wrt k. 605388*k**2*v What is the second derivative of -488832*s**2 + 129*s + 620? -977664 Find the second derivative of 15*y**4 - 208*y**3 + 2*y - 19261. 180*y**2 - 1248*y What is the first derivative of -47207*c*j - 80645*c wrt j? -47207*c What is the second derivative of 13479*y**3 + 3*y**2 - 132083*y wrt y? 80874*y + 6 What is the third derivative of -265715*n**3 - 58*n**2 - 148*n + 3? -1594290 What is the second derivative of 35383*o**3 + 27543*o wrt o? 212298*o What is the second derivative of m**5 - 54257*m**2*z - 2*m*z - 59*m + 94*z - 15 wrt m? 20*m**3 - 108514*z What is the third derivative of -3054*i**6 - 34*i**3 + 40*i**2 + 2*i + 238 wrt i? -366480*i**3 - 204 What is the third derivative of 440*o**4*u + 5*o**4 - 46*o**3*u + 2*o**2*u - 6*o - 2*u - 1352 wrt o? 10560*o*u + 120*o - 276*u What is the second derivative of 5*p**3 - 4973*p**2 - p + 9804? 30*p - 9946 Differentiate l**2 + 2053095*l + 2104742. 2*l + 2053095 What is the second derivative of 335*f**2*n**2*x**2 - 3*f**2*n**2 + f**2*n*x - 22*f**2*x**2 + n**2*x - 631*n wrt n? 670*f**2*x**2 - 6*f**2 + 2*x What is the derivative of 2166*i**3*k - i**3 + 2*i**2 - i*k - 4*k - 3230 wrt i? 6498*i**2*k - 3*i**2 + 4*i - k Find the second derivative of 15*i**4 - i**3 + 507*i**2 + 30671*i. 180*i**2 - 6*i + 1014 What is the first derivative of g**2*q**2 - 2*g**2*q + 2*g**2 + 2887*g + 1864*q**2 - 2*q wrt q? 2*g**2*q - 2*g**2 + 3728*q - 2 What is the derivative of 2*m*o**2 - 2*m*o - m + o**2 - 25908*o + 73703 wrt o? 4*m*o - 2*m + 2*o - 25908 Find the third derivative of -4070990*n**6 + n**2 + 479626*n wrt n. -488518800*n**3 Find the second derivative of -323871*g**3*w**3 - 3*g**3*w + 40180*g**2*w wrt w. -1943226*g**3*w Find the second derivative of 935173*g**2 + 162*g - 3132 wrt g. 1870346 What is the third derivative of 440742*i**2*w**3*z**3 - i**2*w**2*z - 3*i*w**3*z**3 + i*w**3*z - i*w**2*z**2 + 9*i*z - 16*w**3 + 13*w**2 wrt z? 2644452*i**2*w**3 - 18*i*w**3 Find the second derivative of -z**4 + 41225*z**2 - 5668*z - 3 wrt z. -12*z**2 + 82450 Differentiate 7901*p**3*w + 3*p**3 - 400*p**2 - 19*p*w + 36*p + 4 wrt w. 7901*p**3 - 19*p Differentiate -298221*o**2 - 257660 wrt o. -596442*o What is the second derivative of -1208*k**5*u**3 + 13*k**5*u + 7657*k*u**3 wrt k? -24160*k**3*u**3 + 260*k**3*u What is the second derivative of -n**2*s**2 - 2*n**2*s*x - 4*n**2*s - 5*n*s**3*x - 124*n*x - 35*s**3 - s**2 wrt s? -2*n**2 - 30*n*s*x - 210*s - 2 Differentiate -229219*d + 27534 wrt d. -229219 What is the third derivative of -a**4*q - 16237*a**4 + 960*a**2 - a + 2*q wrt a? -24*a*q - 389688*a What is the third derivative of -79557*j**6 - 27133*j**2? -9546840*j**3 Find the third derivative of -4522*z**4 + 241*z**3 + 1097513*z**2. -108528*z + 1446 Find the third derivative of -6*o*q**6 + 47*o*q + 3*o - 3*q**5 - 4557*q**3 + 373*q**2 + 3*q wrt q. -720*o*q**3 - 180*q**2 - 27342 Differentiate -44338*r**2 + r - 64624 wrt r. -88676*r + 1 What is the second derivative of 84*l**3*n**3 + 2*l**3 + 382*l*n**3 - 59014*n wrt n? 504*l**3*n + 2292*l*n Find the second derivative of 12*a**5*t**3 - 22390*a**3*t**3 - 21*a*t**3 - 11*a + t**3 + 11*t**2 + 22*t wrt a. 240*a**3*t**3 - 134340*a*t**3 What is the second derivative of -10341*b*o**3*q**2 - b*o**3*q - 3*b*o**3 - 5*b*o*q**2 - 3*b*q**2 + 978*b + 2*o**2 - 6 wrt q? -20682*b*o**3 - 10*b*o - 6*b What is the third derivative of 207955*a**4 + a**3 + 1748819*a**2 wrt a? 4990920*a + 6 What is the third derivative of 9*p**5 - 1202*p**3 + 93450*p**2? 540*p**2 - 7212 What is the third derivative of -24457*f**4 - 2*f**3 - 18106*f**2 - 4*f wrt f? -586968*f - 12 What is the derivative of -4271923*d + 2341525 wrt d? -4271923 Find the first derivative of -382825*p**2 + 1017752 wrt p. -765650*p What is the first derivative of 426977*v + 491257 wrt v? 426977 What is the derivative of 1058806*t**3 - 1156097? 3176418*t**2 Find the third derivative of -12409*h**5 + 5*h**2 + 13*h + 5. -744540*h**2 Find the first derivative of 16751*s - 37899 wrt s. 16751 Find the third derivative of 2*j**3*k*p + j**3*k - 162*j**3*p + 354*j**3 + 2*j**2*p - 7*j**2 + 2780*j*k*p wrt j. 12*k*p + 6*k - 972*p + 2124 What is the second derivative of -640904*w**3 + 253045*w wrt w? -3845424*w What is the second derivative of 121593*w**2 + 147022*w wrt w? 243186 Find the second derivative of -39917*d**4*x**2 - 2*d**2*x**2 - 11*d*x**2 + 3084*d + 2*x**2 wrt d. -479004*d**2*x**2 - 4*x**2 Find the second derivative of -33861*h**2*z**4 + 21*h**2*z + 9*h**2 + 3*h*z**4 - 59*h*z wrt z. -406332*h**2*z**2 + 36*h*z*
{ "pile_set_name": "DM Mathematics" }
e 2*b(x) - 9*r(x). -8*x - 1 Let u(b) = -24*b**2 + 7*b + 9. Let a(s) = -23*s**2 + 6*s + 8. Give 7*a(w) - 6*u(w). -17*w**2 + 2 Let q(i) = -7*i**2 + 5*i. Suppose -10 = -4*m + 26. Let z be m/6*22/3. Suppose z = 5*t + 1. Let b(j) = -3*j**2 + 2*j. Calculate t*q(a) - 5*b(a). a**2 Let l = -1 + 6. Let p(j) = -j + 4. Let a be ((-12)/(-4))/((-2)/2). Let n(m) = -2*m + 7. Give a*n(k) + l*p(k). k - 1 Suppose -3 + 12 = 3*m. Let g(a) = -a**3 - 5*a**2 + 14*a - 6. Let s be g(-7). Let z(x) = -x**3 + 2*x - 2. Let u(d) = d - 1. What is m*z(w) + s*u(w)? -3*w**3 Suppose 7*h = 5*h + 2*f - 14, 4*f = 3*h + 21. Let c(x) = -5*x - 2. Let a(w) = 15*w + 7. Give h*c(n) - 2*a(n). 5*n Let s(w) = -13*w**2 + 4*w**2 + 21*w - 26*w. Let r(x) = 4*x**2 + 2*x. What is -5*r(v) - 2*s(v)? -2*v**2 Let t(d) = 45*d**3 - 18*d**2 + 18*d - 18. Let b(y) = y**3 - y**2 + y - 1. What is -54*b(h) + 3*t(h)? 81*h**3 Let q(l) = 7*l**2. Let p(t) = 2*t**2. Suppose -76 = 5*v - v. Let i = 41 + v. Determine i*p(g) - 6*q(g). 2*g**2 Let h(z) = z**2 + 1. Let o(c) = -4*c**2 - c - 3. Determine 3*h(a) + o(a). -a**2 - a Let z(t) = 5*t**3 + 0 + 3 + 8*t**2 + 8*t - 4. Let v(b) = -3*b**3 - 5*b**2 - 5*b + 1. Let a(m) = 8*v(m) + 5*z(m). Let l(p) = -p**3 - 4. What is -4*a(f) - 3*l(f)? -f**3 Let f(d) = -6*d**3 + 5*d**2 - 8*d + 8*d**3 - 6*d**3 + 3*d**2 + 8. Let u(w) = w**2 - w + 1. Calculate -f(a) + 8*u(a). 4*a**3 Let t(n) = n + 2. Let z be t(-7). Let q(o) = -2*o**2 - 5. Let p(l) = l**2 + 4. Give z*p(r) - 4*q(r). 3*r**2 Let t(n) = n**3 + 2*n**2 + 2. Suppose -a + 12 = -z + 6*z, 0 = 4*z - 8. Let c(r) = r**2 + 2*r**3 - 3*r**3 + 2*r**3. What is a*c(p) - t(p)? p**3 - 2 Let x(j) = -j - 15. Let a(n) = -2*n - 16. Calculate -2*a(k) + 3*x(k). k - 13 Let s(d) = 4*d + 1. Let r(h) = -9*h - 2. Let f be 14/(-119) - (-100)/(-17). Let k be 2/(-2) + 1 + f. Calculate k*r(q) - 14*s(q). -2*q - 2 Let v(c) = 5*c**2 - 7*c. Let z(d) be the second derivative of d**4/6 - d**3/2 + 30*d. Give 6*v(a) - 14*z(a). 2*a**2 Let u be 1 + -2 - (3 - 1). Suppose -5*w + 0 + 20 = 0. Let z(o) = 2 + 2 - 9*o + w*o. Let g(k) = -k + 1. What is u*g(v) + z(v)? -2*v + 1 Let q(i) = -13*i**2 + 3*i. Let h(s) = -13*s**2 + 4*s. Calculate 3*h(o) - 4*q(o). 13*o**2 Let x(t) = 7*t + 4. Let b(l) = 3*l + 2. Let r(i) = i**3 - 4*i**2 - 3*i - 5. Let p be (-10)/4*(-1 - 1). Let w be r(p). Determine w*b(j) - 2*x(j). j + 2 Let n be 2*14*1/4. Let i(t) = -9*t**2 + 9*t - 5. Let f(y) = 5*y**2 - 5*y + 3. Let z = 33 + -29. Calculate n*f(v) + z*i(v). -v**2 + v + 1 Let j(f) = -207*f**3 - 12*f**2 - 12*f. Let l(c) = 83*c**3 + 5*c**2 + 5*c. What is -5*j(h) - 12*l(h)? 39*h**3 Let r(a) = 2*a**2 + 1. Suppose -2*y = -p - 5*y - 9, 0 = 5*p - 3*y + 9. Let n(f) = -4*f**2 - 2. What is p*n(x) - 5*r(x)? 2*x**2 + 1 Let l(z) = z**3 + 6. Let x(d) = -2*d**3 - 5. Calculate 5*l(a) + 6*x(a). -7*a**3 Let z(l) = 5*l - 5. Let j(v) = -14*v + 14. Let p(b) = 7*b**2 - 2*b + 1. Let w be p(1). Determine w*j(g) + 17*z(g). g - 1 Let r(a) = -14*a**2 - 14*a + 21. Let u(y) = 9*y**2 + 9*y - 14. What is 5*r(q) + 8*u(q)? 2*q**2 + 2*q - 7 Let y(g) = 28*g**3 - 6*g. Let r(c) = 867*c**3 - 187*c. Calculate -6*r(z) + 187*y(z). 34*z**3 Let n(y) = 14*y**3 - 5*y**2 - 3*y. Let k(z) = 5*z**3 - 2*z**2 - z. What is -17*k(t) + 6*n(t)? -t**3 + 4*t**2 - t Suppose 3*f + 4 = -5. Let c(m) = m**2 - 4. Let o(z) = 6*z**2 - 20. Determine f*o(k) + 16*c(k). -2*k**2 - 4 Let z(o) = 13*o**2 - 4*o + 4. Let b(d) = 377*d**2 - 117*d + 117. Give 4*b(a) - 117*z(a). -13*a**2 Let v(p) = -3*p + 4. Let l(q) = -q + 1. Let i = -80 + 74. Suppose 4*k + 10 = -2*y - 18, -4*y = 4*k + 48. Let f = y - i. Determine f*l(o) + v(o). o Let v(w) = 1. Let d be ((-11)/(-11) - (18 - 2)) + 0. Let r(q) = -q**2 - 5. Let t = -8 - -5. Give d*v(h) + t*r(h). 3*h**2 Let p(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 + 2. Let d(l) = 3*l + 5*l**2 + 0*l**2 + l + l + l**3. Give -d(a) - 3*p(a). 2*a**3 - 2*a**2 - 2*a Let y(t) = 6*t**2 + 11*t + 30. Let m(l) = 2*l**2 + 4*l + 10. What is 8*m(g) - 3*y(g)? -2*g**2 - g - 10 Let w(a) = 3*a**3 - 2*a + 4. Let n = -3 + -5. Let s(v) be the second derivative of -v**5/4 + v**3/2 - 3*v**2 - 25*v. What is n*w(b) - 5*s(b)? b**3 + b - 2 Let j(v) = 7*v**2 - 7*v - 5. Let q(l) = -20*l**2 + 20*l + 14. Suppose -2*g + 15 = g. Let f = 23 + -9. Give f*j(t) + g*q(t). -2*t**2 + 2*t Let r be 7/21*-2*(-18)/4. Let t(q) = -6*q**2 + 2*q + 3. Let b(v) = v**2 - 1. What is r*b(x) + t(x)? -3*x**2 + 2*x Let f = -25 - -24. Let m(i) = i**3 - i + 1. Let y(s) = -s**3 + 2*s**2 + 2*s - 2. What is f*y(n) - 2*m(n)? -n**3 - 2*n**2 Let b(s) = 2*s**2 - 12*s - 8. Let a be b(6). Let h(g) = -6*g**3 - 2*g**2 - 8*g + 5. Let c(r) = 2*r**3 + r**2 + 3*r - 2. Give a*c(u) - 3*h(u). 2*u**3 - 2*u**2 + 1 Let v(a) = -11*a**2 + 22*a - 4. Let h(u) = 17*u**2 - 34*u + 6. Let f(d) = 5*h(d) + 8*v(d). Let r(j) = 5*j**2 - 11*j + 4. What is 7*f(y) + 4*r(y)? -y**2 - 2*y + 2 Let d(t) = -4*t**2 + 3. Let x(k) = 0*k**2 + 2*k**2 - 7*k**2 + 4. Suppose 3*z = -15 + 3. What is z*d(n) + 3*x(n)? n**2 Let n(u) = 7*u + 6. Let c(q) be the third derivative of q**2 + 0*q - 1/24*q**4 - 1/6*q**3 + 0. Let b = -3 - -2. Calculate b*n(z) - 5*c(z). -2*z - 1 Let s(i) = -i + 3. Let q be s(6). Let n(d) = -d - 1. Let v(f) = -2*f**2 - 3*f - 3. Calculate q*n(x) + v(x). -2*x**2 Let p(g) = -10*g**3 - 5*g**2 - 9*g - 5. Let a(n) = -5*n**3 - 3*n**2 - 5*n - 3. Give 5*a(r) - 3*p(r). 5*r**3 + 2*r Let q(v) = 3*v**2 + 6*v. Let k(r) = 7*r**2 + 12*r + 1. Calculate 2*k(z) - 5*q(z). -z**2 - 6*z + 2 Let k(f) = -f. Let v(m) be the first derivative of 2 + 0*m + 2*m + m**2 - 1 + 1. Determine 3*k(j) + v(j). -j + 2 Let l(h) = -5*h - 6. Let y(w) = 4*w + 7. What is -5*l(a) - 4*y(a)? 9*a + 2 Let o(y) = -6*y**3 - y**2 - 7*y + 3. Let a(l) = 7*l**3 + l**2 + 8*l - 4. Give 4*a(s) + 5*o(s). -2*s**3 - s**2 - 3*s - 1 Let l(t) = 2*t**3 - 2. Let n be 10*(44/8 - 5). Let p(s) = -1 + 0*s**3 + 0 + 2*s**3. Determine n*p(u) - 4*l(u). 2*u**3 + 3 Let y(r) = 2*r**3 - 2*r**2 + 9*r + 7. Let w(h) be the second derivative of -4*h + 1/20*h**5 + 2*h**2 + 5/6*h**3 - 1/12*h**4 + 0. Give 7*w(p) - 4*y(p). -p**3 + p**2 - p Let d(f) = 4*f**2 - 5. Let p(w) = -3*w**2 - w + 4. Give -5*d(k) - 6*p(k). -2*k**2 + 6*k + 1 Let l = 0 + 1. Let d(t) = 1 - t + 2*t - 2*t. Let q(x) = 3*x. Let z(a) = 1. Let f(m) = q(m) - 6*z(m). What is l*f(k) + 5*d(k)? -2*k - 1 Let z(u) = 2*u - 3. Let q(f) = f - 5. Let p be q(0). Let j(o) = 2*o - 4. Determine p*z(w) + 4*j(w). -2*w - 1 Suppose 4*b - 13 = -1. Let u(l) = 4*l + 2. Suppose 3*c - 2*t - 8 = 0, -3*c - 6*t + 22 = -t. Let s = 5 - c. Let z(n) = -n - 1. What is b*z(k) + s*u(k)? k - 1 Suppose 4*k = 2*k + 3*s - 13, 3*s - 9 = 0. Let b(h) = 4*h**2 - 2. Let f(n) = 5*n**2 - 3. Calculate k*f(d) + 3*b(d). 2*d**2 Let u(z) = 5*z**3 + 29*z**2 + 4. Let t(b) = -b**3 - 1. What is -4*t(p) - u(p)? -p**3 - 29*p**2 Let k(w) = -14*w + 5. Let o(g) = -5*g - 3. Let c be o(-2). Let p be (-1)/((-2)/(-2)) - c. Let r(b) = -5*b + 2. What is p*r(d) + 3*k(d)? -2*d - 1 Let i be (-4)/(-22) - 13/11. Let x(l) = -3*l**2 + 2*l**2 + 3*l + 2*l**2 - 3 - 3*l**2. Let m(t) = t**2 - t + 1. Determine i*x(a) - 3*m(a). -a**2 Let t(n) = 2*n**3 + 3*n + 1. Let q(m) = -8*m**3 - 13*m - 4. Let z be (1 - -2)*3/(-1). Determine z*t(j) - 2*q(j). -2*j**3 - j - 1 Let b(j) = -j**2 + 2. Suppose -3*f + 2*f + 3 = 0. Suppose -4*n + 4*q + 16 = 0, 2 = -4*n - f*q + 18. Let h(u) = -2*u**2 + 3. Give n*h(x) - 6*b(x). -2*x**2 Let q(b) = -4*b**2 + 5*b + 5. Let w(m) = -11*m**2 + 14*m + 15. Determine -8*q(f) + 3*w(f). -f**2 + 2*f + 5 Suppose -5*x + 26 = u - x, 0 = x - 5. Let g(o) = u + o - 2*o + 15*o. Let i(f) = -5*f - 2. Let v = 8 - 5. What is v*g(j) + 8*i(j)? 2*j + 2 Suppose o + 3*o - 12 = 0. Let j(p) = p**2 - 3*p. Let b = 1 + -10. Let c(n) = 3*n - 4. Let m(v) = -7*v + 9. Let k(s) = b*c(s) - 4*m(s). Determine o*k(l) + j(l). l**2 Let r(c) = 2*c**2 + c + 4. Suppose -g = -6*g + 5. Let a(l) = -1 + 2 - 2. Calculate g*r(q) + 4*a(q). 2*q**2 + q Let x(n) = 9*n**3 - 6*n**2 - 6*n - 6. Let t be (-8)/(-48) + (-10)/(-12). Let c(f) = -f**3 + f**2 + f + 1. Determine t*x(s) + 6*c(s). 3*s**3 Let m(b) = -b**2 - b. Let o(c) = -2*c**2 - 5*c + 1. Let n(u) = -u**2 - 8*u - 3. Let l = -17 - -9. Let s be n(l). Determine s*m(v) + o(v). v**2 - 2*v + 1 Let y(s) = 2*s**2 + s + 2. Let z(t) = 6*t**2 + 2*t + 6. Determine 11*y(j) - 4*z(j). -2*j**2 + 3*j - 2 Let g(r)
{ "pile_set_name": "DM Mathematics" }
? -42 Calculate 22 + (9 - (-64 + 118)). -23 What is -11 + 21 + -26 - 32? -48 12 - (8 - (23 - 29)) - (37 + 6) -45 What is 24 + 23 + (8 + -19 - (40 + 4))? -8 (-5 - 11) + -32 + 33 + 5 -10 What is (-34 + 56 - 10) + -15? -3 84 + (12 - (-5 - -25)) + -27 49 Calculate (-22 + 20 + -88 - -40) + (0 - -2) + 12. -36 Evaluate 29 - (1 + -7 + 4) - (45 - 50). 36 Evaluate (-3 - (-6 + 5)) + -5 + -2 + -25. -34 What is (-37 - (78 + -274)) + -82? 77 Calculate (7 + -1 + -66 + 58 - (1 - 42)) + 9. 48 What is -4 + (2 - 15) + 167 + 35 + -103? 82 What is (-83 - -157 - -9) + -85? -2 Evaluate -11211 + 11166 - (11 + 1). -57 (-50 - 28 - -47) + 42 11 What is the value of 9 - (-6 - (-7 + 0)) - (-49 - -3)? 54 What is the value of (-83 - -53 - 4) + 82? 48 Evaluate 62 + -99 + (-61 - -120). 22 0 + 23 + 1 + -43316 + 43333 41 (44 + -44 - -11) + 11 22 Evaluate 2 - ((5 - 0) + -3) - (1910 + -1859). -51 Evaluate 41 - (-17 - -38) - (30 - -5). -15 What is 79 + 0 + 3 + (5 - 10) + -12? 65 (-71 - -20) + 98 - 53 -6 Evaluate 45 + 37 + 37 + -84. 35 What is the value of -20 + (-11 + 5 - -3) + 43 + -30? -10 Evaluate -43 + 93 + 26 + -43 + 9. 42 81 + -29 - 19 - (2 - (4 - 2 - -6)) 39 Calculate -3238 - -3268 - (1 + 77). -48 What is the value of (202 + -195 - -5) + 0 + -1 + -18? -7 Calculate -7 - (11 - 12) - (-37 + -3) - -7. 41 Evaluate -44 + (41 + -64 - -76). 9 Evaluate 0 + -12 - (2 + 34 + (22 - 44)). -26 Calculate (-152 - -48) + 19 + 0 + -2 + 3. -84 What is the value of 15 + -13 + 4 + 18 + 23 - (-13 - 1)? 61 -25 + (-1 - -28 - 27) - -12 -13 Evaluate -7 + (0 - 6) - (23 - (-4 + 30)). -10 Calculate 2 + -5 + 20 + 3 + 9 + 4. 33 What is the value of (47 - 33) + -15 - 12? -13 Calculate 269 + -271 + -3 + 3 + 5 + 3. 6 -17 + (8 - -30) + (11 - 45) + 136 123 Calculate 14 + (4 + 27 + -42 - -41). 44 Calculate (-5 - -60) + -9 + -16. 30 Evaluate (3 - (3 + 2 + -1)) + (-26 - 64) + 98. 7 Evaluate -25 + (5 + -3 + 72 - 25). 24 46 + (24 + -86 - -47) 31 What is the value of 28 - (33 + -13) - (-2 + (-1 - -1) + 5)? 5 (-1 - 6) + 15 + (-23 - -6) + -3 + 41 29 What is (7 - 14) + 4 + -37 + (-16 - 3)? -59 -15 + (-10 - 17) - -15 -27 Calculate 1 - (-22 - (15 + (-2 - 5) - 1)). 30 Calculate 1351 + -1371 - (-30 - 2). 12 What is the value of -681 + 708 + (2 - 64)? -35 What is -5 + (19 - (-2 + 2 + 4 + -3))? 13 Evaluate 6 + (3 + -3 + -12 - (-127 + 122)). -1 What is 104 + -78 + 14 + -20? 20 Calculate -7 + -2 + (-10 + 21 - (6 + -4)) - 72. -72 -4 + (-18 + 12 - (-15 + 6)) + -56 -57 What is the value of 5 + (-2 + 12 - (16 + (-13 - 0) - -8))? 4 Calculate -17 + 1 - (131 + -175). 28 Evaluate 21 + 3 + 18 + (-19 - -35). 58 What is (118 - 145) + 4 + -4? -27 Evaluate (1020 - 1084) + (-4 - -2 - -13). -53 What is -1 - -7 - (-5 + -2 - (700 - 709))? 4 Evaluate 3 + 69 + (-494 - -467). 45 What is the value of -58 - -29 - -18 - ((9 - 4) + -19)? 3 What is the value of 35 + (82 - 25) + 5 + 21? 118 Evaluate 20 + (-24 + 73 - 40). 29 Evaluate -3385 - -3441 - (0 - -50). 6 What is the value of -78 - (-8 - ((-10 - -1 - -10) + 7))? -62 Calculate (0 - (-16 - -1)) + 312 + -513 + 215. 29 Calculate 15 - (9 + (14 - 1 - 24) + 25). -8 What is 2 + -14 + (6 - 6 - 5) + 18? 1 (-4 - (15 + -44 + 22)) + (2 - (48 + -2)) -41 What is 16 + 8 + (-31 + 38 - 32)? -1 Calculate -120 + 110 - (-3 + 5 + 5) - (1 + -2). -16 Calculate 11 - (5 + (-3 - (-6 + 8))) - 52. -41 What is the value of 39 - (-14 + 14 + -38 + -60)? 137 Calculate -31 - (46 + -74) - (33 - 10). -26 Calculate -72 - (-147 + 92 + -55). 38 Calculate -2 + (-150 - -1) - (-5116 - -5072). -107 Calculate -7 - (-2 + (-24 - (-51 - -24))). -8 What is (2 - (18 - 1)) + 27 + (42 - -4)? 58 Evaluate -210 - (146 - 346) - (1 + -36). 25 What is -21 + 32 + 25 + -14 + 1? 23 8 + -8 + 60 + (20 - 8 - 16 - -13) 69 What is the value of -31 - (-29 + (12 - (22 + -35)))? -27 -31 - (23 - -24) - -39 -39 (76 + -9 - 10) + 5 + -4 - 11 47 Calculate -41 + (-53 - -132) - 109. -71 (-2 - -3) + -2 + 22 + -21 + 1 + -8 -7 -70 + (74 - 85 - (-16 + 3)) + (3 - -3) -62 Calculate -38 + -57 - -58 - (-6 + 6 - -13). -50 What is the value of 6655 - 6660 - (-2 + 0 + (2 - -45))? -50 What is the value of -6 + -9 + 25 + 5 + 27? 42 Calculate 0 + (-4 - 0) + 0 + 15 + -267 + 267. 11 Evaluate -90 + -46 + (-39 - -147). -28 Evaluate 93 + -8 + (19 - 27) - (-18 + -2). 97 Evaluate 101 - (-94 - -39 - -59). 97 What is (-2 + 3 - 13) + (208 - 201) + -2? -7 What is the value of 0 - (4 + -2 + -1 - (-25 + -12 + 5))? -33 Calculate 0 + -53 + (-10 - (-32 + 6)) + (3 - 16). -50 (1 - 38) + (20 - -10) + -8 -15 What is -8 + -91 + -6 + 38 + -10 + -25? -102 What is the value of (277 - 286) + -82 + 0 + (0 - -11)? -80 Calculate 2667 + -2642 + (0 - 61). -36 What is the value of 0 + 13 - (-16 + (1 + 32 - 37))? 33 What is -4 + 33 + -11 + (37 - 52)? 3 Evaluate 36 + -1 + -19 + -3 + -4 + -2 + 13. 20 What is -433 + 118 + 161 - ((0 - (2 + -2)) + -3)? -151 Evaluate 2 + -1 + -2 + (16 - 13) + -16. -14 Evaluate 418 + -411 + -19 + 0 - -18. 6 What is -37 - (-103 - -34) - (3 + 4 + 3)? 22 What is the value of 35 + (-20 - (-10 + -11)) - (1 + -1)? 36 (122 - (-38 - -75)) + -200 -115 39 - (-32 + -35 + 32 - -4) 70 Calculate -12 - (-3 - ((2 - -3) + 8 + 0)). 4 -2 + -45 + 61 - (0 + 65) - -8 -43 -27 + 5 - 0 - (-33 + 60 + -26) -23 Calculate -12 + 3 + -12 + 35 + 21 + -102. -67 What is -92 - ((-7 - -6 - (-3 - -1)) + (89 - 99))? -83 What is the value of -7 - (-5 + 3 - 10 - 4 - 5)? 14 Evaluate -38 + 50 - (-4 - (1 + -8 + 14)). 23 Calculate (-2 - (-3 + 6 - -30) - -8) + -9. -36 What is the value of (1 - (-10 - (1 + -20))) + (-4 - 2 - 14)? -28 Calculate 53 + (40 - 80) - 24 - -64. 53 Calculate (-32 - -11) + (5 - (0 - 18)). 2 Calculate (97 - 209 - -102) + 2 + -20. -28 What is 1888 + -1763 - (1 + 44)? 80 What is -117 + 104 + (5 - (4 - 2)) + 3? -7 What is -22 - (91 + -106 - (5 + -1))? -3 What is the value of (35 - -2 - 0) + -653 + 651 + -2? 33 Calculate (62 + -14 - -32) + -25 + 24. 79 What is the value of 6 - ((-61 - -95) + -60)? 32 What is the value of 17 + (-20 + 4 + 35 + -14 - 67)? -45 What is the value of -19 + -2 - (29 - 231 - -107)? 74 (114 - 1) + 24 + (-46 - 7) + 11 95 9 + (-48 - (-23 - (3 + -15 + 2))) -26 What is 20 + -51 + 14 - (20 - -3)? -40 Evaluate 2432 + -2486 - (-1 - 38). -15 What is 42 + (66 - 57) + -42? 9 Evaluate 103 + -1 + 24 + -6 + -34 + 0. 86 (-30 - -36) + 9 + 0 + 4 + -4 15 -8 - (27 + -13 - ((-7 - -15) + -3)) -17 What is 2 + -40 - -118 - 45? 35 Evaluate (1 + -1 - 54) + 63 + (17 - 94). -68 What is the value of -1 - 3 - (315 - 340)? 21 Evaluate -54 + 70 - 55 - (2 - -28). -69 What is the value of -149 + 135 - 239 - -125? -128 Evaluate -186 - (122 + -8 + -215). -85 3 + -55 - (30 + -24 + 23 + -12) -69 What is the value of (-14 + 6 + 5 - -12) + -3 - (3 - 42)? 45 56 - (-3 - (-7 + (-9 - -16) + -11)) 48 What is 56 + -113 + 101 - 99? -55 What is the value of 14 + 43 + -14 + (3 - 17) + 21? 50 Evaluate 19 + (-7 - 4 - -2 - 5). 5 What is the value of 1 + -11 - (40 + (-33 - 23) + 7)? -1 Evaluate -113 - (115 + -80 - 118). -30 What is the value of -75 + -104 + 275 + (-1 - 0)? 95 (-90 - (-44 - 3)) + 69 26 What is the value of -35 - (-79 - -43) - -1? 2 Calculate (-100 - (0 - (5 - -2))) + -14. -107 Calculate 3 + 1 + 111 + -242 + 237 - (-11 + 1). 120 Evaluate (-25 - -45) + (-19 - -7 - -14). 22 What is -8 - (-12 - -12) - -11 - (-2 + 0 + 16)? -11 What is the value of 13 + -18 + 182 + -88? 89 (-17 - -26) + -8 + (22 - (-71 - -10)) 84 Evaluate 18 + 11 + -5 + 18 - (-14 + 19). 37 (-6 - 2) + (0 - -8) + 9 9 What is the value of (47 - -31) + -125 + 2 + 25? -20 What is the value of -156 + 117 + -34 - -21? -52 What is the value of (196 - (415 - 194)) + (1 + 137 - 3)? 110 What is the value of 4 - ((1 - (-36 - -7)) + (28 - 14 - 5))? -35 What is the value of 49 + 3 + -47 - (27 - 39)? 17 Calculate (-571 - -314) + 259 + -1 + 77 + (-1 - -2). 79 Evaluate -125 + 107 + 0 + 30 + 2. 14 What is the value of -66 - (-70 - -83 - (-6 - -16))? -69 What is (-9 - (-2 - 13)) + 29 - (-3 + 9)? 29 What is -366 + 373 + -9 + 1 + (-58 - (6 - 4))? -61 What is the value of -2 + (-7 - 6 - -23 - (1 + -16))? 23 What is -37 + (-137 - -183) + 22? 31 Calculate -39 + (17 - (6 + 11 + -10 + 4)). -33 Calculate (-20 - 0) + -23290 + 23219. -91 Evaluate -4 + -3 + (4 - (3 + -7) - (-4 + 9)). -4 Calculate 4 + -75 + 61 + -95. -105 Calculate -8 + -84 + -41 - -93. -40 6 - (-9 - (-8 - -3) - (-72 - (2 +
{ "pile_set_name": "DM Mathematics" }
t q(z) = z**2 - 2*z - 1. Let w be 2/(-4)*(6 - 4). Let v = w + 4. Give q(v). 2 Let u(k) = k**2 - 4. Suppose 0 = 3*p - 32 + 23. Give u(p). 5 Suppose -j = -2*j + 3. Let v(z) = z**2 - 1 - z + 3*z**2 - 6*z**j - 3*z**2. Calculate v(-1). 7 Let s(l) = l**2 - l + 4. Let t be s(0). Let n = -2 + 5. Let u(k) = -k + t + n - 2. Determine u(5). 0 Let s(w) = w**3 + 7*w**2 - w - 4. Let x be s(-7). Let o be 1*(x - (-2 - 0)). Let y(m) = -6 - m - m + m**2 - m. Calculate y(o). 4 Let s(j) = j**2 - 6*j - 4. Let u(i) = i**3 - 8*i**2 + 9*i - 7. Let c be u(7). Give s(c). 3 Let n(q) = -q**3 + 3*q**2 + q - 1. Let m be (-2)/(-8) - 492/(-16). Suppose -4*y = 5*i - m, -y + 9 - 20 = -5*i. Determine n(i). 2 Let a be ((-28)/5)/(2/(-5)). Suppose 0 = 4*c - 2 - a. Let f(y) = y**3 - 5*y**2 + 5*y - 1. What is f(c)? 3 Let m(u) = 11*u**2 - 3*u + 1. Let t(x) = 16*x**2 - 5*x + 2. Let g(v) = 7*m(v) - 5*t(v). What is g(3)? -18 Suppose 18 = -3*s + 6*s. Let w(g) = g**3 - 5*g**2 - 6*g + 1. What is w(s)? 1 Let k be 6/(-15) - (-17)/5. Let g(b) = -8 - k*b + 19 - 10. Give g(-2). 7 Let l(c) be the first derivative of c**2/2 + 3. Let u(g) = -g**2 + 2*g - 1. Let j be u(2). Give l(j). -1 Let g = -10 - -9. Let w(z) = z**3 + 2*z**2 - z - 1. Give w(g). 1 Let n(w) = -9*w + 1. Let h be ((-1)/(-2))/((-4)/(-40)). Suppose f - 6*f = h. Give n(f). 10 Let y(f) = -f**2 - 5*f - 6. Let o be y(-3). Let n(q) = -q**2 + q. Calculate n(o). 0 Let n(o) be the first derivative of o**6/360 + o**5/120 - o**4/8 + o**3/3 + 2. Let b(z) be the third derivative of n(z). Calculate b(0). -3 Let h(z) = 2*z**2 - z + 1. Suppose s = -2*s + 120. Let q be 14/(-4)*s/(-70). Calculate h(q). 7 Let p(m) = -m**3 - m - 1. Let o(a) = -5*a**3 - 4*a**2 - 13*a - 5. Let s(q) = o(q) - 6*p(q). Let k = 23 - 18. Determine s(k). -9 Let h(k) = 3*k - 1. Suppose 2*c + 0 = -2. Let r = c + 0. Give h(r). -4 Let r be -2 - 0 - 5/(-1). Suppose 4*m + 5*c = 2*m, -c = r*m. Let l(o) be the third derivative of o**5/60 + o**4/24 - 7*o**3/6 - o**2. Give l(m). -7 Let a be (-12)/15*5/(-2). Suppose -6*t = -a*t. Let f(v) be the second derivative of -v**4/12 - 3*v**2 - 2*v. Calculate f(t). -6 Let v be ((-60)/16)/(1/4). Let z be v/1*(-2)/6. Let g(y) = y + 9. Let k(r) = -8. Let l(i) = 2*g(i) + 3*k(i). Calculate l(z). 4 Let a(h) = -2*h + 2 - 1 - 4*h - 4. Give a(-2). 9 Let z(w) = w. Suppose 0 = -2*k + 5*n - 26, 4*k - 5*n + n + 28 = 0. Let u be 17/(-6) - k/(-18). Let m(a) = a**2 - 4. Let o be m(u). What is z(o)? 5 Let y(x) = -2*x - 1 + 0*x**2 + x**2 + x**3 + 3*x + 0*x**2. Let i(m) = -m**3 - m**2 + 2*m. Let w be i(-2). Calculate y(w). -1 Let l(y) = 6*y + 0*y + 5 - y. What is l(-4)? -15 Suppose j + 0 = 4. Let m(x) be the second derivative of -x**4/12 + x**3/2 + x**2 + 4*x. Calculate m(j). -2 Let o(m) be the first derivative of -5*m - 3 + 0*m**2 + 1/3*m**3. Calculate o(0). -5 Let a be -1*(1 - 0)*3. Let m(h) = -5*h**3 + 2*h**2 - 7*h - 3. Let b(i) = -6*i**3 + 2*i**2 - 8*i - 3. Let f(y) = -6*b(y) + 7*m(y). Determine f(a). -9 Let b(f) = -7*f**2 - 5*f + 18. Let w(t) = -6*t**2 - 4*t + 17. Let r(z) = -5*b(z) + 6*w(z). Suppose 0 = 2*y - 3*g - 15, 0 = -4*y + 2*g + 6 + 4. Give r(y). 12 Let a(g) be the first derivative of g**4/4 + g**2/2 + 17*g - 68. Determine a(0). 17 Let q = -22 + 17. Let h(g) = -g**2 - 4*g + 6. Calculate h(q). 1 Let n(t) = 15*t**2 + 2*t - 1. Suppose -15*c - 3 = -18*c. Give n(c). 16 Suppose -5*m + 3*q = 7*q - 51, 2*q - 8 = 0. Let u(c) = c**3 - 6*c**2 - 7*c - 6. Determine u(m). -6 Suppose -h + 2*z + 14 = 0, -h + 22 = 4*h + 2*z. Let p(r) = 4*r**2 - 6*r + 2. Let o(y) = -5*y**2 + 6*y - 3. Let g(x) = h*p(x) + 5*o(x). What is g(-4)? 5 Let f(n) be the first derivative of n**4/6 - 2*n**3/3 + 3*n**2/2 - n - 3. Let d(l) be the first derivative of f(l). Determine d(2). 3 Let t(h) be the first derivative of h**4/4 + 2*h**3 + h**2/2 + 12. Let s(d) = -2*d**2 - 2*d - 2. Let v be s(-2). What is t(v)? -6 Let v(t) = t + 7. Let k(n) be the second derivative of -n**4/12 - n**3 - 5*n**2 - 6*n. Let p be k(-5). Calculate v(p). 2 Let v(h) = 4*h + 3. Suppose -3*f + 3 = 4*b, -10*b = -14*b - 4*f. What is v(b)? 15 Let v(c) be the first derivative of -c**2/2 + 33. Determine v(-2). 2 Let c(q) be the third derivative of q**4/24 - 5*q**3/6 + 29*q**2. Calculate c(10). 5 Let j(z) = -2*z**2 + z - 1. Suppose 5 + 10 = -5*r. Let l be (-1)/(-4 - r)*1. Calculate j(l). -2 Suppose -1 = -g - 3. Let r(v) = 1. Let i(s) = -s**2 + 5*s + 5. Let q(d) = g*r(d) + i(d). Determine q(6). -3 Let l(b) be the first derivative of -b**4/4 + 2*b**3/3 - b**2/2 + 1. Let d be 0 - (-10 - (-3 + 3)). Let p = -8 + d. Give l(p). -2 Let m(u) = -3 - 7 - u + 2. Determine m(-5). -3 Let y = 127 + -125. Let o(i) be the first derivative of i**4/4 - i**3/3 - i**2 + 2. What is o(y)? 0 Let s(w) = 7 - 4 + 3*w**2 - 4*w**2. Let n be s(-3). Let r(d) be the second derivative of d**4/12 + d**3 - 2*d**2 + 9*d. Determine r(n). -4 Let t(c) = 8 - 3 + c - 1 - 7. Calculate t(7). 4 Let h(o) be the third derivative of -o**8/6720 - o**7/2520 + o**6/240 + o**5/60 - o**4/24 + 2*o**2. Let f(d) be the second derivative of h(d). Determine f(-2). 0 Let z(g) be the second derivative of 3*g - 1/6*g**3 + g**2 + 0. Give z(0). 2 Suppose -l - b + 5 = -6, 2*b + 13 = 3*l. Let o = 2 - l. Let m(x) = 5*x - 6 + x - 7*x. Determine m(o). -1 Suppose -d - 2*j = j, -3*d - 2*j = -7. Let a be (-2 + 0/d)/1. Let g(t) = 6*t**2 - t + 4. Let b(i) = i**2 - i + 1. Let x(m) = -4*b(m) + g(m). What is x(a)? 2 Let s(b) = -b - 2. Let i(p) = -p**2 - 9*p - 3. Let t be i(-9). What is s(t)? 1 Let t(c) = 4 + 7*c + 1 + 1 + 5*c**2 - 4*c**2. What is t(-5)? -4 Let n = -64 + 62. Let d(v) = v**2 + 2*v + 2. Let y(x) be the second derivative of -x**3/6 - x**2/2 - x. Let m(s) = d(s) + 5*y(s). Determine m(n). 7 Let l(k) be the second derivative of -k**5/20 - 7*k**4/12 - k**3 + 2*k**2 - 10*k. Determine l(-6). 4 Let t(k) = -4*k**2 - 2*k + 1. Let r be t(1). Let y(w) = w**3 + 5*w**2 - 2*w - 3. Calculate y(r). 7 Let f(n) = 0 - 2 - 2*n**2 + 6*n**3 - 5*n**3 + 3*n - 2*n**3. Calculate f(2). -12 Let i(h) = -h**3 + 3*h**2 + 3*h + 5. Let c(b) be the second derivative of 0*b**2 + 0 - 2/3*b**3 - 2*b. Let x be c(-1). Determine i(x). 1 Suppose 9 = -4*h + h. Let y(f) be the second derivative of -f**4/12 - 5*f**3/6 - 2*f**2 - 17*f. Determine y(h). 2 Let i(s) be the second derivative of s**5/20 - s**3/6 - s**2 - 3*s. Determine i(2). 4 Let a(d) = 4*d**2 + 10*d - 7. Let s(x) = -3*x**2 - 9*x + 6. Let b(u) = 4*a(u) + 5*s(u). Suppose -3*c + 3 = -3*w, 3 = -w + 2*c - 2. Calculate b(w). -4 Let h(u) = 3*u**3 - u**2 + u - 1. Let f(t) = 2*t + 6. Let o be f(6). Suppose 0 = -3*j - 5*s + o, -s + 5 = -j + s. Determine h(j). 2 Let w(c) = 4 + 0*c - c**3 - 3*c**2 - c - 5 + 2*c. Give w(-2). -7 Let x(t) = t - 5. Let u = 0 + 5. Suppose -3*f + y - 51 = -19, -f = -u*y + 20. Let r = 14 + f. Determine x(r). -1 Let k(d) = 5*d**2 + 3. Let f(u) = -u**2. Let r(g) = 6*f(g) + k(g). Give r(-3). -6 Let o = -10 + 12. Let v(u) be the first derivative of -1/2*u**2 - o - 5*u. Give v(-4). -1 Let n(h) be the first derivative of h**2/2 - 7. Let f be 5*(-2 - -1) - 0. Determine n(f). -5 Let k(u) = 3*u - 2. Suppose 30*d - 34*d + 12 = 0. What is k(d)? 7 Let o(g) = 2*g - 12. Let v be o(8). Suppose -1 - 7 = v*i. Let c be 0 + -2 + 7 + i. Let m(n) = n**2 - 3*n + 3. Determine m(c). 3 Let t(c) = c + 2. Let s(j) = j - 7. Let n be s(6). What is t(n)? 1 Suppose 0 = v - 5, 4*v = 5*p + 3*v. Let f(h) = 6*h. Let l be f(p). Let z(x) = -3*x + 2*x - 3*x**2 + 4*x**2 + l. Determine z(0). 6 Let a be 2/(-2*1)*-5. Suppose 8 = -w + a*w. Let v(n) = -n**2 + 9*n + 3. Let p(i) = -4*i - 1. Let j(l) = 5*p(l) + 2*v(l). What is j(w)? -11 Let d(t) = 0*t - 2*t + t. Suppose -8*f + 2 = 10. Give d(f). 1 Let j(f) = 7*f**3. Let i(y) = -y**3 - y**2. Let k(o) = 6*i(o) + j(o). Give k(6). 0 Let t = -5 - -8. Let a(p) = 1 + t*p - p**3 + 0*p - p**2 - p - 2*p**2. Determine a(-3). -5 Let d = 12 + -18. Let l = d + 4. Let f be ((-10)/2)/(2/l). Let x(j) = -j**2 + 5*j + 6. What is x(f)? 6 Let j(b) = -2*b - 6. Suppose 3*q = 3, -a = -0*a + q - 4. Let o(v) = 3*v + 12. Let g(m) = a*o(m) + 5*j(m). Give g(3). 3 Let j(g) = g**3 - 4*g**2 - 5*g + 2. Let z = 42 - 37. What is j(z)? 2 Let a(m) = -m - 3. Let n be a(-6). Suppose 2*u + 8 = 0, 2*k - n*u = -0*k + 20. Let i(s) = -k - s**2 + 1 + 3. Determine i(-2). -4 Let x(l) = -12*l - 5.
{ "pile_set_name": "DM Mathematics" }
tive of -4*t**3 + 3 - 1 + t**g wrt t? -9*t**2 Let r(n) be the second derivative of 0*n**3 + 1/6*n**6 + 5*n + 0 + 0*n**5 + 0*n**4 + 1/2*n**2. Differentiate r(f) with respect to f. 20*f**3 Let m(n) be the third derivative of 5*n**8/336 - n**4/12 + n**2. What is the second derivative of m(g) wrt g? 100*g**3 Let y(n) be the second derivative of n**7/840 - n**5/60 - n**4/2 + 2*n. Let p(z) be the third derivative of y(z). Differentiate p(u) with respect to u. 6*u Let x(g) be the first derivative of -3*g**7/7 + g**6/2 - 2*g**3/3 - 3*g**2/2 + 5. Find the third derivative of x(u) wrt u. -360*u**3 + 180*u**2 Suppose -2*t - 1 = -3*t. Differentiate 4*q**4 + 4*q**4 - 3*q**4 - t with respect to q. 20*q**3 Let j(m) be the first derivative of -14*m**3/3 - 2*m + 6. Differentiate j(y) wrt y. -28*y Let j(a) be the third derivative of 11*a**9/504 + a**5/30 + a**3/2 + 29*a**2. Find the third derivative of j(i) wrt i. 1320*i**3 Let t(a) be the third derivative of 0*a**7 + 0 + 0*a**5 - 5/24*a**4 - a**2 + 0*a**6 + 0*a**3 - 1/168*a**8 + 0*a. Find the second derivative of t(n) wrt n. -40*n**3 Let o(p) = 9*p**6 + p**5 - p**4 + 21*p**2. Let m(z) = -z**6 - z**5 + z**4. Let w(d) = m(d) + o(d). What is the third derivative of w(t) wrt t? 960*t**3 Let p be (9/(-6))/((-3)/4). What is the second derivative of -n - 3*n**4 + p*n + 0*n wrt n? -36*n**2 Suppose -15 = 16*m - 19*m. Let s(r) be the second derivative of 0 + 3*r + 0*r**4 - 1/2*r**2 + 1/10*r**m + 0*r**3. Differentiate s(k) wrt k. 6*k**2 Let a be (9/6)/(6/(-16)). Let z(p) = -2*p - 1. Let o(j) = 3*j + 2. Let h(i) = a*z(i) - 3*o(i). What is the derivative of h(n) wrt n? -1 Let z = 11 + -9. What is the third derivative of 8*f**2 + 4*f**6 - 19*f**2 + 4*f**z wrt f? 480*f**3 Let b(t) = 3*t + 0*t - 3 - 4*t. Let v be b(-5). What is the third derivative of c**6 + 4*c**4 - 4*c**4 - v*c**2 wrt c? 120*c**3 Let r(a) be the first derivative of 0*a - 2/5*a**5 + 0*a**3 + 3 + 0*a**4 - 1/2*a**2. What is the second derivative of r(y) wrt y? -24*y**2 Let u(f) = 25*f**2 + f - 15. Let n(r) = -12*r**2 - r + 7. Let l(c) = -5*n(c) - 3*u(c). Find the second derivative of l(k) wrt k. -30 Let m(l) = 2*l**2 - 2*l. Let w(y) = y**2 + 3*y - 2*y + 3*y - 5*y. Let h(n) = -2*m(n) + 6*w(n). What is the second derivative of h(k) wrt k? 4 Suppose 136 = -3*n + 2*g, -5*n - 178 = -n - g. Let p be n/(-8) - (-2)/(-4). What is the second derivative of 5*j**5 + 3*j - 6*j**p - j**5 wrt j? -40*j**3 Let q(g) = -3*g**5 - 2*g**3 - 16*g**2 + 2. Let p(k) = 2*k**5 + 3*k**3 + 16*k**2 - 3. Let v(h) = 2*p(h) + 3*q(h). What is the third derivative of v(o) wrt o? -300*o**2 Let n(b) be the first derivative of 2*b**3/3 - 4*b - 2. Let a(g) = g - 1. Let o(z) = -4*a(z) + n(z). Find the second derivative of o(u) wrt u. 4 Let n be ((-24)/36)/((-5)/3). Let x(v) be the first derivative of -n*v**5 + 0*v**3 + 0*v**4 + 0*v + 1 - v**2. Find the second derivative of x(f) wrt f. -24*f**2 Let r(i) = 6*i + 4. Let j be r(4). Differentiate -j + 25 - 6*b**3 + b**3 with respect to b. -15*b**2 Let g(v) = 9*v**3 + 6*v**2 + 6*v + 4. Let l(b) = b**3 + b**2 + b + 1. Suppose -5 + 3 = 2*d. Let n(p) = d*g(p) + 6*l(p). Differentiate n(c) wrt c. -9*c**2 Differentiate -16 - 36*c**2 + 8*c**3 + 36*c**2 + 4*c**3 with respect to c. 36*c**2 Find the third derivative of 5*d**5 + 2*d**2 + 0*d**5 + 4*d**2 wrt d. 300*d**2 Let d(u) = 2*u - 2. Let h be d(7). Let b = -7 - -12. Find the third derivative of -4*m**b - h + 12 - 4*m**2 wrt m. -240*m**2 Let l(v) be the first derivative of -3*v**3 - 5*v - 2. What is the derivative of l(g) wrt g? -18*g Let a(r) = -10*r + 9. Let n(d) be the first derivative of 7*d**2/2 - 6*d + 4. Let h(y) = 5*a(y) + 7*n(y). Differentiate h(l) wrt l. -1 Let x(t) = 14*t**6 + 3*t**4 - 6*t**2 + 3*t. Let s(u) = 15*u**6 + 2*u**4 - 7*u**2 + 2*u. Let n(w) = 3*s(w) - 2*x(w). Find the third derivative of n(j) wrt j. 2040*j**3 Suppose 0*h - 2*f = 4*h - 20, 2*f = h + 5. What is the first derivative of 0 + 28*z**3 - 5 - 24*z**h wrt z? 12*z**2 Suppose -n - l - 2*l = -5, -n = -2*l. What is the third derivative of 5*k**3 + 5*k**2 + 5*k**5 - k**n - 5*k**3 wrt k? 300*k**2 Let y(g) be the first derivative of 0*g + 0*g**2 + 0*g**4 - 3/5*g**5 + 1 + g**3. Find the third derivative of y(n) wrt n. -72*n What is the first derivative of -6 - 7 + 7 - 2*t wrt t? -2 Let q(c) be the second derivative of c**7/840 + c**6/180 - c**4/12 + 3*c. Let m(l) be the third derivative of q(l). Find the second derivative of m(z) wrt z. 6 Suppose 0*w = -2*w + 4. Find the second derivative of -7*a - 2*a + 7*a**w + a + a wrt a. 14 Let i(s) = -1. Let y(r) = -12*r**2 + 11*r - 7. Let z(k) = -14*i(k) + 2*y(k). Find the second derivative of z(b) wrt b. -48 Suppose u - 5*u = -16. Suppose -u*k = -2*w + 120, 4*k = -5*w + 206 + 80. What is the third derivative of 4*h**3 + 58*h + 3*h**2 - w*h wrt h? 24 Differentiate 3 + 2*s + 14 - 4 - 16*s with respect to s. -14 Let y be 1 + -3 - 2/2. Let c be (6/(-8))/(y/12). Differentiate 1 - c + 0 + 2*d**2 wrt d. 4*d Suppose 0 = -6*p + 8*p - 4. Suppose 5*c + 5*x - 16 = 2*x, 2*x = -2*c + 8. What is the first derivative of -s**2 - 3*s**p + 5*s**2 + c - 3*s**2 wrt s? -4*s Let c(g) be the first derivative of g**8/48 - g**5/60 + g**2/2 - 7. Let z(i) be the second derivative of c(i). Find the third derivative of z(u) wrt u. 420*u**2 Let v = -1 - -5. Differentiate 0*k**4 + 3*k**v + 1 - k**2 + k**2 wrt k. 12*k**3 What is the third derivative of -d**2 - 3*d**6 - 7*d**6 - 13*d**2 + 2*d**6 wrt d? -960*d**3 Let s(t) be the first derivative of -t**7 + t**3 - 10. Find the third derivative of s(n) wrt n. -840*n**3 Let t = 13 - 10. Differentiate -5*m**3 + 9*m**4 - m**3 + 6*m**t - 1 with respect to m. 36*m**3 Let t(r) = -r**2 - 5*r + 3. Let i be t(-8). Let l be i/6*4/(-7). Find the second derivative of -6*w**2 + 2*w**2 - 3*w + 0*w**2 + l*w**2 wrt w. -4 Let l(y) = 2*y**3 - 2*y**2 + 5. Let t(p) = 2*p**3 - 2*p**2 + 4. Suppose 4 = 3*n + 19. Let d(x) = n*t(x) + 4*l(x). What is the third derivative of d(o) wrt o? -12 Let t(q) be the second derivative of -9*q**8/56 + 11*q**4/12 + 8*q. Find the third derivative of t(j) wrt j. -1080*j**3 Suppose 0 = 5*g - 10*g + 10. Find the third derivative of 2*f**6 + f**g - 2*f + 2*f - 2*f**2 wrt f. 240*f**3 Let a(i) = -4*i**4 - 2*i**3 - 1. Let l(u) = -2*u**3 - 2*u**4 + 5 + 13*u**3 + 23*u**4. Let g(n) = -11*a(n) - 2*l(n). What is the derivative of g(z) wrt z? 8*z**3 Let u(l) be the third derivative of 0 + 7*l**2 + 0*l + 0*l**3 + 1/30*l**5 + 1/8*l**4. What is the second derivative of u(p) wrt p? 4 Let x(w) be the third derivative of -16*w**7/105 - w**5/5 - 27*w**2. Find the third derivative of x(v) wrt v. -768*v Suppose 2*a = -5*n - 5, 5*a - n = 3*n + 37. Suppose a = -2*f + 7. Differentiate 0 + 4*v - f - v + v wrt v. 4 Let y(w) be the first derivative of -w**7/280 - w**6/360 + w**3/3 + 1. Let k(l) be the third derivative of y(l). Find the third derivative of k(u) wrt u. -18 Let l(h) be the first derivative of 0*h**4 + 0*h**3 + 0*h**5 - 1/2*h**2 - 3 + 0*h + 7/6*h**6. What is the second derivative of l(u) wrt u? 140*u**3 Find the second derivative of -q**2 + 0*q**2 - 15*q - 6*q**2 wrt q. -14 Let b(m) = -m**2 - 6*m + 5. Let h be b(-7). Let u be 2 + h/2*0. What is the second derivative of -u*a + 3*a**2 - 3*a + 2*a + a wrt a? 6 Let v(f) be the third derivative of f**9/504 + f**5/5 - 15*f**2. What is the third derivative of v(d) wrt d? 120*d**3 Let o(t) = t + 14. Let c be o(-9). Find the third derivative of 3*v**c + 2*v**5 + 0*v**5 - v**5 - 2*v**2 wrt v. 240*v**2 Let d(r) be the third derivative of 23*r**6/120 - 7*r**5/20 - r**2. Find the third derivative of d(o) wrt o. 138 Let g(m) be the second derivative of m**4/3 - 5*m**2 - 9*m. What is the derivative of g(i) wrt i? 8*i Let q(k) be the second derivative of -19*k**5/20 - 10*k**2 + k. Differentiate q(u) with respect to u. -57*u**2 Let p(w) = w. Let c(v) = -5 - 3*v + 3*v - v. Let b(y) = -c(y) - 2*p(y). Find the first derivative of b(a) wrt a. -1 Let a(o) = 2 + 0*o**2 - 14*o**3 - 9*o**2 - 2. Let l(n) = -29*n**3 - 18*n**2. Let d(j) = -13*a(j) + 6*l(j). What is the third derivative of d(z) wrt z? 48 What is the second derivative of -6*j**5 - 24*j**3 - 3*j - 4*j**5 + 24*j**3 wrt j? -200*j**3 Suppose 2*y = -4*r + 14, -3*r = y - 12 + 3. Suppose 5*q + 3*z = 2*z + 1
{ "pile_set_name": "DM Mathematics" }
{s: 4, v: 2, g: 2}? 1/7 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {s: 4, q: 2, b: 2, z: 1, l: 5}. 4/91 Four letters picked without replacement from {y: 2, k: 2, u: 4}. What is prob of picking 4 u? 1/70 Two letters picked without replacement from {s: 4, o: 1, d: 8, t: 2}. What is prob of picking 1 o and 1 s? 4/105 What is prob of picking 4 u when four letters picked without replacement from {u: 11, b: 1}? 2/3 What is prob of picking 1 f and 2 x when three letters picked without replacement from fxxfd? 1/5 Four letters picked without replacement from imrmrjlijrjllb. Give prob of picking 3 b and 1 j. 0 Two letters picked without replacement from {p: 2, e: 11}. Give prob of picking 2 e. 55/78 Three letters picked without replacement from {u: 5, n: 4, a: 1, l: 1, x: 1}. What is prob of picking 1 l, 1 a, and 1 x? 1/220 Two letters picked without replacement from oooffttt. What is prob of picking 2 t? 3/28 Calculate prob of picking 1 u, 1 v, and 1 h when three letters picked without replacement from {v: 8, h: 5, q: 2, x: 2, u: 1, c: 2}. 2/57 Two letters picked without replacement from {b: 7, l: 3, g: 2}. Give prob of picking 1 l and 1 g. 1/11 Two letters picked without replacement from rwkkllplwwlkk. What is prob of picking 1 r and 1 p? 1/78 Four letters picked without replacement from egzgldo. Give prob of picking 1 e, 1 l, 1 d, and 1 z. 1/35 What is prob of picking 3 g and 1 k when four letters picked without replacement from {v: 2, g: 6, m: 1, k: 1, o: 3, h: 2}? 4/273 Two letters picked without replacement from qybnnnynnnyw. Give prob of picking 2 y. 1/22 Three letters picked without replacement from ohhhhhhhz. What is prob of picking 3 h? 5/12 Two letters picked without replacement from {l: 2, z: 3, m: 6, g: 1, b: 2}. Give prob of picking 1 m and 1 g. 6/91 What is prob of picking 1 f and 2 i when three letters picked without replacement from {k: 5, f: 6, i: 4, w: 1}? 9/140 Calculate prob of picking 2 q and 1 a when three letters picked without replacement from qqtqqqttaaattaqetaa. 30/323 Two letters picked without replacement from {u: 5, t: 6, c: 5, i: 1}. What is prob of picking 1 u and 1 i? 5/136 What is prob of picking 2 z and 2 a when four letters picked without replacement from aazzazzz? 3/7 What is prob of picking 4 h when four letters picked without replacement from hhhhhhhhh? 1 What is prob of picking 2 q when two letters picked without replacement from {q: 2, c: 1, n: 1, o: 1, u: 1, b: 1}? 1/21 Four letters picked without replacement from dcicli. What is prob of picking 1 d, 1 c, 1 i, and 1 l? 4/15 Four letters picked without replacement from {f: 3, t: 8, e: 4, d: 2}. What is prob of picking 1 f and 3 e? 3/595 Calculate prob of picking 1 z and 3 w when four letters picked without replacement from zzzwwzzzzzzzwzzzzww. 35/969 Four letters picked without replacement from ruquqrly. What is prob of picking 1 q, 1 l, and 2 r? 1/35 Calculate prob of picking 2 o when two letters picked without replacement from oyoyyaaoayaooyoooooy. 9/38 Two letters picked without replacement from {s: 3, j: 2}. What is prob of picking 2 s? 3/10 Three letters picked without replacement from nccddcv. Give prob of picking 1 v, 1 c, and 1 n. 3/35 Two letters picked without replacement from flrhhha. What is prob of picking 1 l and 1 h? 1/7 Four letters picked without replacement from dduocrrcorcc. Give prob of picking 2 d, 1 c, and 1 u. 4/495 Four letters picked without replacement from {j: 2, g: 4, o: 5, b: 4}. Give prob of picking 1 o, 2 b, and 1 g. 8/91 Three letters picked without replacement from ffdfffmfmf. What is prob of picking 1 d and 2 f? 7/40 Three letters picked without replacement from bbbbnbbnnbbb. What is prob of picking 2 n and 1 b? 27/220 Three letters picked without replacement from {u: 11, t: 2}. What is prob of picking 1 u and 2 t? 1/26 What is prob of picking 4 i when four letters picked without replacement from tiiiitt? 1/35 Three letters picked without replacement from {u: 1, p: 2, a: 2, h: 2, y: 1, w: 1}. What is prob of picking 1 a, 1 p, and 1 h? 2/21 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from ssbskibksisb. 5/33 Calculate prob of picking 2 n when two letters picked without replacement from tttnttntnnnnn. 7/26 Three letters picked without replacement from cuyukkcrykkkrkckkcu. Give prob of picking 2 u and 1 r. 2/323 Four letters picked without replacement from nnnphhphvnnxdnhhp. Give prob of picking 1 p, 1 d, 1 x, and 1 n. 9/1190 Four letters picked without replacement from jppjjjpj. Give prob of picking 4 p. 0 Four letters picked without replacement from fffofffof. Give prob of picking 2 o and 2 f. 1/6 Three letters picked without replacement from {b: 10, x: 9}. What is prob of picking 2 x and 1 b? 120/323 What is prob of picking 1 g and 2 y when three letters picked without replacement from gyyg? 1/2 Two letters picked without replacement from xyxww. What is prob of picking 2 x? 1/10 Two letters picked without replacement from {b: 5, p: 2, r: 1, w: 6, s: 2, z: 1}. What is prob of picking 1 z and 1 w? 3/68 What is prob of picking 1 a and 2 g when three letters picked without replacement from {a: 2, n: 1, c: 3, g: 2, s: 1, k: 3}? 1/110 Four letters picked without replacement from {i: 1, a: 3, k: 4, w: 2, f: 3, j: 3}. What is prob of picking 1 w, 2 a, and 1 k? 6/455 Calculate prob of picking 1 p, 1 c, and 2 f when four letters picked without replacement from {p: 1, x: 1, f: 2, v: 3, t: 4, c: 1}. 1/495 Two letters picked without replacement from weee. Give prob of picking 1 w and 1 e. 1/2 Four letters picked without replacement from cnccccn. Give prob of picking 4 c. 1/7 Two letters picked without replacement from {g: 1, o: 2, q: 7, v: 4}. Give prob of picking 2 q. 3/13 Calculate prob of picking 2 a when two letters picked without replacement from ahahhhahhhhhhhh. 1/35 Two letters picked without replacement from kkokkkojoekoogekk. Give prob of picking 1 e and 1 g. 1/68 Three letters picked without replacement from uxuxuuuu. Give prob of picking 1 x and 2 u. 15/28 Calculate prob of picking 2 t when two letters picked without replacement from {g: 1, t: 17}. 8/9 Four letters picked without replacement from qkqqrqqkckn. What is prob of picking 1 c and 3 r? 0 What is prob of picking 2 k and 1 m when three letters picked without replacement from kfmuuuffkfmfffukf? 3/340 Two letters picked without replacement from {u: 3, n: 2, p: 3}. Give prob of picking 2 n. 1/28 Two letters picked without replacement from {q: 1, c: 1, x: 1, g: 2, h: 1, v: 2}. Give prob of picking 1 g and 1 c. 1/14 Four letters picked without replacement from {g: 3, h: 4, p: 2, v: 1, f: 2}. Give prob of picking 1 h, 2 g, and 1 v. 4/165 Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {m: 4, c: 7, d: 1, h: 4, t: 1}. 3/85 Two letters picked without replacement from jhjohjjhhjjmjjm. Give prob of picking 1 o and 1 m. 2/105 What is prob of picking 1 d, 1 w, and 1 n when three letters picked without replacement from dwnndnn? 8/35 Calculate prob of picking 2 n, 1 x, and 1 t when four letters picked without replacement from {n: 1, t: 1, s: 1, c: 1, e: 6, x: 1}. 0 Two letters picked without replacement from {v: 3, n: 4, z: 6}. What is prob of picking 2 n? 1/13 Two letters picked without replacement from jdjviaj. Give prob of picking 2 j. 1/7 Calculate prob of picking 2 t and 1 a when three letters picked without replacement from {o: 7, t: 12, a: 1}. 11/190 Three letters picked without replacement from {i: 1, l: 3, c: 1}. Give prob of picking 3 c. 0 Four letters picked without replacement from qqrrrqrrqqrrqrqr. What is prob of picking 1 q and 3 r? 21/65 Calculate prob of picking 1 q and 2 z when three letters picked without replacement from qgzqqiissstzgstiss. 1/272 What is prob of picking 3 q when three letters picked without replacement from {o: 4, q: 5, z: 6}? 2/91 Two letters picked without replacement from {k: 2, h: 3}. What is prob of picking 1 h and 1 k? 3/5 What is prob of picking 1 z and 1 f when two letters picked without replacement from bbdzlfb? 1/21 What is prob of picking 1 l and 1 p when two letters picked without replacement from {w: 1, z: 1, l: 2,
{ "pile_set_name": "DM Mathematics" }
late prob of picking 1 p, 1 m, and 1 q when three letters picked without replacement from ppaggpmpdmqqaa. 4/91 Three letters picked without replacement from {d: 4, u: 7}. Give prob of picking 1 d and 2 u. 28/55 Calculate prob of picking 2 n and 1 l when three letters picked without replacement from {l: 4, n: 5, x: 1, p: 3}. 20/143 Two letters picked without replacement from {v: 7, k: 2, j: 6}. Give prob of picking 2 k. 1/105 Three letters picked without replacement from sqsssssq. What is prob of picking 1 s and 2 q? 3/28 Calculate prob of picking 2 a and 1 u when three letters picked without replacement from neeaaaammue. 2/55 Four letters picked without replacement from {z: 14, q: 4}. Give prob of picking 4 z. 1001/3060 Two letters picked without replacement from zzuzzhhhzzzzh. Give prob of picking 1 u and 1 z. 4/39 Four letters picked without replacement from {n: 6, v: 2, k: 10}. Give prob of picking 1 n, 1 v, and 2 k. 3/17 What is prob of picking 1 l and 1 b when two letters picked without replacement from lsslfsllsssbbulfb? 15/136 Three letters picked without replacement from {r: 3, s: 1, q: 7, y: 3}. Give prob of picking 1 r, 1 y, and 1 q. 9/52 Three letters picked without replacement from krkrrr. Give prob of picking 1 r and 2 k. 1/5 What is prob of picking 3 v and 1 m when four letters picked without replacement from {v: 1, a: 3, m: 1}? 0 Four letters picked without replacement from jhwhwmmwowhohmmhtjmw. Give prob of picking 1 o, 1 h, and 2 j. 2/969 What is prob of picking 1 o, 2 k, and 1 f when four letters picked without replacement from skkooffsvyos? 2/165 Calculate prob of picking 2 e and 1 f when three letters picked without replacement from eeffffff. 3/28 Four letters picked without replacement from ttatwwwrawc. Give prob of picking 1 r, 2 a, and 1 t. 1/110 Four letters picked without replacement from {s: 2, k: 6, j: 9}. Give prob of picking 1 s, 2 k, and 1 j. 27/238 Two letters picked without replacement from {g: 1, h: 3, s: 1, i: 2}. What is prob of picking 1 g and 1 i? 2/21 Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {b: 11, c: 3, q: 4}. 11/51 Two letters picked without replacement from {s: 1, p: 2, n: 4, i: 1, g: 1, r: 6}. What is prob of picking 1 p and 1 i? 2/105 Four letters picked without replacement from {b: 4, t: 3, u: 2}. Give prob of picking 2 b and 2 u. 1/21 Two letters picked without replacement from {a: 3, h: 2, l: 5, o: 2}. Give prob of picking 2 l. 5/33 Three letters picked without replacement from jcbfcbjcbbccbccj. What is prob of picking 1 b and 2 j? 3/112 Calculate prob of picking 2 f, 1 q, and 1 w when four letters picked without replacement from oowqqijffqjj. 1/165 Calculate prob of picking 1 d and 1 o when two letters picked without replacement from doi. 1/3 Three letters picked without replacement from nnvggggdnngnnndz. Give prob of picking 2 g and 1 n. 1/8 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3}. 1 Three letters picked without replacement from zwwwwwwzzwwiwzwwzwww. What is prob of picking 3 z? 1/114 Three letters picked without replacement from ffvhmh. What is prob of picking 1 v and 2 h? 1/20 Two letters picked without replacement from gqh. Give prob of picking 1 h and 1 q. 1/3 Three letters picked without replacement from {g: 2, q: 8, e: 4, l: 1}. Give prob of picking 1 g and 2 q. 8/65 Four letters picked without replacement from ohhhoomoo. What is prob of picking 1 o and 3 m? 0 What is prob of picking 2 v, 1 z, and 1 q when four letters picked without replacement from vvvqqvqzqz? 8/35 Two letters picked without replacement from zvg. Give prob of picking 1 z and 1 g. 1/3 What is prob of picking 1 v, 1 i, and 2 a when four letters picked without replacement from aasamsvvvsvimvvm? 9/910 Four letters picked without replacement from iiiiccicici. What is prob of picking 2 c and 2 i? 21/55 Calculate prob of picking 2 e when two letters picked without replacement from eee. 1 Calculate prob of picking 2 t and 2 x when four letters picked without replacement from xttyxxxxttt. 10/33 Two letters picked without replacement from {x: 4, f: 6, g: 7}. Give prob of picking 1 g and 1 x. 7/34 Four letters picked without replacement from sssossos. Give prob of picking 2 s and 2 o. 3/14 What is prob of picking 1 e and 2 y when three letters picked without replacement from mabybbbebbbaybbmy? 3/680 Calculate prob of picking 1 j and 3 k when four letters picked without replacement from {j: 3, k: 9}. 28/55 What is prob of picking 1 k and 3 y when four letters picked without replacement from kkkuykyyyk? 2/21 Four letters picked without replacement from {h: 2, i: 3, u: 1, n: 2, l: 6}. Give prob of picking 2 l and 2 h. 15/1001 Three letters picked without replacement from {p: 2, t: 9, w: 8}. Give prob of picking 3 w. 56/969 Two letters picked without replacement from asarrrrdsaawwosaaada. Give prob of picking 1 d and 1 a. 8/95 Calculate prob of picking 1 d and 1 p when two letters picked without replacement from zpddzddpdp. 1/3 Two letters picked without replacement from mmmsqhoomm. What is prob of picking 1 o and 1 m? 2/9 Two letters picked without replacement from {l: 11, r: 2, h: 2}. Give prob of picking 2 r. 1/105 Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {k: 5, g: 11}. 55/182 What is prob of picking 1 q and 2 x when three letters picked without replacement from wqxphwpqqqqhhqhxqxqh? 2/95 Two letters picked without replacement from {d: 1, i: 7, p: 9, z: 1}. What is prob of picking 2 i? 7/51 What is prob of picking 2 u when two letters picked without replacement from {u: 3}? 1 Three letters picked without replacement from {a: 2, j: 1, k: 1, h: 4, z: 1}. Give prob of picking 2 a and 1 z. 1/84 Four letters picked without replacement from mmqqgqmqmmqmggqqqmq. What is prob of picking 4 g? 0 What is prob of picking 3 l when three letters picked without replacement from llllnllllllllllllnl? 40/57 What is prob of picking 1 k and 2 i when three letters picked without replacement from {i: 5, j: 7, g: 1, k: 1}? 5/182 Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {g: 1, q: 1, p: 3, m: 5, w: 1, j: 1}. 1/22 What is prob of picking 1 k and 1 f when two letters picked without replacement from kkkfukmkmmkif? 2/13 Calculate prob of picking 1 f and 2 n when three letters picked without replacement from fnfffnffnfffffff. 39/560 What is prob of picking 1 f and 2 n when three letters picked without replacement from {f: 4, w: 5, n: 6}? 12/91 Three letters picked without replacement from {j: 9}. Give prob of picking 3 j. 1 Four letters picked without replacement from {y: 1, v: 3, d: 3, q: 3}. What is prob of picking 1 d, 2 v, and 1 y? 3/70 Four letters picked without replacement from zkkzfwzffkfwffzufk. Give prob of picking 3 f and 1 w. 7/306 What is prob of picking 1 p and 1 q when two letters picked without replacement from {d: 1, y: 1, m: 1, p: 1, q: 1}? 1/10 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sskgkksksk. 4/45 Four letters picked without replacement from {v: 5}. Give prob of picking 4 v. 1 Two letters picked without replacement from ryro. Give prob of picking 1 y and 1 o. 1/6 Calculate prob of picking 2 s and 1 x when three letters picked without replacement from xvsasxx. 3/35 Two letters picked without replacement from wwwcucwcqcwuwccccw. What is prob of picking 2 w? 7/51 What is prob of picking 1 m and 3 a when four letters picked without replacement from {v: 2, a: 5, m: 3}? 1/7 Four letters picked without replacement from {q: 1, b: 7, t: 2}. What is prob of picking 4 b? 1/6 What is prob of picking 2 y when two letters picked without replacement from yyxxxyyxxx? 2/15 Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, k: 3, e: 1, n: 1, z: 8, c: 2}. 1/120 Two letters picked without replacement from wbwnclnnlwnb. What is prob of picking 1 c and 1 l? 1/33 Two letters picked without replacement from {c: 2, f: 1, d: 1, z: 2, q: 3, n: 3}. What is prob of picking 2 n? 1/22 Four letters picked without replacement from yvkykkvkaayyxyyxy. What is prob of picking 2 y and 2 k? 9/170 Calcul
{ "pile_set_name": "DM Mathematics" }
to t? (a) v (b) -11 (c) -1/10 a Let m = -2.1 + 2. Let w(v) = -2*v**2 - 4*v + 20. Let y be w(-4). Let r be (-1 + (-52)/(-36))*y/(-8). What is the closest to m in 4, r, 3? r Let k = -529 + 476. Let j(i) = -i**3 - 17*i**2 - 18*i - 29. Let z be j(-16). Which is the closest to 0.1? (a) k (b) 0.3 (c) 2/9 (d) z c Let x = -2000.6 + 2001. Let r = -0.4 + 0.45. Let i = r + -4.05. Which is the closest to 2/5? (a) x (b) -1 (c) i a Let j = 0.7 - 1.7. Let o(v) = -5*v**3 + 42*v**2 + 32*v - 46. Let r be o(9). Which is the nearest to j? (a) r (b) -0.3 (c) -1/2 a Let p = 0.976 - -0.024. Let w be (-2)/7 - 27/28. Suppose 0 = 5*q + 3*z + 23, -3*z + 11 = -5*q - 6. What is the closest to p in 4, q, w? w Suppose -4*a + 5*q + 24 = 0, 5*a + 55*q - 57*q = 13. Let p = 47 - 233/5. Suppose 0 = 3*j + 2 + 1. What is the closest to -2/7 in a, j, p? p Let i = 3586/13 + -276. Suppose 0 = -2*h - d + 12, h + 0*d - 9 = -2*d. Let n = -38703 + 38695. Which is the nearest to 0? (a) i (b) h (c) n a Let l = 15584 - 15584.011. What is the closest to -4/5 in l, -4, -1? -1 Let n = 4006.1 - 4006. Which is the closest to n? (a) -11/4 (b) -2/3 (c) 3 (d) 0 d Let k = -11452 - -11370. Which is the closest to 0? (a) k (b) 0 (c) 10 b Let t be 91/(-140) + (-1)/10. Let o = 27 + -53/2. Which is the closest to 2? (a) o (b) -2/5 (c) 0.2 (d) t a Let g = -1.5499 - 1.4501. Which is the nearest to 1/2? (a) 2/7 (b) -5 (c) 2/61 (d) g a Suppose -1615*u = -1571*u. Which is the nearest to -0.3? (a) 3 (b) 2.1 (c) u c Suppose 21 = 2*z + 5*r, -817*z = -820*z - 5*r + 24. Which is the closest to -2/11? (a) z (b) -19 (c) -0.4 (d) 4 c Let v = 92 + -155.4. Let f = -63.5 - v. What is the nearest to f in -0.4, 1, 3? -0.4 Let q = -1/54 - -41/27. Let d = -5.837 - -5.57. Let f = d - -0.367. Which is the nearest to f? (a) 2 (b) -3 (c) q c Let g = 457.81 + -461. Let d = g - 1.81. What is the nearest to 1/4 in d, 0.5, 5/2? 0.5 Let j = -774.21 - -774. What is the closest to -2 in -4/7, 14, j? -4/7 Let g = -512 - -335. Let j = 177.09 + g. Suppose -4*p = 2*t + 6 - 16, 0 = 4*p - 12. Which is the nearest to j? (a) -0.2 (b) t (c) 0.2 c Let m = 38.342 - -4.658. Which is the nearest to 0? (a) 3 (b) -0.2 (c) m b Let t = -248.891 - -249. Let q = -72.109 + t. Let x = -88 - q. What is the nearest to 3 in x, -4, -3/4? -3/4 Let v = 7614 - 7614.049. Which is the closest to -1? (a) v (b) 0.1 (c) -1/4 c Let k = -3.442 - -3.842. Let m = -13 + 10. What is the closest to -3 in m, 3, -2/17, k? m Let l = 51 + -56. Let r = 879 - 879.4. Which is the closest to 9? (a) r (b) -4 (c) l a Let o be (-3)/(-2)*4/18. Let h = -8244.1 - -8241.1. What is the nearest to 29 in h, 4/5, o? 4/5 Suppose f + 4*v - 33 + 12 = 0, 0 = -2*f - 4*v + 22. Let a = 845.8631 - -0.1369. Let i = 848 - a. What is the nearest to f in -3, i, 3? i Let s = 452 + -722. Let t = s - -269.9. Let z = -0.68 - -0.6. What is the nearest to -1/4 in 5, z, t? t Let x be (5*7/(-350))/1. What is the nearest to -1/3 in -16, x, 3? x Let x = 73 + -78. Let u(i) = -2*i**2 - 26*i - 4. Let m be u(-13). Suppose 28*l - 10 = 23*l. What is the nearest to l in -2/3, x, m? -2/3 Let s be (((-306)/(-21))/1)/(-2) + -1 + 8. What is the nearest to 18/7 in -1, 0.11, 1/10, s? 0.11 Suppose 0 = -2*h - 2*d + 3*d, 5*h + d = -7. Suppose -6 = 5*s + 3*f, 0 = -5*s + 3*f - 0*f - 24. Which is the closest to -1? (a) h (b) 3 (c) s a Let i(w) = 5*w - 1. Let f be i(1). Let y = -1.76527 + 1.66527. What is the nearest to y in f, 5, -0.08? -0.08 Let z = -12.194 + 11.994. Which is the nearest to 0? (a) -0.08 (b) z (c) -70 a Let n = -26.8 - -26.8. Let o = -3.4 + 0.4. Let w = o + -1. What is the closest to n in -1, 2/3, w? 2/3 Let f be (-5)/(70/6) + 3401/133 + -25. Let v = 3 - 0. Which is the closest to 2/5? (a) f (b) -0.08 (c) v (d) 0.3 d Let d be (-4)/(-64) + 918/2720. Which is the nearest to d? (a) -0.1 (b) -1 (c) 135/8 a Let i = -51.2 + 51.13. Let t = 242 - 245. Which is the closest to i? (a) t (b) 1 (c) -4/7 c Let i = 5330 - 5335. Which is the closest to 2/71? (a) i (b) 30/17 (c) 0.5 c Let s = 2388 + -2392. What is the nearest to 4 in -26, s, 1, -0.2? 1 Let p be (36 - 6831/189)*(1 + -3). Which is the closest to 2/21? (a) -0.3 (b) -2/7 (c) p (d) -13 c Let a = 12.051 + -11.951. What is the closest to a in 13, 0.5, -5/3, 3? 0.5 Let y = 67 + -337/5. Let k = -756 - -757. Which is the nearest to 1? (a) y (b) k (c) 0.2 b Let t be (1528/192 - 8)/(5/(-30)). Let m = 46 + -42. What is the closest to t in -3, m, 5? -3 Let l = 30.256 + -30.476. Which is the closest to 0? (a) 2/11 (b) -3 (c) l (d) 1/5 a Let f = 0.42635 + -0.32635. What is the nearest to f in 0.3, -5/4, -37? 0.3 Let x be ((48/20)/6)/((-4)/15). Which is the nearest to -1? (a) 1/4 (b) x (c) -35 (d) -5/2 b Let y(t) = -2*t - 6. Let j be y(-4). Let u be (4/j)/(2 + -3). Suppose -5*w = o - 0 - 25, 0 = -w + 3*o + 5. Which is the closest to -2/25? (a) w (b) 0.3 (c) u b Let j = 0.36 + -2.36. Let d = 277/344 - 40/43. Which is the closest to j? (a) -4 (b) 5/2 (c) d c Let t = -7/4 - -9/4. Let f(h) = -h**3 - 8*h**2 + 5*h - 20. Let y be f(-9). Let l be ((-27)/18)/(6/y). Which is the closest to t? (a) -0.5 (b) l (c) -1/8 c Let i be ((-14)/6)/((-896)/128). Let y = 8/3 + -10/3. What is the nearest to y in -4, i, 2/3, -0.2? -0.2 Let j = -0.8 - -1. Let n = 102.042 - 102. Let k = 0.142 - n. Which is the closest to -3? (a) k (b) 2/17 (c) j a Let u be 2/(-4) - (-3)/2. Let l be (7 + (-2 - 1))/(-2). Let v be 252/495 + l/(-22). Which is the nearest to -0.1? (a) 1/3 (b) v (c) u a Let u = 7611/4 + -1903. Let f be (-6)/(-24) + 22/8. What is the closest to -2 in f, u, -1? -1 Let m(g) = -2*g**3 - 24*g**2 - 22*g + 2. Let f be m(-11). Let n be f + 25/(-10) + (-3)/(-4). Which is the nearest to -3/4? (a) 4 (b) -1/2 (c) n (d) 0.2 b Let s be (4 - (-2)/50*-55)*5. Which is the closest to 0.3? (a) s (b) 0.3 (c) -2/13 b Let h be -4 + ((-12)/(-3) - 4/4). What is the nearest to 10 in -0.2, h, 0.5, -24? 0.5 Let j = -1 + -1. Let r = 44/1561 - 267/1561. What is the nearest to j in 0.5, 0.1, r, 2? r Let j be (2 + 3 - 3)/6. Let x = 34 - 71/2. Let l = -0.9 - 4.1. What is the closest to j in x, l, -0.02? -0.02 Let z = 0.604 + -0.139. Let k = z - 0. Let h = 0.035 + k. Which is the closest to -0.2? (a) 0.1 (b) h (c) 0.2 a Let d = 0.2 + -2.2. Let y = 153386 + -306767/2. Which is the closest to -1? (a) 0.1 (b) d (c) y b Let g = 3778 + -3777. Which is the nearest to 0? (a) -0.09 (b) 0.5 (c) g (d) -0.4 a Suppose 133*y + 36 = 142*y. Which is the nearest to -0.3? (a) -0.3 (b) 2/13 (c) -4 (d) y a Let d = -0.1 - 0. Let a = -26 - -33. Let q be a + (1*-1)/(10/20). What is the nearest to 0.1 in q, d, 1? d Let s(b) = b**2 + 12*b - 21. Let p be s(-14). Suppose -9 = -2*y + l, -5*l - 12 - 3 = 0. Suppose p*v - 6*v + y = 0. What is the closest to 1 in -1/6, -13, v? -1/6 Let j = -266664/5 + 52857. Let w = j - -477. What is the nearest to 0 in 0.7, 2, w? 0.7 Let k(h) = 15*h - 1286. Let w be k(87). Which is the closest to w? (a) -1/2 (b) -7/2 (c) 0.4 c Let b = -0.4 + 0.8. Let q = -1241 - -1218. What is the nearest to -1 in b, 1/3, q? 1/3 Let g be 6 + -2*236/32 + (19 - 11). Which is the closest to 1? (a) 12 (b) -2/15 (c) 0 (d) g c Let o(n) = -20*n + 74. Let y(p) = 4*p - 15. Let h(m) = 3*o(m) + 14*y(m). Let i be h(7). Let x = 18 + i. Which is the nearest to x? (a) -1 (b) -1/2 (c) -2/25 c Let g = 0.55 - -0.15. Let u = 0.4 - g. Let a = -23.123 - -0.123. What is the closest to 0.1 in u, 4, a? u Let r = -21.14 + 17.14. What is the closest to 97 in 0.1, r, -5? 0.1 Let d = 69.6 + -69.3. What is the closest to -1 in d, -1, 5, 10? -1 Let l = 0.0017 - 55.2017. Let d = 55 + l. Which is the closest to 15? (a) 2/3 (b) d (c) 4 c Let j = 1992 - 1991. Let r = 1.2 + -1.2. Let y = 0 - r. Which is the nearest to y? (a) j (b) 0 (c) -4/5 b Let k = -1051/13 - -81. Let p = -53 - -26. Let l = p + 25. Which is the closest to 1? (a) l (b) 2 (c) k c Let t be -1*3 + (-140)/(-7). Let u(i) = -2*i**2 + 34*i - 12. Let w be u(t). Let m be 24/w*(-1)/18*2. What is the closest to 0 in 0.6, m, -5? m Let z = -113 + 113.3. What is the closest to 5.7 in 5, -1/4, 0.4, z? 5 Let y = -63586/9 + 7065. Let q = -47/6 - -28/3. Which is the closest to 1?
{ "pile_set_name": "DM Mathematics" }
. Let t be l(-4). Let g = t - p. Round g to the nearest 100. 1100 Let b be 92799999/(-4) - 2*4/32. Round b to the nearest one million. -23000000 Let h be ((-6)/9 - -1)*-3. Let m be 3*(-6)/(-9) - h. Suppose -m*k + 2*k - 140000 = 0. Round k to the nearest one hundred thousand. -100000 Let n = -12 - -24. Let c = -401928 - -401939.99885. Let y = c - n. What is y rounded to four decimal places? -0.0012 Let j = 1.13141 + -1.13. Round j to four decimal places. 0.0014 Suppose 2*x - 16132210 = -n, 0 = 2*n - 5*x + 3*x - 32264402. Let z = n + -32932204. What is z rounded to the nearest 1000000? -17000000 Let z = -158 - -157.9999899. What is z rounded to 6 decimal places? -0.00001 Let s = 252.43 + -254. What is s rounded to 1 decimal place? -1.6 Let q = 33.074 - 33. Round q to 2 decimal places. 0.07 Let m = 8.981679 - 11189890.981679. Let r = -11189879.4000052 - m. Let t = 2.6 - r. What is t rounded to six dps? 0.000005 Let w = 5 + -13. Let h = -6 - w. Let f = h - 2.00006. Round f to five decimal places. -0.00006 Let c(y) = -17*y**2 + 7*y - 10. Let h be c(6). What is h rounded to the nearest one hundred? -600 Let y = 110533.8 + -110480.80084. Let j = -81 - -28. Let q = y + j. Round q to four decimal places. -0.0008 Suppose 5*l = 2*t - 3, -4*l = 4*t - 7 - 13. Let z be (-2 + 4)*-25*l. Let a be -3900*z/(-3)*10. Round a to the nearest one hundred thousand. -700000 Suppose i + 3*g - 137 = 0, -5*i + g + 702 = -g. Suppose 4*x = -x + i. Round x to the nearest ten. 30 Let i = -15 - -21. Suppose 2*f - 3*j = i*f - 40799988, 5*j = -3*f + 30599980. What is f rounded to the nearest one million? 10000000 Let g(i) = -952856*i + 6. Let o be g(-5). Let q = o - 3164286. What is q rounded to the nearest 1000000? 2000000 Let z = 9.8999833 - 9.9. Round z to six decimal places. -0.000017 Let z = 8 - 14. Let k = -5.873321011 + -0.126679289. Let l = z - k. What is l rounded to six decimal places? 0 Let o(g) = g**2 + g - 2. Let r be o(2). Suppose 4*n = -0*s + r*s - 68, -3*n = -3. What is s rounded to the nearest 10? 20 Let l = -3.7 + -0.3. Let a = 3.9999994 + l. Round a to seven dps. -0.0000006 Let n(z) = 6*z**2 + 2*z + 1. Let s = 2 - 4. Let f be n(s). Let k be ((-266)/f)/((-2)/60). Round k to the nearest one hundred. 400 Let q = 100.986 - -0.014. Let r = -96376 + 96274.931. Let s = q + r. What is s rounded to two dps? -0.07 Let b = -53 - -52.999969. What is b rounded to five decimal places? -0.00003 Let y = 5619454.3002 + -5618760. Let f = -693.3 + y. Let q = 1 - f. What is q rounded to 4 decimal places? -0.0002 Let k(y) = y**3 - 6*y**2 - y + 4. Let j be k(6). Let w = 5 + j. Suppose w*l = -2*l + 420000. What is l rounded to the nearest 10000? 80000 Suppose 3*c - 7075 = 23225. What is c rounded to the nearest 1000? 10000 Let l = -25056050594879 + 25056028075406.000058. Let a = l + 22519454. Let i = -19 - a. What is i rounded to 5 decimal places? -0.00006 Let k = -417748 - -413951.407. Let w = k + 3846.59418. Let n = -50 + w. What is n rounded to 4 dps? 0.0012 Let k = 202 + -201.99999662. Round k to seven dps. 0.0000034 Let p = 18 - 13.2. What is p rounded to 0 dps? 5 Let k = -0.0279 - -0.0052. Let i = -0.018 - k. What is i rounded to 3 decimal places? 0.005 Let y = -158 + 157.689. What is y rounded to 1 dp? -0.3 Let y = -0.7 + -0.2. Round y to the nearest integer. -1 Suppose 3*s - 4*s = 0. Let v be -1100000 + (2 - 2) + s. What is v rounded to the nearest one hundred thousand? -1100000 Let p = -0.24 + 0.24012. What is p rounded to 5 decimal places? 0.00012 Let m = 0.2456 - 0.0426. What is m rounded to 2 decimal places? 0.2 Let n = 6315 + -6311.9985. Let u = 7 - 4. Let r = u - n. What is r rounded to three dps? -0.002 Let a = -1.074 - 0.066. Round a to one decimal place. -1.1 Let o = -42.99976 + 43. Round o to 4 decimal places. 0.0002 Let l = 0.0195 - 0.019733. What is l rounded to five dps? -0.00023 Let t = -193013 + 192928.037. Let u = 270 - 185. Let n = t + u. What is n rounded to two decimal places? 0.04 Let n(c) = -27668*c**2 - c + 9. Let j be n(-3). Round j to the nearest one hundred thousand. -200000 Let u = 64 + -24. Let i = u - 39.34. What is i rounded to 1 dp? 0.7 Let w be 8/6*3 + -2. Suppose 0 = 3*t + w*t + 15. Let u be (-608)/12 + 1/t. Round u to the nearest ten. -50 Let d = 13012 + -5312. Round d to the nearest one thousand. 8000 Let i = -53.99936 - -54. What is i rounded to 4 decimal places? 0.0006 Let j be 4/6*(5 - 2). Suppose 0 = j*h + g + 8204, 5*g - 157 = h + 3923. Round h to the nearest one thousand. -4000 Let i = -0.57 - -0.57000119. Round i to 7 decimal places. 0.0000012 Let r be (-253 - -1)*80/(-32). What is r rounded to the nearest one hundred? 600 Suppose -2*g + 317200 + 888696 = 0. Let l = g - 902948. What is l rounded to the nearest one million? 0 Suppose -g = -22256 + 3956. What is g rounded to the nearest one thousand? 18000 Let c = -6.715 + 4.7873. Let i = c - -1.828. Let r = -0.1 - i. Round r to four dps. -0.0003 Let z = -113.00019 - -113. Round z to 5 decimal places. -0.00019 Let i = 1.11 + 0.01. Round i to one decimal place. 1.1 Let j = -5.6 + 5. Let p = j + -0.4. Let w = p - -0.983. Round w to 2 dps. -0.02 Let a(v) = 23*v**2 + 5*v - 6. Let p be a(5). Suppose 5*n - p = -2*s, -s = 1 - 3. What is n rounded to the nearest ten? 120 Let c = 20.7 + 62.3. Let a = c - 82.99999923. What is a rounded to 7 dps? 0.0000008 Let z be (1 + (-1 - -100))*3096/(-40). What is z rounded to the nearest one thousand? -8000 Let u = 577.409 - 366.29. Let h = -211 + u. What is h rounded to 2 dps? 0.12 Let g = -0.37 + -1.03. What is g rounded to zero dps? -1 Suppose -5*h - r + 3849998 = 0, 3*h + 5*r - 3323137 + 1013147 = 0. What is h rounded to the nearest 100000? 800000 Let k(u) = -u**2 + 4*u + 2. Let y be k(4). Let x(m) = m**2 - 2*m - 5. Let l be x(5). Let p be (-6)/l*(-10)/y. What is p rounded to the nearest 10? 0 Let o = -1418158 - -831802. Let a(d) = -1216357*d**3 - d**2 + d + 1. Let h be a(-1). Let t = h + o. Round t to the nearest 100000. 600000 Suppose 147 = 5*v - 3*d, -v + 4*d + 26 = -0. Let j be v/4*520/6. What is j rounded to the nearest 100? 700 Let g = -39.278466039575 - 1804476.891533610425. Let q = g + 1804512.17. Let u = -4 - q. What is u rounded to seven decimal places? -0.0000004 Let b = 478.000000207 + -478. Round b to 7 dps. 0.0000002 Let r = -32 + 32.95. Round r to one dp. 1 Let s = 97.23 + -0.23. Let c = s - 97.0000043. Round c to 6 dps. -0.000004 Let w = -28.0000058 - -28. Round w to six decimal places. -0.000006 Let q = -25.9951 - -26. Round q to three dps. 0.005 Let p = -16.74 - -20.7. What is p rounded to the nearest integer? 4 Let p(z) = -250*z**2. Suppose -4*r = -3*r - 2*j + 10, 0 = -2*r - 5*j + 16. Let x = r - -4. Let d be p(x). Round d to the nearest 10000. 0 Let y = 76 - 171. Let c = -94.99947 - y. What is c rounded to four decimal places? 0.0005 Let n = -0.24 + -0.06. Let d = n - -0.7. Let m = d - 0.3. Round m to the nearest integer. 0 Let o = 17 + -16.82. Let v = o - 0.27. Let r = -0.0907 - v. What is r rounded to four decimal places? -0.0007 Let v be 4066212/(-54) - (-2)/9. Round v to the nearest one thousand. -75000 Let n = -0.1 - -2. Let z = n - 1.89935. Round z to four dps. 0.0007 Let n(r) = -6*r**3 + 6*r**2 + 18*r - 4. Let o be n(-6). What is o rounded to the nearest 1000? 1000 Let i = -10.1 - -10.0999947. Round i to 6 dps. -0.000005 Let l = 1933 + 2641. Let r = 215 + -1441. Let j = l - r. Round j to the nearest one thousand. 6000 Let t = 3.9937979 - 11.9938015. Let k = t + 8. Round k to 6 decimal places. -0.000004 Let k = 7039 + -15111. Let u = k + 14072. What is u rounded to the nearest one thousand? 6000 Let n be ((-40)/24)/((-1)/3). Suppose -2*k = 3*c + 362000, c = -n*k + 5*c - 905000. Round k to the nearest 10000. -180000 Let m = 2.52 - 0.02. Let j = -1.6 + m. Let o = j + -0.893. Round o to three dps. 0.007 Suppose 5*h = 3735 + 8765. Round h to the nearest one thousand. 3000 Let v = 132 - 142.6. Let c = -10.60000114 - v. What is c rounded to seven decimal places? -0.0000011 Let j = -0.273 + 144.273. Let a = 75604022.4 + -75604166.4000114. Let d = j + a. What is d rounded to 6 dps? -0.000011 Let d = -13797 + 7925. Let j = -1872 - d. What is j rounded to the nearest 10000? 0 Let s = 35408 + -5408. What is s rounded to the nearest 10
{ "pile_set_name": "DM Mathematics" }
ulate -5*b(m) - 6*h(m). -2*m**3 + 2*m - 2 Let f(t) = -9*t. Let z(p) = 9*p. Give 6*f(w) + 5*z(w). -9*w Let i(q) = -2*q**2 - 3. Suppose 4 = -5*k + 19. Let f(o) = o**2 + 2. Determine k*f(x) + 2*i(x). -x**2 Let y = -9 + 8. Let n(z) = -z**3 + 6. Suppose 0 = 2*k + 4 - 12. Let q(v) = 1. Let l(m) = 5. Let s(x) = k*q(x) - l(x). What is y*n(u) - 6*s(u)? u**3 Let y(d) = 3*d**2 - 1. Let k(s) = s**2. What is 4*k(l) - y(l)? l**2 + 1 Let f(m) = 3*m - 2. Suppose -6 = -2*x - 0. Let d(i) = -2*i + 1. Calculate x*f(z) + 5*d(z). -z - 1 Let l(v) = -5*v + v**2 + 6 - 5*v**2 + 6*v**2. Let k(r) = -3*r - 5 + 4*r + 5*r - 2*r - r**2. Calculate 4*k(u) + 3*l(u). 2*u**2 + u - 2 Let t(z) = -3*z**2 - 2*z**2 + 3*z**2. Let f(s) = 3*s**2. What is 3*f(i) + 4*t(i)? i**2 Let d(a) = -2*a - 3. Let j(i) = 2*i + 14 - 18 - 4*i. Suppose 0 = -3*y - 5*v + 11, -6*y + 6 = -4*y + 2*v. Suppose 0 = -y*p + 4*p + 6. Give p*j(u) + 4*d(u). -2*u Let n(x) = -3*x - 6. Let i(m) = -4*m - 6. Determine -4*i(g) + 5*n(g). g - 6 Let h(n) = -n**3 - 7*n**2 - 7*n. Suppose -3*j - 25 = l + 3*l, 3*l = -12. Let p = 5 + j. Let x(m) = 2*m**2 + 2*m. Give p*h(b) + 7*x(b). -2*b**3 Let u(y) = y. Let v be (9/12)/(5/(-20)) + 4. Let p(j) = 5*j - 2. Determine v*p(q) - 6*u(q). -q - 2 Let f(r) = 5*r**2 + 4*r - 13. Let h(m) = 2*m**2 + m - 4. Give 2*f(j) - 7*h(j). -4*j**2 + j + 2 Let n(s) = 2*s**3 - 4*s**2 + 2*s. Let x(r) = -r**3 + 4*r**2 - r. Determine -3*n(t) - 4*x(t). -2*t**3 - 4*t**2 - 2*t Let t(m) = m + 1. Let a(j) = -14*j + 3. Give -a(x) + 2*t(x). 16*x - 1 Let z(g) = -g**3 - 6*g**2 + 4. Let d(y) = y**3 + 5*y**2 - 3. Let n = 4 + -2. Suppose 2*u - 20 = -n*u. Let c be (-20)/(16/(-4)) - -1. Calculate c*d(p) + u*z(p). p**3 + 2 Let m = 3 - 1. Let s(z) be the first derivative of -4*z**m + 8/3*z**3 + 2 + 0*z + 1/2*z**4. Let j(p) = -p**3 - 3*p**2 + 3*p. What is 8*j(u) + 3*s(u)? -2*u**3 Let g(u) = 10*u - 5. Let i(k) = -9*k + 4. What is -3*g(s) - 4*i(s)? 6*s - 1 Let d(f) = 7*f**2 + 9*f - 9. Let p(a) = 2*a**2 + 2*a - 2. Let y(z) = -9*z**3 + z + 1. Let r be y(-1). Give r*p(u) - 2*d(u). 4*u**2 Let b = 14 + -21. Let d(t) = 6*t**3 + 2*t**2 - 5. Let i(p) = -2*p**3 + 1. Let x(n) = 11*n**3 + n**2 - 6. Let y(c) = -4*i(c) - x(c). Give b*y(f) - 3*d(f). 3*f**3 + f**2 + 1 Let r(v) = -22*v**3 + 8*v**2. Let k(j) = 7*j**3 - 3*j**2. Give 17*k(f) + 6*r(f). -13*f**3 - 3*f**2 Suppose -s - 4*r = 4 + 13, 0 = -5*r - 25. Suppose -s*p - h - 18 = 0, 4*h = -2*p + 5*h - 17. Let a(u) = 3*u. Let x(v) = 0*v + 6*v + 4*v. What is p*a(i) + 2*x(i)? -i Let s(d) = 3*d + 7. Let z be -12*(-1)/(-2*1). Let l be 4*(-3)/z + -4. Let m(a) = a + 2. Calculate l*s(u) + 7*m(u). u Let n(o) be the first derivative of -2 - 3/2*o**4 + 4/3*o**3 + 0*o**2 - 2*o. Let c(q) = -q**3 + q**2. Determine -4*c(j) + n(j). -2*j**3 - 2 Let v(j) = -j**2 - 4*j + 2. Let m = -18 + 13. Let i(g) be the third derivative of g**5/20 + 3*g**4/8 - 5*g**3/6 + g**2. Give m*v(x) - 2*i(x). -x**2 + 2*x Let v(t) = -t. Let h(w) = -w**3 - w**2 - 1. Let i be h(-1). Let x be (2/(-1))/((-2)/(-4)). Let c be 2*(-1)/x*-10. Let y(p) = 6*p - 2. Calculate c*v(s) + i*y(s). -s + 2 Let k be (-1)/(-3) + 3302/39. Let j(s) = k*s**2 - 2*s - 78*s**2 + s**3 - 5*s. Let m(u) = u**3 + 5*u**2 - 5*u. Determine 5*j(h) - 7*m(h). -2*h**3 Let k = -80 + 84. Let b(y) = 5*y + 4. Let s(j) = 0 + 6*j + 5 + 0. What is k*s(p) - 5*b(p)? -p Let o be 12/20 + (-138)/5. Let w(z) = z**2 + 4. Let d(h) = 6*h**2 + 27. Calculate o*w(q) + 4*d(q). -3*q**2 Let t(d) = 19*d - 2. Let n(k) = -9*k + 1. What is -5*n(p) - 3*t(p)? -12*p + 1 Let j = -22 + 18. Let y(l) = 3*l**3 - 5*l + 3. Let x(d) = d**3 - d + 1. Let v(t) = 3*t**3 - 5*t + 3. Let q(s) = v(s) - x(s). What is j*q(u) + 3*y(u)? u**3 + u + 1 Suppose -2 = v + v. Let f(r) be the second derivative of -r**4/12 + 2*r. Suppose -h + 24 = 3*h. Let l(p) = -p**3 - 6*p**2. Determine h*f(u) + v*l(u). u**3 Let g(a) be the first derivative of -a**6/180 - a**4/6 - 4*a**3/3 + 3. Let l(f) be the third derivative of g(f). Let h(p) = -p**2 - 1. Determine -4*h(v) + l(v). 2*v**2 Let t(d) = 3*d - 3. Let z = -24 - -21. Let v(q) = q**3 + q - 1. What is z*v(i) + t(i)? -3*i**3 Let u be (2 - 12)/(4 + -6). Let z(t) = 3*t**2 + 5*t - 1. Let a(h) = -h**2 - h. Give u*a(l) + z(l). -2*l**2 - 1 Let p(k) = 2 - 14*k + 2*k + 9. Let m(u) = u - 1. Let x = -70 + 48. What is x*m(t) - 2*p(t)? 2*t Let r(g) be the third derivative of 11*g**4/24 - 2*g**3/3 + 19*g**2. Suppose 3*o = -3*q - 27, -5*q - 9 - 6 = -o. Let c(z) = 5*z - 2. What is q*r(m) + 9*c(m)? m - 2 Let p(k) = k**2 - k. Suppose -4*b - 5 = -45. Let v(j) be the first derivative of -5/2*j**2 + 1 + 4/3*j**3 + 0*j. Give b*p(g) - 2*v(g). 2*g**2 Let s(u) = 5*u + 3. Let b(t) = -2*t - 1. Determine 7*b(j) + 2*s(j). -4*j - 1 Let r(q) be the third derivative of -q**5/10 + q**4/8 - q**3 - 26*q**2. Let m(i) = -7*i**2 + 4*i - 7. Give 5*m(h) - 6*r(h). h**2 + 2*h + 1 Let b(k) = -k**2 - 3*k + 6. Let r(t) = -1. Suppose 3*n - 9 = 6. Determine n*r(u) + b(u). -u**2 - 3*u + 1 Let a(w) = w + 1. Let f be -4 + (-5)/(-1) + -1*3. Let g(b) = 3*b + 2. Calculate f*g(u) + 5*a(u). -u + 1 Let w(c) = -2*c**2 + 8*c. Let n(l) = -l**3 + 5*l**2 - 4*l + 3. Let o be n(4). Let u = 11 - 11. Let f(h) = 0*h + 0*h - h**2 + u*h + o*h. Give -8*f(k) + 3*w(k). 2*k**2 Let o(v) = 2*v**3 - 5*v + 1. Let m(n) = 4*n**3 - 11*n + 2. Give 3*m(u) - 7*o(u). -2*u**3 + 2*u - 1 Let n(t) = 5*t**2 + 9*t - 3. Let y(v) = 2*v**2 + 3*v - 1. Let p(s) = 3*n(s) - 8*y(s). Let z(h) = -h**2 + 2*h - 1. Give 3*p(q) - 5*z(q). 2*q**2 - q + 2 Let u(w) be the third derivative of w**4/24 - w**3/6 - 45*w**2 + 2*w. Let l(t) = 3*t - 6. What is l(k) - 6*u(k)? -3*k Let m(s) = -8*s - 4. Let g(v) = 15*v + 9. Let h(q) = 3*g(q) + 5*m(q). Let w(j) = 4*j - 1 + 4 + 0*j - 2*j. Calculate 3*h(y) - 7*w(y). y Let t = -39 - -33. Let f(c) = 2*c + 6. Let d(g) = g + 5. Calculate t*d(m) + 5*f(m). 4*m Let n(c) = -3*c**2 - 2*c. Let z(s) = -1 + 3*s**2 + 7*s**2 - 11*s**2 - s + 2. What is -n(q) + 2*z(q)? q**2 + 2 Let x(y) = y**3 - y - 2. Let b(n) = -516*n**3 - 3 + 520*n**3 - 3 - 4*n. Calculate -2*b(j) + 7*x(j). -j**3 + j - 2 Let w(d) = -11*d + 27. Let o(y) = -6*y + 13. Determine 7*o(x) - 4*w(x). 2*x - 17 Let c(r) = -r**3 - 2*r**2 - 2*r - 27. Let t(b) = -b**3 - b**2 - b + 1. Calculate -c(w) + 2*t(w). -w**3 + 29 Let p(r) = 6*r - 1. Let o(m) = 1. Let i = -143 - -144. What is i*p(f) + o(f)? 6*f Suppose 3*r - 2*r = 0. Suppose c - 6*c + 25 = r. Let j(u) = u - 4. Let o(v) = v - 3. Determine c*o(z) - 4*j(z). z + 1 Let d(c) = 5*c + 4. Let s(b) = 3*b + 2. Let f(l) = -5*l + 11. Let z be f(5). Let n = z - -7. Calculate n*s(o) + 4*d(o). -o + 2 Let s(c) = -3*c**3 + 5*c**2 + 5*c - 5. Let u = -49 + 44. Let y(w) = 4*w**3 - 7*w**2 - 7*w + 7. What is u*y(o) - 7*s(o)? o**3 Suppose -1 + 5 = -4*r. Let w(m) be the first derivative of m**2/2 + m - 266. Let t(l) = l - 2. Calculate r*t(d) - w(d). -2*d + 1 Let h(b) = b. Let q(f) = -3*f - 13. Let n be q(-5). Let t(s) = -2*s**2 + 6*s + 0*s**n + 2 + 2 - 3. What is 6*h(v) - t(v)? 2*v**2 - 1 Suppose 0 = 3*z - 3*r - 27, 0 = 2*z - r + 3*r - 6. Let q(s) = s - 6. Let l(i) be the third derivative of 0*i + 1/6*i**3 + 2*i**2 + 0. What is z*l(o) + q(o)? o Let a(m) = 4*m**3 - m**2 + 2. Let p(n) be the second derivative of n**5/4 - n**4/12 + 3*n**2/2 + 2*n. Give -3*a(t) + 2*p(t). -2*t**3 + t**2 Let g(p) = 5*p + 14. Let w(i) = -5*i - 9 - 2*i + 4*i. Calculate 5*g(x) + 8*w(x). x - 2 Let f(k) be the second derivative of 3*k**5/20 + 3*k**4/4 - 3*k**3/2 - 9*k**2/2 - 25*k. Let q(s) = -s**3 - 4*s**2 + 4*s + 4. Determine 4*f(v) + 9*q(v). 3*v**3 Let y(i) = -2*i**2 - 2*i. Let s = -2 + 3. Suppose -7*q = -3*q. Let h(t) = -1 + q - 2 + 2. Determine s*y(z) + 2*h(z). -2*z**2 - 2*z - 2 Let b(g) = 2*g**2 + 4*g + 6. Let v(k) be the first derivative of -k**2/2 - k + 2. Determine b(m) + 6*v(m). 2*m**2 - 2*m Let f(b) = -b**2. Let s(o) = -12*o**2. Calculate 8*f(x) - s(x). 4*x**2 Let m(p) = -420*p - 72. Let h(a) = 29*a + 5. Determine 72*h(j) + 5*m(j). -12*j Let a(c) = -4*c + 12. Let n(f) = -23*f + 73. What is -34*a(d) + 6*n(d)? -2*d + 30 Let w(x) = -x + 1. Let p(l) = 2*l**2 + 3*l - 4. Determine p(s) + 6*w(s). 2*s**2 - 3*s + 2 Let d(l) be the second derivative of 5/2*l**2 - 5/12*l**4 + l + 8/3*l**3 + 0. Let c(p) = -p**2 + 3*p + 1. Suppose 23 = -4*s - 21. Determine s*c(j) + 2*d(j). j**2 - j - 1 Let q(u) be the first deri
{ "pile_set_name": "DM Mathematics" }
se -3*c - 17 = 1231. Sort -0.3, -5, c in ascending order. c, -5, -0.3 Let x = -76 + 135. Let q = -61 + x. Let d be (0/(1 - 2))/(-2). Sort q, 2, d in decreasing order. 2, d, q Let j be 6/8 + (-2380)/(-560). Let w = 61/115 + -3/23. Sort 0, w, 2, j. 0, w, 2, j Let m(l) = 15*l**2 - 721*l + 51. Let k be m(48). Let i = 1.3 + -7.3. Put k, 0.5, -1, i in descending order. k, 0.5, -1, i Let j = 0.1571 - 0.0571. Put 14, -0.4, j, -1/10 in descending order. 14, j, -1/10, -0.4 Let j = 3 - 4. Let i = -492 - -491.9. Sort 0.2, 0.3, i, j in descending order. 0.3, 0.2, i, j Let c = -48318 - -47489.24. Let j = c + 815. Let d = j - 0.24. Put d, 0.1, -2/5 in decreasing order. 0.1, -2/5, d Let v = -0.098 + 0.038. Sort v, 1, -4/3, 0.2 in ascending order. -4/3, v, 0.2, 1 Let t(w) = -w**2 + 16*w - 8. Let k be t(22). Let j = k + 143. Put -1, -4, 5, j in decreasing order. 5, j, -1, -4 Let n = 1.7 - 1.6. Let k be (-6)/4*24/(-144). Let h = 0 - 0.2. Sort n, k, h in decreasing order. k, n, h Let f be (-18 + 30)*2/8. Sort 4, 2, f, 5 in ascending order. 2, f, 4, 5 Let v be (-4)/6 - 7/(-15). Let c = 7 - -35. Let u = c + -44. Sort -1/7, v, u in decreasing order. -1/7, v, u Let b(y) = 10*y**3 - 19*y**2 + 1. Let w be b(2). Sort w, 113, 3 in descending order. 113, w, 3 Let r be 96*(-4)/16*3. Put -2, 1, r in decreasing order. 1, -2, r Let l(n) = 4*n**3 - 14*n**2 + 4*n - 8. Let b(i) = -5*i**3 + 15*i**2 - 5*i + 7. Let s(w) = -3*b(w) - 4*l(w). Let h be s(11). Put 2, h, 5 in ascending order. h, 2, 5 Let k = 6 + -5. Let l be -22 - -5 - (k - 0). Let d be (-4)/3*(-3)/l. Sort 2, -0.2, d. d, -0.2, 2 Let y = -502 - -666. Sort -0.5, -0.3, y in ascending order. -0.5, -0.3, y Let r be (-6)/(-15)*5 + 5 + 87. Let m = -98 + r. Put -8, m, 3 in descending order. 3, m, -8 Let c = 243 - 248. Sort -0.5, 31, -1/6, c in decreasing order. 31, -1/6, -0.5, c Suppose 0*g - 4*g + 16 = -4*a, -3*a + g - 4 = 0. Suppose -3*o - o = 5*l + 15, a = 5*o + l + 3. Put o, 32, -3 in descending order. 32, o, -3 Let t = 16 + -81/5. Let l = -12.1 + -1.9. Let v = l + 9. Put t, -0.1, v in ascending order. v, t, -0.1 Let m = 23 - 21. Suppose 0 = -2*f - m*u, 0 = -f - 0*f + 2*u + 9. Sort 10, 1, f in descending order. 10, f, 1 Let j = 10 + -7. Let v be 13 - (j + 0 + -2). Let h be ((-6)/(-18))/(1/v). Put h, 5, -5 in descending order. 5, h, -5 Let z = 9 + 8. Suppose 27 - z = 2*h. Sort 4, 1, -3, h in descending order. h, 4, 1, -3 Suppose 0 = 4*m + 52 + 36. Let h be (615/m)/((-1)/4). Let f = h + -112. Sort -1/5, f, 1 in ascending order. -1/5, f, 1 Let w = -188 - -189. Let l = 6 + -7. Sort 4, l, w, -3. -3, l, w, 4 Suppose 15 = 2*z + 9. Sort -11, z, -4 in descending order. z, -4, -11 Suppose 0 = -6*i + i - 15. Suppose -23 = -78*u + 75*u + 2*z, 4*u - 36 = 4*z. Sort 1, u, i. i, 1, u Let o(c) = -4*c + 117. Let m be o(30). Sort 16, m, -4 in ascending order. -4, m, 16 Let k be 0 + (-3 + 0 - 3). Let s be 13/5 + k/10. Suppose 8 = s*v + 10. Sort v, 6, 1 in decreasing order. 6, 1, v Suppose 10 + 6 = 4*c. Let b = -5 + 4.2. Let t = 0.6 + b. Sort t, 1, c in descending order. c, 1, t Let a(x) be the second derivative of -5*x**4/12 + x**2/2 + 11*x. Let g be a(1). Sort 5, g, -3, 4 in descending order. 5, 4, -3, g Let y be (-2 - -5) + (2 - (4 + -2)). Sort y, -1, -5, -3 in descending order. y, -1, -3, -5 Let d = -21 - -24. Suppose -d*l = -13*l - 40. Suppose -12 = 2*i + 14. Sort 1, l, i in decreasing order. 1, l, i Suppose 11*h = -h + 96. Suppose 0 = -c + h*t - 3*t - 18, 0 = 4*c + 5*t - 3. Put 5, c, -1, 0 in descending order. 5, 0, -1, c Let f be (-66)/(-12) + 2/4. Let g = f - 4. Let h = 4/19 - 50/57. Sort h, g, 0.3 in decreasing order. g, 0.3, h Let h be 2 + -2 + (-4)/18. Let t be (-4)/12*3/4. Let q = 90 + -87. Sort t, h, q in decreasing order. q, h, t Suppose 3*k - 2*q + 0*q = 20, 4*k = 3*q + 28. Let a be (68/12 - k) + -3. Sort -0.3, a, -4, -0.4 in decreasing order. -0.3, -0.4, a, -4 Let j = -216.8 - -217. Sort 2, -0.3, -9, j. -9, -0.3, j, 2 Suppose 5*m + 20 = 4*y, 2*y = -3*m + 4*m + 10. Suppose 5*s + 17 - 62 = 0. Sort s, -0.5, 4, m in ascending order. -0.5, m, 4, s Let g = 175/11 - 1203/77. Suppose 5*t + 10 = r + 2*r, -4*t - 8 = -4*r. Let y = 0 - r. Sort g, y, -6/11 in descending order. g, y, -6/11 Let x be ((-71)/77 + 1)/(10/140). Sort -4, 6, x. -4, x, 6 Let p = 13.8 - 14.8. Sort -0.2, -2/5, p, -4 in descending order. -0.2, -2/5, p, -4 Let q = 16 + -13. Let y = -5 - -6. Sort -4/9, 0.4, y, q. -4/9, 0.4, y, q Suppose -2*k = 0, 0 = -2*h + k + 2*k + 6. Suppose -h*p + 12 = -0*v + 3*v, 0 = -5*p - 10. Let j = -7 + v. Sort 2, j, -6 in decreasing order. 2, j, -6 Let a(y) = 39*y - 7. Let z be a(0). Sort z, -5, 0 in descending order. 0, -5, z Let r = -922 + 929. Sort 0.01, 0.4, r. 0.01, 0.4, r Let s = 73 - 74. Sort 0.02, -3, s in increasing order. -3, s, 0.02 Let a be 19 + 12/(-14)*-14. Put -1, a, 1 in descending order. a, 1, -1 Let y be (655/524)/(1/(-4)). Put 23, y, 7 in descending order. 23, 7, y Suppose 3*q = 5*r - 315, -52 = -4*r + 2*q + 202. Sort r, 5, -2. -2, 5, r Let a be 4/6 + 17/(-3). Put a, -10, 1 in descending order. 1, a, -10 Let n = 1423 + -1424.7. Put -0.4, -1/8, n in descending order. -1/8, -0.4, n Let p be (-350)/875*(-5)/4. Put 0.7, p, -0.05 in descending order. 0.7, p, -0.05 Suppose 0 = -13*d + 14*d - 3. Put 0, -2, d in decreasing order. d, 0, -2 Suppose -3*a - 255 = 5*q + 2*a, 7*q + 3*a = -373. Sort 5, 4, 3, q in increasing order. q, 3, 4, 5 Let l(q) = -4*q**3 - 21 - 6*q + 16 + 5*q**3 + 4*q**2 + q**2. Let i be l(-6). Put i, -3, 3 in decreasing order. 3, -3, i Let b = 291 + -289. Put -1/7, b, -2, 1.1 in decreasing order. b, 1.1, -1/7, -2 Let m(h) = h**2 - 7*h + 11. Let i be m(6). Suppose -i*p = -7*p + 6. Put p, 1/7, 3/8 in descending order. p, 3/8, 1/7 Suppose 3*y - 2*y = -3*y. Sort -23, y, -1, 2 in decreasing order. 2, y, -1, -23 Let t be 4/5*(-25)/(-10). Suppose -t*l + y = 15, -2*l - 24 = -2*y + 4*y. Sort l, -2/15, 0.1. l, -2/15, 0.1 Let j = -367/889 - 2/127. Put -3, -3/2, j, -13 in descending order. j, -3/2, -3, -13 Let z = 15.5 - -3.5. Let o = -16 + z. Let p = o + 1. Sort 2/3, 0.5, p in increasing order. 0.5, 2/3, p Let g = -402.1 - -404. Sort 3, -0.1, g. -0.1, g, 3 Let q = -2 + 7. Suppose q*a + 12 = 2. Let d(c) = -c**3 + 4*c**2 - 9*c + 123. Let r be d(6). Sort 5, r, a in ascending order. r, a, 5 Let h(b) = 5*b**2 - b + 2. Suppose 0 = -5*z - 14 + 19. Let p be h(z). Sort 3, -2, -1, p in ascending order. -2, -1, 3, p Let f = 0.1 - 0.1. Let j = -0.24 - 0.76. Let g = f - j. Put 2/9, g, -4 in increasing order. -4, 2/9, g Suppose 2*x = -0*x - 4*k - 16, -x - k = 5. Sort 5, x, 3, 11. x, 3, 5, 11 Suppose -11*m + 12*m = 1, -m = -4*o + 19. Sort -5, o, -1 in increasing order. -5, -1, o Let l be 63/(-2)*(-18)/(-27). Let o be (23 + l)*(-1)/2*5. Sort 5, 0, o, 0.4 in increasing order. o, 0, 0.4, 5 Suppose 4*z + 14 = b - 2*b, -2 = b + z. Let x be (0 - b/5)/((-9)/(-15)). Put x, -0.5, 0.3, 2 in ascending order. x, -0.5, 0.3, 2 Let m = 1190 - 1199. Sort 0.2, -2, -1/6, m in decreasing order. 0.2, -1/6, -2, m Let v = 348 - 348.01. Put -1, 1/3, v, -0.5 in decreasing order. 1/3, v, -0.5, -1 Let b = -10 - -14. Suppose p + 2*p + 45 = -3*q, 0 = -4*p - 5*q - 59. Let u be -20*((-44)/p + -3). Put u, b, 7 in decreasing order. 7, u, b Suppose -a + 4*q = -5*a - 16, -5*q - 20 = -4*a. Suppose -p = 2*p - 6. Suppose 16 = -p*y + 6. Sort a, 4, y in decreasing order. 4, a, y Let w = -149 - -150. Sort 0.42, -0.2, w in descending order. w, 0.42, -0.2 Let l(i) = -i**2 - 2*i - 9 - 7*i - i. Let d be l(-7). Suppose 0 + d = -5*c - 3*t, c - t - 4 = 0. Sort c, 5, -5 in descending order. 5, c, -5 Let k(f) = f**3 + 45*f**2 + 128*f + 42. Let n be k(-42). Sort -4, n, 4 in descending order. 4, -4, n Suppose 5 = 11*c - 13 - 15. Suppose 0 = -u + 6*u - 10. Sort c, -4, -3, u. -4, -3, u, c Let z = 691 - 691. Sort z, 2/9, -7/3 in decreasing order. 2/9, z, -7/3 Let h = 0.68 + -0.38. Suppose 135*f - 138*f + 6 = 0. Sort 1/2, f, h, 4/7 in descending order. f, 4/7, 1/2, h Let u be (-15)/((-15)/4)*(0 - -1). Suppose 3*o = -4*k - 5, -u = -5*k + o - 34. Put k, -2, 4 in decreasing order. 4, -2, k Let b = -20 + 21. Suppose -5*t = 2*o + 2 + b, -5*t + 1 = o. Suppose 5*c = -8 - 2. Sort c, -1, o in ascending order. o, c, -1 Let o be 38/10 + (-12)/(-60). Suppose -o*a + 12 = 0, 9 + 448 = -4*f + 3*a. Let x = -5
{ "pile_set_name": "DM Mathematics" }
the hundreds digit of 426093? 0 What is the tens digit of 4357740? 4 What is the ten thousands digit of 357690? 5 What is the hundreds digit of 6913671? 6 What is the thousands digit of 24217469? 7 What is the units digit of 334676? 6 What is the hundreds digit of 433609? 6 What is the thousands digit of 12614855? 4 What is the units digit of 10702855? 5 What is the units digit of 277860? 0 What is the thousands digit of 9737021? 7 What is the ten thousands digit of 10614514? 1 What is the thousands digit of 212412? 2 What is the tens digit of 1314846? 4 What is the hundred thousands digit of 1786199? 7 What is the ten thousands digit of 659738? 5 What is the hundred thousands digit of 120708? 1 What is the thousands digit of 51679? 1 What is the tens digit of 222087? 8 What is the thousands digit of 2662115? 2 What is the tens digit of 42210? 1 What is the units digit of 4759245? 5 What is the ten millions digit of 10776371? 1 What is the hundred thousands digit of 829696? 8 What is the hundred thousands digit of 3179697? 1 What is the hundred thousands digit of 24477900? 4 What is the hundreds digit of 63845? 8 What is the ten thousands digit of 290676? 9 What is the hundred thousands digit of 3707429? 7 What is the units digit of 294161? 1 What is the thousands digit of 1021089? 1 What is the ten thousands digit of 1981141? 8 What is the thousands digit of 11177092? 7 What is the ten thousands digit of 4080029? 8 What is the millions digit of 1615446? 1 What is the hundred thousands digit of 2931717? 9 What is the ten thousands digit of 2348013? 4 What is the tens digit of 4094599? 9 What is the tens digit of 717243? 4 What is the ten millions digit of 23943214? 2 What is the tens digit of 1009893? 9 What is the thousands digit of 4224004? 4 What is the thousands digit of 263967? 3 What is the thousands digit of 430106? 0 What is the tens digit of 830423? 2 What is the hundreds digit of 19284427? 4 What is the hundred thousands digit of 23821909? 8 What is the units digit of 380120? 0 What is the ten thousands digit of 3251135? 5 What is the millions digit of 1119932? 1 What is the thousands digit of 10877108? 7 What is the millions digit of 6557602? 6 What is the millions digit of 2093997? 2 What is the thousands digit of 243921? 3 What is the hundred thousands digit of 258742? 2 What is the units digit of 463514? 4 What is the units digit of 5573944? 4 What is the hundreds digit of 23358? 3 What is the units digit of 218325? 5 What is the ten thousands digit of 3154053? 5 What is the hundred thousands digit of 1727664? 7 What is the hundred thousands digit of 112444? 1 What is the units digit of 286356? 6 What is the millions digit of 6697874? 6 What is the thousands digit of 3753345? 3 What is the tens digit of 6269? 6 What is the units digit of 24947? 7 What is the hundred thousands digit of 580386? 5 What is the hundred thousands digit of 10005601? 0 What is the ten thousands digit of 390198? 9 What is the hundred thousands digit of 309318? 3 What is the ten thousands digit of 1542360? 4 What is the ten thousands digit of 45976? 4 What is the thousands digit of 13775692? 5 What is the hundreds digit of 44899? 8 What is the ten thousands digit of 3747712? 4 What is the thousands digit of 7033147? 3 What is the ten thousands digit of 24960? 2 What is the hundred thousands digit of 264676? 2 What is the tens digit of 2567458? 5 What is the units digit of 202952? 2 What is the hundreds digit of 1611684? 6 What is the hundred thousands digit of 7372859? 3 What is the tens digit of 21839705? 0 What is the thousands digit of 819281? 9 What is the units digit of 12808351? 1 What is the hundred thousands digit of 1500959? 5 What is the hundred thousands digit of 115183? 1 What is the ten thousands digit of 19916888? 1 What is the thousands digit of 3476586? 6 What is the units digit of 36351? 1 What is the tens digit of 1677284? 8 What is the hundreds digit of 217687? 6 What is the hundreds digit of 1645935? 9 What is the thousands digit of 8424592? 4 What is the units digit of 90231? 1 What is the tens digit of 4368990? 9 What is the thousands digit of 549487? 9 What is the hundred thousands digit of 3889627? 8 What is the millions digit of 1273176? 1 What is the ten thousands digit of 424502? 2 What is the hundreds digit of 10610367? 3 What is the thousands digit of 4180572? 0 What is the tens digit of 615590? 9 What is the thousands digit of 158461? 8 What is the thousands digit of 5962517? 2 What is the hundreds digit of 232924? 9 What is the hundreds digit of 7029733? 7 What is the units digit of 1161213? 3 What is the units digit of 7382865? 5 What is the ten thousands digit of 125661? 2 What is the thousands digit of 3361985? 1 What is the hundred thousands digit of 1925121? 9 What is the ten thousands digit of 4746642? 4 What is the thousands digit of 15526? 5 What is the tens digit of 8647040? 4 What is the units digit of 837932? 2 What is the units digit of 357042? 2 What is the tens digit of 4762415? 1 What is the hundred thousands digit of 610867? 6 What is the ten millions digit of 15286953? 1 What is the thousands digit of 11304978? 4 What is the hundred thousands digit of 14318804? 3 What is the ten thousands digit of 146106? 4 What is the ten thousands digit of 8536360? 3 What is the tens digit of 566356? 5 What is the ten thousands digit of 34680879? 8 What is the ten thousands digit of 4884903? 8 What is the tens digit of 114963? 6 What is the tens digit of 784418? 1 What is the tens digit of 195941? 4 What is the tens digit of 1992788? 8 What is the hundred thousands digit of 360257? 3 What is the thousands digit of 3166831? 6 What is the units digit of 2094155? 5 What is the units digit of 304440? 0 What is the units digit of 1999796? 6 What is the ten thousands digit of 5352390? 5 What is the thousands digit of 3718529? 8 What is the hundred thousands digit of 11118950? 1 What is the units digit of 281977? 7 What is the thousands digit of 1626977? 6 What is the tens digit of 1590440? 4 What is the hundreds digit of 174650? 6 What is the units digit of 2429862? 2 What is the tens digit of 1918147? 4 What is the thousands digit of 1269701? 9 What is the hundreds digit of 279827? 8 What is the ten thousands digit of 37760937? 6 What is the thousands digit of 3127477? 7 What is the tens digit of 3596490? 9 What is the tens digit of 869416? 1 What is the units digit of 55498? 8 What is the tens digit of 3041215? 1 What is the hundred thousands digit of 294317? 2 What is the tens digit of 764833? 3 What is the units digit of 19197811? 1 What is the units digit of 3248864? 4 What is the hundreds digit of 291004? 0 What is the tens digit of 1221695? 9 What is the thousands digit of 1557047? 7 What is the millions digit of 1786229? 1 What is the units digit of 8171768? 8 What is the tens digit of 1971346? 4 What is the ten thousands digit of 3931257? 3 What is the ten millions digit of 16708378? 1 What is the hundreds digit of 35362? 3 What is the ten thousands digit of 1202874? 0 What is the tens digit of 9256? 5 What is the ten thousands digit of 147953? 4 What is the ten thousands digit of 6530495? 3 What is the hundreds digit of 2748309? 3 What is the thousands digit of 660453? 0 What is the hundreds digit of 563587? 5 What is the units digit of 188433? 3 What is the hundreds digit of 1743080? 0 What is the hundred thousands digit of 345846? 3 What is the hundred thousands digit of 4541139? 5 What is the ten thousands digit of 69563? 6 What is the hundred thousands digit of 39873988? 8 What is the units digit of 4270014? 4 What is the units digit of 573417? 7 What is the hundred thousands digit of 6083374? 0 What is the hundreds digit of 212829? 8 What is the millions digit of 5035321? 5 What is the hundreds digit of 974427? 4 What is the hundreds digit of 418186? 1 What is the units digit of 64390? 0 What is the tens digit of 118224? 2 What is the thousands digit of 33061874? 1 What is the hundreds digit of 619678? 6 What is the tens digit of 344840? 4 What is the ten thousands digit of 40097? 4 What is the thousands digit of 11370? 1 What is the hundreds digit of 13584? 5 What is the hundreds digit of 103915? 9 What is th
{ "pile_set_name": "DM Mathematics" }
cking 1 p and 1 s? 1/33 Two letters picked without replacement from {q: 10, a: 2}. What is prob of picking 2 q? 15/22 Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {h: 2, x: 7, g: 4, a: 1}. 8/91 What is prob of picking 1 t, 1 h, and 1 j when three letters picked without replacement from {v: 1, a: 2, j: 3, h: 1, n: 5, t: 3}? 9/455 What is prob of picking 2 u and 1 n when three letters picked without replacement from {r: 1, u: 3, n: 2, h: 12, b: 2}? 1/190 Two letters picked without replacement from iuiuluiubcuiuiuic. What is prob of picking 1 u and 1 i? 21/68 Three letters picked without replacement from {w: 1, e: 2, u: 4, m: 1, h: 3}. What is prob of picking 1 h and 2 u? 6/55 What is prob of picking 3 y when three letters picked without replacement from {x: 1, q: 1, y: 3}? 1/10 Four letters picked without replacement from mmxmx. Give prob of picking 3 m and 1 x. 2/5 Two letters picked without replacement from bonoeppppooo. Give prob of picking 1 o and 1 e. 5/66 What is prob of picking 1 i, 2 o, and 1 x when four letters picked without replacement from {o: 6, i: 1, n: 7, p: 2, x: 3}? 15/1292 What is prob of picking 1 v and 3 x when four letters picked without replacement from {v: 5, p: 1, x: 5}? 5/33 What is prob of picking 3 a and 1 h when four letters picked without replacement from {d: 1, t: 1, n: 1, h: 6, a: 3, q: 3}? 2/455 Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, h: 6, e: 7}. 1/13 Three letters picked without replacement from yccvxyyycyvyxyvvy. Give prob of picking 2 y and 1 x. 7/85 Calculate prob of picking 2 k and 1 n when three letters picked without replacement from knvcvvcvckkvnvv. 6/455 What is prob of picking 1 u and 1 x when two letters picked without replacement from {u: 1, d: 1, k: 1, b: 2, x: 2}? 2/21 Three letters picked without replacement from {k: 8, u: 2}. What is prob of picking 3 k? 7/15 Four letters picked without replacement from {h: 4, x: 6, c: 5}. What is prob of picking 3 x and 1 h? 16/273 Four letters picked without replacement from cyfecsyyscifci. Give prob of picking 1 s, 1 y, and 2 c. 36/1001 What is prob of picking 1 b and 1 m when two letters picked without replacement from {r: 3, v: 1, b: 2, p: 4, m: 1, x: 4}? 2/105 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bobzzzbocofozbo. 4/105 Calculate prob of picking 2 v when two letters picked without replacement from {s: 2, v: 11}. 55/78 Two letters picked without replacement from {c: 7, a: 1, b: 1}. Give prob of picking 1 b and 1 c. 7/36 Two letters picked without replacement from {t: 6, p: 3, d: 6}. What is prob of picking 2 d? 1/7 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from vvelvebmvevv. 1/66 Calculate prob of picking 1 s and 2 y when three letters picked without replacement from ssskuyasayhsshash. 7/680 What is prob of picking 3 x when three letters picked without replacement from wwwxxwwwxwwwwwwwwwww? 1/1140 Three letters picked without replacement from {b: 3, t: 8}. Give prob of picking 3 t. 56/165 Three letters picked without replacement from smssmssssss. Give prob of picking 1 m and 2 s. 24/55 Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {s: 3, d: 9}. 27/220 Three letters picked without replacement from kknbabk. What is prob of picking 3 k? 1/35 Four letters picked without replacement from {v: 3, a: 8, z: 1, w: 1, y: 1, n: 2}. What is prob of picking 1 a, 1 z, and 2 v? 6/455 Three letters picked without replacement from {d: 1, b: 3, c: 1, o: 1, z: 1}. What is prob of picking 1 z, 1 o, and 1 b? 3/35 Calculate prob of picking 2 t and 1 u when three letters picked without replacement from oobutboboko. 0 What is prob of picking 1 r, 1 m, and 1 g when three letters picked without replacement from rrmrgrmgmcmmg? 30/143 What is prob of picking 1 t, 1 l, and 1 d when three letters picked without replacement from tdvcvpl? 1/35 Four letters picked without replacement from wwawapphpppphpp. Give prob of picking 1 p, 2 a, and 1 w. 8/455 Three letters picked without replacement from {y: 2, h: 5}. Give prob of picking 3 h. 2/7 Three letters picked without replacement from ctdcwtctccccccc. Give prob of picking 1 d and 2 c. 9/91 Two letters picked without replacement from kwwkkk. Give prob of picking 2 w. 1/15 Calculate prob of picking 2 e when two letters picked without replacement from {x: 2, b: 1, n: 1, e: 2, r: 7, w: 2}. 1/105 Calculate prob of picking 4 g when four letters picked without replacement from {k: 9, g: 9}. 7/170 Three letters picked without replacement from {q: 1, b: 2, d: 1, x: 2, g: 1}. What is prob of picking 1 q and 2 b? 1/35 Three letters picked without replacement from alllalllaaallnlv. Give prob of picking 1 a, 1 v, and 1 n. 1/112 Two letters picked without replacement from lealkyyh. What is prob of picking 1 l and 1 a? 1/14 What is prob of picking 1 y, 1 c, and 1 i when three letters picked without replacement from {r: 3, c: 2, z: 7, y: 5, i: 2, d: 1}? 1/57 Two letters picked without replacement from {y: 2, i: 1, v: 1, l: 5}. Give prob of picking 2 l. 5/18 Four letters picked without replacement from epeeeeppeeeeeepeee. Give prob of picking 4 p. 1/3060 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from zzzphhpchzhzzzzzhpzc. 1/19 Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {i: 2, q: 18}. 3/190 Four letters picked without replacement from {p: 6, l: 1, y: 1, b: 2, g: 2}. Give prob of picking 2 b and 2 p. 1/33 What is prob of picking 2 j when two letters picked without replacement from {x: 16, j: 2}? 1/153 Four letters picked without replacement from kkukklukukrk. Give prob of picking 1 l, 1 r, and 2 k. 7/165 Four letters picked without replacement from eezezazyezzezze. Give prob of picking 1 z, 1 y, and 2 e. 1/13 Four letters picked without replacement from bnnwwcnng. What is prob of picking 3 n and 1 c? 2/63 What is prob of picking 4 j when four letters picked without replacement from {j: 18, h: 1}? 15/19 What is prob of picking 2 w when two letters picked without replacement from {q: 10, j: 5, w: 4}? 2/57 Calculate prob of picking 2 o and 2 v when four letters picked without replacement from {v: 7, o: 12}. 231/646 Calculate prob of picking 1 o and 2 g when three letters picked without replacement from oaaiaaioaaiaaaoggao. 4/969 Three letters picked without replacement from jucudyujjd. Give prob of picking 1 d and 2 u. 1/20 Four letters picked without replacement from pssptyppnsny. Give prob of picking 1 n, 2 p, and 1 t. 4/165 What is prob of picking 2 z and 1 s when three letters picked without replacement from {s: 2, q: 3, z: 4}? 1/7 Four letters picked without replacement from yyyygggyygyg. Give prob of picking 2 y and 2 g. 14/33 Four letters picked without replacement from {l: 3, c: 6, n: 1, z: 9}. Give prob of picking 1 l, 2 c, and 1 z. 135/1292 What is prob of picking 1 v and 1 r when two letters picked without replacement from qvqkrr? 2/15 Three letters picked without replacement from jsksjjsjjjjkkjsss. What is prob of picking 1 j, 1 k, and 1 s? 18/85 Two letters picked without replacement from {j: 1, f: 1, x: 3, b: 3, s: 2}. Give prob of picking 1 f and 1 x. 1/15 Calculate prob of picking 2 w and 1 o when three letters picked without replacement from {o: 2, k: 10, w: 4}. 3/140 Two letters picked without replacement from {h: 5, k: 3, l: 5, r: 2}. Give prob of picking 1 k and 1 h. 1/7 Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {v: 1, d: 1, c: 4, q: 1, t: 2}. 1/84 Two letters picked without replacement from {y: 13, e: 3}. What is prob of picking 1 e and 1 y? 13/40 Three letters picked without replacement from {b: 2, j: 10}. What is prob of picking 2 b and 1 j? 1/22 Four letters picked without replacement from {g: 4, c: 3, e: 4, k: 6}. Give prob of picking 1 k, 1 e, and 2 g. 36/595 What is prob of picking 2 a when two letters picked without replacement from zaaaaaaaaaazaaaaaaa? 136/171 Two letters picked without replacement from {i: 1, e: 3, h: 1, r: 1, c: 1}. What is prob of picking 1 i and 1 e? 1/7 Ca
{ "pile_set_name": "DM Mathematics" }
Let i(d) be the third derivative of -1/180*d**4 + 2/15*d**3 - 1/450*d**5 + k - 2*d - 5*d**2. Factor i(y). -2*(y - 2)*(y + 3)/15 Let b(c) = 14*c + 6*c + 2562 + 5*c**2 - 4*c**2 - 2473. Let n be b(-14). Find r, given that 2/7*r + 0*r**3 + 5/7*r**4 - 2/7*r**n + 0 - 5/7*r**2 = 0. -1, 0, 1/2, 1, 2 Determine h so that -177*h**3 + 23*h**2 + 4*h**4 + 149*h**3 + 41*h**2 - 33*h - 15*h = 0. 0, 2, 3 Let i = -5633 - -5636. Let b(l) be the second derivative of 0*l**2 + 1/3*l**i + 0 - 11*l + 1/12*l**4 - 1/20*l**5. Determine q so that b(q) = 0. -1, 0, 2 Let b(h) be the first derivative of -73 + 7/9*h**2 - 8/3*h - 2/27*h**3. Factor b(w). -2*(w - 4)*(w - 3)/9 Let g = -6116 + 6116. Let s(f) be the second derivative of 15*f - 3/4*f**5 + 1/3*f**6 + 15/2*f**2 - 5/6*f**3 - 15/4*f**4 + g. Factor s(l). 5*(l - 3)*(l + 1)**2*(2*l - 1) Factor -6*i + 1/3*i**3 + i**2 + 0. i*(i - 3)*(i + 6)/3 Suppose -287*v = -296*v + 2286. Let a be (-107)/(-1391) - v/(-78). Suppose -22/3*b**2 + a*b**3 + 2*b + 2*b**4 + 0 = 0. Calculate b. -3, 0, 1/3, 1 Let z(j) = -11*j**3 + 38*j**2 + 41*j. Let x(d) = -5*d**3 - 2*d**2 - d. Let q(y) = 4*x(y) - 2*z(y). Factor q(w). 2*w*(w - 43)*(w + 1) Let k be (209/(-627))/(27/6 + -5). Factor -1/2*j + k*j**2 + 0 - 1/6*j**3. -j*(j - 3)*(j - 1)/6 Let r = 41 + -39. Suppose 3*p + r*o = 79, 0*p - o = 2*p - 52. Factor 41*g - 180 + p*g - 6*g - 5*g**2. -5*(g - 6)**2 Let b(n) be the first derivative of -n**4/24 - n**3/2 + 43*n**2/4 - 119*n/6 - 6970. Factor b(u). -(u - 7)*(u - 1)*(u + 17)/6 Let j(h) be the third derivative of -h**6/180 - h**5/3 - 21*h**4/4 - 1876*h**2. Find a, given that j(a) = 0. -21, -9, 0 Suppose -58 = -31*u - 4*o, 7*o - 10*o - 1 = u. Factor -3/2*c**3 + 0 + 3/2*c + 0*c**u. -3*c*(c - 1)*(c + 1)/2 Let k = 1843 - 1843. Let x(g) be the first derivative of 3/22*g**4 - 2/55*g**5 - 2/11*g**3 + k*g + 1/11*g**2 - 2. Suppose x(m) = 0. Calculate m. 0, 1 Let c be 366 + (13/(-3) - (-100)/(-60)). Suppose c*g - 359*g = 2. Factor -g*q + 5/2 - 1/2*q**2. -(q - 1)*(q + 5)/2 Suppose -2*p - 15 = -23. What is x in -p*x**3 + 6*x**5 + 12*x**2 + 708*x + 16 - 8*x**4 - 22*x**3 - 668*x = 0? -1, -2/3, 2 Let i(n) be the third derivative of -n**7/210 - n**6/120 + n**5/15 + n**4/6 + 4086*n**2. Factor i(w). -w*(w - 2)*(w + 1)*(w + 2) Let z(a) be the third derivative of 0*a - 1/75*a**5 - 1/60*a**4 + 0*a**3 + 2/525*a**7 + 0*a**6 - 106*a**2 + 0 + 1/840*a**8. Factor z(j). 2*j*(j - 1)*(j + 1)**3/5 Factor -22/3*j + 40/3 - 19/3*j**2 + 1/3*j**3. (j - 20)*(j - 1)*(j + 2)/3 Find f, given that -1257*f - 1636*f - 270*f - 180 + 5614*f - 116732*f**2 + 6753*f - 23716*f**3 = 0. -5, 3/77 Let w(i) be the second derivative of i**7/42 - 29*i**6/30 + 63*i**5/10 - 12*i**4 + 2*i + 381. Factor w(y). y**2*(y - 24)*(y - 3)*(y - 2) Let b be (((-28)/(-1))/(-14))/(-3). Let i(t) be the second derivative of 20*t + 5/36*t**4 + 4/9*t**3 + 0 + b*t**2 + 1/60*t**5. Let i(l) = 0. Calculate l. -2, -1 Let g(m) = -22*m + 47. Let f be g(2). Solve 3*u**2 + 23*u**4 - 3*u**5 - 11*u**4 - 9*u**f + 12*u - 15*u**2 = 0. -1, 0, 1, 2 Let j(s) be the second derivative of 0 - 17/50*s**5 + 0*s**2 + s**4 + 0*s**3 + 1/75*s**6 - 25*s. Factor j(b). 2*b**2*(b - 15)*(b - 2)/5 Suppose 0 = 2*x - 3*w - 16, w - 4*w - 8 = 2*x. Let n = 156490 + -156490. Suppose 0*f + 1/3*f**4 - 1/3*f**x + n + 0*f**3 = 0. What is f? -1, 0, 1 Let n = -700165 + 700168. What is k in 390*k**2 - 5/2*k**n - 20280*k + 351520 = 0? 52 Factor f - 31/6*f**2 + 0 + 8/3*f**3 + 3/2*f**4. f*(f - 1)*(f + 3)*(9*f - 2)/6 Let c(f) = -f**2 - 385*f + 390. Let s(u) = -6*u**2 - 2697*u + 2730. Let o(k) = 27*c(k) - 4*s(k). Factor o(d). -3*(d - 130)*(d - 1) Suppose 1009*k + 694*k = 83*k - 134*k + 3508. Factor 48/7 + 52/7*w**k - 2/7*w**3 - 14*w. -2*(w - 24)*(w - 1)**2/7 Let d(j) be the third derivative of 93*j**2 + 1/168*j**8 + 0*j + 0 - 1/15*j**7 - 7/6*j**4 - 1/20*j**6 + 0*j**3 + 23/30*j**5. Let d(c) = 0. Calculate c. -2, 0, 1, 7 Let q(n) be the first derivative of 2*n**3/15 + 2216*n**2/5 + 2455328*n/5 + 9288. Factor q(o). 2*(o + 1108)**2/5 Let y(v) be the third derivative of -v**5/60 + 35*v**4/12 - 68*v**3/3 - 1620*v**2. Factor y(f). -(f - 68)*(f - 2) Let d(s) be the second derivative of -s**4/12 - 16*s**3/3 - 87*s**2/2 - 264*s - 1. Find p such that d(p) = 0. -29, -3 Let -1/3*j**3 + 0*j + 0 - 632/3*j**2 = 0. Calculate j. -632, 0 Suppose 8*q - 6231 = -23. Let o = q - 312. Suppose 33*u + 3*u**3 + 482 + 0*u + 18*u**2 - o = 0. What is u? -3, -2, -1 Let k(a) = -a**2 - 23*a + 78. Let m be k(-26). Factor 1 + 277*s**2 - 1 - 3*s**4 - 250*s**2 + m. -3*s**2*(s - 3)*(s + 3) Let a = 5 - -1. Suppose -a*r - 16 = -10*r. Solve 22 + 184*b**2 - 18 + 44*b + 108*b**5 + 360*b**3 + 362*b**4 - 38*b**r = 0 for b. -1, -1/3 Let c be 300/48 - 5/(-3)*(-60)/25. Let i(b) be the second derivative of c*b**3 + 3/40*b**5 + 0 - 3*b**2 - 14*b - 3/4*b**4. Determine s, given that i(s) = 0. 1, 4 Let y(q) be the second derivative of -q**7/168 - q**6/12 - 37*q**5/80 - 4*q**4/3 - 13*q**3/6 - 2*q**2 - 28*q + 12. What is p in y(p) = 0? -4, -2, -1 Suppose -36*r + 24*r - 48 = 0. Let t(z) = -z. Let a(m) = -3*m**2 - 4*m - 6*m**2 - 4 + 2*m**2 + 5*m**2. Let b(d) = r*t(d) - 2*a(d). Factor b(u). 4*(u + 1)*(u + 2) Let t be (-40)/(-140) + (92 - 92)/(5 - (0 - -2)). Factor 0 + 2*p**3 + 0*p - t*p**4 + 0*p**2. -2*p**3*(p - 7)/7 Suppose 0 = -4*y + 2*v + 110, 12*y = 10*y + 3*v + 57. Factor 24*m**4 - 24 - 54*m**2 + y*m**5 + 207*m**3 + 24 + 132*m**4. 3*m**2*(m + 3)**2*(9*m - 2) Let p(y) = -5*y**2 + 157*y + 696. Let x(m) = -4*m**2 + 158*m + 688. Let o(w) = 2*p(w) - 3*x(w). Determine d so that o(d) = 0. -4, 84 Suppose -2*j = 4 - 8. Suppose -j*l + 25 = 21. Find y such that -40*y - y**2 + 4*y - l*y**2 - 205 + 97 = 0. -6 Factor 0 - 549081*v - 741*v**2 - 1/4*v**3. -v*(v + 1482)**2/4 Let q(i) be the second derivative of -i**4/3 - 10*i**3/3 + 600*i**2 - 2398*i - 2. Factor q(m). -4*(m - 15)*(m + 20) Let i(p) be the first derivative of 8*p**3/3 - 33*p**2 - 164*p - 919. Solve i(q) = 0 for q. -2, 41/4 Factor 61*o - 9*o**2 + 0*o**2 - 186*o + 420 + o**2 + 3*o**2. -5*(o - 3)*(o + 28) Let n(t) be the third derivative of -7/9*t**3 + 74 + 0*t + 1/45*t**5 + t**2 + 13/36*t**4. Factor n(w). 2*(w + 7)*(2*w - 1)/3 Let v(c) = 26*c**4 + 95*c**3 + 36*c**2 - 39*c - 18. Let b(u) = -u**2 - u - 3. Let l(t) = -4*b(t) + v(t). Suppose l(z) = 0. What is z? -3, -1, -2/13, 1/2 Suppose 8*o + 2*z + 12 = 11*o, 0 = 5*z + 30. Let m(g) be the first derivative of 0*g**4 + 0*g + o*g**5 + 0*g**2 + 19 + 0*g**3 - 1/24*g**6. Solve m(b) = 0. 0 Find r such that 18637844 + 213323*r + 47*r**2 + 5070316 + 2024*r**2 + 210037*r + 5*r**3 + 449*r**2 = 0. -168 Let s = -3/5000 + 1663/105000. Let d(h) be the third derivative of 1/60*h**4 - 21*h**2 + 0*h + 0*h**3 - s*h**7 + 1/25*h**6 + 1/20*h**5 + 0. Factor d(z). -z*(z - 2)*(4*z + 1)**2/5 Determine v so that 93*v**2 + 17*v**2 + 4*v**4 - 188472 + 188472 + 82*v**3 - 76*v = 0. -19, -2, 0, 1/2 Let w(r) be the first derivative of r**3/9 - 65*r**2/6 - 22*r + 3804. Solve w(t) = 0. -1, 66 Let p(n) = 7*n - 72. Let t be p(11). Suppose 0*x = 4*x - 8, -t*j - 5*x + 10 = 0. What is c in j*c**3 + 10 + 22*c - 5*c**3 - 7*c + 0*c**3 = 0? -1, 2 Find c, given that -101/3*c**3 + 99*c**2 + 1/3*c**4 - 295/3*c + 98/3 = 0. 1, 98 Let o(k) be the first derivative of k**4/8 + 241*k**3/3 - 4895*k**2/4 + 6150*k - 12753. Determine s, given that o(s) = 0. -492, 5 Let j = 252 - 249. Let 71*w**j + 253*w**2 - 408*w**2 - w**4 + 197*w**2 - 30*w**3 = 0. Calculate w. -1, 0, 42 Let r(c) be the first derivative of c**4/26 - 22*c**3/39 + 16*c**2/13 + 168*c/13 - 18. Determine d so that r(d) = 0. -2, 6, 7 Factor 0 + 340/13*k**2 + 2/13*k**4 + 0*k + 342/13*k**3. 2*k**2*(k + 1)*(k + 170)/13 Let k(y) be the third derivative of -4/15*y**5 + 4*y**2 + 3/70*y**7 + 0 - 11/120*y**6 + 0*y**3 + 0*y + 1/6*y**4. Suppose k(c) = 0. What is c? -1, 0, 2/9, 2 Let z(w) = -w**5 - w**4 + w**3 + 1. Let q(c) = 8*c**5 + 16*c**4 - 18*c**2 - 6. Let n = -116 - -89. Let v = n + 28. Let o(a) = v*q(a) + 6*z(a). Factor o(j). 2*j**2*(j - 1)*(j + 3)**2 Let t(l) = 2*l**2 + 38*l + 5. Let h be t(-19). Factor -4*s**3 + 4*s + 11*s**2 + 0*s**2 - 17 + 1 + h*s**2. -4*(s - 4)*(s - 1)*(s + 1) Let n(a) be the first derivative of -4/3*a**3 - 250 + 424/7*a**2 - 240/7*a. Factor n(g). -4*(g - 30)*(7*g - 2)/7 Let a(z) be the second derivative of -z*
{ "pile_set_name": "DM Mathematics" }
6. Let m be x(4). Suppose 14 = -3*f + m. Let j = 4 + f. Solve w - 3 = -j for w. 3 Let t(z) = -z**3 + 2*z. Let x be t(2). Let d = 6 + x. Solve 1 = -d*c - 5 for c. -3 Let u(s) be the third derivative of s**4/24 + s**3/2 - s**2. Let z be u(0). Solve -2*y = -3*y + z for y. 3 Let k(h) = h**3 - 6*h**2 + 5*h + 1. Let l be k(5). Solve 5*d - l = -11 for d. -2 Let k = 22 + -14. Let n be 3/(0 + 6/k). Suppose -n*w + 51 = -37. Solve w - 2 = -4*f for f. -5 Let l be (-2 - -5)/(6/236). Let a be 12/60 + l/10. Solve -a = 5*o - 32 for o. 4 Suppose -5*i + 9 + 11 = 0. Suppose 0*t - 4*d = -i*t - 16, -3*t + 18 = 3*d. Solve -3*z + 2 = -t for z. 1 Suppose 0 = i - 0 - 8. Let a be 14/i*(2 + 2). Suppose 2*y + a = 5*j - 1, -5*j = -3*y - 7. Solve 2*t = 6 + j for t. 4 Let m = 34 - 34. Solve 1 = s - m for s. 1 Let r(l) = -l**3 - 9*l**2 - l - 6. Let j be r(-9). Suppose j*p = 6*p - 15. Solve 5*n = -p - 0 for n. -1 Suppose 21 = -0*t - 3*t. Let k(o) = -o - 7. Let y be k(t). Solve y*a + 4 = a for a. 4 Suppose 2*r - 3 = 3*c, 5*c + 14 = 5*r + 4*c. Solve -r*m = -8*m - 15 for m. -3 Let y(n) = n**2 - n - 3. Let v be y(3). Suppose a - 11 = -3*s - 0*s, -12 = v*a. Solve -3*r = -s + 2 for r. 1 Suppose 3*y = 8*y - 50. Let u = y + -6. Suppose -5*r - m + 4 = 0, r + 0*m - 8 = -2*m. Solve -p - u*p = r for p. 0 Let n be (-6)/((-18)/(-15)) + 2. Let f be (n/1 + 3)/1. Solve f = 4*g + 3 + 5 for g. -2 Suppose -3*d + 0 - 18 = 0. Let m be d/(-4)*8/6. Suppose -c = m*c. Solve c = -k + 3*k for k. 0 Let v(b) = b**3 - b**2 + 2. Suppose 2*o + 3*o = a - 25, 20 = -4*a - 4*o. Let r be v(a). Solve r*j + 15 = 5*j for j. 5 Let t = -18 + 14. Let y(i) = i**3 + 3*i**2 - 5*i - 1. Let s be y(t). Solve -s + 7 = g for g. 4 Let l = -16 + 8. Let v = l - -5. Let a be 2/3 + (-58)/v. Solve -6*q + q = a for q. -4 Let l(y) = -y**2 + 15*y - 10. Let v be l(14). Solve f + 1 = -v for f. -5 Suppose -3*a = -4*u - 25, u + 4*a + 32 = -3*u. Let c be 4*(0 + (-1)/2). Let i = c - u. Solve -i*s = -4 - 21 for s. 5 Suppose -2 + 1 = -k. Let p be (k/2)/(4/8). Suppose 0 = v - p. Solve -4 = -5*c + v for c. 1 Let u be (-2 - 33/(-7)) + 16/56. Solve 0 = u*r + 1 + 8 for r. -3 Let z(i) = 3*i + 7. Let y be z(-7). Let r = y - -21. Solve 3 = 4*t + r for t. -1 Suppose 0*a = 6*a - 30. Solve 0 = -a*m + m + 16 for m. 4 Let w(r) = -2*r**2 - 7*r + 3. Let o(q) = q**2 + 7*q - 2. Let h(n) = 3*o(n) + 2*w(n). Let m be h(3). Solve y - m = -2*y for y. 4 Let q be (0 - (-1)/(-4))*-12. Let p = 5 - -4. Solve 0*n - q*n = -p for n. 3 Suppose 0 = y - 20 + 5. Solve 3 = 3*j + y for j. -4 Let k(p) be the first derivative of p**4/2 - 2*p**3/3 - p**2/2 - p + 1. Let y be k(2). Suppose 3*z - 6 = 3. Solve 2 = -y*t - z for t. -1 Let z be 1155/27 - 6/(-27). Suppose 2 = f - 3, b + z = 5*f. Let x = b + 30. Solve -d + 4*d = x for d. 4 Suppose 0 = 4*r + 6*r. Solve n = -r*n for n. 0 Let l be (-3 - -4)*-2 + -1 - -3. Solve 0*w + 3*w + 15 = l for w. -5 Let z = 9 - -11. Solve t - z = -3*t for t. 5 Let c = -105 - -107. Let w(f) = f + 18. Let k be w(-8). Solve -c*m + k = 2 for m. 4 Let n be (-102)/(-8) + 6/(-8). Solve -3*c = c + n for c. -3 Let u be (-12)/(-2) - (3 + -9 + 9). Solve 0 = u*v + 9 for v. -3 Let p = 20 + -14. Solve 5*h = -p - 14 for h. -4 Let b be 4/9*18/4. Suppose -5*c = 2*l - 15, -3*c + b = -c. Solve l*i - 3 = -8 for i. -1 Suppose 4 = s - 4. Let a = s + -6. Solve -5*c = -a*c + 9 for c. -3 Let b be 1 - ((-15)/3 + 2). Let g = b - 0. Solve 0 = -g*y - 2 - 2 for y. -1 Let r(v) = v**2 - v + 2. Let p be r(0). Let a = 2 + -7. Let s(g) = -g - 4. Let w be s(a). Solve -h - p = -w for h. -1 Suppose 5*k = -2*k + 28. Let s be ((-5)/2 + 2)*0. Solve 2*t - k = -s for t. 2 Let y(t) = 3*t**3 - t**2. Let j be y(1). Suppose d - 10 = -5*v - 36, 5*d + j*v + 176 = 0. Let b be (22/(-6))/(6/d). Solve 4*s + 6 - b = 0 for s. 4 Let o(h) = -h**3 - h**2 + 16. Let s be o(0). Suppose -r - 2*m + 5*m + s = 0, 0 = 5*r + 2*m - 12. Let i be (-80)/(-3) + (-2)/3. Solve i = r*t + 6 for t. 5 Let w = 33 + -32. Solve a = -w + 5 for a. 4 Suppose -k = 3*k - 20. Suppose 0 = 6*p - k*p. Solve p*o = o + 5 for o. -5 Let b = -7 + 9. Solve b*y = 6*y - 16 for y. 4 Let k = -4 - -8. Let b(c) = c**2 + 4*c + 1. Let j be b(-5). Solve 2*d - j = k*d for d. -3 Suppose 5*n + 2*p + 85 = 0, 5*p + 74 = -4*n - 11. Let c be (n/(-20))/((-1)/(-12)). Solve 5*m - c = 2*m for m. 3 Suppose m = 5*m - 24. Suppose 0 = 5*y - 5*l - 15, -2*y + 3*y = 2*l + m. Let u be (-3 - (y + -1)) + 17. Solve -a = 4*a - u for a. 3 Let k be -1 - (3 + (4 - 8)). Solve k*p - 1 = p for p. -1 Let n be ((-64)/(-12) - 6)/((-4)/6). Solve -3*j = n + 14 for j. -5 Let v(r) be the first derivative of -r**4/4 + 5*r**3/3 + 2*r + 2. Let k be v(5). Let j(t) = -t**2 - 11*t + 4. Let u be j(-11). Solve -u*m + k*m = 0 for m. 0 Let n(p) = -p**3 - 6*p**2 - 6*p - 5. Let b be n(-5). Let d(l) = 5*l**2 + l**3 + b*l**3 - 4*l**2. Let i be d(2). Solve -w = 2*w + i for w. -4 Let w(p) = 18*p - 4. Let o be w(1). Solve -5*j - o - 11 = 0 for j. -5 Suppose 2*x + 0*x = -10, 26 = 2*h - 4*x. Suppose 0 = -2*o + 10 + 8. Suppose 4*c = o*c. Solve -7*i + h*i - 16 = c for i. -4 Let y(w) = 1. Let l(m) = -2*m + 6. Let o(h) = -l(h) - y(h). Let f(d) = -d**3 + 5*d**2 + 6. Let g be f(5). Let p be o(g). Solve 12 = p*q - q for q. 3 Suppose s - 3 = -5, -3*i - 3*s + 3 = 0. Suppose i = p - 0*p. Suppose 4*d - 20 = 12. Solve -p*y - d = -5*y for y. 4 Suppose 4*o - 7 = 1, -2*o = 2*t + 20. Let d = -11 - t. Let i be (-4)/2 + 6 + -1. Solve -d = i*k - 10 for k. 3 Suppose 1 = 5*c - 4. Let f be c*1/(-3)*0. Suppose -9*l + 4*l = f. Solve 3*i = -l*i - 9 for i. -3 Suppose -5*n + 3*o + 70 = -15, 4*o + 20 = 2*n. Solve -n = -0*b + 4*b for b. -5 Let t(r) = r**2 + 7*r + 9. Let v be t(-6). Suppose -5*c + v*c + 36 = 0. Solve 4*h - c = -2 for h. 4 Let w be -1*(-1)/(-2)*0. Let s = -92 - -97. Solve w = s*q - 2*q for q. 0 Let j(a) = -7*a + 47. Let b be j(6). Let i = 8 + -4. Let f be 2/i + (-1)/2. Solve f = -b*r + 4*r for r. 0 Let g be 36/54 - 22/(-3). Let q be 3/1 - (g + -5). Solve q*h = -4*h + 20 for h. 5 Suppose -4*d + 6 = 5*x - 7, -8 = -4*x - 4*d. Suppose -2 = -x*l + 13. Solve 0 = l*s - 5*s + 10 for s. 5 Let u = 21 - 14. Suppose -x - u = -10. Let s = x - 2. Solve s = t - 1 for t. 2 Suppose m = -2*m + 129. Suppose m = 4*a + 3. Solve 5*k - a = 10 for k. 4 Suppose 0 = h + 2*q - 1, 3*h + 2*h - 2*q - 17 = 0. Suppose 0 = -2*y - 3*x - 23, -y + 6 = -h*x + x. Let w be 24/15 - y/10. Solve 0 = -w*f + 1 + 3 for f. 2 Let n be 2/(1/2*-4). Let o be (16/(-2))/(1/n). Solve 0*v - o = 4*v for v. -2 Suppose 26 = 3*w - 7*p + 3*p, -3*p - 13 = w. Suppose w*r - 8 = -2*o - 0*r, -o + r - 4 = 0. Let z be (o - 2) + 1 - -3. Solve -f = 2 + z for f. -4 Let b(u) = -u + 3. Let s be b(-3). Let p = -2 + s. Solve -i = -0*i - p for i. 4 Let v be 1/2*(-27 - -1). Let u(c) = c**3 + 12*c**2 - 13*c + 8. Let z be u(v). Let t(f) = -f**3 - 4*f**2 - 5*f - 4. Let k be t(-3). Solve k*g = -2*g + z for g. 2 Let s = 6 + 4. Suppose -w - 5*g - s = 0, 5*w + g - 10 = 6*g. Solve w = f - 2*f + 3 for f. 3 Let d = -7 - -12. Suppose 0 = 5*p + 3*o - o - 17, d*p - 16 = -o. Solve p*y = 5*y - 10 for y. 5 Let b(h) = -h**2 + 9*h - 5. Let r be b(8). Solve 0 = -4*m - r - 9 for m. -3 Let y be 2 + -4 + -2 - -6. Solve 2*j = -y*j for j. 0 Suppose -3*t + 23 - 2 = 0. Solve t*p = 4*p - 9 for p. -3 Suppose 4 = 3*y - 2. Suppose y - 6 = -a. Solve -2 = -2*h + a for h. 3 Let a(v) = v**2 - 5*v + 12. Let t be a(3). Solve -4*d = 14 + t for d. -5 Let z(r) = -r + 6. Let x be z(5). Suppose j - 3*j = 0. Suppose j = g + g. Solve -x = l - g*l for l. -1 Let w be (-6)/3 + 5*-1. Let f be w - (1 + (-2 - 0)). Let v = f - -14. Solve 0 = -v*d + 3*d for d. 0 Suppose 4*o + 2*g - 52 = 0, o - 4*o + 57 = -3*g. Solve -2*p + o = p for p. 5 Let g = -28 - -15. Let m be (g + 6)*1*-2. Solve -5*h - m = -4 for h. -2 Suppose 2*f = 8, -3*c + 0*f = f - 19. Solve -3 = -2*t + c for t. 4 Suppose 3*m - 11 - 10 = 0. Suppose m = 5*j - 4*j. Solve j = -3*b - 8 for b. -5 Let k be -2 + 1 - 3/(-6)*2. Solve 0*x - x - 4 = k for x. -4 Suppose 0 = -3*j - 2 + 11. Suppose -j*f = -45 - 0. Suppose v + 0*v - 4 = 0. Solve -v*k = -k - f for k. 5 Let p = -17 + 25. Solve p*h - 3*h = 0 for h. 0 Suppose -3*t = t, -5*b + 10 = 3*t. Solve 10 = 2*c + b for c. 4 Suppose -21*p + 16 = -19*p. Solve -8*n - p = -10*n for n. 4 Suppose -2*n + 3*y = 3, -4*n + 3*n - 9 = -3*y. Let b be (3 + (-
{ "pile_set_name": "DM Mathematics" }
? -9 Which is the closest to 5? (a) 0.3 (b) 0.13 (c) 0.059 (d) -0.5 (e) 2 e Which is the nearest to 0? (a) 2 (b) -33/76 (c) 9 b What is the closest to -1/2 in 1, -681, -7? 1 Which is the closest to 1/9? (a) 21 (b) -2/9 (c) -0.2 (d) -3 (e) -4 c Which is the nearest to -19/4? (a) -8 (b) 10 (c) -2 (d) 0.5 c Which is the nearest to -289/2? (a) -2 (b) 1 (c) -0.5 a Which is the closest to 0.2? (a) 16906 (b) 2 (c) -0.12 c Which is the nearest to -2? (a) 5 (b) -150 (c) 2.9 c Which is the closest to -23? (a) 1/4 (b) -0.1 (c) 0.6 (d) -147 b Which is the nearest to -0.4? (a) -28 (b) 0.5 (c) -0.05 (d) -0.3 d What is the closest to 1 in -1, 0, 0.03031, 4? 0.03031 What is the closest to 8 in 0.5, 3, -167.3? 3 Which is the nearest to 0? (a) -0.3 (b) 13 (c) -2 (d) 0.01 (e) -3 d What is the nearest to 1 in 1, -617/4, 2/13? 1 What is the nearest to 2/5 in -1/11, 0, -10, 1/12? 1/12 What is the nearest to 1/3 in -97.4, -0.5, -1/4, -2, -4? -1/4 Which is the closest to 83? (a) 43 (b) 0.1 (c) -1 (d) -1/7 a Which is the closest to -173? (a) 5 (b) 2/9 (c) -1/3 (d) -0.7 (e) 1/2 d Which is the closest to -266/9? (a) 0.7 (b) -2/5 (c) -2/11 b Which is the nearest to 10? (a) 0 (b) -24 (c) -0.17 (d) 2 (e) -5 d What is the closest to 0.3 in 63, 3, -1, -4? -1 What is the nearest to -2/3 in -2, -1, 5, -23, 10/7? -1 Which is the nearest to 2/3? (a) 2 (b) 1 (c) -570 b What is the closest to -1 in 2/3, 1, 16, -1282.4? 2/3 Which is the closest to -106? (a) 30 (b) -53 (c) -0.4 b What is the nearest to -1/3 in 2/7, 6, -1/17, 0.4, -6? -1/17 What is the nearest to -197 in 0.1, 2/17, -3/4, -0.3, 0.5? -3/4 Which is the nearest to -4? (a) 26/657 (b) -3 (c) 3 b Which is the closest to 0.1? (a) 1 (b) 0.5 (c) -85971 b Which is the closest to 1? (a) -3/20 (b) -3 (c) 3/89 (d) 4 c What is the closest to 1 in 2/395, 0.4, 0, -6, 2/9? 0.4 Which is the closest to 1659/20? (a) 0 (b) -2/13 (c) -1 a What is the closest to 1/2 in 32, 4.5, 2, 0.4? 0.4 What is the closest to 4 in 4, 3, 11, 1/94? 4 Which is the closest to 0? (a) 6 (b) -2/13 (c) -2/31 (d) -0.5 c Which is the closest to 0.02? (a) -12 (b) 0.22 (c) -5 b What is the nearest to 2 in -2/21, 83, -0.6, -2/5, 0.1? 0.1 What is the nearest to 1 in -0.11, 92, 7, -1, 5? -0.11 Which is the nearest to 10? (a) 10 (b) -4 (c) 5 (d) 0 (e) 2 a Which is the closest to 1? (a) 2/3 (b) -2/3 (c) -1/25 (d) -2/51 a What is the nearest to 184 in 7, -2, 2? 7 What is the nearest to 0 in -0.1, -0.12, -102, 4? -0.1 Which is the closest to -239? (a) -2 (b) 1 (c) 0.5 a Which is the nearest to -29/3? (a) 1 (b) 2/9 (c) -2 (d) -1 c Which is the nearest to 2? (a) 0 (b) -24499 (c) -2 a What is the nearest to -20 in 1.1, -2/7, -337/4? -2/7 What is the nearest to -1 in -0.11, -2/11, -184, -2/7? -2/7 What is the nearest to 2 in 4/11, 1/24, 2, -2, -371? 2 Which is the closest to -0.12? (a) -27 (b) 0.04 (c) 0.08 (d) 0.05 b What is the closest to -0.1 in 1/3, -13, -2, -1? 1/3 What is the closest to 4049 in 0.5, -0.02, -0.2, -19, -1/7? 0.5 Which is the nearest to 0? (a) 8.8 (b) 4 (c) 148 (d) 3 d Which is the nearest to -1/4? (a) -1/4 (b) -1/579 (c) -19 a What is the nearest to 2/17 in 0.3, 1, -3.49? 0.3 What is the closest to 1 in -14, 0.09, 196, -0.3, -3? 0.09 What is the closest to -6201 in -0.4, 0, -4? -4 Which is the nearest to -2? (a) 17 (b) -0.16 (c) -0.06 b What is the nearest to -695 in 0.1, 4, 18? 0.1 Which is the closest to 2/5? (a) 37492 (b) -0.3 (c) 0.5 c What is the closest to 2/11 in 7, -102, -36? 7 Which is the nearest to -7/39? (a) 0.4 (b) 2/39 (c) -27 (d) -2/7 d Which is the closest to 0? (a) 1 (b) -4 (c) -73 (d) -3 (e) -0.04 e Which is the closest to -2/7? (a) -4.56 (b) 18 (c) -0.2 (d) 0.1 c What is the closest to -3/4 in 0.124, -2, 3, -5? 0.124 What is the nearest to -0.125 in -0.5, -10, 1, -1/4, 3? -1/4 What is the nearest to -4/7 in -0.7, 2/11, 0.4, 0.2? -0.7 Which is the closest to 22? (a) 0.9 (b) -1 (c) 6 c What is the nearest to 4/5 in -7, -14/15, 1? 1 Which is the nearest to 1/7? (a) 12 (b) 12/13 (c) -2/3 (d) -2/9 d Which is the nearest to -2? (a) -18 (b) 0.1 (c) 2.84 (d) -7/6 (e) 4 d What is the closest to 2 in -2, 1/44, -1/13, 3, 4? 3 Which is the closest to 1? (a) 0 (b) -2 (c) 3/7 (d) -5 (e) -6198 c What is the closest to 0.06 in 0.3, -3/5, 4/9, 0.2, 1? 0.2 Which is the closest to -1.29? (a) -0.4 (b) -2/11 (c) 31 a What is the closest to -0.2 in -21, 2/13, 4/127, -15? 4/127 Which is the closest to 2? (a) 1209.28 (b) 0 (c) 5 b Which is the closest to -16? (a) 3 (b) 3/467 (c) 2 (d) 3/4 b Which is the closest to -0.273? (a) -1/14 (b) -47 (c) 2/9 (d) -1/3 d Which is the nearest to 24? (a) -1 (b) 2/23 (c) -2/47 b Which is the nearest to 1? (a) 92 (b) -426 (c) 0.1 (d) 3 (e) -2/11 c Which is the nearest to 2? (a) -1/7 (b) 25 (c) 3 (d) 0.4 c Which is the closest to -2/131? (a) 0.08 (b) 2/5 (c) -0.07 (d) 2/7 c Which is the closest to 248? (a) -0.4 (b) 0.2 (c) 7 c What is the nearest to 5/2 in 11, 121, 1/3? 1/3 Which is the closest to 0? (a) 0 (b) 3 (c) 0.157 (d) -0.1 (e) -0.5 a What is the nearest to 2 in 5687, 0, 1/11? 1/11 Which is the nearest to -2? (a) 4 (b) 3/5 (c) -1/3 (d) -28 c Which is the closest to 0.127? (a) 1371 (b) -0.4 (c) -1/5 c Which is the nearest to -4/5? (a) -0.4 (b) 3 (c) 0.1 (d) -2 a What is the nearest to -3 in -0.5, -4, -20374? -4 What is the nearest to 1 in -2, -7, -7.7, 8? -2 Which is the nearest to 1252? (a) 0 (b) -0.8 (c) -13 (d) -5 a Which is the nearest to 0.2? (a) 0.3 (b) 1/8 (c) -0.177 (d) 126 b Which is the closest to 0.4? (a) 1/5 (b) -5/7 (c) 0 (d) -98 a What is the closest to 2439 in -2/11, 0.2, 0.5, 3/4? 3/4 What is the nearest to 1 in 4/3, 17, 4? 4/3 What is the nearest to -177 in -1/24, 1, -3/4, 37, -0.2? -3/4 What is the closest to 13 in -20, 2, 6, 5/3? 6 Which is the nearest to 1? (a) -3 (b) 9.87 (c) 0.2 (d) 0.5 d What is the closest to -14 in -2, 0.4, -2505, -5? -5 What is the nearest to 9 in -4, -1.1, -2/13, -1/7? -1/7 Which is the nearest to -2/9? (a) 28/5 (b) -1/2 (c) -61 (d) 2/3 (e) 5 b What is the nearest to -0.1 in -17, -2/35, -14, -0.3? -2/35 What is the nearest to -32 in 0.1, 4, 1/4, -2/7, 17.4? -2/7 What is the nearest to -2/3 in 2/191, -28.91, 5? 2/191 What is the closest to -1 in 10/29, -2, 4, 0.7, -5? -2 Which is the closest to 0.1? (a) 4/7 (b) 38 (c) -1.3 (d) 2/17 d Which is the closest to 2/27? (a) -4/9 (b) 3 (c) -3/2 a What is the closest to 14 in 5, 3/4, 4, -145? 5 What is the nearest to 1 in -0.3, -0.5, 219, 1? 1 What is the nearest to 1/13 in -0.5, -0.2, 5, -13, 3? -0.2 What is the nearest to -8/7 in 7/8, 3/13, 7/2, 2? 3/13 What is the closest to -4/7 in -1/22, -5, -4? -1/22 Which is the closest to -0.1? (a) -4/9 (b) -0.06 (c) 1/3 (d) -4 b What is the nearest to 0.3105 in 0.07, -1/5, -0.1? 0.07 What is the closest to 1/2 in 1/168, -0.4, -5, 3, 52? 1/168 Which is the nearest to 2? (a) -0.226 (b) 0.29 (c) 0.011 (d) -0.1 (e) 1 e What is the closest to -82 in 1, 1/18, -7/3, -3? -3 What is the nearest to 2/3 in 11, 914/5, 0.1? 0.1 What is the nearest to 2 in 46, -4, 1, -0.5, 68/7? 1 Which is the nearest to -1? (a) -3 (b) 4 (c) 15 (d) 5.7 a What is the nearest to -3 in 0.1, -1, 2, -85, -31? -1 Which is the nearest to 20? (a) -3 (b) -4 (c) -2/71 (d) 2 d What is the nearest to 0 in 19, 2/21, -0.039? -0.039 Which is the nearest to 0.4? (a) 49 (b) -1/2 (c) -2 (d) 0 d Which is the closest to -2/3? (a) -0.5 (b) -4 (c) 0.5011 (d) 4 a What is the nearest to -797 in -2, -0.3, -0.1, 0, -0.2? -2 What is the nearest to -11 in 547, -3, -1? -3 What is the nearest to 2/3 in -1/5, 0.06, 2, 5099? 0.06 What is the nearest to -57 in -3, -1.1, -2.4, -5? -5 What is the closest to -0.7 in 0.3, -264, -1/4, 2/7? -1/4 What is the nearest to 3 in 5, -6, -2/183, 2? 2 What is the nearest to 0.1 in 0.038, 145, -3/2, -1? 0.038 Which is the closest to -1/3? (a) -4 (b) -0.1 (c) 7 (d) -1/7 (e) -2/9 e Which is the closest to -0.1? (a) -74.2 (b) -0.5 (c) -0.17 (d) 1 (e) 4 c Which is the nearest to -185? (a) -0.3 (b) 3/8 (c) -3/4 c Which is the closest to 4/1093? (a) 19 (b) 2/5 (c) -
{ "pile_set_name": "DM Mathematics" }
(a) = -124*a + 3350. Let j be u(27). Solve j*o + o = q for o. 0 Let x(m) = 3*m + 159. Let t be x(-43). Suppose 172*c = 174*c - t. Solve -o - c = -6*o for o. 3 Let i be 108/(-486) - (-2)/(-18)*-20. Suppose -10 = -2*j + 5*n, i*n + 10 = 2*j + 7*n. Solve 11 + 14 = -j*q for q. -5 Suppose -2*v + 288 = 4*i, 5*i + 89*v - 86*v = 359. Solve 55*p - i = 37 for p. 2 Let w(o) = 53*o - 77. Let z be w(8). Let l = 352 - z. Suppose 3*q = 2*n - q - 6, 3 = 2*n - q. Solve 0 = -l*b - n - 19 for b. -4 Let u be (18/12)/(5533/(-396) - -14). Solve 73*g = 91*g + u for g. -3 Let z be 1 + 5 + 37/(148/336). Solve 0 = -24*x + 9*x + z for x. 6 Let d = 27 - 23. Let i = 6 + -33. Let t = -1 - i. Solve -d*m + 6 - t = 0 for m. -5 Let y be (10 - 5) + ((-10)/(-6))/(17/(-51)). Solve y = 13*o + 21*o + 102 for o. -3 Let m(n) = -2*n**3 - 16*n**2 - 14*n - 3. Let c(r) = 3*r**3 + 31*r**2 + 28*r + 5. Let u(y) = -3*c(y) - 5*m(y). Let p be u(14). Solve p*t + t = 1 for t. 1 Let m(i) = -i**2 - 72*i - 165. Let c be m(-69). Let o = 22 - -14. Let y = c - o. Solve y = 2*w + w for w. 2 Let v be (-682)/55*390/(-12). Let y = v + -403. Solve y = k + 1 - 5 for k. 4 Let v(q) = -2*q**2 + 39*q + 476. Let i be v(28). Solve i = -19*d + 13*d + 24 for d. 4 Let l = 8083 + -8070. Solve -54*y + 67*y + l = 0 for y. -1 Suppose 96 = 2*r - d + 74, -5*d - 5 = 5*r. Solve 4*o = r*o + 12 for o. -4 Let h(o) = -32*o - 2066. Let x be h(-65). Solve -11*i + x - 58 = 0 for i. -4 Let l(c) = 63*c - 5 - 59*c + 17 + 8. Let h be l(-6). Let g = 11 + h. Solve g = -2*d - 1 for d. -4 Suppose -3*f = -2*y + 73, 4*y - f + 3*f - 154 = 0. Suppose -4*s + s = -2*i + 22, 2*s = 3*i - y. Suppose -15761*j + 15760*j + 2 = 0. Solve -3*n + j = i for n. -4 Let w be (320/12)/5*(3/2)/(-1). Let g(c) = -4 - 4 - c + 0. Let v be g(w). Solve -4 = -4*f - v*f for f. 1 Let u(c) = 104*c + 219. Let n be u(-2). Solve 19*z = n + 8 for z. 1 Suppose -4*b - l = 8, 27*b - 40 = 32*b + 5*l. Solve b = -970*q + 955*q - 75 for q. -5 Let c be (6 - -2 - 5)/((-6)/(-154)). Solve -c = 980*l - 991*l for l. 7 Suppose -7*d + 33*d - 21840 = 0. Solve -d*r = -841*r + 6 for r. 6 Let o(z) = 95*z**2 - 221*z - 220. Let x be o(-1). Solve 14*m + 12 - x = 0 for m. 6 Let u be 0/6 + (2 - -1). Suppose 0 = -u*j + j - 4*a - 4, -1 = -4*j + a. Suppose d + 1 = 3. Solve j = p - d*p + 3 for p. 3 Suppose 162 = 2*j + t, -2*j + 162 = -3*t - t. Solve j*q = 148 - 472 for q. -4 Let j be 1 - (1 + -16 + 2). Solve 0 = 8*n - j*n - 30 for n. -5 Suppose 4 = 3*i + 3*c - 2, -2*c = -4*i + 26. Suppose -2*a + 2*r - 4*r = 8, -4*a - 3*r = 16. Let w = 6 + a. Solve w - i = -3*h for h. 1 Let r(s) = 17*s - 15. Suppose 5*n + 5*d - 15 = 0, 3*n = 7*n - 2*d. Let f be r(n). Solve -10*h + 9*h - f = 0 for h. -2 Suppose 232 + 216 = 70*n - 1442. Solve 2*a + 7*a - n = 0 for a. 3 Suppose -143*o + 38937 = 3044. Solve 21 = -254*l + o*l for l. -7 Let s = -188 + 171. Let t(g) = 12 - 4*g**2 - 16*g + 11 + 3*g**2. Let z be t(s). Solve -4*f - 2 - z = 0 for f. -2 Suppose 0*k - 2*k = 4*i + 716, -k = i + 178. Let m be (2 + (-16)/(-6))*i/(-35). Suppose m*a - 26*a + 6 = 0. Solve a = -j - 0 for j. -3 Let u(k) = 2*k**2 - 2*k - 4. Let a be u(3). Let s be (-1*4/8)/(-1)*a. Suppose -h + 1 = -v - s, 4*h + 2*v - 2 = 0. Solve 5*q = 4*q + h for q. 2 Let g(u) = -5*u - 23*u**2 + 26*u**2 + 19*u + 8. Let y be g(-4). Solve -r - 1 = -y*r for r. -1 Suppose 3*p - 10*c - 11 = -8*c, 2*p - 4*c = 10. Suppose p*h = -745 + 763. Let f = 15 + -11. Solve 5*u = -f - h for u. -2 Suppose x - 3 = -2*x, 5*x = i. Let s(b) = b**3 + 5*b**2 + 3*b + 3. Let j be s(-4). Let q = -80 - -82. Solve -q*v = -j*v - i for v. -1 Let m(x) = -2*x**3 + 68*x**2 + 72*x - 40. Let c be m(35). Let b be 15/(c/4)*5/2. Solve -4 + b = -r for r. -1 Suppose -27*z = -25*z - 3*t + 194, -3*t - 443 = 5*z. Let b = 96 + z. Solve 4*o - b = 3 for o. 2 Let l be (-61)/(-5) - (-8)/(-24 + -16). Solve 18*r = 12*r - l for r. -2 Let j be (4/(-3))/((-1)/12) - 4. Suppose y = 4*y - j. Solve p = -y + 5 for p. 1 Let f be 4*(-7)/(-56)*142. Suppose -f = -8*s + 9. Solve s = 3*g - 5*g for g. -5 Suppose 14 = 10*i + 4. Suppose i + 24 = 5*k. Let d = 33 - 19. Solve 11 + d = -k*l for l. -5 Suppose -9*l - 3 = -12*l. Let y be (-1*(l + -1))/(57 - 54). Solve y = -72*m + 67*m + 5 for m. 1 Let a(t) = 54*t - 3152. Let d be a(60). Solve 82*s + 30 = d*s for s. 5 Suppose 2*j - 3*q + q - 18 = 0, 5*j - 4*q = 41. Let o be (120/28)/j*(-3 - -10). Let i be (-4)/o*-6 + -2. Solve -4 = i*b + 4 for b. -4 Let h be 56/(-8) - -7 - (-785)/(-5). Let v = h - -161. Solve -v - 5 = 3*q for q. -3 Suppose 0 = -3*g - 3*t + 42, -g = -0*t + 5*t - 34. Suppose 0 = -2*l - 0*k + 2*k + 6, 3*l - g = k. Solve -l*m = 6*m for m. 0 Suppose 166*s - 57915 = -185*s. Solve -d = 32*d + s for d. -5 Let n(z) = z**3 + 9*z**2 - 12*z + 18. Let l be n(-9). Let y = -120 + l. Solve -y*p - 8 = 2*p for p. -1 Let o = -5 + -1. Let j be o/27 + (-29)/(-9). Let t = 124078 + -124077. Solve j*r - 4*r = -t for r. 1 Let k be 10332/546 - 2/78*-3. Solve -43*b = -62*b - k for b. -1 Suppose -3*x - 2*f = -14, 45 = 2*x - 2*f + 49. Solve 0 = -16*w - 62 - x for w. -4 Let y be -14 + 3 - -10 - 1*-5. Suppose y*q - 163 + 143 = 0. Solve -q*g + 0*g = 10 for g. -2 Let p be 1/(8/4 - (-750)/(-374)). Let q = p - -190. Solve -3 = -q*h + 2*h for h. 3 Let u = 31683 - 31681. Let g(q) = 5*q**2 + 2*q + 1. Let b be g(-1). Solve -t + u*t = b for t. 4 Let d be 10 + (-528)/56 + (-35915)/(-77). Solve -367 + d = 20*i for i. 5 Suppose 0 = 214*l - 31903 + 3227. Solve 120 = 14*b + l for b. -1 Suppose l - 70*a = -74*a + 11, 5*a + 169 = 3*l. Solve l*x = 42*x for x. 0 Suppose l + 3 = 0, k - 3*l = -0*l + 12. Suppose -w + 19 = k. Suppose -4*g + 8 = 4*i, -2*g - 5*i = -66 + 68. Solve -w = g*h - 4 for h. -3 Suppose -2*h - 18*z + 20*z - 12 = 0, 2*z = -4*h + 18. Solve 18*p - h = 19*p for p. -1 Let r be (-133)/(-49) + ((-900)/(-126))/25. Suppose -b = -4*b + 12. Solve a - r = -b for a. -1 Let r = -23 + 48. Suppose -6*z = 5*z + 5*z. Suppose z*n + 5*n - r = 0. Solve -6 = 2*b - n*b for b. 2 Suppose r + 881*v = 882*v + 2, -12*r + 114 = 3*v. Let y(n) = n**3 + n**2 - 2*n. Let c be y(2). Solve -4*q - r = c for q. -4 Suppose 18144 = 89*l - 6*l - 11*l. Solve -50*h - l = 48 for h. -6 Suppose -818*j = -831*j + 182. Solve j*o = 246 - 316 for o. -5 Let w = -12411 + 12462. Solve 0 = -3*t + w - 72 for t. -7 Suppose 4*y - 8 = 4*s, -4*y + 21 = 2*s + 1. Let w = 3073 - 3070. Solve 0 = -w*n - s + 5 for n. 1 Let v = 5990 + -5980. Solve 1826*o - 1831*o - v = 0 for o. -2 Suppose 3*t - 7 = -m, 0 = 4*m - 0*t + t - 28. Let r be m*(8/(-16) + 15/14). Solve -6 = -5*f + r for f. 2 Let s = 22 - -89. Let m(v) = 55*v - 551. Let o be m(8). Let k = o + s. Solve k = c - 4*c + 12 for c. 4 Let i be (20/15)/((-6)/(-189)). Suppose 4*w - 93 = 2*s - 13, -3*s = 3*w - i. Suppose 5*x - 7 = w. Solve -4*r = r - x for r. 1 Let m be (-5142)/((-5)/((-45)/(-99)) - -5). Solve 189 = m*b - 878*b for b. -9 Let r(z) = -117*z**2 - 358*z - 3. Let v be r(-3). Solve 17*o + v = -o for o. -1 Let f be (-282)/(-54) - (-6)/(-27). Suppose 0 = -5*r + b, 3*r + 12 = f*b - 10. Solve 0 = w + r + 2 for w. -3 Suppose -1157 = -3266*k + 3253*k. Solve 37*g = -22 - k for g. -3 Let l be 2/(4/6) - 1. Suppose -93*x + 89*x = s - 44, 2*x = -5*s + 40. Solve -x = -l*f - 0 for f. 5 Let s(p) = 2*p + 6. Let z(k) = k**2 + 2*k - 36. Let i be z(0). Let f = 36 + i. Let w be s(f). Solve 15 - w = -3*j for j. -3 Suppose 0 = -279*c - 145*c + 58512. Solve -168*a = -c*a - 150 for a. 5 Let v be 575/65 + (-10)/(-65) + (-60)/12. Let c(f) = f**3 + 2*f**2 - 2*f - 2. Let n be c(-2). Let d be n/(-2*(-1)/8). Solve -3*m + d = -v for m. 4 Let p = 95 - 93. Suppose p*f = 2 + 40. Suppose f - 18 = a. Solve 2*i - a = -i for i. 1 Let s(x) = 21*x**2 + 34*x - 76. Let n be s(2). Solve 25*h - 201 + n = 0 for h. 5 Suppose -45 = -3*c - 3*s, 5*c + 4*s = -0*s + 75. Suppose c - 9 = x. Let u be (x/5)/((-3)/(-10)). Solve -m - 3*m = u for m. -1 Suppose 4*w + 4 + 0 = 0. Let r(d) = 9*d**3 + 3*d - 2. Let b(a) = 13*a**3 + 4*a - 3. Let j(s) = -5*b(s) + 7*r(s). Let z be j(w). Solve -4 = z*g - 3*g for g. 4 Let j(s) = 32*s + 914. Let h be j(-28). Solve -h = -99*p + 105*p for p. -3 Let o = -171 - 139. Let z = o - -331. Solve -18*a - 6 = -z*a for a. 2 Let i be (-12)/(-28) - (-54)/21. Let g be (4/i)/(22/33). Solve h + g*h = 0 for h. 0 Let n(r) = r + 7. Let k be n(-6). Let f
{ "pile_set_name": "DM Mathematics" }
ive of -3*v**4 + 143*v**2/2 - 4677*v + 7221. What is the first derivative of k(f) wrt f? -36*f**2 + 143 Let j(f) be the second derivative of f**7/21 - 227*f**6/30 + 4*f**4 - f**2/2 + 13*f - 51. What is the third derivative of j(w) wrt w? 120*w**2 - 5448*w Let i(s) = 431*s**3 + 6*s**2 - 6*s + 1481. Let u(d) = 12*d**3 - d**2 + d + 1. Let r(b) = -i(b) - 6*u(b). Differentiate r(f) wrt f. -1509*f**2 Let t(s) be the third derivative of -8039*s**6/120 + s**4/6 - 1939*s**3/6 - 40*s**2 - 2*s + 4. What is the second derivative of t(h) wrt h? -48234*h Suppose -5*g - 5*j + 25 = 0, 5 = 2*g + g - 2*j. What is the third derivative of -12*n**2 + 74*n**g + 25 - 16 - 119*n**3 wrt n? -270 What is the third derivative of 18*o**4 + 261*o**2 + 378*o**2 + 762*o**2 - 60*o**2 - o**3 - 97*o**2 wrt o? 432*o - 6 Let n(q) = -21075*q**2 + 4341*q - 14. Let v(w) = 14050*w**2 - 2927*w + 10. Let d(a) = 5*n(a) + 7*v(a). Find the second derivative of d(k) wrt k. -14050 Suppose 3*k + 10 = 5*y, 0 = 3*y - 4*y - 5*k + 2. What is the second derivative of -29 - y*r - 29*r**3 + 37 - 26*r**3 wrt r? -330*r Let z(i) be the second derivative of i**8/28 + 3*i**5 - 3515*i**4/12 - 4*i - 4. Find the third derivative of z(b) wrt b. 240*b**3 + 360 Find the second derivative of -160 + 6711*b - 160 - 3110*b**4 - 240 - 3356*b - 3353*b wrt b. -37320*b**2 Differentiate 750*h**2 + 161*h**4 - 10109 + 99 - 374*h**4 + 208*h**4 wrt h. -20*h**3 + 1500*h What is the second derivative of 1 - 581*o**2 - 551*o**2 + 3*o - 1 + 3 - 2 wrt o? -2264 Let b(r) = 2*r**2 + r. Let d be b(-3). What is the third derivative of -3 - 12 + d + 2*o - 73*o**2 + 105*o**4 wrt o? 2520*o Let w(c) = c**3 + 9*c**2 - c + 29. Let l be w(-9). Find the second derivative of -l*g**2 + 2 + 173*g + 0 + 8 - 171*g wrt g. -76 Let i(f) = 54*f + 34. Let n(b) = 109*b + 59 + 219 + 646*b + 197. Let q(j) = 55*i(j) - 4*n(j). Find the first derivative of q(k) wrt k. -50 Differentiate 285*g + 89 - 171*g - 856*g - 756*g + 594 wrt g. -1498 Let t(r) = -36564*r - 23661. Let b(s) = -6094*s - 3943. Let j(o) = -17*b(o) + 3*t(o). Differentiate j(i) with respect to i. -6094 Suppose 0*i = 3*i - 12. What is the first derivative of -118*p**i + 14*p**3 - 117 + 24*p**3 - 38*p**3 wrt p? -472*p**3 Let c(p) be the third derivative of -p**7/30 - 47*p**4/24 + 2707*p**3/6 + 349*p**2 - 4*p. Differentiate c(j) with respect to j. -28*j**3 - 47 Let g be ((-44)/(-66))/((-4)/(-42)). Suppose -2*t = -g*t + 190. What is the third derivative of -88*i**2 + t*i**2 - 28*i**4 + 47*i**2 wrt i? -672*i Let w = -433 - -433. Let q be (6/5)/((-8)/(-60)). Differentiate -28 + w*s + 3*s - 4*s - q wrt s. -1 Let w(j) = -5470*j**3 - j**2 + 1845*j + 5. Let l(t) = -2735*t**3 - t**2 + 922*t + 3. Let r(d) = 5*l(d) - 3*w(d). Find the third derivative of r(q) wrt q. 16410 Find the second derivative of 607*n - 6 + 524*n**2 + 3 + 3 - 491*n**2 + 51*n**3 wrt n. 306*n + 66 Suppose -3*w = -4*o + 19, 0*w + 4*w = 3*o - 16. What is the third derivative of 594*a**6 + o*a**3 - 12*a**3 - 600*a**6 - 2 + 0*a**2 + 18*a**2 wrt a? -720*a**3 - 48 What is the derivative of -5*c - 7775*c**3 + 5*c + 3280 + 5571 - 2853 wrt c? -23325*c**2 Let s(a) be the third derivative of 1517*a**4/24 - 667*a**3/3 + 16*a**2 - 28*a. What is the first derivative of s(u) wrt u? 1517 Let i be (1 + 0)*(-4 + 4). Suppose 2*k - k - 3 = i. What is the third derivative of 5*b**2 + 13*b**2 + 3*b**3 - 8*b**k wrt b? -30 Suppose -u = -2*u + 6. Suppose -188*p + 186*p + 16 = 0. What is the third derivative of 0 + p + 26*c**2 - 8 + c**u wrt c? 120*c**3 Let k(n) = -5240*n**3 + 5*n**2 - 4*n - 2359. Let d(w) = -w**3 - w**2 + w - 1. Let f(r) = 5*d(r) + k(r). What is the derivative of f(q) wrt q? -15735*q**2 + 1 Let y = -181 + 182. Find the second derivative of -y - 61*q - 47*q**2 - 2 + 1 + 67*q wrt q. -94 What is the second derivative of 333957*k**2 + 683*k**3 - 333957*k**2 + 2 - 8*k wrt k? 4098*k Let y(x) be the second derivative of 4489*x**5/20 - x**4/2 + 71*x**3/3 + x**2 + 2114*x + 2. What is the third derivative of y(d) wrt d? 26934 Find the third derivative of 2*b**2 - 6*b**5 + 2457 + 11275*b**4 - 11459*b**4 - 10*b**5 wrt b. -960*b**2 - 4416*b Find the third derivative of 5148609*k**4 - 5148359*k**4 - 653*k**2 - 267*k**2 - 2*k**3 wrt k. 6000*k - 12 Let w(g) be the second derivative of 0 + 0*g**2 + 109/6*g**3 - 1/10*g**5 + 1/12*g**4 - 64*g. What is the second derivative of w(l) wrt l? -12*l + 2 Suppose -y - 2*z + 0*z + 52 = 0, 5*y = z + 304. Let a be 3/(-1)*(-40)/y. What is the derivative of 15 + 36*t**a - 36*t**2 + 20*t**4 wrt t? 80*t**3 Suppose 12 = 2*s + 20, 0 = -2*j + 3*s + 16. What is the second derivative of -56*y**2 - 61*y**2 + j*y**2 + 19*y**2 + 58*y - 13*y**2 wrt y? -218 Let n(t) be the first derivative of 48*t**6 + 12*t**5/5 + 5445*t**2/2 + 2479. What is the second derivative of n(i) wrt i? 5760*i**3 + 144*i**2 Let x(j) be the third derivative of -197*j**7/105 - j**6/60 - j**5/60 + 52*j**3 - 790*j**2. Find the third derivative of x(v) wrt v. -9456*v - 12 What is the second derivative of -1862*v**4 + 3703*v**4 - 1846*v**4 + 4*v**2 + 11*v**2 + 1410*v wrt v? -60*v**2 + 30 Suppose 56*j = 55*j + 10. Find the third derivative of -8*g**4 + 6*g**4 + 2*g**2 - 4*g**3 + g**4 + 20 + j*g**3 wrt g. -24*g + 36 Suppose 10*m = 13*m + 6. Let b be 30*(m - 13/(-5)). What is the derivative of -19*j**3 + 4 - b*j**3 + 31*j**3 wrt j? -18*j**2 Let q(j) be the second derivative of -59*j**6 - 421*j**4/12 + 2*j - 580. What is the third derivative of q(x) wrt x? -42480*x Let f(p) be the third derivative of 293*p**7/210 + p**4/12 - 31*p**3/6 - 2*p**2 + 18*p. What is the second derivative of f(o) wrt o? 3516*o**2 Suppose -16 = 5*x + 4*l, -5*l - 8 = -3*l. Let p = 4 - x. Find the second derivative of 8*r + 7*r**4 + 12*r**p - 7*r**4 wrt r. 144*r**2 Let p(r) be the second derivative of -r**4/12 + 1307*r**3/6 + 990*r**2 - 6247*r. What is the first derivative of p(g) wrt g? -2*g + 1307 Suppose 19 = p + 15. Suppose 0 = -3*u + p*u - 5. What is the second derivative of 2*l + l**5 - l + 8*l**5 + 4*l**u wrt l? 260*l**3 Let q(n) be the second derivative of 0 - 9*n + 1/42*n**7 + 0*n**2 - 14/15*n**6 + 1/12*n**4 + 0*n**5 + 34/3*n**3. Find the third derivative of q(h) wrt h. 60*h**2 - 672*h Let q(s) = 7 - 24 + 9 + 7 + 3*s**2. Let d be q(1). Differentiate 13 - 26*m**d - 29 + 5 with respect to m. -52*m Find the first derivative of -144*i - 132*i - 14*i**3 - 7*i**2 + 276*i + 1009 wrt i. -42*i**2 - 14*i Let a be (-2)/(16/(-104)) - 8. Find the second derivative of -24*x + 10*x**a + 99*x**5 + 40*x + 108*x wrt x. 2180*x**3 Suppose -8*d - 28 = -22*d. Find the second derivative of 22*s**2 - 66*s**3 - 95*s + 89*s - 20*s**d wrt s. -396*s + 4 Let z be 4/10 - (-40)/25. Find the first derivative of 473*r - 77*r**2 - 473*r - z*r**3 + 6 + 3*r**3 wrt r. 3*r**2 - 154*r What is the third derivative of 614*l**4 + 690*l**4 + 12*l - 1915*l**6 - 330*l**2 - 1304*l**4 wrt l? -229800*l**3 Let n(h) be the first derivative of 10/3*h**3 + 0*h**4 + 0*h**5 + 0*h + 0*h**2 + 11/3*h**6 - 28. Find the third derivative of n(k) wrt k. 1320*k**2 Let s = 19 + -19. Suppose -2*k = w - 5, s*k - 9 = -3*k - 3*w. Find the third derivative of 22*b**k - 242*b**4 + 116*b**4 + 114*b**4 wrt b. -288*b Let j(a) = -a**3 - a**2 - 1. Let z(v) = v**4 - 3*v**3 + 790*v**2 - 355*v - 3. Let s(n) = 3*j(n) - z(n). Find the second derivative of s(i) wrt i. -12*i**2 - 1586 Let o(t) be the second derivative of -t**4/2 - 45*t**3/2 + 2123*t**2/2 - 6524*t. What is the derivative of o(p) wrt p? -12*p - 135 Suppose -380 = 5*g - 0*g. Let y = 88 + g. What is the third derivative of -20*s**3 - y*s**2 + 20*s**3 - 17*s**5 + s**2 wrt s? -1020*s**2 Let i(m) be the first derivative of -29/2*m**4 + 54 + 0*m**2 + 0*m**3 - 79*m. What is the derivative of i(u) wrt u? -174*u**2 Let f(a) = -2*a**3 - 9*a - 3. Let r(m) = 17 + 16*m**3 + 31*m + 23*m - 5*m**3. Let h(k) = -34*f(k) - 6*r(k). What is the second derivative of h(g) wrt g? 12*g Let m(g) be the second derivative of -117*g**5/20 + 5*g**4/12 + 5*g**3/6 - 76*g**2 + 3626*g. What is the second derivative of m(c) wrt c? -702*c + 10 Find the second derivative of -8685*l**2 - 179*l - 174*l + 7539*l**2 wrt l. -2292 Let o be 2/(-4) - (90/12 + -5). Let j be ((-24)/(-9) + o)/(1/(-18)). Find the third derivative of 6*c**6 - 27*c**
{ "pile_set_name": "DM Mathematics" }
of 111243 and 3371. 111243 What is the lowest common multiple of 10048 and 16? 10048 What is the common denominator of -76/10857 and -88/34545? 379995 What is the common denominator of -27/164 and 55/11314? 927748 Calculate the common denominator of 31/50 and -63/70235. 702350 Calculate the lowest common multiple of 6765 and 328. 54120 What is the common denominator of -149/6 and -21/390044? 1170132 Calculate the common denominator of -71/414 and -1/1221. 168498 Calculate the common denominator of 81/10 and 10/707869. 7078690 Find the common denominator of 113/12 and -143/798168. 798168 What is the least common multiple of 108774 and 290064? 870192 Calculate the common denominator of -33/21968 and -56/12357. 197712 What is the common denominator of -131/73410 and 79/44046? 220230 What is the lowest common multiple of 4 and 62374? 124748 Find the common denominator of 61/256 and -47/192. 768 Calculate the smallest common multiple of 4738 and 759. 156354 Find the common denominator of -55/26 and 39/842. 10946 What is the lowest common multiple of 7215 and 31265? 93795 What is the smallest common multiple of 9 and 31527? 31527 Calculate the smallest common multiple of 7278 and 21834. 21834 Find the common denominator of 32/371 and 17/13664. 724192 Calculate the common denominator of 113/7930 and 4/15. 23790 Calculate the smallest common multiple of 4144 and 560. 20720 Calculate the common denominator of 75/261902 and -47/306. 2357118 Calculate the smallest common multiple of 25296 and 126480. 126480 Find the common denominator of -7/1908 and 11/1802. 32436 Calculate the lowest common multiple of 738254 and 14. 5167778 What is the least common multiple of 22704 and 18? 68112 Find the common denominator of 67/338844 and -37/46206. 1016532 What is the least common multiple of 1582 and 40? 31640 Calculate the common denominator of 113/894260 and 87/89426. 894260 What is the least common multiple of 208 and 2968? 77168 What is the least common multiple of 27 and 1413045? 1413045 Find the common denominator of 25/413006 and -31/1032515. 2065030 Calculate the common denominator of 55/36 and 35/180108. 180108 What is the common denominator of -47/7516 and 23/20? 37580 What is the common denominator of -15/74066 and -19/16? 592528 Calculate the least common multiple of 6556 and 60. 98340 What is the smallest common multiple of 795 and 6660? 352980 Calculate the smallest common multiple of 39883 and 5. 199415 Calculate the common denominator of 37/1434 and 1/16491. 32982 Calculate the lowest common multiple of 898889 and 10. 8988890 Find the common denominator of 17/377235 and -19/3636. 1508940 Find the common denominator of 99/4 and -67/151299. 605196 What is the least common multiple of 504 and 37320? 783720 Calculate the lowest common multiple of 1276 and 154. 8932 What is the common denominator of -59/21152 and -23/84608? 84608 What is the common denominator of -1/175473 and -76/5427? 526419 Calculate the least common multiple of 3057 and 105976. 317928 Calculate the least common multiple of 118736 and 72. 1068624 Calculate the least common multiple of 1131 and 9399. 272571 Find the common denominator of 51/185 and -83/6860. 253820 Calculate the lowest common multiple of 1752 and 10680. 779640 What is the smallest common multiple of 844 and 292? 61612 Calculate the smallest common multiple of 679 and 71683. 501781 Calculate the least common multiple of 60 and 30820. 92460 Calculate the smallest common multiple of 285908 and 126. 2573172 Find the common denominator of 85/24 and 43/7029. 56232 Calculate the smallest common multiple of 64812 and 11784. 129624 Calculate the common denominator of 25/702 and -47/214578. 643734 What is the smallest common multiple of 216 and 9612? 19224 What is the lowest common multiple of 323 and 2346? 44574 Calculate the common denominator of 119/108000 and -32/8775. 1404000 What is the smallest common multiple of 20500 and 2050? 20500 What is the common denominator of 99/1778 and 25/112522? 787654 Calculate the smallest common multiple of 598 and 23920. 23920 What is the common denominator of -43/539371 and 67/464? 8629936 Calculate the smallest common multiple of 3575 and 5225. 67925 Find the common denominator of 59/108 and 4/258831. 3105972 What is the common denominator of -97/1056 and -43/6864? 13728 Calculate the common denominator of 179/7110 and -74/43371. 433710 What is the lowest common multiple of 317408 and 96? 952224 What is the common denominator of -29/198 and -65/3888? 42768 Calculate the common denominator of 20/2901 and -73/480. 464160 What is the common denominator of -1/157824 and -25/167688? 2683008 Calculate the smallest common multiple of 519 and 17385. 3007605 Find the common denominator of -97/8 and 77/48436. 96872 What is the common denominator of -58/606711 and 24/77? 6673821 What is the common denominator of -73/25792 and 41/51584? 51584 Calculate the common denominator of 23/646 and -85/8. 2584 Calculate the common denominator of 53/22968 and -103/1276. 22968 Calculate the smallest common multiple of 154 and 32459. 714098 Find the common denominator of -37/578616 and -79/867924. 1735848 What is the lowest common multiple of 351725 and 112552? 2813800 Calculate the lowest common multiple of 12324 and 4740. 61620 Calculate the common denominator of -91/6 and -53/224528. 673584 Calculate the smallest common multiple of 1272 and 2544. 2544 What is the least common multiple of 5436 and 5? 27180 What is the least common multiple of 17847 and 24? 142776 Find the common denominator of -85/4788 and 73/63. 4788 What is the lowest common multiple of 99363 and 3? 99363 Calculate the lowest common multiple of 324441 and 7. 2271087 What is the smallest common multiple of 16156 and 924? 533148 Calculate the lowest common multiple of 72852 and 28020. 364260 Calculate the common denominator of 73/33 and -29/825. 825 Calculate the common denominator of 115/252 and 79/7722. 108108 What is the common denominator of 13/12 and 149/1214808? 1214808 What is the common denominator of -57/17066 and -109/12190? 85330 What is the common denominator of -101/5592 and -79/1834? 5127864 What is the common denominator of -49/20730 and -173/20730? 20730 Calculate the smallest common multiple of 2 and 211. 422 Calculate the common denominator of 101/63462 and 2/7555. 317310 What is the lowest common multiple of 3751 and 217? 26257 Calculate the common denominator of -157/114720 and 179/43020. 344160 What is the common denominator of 91/10896 and 45/14528? 43584 What is the smallest common multiple of 65192 and 34? 1108264 Calculate the lowest common multiple of 100 and 500. 500 Find the common denominator of 93/3036944 and -85/32. 6073888 Calculate the least common multiple of 25782 and 36. 154692 Calculate the common denominator of -8/81 and -82/9735. 262845 What is the lowest common multiple of 9296 and 24? 27888 Find the common denominator of -13/141 and -13/12426. 584022 Calculate the common denominator of 13/209 and 41/253. 4807 Calculate the common denominator of -47/226824 and 37/13086. 680472 Calculate the common denominator of -37/26841 and 38/3. 26841 Calculate the smallest common multiple of 2163 and 120716. 2535036 What is the common denominator of -95/5828 and 61/20? 29140 Calculate the common denominator of 67/245888 and 3/245888. 245888 Find the common denominator of 41/8 and -27/285761. 2286088 What is the smallest common multiple of 532485 and 177495? 532485 Calculate the smallest common multiple of 7070 and 1750. 176750 What is the least common multiple of 336064 and 704? 3696704 Find the common denominator of -23/20088 and 41/372. 20088 Calculate the smallest common multiple of 1320 and 704. 10560 Calculate the common denominator of -35/6 and 56/131079. 262158 Find the common denominator of 77/36900 and 109/900. 36900 Calculate the common denominator of 17/8 and -49/182648. 182648 Calculate the common denominator of -16/13 and 36/10451. 135863 What is the lowest common multiple of 401849 and 114814? 803698 Calculate the common denominator of 11/9642 and 39/23. 221766 Calculate the lowest common multiple of 12112 and 18. 109008 What is the least common multiple of 17304 and 1554? 640248 Calculate the lowe
{ "pile_set_name": "DM Mathematics" }
*4/3 - 4*d. What is k(c(p))? 4*p**2 Let o(k) = -k. Let l(p) = 24*p + 9. Let r(m) = m + 1. Let i(w) = -l(w) + 9*r(w). Calculate i(o(h)). 15*h Let a(z) = -2*z. Let u(j) be the third derivative of -3*j**2 + 0*j**3 - 1/24*j**4 + 0*j + 0. Determine u(a(k)). 2*k Let j(z) = -3*z**2. Let k be (-2)/(6/(-9)) + 2. Let c(y) = -y - k*y + 5*y. Calculate c(j(p)). 3*p**2 Let u(i) = -i. Let d(z) = -14*z**2 - 9*z + 9. Let c(q) = -q**2 - q + 1. Let n(f) = 18*c(f) - 2*d(f). What is u(n(l))? -10*l**2 Let w(f) = 1. Let a(g) = 2*g - 11. Let k(o) = -2*a(o) - 22*w(o). Let h(u) be the third derivative of -u**4/12 - 2*u**2. Give h(k(l)). 8*l Let h(o) = -21*o. Suppose -108 = -6*z - 36. Let u(k) = -k. Suppose -4 = 3*f + f. Let m(r) = f*h(r) + z*u(r). Let y(a) = -a. What is m(y(i))? -9*i Let f(n) = -7*n**2 - 2*n. Let b(q) = q**2 + 12*q + 6. Let g(p) = -p**2 - 10*p - 5. Let l(m) = -5*b(m) - 6*g(m). What is l(f(k))? 49*k**4 + 28*k**3 + 4*k**2 Let p(o) = -2 + 2*o + 2. Let l(x) be the first derivative of 3*x**2/2 - 19. What is l(p(m))? 6*m Let w(v) be the second derivative of v**4/12 - 6*v. Suppose 3 = -u + 5. Let p(d) = d**2 - 4*d**2 + d**u. What is p(w(j))? -2*j**4 Let i(a) be the first derivative of a**3 - 12. Let j(v) = -v. Determine j(i(h)). -3*h**2 Let f(t) be the third derivative of -t**4/24 + 2*t**2. Let b(d) = -2*d**2. Determine b(f(o)). -2*o**2 Let k(q) = 4*q**2. Let a(t) = 51 - 30 - 21 - 2*t. Determine k(a(o)). 16*o**2 Let q(r) be the third derivative of r**4/12 + 5*r**2. Let h(b) = -8*b**2. Give h(q(v)). -32*v**2 Let k(l) = 3*l**2 - 2*l - 2. Let f(h) = 4*h**2 - 3*h - 3. Let o(q) = -2*f(q) + 3*k(q). Let v(a) = -28*a. Determine o(v(c)). 784*c**2 Let o(m) = -10*m**2. Let z(q) = 9*q - 3. What is z(o(c))? -90*c**2 - 3 Let v(s) = -s + 1. Let d(c) = -3*c + 4. Let u = 3 + -7. Let k(a) = u*v(a) + d(a). Let j(r) = -4*r**2. Calculate k(j(z)). -4*z**2 Suppose z + 15 = 4*v, z - 13 = -5*v + 8. Let g(d) = -d + 4*d - v*d + 0*d. Let i(q) = -3*q. What is i(g(x))? 3*x Let d(v) = -2*v. Let u(j) = -12*j**2 - 3. What is u(d(a))? -48*a**2 - 3 Let i(s) be the first derivative of -7*s**2/2 - 3. Let j(f) = 2*f**2. Determine j(i(k)). 98*k**2 Let x(l) = 42*l. Let d(w) = 32*w. Give x(d(j)). 1344*j Let z(x) = x**2. Let v(g) = -9*g**2 - 7*g. Let i(l) be the third derivative of -l**5/60 - l**4/24 - l**2. Let j(f) = 14*i(f) - 2*v(f). Calculate j(z(s)). 4*s**4 Let b(i) = 7*i - 1. Let v(s) = -s - 1. Let l(g) = 2*b(g) - 2*v(g). Let k(o) = o. What is l(k(j))? 16*j Let q(w) = 15*w - 25*w + 4*w. Let d(z) = z**2 + z. Let t(k) = 7*k**2 + 6*k. Let f(g) = 6*d(g) - t(g). What is q(f(v))? 6*v**2 Let g(a) be the third derivative of a**4/24 - a**2. Let r(v) = -2*v. Calculate r(g(i)). -2*i Let c(x) be the first derivative of -x**6/360 - x**3 - 3. Let s(m) be the third derivative of c(m). Let r(i) = 2*i. Give s(r(f)). -4*f**2 Let l(x) = -2*x - 3. Let g(i) = 1. Let q(f) = -3*g(f) - l(f). Let s(a) = 5*a**2 - 7. Determine s(q(u)). 20*u**2 - 7 Let v(n) be the third derivative of n**5/15 - 44*n**2. Let t(k) = -5*k + 2*k + 0*k. Calculate v(t(x)). 36*x**2 Let t(g) = -10*g - 8*g + 16*g. Let x(s) = -2*s**2. Give x(t(p)). -8*p**2 Let u(h) = 2*h - 5. Let f be u(4). Let q(b) = 3*b**2 - 2*b**2 - f*b**2 + b**2. Let z(j) = j**2 - 4*j + 4*j. Determine q(z(r)). -r**4 Let p(n) = 47*n**2. Let w(o) = 2*o. Give p(w(z)). 188*z**2 Let r(t) = -2*t + 96. Let i(u) = 3*u. Give i(r(l)). -6*l + 288 Let j(k) = -12*k**2. Let t(m) = -3*m - 2. Give t(j(f)). 36*f**2 - 2 Let n(s) = 3*s + 12. Let w(b) = 17*b**2. What is w(n(q))? 153*q**2 + 1224*q + 2448 Let u(t) = -36*t**2. Let k(x) = -13*x + 8*x + 2*x + 6*x. Calculate u(k(l)). -324*l**2 Let a(k) = 585*k**2. Let b(x) = -2*x. Give a(b(t)). 2340*t**2 Let h(t) = 2*t. Let v = -4 + 8. Let i(g) = -g + g + v*g + g. Give h(i(s)). 10*s Let o(t) be the third derivative of 0*t**4 - 1/30*t**5 - 2*t**2 + 0*t**3 + 0 + 0*t. Let a(l) = -3*l**2. Determine o(a(m)). -18*m**4 Let z(p) = p**2 - 131. Let i(m) = -4*m. Determine z(i(u)). 16*u**2 - 131 Let w(f) = -28*f**2. Let r(d) = -d + 3*d + 4 - 4. Calculate r(w(z)). -56*z**2 Let v(m) = 33*m**2. Let n(a) = -2*a. What is n(v(d))? -66*d**2 Let b(o) = 2*o. Let i(k) be the first derivative of k**5/120 + 2*k**3/3 - 1. Let j(g) be the third derivative of i(g). Calculate b(j(r)). 2*r Let j(d) = -58*d + 3*d**2 + 0*d**2 + 58*d. Let v(l) = 2*l + 0*l - l. Determine j(v(b)). 3*b**2 Let i(x) = -9*x**2 - 6*x - 6. Let c(v) = -9*v**2 - 5*v - 5. Let k(n) = -6*c(n) + 5*i(n). Let s(z) = -z**2. What is k(s(u))? 9*u**4 Let d(a) = -5*a + 4*a - 6*a. Let j(x) be the first derivative of 2*x**3/3 + 4. What is j(d(k))? 98*k**2 Let a(t) = 5*t**2 + 8*t. Let u(k) = -6*k**2 - 9*k. Let y(q) = 7*a(q) + 6*u(q). Let c be y(2). Let p(g) = -g + 0 + c. Let r(m) = -m. Determine r(p(n)). n Suppose -4*s + 7 = -c, -6*c + c + 45 = -4*s. Suppose -x + c = 5. Let b(f) = -3*f + x*f - 3*f. Let h(q) = 2*q. What is h(b(o))? 4*o Let t(u) be the third derivative of -1/30*u**5 + 0 + 0*u**3 + 0*u**4 + 0*u - u**2. Let n(j) = 6*j - 1 + 1 + j. Give t(n(k)). -98*k**2 Let u(l) be the second derivative of -l**3/3 - 35*l. Let r(o) = 3 - 3 + 3*o. What is u(r(w))? -6*w Let s(k) = -2*k**2. Let b(p) = 15*p**2 + 10*p**2 - 24*p**2. Calculate b(s(v)). 4*v**4 Let m(z) = -2*z**2 + 15*z. Let l(a) = -6*a. What is l(m(g))? 12*g**2 - 90*g Let f(h) = -5*h**2. Let u(n) = -20*n**2. What is u(f(k))? -500*k**4 Let a(b) = -9*b**2. Let d(w) = -7*w**2. Determine d(a(r)). -567*r**4 Let p(g) = -1 + 8*g**2 - 1 + 2. Let u(b) be the third derivative of -b**5/30 + 10*b**2. Determine u(p(o)). -128*o**4 Let k(y) = -y**2 - 10*y - 3. Let j be k(-6). Let z(h) = -4*h**2 + 21 - j. Let r(f) = 2*f**2. Determine r(z(d)). 32*d**4 Let r(m) = -6*m - 1. Let d be r(-1). Let z(p) = -4*p + d*p + 0*p. Let l(j) = 3*j. What is l(z(u))? 3*u Let c(k) = -17*k + 3*k**2 + 17*k. Let z(p) = -p + 0*p - p - 4*p. What is z(c(w))? -18*w**2 Let w(y) = -3*y**2 - 5. Let d(l) be the first derivative of 5*l**3/3 + 7*l - 3. Let g(p) = 5*d(p) + 7*w(p). Let v(u) = -u + 4*u - u. Calculate v(g(x)). 8*x**2 Let q(h) = -3*h - 2*h + h. Let c(b) = -b. Give c(q(w)). 4*w Let j(b) = -399*b**2. Let h(w) = 25*w**2. Let r(d) = -95*h(d) - 6*j(d). Let o(q) = -2*q**2. Determine o(r(f)). -722*f**4 Let j(a) = -4*a. Let m(h) = -4 + 0 + 0 + h. Let c be m(6). Let s(q) = -2*q + c*q - q. What is j(s(r))? 4*r Let a(k) = -12*k. Let j(u) = 13*u. Let q(t) = -4*a(t) - 3*j(t). Let i(m) = -m. Calculate i(q(g)). -9*g Let v(h) = -110 + 2*h**2 + 110. Let o = 3 + -2. Let m(q) = -q**2 + 1. Let r(c) = -c**2 - 4. Let i(s) = o*r(s) + 4*m(s). What is i(v(l))? -20*l**4 Suppose 0 = -3*w + 4 + 2, -z = 5*w - 12. Let l(d) = -d - z*d - 2*d. Let v(i) be the first derivative of -2*i**3/3 - 6. Give v(l(m)). -50*m**2 Let b(c) = 5*c**2 - 4*c - 4. Let r(x) = 24*x**2 - 21*x - 21. Let s(n) = -21*b(n) + 4*r(n). Let m(w) = 2 - 2 - 7*w + 8*w. Determine s(m(q)). -9*q**2 Let p(x) = x**2. Let n(l) = 2868*l**2. What is n(p(w))? 2868*w**4 Let k(l) be the second derivative of l**3/3 - 2*l. Let o(q) be the second derivative of q**3/3 - 3*q. What is o(k(h))? 4*h Let b(i) be the third derivative of -i**5/12 - 17*i**2. Let j(o) = -10*o. Determine j(b(t)). 50*t**2 Let y(h) = -2*h**2. Let l(c) = -c**2 - 3*c. Give y(l(u)). -2*u**4 - 12*u**3 - 18*u**2 Let g(w) = 4*w**2. Suppose 15 = 3*t - q - 2*q, 11 = t + 2*q. Let j(a) = -t*a - 10*a - 6*a + 18*a. Determine j(g(o)). -20*o**2 Let v(w) = 5*w. Let q(j) = 8*j**2 + j + 22. Calculate q(v(l)). 200*l**2 + 5*l + 22 Let m(t) = 2*t + 10. Let f(a) = 10*a**2. What is m(f(w))? 20*w**2 + 10 Let q(n) be the third derivative of n**7/5040 + n**5/12 - n**2. Let j(h) be the third derivative of q(h). Let y(u) = -5*u. Determine j(y(t)). -5*t Let x(j) be the third derivative of j**5/30 - 63*j**2. Let s(g) = 21*g**2 + 3. What is x(s(p))? 882*p**4 + 252*p**2 + 18 Let n(b) = b. Let v(i) be the first derivative of 5 - 1/2*i**2 + 0*i. Determine v(n(t)). -t Let i(t) = 6*t. Let h(m) = m**2 - 2*m. Give i(h(u)). 6*u**2 - 12*u Let p = 4 + -2. Let v(x) = x + 3 - p - 1. Let z(h) = -3*h. Calculate z(v(b)). -3*b Let i(l) be the third derivative of l**4/6 - 4*l**2. Suppose 0*m + 3 = 3*m. Let w(f) = -f + m - 1. What is i(w(h))? -4*h Let i(c) be the third derivative of c**4/24 - 9*c**2. Let h(m) = -3*m. Let r(u) = u. Let p(o) = -h(o) - 5*r(o). Det
{ "pile_set_name": "DM Mathematics" }
*r + 220*q - 4*r wrt q. 42*q - 56*r Find the second derivative of c**2*m**3 - 18*c**2*m + 2*c*m - 57*m**3 wrt m. 6*c**2*m - 342*m Find the first derivative of f*u**2 - 14*f*u - 1304*f - u wrt u. 2*f*u - 14*f - 1 What is the second derivative of -2*d**3*h**2 + 21*d**3 + 4*d**2*h**2 - 62*d*h**2 - 3*h**2 wrt d? -12*d*h**2 + 126*d + 8*h**2 What is the second derivative of 4*k*z**3 - 3*k*z**2 + k*z - 4*k + 2*z**5 + 8*z wrt z? 24*k*z - 6*k + 40*z**3 Find the second derivative of l*y**3 + 11*l*y + 45*l + 302*y**3 wrt y. 6*l*y + 1812*y Differentiate 215*y**3 + 180 with respect to y. 645*y**2 What is the third derivative of g**5 - 384*g**4 + 379*g**2? 60*g**2 - 9216*g What is the second derivative of -4*u**4 + u**3 + 127*u**2 + 6*u + 952 wrt u? -48*u**2 + 6*u + 254 Differentiate 2432*d**2 + 3983 with respect to d. 4864*d What is the first derivative of -17*m**2*v*w + 2*m*v*w - 7*m*v + 360*v*w + 2*w wrt m? -34*m*v*w + 2*v*w - 7*v What is the first derivative of -384*l**3 + 313? -1152*l**2 What is the second derivative of 6683*d**2 + 2507*d wrt d? 13366 What is the second derivative of 241*s**3 + 197*s? 1446*s What is the third derivative of -23*f*i**3 + 2*f - 2*i**3 + 52*i**2 wrt i? -138*f - 12 What is the third derivative of -2*n**6 + 122*n**5 - 4*n**3 - 18*n**2 + n - 60 wrt n? -240*n**3 + 7320*n**2 - 24 What is the derivative of 2*n**3*v + 2317*n**2*v - 426*v - 3 wrt n? 6*n**2*v + 4634*n*v Find the third derivative of 198*r**5*s**2 + 2*r**5 + 4*r**2 - 12*r*s**2 wrt r. 11880*r**2*s**2 + 120*r**2 Differentiate -7*l**2*t + 3*l**2 + 10*l*t + 4*l - 5*t + 1 wrt t. -7*l**2 + 10*l - 5 What is the second derivative of -7*n*s**3*t**2 - 197*n*s**2*t**2 + 45*n*s**2*t + n*s*t + 2*s**3*t - 2 wrt t? -14*n*s**3 - 394*n*s**2 Find the first derivative of 1249*d**3*f - 2279*d**3 wrt f. 1249*d**3 Find the first derivative of 255*g**4 - 230. 1020*g**3 Find the second derivative of 104*c*k**3 + 2*c*k - 15*c - k**5 + 5*k wrt k. 624*c*k - 20*k**3 What is the second derivative of -2*d**2*i**2 - 377*d**2*i*k + 17*d**2 - 2*d*i**4 - 274*i**3*k wrt i? -4*d**2 - 24*d*i**2 - 1644*i*k Find the third derivative of -5*b**5 + 2*b**4 - 9*b**2 - 2*b wrt b. -300*b**2 + 48*b What is the third derivative of -260*g**2*q**3 + 2*g**2 - g*q**3*z + 2*g*q**2 + 11*g + 2*q**3*z + 65*z wrt q? -1560*g**2 - 6*g*z + 12*z Find the second derivative of -6*h**4*l + 4*h**2*l**3*r + h**2*l*r - 2*h*l**3 + h*r + 2*l**2*r - 2 wrt h. -72*h**2*l + 8*l**3*r + 2*l*r What is the derivative of 27*m*s*u - 2*m*u**2 - m*u - 18*m + 2*s*u**2 + 5*s wrt s? 27*m*u + 2*u**2 + 5 Find the second derivative of -23*h**2*o*z**2 - 2*h**2*o + 4*h**2*z**2 - 2*h**2 - h*o*z + 201*o*z wrt z. -46*h**2*o + 8*h**2 Find the second derivative of -231*a**2*b**5 - 179*a**2*b + b**5 wrt b. -4620*a**2*b**3 + 20*b**3 Find the first derivative of -97*r**4*u**2 + 3*r**2*u**3 + 4*u**3 - 117 wrt r. -388*r**3*u**2 + 6*r*u**3 Differentiate -43*c**2*n + 178*c**2 wrt n. -43*c**2 Find the first derivative of 139*n**2*r**4 + 959*n**2 - 3*n*r**4 wrt r. 556*n**2*r**3 - 12*n*r**3 Differentiate j*y**4 + j + 112*y**4 - 1 wrt y. 4*j*y**3 + 448*y**3 What is the derivative of 3*l*w*z**2 - 83*l*w*z + w*z**2 - 17*w + 9*z**2 wrt l? 3*w*z**2 - 83*w*z Differentiate -2*c**2 - 534*c + 285. -4*c - 534 What is the first derivative of 68*x - 193? 68 Find the third derivative of -1536*d**5 - d**4 + 1194*d**2. -92160*d**2 - 24*d Find the second derivative of 1693*d**2*h*m - d**2*m + 2*d*h + 20*d*m - 58*d + h*m - 2*m wrt d. 3386*h*m - 2*m What is the second derivative of 20*m**4*o + 35*m**3 + 2*m*o - 483*o wrt m? 240*m**2*o + 210*m Find the third derivative of -1246*z**3 + 3*z**2 - 240*z wrt z. -7476 What is the second derivative of 67*a**3*c**2 + a**3 - 3*a**2*c**2 + 101*a**2*c - 2*a*c wrt c? 134*a**3 - 6*a**2 Find the third derivative of -82*u**6 - u**4 + 157*u**2 wrt u. -9840*u**3 - 24*u What is the derivative of 6115*j*v - 3*v - 355 wrt j? 6115*v Differentiate 4*h*i*l*t + 54*h*i*l - 9*h*i*t + h*i - 2*h*l + i*t with respect to t. 4*h*i*l - 9*h*i + i What is the first derivative of -133*b*v**2 - 5*b + 2466*v**2 wrt b? -133*v**2 - 5 Find the first derivative of -9*r**3 - 411*r**2 - 2326 wrt r. -27*r**2 - 822*r What is the third derivative of 1019*f**3*i**3 + 16*f**2*i**3 + 22*f**2 wrt f? 6114*i**3 Find the third derivative of -36*b*w**4 + 42*b*w - b + 3*w**4 + 2*w**2 wrt w. -864*b*w + 72*w Find the second derivative of i**2*q**5 + i**2*q**2 - 390*i**2*q + i*q**3 - i*q - i wrt q. 20*i**2*q**3 + 2*i**2 + 6*i*q What is the second derivative of 86*b**3*v**2 + 2*b**2*v**2 - b*v**2 - 29*b + 2*v**2 wrt b? 516*b*v**2 + 4*v**2 Find the third derivative of a**3*n**3*r**3 + a**3*n**3 - 21*a**2*n**3*r**3 + a*n**3*r**2 + 2*n*r**2 - 10*n*r wrt r. 6*a**3*n**3 - 126*a**2*n**3 Differentiate 545*g**3*j*x - 8*j - 31*x wrt g. 1635*g**2*j*x What is the derivative of -4656*s**2 - 342 wrt s? -9312*s What is the derivative of 9038*q - 5365 wrt q? 9038 What is the first derivative of 29*g**2*t*u**2 + 6920*g**2*t + 6*g*t*u + 13*u**2 wrt u? 58*g**2*t*u + 6*g*t + 26*u Find the third derivative of 2*d**6*i - 532*d**4*i**3 - 560*d**2*i + d*i**3 wrt d. 240*d**3*i - 12768*d*i**3 What is the third derivative of -2*n**2*t**5 + 1522*n**2*t**3 + 34*n**2 + 12*t**2 wrt t? -120*n**2*t**2 + 9132*n**2 Find the third derivative of 85*c**3*p*x - 56*c**3*p + c**2*p*x - c**2*x - 16*c*p + 57*p*x wrt c. 510*p*x - 336*p What is the second derivative of 638*g**2*r**2 - 4*g**2*r - 145*g**2 wrt r? 1276*g**2 Find the second derivative of -34*d**2*h*x**5 + 3*d**2*h*x + 22*d**2*h + 3*d**2 + 18*h*x**2 + 2*x wrt x. -680*d**2*h*x**3 + 36*h What is the second derivative of 15*k**3 - 13*k**2 + 981*k? 90*k - 26 What is the derivative of 298*a**3*g - 464*a**3 - 2*a**2*g**3 - 2*a wrt g? 298*a**3 - 6*a**2*g**2 What is the first derivative of 6*g**4 - 28*g + 384? 24*g**3 - 28 What is the derivative of 2*q**3*r**2 + 77*q**3*r + 151*q**3 + 2*q**2 + 13*r wrt r? 4*q**3*r + 77*q**3 + 13 Find the second derivative of 296*l**2 - l - 2068. 592 What is the second derivative of -195*y**2 - 108*y? -390 Find the second derivative of -16*h**4 + 11*h**2 + h + 62. -192*h**2 + 22 Differentiate -6*c*j**2*s - 9*c*j**2 - 4*c*j*s + 63*c*j + c + j**2*s with respect to s. -6*c*j**2 - 4*c*j + j**2 Find the third derivative of 270*h*i**3*x**2 - 2*h*i**2*x**2 + 2*i**3*x**3 + 2*i + 24*x**3 wrt i. 1620*h*x**2 + 12*x**3 What is the second derivative of 100*f**5 - 94*f? 2000*f**3 What is the third derivative of 179*h**5 + h**3 - 9600*h**2 wrt h? 10740*h**2 + 6 Differentiate -9*i*q**2 - i*q - 6235*i + 2*q**2 - 4*q wrt q. -18*i*q - i + 4*q - 4 Find the second derivative of 2*n**2*y + 9*n**2 - n*y + 48*y wrt n. 4*y + 18 Differentiate 2*c*z**2 + 6*c - z**2 + 104*z - 2 with respect to z. 4*c*z - 2*z + 104 Find the second derivative of -2*m**2*t**2*x**2 + 33*m**2*t*x + m**2*x**2 + 21*m*t**2*x**2 - m*t*x - 2*m*t wrt t. -4*m**2*x**2 + 42*m*x**2 What is the third derivative of -2*o**5 + 448*o**4*y**3 - 5*o**2*y**3 - 40*o*y**3 - 2*o*y wrt o? -120*o**2 + 10752*o*y**3 Differentiate -14*o**2*v**4 - 179*o**2 - 2*o + 3*v**4 - 6*v**2 wrt v. -56*o**2*v**3 + 12*v**3 - 12*v Find the second derivative of -f**3*s**3 + 10970*f**3*s - 2177*f*s**4 wrt s. -6*f**3*s - 26124*f*s**2 What is the second derivative of -71*b**3*t*w**2 - 2*b**3*t - 2*b**3*w + 2*b*t*w - b*w**2 wrt w? -142*b**3*t - 2*b What is the third derivative of -238*b**6*q + b**4*q**3 + 57*b**2*q**3 - 3*b**2*q wrt b? -28560*b**3*q + 24*b*q**3 Find the first derivative of -276*q - 915. -276 Find the first derivative of -100*i**3 - 10*i + 3849 wrt i. -300*i**2 - 10 Find the third derivative of n*y**4 + 2*n*y**3 - 4*n*y - 20*n + 88*y**5 + 7*y**2 wrt y. 24*n*y + 12*n + 5280*y**2 Differentiate -2*c**3*d*p - c**2*d - 2*c**2 - c*p + 61*d*p + 2 wrt c. -6*c**2*d*p - 2*c*d - 4*c - p What is the derivative of 7*r*z**4 - r*z**2 - 74*r*z - r - 1105 wrt z? 28*r*z**3 - 2*r*z - 74*r What is the second derivative of -2*b**2*f**2*x**2 + 4*b**2*f*x - 16*f**2*x**2 + 5*f*x**2 - 3 wrt f? -4*b**2*x**2 - 32*x**2 Find the third derivative of -2693*k**3 + 4352*k**2 wrt k. -16158 Find the second derivative of 437*i**3 - i + 8 wrt i. 2622*i Find the second derivative of 3*k**4 - 58*k**3 - 27*k + 1. 36*k**2 - 348*k Find the third derivative of 16820*f
{ "pile_set_name": "DM Mathematics" }
*p**3 - k*p**2 + 1495*k + 6*p wrt p. -6*k*p**2 - 2*k*p + 6 Find the third derivative of -1942*g**5 + 3019*g**2. -116520*g**2 What is the derivative of 883*w - 1003? 883 What is the first derivative of 10*c**3*n**2*o + c**3 - 585*c**2*n**2 - 2*c*o - 20*n**2*o wrt o? 10*c**3*n**2 - 2*c - 20*n**2 What is the first derivative of -883*u + 95? -883 Find the second derivative of 6171*g**3 + 299*g wrt g. 37026*g What is the second derivative of -4*i**3 + 39*i**2 - 442*i? -24*i + 78 Find the third derivative of -2*d**4 - 26*d**3 - d**2 - 4. -48*d - 156 Find the second derivative of 1522*o**3 + 2*o**2 + 7*o + 469 wrt o. 9132*o + 4 Find the second derivative of 233*b*t**5 + 2*b*t**2 + b*t - 1546*b + t**5 wrt t. 4660*b*t**3 + 4*b + 20*t**3 What is the first derivative of -10*c*p**2*z**3 - c*p**2 + 3*c*t + 5*p**2*t*z**3 - 4*p**2 - 8 wrt c? -10*p**2*z**3 - p**2 + 3*t Find the third derivative of -57*g*j**2*n**3*u - 2*g*j**2*n**2*u - g*n**3 - 2*j**2*n**2*u + 2*j*n**2 + 3*j*u wrt n. -342*g*j**2*u - 6*g Differentiate n**3*r + 19*n**3 + 11*n**2*r**2 wrt r. n**3 + 22*n**2*r What is the second derivative of -2*l**2*r*v + 44*l**2*v**2 - l*r**2*v**2 + l*r**2*v + 2*l*r*v*z + 2*l*r*v - 4*l*v*z + 2*r*v*z + 3*v**2*z wrt v? 88*l**2 - 2*l*r**2 + 6*z What is the derivative of 345*m**3 + 2*m**2 - 375? 1035*m**2 + 4*m Find the second derivative of -390*g*o**2 - 1716*g*o wrt o. -780*g Find the second derivative of -129*i**2 - 97*i wrt i. -258 Find the third derivative of 2*p**5 + 2*p**4 + 255*p**3 - 7751*p**2 wrt p. 120*p**2 + 48*p + 1530 Find the third derivative of 51*a*k*v**3 + a*v**3 + 106*a*v**2 - 2*k*v**3 - k*v**2 + 2*k*v wrt v. 306*a*k + 6*a - 12*k Differentiate 28*b*f*h + 3*b*f - 2*b*h + 2*h - 3 with respect to f. 28*b*h + 3*b What is the third derivative of -13720*s**3 - 1267*s**2 + 3 wrt s? -82320 Find the third derivative of 4*o**5 - 41*o**4 + 164*o**2. 240*o**2 - 984*o Find the third derivative of 186*o**4 - 5*o**3 - 20*o**2 - 10*o - 6 wrt o. 4464*o - 30 Find the third derivative of b**3*j*r*v + 9*b**3*j*r - 3*b**3*r*v - 2*b**2*j*r*v - 217*b**2*j*r wrt b. 6*j*r*v + 54*j*r - 18*r*v Differentiate p**3*u**2 + 21*p**3*u + 2608*p**3 + 12*p*u - p with respect to u. 2*p**3*u + 21*p**3 + 12*p Find the second derivative of -a**5*b - 24*a**4 + 2*a**2*b - 131*a + b wrt a. -20*a**3*b - 288*a**2 + 4*b What is the second derivative of 3*a**2*i*r**2*x - 2*a**2*i*r*x + 12*a**2*i*r + 2*a**2*r - 2*a*r**2 - a*r*x - 42*i*r**2*x + 3*i*x wrt r? 6*a**2*i*x - 4*a - 84*i*x Find the second derivative of 8*h**2*l*o + h**2*l - h**2 - 3*h*o - 5*h - 2*l*o wrt h. 16*l*o + 2*l - 2 What is the second derivative of -69*k**2*w**3 + 16*k*w - w**3 wrt k? -138*w**3 Find the third derivative of -24*i**6 + 3*i**4 - 42*i**2 - 7*i. -2880*i**3 + 72*i Find the second derivative of 157*t**2*x**2 + 7*t**2*x + 2*t**2 - t*x**2 + 2*t + 750 wrt t. 314*x**2 + 14*x + 4 What is the third derivative of -3013*o**3 + 2*o**2 + 3*o - 4? -18078 Find the second derivative of 2*d**5*r*u + 2*d**5*r - 17*d**2 + d*r*u + 215*d*u + r wrt d. 40*d**3*r*u + 40*d**3*r - 34 What is the derivative of a*r**3 - 125*a*r + 278*r**3 wrt a? r**3 - 125*r Find the second derivative of -80*g**3*r**5 + 6*g**3*r - 3*g**2*r + 2*g*r**5 + 5*r wrt r. -1600*g**3*r**3 + 40*g*r**3 What is the second derivative of -5427*f**2*g**3 - 5*f*g**3 + 1082*f*g wrt f? -10854*g**3 Find the second derivative of 2*y**4 - 58*y**2 - 2*y - 141. 24*y**2 - 116 Differentiate 13*i*q**2 + 4*i*q - 8747*i - 5*q**2 with respect to q. 26*i*q + 4*i - 10*q Find the second derivative of -i**3*l - 2030*i**2*l + 24*i*l - 2*l + 6 wrt i. -6*i*l - 4060*l Differentiate -2*c*l*w - 7*c*l - l*w + 2*l - 212*w + 8 with respect to w. -2*c*l - l - 212 Differentiate 1850*i*u**2 + 3*i*u - i + 16435*u**2 wrt i. 1850*u**2 + 3*u - 1 Find the third derivative of 161*o**3*s**2 - 3*o**3*s - 2*o**2 - 19*s**2 - 3*s wrt o. 966*s**2 - 18*s Differentiate -3*c**3*n*p*z + 3*c**3*n*p + 13*c**2*n*p*z + 2*c**2*n*p + 144*c*n*p wrt z. -3*c**3*n*p + 13*c**2*n*p What is the derivative of 1144*k**2 + 6428? 2288*k Find the second derivative of 21*h**2*k**3 + h**2*k + 20*h*k - k**5 wrt k. 126*h**2*k - 20*k**3 What is the second derivative of 5*h**4*x - h**4 + 22*h**3 + 16*h + 7*x - 1 wrt h? 60*h**2*x - 12*h**2 + 132*h Find the third derivative of -55*k*r**4 - 3*k*r**2 + r**4 - 3*r**2 wrt r. -1320*k*r + 24*r What is the third derivative of 1043*h**6*i - h**2*i - 62*i wrt h? 125160*h**3*i What is the second derivative of 3*q**5 + 133*q**3 - q + 206? 60*q**3 + 798*q What is the third derivative of -15*g**6 - g**2 - 85*g? -1800*g**3 Find the third derivative of -13*a**6 + 9*a**3*b**3 - a**2*b + 4*b**3 + 113 wrt a. -1560*a**3 + 54*b**3 What is the first derivative of 65*v**3 - 324? 195*v**2 What is the second derivative of 11*i**3*k**2*v + 4*i**3*k*v + 2*i**3*v + 2*i*k*v**2 + 13*i*k*v + 203*k**2*v**2 - 41*k*v**2 wrt k? 22*i**3*v + 406*v**2 What is the derivative of -458*l**3 + l + 1568? -1374*l**2 + 1 Find the second derivative of -65*i**2*q**2 + 2*i**2 + 4*i*q**3 - 2*i*q**2 + 912*i*q wrt q. -130*i**2 + 24*i*q - 4*i Differentiate 62*g*i + 100*i with respect to g. 62*i What is the first derivative of 388*o*u + 935*o wrt u? 388*o Differentiate 3*d**2*h - 3*d**2 + 2*d*h - 2089*h with respect to d. 6*d*h - 6*d + 2*h Differentiate 2*h**2*t + 1406*h*t**3 + 6*t**3 + 5 with respect to h. 4*h*t + 1406*t**3 Find the third derivative of -82*j**2*x**5 - 14*j**2*x - 5*j*x**2 - j - 2*x**5 wrt x. -4920*j**2*x**2 - 120*x**2 Differentiate -275*p**2*s - p*s + 2524*s with respect to p. -550*p*s - s What is the third derivative of 7231*k**4 - k**2 + 559? 173544*k Find the third derivative of -p**2*x**4 - 3*p**2*x**3 + 3*p**2*x**2 - 20*p**2 - 14*x**4 wrt x. -24*p**2*x - 18*p**2 - 336*x Find the third derivative of 3*q**5 - 14*q**4 + 12*q**3 - 2577*q**2 wrt q. 180*q**2 - 336*q + 72 What is the first derivative of 140*g**3 - 3*g + 2105? 420*g**2 - 3 What is the derivative of -169*p**4 - p**3 - 1885? -676*p**3 - 3*p**2 What is the second derivative of -11*o**3 - 6*o**2 - 115*o wrt o? -66*o - 12 What is the third derivative of -11315*j**6 - 8335*j**2 wrt j? -1357800*j**3 Find the third derivative of -f**5*o + 353*f**4*o**2 + 3*f**3 - 2*f**2*o**2 + 15*f**2*o + 20*f*o**2 - 2 wrt f. -60*f**2*o + 8472*f*o**2 + 18 What is the third derivative of 2*n**3*p**2*z**3 + 337*n**3*p**2 - 6*n**2*p*z**3 + n**2*z**3 - n*p**2*z - 2*n*p*z wrt n? 12*p**2*z**3 + 2022*p**2 Differentiate -d**3*h*j**2*l - d**3*h + d**3*j**2*l + 5*d**3*j - 7*d**2*h*l + 16*d*l - j**2 wrt h. -d**3*j**2*l - d**3 - 7*d**2*l Find the third derivative of -2107*b**3 - 5747*b**2. -12642 Find the second derivative of -3*l**2*y**2 - 16*l**2*y + 134*l*y**2 - 4*l wrt l. -6*y**2 - 32*y Find the first derivative of -3*i**2*w**2 + 20*i**2*w - 152*i**2 + i*w**2 + 2 wrt w. -6*i**2*w + 20*i**2 + 2*i*w Find the second derivative of -6331*a**3 - 10*a + 123. -37986*a What is the third derivative of 31*r**3 + r**2 + 44? 186 What is the first derivative of 3*f**2*m**2 + 4*f**2*m*p + 2*f*m**3 + 9*f*m*p + 3*f*m - m**3*p wrt p? 4*f**2*m + 9*f*m - m**3 What is the derivative of -2*n**3*u**2 - 883*n**3 - 21266*u**4 wrt u? -4*n**3*u - 85064*u**3 Find the third derivative of 2*d**2*i**4 - 161*d**2*i**2 - 2*d**2 + 2*d*i**4 + 3*d*i**2 - i**5 wrt i. 48*d**2*i + 48*d*i - 60*i**2 Differentiate 32*a*t**2 + 456*a - 17*t**2 + 2 wrt t. 64*a*t - 34*t What is the third derivative of -u**4 + 1990*u**3 + 2774*u**2 wrt u? -24*u + 11940 Find the third derivative of 18*a**2*f*p**3 + 34*a**2*f*u - a**2*f - 6*a**2*p**3 - 2*a**2*p - 3*a*f*p**2 - 2*f*p**2 - 2*p**3*u wrt p. 108*a**2*f - 36*a**2 - 12*u What is the third derivative of 426*j**3 - 106*j**2 - 3? 2556 What is the first derivative of 133*m - 94 wrt m? 133 Find the first derivative of 5*x**4 - 18*x**3*y**2 + 412*y**2 wrt x. 20*x**3 - 54*x**2*y**2 Find the second derivative of -2*q*t**2*y**3 + 43*q*t*y - 2*q*y**3 + 2*t**2*y**3 + 35*t**2*y**2 + 8*t*y**2 wrt t. -4*q*y**3 + 4*y**3 + 70*y**2 What is the third derivative of -2*q*t**5 + 282*q*t**4 + 3*q*t**2 - t**2 + 3 wrt t? -120*q*t**2 + 6768*q*t Differentiate 7*m**4*y + m**2*y - 36*y + 4 wrt m. 28*m**3*y + 2*m*y What is the third derivative of -4*c**2*k - 31*c**2*n**3 - c*k*n**4 + 4*c*k*n**2 - 2*c*n**4 + n**2 wrt n? -186*c**2
{ "pile_set_name": "DM Mathematics" }
-43/76. Which is the nearest to w? (a) o (b) 0 (c) p b Let g be (-8)/28*(-15 + 13). Which is the nearest to g? (a) 376 (b) 3 (c) 0.1 c Let i = -5.98 - 0.02. Let s = -5 - i. Let h = 137.9 - 140.9. What is the nearest to 2/7 in 1/2, s, h? 1/2 Let t = 368.5 + 152.5. Let o = t + -519. Let s = -0.3 - -0.8. Which is the closest to 0.2? (a) o (b) s (c) 0 c Let l be (-2)/(6/63) - 3. Let t(u) = -4*u - 97. Let h be t(l). Which is the nearest to 1/4? (a) 0 (b) h (c) 8 a Let h = -7427/4 - -1857. What is the nearest to 0 in 12/5, h, -17? h Let b be ((-2)/(-3))/(8/24)*2. Suppose -12 = -b*t + 7*t, -5*c - 2*t = -27. Let o be (-432)/(-924) - 2/c. What is the closest to 0.1 in 2/5, o, 5? o Let c = 2 - 2.4. Let l = 210886.8 + -210887. What is the closest to c in 0.5, 5, l? l Let d be (-6)/((-5)/15*(-18)/21). Let p be (2/6)/(d/(-63)). Let j = -0.065 + -0.035. Which is the nearest to j? (a) -2 (b) 2 (c) p c Let f = -1.336289 + 2.336289. Let k = -7 - -7.06. Let j = 0.24 + k. Which is the nearest to f? (a) 7 (b) -1 (c) j c Let p = 17 - 121/7. Let f = -94 - -95. Let h be (-3 - (-48)/28) + f. Which is the closest to h? (a) 2 (b) -2/3 (c) p c Let l be ((4/10)/((-90)/50))/((-4)/(-6)). Which is the closest to -4? (a) -2 (b) 0.24 (c) l a Suppose -x + 4*x = -51. Let p(i) = -14*i + 133. Let q be p(9). Let y be 7 + (-575)/40 + q. What is the closest to x in 0.1, 0, y? y Let a = 14 - 13.7. Suppose 0 = 5*k - 5*v + 445, -148 = 2*k - 0*v + 4*v. Let h be 17/(-5) - (k/4)/7. What is the closest to a in -1/4, -1, h? -1/4 Let k = 194 - 192. Let o = -149/6 - -25. Let n = 67 - 70. Which is the nearest to o? (a) k (b) n (c) 5 a Let o = 0.1036 - 135.5036. Let q = -135 - o. What is the nearest to 0.07 in 1/11, 2, q? 1/11 Let s = -22.82 + 22.72. What is the closest to -0.2 in s, -5, 0, 0.4? s Let m = 1201 - 1779. Let y = -574 - m. What is the nearest to 0.1 in 1, -3, 2/3, y? 2/3 Let h = 194 - 130. Let r = h + -54. What is the nearest to 1 in 1, -3/5, r? 1 Let d = 35737 + -35718. What is the nearest to 0.4 in -0.2, 2, -0.3, d? -0.2 Let g = -222 + 181. Let t = 45 + g. Let d = -0.2 - -0.3. What is the closest to 0 in t, 0.2, d? d Let k = -2014.73 + 2023.73. Let l = 722/7 + -103. Which is the closest to -0.1? (a) k (b) 0.1 (c) 2 (d) l b Suppose -5*c + 3*y = -25, 5*y = -20*c + 23*c - 15. Suppose 0 = 4*m + d + 17, 5*m - c*d = -0*m - 40. What is the nearest to -1.1 in m, -3/7, 1/5? -3/7 Let v = -27 + 26. Let i = 75 - 74. Let x = 0.4 - 1.4. Which is the closest to x? (a) i (b) v (c) 1/5 b Let z = -19829.2 - -19829. What is the closest to 0.7 in z, -2, 4, -0.5? z Suppose -3*a + 530 = -8*a. Let j = 528/5 + a. Let y = 34339.4 + -34334.4. What is the closest to -8 in -1/10, j, y? j Let r = -20.37 + 1.87. Let j = r + 18.5. Which is the nearest to 1/3? (a) -4/5 (b) -5 (c) j c Let b = -37/5 + 301/40. Let d = 0 + b. Let y = -642874/13 - -49452. What is the nearest to 2 in d, -0.2, y? y Let w = 114 + -108. Suppose w*o = 11*o + 50. Let u be 12/o*(-7)/(-84)*-4. Which is the closest to 2? (a) -5 (b) u (c) -1/4 b Let d = -3.9667 - 0.0333. What is the nearest to 1 in d, 1/77, -0.1? 1/77 Let p be 1*(-7)/(21/3). Let i(q) = -5*q**3 + 2*q**2 + 2*q. Let v be i(p). Which is the closest to 0.1? (a) v (b) -0.4 (c) 1 b Let f be (-1 + 0)*(2 - -3). Let c = -26/35 - -36/7. Let j = c + f. What is the closest to 1/3 in j, 3/4, -3? 3/4 Let s(f) = 22*f - 165. Let v(p) = -10*p + 82. Let a(c) = -3*s(c) - 7*v(c). Let o be a(21). What is the nearest to -2 in -2, 3, o? -2 Let u = 1.66 - 4.66. Let g = -1.2 - -2.2. What is the closest to g in -7, u, 4? 4 Let v = -392.5 + 392.3. Which is the nearest to 1? (a) -5 (b) -2/13 (c) v (d) 2/15 d Let f be -13 + (11 - (-72)/54). What is the nearest to 3/8 in -4, 2, f? f Let p = 796 - 799. Which is the closest to 2/5? (a) -186 (b) -0.5 (c) p b Let d = -0.8 + 2.8. Let c = d + 1. Let u = -1456 - -1456.1. What is the closest to u in c, -1, 1? 1 Let m = -488 + 458. Let x be (124/36 + -4)/(m/36). What is the nearest to 1 in x, -2/41, 5? x Let u be ((-4)/1)/(-4) + 9/(-15). Let g = -8598 + 8600. Suppose 2*k = -3*v - 9, k + 5*v - 15 = -37. What is the nearest to u in k, -0.2, g? -0.2 Suppose -p + 3 = -3*r, 1 = -4*r - 3. Let u = 238.9 + -254.9. Which is the closest to 0? (a) u (b) 2 (c) p c Let m = 0.1529 - -0.0798. Let g = m + -48.2827. Let j = 48 + g. Which is the nearest to j? (a) -4 (b) 3/2 (c) -1/5 c Let d(l) = 9*l - 101. Let z be d(11). Suppose -24*p - 7 = -17*p. Which is the nearest to -28? (a) z (b) 2/9 (c) p a Let t = 0.041 + -0.241. Suppose 2*f - d + 13 = 0, 3*f - 6*f = -5*d + 37. Let g = -0.39 - -0.4. Which is the closest to g? (a) t (b) f (c) 0.1 c Let x = 520.6 + -518.6. What is the closest to 21 in -1/3, 1/3, x, 0.5? x Let m = -50.901 + -0.099. Let y = 52.1 + m. Let c = 1 - 0.9. What is the closest to c in 1, y, 1/3? 1/3 Let h be 7/(-91) - (-528)/104. Suppose 5*b = t - 5, -4 = 3*t - h*t + 4*b. What is the closest to 0.1 in -1, t, 4? t Let r = -0.1 + -0.1. Let b = -407.53 + 407.63. Let d = 4.1 - 0.1. What is the nearest to b in r, -0.9, d? r Let x = 1139/7 - 163. Let w = 356.8 - 356.6. What is the nearest to x in -0.4, 5, w, -0.5? -0.4 Let p = 407.88 - 407.94. What is the closest to -2/7 in -4, 0, p, -29? p Let n = -4069 - -4066. What is the nearest to -0.1 in n, 5, 0.14, -1? 0.14 Let m be (9/297)/(6/(-36)). Let n be (-6)/((-42)/(4 + -2)). What is the closest to 2 in n, 9, -3/5, m? n Let u = 3/166 + -395/3486. Let h be (-1)/(-3*(-1)/6). Let z(l) = l**3 + 2*l**2 - 5*l - 2. Let i be z(-3). Which is the closest to h? (a) u (b) i (c) -0.1 c Let x be (-2)/(-6)*45/10. Let s = 519 + -519.4. What is the nearest to -2/3 in x, -2, s, -3? s Let m = -9913 + 9910. What is the closest to -2/19 in 6, -6, m? m Suppose n = 1, -3*p - p - 26 = 2*n. Let g = 50 + -66. Let y be 3/2*32/g - -1. Which is the nearest to -0.1? (a) -5 (b) p (c) y c Suppose w - 2*s = -2, 4*s + 22 = 5*w + 2*s. Suppose 4*f = 2*k + w, k + 0 = -f + 3. Which is the closest to 6? (a) 5 (b) f (c) 4/7 (d) -1/3 a Let n be 3/((-108)/16 + 18/8). Which is the closest to 0.5? (a) 10 (b) -0.1 (c) n b Let m = 125 - 124. Suppose -5*s + m = 11. Let h be (-9)/63*s*(-4 - -1). Which is the nearest to -1? (a) -1 (b) 1 (c) h a Let c = 7 + -12. Let g = 877/63 - 99/7. Let n = -31.5 - -33.5. What is the nearest to n in c, 3/5, g? 3/5 Let z be ((-2)/(-6))/((-5)/(-2610)). Let h be 4*1/33 - (-58)/z. Which is the nearest to h? (a) -0.4 (b) 4 (c) -1/4 c Suppose 5*d + 183*n - 187*n - 82 = 0, 0 = 5*d - 2*n - 76. What is the nearest to -0.1 in 0.2, 9, d? 0.2 Suppose 4*j = 5*c - 1487, 3*j + 1122 = -2*c - c. Let o = j - -376. What is the nearest to 2 in -5, o, -0.5? o Let u be ((-6)/(-105))/(1/(-5))*-4. What is the nearest to u in -0.1, 2, 4, -0.5? 2 Let i = 3.53 - 4.53. What is the closest to i in -5, 14, -0.3? -0.3 Let b = 34.68 - 35. Let l = 22.68 - b. Let p = -28 + l. What is the nearest to -4 in p, -0.5, -4? -4 Let b = 384.84 + -5.84. Let g = b + -379.06. What is the closest to g in 4, 1/2, 5? 1/2 Let p = -26 + 36. Suppose -4*z - 3*h - 55 = -0*h, h + 17 = -z. Which is the closest to 0.1? (a) p (b) 2/5 (c) 0 (d) z c Let f = -1.96 - 0.04. Let q = -437146 - -6994337/16. Which is the nearest to q? (a) f (b) 4 (c) -3 a Let g = -73.9 - -51.9. What is the closest to -7 in g, -2/17, -17? -2/17 Let b be 3/(-6) - (-393)/1022. Let w = 2/73 - b. Let j be 27/36*20*4/(-20). What is the closest to 2/3 in w, j, -5? w Let k = -0.25336 - -0.35336. Which is the closest to 2/29? (a) k (b) 0.3 (c) 4 a Let z = 2.189 + -2.289. Which is the nearest to 0.1? (a) z (b) -4 (c) 1.994 (d) 2 a Let x = 0.06206 + -1.06206. What is the closest to -41 in -3, x, 1/4, -2? -3 Suppose 13*g = 1236 + 142. Let x = g + -107. Which is the nearest to x? (a) -2/11 (b) 0.5 (c) 42 a Suppose 10 = 2*a + 5*v, 5*v + 108 - 133 = -3*a. What is the closest to 0 in -14, 0, a? 0 Let y = 67.9 + 127.1. Let h = y - 204. Let p = -1.9 + 2. Which is the nearest to p? (a) -1 (b) h (c) 5 a Let u = 116 + -115.9. Let d = -45.7 + 46. Let q = d - -0.7. Which is the nearest to q? (a) u (b) -1 (c) 5 a Suppose 33*k - 28*k + 915 = 0. Let u = 21307/4 + -144017/28. Let f = k + u. What is the nearest to 1 in f, 2/3, -2/9? 2/3 Suppos
{ "pile_set_name": "DM Mathematics" }
g + 514 Let i(k) = 182*k**2 - 371*k**2 + 13*k + 178*k**2. Let o(h) = -5*h**2 + 6*h. What is 6*i(q) - 13*o(q)? -q**2 Let y(w) = w - 5. Suppose -2*z - 153 = -m, 0 = 2*z + m + 4 + 143. Let h = z - -72. Let v(c) = -3. Calculate h*y(x) + 5*v(x). -3*x Let i(h) = -3*h + 9. Let v(d) = -4*d + 10. Suppose -5*g - 10 = -4*j - 5, -g - 25 = 4*j. Let y be (-5 + -7)*(2 - (-5)/(-2)). Calculate g*v(c) + y*i(c). 2*c + 4 Let n(m) = 16*m**3 - 6*m**2 - 30*m - 15. Let h(c) = 3*c**3 + c**2 + 5*c + 1. Let z(a) = -6*h(a) - n(a). Let d(u) = -17*u**3 + 4. Calculate -5*d(r) + 2*z(r). 17*r**3 - 2 Let k(l) = -2*l**2 - 120*l - 7. Let w(o) = 7*o - 2. Give k(i) - 3*w(i). -2*i**2 - 141*i - 1 Let d(c) = -30*c**3 - 84*c**2 + 242*c + 2. Let p(j) = 20*j**3 + 60*j**2 - 161*j - 1. Calculate -5*d(b) - 7*p(b). 10*b**3 - 83*b - 3 Let v(o) be the first derivative of -11*o**2/2 - 5*o - 7. Let s(w) = 27*w + 12. Let p(r) = -43*r - 289. Let q be p(-7). What is q*v(m) + 5*s(m)? 3*m Let x(d) = 17*d**3 + d**2 + 579*d + 3. Let u(o) = 57*o**3 + 3*o**2 + 1738*o + 10. Determine 3*u(c) - 10*x(c). c**3 - c**2 - 576*c Let g(u) = -u**2 - u - 7. Let s(o) = -o - 6. Let a(w) = -w + 2. Let l be a(0). Suppose -3*c - 1 = -m, -2*c - 36 = 3*m - 6. Calculate c*s(f) + l*g(f). -2*f**2 + f + 4 Let o(r) = -45*r + 18. Let s(h) = -13*h + 5. Let q = 32 + -50. Let n = 449349 + -449344. Give n*o(a) + q*s(a). 9*a Let r(t) = -20*t**2 - 6*t - 393. Let m(j) = 53*j**2 + 15*j + 1178. Determine 3*m(n) + 8*r(n). -n**2 - 3*n + 390 Let u(s) = -13*s**3 - 49*s**2 - 7*s - 7. Let n(w) = 12*w**3 + 42*w**2 + 7*w + 6. What is 7*n(k) + 6*u(k)? 6*k**3 + 7*k Let z(r) = -8363 + 94*r**2 - 37*r**2 + 8*r - 44*r**2 + 8355. Let b(k) = k - 1. Determine -40*b(f) + 5*z(f). 65*f**2 Suppose 25*m + 15 = 24*m + 3*v, 4*m - v = -16. Let b(d) = 25*d - 2. Let y(t) = -50*t + 3. Determine m*y(h) - 5*b(h). 25*h + 1 Let d(k) = -15*k**2 - 707*k + 3. Let o(z) = 13*z**2 + 687*z - 2. Give 2*d(g) + 3*o(g). 9*g**2 + 647*g Let v(f) = 1650*f - 121. Let h(i) be the third derivative of -55*i**4/24 + 2*i**3/3 - 1667*i**2. What is -121*h(j) - 4*v(j)? 55*j Let a(f) = -f**3 - 3*f**2 - 3*f + 8. Let o(v) = -v**3 - 4*v**2 - 4*v + 8. Let i(b) = b**3 + 55*b**2 - 362*b - 20. Let m be i(6). What is m*a(k) - 3*o(k)? -k**3 + 8 Let p(o) = 17*o**2 - 5*o - 6. Let j(v) = -52*v**2 + 17*v + 18. Let c(q) = 6*j(q) + 19*p(q). Let h(b) = -5*b**2 - 3*b + 3. Calculate -3*c(z) - 7*h(z). 2*z**2 - 3 Let q(w) = -19*w**3 + 13*w**2 + 7*w - 124. Let x(v) = 9*v**3 - 6*v**2 - 3*v + 62. Calculate -6*q(d) - 13*x(d). -3*d**3 - 3*d - 62 Let u(i) be the second derivative of -i**3/6 + 17*i. Let r(c) be the second derivative of c**2 + 0 - 5/6*c**3 + 10*c. Give r(l) - 3*u(l). -2*l + 2 Let v(a) = 16*a**3 + 3*a**2 + 3*a + 4. Let s(r) = -69*r**3 - 14*r**2 - 14*r - 17. Calculate 2*s(z) + 9*v(z). 6*z**3 - z**2 - z + 2 Let o(g) = -2*g**2 - 32*g - 5. Let z(t) = -t**2 - t - 1. Determine -o(h) + 3*z(h). -h**2 + 29*h + 2 Let z(p) = p + 2. Let i = -763 + 765. Let k = -4 + 1. Let q(h) = 3 + 1 + 5 + h - 6. Give i*z(y) + k*q(y). -y - 5 Let i(b) = -68*b + 58. Let q(s) = 142*s - 144. Determine -12*i(p) - 5*q(p). 106*p + 24 Suppose o + 0*o + 3*p + 12 = 0, 3*o = -p + 4. Let x(y) = 5 - 5 - 2006*y**2 - 3*y**o + 2007*y**2. Let n(g) = -4*g**3 + g**2. What is 6*n(m) - 7*x(m)? -3*m**3 - m**2 Let i(f) = 2*f**3 - 4*f**2 + 1304. Let b(v) = -2*v**3 + 5*v**2 - 1306. Calculate -3*b(o) - 4*i(o). -2*o**3 + o**2 - 1298 Let d(y) = 3*y - 24. Suppose 0 = -305*o + 204 + 4 + 97. Let g(m) = -m + 1. Give o*d(v) + 5*g(v). -2*v - 19 Let t be (5/4)/(-23*(-44)/4048). Let v(a) = 4*a**3 - 7*a**2 + 5. Let c(m) = 3*m**3 - 7*m**2 + 4. What is t*c(x) - 4*v(x)? -x**3 - 7*x**2 Let g(l) = -63*l**2 - 139*l - 200. Let r(b) = 18*b**2 + 39*b + 57. Let y(v) = 5*g(v) + 18*r(v). Let u(q) = -4*q**2 - 3*q - 13. What is -5*u(m) - 2*y(m)? 2*m**2 + m + 13 Let l(x) = x + 1 - 1. Let p(n) = 15*n - 1698. Let c(k) = -5*k + 606. Let f(i) = -14*c(i) - 5*p(i). What is f(o) + 4*l(o)? -o + 6 Let t(c) = -1701*c - 147. Let r(f) = -44*f + 42. Let n(d) = -87*d + 107. Let l(y) = -2*n(y) + 5*r(y). What is -147*l(i) + 4*t(i)? -42*i Let n(k) = -4*k**3 + 3*k**2 + k + 2. Let c(g) = 3*g**3 - 2*g**2 - 2. Let i be ((-4070)/(-130))/11 + 10/65. Determine i*c(h) + 2*n(h). h**3 + 2*h - 2 Let s(t) = 11*t**3 + 17*t**2 + t + 8. Let c(g) = 5*g**3 + 9*g**2 + g + 3. Give -5*c(i) + 2*s(i). -3*i**3 - 11*i**2 - 3*i + 1 Let h(v) = 12*v. Let k(d) = 2*d + 1. Let y(b) = -28*b - 20. Suppose 24*u - 37*u - 520 = 0. Let o(q) = u*k(q) - 2*y(q). Determine 5*h(n) + 2*o(n). 12*n Let b(i) = -125*i + 4631. Let a(w) = -229*w + 9261. What is 6*a(c) - 11*b(c)? c + 4625 Let l(s) = 9*s - 2. Let v(c) = 10*c - 3. Let h(d) = -5*d**3 + 5*d**2 - 98*d + 95. Let u be h(1). Let z(y) = y - 3. Let r be z(5). Give r*v(m) + u*l(m). -7*m Suppose 144 = -2*v + 42*v - 4*v. Let b(d) = -11*d**2 - 4*d + 13. Let c(p) = 5*p**2 + 2*p - 6. Determine v*b(s) + 9*c(s). s**2 + 2*s - 2 Let b(c) = -c**2 + 1. Let r(v) = -1 - 105*v**2 + 50*v**2 + 53*v**2 - v + 2*v + 0*v. What is -2*b(f) - r(f)? 4*f**2 - f - 1 Let y(b) = 2*b**3 + b**2 + 2*b + 1. Let l(c) = -1008*c**3 + 50*c**2 + 100*c + 50. Give -2*l(z) + 100*y(z). 2216*z**3 Let b(q) = 14*q**3 + 13*q**2 + 2*q + 1. Let u(n) = 17*n**3 + 16*n**2 + 3*n + 2. Calculate 3*b(t) - 2*u(t). 8*t**3 + 7*t**2 - 1 Let v(h) = -43*h**2. Let k(z) = -29*z**2 + 3667 - 3667. Determine 7*k(b) - 5*v(b). 12*b**2 Let p(y) = -3*y + 18. Let f(z) = z - 4. Let a(o) = -18*f(o) - 4*p(o). Let t(k) = 1 - 22*k + 28*k - 31*k. What is 9*a(j) - 2*t(j)? -4*j - 2 Let v(w) = 350*w**2 - 1007*w**2 + 5 + 3*w + w**3 + 662*w**2. Let y(z) = -z**2 - 1. Calculate v(m) + 3*y(m). m**3 + 2*m**2 + 3*m + 2 Let f(g) = -g**2 - g - 8. Let t(v) = 24*v**2 + 5*v + 37. Determine 20*f(o) + 4*t(o). 76*o**2 - 12 Suppose -2*a - 3*d = 11, -39 = -5*a + 2871*d - 2869*d. Let z(p) = -2*p**2 - p - 5. Let l(g) = -g**2 - g - 4. Calculate a*l(y) - 4*z(y). 3*y**2 - y Let x(o) = -2*o + 6. Let u(m) = 6 - 6 + 3 + 2*m - 7 - 2. What is -2*u(l) - 3*x(l)? 2*l - 6 Let z(s) = 21*s**2 + 9*s - 8. Let r(f) = -19*f**2 - 8*f + 6. Give 7*r(t) + 6*z(t). -7*t**2 - 2*t - 6 Let p(i) = 16*i**3. Let x(j) = 2*j**3 + j - 1. Let u(g) = -5*g**3 - 3*g + 3. Let m(w) = u(w) + 3*x(w). Give 8*m(l) - p(l). -8*l**3 Let b(l) = 114*l - 16. Let y(q) = -53*q + 9. Determine -3*b(u) - 7*y(u). 29*u - 15 Let t(a) = -a**3 - a**2 - 7*a + 1. Let i(s) = 32*s**2 + 21*s + 30. What is i(j) + 3*t(j)? -3*j**3 + 29*j**2 + 33 Let r(k) = -1773*k**2 - 6*k - 10. Let f(c) = -7092*c**2 - 27*c - 45. What is 2*f(u) - 9*r(u)? 1773*u**2 Let d(f) = f - 1. Let l = 184 - 186. Let r = -598 + 597. Let y(z) = 4*z**2 - 2*z + 1. What is l*d(n) + r*y(n)? -4*n**2 + 1 Let w(n) = -33*n**2 + 5*n - 12. Let t(l) = 4*l**2 - l + 2. Let h(s) = -4*t(s) - w(s). Let b(c) = -50*c**2 + 3*c - 11. Determine -4*b(d) - 11*h(d). 13*d**2 - d Let t(i) = -i**2 - 2*i. Let o(n) = 4*n - 16721 - 3*n + n**2 + 16720. Determine o(h) - t(h). 2*h**2 + 3*h - 1 Let n(p) = 5*p - 35. Let r = 100 - 98. Let k(a) = 54*a + 6. Let t be k(r). Let l = t + -108. Let g(f) = f - 6. Determine l*n(b) - 35*g(b). -5*b Suppose -3*b + 2 + 7 = 0. Suppose -48 = -i - b*i. Let d(g) = 11*g + 1. Let f(l) = -69*l - 5. Let n(m) = 5*d(m) + f(m). Let c(a) = -a. Calculate i*c(k) - n(k). 2*k Let b(q) = 11*q**2 + q. Let g(r) = -35*r**2 - r - 5. Let z(s) = -3*b(s) - g(s). Let t(d) = -d**3 + 5*d**2 - 5*d + 9. Determine -2*t(k) + 5*z(k). 2*k**3 + 7 Let q(r) = -24*r**3 - 135*r**2 - 20*r + 106. Let p(n) = 5*n**3 + 28*n**2 + 4*n - 22. Calculate -29*p(o) - 6*q(o). -o**3 - 2*o**2 + 4*o + 2 Let k = 1 + -7. Let p(b) = 107*b - 161*b - 1 + 61*b + 6. Let c(t) = 7*t + 6. Determine k*p(w) + 5*c(w). -7*w Let l(r) = r**3 - r - 1. Let p(f) = 3*f**3 - 2*f - 3. Let j(n) = -5*l(n) + 2*p(n). Let s(k) = 3*k**3 + 5*k - 8. Let t = -44954 + 44949. Give t*j(m) + s(m). -2*m**3 - 3 Let m(t) = 2*t - 9. Let d(o) = -105 - 10*o + 9*o + 108. Give -8*d(c) - 3*m(c). 2*c + 3 Let z(d) = d - 7. Let s be z(12). Let b(f) = 7 + s*f + 2*f + 0 + 2*f. Let t(n) = 2*n + 1. Let y(k) = k + 1. Let h(q) = t(q) + 2*y(q). What is 2*b(m) - 5*h(m)? -2*m - 1 Let x(t) = t**3 + 3*t**2 + t - 3. Let z(v) = v**3 + 5*v**2 + 2*v - 5. Let s(r) = 6*r + 32. Let j be s(-5). Let w be 9*(2/(-3))/j. Determine w*z(l) + 5*x(l). 2*l**3 - l Suppose 7*i + 104 = -204. Let w(p) = 24*
{ "pile_set_name": "DM Mathematics" }
t g(y) = 23*y**2 + 5*y + 5. What are the prime factors of g(u)? 3, 29 Let i be ((-800)/30)/((-1)/3). Let u = -67 + i. List the prime factors of u. 13 Let u = 3024 - 921. What are the prime factors of u? 3, 701 Let k(o) = 19 + 11*o + 2*o**2 - 6 - 3*o**2 - o. Let c be k(11). Suppose -m - 3*i + 19 = 0, -2*m + 116 = 2*m + c*i. List the prime factors of m. 31 Suppose 2*x - 1 = 29. What are the prime factors of 146*9/(-4)*(-10)/x? 3, 73 Let w(s) be the second derivative of 3*s**3/2 - 39*s**2/2 - 19*s. What are the prime factors of w(16)? 3, 5, 7 List the prime factors of ((-50)/(-5))/((-1)/(-28)) - 5. 5, 11 Suppose -6*p - 2179 = -8503. What are the prime factors of p? 2, 17, 31 Suppose 4*v + 5*o = 194, 2*v - 4*o = 5*v - 146. Suppose 0 = 3*m - v - 38. List the prime factors of m. 2, 7 Let m(x) = 4*x - 16. Let d be m(5). Suppose 0 = 2*v + 2*f + 80 - 346, -d*v = -4*f - 572. What are the prime factors of v? 2, 3, 23 Let b(s) = -9*s - 51. List the prime factors of b(-29). 2, 3, 5, 7 Let a = 739 - -678. What are the prime factors of a? 13, 109 Suppose 3*w - 7*w - 2*h - 36 = 0, 28 = -4*w + 2*h. List the prime factors of 280/(-15)*60/w. 2, 5, 7 Suppose 3*v - 8*v + 25 = -5*f, -4*f = v + 15. What are the prime factors of 115 - ((f - -4) + -1)? 2, 29 List the prime factors of 1132 - (7 - (4 - 5)). 2, 281 Suppose 3*y - 27 = -2*y - 4*c, -3*y - 2*c = -15. Let k be 2 + 9/(y + -6). What are the prime factors of (k + (-15)/(-6))*4? 2, 3 Let g(n) be the second derivative of -4*n**3 + n**2 + 20*n. Suppose -3*i + 6*i + 6 = 0. List the prime factors of g(i). 2, 5 Suppose 6 = i - 8. Let w = -6 + i. List the prime factors of w. 2 Suppose -n + 3 = -1. Let g(s) = -12*s - n + s - 8 + s. What are the prime factors of g(-5)? 2, 19 Let p(t) = -t**2 + 14*t + 4. Let x be p(14). Suppose x*a + 37 = -23. Let z = a + 47. List the prime factors of z. 2 Let n = -480 - -2318. What are the prime factors of n? 2, 919 Suppose 0*j - j = -192. Suppose 15*f - 37 = 23. Suppose 4*a + j = 3*w, f*w = -a + 2*a + 269. List the prime factors of w. 2, 17 Suppose -5*c = -241 + 91. Suppose -33 = 3*z + c. Let h = 4 - z. List the prime factors of h. 5 Suppose n = -3 + 8. Suppose 4*b + 369 = -3*s + 17, -n*b = 2*s + 447. What are the prime factors of b/14*(1 + -5)? 2, 13 Let c = 50 + -45. Suppose 6*u - 455 = u - 5*h, -h - 425 = -c*u. What are the prime factors of u? 2, 43 Suppose -3*z - 1069 = 2*s - 2862, -z = 5*s - 4515. List the prime factors of s. 2, 113 Let x = 95 + -139. List the prime factors of 1/(-2)*x + -2. 2, 5 Suppose 270*v = 267*v + 3033. List the prime factors of v. 3, 337 List the prime factors of 4 + 6/15*(1 - -3034). 2, 3, 7, 29 Let f = -1653 + 2466. List the prime factors of f. 3, 271 Suppose 5*m + 4*f = 5*f + 997, 0 = -f + 3. What are the prime factors of (-1)/(-8) - (-23575)/m? 2, 59 Suppose -7834 = -4*z + 102. What are the prime factors of z? 2, 31 Let y(n) = -n + 6. Let r(a) = -a**2 + a. Let l be r(0). Suppose -2*v = -l*v. List the prime factors of y(v). 2, 3 Let n(m) = -3*m + 668. Let x be n(0). Suppose -x = -y - 3*y. What are the prime factors of y? 167 Let i(v) be the second derivative of 7*v**4/2 - v**3/3 + v**2 + 4*v. List the prime factors of i(1). 2, 3, 7 Let t(o) = 10*o**2 + 2*o + 1. Let a be t(-1). Suppose 0 = -a*i + 324 + 216. What are the prime factors of i? 2, 3, 5 Suppose 0 = -7*n + 11*n - 536. List the prime factors of n. 2, 67 List the prime factors of (55/(-5) - -9)*-499. 2, 499 Let s(u) = -u + 49. List the prime factors of s(-14). 3, 7 Let j(s) = -2*s**3 + 18*s**2 + 5*s + 18. Let z(q) = q**3 - 6*q**2 - 2*q - 6. Let n(t) = 4*j(t) + 11*z(t). List the prime factors of n(3). 3, 5 Suppose 0 = 5*t + 2*v - 1783, -343 = -5*t + 4*t + 3*v. List the prime factors of 9/(-27) - t/(-3). 2, 59 Suppose -2*p + 2*f + 986 = 0, 3*p - 2*p + 3*f - 489 = 0. List the prime factors of p. 2, 3, 41 Suppose 878 = 3*u - 685. What are the prime factors of u? 521 Let a(v) = v**2 + v - 97. List the prime factors of a(17). 11, 19 Let y be (-12500)/(-70) + (-3)/(-7). Suppose j - y + 57 = 0. What are the prime factors of j? 2, 61 Let i(u) = u**2 - 7*u + 9. Let v = 10 + -4. Let g be i(v). Suppose y - 66 = -2*c, 3*c - 100 = 2*y - g*y. What are the prime factors of c? 2, 17 Let w = 721 + -347. List the prime factors of w. 2, 11, 17 Let w(r) = 409*r**2 - 2*r + 4. Let h be w(1). Suppose -h - 1249 = -10*v. List the prime factors of v. 2, 83 What are the prime factors of (-2)/(-2)*(234 - 50)? 2, 23 Suppose 0 = -3*u + 8*u - 50. What are the prime factors of 1322/u + 32/40? 7, 19 Let r = 137 - -814. List the prime factors of r. 3, 317 Suppose -3*j + 3*m + 10 = -4*j, 3*j + m - 10 = 0. Suppose 0 = 4*o + j - 45. Suppose u = 3*b - 1 + o, -4*b = -3*u + 42. What are the prime factors of u? 2, 3 Suppose 0 = 4*r + 5*f + 4, -3*f = -3*r - 38 + 8. Let n be 9/r*(-8)/3. What are the prime factors of -3*(-1)/n*4? 3 Let j be 4 - (1 - -2) - -3. Suppose -310 = p + j*t, 317 = -0*p - p + 3*t. List the prime factors of p/(-12) + (-6)/36. 2, 13 Suppose 5*g - 4075 = -3*k, 3*k - 5*g - 4082 = -3*g. What are the prime factors of k? 2, 5, 17 Suppose 2*i = 0, -4*h - 3*i = -5*i - 26208. List the prime factors of h/30 + (-12)/(-20). 3, 73 Let a(y) = 2*y**2 + 12*y + 172. List the prime factors of a(-14). 2, 3, 11 Suppose 6*r - 6 = 4*r. Suppose 0*i - 5*i + 15 = 0, -r*h = -2*i - 111. List the prime factors of h. 3, 13 Let k(d) = d**2 - 8*d + 4. Let l be k(8). Suppose m + l*m = 365. What are the prime factors of m? 73 Let g = -81 + 74. Let w = 97 - g. What are the prime factors of w? 2, 13 Let l(u) = -u**2 + 9*u - 15. Let d be l(6). Suppose d*q - 33 = -0*q. Let b(x) = x**2 - 9*x + 6. List the prime factors of b(q). 2, 7 Suppose 0*o = 3*o + 2*g - 30, -30 = -3*o - 3*g. Let h(r) = r**2 - 11*r + 14. List the prime factors of h(o). 2 Suppose -3*o - 5*f + 62 = 0, -f - 15 = 2*o - 47. Let i(n) = 17*n - 18. Let q be i(o). Suppose -b - 4*b = -q. List the prime factors of b. 2, 11 Suppose 57*c = 83*c - 16952. What are the prime factors of c? 2, 163 Let m(f) = 23*f**2 + 1. Let w be -4*(-4)/((-16)/2). Let n be m(w). Suppose 4*s - 59 = n. List the prime factors of s. 2, 19 Suppose -5*c + 410 + 10 = 0. Let s = c - 34. What are the prime factors of s? 2, 5 Let u be (-1)/2*-4 + 0. Suppose -3*h = -o + 1, -3*o + h + 2*h = -3. Suppose 3*s - u*s = -o, 5*k - s - 231 = 0. What are the prime factors of k? 2, 23 Suppose -5 = -3*k + 2*k + w, 3*w = -9. Let x be k/(-4) + (-41)/(-2). List the prime factors of ((-304)/x)/((-4)/10). 2, 19 Let y(w) = 19*w - 6. Let v be y(4). Let p = v - 156. Let x = -38 - p. What are the prime factors of x? 2, 3 Let h be 57/21 - (-10)/35. Suppose h*o = 3*r + 105, 2*o - 5*r - 34 = 48. Suppose -g - 4*l = -0*g - 6, l + o = g. List the prime factors of g. 2, 13 What are the prime factors of (-956*1/(-12))/((-1)/(-3))? 239 Suppose 27*z = 29*z - 8. Suppose z*v - 255 = -87. List the prime factors of v. 2, 3, 7 List the prime factors of 0 - (-1450 - -1) - (-2 - -4). 1447 Let a = -1098 + 3690. List the prime factors of a. 2, 3 Let q = 893 - 131. List the prime factors of q. 2, 3, 127 Let b = -1 - -100. Let v = -52 + b. List the prime factors of v. 47 Let o(w) = -10*w - 8. Let r(q) be the first derivative of -q**3/3 + 39*q**2/2 + 32*q - 1. Let j(i) = -9*o(i) - 2*r(i). What are the prime factors of j(-8)? 2, 5 Suppose -3*t = 5*c - 10, 2*t + 8*c - 6*c = 4. Suppose -910 = -4*j - 3*u - 266, -3*j + 5*u + 512 = t. What are the prime factors of j? 2, 41 Suppose 5*q = a + 17, -3*q = -0*q + 2*a - 5. Suppose -q*s - 2*n = -4*n - 508, n = 2*s - 339. Let x = s - 100. What are the prime factors of x? 2, 5, 7 Let x(f) = -350*f - 5. What are the prime factors of x(-2)? 5, 139 Let y be -6 + (-77)/(-14) - 443/(-2). Suppose -37 - y = -2*r - 4*b, 0 = -3*r + 2*b + 395. What are the prime factors of r? 131 Let u(o) = -2*o - 7. Let h = -10 - -16. Suppose 2*y - h = -22. List the prime factors of u(y). 3 Let c = 25 - 20. Suppose 2*z + 2*d = 144, -d - 360 = -c*z + 3*d. List the prime factors of z. 2, 3 List the prime factors of (((-84)/(-18))/(-7))/((-1)/543). 2, 181 Suppose -2*k + 234 = 1364. Let n be k/(-30) - 1/(-6). Let j = 43 - n. What are the prime factors of j? 2, 3 Let r be 0 + 263 + 45/(-15). Suppose u + 68 = 2*u + 4*h, r = 4*u + 4*h. What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
ird derivative of -8*k**3*p**3*x**2 + 2*k**3*p**2*x**2 - 2*k**3*x**2 - 6*k**2*p**3*x**2 - 56*p**2*x + p**2 wrt p. -48*k**3*x**2 - 36*k**2*x**2 Find the second derivative of -11*r**3 + r**2 + 103*r wrt r. -66*r + 2 What is the second derivative of -k**3*l**2 + 39*k**3*l + 2*k**2*l**2 - 64*k*l**4 + 22*k*l wrt l? -2*k**3 + 4*k**2 - 768*k*l**2 What is the second derivative of -388*y**2*z**2 + 2*y**2 - y - 2*z**2 + 157 wrt y? -776*z**2 + 4 Differentiate -3*t**3 + 3*t**2 - 55*t + 3609 wrt t. -9*t**2 + 6*t - 55 What is the first derivative of -89*c**4*o + 6*c*o + 1871*o wrt c? -356*c**3*o + 6*o What is the derivative of -4*j**2*o + 5*j*o + o + 29 wrt j? -8*j*o + 5*o What is the first derivative of 150*q*x**3 - 4330*q + 9*x**3 wrt x? 450*q*x**2 + 27*x**2 What is the third derivative of 2*a**3*n*u + 2*a**3*n - 105*a**3*u + 11*a**2*n*u - 2*a**2*n + a**2*u wrt a? 12*n*u + 12*n - 630*u Find the second derivative of 389*k**2 + 2*k - 111 wrt k. 778 What is the third derivative of 3607*h**3 - 3*h**2 + 448? 21642 Find the first derivative of f*r**2 + 23*f*r + 54*f + 2*r**2 - 30*r + 4 wrt r. 2*f*r + 23*f + 4*r - 30 Find the third derivative of 4*m**4 - 78*m**3 - 203*m**2 wrt m. 96*m - 468 What is the third derivative of 5098*n**4 + 689*n**2 - 5*n wrt n? 122352*n Find the second derivative of -167*r**3*u**2 - 25*r**3*u - r**2*u**2 + 2*r*u + 4*r wrt u. -334*r**3 - 2*r**2 What is the third derivative of -2*b**4*d*g + 64*b**3*d*g**2 + b**2*d + 436*b*d - 4*g**2 wrt b? -48*b*d*g + 384*d*g**2 What is the derivative of 4*r**2*y**2 - 27*r*y**2 + 4*r + 15*y**2 wrt r? 8*r*y**2 - 27*y**2 + 4 What is the second derivative of 116*l**3 + 168*l? 696*l Differentiate -9*n*p + n + 69 wrt p. -9*n Find the second derivative of 36*x**2 + x + 19 wrt x. 72 Find the first derivative of 477*t**3 + 602. 1431*t**2 Find the first derivative of -1787*v**2*w**2*x**2 - v**2*x**2 + 16*v**2*x - 6*v + 4*w*x**2 + x**2 wrt w. -3574*v**2*w*x**2 + 4*x**2 What is the second derivative of 9*c*r**5 - 2*c*r**4 + c*r**3 - c*r + 10*c - 5*r wrt r? 180*c*r**3 - 24*c*r**2 + 6*c*r Differentiate l**2*n**4 + 871*l**2 - 137*n**4 with respect to n. 4*l**2*n**3 - 548*n**3 What is the third derivative of a**3*v**2*x**3 + 11*a**3*v**2*x**2 + 7*a**3*x + 762*a*v*x**3 + 3*a*x**2 wrt x? 6*a**3*v**2 + 4572*a*v Find the second derivative of 79*d**5*v**2 + 4*d**5 - 4*d*v**2 + 7*d*v + 2*v**2 wrt d. 1580*d**3*v**2 + 80*d**3 What is the third derivative of 8*c**2*p**2*q**3 + c**2*p**2*q**2 + 68*c**2*p*q**2 + c**2*p - 3*c**2*q - 266*c*q**3 + p**2*q**3 + 3*p**2*q wrt q? 48*c**2*p**2 - 1596*c + 6*p**2 Find the second derivative of -2*r**2*s**2 + 74*r**2*s*t**2 - 2*r**2 + 818*s**2*t**2 - 5*s*t**2 + s*t wrt s. -4*r**2 + 1636*t**2 Find the third derivative of -237*i**6 + 3*i**3 - 13*i**2 - 92*i wrt i. -28440*i**3 + 18 Differentiate -16*g**3*v**3 - 8*g**2*v**3 + 2*v**3 - 322 wrt g. -48*g**2*v**3 - 16*g*v**3 What is the third derivative of 29*m**6*y**2 - 4*m**4 - m**3*y**2 - 39*m**2*y**2 + m**2 wrt m? 3480*m**3*y**2 - 96*m - 6*y**2 What is the third derivative of -1533*h**4 + 3*h**3 + 2*h**2 - 1627*h + 1? -36792*h + 18 Find the third derivative of -34*h**4 - 5*h**3 + 6*h**2 + 20*h wrt h. -816*h - 30 What is the third derivative of 3*l**5*w**2 - 72*l**5*w + 6*l**2*w + 2*w**2 + 4*w wrt l? 180*l**2*w**2 - 4320*l**2*w Find the third derivative of 153*n**3 + 58*n**2 wrt n. 918 What is the second derivative of -142*a**5 + 175*a wrt a? -2840*a**3 Find the third derivative of 1873*v**3 + 56*v**2 + 5*v wrt v. 11238 What is the second derivative of 593*y**4 - 9*y**2 - 117*y - 25 wrt y? 7116*y**2 - 18 What is the third derivative of 302*q**3 + 2*q**2 - 107*q wrt q? 1812 Find the third derivative of 467*p**4 - 290*p**2 wrt p. 11208*p Find the second derivative of 336*d*n**5 + 3*d*n**4 - 3*d*n**2 - 2*d*n - 3*d + 2*n - 620 wrt n. 6720*d*n**3 + 36*d*n**2 - 6*d Differentiate -188*n**2*w - 168*n**2 with respect to w. -188*n**2 Find the second derivative of 190*a**2*k**4 - a**2*k**2 - 18*a**2 + 9*k wrt k. 2280*a**2*k**2 - 2*a**2 What is the second derivative of -30*j*p**4 - 2*j*p**2 - j*p + 2*j - 4*p**4 - 21 wrt p? -360*j*p**2 - 4*j - 48*p**2 Find the third derivative of -35*m*q**3*t**2 + 2*m*q**3*v - 2*m*t**2*v - 4*q**3*t*v - 111*q**2*t**2 + 2*q**2 - 2*t**2*v wrt q. -210*m*t**2 + 12*m*v - 24*t*v Find the second derivative of 50*j**4 + j**2*y**2 + 37*j**2 - 256*j*y**2 + y**2 - 4 wrt j. 600*j**2 + 2*y**2 + 74 Differentiate -25898*y + 30329 with respect to y. -25898 What is the second derivative of 37*d*m**2*y + 2*d*m**2 - 3*d*m*y - 2*d*m - d - m**2*y - 2*m**2 + 2*y wrt m? 74*d*y + 4*d - 2*y - 4 Find the third derivative of -11350*x**4 + 2622*x**2 wrt x. -272400*x What is the third derivative of 34*q**4*r - 2*q**4 - 18*q**3*r - 2*q**3 - 15*q**2*r - q**2 + 24 wrt q? 816*q*r - 48*q - 108*r - 12 Differentiate -1291*v**2 + 7089. -2582*v Differentiate -19*l*v**2 - 2*l*v + 9215*l - 2*v**2 + 4*v with respect to v. -38*l*v - 2*l - 4*v + 4 What is the third derivative of -31*h**3*p**4 - 197*h**3*p - 2*h*p**6 + p**2 - p wrt p? -744*h**3*p - 240*h*p**3 Find the first derivative of 465*h**2*x**2 - 7*h**2 - 66*x**2 + 6*x - 3 wrt h. 930*h*x**2 - 14*h Find the first derivative of -23*a**2*h**2 - 2911*a**2 - a*h**2 + 59*h**2 wrt h. -46*a**2*h - 2*a*h + 118*h Find the first derivative of -63*v**3 - 276. -189*v**2 Find the first derivative of -2*a**4 + 45*a**3 - 114 wrt a. -8*a**3 + 135*a**2 Find the third derivative of 206*z**6 - 3*z**3 + 308*z**2 - z wrt z. 24720*z**3 - 18 What is the second derivative of 2*m**2*t**3 - 112*m**2*t - 3*t**5 + 5*t**3 + 2*t wrt t? 12*m**2*t - 60*t**3 + 30*t Find the second derivative of -f**3*g - 11*f**2*g**3 + f*g**2 - f*g + 24*g**3 wrt f. -6*f*g - 22*g**3 Find the first derivative of -5*f*u**2 - 20*f*z**2 + 5*u**2*z**2 + 3*u**2 - 1 wrt f. -5*u**2 - 20*z**2 What is the second derivative of 67*z**4 - 3*z + 35? 804*z**2 Differentiate 66*x**3 - 4*x**2 + x - 2997 wrt x. 198*x**2 - 8*x + 1 What is the third derivative of b**3*g**5 + b**3*g**2 - 40*b**2*g**2 - 3*b*g**5 wrt g? 60*b**3*g**2 - 180*b*g**2 Find the first derivative of 2*k*q**2*z - 6*k*q**2 - 1974*k*z + 2*k - 24*q**2 - q*z + 3 wrt z. 2*k*q**2 - 1974*k - q Find the third derivative of -2*j**4*n**3 + 371*j**4 + j**3*n - 14*j**3 + 11*j**2*n**3 - j**2*n + 20*j*n**3 - 5*j*n**2 wrt j. -48*j*n**3 + 8904*j + 6*n - 84 What is the third derivative of -2*q**2*r**6 + 197*q**2*r**4 + 611*q**2*r**2 - r**2 wrt r? -240*q**2*r**3 + 4728*q**2*r What is the third derivative of -3*l**5 - 101*l**3 + 256*l**2 - 2 wrt l? -180*l**2 - 606 What is the second derivative of -4*b**2*f*h + b**2*f*v - 7*b**2*h*v - b*f*h*v + 12*b*f*v + 3*b*h - 2*f*v - h*v wrt b? -8*f*h + 2*f*v - 14*h*v What is the derivative of -51*q**2*y**3 + q**2*y + 2*q**2 - 46*q wrt y? -153*q**2*y**2 + q**2 Find the third derivative of 69*s**3 - 2*s**2 - 54*s. 414 Find the third derivative of -9*i**3*k**2*z - 4*i**3*k*z + 39*i**2*k**2*z - i*k**2*z + i*z - 2*z wrt i. -54*k**2*z - 24*k*z What is the second derivative of -7367*a**2 - 11236*a? -14734 What is the first derivative of -729*y - 14152 wrt y? -729 What is the second derivative of -47*d**2*s**2 + 74*d**2 + 7*d*s wrt s? -94*d**2 What is the second derivative of 1026*n**2 - 180*n? 2052 Find the first derivative of 510*j - 1242. 510 What is the second derivative of -15961*t**2*u - 2*t*u - 1857*u wrt t? -31922*u What is the derivative of -32*h**2*i**2*m + 12*h**2 - 10*h + 2*i**2*m + i**2 wrt m? -32*h**2*i**2 + 2*i**2 What is the third derivative of 581*i**3 + 328*i**2 + 1 wrt i? 3486 Find the second derivative of 96*q**2 - 72*q - 1 wrt q. 192 Find the second derivative of 3*y**3 + 20*y**2 + 82*y - 1. 18*y + 40 What is the first derivative of 2199*x**3 - 2239 wrt x? 6597*x**2 What is the first derivative of -109*k - 1222 wrt k? -109 Differentiate -10*i**2*n + 7735*i**2 - 61*i*n wrt n. -10*i**2 - 61*i What is the third derivative of -371*l**3 + 2797*l**2? -2226 What is the third derivative of -2*d**5 - 1309*d**4 - 187*d**2 wrt d? -120*d**2 - 31416*d Differentiate -b**2*r**2 - 71*b**2*r + b**2 - 4*b*r + 859*b - 2 with respect to r. -2*b**2*r - 71*b**2 - 4*b Find the third derivative of 364*z**6 - 29*z**2 + z wrt z. 43680*z**3 What is the first derivative of -4*t**3 + 21*t**2 + 93*t + 15512
{ "pile_set_name": "DM Mathematics" }
b = 4395 - 1595. What is b rounded to the nearest one thousand? 3000 Let b = -4 + 4.4. What is b rounded to 1 dp? 0.4 Let c = 1 + 1. Let z = -2.2 + c. Round z to one decimal place. -0.2 Suppose 5*k = 922 + 12898. Suppose 4*h - 3*f = -2766, -k = 4*h + 3*f - 5*f. What is h rounded to the nearest one hundred? -700 Let g = -0.19 + 0.04. Let t = 7.15 + g. Let f = -7.0015 + t. Round f to 3 dps. -0.002 Let n be (-10499994)/(-15) - (-2)/5. What is n rounded to the nearest one hundred thousand? 700000 Let t = -126 - -126.00146. What is t rounded to 4 dps? 0.0015 Let f = 155 - 154.99984. Round f to 5 decimal places. 0.00016 Let x = -1339.51 + 1345. Let r = 5 - x. Round r to one dp. -0.5 Let q = 492.263 - 492. Round q to two dps. 0.26 Let g be (-87)/(-3 - (-18)/4). Round g to the nearest ten. -60 Let h(l) = -443*l. Let i be h(1). Round i to the nearest ten. -440 Let g = 291.9999879 - 292. Round g to 6 decimal places. -0.000012 Let f = -20.7 - 0.3. Let k = -6 + f. Let h = 27.0013 + k. Round h to 4 dps. 0.0013 Let f = 28 + -20. Let l = f + -8. Suppose 3*c + 33327 - 129327 = l. What is c rounded to the nearest ten thousand? 30000 Let x(m) = -469*m - 27. Let c be x(17). Round c to the nearest 10000. -10000 Let f(t) be the second derivative of 28001*t**4/12 + t**3/6 + 5*t. Suppose 2*s = 3*s + 1. Let n be f(s). Round n to the nearest ten thousand. 30000 Suppose k - 3390 = 4*i, -i + 2*i + 13515 = 4*k. Suppose 5*z + 45878 = k. Round z to the nearest 1000. -9000 Let g = 0.37 + 28.93. Let t = -28 + g. Let x = 1.252 - t. Round x to two dps. -0.05 Suppose -3*n - 4*o + 95 + 749 = 0, 0 = -5*n + 4*o + 1364. Let a(x) = -8*x - 10. Let r be a(7). Let h = n + r. Round h to the nearest one hundred. 200 Let q(i) = -i**3 + i**2 + 3*i - 3. Let v be q(2). Suppose w + 4*w - 20 = 0. Let u be v/((-2)/w) + -10902. Round u to the nearest one thousand. -11000 Let p = -780922 - -526922. What is p rounded to the nearest ten thousand? -250000 Let n = 0 + 2. Let o = 31969027 - 20969025. Let c be n/5 - o/5. What is c rounded to the nearest one million? -2000000 Suppose 3*h + 5 = -5*u, 2*u - 5*h - 18 = 11. Let b be (-10)/6 - u/6. Let q be b/4 + (-2956)/8. Round q to the nearest 100. -400 Let g be ((-24)/6 - 47999) + 3. Round g to the nearest 10000. -50000 Let m = -0.036069 - -0.036. Round m to 5 decimal places. -0.00007 Let n(r) = -45001*r**3 - 4*r**2 - 4*r. Let l be n(-2). Round l to the nearest one hundred thousand. 400000 Let p = 2152776.62999957 + -2152769.83. Let k = p + -6.8. What is k rounded to seven decimal places? -0.0000004 Let t(d) = -d**2 + 6*d. Let f be 1/((4/3)/4). Suppose 0 = -f*l - 2*j + 3*j + 18, 5*l + 5*j = 30. Let p be t(l). Round p to the nearest one thousand. 0 Let j = 230.2119 - 230.6. Let g = j + 0.0411. Let t = g - -0.37. Round t to two decimal places. 0.02 Let d(r) = -8160*r**3 + 3*r**2 + 15*r. Let g be d(-5). Round g to the nearest one hundred thousand. 1000000 Let j = -25.54 - -26. Let n = j - 18.46. Let m = -18.088 - n. What is m rounded to 2 dps? -0.09 Let k = 8164 - 14867. Let i = k + 6702.7023. Let g = -0.311 - i. Round g to three decimal places. -0.013 Let o(u) be the second derivative of 39*u**5/2 + u**4/12 - u**3/2 + u**2 + 3*u. Let q be o(2). Suppose -880 = -4*p + q. Round p to the nearest ten thousand. 0 Let n = 8 - 6. Let c = -6 + 10. Suppose 106 = -n*v - c*u, v + u + 240 = -3*v. Round v to the nearest 10. -60 Suppose 4*g - m = 12, 2*g - 3*m = g - 8. Suppose g*w = 3*w. Suppose -2*l + 3*p = -5*l - 2091, 5*p - 15 = w. Round l to the nearest one hundred. -700 Suppose -z = -749021 - 1908909. Suppose 4*v + z = -6222070. Round v to the nearest one hundred thousand. -2200000 Let d = 64.792 - 65. What is d rounded to two dps? -0.21 Suppose 0*z + 27 = z. Let w = -15 + z. Suppose r + 2*r = w, 3*r + 1349988 = -3*o. What is o rounded to the nearest one hundred thousand? -500000 Let q(c) be the third derivative of -3813*c**5/20 + c**4/4 + 5*c**2. Let f be q(4). Round f to the nearest ten thousand. -180000 Let x = 147.822699 - 139.79461844. Let s = 7.94808 - x. Let b = -0.08 - s. What is b rounded to seven decimal places? 0.0000006 Let j(c) = -262*c**2 - c - 4. Let y be j(-2). Round y to the nearest 100. -1100 Suppose 5*w + 670985 + 84015 = 0. What is w rounded to the nearest ten thousand? -150000 Let s = -95833348.99999958 + 95833348. Let m = -0.8 - 0.2. Let r = m - s. What is r rounded to 7 dps? -0.0000004 Let g = -102 - -48. What is g rounded to the nearest 10? -50 Let j = -8.8644989 + 0.0654089. Let l = 8.8 + j. Round l to four dps. 0.0009 Let y(k) = 1745*k + 1. Let l be y(3). Let u = l + -11796. Let w be (-125)/((-2)/u*-1). What is w rounded to the nearest one hundred thousand? 400000 Let h = 32 + -22. Let r = h + -9.9999986. Round r to six decimal places. 0.000001 Let w(j) = -12125*j**3 + j**2 + j - 2. Let y be w(-2). Round y to the nearest 10000. 100000 Let r = 2.8 - 2.800234. What is r rounded to five decimal places? -0.00023 Let a = -26.00000034 + 26. Round a to seven decimal places. -0.0000003 Let n = 31.6 - 32.054. Let l = 0.084 + n. What is l rounded to 1 dp? -0.4 Let q = 0.264 + -27.664. Let h = q - -24. Round h to the nearest integer. -3 Let a = 2.3 - -0.7. Let x = -208.974006 + 205.974. Let u = x + a. Round u to five decimal places. -0.00001 Let w = 2.08 + -0.18. Let v = w + -1.11. Round v to one dp. 0.8 Let u = 205 - 204.17. Round u to one decimal place. 0.8 Let w = 20 - 16. Suppose c = w*c - 408. What is c rounded to the nearest ten? 140 Let x(q) = -q**3 + 6*q**2 + 9*q - 10. Let t be x(15). What is t rounded to the nearest one hundred? -1900 Suppose -13184 = -3*j - 4*u, 0 = -4*j + 5*u + 2387 + 15233. Round j to the nearest 1000. 4000 Let p = -4.08 + 5.2. Let b = -1.11899 + p. What is b rounded to four dps? 0.001 Let z = -79 - -67.2. Round z to the nearest integer. -12 Let z be (-159045866)/(-10) + (-6)/(-15). Suppose -z - 8895413 = -4*b. What is b rounded to the nearest one million? 6000000 Let v = 0.466 - 0.466197. What is v rounded to 5 decimal places? -0.0002 Let c = 0.13 + 4.87. Let o = c - 5.17. Let m = 0.1738 + o. What is m rounded to three decimal places? 0.004 Suppose 0*r - 3 = -2*y - 3*r, -2*r + 2 = 3*y. Let c = 6 + -4. Suppose y = l - 0*n + 4*n + 6684, -n + 13404 = -c*l. Round l to the nearest 1000. -7000 Let q = 4.4000116 - 4.4. Round q to 6 dps. 0.000012 Let k = 10287 + 8066. Suppose -5*r = 3*t - k, -8871 = 3*t - 5*r - 27244. Suppose 0 = 3*p + t + 4679. Round p to the nearest one thousand. -4000 Suppose 2*n = -2 - 0. Let f be (-1 - n) + 39932 + 2. Suppose -44004 = 2*b - 2*w, 0 = -2*b + 4*w - f - 4074. Round b to the nearest 10000. -20000 Let r = -13 - -14.1. Let y = r - 1.086. What is y rounded to 2 dps? 0.01 Let j = -1.16 + -72.84. Let p = -116 - j. Let f = -42.00000073 - p. What is f rounded to seven dps? -0.0000007 Let z be (6/(-4))/(9/(-7860)). What is z rounded to the nearest one hundred? 1300 Suppose -3*g - 10 = -4. Let b(r) = -9900*r. Let x be b(g). Suppose q - x = -q. What is q rounded to the nearest one thousand? 10000 Let h = 1 + 2. Suppose -5*x - 5 = h*v, x + v = -3*v - 18. Let j be 910 - (0/x - 0). Round j to the nearest one hundred. 900 Let g = 367.0135 - 0.0135. Let t = 359.86 - g. Let i = -0.74 - t. Round i to the nearest integer. 6 Let q = -0.8771 - -0.88. What is q rounded to 3 dps? 0.003 Let i be -1*12/(-15)*5. Suppose i*r = -2 + 6. What is r rounded to the nearest 10? 0 Let j be 35/(16/18 - 1). Let o = j - -685. What is o rounded to the nearest 100? 400 Let v = -35.4 + 5.4. Let w = -30.43 - v. What is w rounded to one decimal place? -0.4 Let h = -501.7 + 531. Let i = h + -25. What is i rounded to 0 decimal places? 4 Let a = -31319604200 + 31319223352.00006. Let m = a - -380857. Let u = m - 9. Round u to 4 dps. 0.0001 Let t(q) = -3*q**3 - 15*q**2 - 6*q + 24. Let h be t(-12). What is h rounded to the nearest one hundred? 3100 Let k = 0 + 1. Let r be k*(-4 + 2 - 160). Round r to the nearest ten. -160 Suppose 4298 - 2471180 = -3*t. Suppose 2*b + t = -137706. Round b to the nearest one hundred thousand. -500000 Let q(t) = -637*t**3 - 2*t**2 + t - 1. Let z be q(-2). Suppose -2*o + 7515 = -z. Round o to the nearest 1000. 6000 Suppose 3758 = 3*s - 2242. What is s rounded to the nearest 10000? 0 Let v = 2.523 - -119.577.
{ "pile_set_name": "DM Mathematics" }
le of 8 and o? 56 Let u(g) = 4*g**3 + 413*g**2 + 112*g + 957. What is the least common multiple of u(-103) and 1/(-4) + 133/4? 330 Let x = 1260 - 1144. Let a = 3338/3 - 1122. Find the common denominator of 0 - 9/12 - (-193)/x and a. 174 Suppose -3*a + 35673 = -60438. Let b = a - 62825/2. Let o = 668 - b. What is the common denominator of -6/79 and o? 158 Suppose 548 = -2*a + 78. Let c = a + 193. What is the common denominator of -73/3 and c? 3 Suppose -o = 24368 - 137157. Let b = o + -1234107/11. Let c = b + -593. Calculate the common denominator of -12/5 and c. 55 Let b = -671 + 1571. Suppose b = -4*k + 34*k. What is the smallest common multiple of 8 and k? 120 Let s = 20901 + 25697. Let q = 1956943/42 - s. What is the common denominator of -31/60 and q? 420 Let o(m) = -m**2 - 8*m + 21. Let i be o(2). Find the common denominator of -113/492 and (i/(-4) - (-3)/(-84))/4. 3444 Let o = 65737/12 + -5468. Let r = -1987 - -12125/6. Let k = r - o. Calculate the common denominator of -47/10 and k. 20 Suppose 3*i - 1185 = -2*i. Suppose 5*q = 20*q - 375. What is the common denominator of -133/18 and i/(-20) - (-15)/q? 36 Calculate the common denominator of -40 and 6*(-12)/(-252) - (-14438)/(-55188). 3942 Let c be 1*(-2)/(-2)*(70 + -34). Calculate the common denominator of -139/72 and -2 + (6/(-8))/((-18)/c). 72 Suppose w = -0*w + 67. Suppose -w = -5*f + r + 1, 4 = 2*r. What is the smallest common multiple of f and 930? 6510 Let b be 4/6 + (98/(-21) - -7). Let s = -130/27 - -571/27. What is the common denominator of s and 3154/836 + b/(-2)? 33 Let l(g) = -g**2 + 54*g - 683. Calculate the smallest common multiple of l(29) and 126. 126 Suppose 1661 + 4025 = 4*n + 1510. What is the least common multiple of 1044 and n? 1044 Suppose 5*q - 2*f + 274 = 0, -12*q - 295 = -7*q + 5*f. What is the common denominator of -143/12 and ((-66)/1656)/(4 + 220/q)? 276 Suppose 0 = 4*b + 3*k - 128, k + 8 = -k. Calculate the lowest common multiple of ((-12)/(240/350))/((-3)/6) and b. 35 Let a = 140308/13 + -99619681/9230. What is the common denominator of 69/9230 and a? 9230 Let n = 259437/22 + -11794. Calculate the common denominator of 53/4 and n. 44 Let w(c) = c**3 + c**2 - 3*c + 1. Let k be w(2). Suppose k*u - 3*u = 28. Let a(i) = i**3 + i**2 - 12*i + 1. Calculate the lowest common multiple of a(-4) and u. 7 Let i = 2812 + -33719/12. Let a be -1 + (8/14 - 0). Let x = a + 5/42. What is the common denominator of x and i? 84 Let b be (1 + -2*41)*(-966)/207. Suppose 0 = 111*u - 93*u - b. What is the smallest common multiple of 2/4 + (-20)/(-8) and u? 21 Calculate the common denominator of 25/306 and ((-28)/98)/(2295/(-70)). 918 Let y = 281/6 - 319/6. Let l be 17/(-340)*5/7302. Let t = l + -603619/379704. What is the common denominator of t and y? 39 What is the smallest common multiple of (219 - 220)*(4/((-12)/(-9)) - 797) and 24? 9528 Suppose 0 = -2*a - 3*d + 63, -4*a + 2*d - 74 + 224 = 0. What is the common denominator of 33/15 + 2/3 and (a/(-3564))/(1/69)? 165 Find the common denominator of 26/847 and (1*(-36)/56)/((-234)/174*1). 22022 Let j = 143275/21 + -6822. Find the common denominator of -23/87 and j. 609 Let q = 148 + 305. Let g = -433 + q. Calculate the smallest common multiple of 12 and g. 60 Suppose o - 77 = -4*g, 2*g = -4*o + 5 + 23. Let j(m) = m + 7. What is the smallest common multiple of j(5) and g? 60 Suppose -82423 - 28593 - 70100 = -43*z. What is the lowest common multiple of 51 and z? 71604 Calculate the smallest common multiple of 132 and -2 + 0 + 0 + 167. 660 Let d = 7538 + -7466. What is the lowest common multiple of d and 162? 648 Suppose -6*x = -9*x + 42. Let h be x/(-7) + (-80932)/22. Let l = h + 3676. Calculate the common denominator of -73/3 and l. 33 Let k = -8 + 52. Let u = 179 + -175. Suppose -2*f + 90 = 5*b, 6 = u*b - 5*f - 33. Calculate the smallest common multiple of b and k. 176 Calculate the common denominator of -21/218 and ((-44)/(-7))/(216/(-168)). 1962 Let q be (-5)/(-10)*-12602*-1. Suppose -6*b + 2825 + q = 0. Let m = -3127/2 + b. Find the common denominator of m and -76/15. 30 Let h = 62 - -22. Suppose 13*z = 55*z + 157 - 409. What is the smallest common multiple of z and h? 84 Let o = 1928452789/354 - 5447591. Let m = -1/708 - o. Calculate the common denominator of (-41)/(-2) + 2/8 and m. 4 Suppose -10*t + 78073 - 3025 - 3608 = 0. Calculate the lowest common multiple of t and 16. 14288 Let z be (-9)/((-648)/(-16)) - (-74)/9. Suppose -8*t = z*t - 176. Calculate the smallest common multiple of t and 4. 44 Let g = 10053 - 9981. What is the smallest common multiple of 1520 and g? 13680 Let s = 31/1382 - -85631/33168. What is the common denominator of 35/12 and s? 48 Suppose 12*u - 14*u - 8858 = 0. Calculate the common denominator of -13/9 and u/(-5562) - 5*(-1)/(-6). 27 Suppose -8*n - 3*n + 165 = 0. Suppose -8 = -19*y + n*y. Let p(j) = -j**2 - 6*j + 4. Calculate the lowest common multiple of y and p(-5). 18 Let m = 66 + -48. Suppose 3*p - m = -d, 4*d + 8 + 5 = 5*p. Let o(g) = -6*g + 9. Calculate the smallest common multiple of d and o(0). 9 Suppose -4*v - r + 0 - 7 = 0, 0 = -v - 5*r - 16. Calculate the common denominator of (v/276)/(3/66) and (1 - 42/(-16))*3744/10296. 1518 Find the common denominator of 6/33 + (-3 - 5/(-6)) and (-488)/(-128) + (-3)/(-2). 528 Suppose 4*u - 1 = 83. Suppose -912 = -5*o - q, -2*q + 157 + 386 = 3*o. What is the lowest common multiple of o and u? 1281 Let g(w) = -11*w + 33. Let n be g(3). Suppose 0 = x - 2*h - 61 - 25, n = -2*x - 4*h + 196. Calculate the least common multiple of x and 8. 184 Suppose -1401 + 6156 = -15*w. Let j = 331 + w. Calculate the smallest common multiple of 35 and j. 70 Let x(y) = 530*y**2 + 16*y + 8. Calculate the lowest common multiple of x(2) and 16. 2160 Suppose -4*v - 174 = -h - 30, 2*v - 4*h = -86. Let m = 74 + v. Suppose 0 = -3*p - 2*p + 15. Calculate the lowest common multiple of p and m. 39 Let k be 28280/(-80)*(-12)/7. Let m = k - 7163/12. What is the common denominator of m and 49/27? 108 Let m = 3500023739/96396 - 57859/831. Let a = -36240 + m. What is the common denominator of 7/20 and a? 580 Let i = 5 - 3. Let k be 0 - i*12/(-8). Suppose k*c - s - 55 = 0, 5*s = -0*c + c + 5. Calculate the least common multiple of 6 and c. 60 What is the common denominator of -99/992 and 1309/112 + (-13 - 1)? 992 Suppose -10*x + 11*x + v = 32, -4*x - 2*v + 130 = 0. What is the least common multiple of 3256 and x? 9768 Suppose -11*c = -15*c + 48. Suppose 3*y + 2*a + c = -8, -3*a - 32 = 5*y. What is the smallest common multiple of (3 + 1)/4 - y and 6? 30 Let o(s) = 164*s - 2618. Suppose y - 4*y = -3. Calculate the least common multiple of o(16) and (2 - 1) + 7 + y. 18 Suppose 0 = -66*u + 52*u + 308. Calculate the least common multiple of ((-2)/1)/((-13)/(429/u)) and 9. 9 Let h = 9278 - 9280. Let d be (0 + 0)/(3 + -2). Find the common denominator of (-115)/130*(h + d) and -31/9. 117 Suppose 7*h - 5*r = 4*h + 820, -4*h + 1112 = -2*r. Calculate the lowest common multiple of 84 and h. 840 What is the least common multiple of 1085 and 6/6*(18 + -11)? 1085 Let a = 3263 + -205574/63. What is the common denominator of -59/168 and a? 504 Suppose -64*u - 159545 + 355750 = -306835. What is the smallest common multiple of 21 and u? 55020 Let g(i) = -19*i - 147. Suppose -2*f - 26 = 3*n, -22*n = -23*n + f - 7. Calculate the least common multiple of g(n) and 146. 730 Let q be ((-20)/(-50))/(1 - (-349)/(-350)). Let y = q + -14. Let i = 139 - y. Calculate the least common multiple of i and 4. 52 Let k = -19/11640 + -6242/1455. What is the common denominator of (-2)/3 + (-49)/(-12) and k? 24 Let v be (2695/(-10))/11*2. Calculate the common denominator of v/(-7) - 796/128 and -139/12. 96 Let p = 54 - 118. Let k = -2636/11 - -20769/88. Calculate the common denominator of (-2)/(p/3)*116 and k. 8 Suppose 5*c = -5*p - 3 + 38, 15 = 3*p. What is the lowest common multiple of 640 and c? 640 Let z(u) = -u**3 - 31*u**2 - 4*u - 96. Let r be z(-31). Suppose -48 = -k - r. Calculate the least common multiple of k and 10. 20 Let s = 187/3598 - 26897/215880. Find the common denominator of -109/105 and s. 840 What is the common denominator of 1073/6380 - 2/(-8) and -101/44? 220 Let m(i) = 8*i - 15. Let v be m(4). Suppose -1
{ "pile_set_name": "DM Mathematics" }
*4/3 - 1617*u**3 + 4127*u**2/3 + 4850*u/3 - 1496 = 0. What is u? -374, -1, 1, 12 Let -2*l**3 + 7774*l**2 - 1786032*l + 5288184 = 0. Calculate l. 3, 242, 3642 Solve -2*n**2 + 22464*n + 58476320 = 0 for n. -2180, 13412 Factor c**5/4 - 1339*c**4/2 + 2667541*c**3/4 - 292779045*c**2 + 47810009025*c. c*(c - 774)**2*(c - 565)**2/4 Find b such that -4*b**3 + 47349508*b**2 - 94699004*b + 47349500 = 0. 1, 11837375 Find c, given that c**4 - 1204*c**3 + 43102*c**2 + 89820*c + 45513 = 0. -1, 39, 1167 Factor 5*f**3 - 306555*f**2 - 2759450*f + 3066000. 5*(f - 61320)*(f - 1)*(f + 10) Suppose -3*x**5 + 1570557*x**4 - 205553322237*x**3 - 205556463357*x**2 + 205553322240*x + 205554892800 = 0. What is x? -1, 1, 261760 Factor -o**2/6 - 2481575*o/3 - 6158214480625/6. -(o + 2481575)**2/6 Factor -s**3 + 14750*s**2 + 458081*s + 1921530. -(s - 14781)*(s + 5)*(s + 26) Solve -5*c**3 + 10885*c**2 + 2886720*c + 33064560 = 0 for c. -228, -12, 2417 Suppose -415*j**2/3 - 8707*j/3 + 56 = 0. What is j? -21, 8/415 Factor 3*z**3 + 46521*z**2 - 139620*z - 465300. 3*(z - 5)*(z + 2)*(z + 15510) Determine t so that 2*t**2 + 5352442*t + 37466996 = 0. -2676214, -7 Solve r**3 - 3104*r**2 + 76975*r = 0. 0, 25, 3079 Factor -i**4 + 6724*i**3 - 114061*i**2 + 281694*i. -i*(i - 6707)*(i - 14)*(i - 3) Suppose 2*l**4/9 + 32*l**3 - 23512*l**2/9 + 2272*l + 7394816/9 = 0. Calculate l. -202, -16, 22, 52 Let 578*w**4/9 - 74936*w**3/9 + 3460028*w**2/9 - 7427480*w + 51106050 = 0. What is w? 337/17, 45 Let -2*c**4/7 - 1426*c**3/7 - 121572*c**2/7 = 0. What is c? -614, -99, 0 Suppose o**3 - 6376*o**2 - 372335*o - 5385258 = 0. Calculate o. -31, -27, 6434 Factor o**2/3 + 46204*o/3 - 123232. (o - 8)*(o + 46212)/3 Determine h, given that -1831*h**2/4 - 1391*h - 213/4 = 0. -3, -71/1831 What is z in 2512*z**3/3 + 32026*z**2/3 - 69131*z/6 + 55/6 = 0? -55/4, 1/1256, 1 Determine t, given that 39931*t**3/3 + 1623860*t**2 + 1610469*t - 242/3 = 0. -121, -1, 2/39931 Suppose -m**2/5 + 1907*m/5 - 268362/5 = 0. Calculate m. 153, 1754 Suppose -y**4 - 6431*y**3 - 70643*y**2 - 147625*y + 224700 = 0. Calculate y. -6420, -7, -5, 1 Find s, given that -s**5/5 + 9213*s**4/5 + 1107151*s**3/5 + 31338443*s**2/5 - 20380710*s + 69448744/5 = 0. -61, 1, 2, 9332 Solve 4*p**2/7 + 944688*p/7 - 18895360/7 = 0. -236192, 20 Factor -5*w**3 + 203140*w**2 + 20*w - 812560. -5*(w - 40628)*(w - 2)*(w + 2) Factor 430*q**3/3 + 39577*q**2/3 + 911444*q/3 + 35972/3. (q + 46)**2*(430*q + 17)/3 Let k**3 - 3245*k**2 + 404950*k = 0. What is k? 0, 130, 3115 Determine p so that -3*p**2 + 86787*p - 4245360 = 0. 49, 28880 Let v**4/6 - 18803*v**3/3 + 118151239*v**2/2 - 8465347852*v/3 + 16221938686/3 = 0. Calculate v. 2, 46, 18779 Find b, given that -4*b**2/5 - 19106*b/5 - 291338 = 0. -4699, -155/2 Factor 6457568881*j**4/3 - 6465122627*j**3 + 22667865*j**2 - 19881*j. j*(j - 3)*(80359*j - 141)**2/3 Determine q, given that 5*q**3 - 229715*q**2 + 1148450*q = 0. 0, 5, 45938 Let -h**3/2 - 967405*h**2/2 + 17413776*h - 156725442 = 0. Calculate h. -967441, 18 Factor -5*m**3 - 1274745*m**2 - 81249378120*m - 81248103380. -5*(m + 1)*(m + 127474)**2 Suppose 3*a**4 - 89312934*a**3 + 664732991055531*a**2 + 5317868215465848*a + 10635739288946352 = 0. Calculate a. -4, 14885493 Factor 4*o**2 + 501300*o - 2005264. 4*(o - 4)*(o + 125329) Solve p**2/7 - 4549*p/7 - 1189656/7 = 0 for p. -248, 4797 What is q in -2*q**5 + 20528*q**4 - 654966*q**3 + 1207312*q**2 + 654968*q - 1227840 = 0? -1, 1, 2, 30, 10232 Determine p so that 5*p**3 - 124635*p**2 - 28359045*p - 1605893285 = 0. -113, 25153 Find g, given that -g**2/4 - 8913797*g/2 - 79455776957209/4 = 0. -8913797 Factor 3*z**2/4 - 201969*z/4 - 38652420. 3*(z - 68080)*(z + 757)/4 Determine g so that 3*g**4/8 + 117*g**3/2 - 23013*g**2/8 + 50001*g/4 + 15435 = 0. -196, -1, 6, 35 Find o such that 2*o**3 + 2248820*o**2 + 632205140800*o + 31604635240000 = 0. -562180, -50 Find g such that 3*g**3/4 + 6003*g**2/4 + 522828*g - 243343440 = 0. -1128, 255 Solve 3*i**2 + 624258*i - 3745656 = 0. -208092, 6 Solve k**2/4 + 5657028*k + 32001965792784 = 0. -11314056 Determine w, given that 84*w**4 - 111184*w**3 - 7876588*w**2 + 4907992*w - 756704 = 0. -68, 2/7, 1/3, 1391 Solve -3*k**3 - 34842*k**2 - 95131971*k + 35534022084 = 0 for k. -5973, 332 Let 3*v**3/2 - 2508*v**2 + 54450*v = 0. Calculate v. 0, 22, 1650 What is v in 2*v**3 + 316772*v**2 + 6967970*v - 7284744 = 0? -158364, -23, 1 What is y in 4*y**2/9 + 463094992*y/9 + 13403560725967504/9 = 0? -57886874 Let -4*m**4/5 + 248912*m**3/5 - 52387288*m**2/5 + 557417616*m - 546989940 = 0. Calculate m. 1, 105, 62017 Solve 4*w**4/5 - 3773048*w**3/5 + 1186315463616*w**2/5 - 124329419410093832*w/5 - 870364066622539076/5 = 0. -7, 314423 Solve -2*g**4/5 - 292728*g**3/5 - 10706525064*g**2/5 + 342908621056*g/5 = 0. -73198, 0, 32 Find c, given that -4*c**4 - 19644*c**3 - 3165576*c**2 - 69529040*c + 5468517600 = 0. -4745, -98, 30 What is z in -5*z**3 - 1035*z**2 + 107540*z = 0? -283, 0, 76 Find r, given that 3*r**2 - 2992194*r - 5984400 = 0. -2, 997400 Suppose -2*h**2 + 5436926*h - 76116572 = 0. Calculate h. 14, 2718449 Determine w so that -2*w**5/17 + 18098*w**4/17 - 12449996*w**3/17 + 12413804*w**2/17 + 12449998*w/17 - 12431902/17 = 0. -1, 1, 749, 8299 Factor y**2/3 + 5828*y/3 - 6817668. (y - 2466)*(y + 8294)/3 Factor 2*h**3 - 10286668*h**2 - 205733960*h - 1028670800. 2*(h - 5143354)*(h + 10)**2 What is q in -2*q**2 + 63030400*q - 496603915520000 = 0? 15757600 Let -4*n**2 - 11104*n + 12778500 = 0. Calculate n. -3651, 875 Find i such that -3*i**4 + 89868*i**3 - 595893324*i**2 - 1155225101184*i - 495729010732032 = 0. -814, 15792 Let -h**3/4 + 1159*h**2/2 + 11621*h/4 - 6969/2 = 0. What is h? -6, 1, 2323 Let -83275709*n**3 - 1060576*n**2 - 1156*n + 16 = 0. Calculate n. -2/253, 4/1301 Suppose -m**5/9 - 1163*m**4 - 3401653*m**3/3 + 89944007975*m**2/9 - 24594105809312*m/3 - 8208030181156 = 0. Calculate m. -6546, -1, 1313 Factor 2*f**3 - 2468952*f**2 - 34565622*f - 120980020. 2*(f - 1234490)*(f + 7)**2 Factor -2*q**2/7 - 1286813*q/7 - 643406/7. -(q + 643406)*(2*q + 1)/7 Suppose -2*j**2/17 - 14567544*j/17 + 43702650/17 = 0. Calculate j. -7283775, 3 Solve 4*o**2 - 1540789648*o + 148377046211497744 = 0. 192598706 Factor 5*c**5 - 66400*c**4 + 1061120*c**3. 5*c**3*(c - 13264)*(c - 16) What is r in 120*r**2/7 - 154*r/3 - 5704/21 = 0? -124/45, 23/4 Find t, given that 514*t**4 + 2046*t**3 + 2530*t**2 + 978*t - 20 = 0. -2, -1, 5/257 Let -3*j**3 + 275*j**2 - 4381*j - 1491 = 0. Calculate j. -1/3, 21, 71 Determine f so that 22*f**5 - 1396*f**4/7 + 3632*f**3/7 - 692*f**2/7 - 5514*f/7 + 360/7 = 0. -1, 5/77, 3, 4 Suppose -6*t**3 + 328314740*t**2 + 218876496*t = 0. What is t? -2/3, 0, 54719124 Factor -3*a**4 - 7222416*a**3 + 144449220*a**2 - 722247600*a. -3*a*(a - 10)**2*(a + 2407492) Determine p, given that p**5/9 + 43*p**4/3 - 4835*p**3/9 + 6869*p**2/3 + 97570*p/9 + 8000 = 0. -160, -2, -1, 9, 25 Factor 2*j**3/5 + 1060768*j**2/5. 2*j**2*(j + 530384)/5 Factor -f**3/6 + 1271*f**2/6 + 277780*f/3. -f*(f - 1615)*(f + 344)/6 Factor -2*p**3/9 - 2486402*p**2/9 - 772763174270*p/9 + 772785552050. -2*(p - 9)*(p + 621605)**2/9 Factor -s**2 - 22733*s + 40414230. -(s - 1657)*(s + 24390) Factor -5*w**2/2 - 21415*w + 8405480. -5*(w - 376)*(w + 8942)/2 Determine g so that -484*g**4 - 792132*g**3 + 32754816*g**2 - 11832272*g + 1073280 = 0. -1677, 2/11, 40 Let -t**2/5 - 1347574*t/5 + 2695152/5 = 0. Calculate t. -1347576, 2 Factor -11762*u**2 + 235270*u - 600. -2*(u - 20)*(5881*u - 15) Determine q so that -4*q**3 - 325816*q**2 = 0. -81454, 0 Let 3*t**4 - 2202*t**3 + 398487*t**2 + 2034468*t + 2457324 = 0. Calculate t. -3, -2, 366, 373 Factor -44944*z**2 - 21394616*z - 2546110681. -(212*z + 50459)**2 Factor -w**3/8 + 1949143*w**2/8 - 118725041101*w + 2611891942979/2. -(w - 974566)**2*(w - 11)/8 Find q such that -2*q**3/5 - 52456*q**2 = 0. -131140, 0 Find v, given that v**3/4 + 11474*v**2 - 7322905*v/4 - 1842200 = 0. -46055, -1, 160 Factor -4*x**2 - 1126000*x - 79242250000. -4*(x + 140750)**2 Let 24*x**3/7 - 1476672*x**2/7 + 22713430350*x/7 + 22714907046/7 = 0. What is x? -1, 61529/2 Solve -2926*g**4 - 1223300*g**3 - 4942424*g**2 - 380848*g + 13248 = 0 for g. -414, -4, -2/19, 2/77 Factor -2*t**3 - 7292*t**2 - 5366144*t - 1120403136. -2*(t + 452)**2*(t + 274
{ "pile_set_name": "DM Mathematics" }
replacement from {r: 9, f: 10}. 5/19 Two letters picked without replacement from rghfgeeggeghgghe. What is prob of sequence hf? 1/80 Calculate prob of sequence ghs when three letters picked without replacement from ugghhgugxusg. 1/132 What is prob of sequence uu when two letters picked without replacement from {u: 2, v: 1}? 1/3 Three letters picked without replacement from {j: 6, q: 4}. What is prob of sequence jqj? 1/6 Two letters picked without replacement from {y: 2, n: 2, q: 5, b: 4, e: 1}. What is prob of sequence en? 1/91 Calculate prob of sequence vl when two letters picked without replacement from vvvvkklvkkvkv. 7/156 Three letters picked without replacement from {t: 1, m: 4, x: 5, z: 1, s: 4}. What is prob of sequence tmz? 2/1365 Calculate prob of sequence ddrd when four letters picked without replacement from {k: 1, d: 3, i: 3, e: 2, r: 1}. 1/840 Two letters picked without replacement from {t: 1, s: 1, h: 2}. Give prob of sequence sh. 1/6 Calculate prob of sequence rod when three letters picked without replacement from jjlrjjod. 1/336 Calculate prob of sequence tpv when three letters picked without replacement from {v: 2, p: 1, a: 2, d: 4, t: 1, c: 2}. 1/660 Calculate prob of sequence wwg when three letters picked without replacement from gwgwwgg. 4/35 Calculate prob of sequence qmzp when four letters picked without replacement from {y: 1, z: 1, p: 1, d: 1, m: 1, q: 2}. 1/420 Two letters picked without replacement from {e: 1, w: 1, i: 2, l: 3}. What is prob of sequence iw? 1/21 Calculate prob of sequence gg when two letters picked without replacement from gmxmxtmmtt. 0 Three letters picked without replacement from {g: 8, h: 4, e: 2}. What is prob of sequence ggg? 2/13 Calculate prob of sequence kv when two letters picked without replacement from fssvvksfufm. 1/55 Three letters picked without replacement from {l: 4, y: 1, o: 1, r: 5, u: 3}. What is prob of sequence rou? 5/728 What is prob of sequence dvv when three letters picked without replacement from {d: 3, v: 3}? 3/20 What is prob of sequence ssw when three letters picked without replacement from {s: 6, u: 2, w: 3, t: 4}? 3/91 What is prob of sequence ppp when three letters picked without replacement from {l: 2, p: 3, e: 3}? 1/56 Two letters picked without replacement from aigiabz. What is prob of sequence az? 1/21 Three letters picked without replacement from nvqsz. What is prob of sequence vqq? 0 Calculate prob of sequence zr when two letters picked without replacement from {z: 1, m: 1, r: 1}. 1/6 Two letters picked without replacement from sesesesseeeseeqqqs. What is prob of sequence es? 28/153 What is prob of sequence naa when three letters picked without replacement from {a: 2, n: 9}? 1/55 Calculate prob of sequence un when two letters picked without replacement from {a: 2, u: 1, n: 2}. 1/10 What is prob of sequence njtj when four letters picked without replacement from {t: 3, n: 4, j: 4}? 1/55 Calculate prob of sequence jx when two letters picked without replacement from xztjzxxx. 1/14 What is prob of sequence xjxx when four letters picked without replacement from kxjxakaaaaxkjakaa? 1/4760 Four letters picked without replacement from {v: 3, h: 6, r: 4}. What is prob of sequence vrrh? 9/715 Three letters picked without replacement from btxbbqbbbxxqbbtx. What is prob of sequence bqq? 1/210 Calculate prob of sequence bqn when three letters picked without replacement from {b: 1, w: 2, u: 2, g: 1, q: 1, n: 2}. 1/252 Calculate prob of sequence ydd when three letters picked without replacement from yynyypyydydyy. 3/286 Three letters picked without replacement from rfffgfgffrrnrffrfff. What is prob of sequence ngf? 11/2907 Two letters picked without replacement from jjjjjjjjqjjjjjjjjq. What is prob of sequence jj? 40/51 Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr. 1 What is prob of sequence hky when three letters picked without replacement from ffkhkkyfkffhff? 1/273 Three letters picked without replacement from {m: 1, n: 2, o: 1, s: 3}. What is prob of sequence osn? 1/35 Calculate prob of sequence jjj when three letters picked without replacement from {s: 7, j: 5}. 1/22 Calculate prob of sequence vrbp when four letters picked without replacement from {p: 1, b: 1, x: 2, r: 3, v: 3}. 1/560 Three letters picked without replacement from {j: 7, l: 5, u: 1, b: 1}. What is prob of sequence ulb? 5/2184 What is prob of sequence lel when three letters picked without replacement from legli? 1/30 Two letters picked without replacement from {x: 8, l: 2, q: 5}. What is prob of sequence xq? 4/21 Calculate prob of sequence pypu when four letters picked without replacement from upypp. 1/20 What is prob of sequence gxxx when four letters picked without replacement from {x: 10, g: 2}? 4/33 What is prob of sequence fnpp when four letters picked without replacement from ppnphnhpphhfnnfpf? 3/476 What is prob of sequence dq when two letters picked without replacement from {q: 15, d: 5}? 15/76 Four letters picked without replacement from rixgbgiigbio. Give prob of sequence igbg. 2/495 Calculate prob of sequence mp when two letters picked without replacement from ccpmmjjcjcm. 3/110 Two letters picked without replacement from {n: 1, z: 1, s: 1, k: 1, m: 1, c: 2}. What is prob of sequence mz? 1/42 What is prob of sequence lw when two letters picked without replacement from {l: 1, i: 3, b: 2, t: 1, w: 1, f: 4}? 1/132 Calculate prob of sequence xu when two letters picked without replacement from {h: 1, x: 1, u: 1}. 1/6 What is prob of sequence eeff when four letters picked without replacement from {f: 7, a: 1, e: 6}? 15/286 Calculate prob of sequence ct when two letters picked without replacement from cccbcbccctcocbppb. 9/272 Four letters picked without replacement from {y: 4, m: 6}. What is prob of sequence ymmy? 1/14 What is prob of sequence fnnf when four letters picked without replacement from mffmmmmmffnfmnffmn? 7/2040 Four letters picked without replacement from kxpkpkcccczkcp. What is prob of sequence pcpp? 5/4004 Calculate prob of sequence mfw when three letters picked without replacement from wftftttwmmtm. 1/110 Calculate prob of sequence epo when three letters picked without replacement from ebbbpbxobeeb. 1/440 Two letters picked without replacement from qmmvsvkqqkqvqkz. Give prob of sequence mz. 1/105 Three letters picked without replacement from {p: 5, o: 5, z: 5, k: 2}. What is prob of sequence ppp? 1/68 Calculate prob of sequence cs when two letters picked without replacement from {v: 1, c: 1, y: 5, s: 2}. 1/36 Calculate prob of sequence ha when two letters picked without replacement from hphpahhaahahhhhaahah. 77/380 Four letters picked without replacement from cwwc. What is prob of sequence wcwc? 1/6 Three letters picked without replacement from ppippciiiicp. Give prob of sequence iic. 1/33 Two letters picked without replacement from {i: 3, l: 6, m: 1, s: 4}. Give prob of sequence ls. 12/91 Two letters picked without replacement from ccccccmmcmfmc. Give prob of sequence fc. 2/39 Calculate prob of sequence rdy when three letters picked without replacement from hmdmydmrmndmdd. 5/2184 Two letters picked without replacement from lqazlqlqqllq. Give prob of sequence az. 1/132 What is prob of sequence uu when two letters picked without replacement from uuuxuuxuuux? 28/55 Two letters picked without replacement from {z: 4, t: 2, e: 1, f: 2}. What is prob of sequence fe? 1/36 What is prob of sequence hwqh when four letters picked without replacement from {w: 5, h: 4, q: 1}? 1/84 Calculate prob of sequence etm when three letters picked without replacement from niontnnonmitennmntmm. 1/570 Four letters picked without replacement from {u: 1, a: 1, b: 1, c: 1, s: 2, q: 1}. What is prob of sequence ssbq? 1/420 Two letters picked without replacement from {o: 12, j: 1}. What is prob of sequence oo? 11/13 Two letters picked without replacement from {i: 1, c: 2, b: 1, h: 3, r: 11, o: 1}. Give prob of sequence ch. 1/57 Three letters picked without replacement from {f: 4, u: 7}. What is prob of sequence uuu? 7/33 What is prob of sequence zrzk when four letters picked without replacement from {r: 7, z: 2, x: 2, k: 1}? 7/5940 Calculate prob of sequence sjs when thr
{ "pile_set_name": "DM Mathematics" }
hat is d rounded to one decimal place? -1.3 Let o(m) = -10 + 25*m**2 - 10 + 7*m**3 + 0*m**3 - 15*m - 12*m**3. Let q be o(-16). What is q rounded to the nearest one thousand? 27000 Suppose -3*q + 4*w = 7*w + 896751, 3*q + 896761 = -5*w. Let o = 4088 - q. What is o rounded to the nearest ten thousand? 300000 Let j be (-8)/(-16)*-194*7/(-1). Suppose t = 3*p - 156, 0*p + 2*p + t - 99 = 0. Let y = p + j. What is y rounded to the nearest one hundred? 700 Suppose s - 4 + 8 = 0. Let t(b) = -3103*b - 12. Let p be t(s). What is p rounded to the nearest 1000? 12000 Let f = 1657.217 - 1658. Let p = -185.043 - -185. Let t = p - f. Round t to 1 dp. 0.7 Let b = 9.95515 + 0.09085. Round b to 0 decimal places. 10 Let a = -21 - -16. Let f be 12890/8 - a/(-20). Let k = -3211 + f. What is k rounded to the nearest 100? -1600 Suppose 5*s + 0*s = -5*i + 25, 4*i - 8 = -s. Let g = 2 + i. Suppose 0*f - g*f + 2*z = -19199992, -2*f + 2*z = -12799992. Round f to the nearest 1000000. 6000000 Let o = 3059 + -3026.18. What is o rounded to the nearest 10? 30 Let x = -3582.6577 - -3583. Round x to 2 decimal places. 0.34 Let v be 1*(-10)/8*-4. Suppose v*j + 115492797 = 15492797. Round j to the nearest one million. -20000000 Let t = 60 - 21. Let i = t - 38.9877. What is i rounded to 3 decimal places? 0.012 Let w = 73.44 - 60. Round w to zero dps. 13 Let p = -0.094 - -9.824. Round p to zero decimal places. 10 Let m = 28202 + -28171.942. Let x = 0.058 - m. Let z = x - -27.9. What is z rounded to zero dps? -2 Let h = 0.035 - -103.965. Let w = 103.748 - h. Round w to two decimal places. -0.25 Let v be 6294486/3 - (1 + 1). Let s = v - 498158. Suppose -g + c + 4800002 = -4*g, -g - c - s = 0. Round g to the nearest one million. -2000000 Let s(d) = -104*d - 2. Let x be s(-5). Let y be x/10 - 24/30. Round y to the nearest ten. 50 Suppose 5*u - 32740008 = -4*k, -5*u + 2*k - 3*k = -32740002. Round u to the nearest one million. 7000000 Let o(f) = 22*f**3 + f**2 + 2*f - 3. Let i be o(2). Suppose -2*b - 2*l - i = -1201, -2040 = -4*b + l. Round b to the nearest one hundred. 500 Let m be (1/((-12)/40))/((-3)/(-7632)). What is m rounded to the nearest one hundred? -8500 Let q = 0.171 - 0.17099828. What is q rounded to seven decimal places? 0.0000017 Let t be (-3 - -955)/(-2) - -8. Round t to the nearest ten. -470 Let v = 698463.0339981 - 698463. Let y = v + -0.034. Round y to six decimal places. -0.000002 Let p = 760.54 - 761. What is p rounded to 1 decimal place? -0.5 Let c = -1662.817 + 1661. Let d = -142 - -140.26. Let l = c - d. What is l rounded to two decimal places? -0.08 Suppose -x + 269999 = 2*o - 0*x, 0 = -5*o - x + 674999. Round o to the nearest one hundred thousand. 100000 Let g = -23.6431 - 0.0869. Let s = g + -3.07. Let f = 26.80169 + s. Round f to four decimal places. 0.0017 Let w = 6326.19 - 6370. Round w to the nearest 10. -40 Let g = 11029560 + -18409560. Round g to the nearest one hundred thousand. -7400000 Let d = -3.802 + -31.508. Let t = 34 + d. Round t to the nearest integer. -1 Let f be -2 - -3 - 4 - -47. Let p(v) = 34 - f - 150565*v - 43434*v. Let c be p(10). Round c to the nearest one hundred thousand. -1900000 Let v = 44 + -44.0000038. Round v to 5 decimal places. 0 Let s(t) = 905*t + 4. Let i be s(6). Suppose q - d - 10692 = 739, 0 = 5*d - 15. Let m = i - q. Round m to the nearest 1000. -6000 Let k = 99 - 98.8. Let b = 41854606 + -41854606.19999951. Let q = b + k. Round q to seven dps. 0.0000005 Let w = 443865301 - 443865390.1297243. Let k = 90.05972 + w. Let d = k + -0.93. What is d rounded to six dps? -0.000004 Let w = -121 - -67. Let b = -1265 + 1211.62. Let n = w - b. Round n to 1 dp. -0.6 Suppose 4*p - 477 = 1259. Round p to the nearest 10. 430 Let g = -433595 - -433595.940285. Let w = g + -0.94. Round w to 5 decimal places. 0.00029 Let g = -1.55 - -1.715. What is g rounded to one dp? 0.2 Let k = 36.52 - -0.48. Let y = k - 36.9755. Round y to 3 dps. 0.025 Let p(m) = 3*m**2 + m. Let n be p(-1). Let x be -3 + 15/(1 + n). Suppose 3*b - 2760008 = -x*z, -5*b + 4265360 + 334644 = z. Round b to the nearest 100000. 900000 Let a = -312.00051 + 312. Round a to 5 dps. -0.00051 Let x(f) = -f**3 + 2*f**2 + 11*f - 503. Let w be x(0). What is w rounded to the nearest one hundred? -500 Let y = -1284112.0838 + 1284734. Let l = y - 622. What is l rounded to two dps? -0.08 Let l = -97835852 - -97835948.999902. Let m = -97 + l. Round m to five decimal places. -0.0001 Let z = -9.8628409 - -9.862. What is z rounded to five dps? -0.00084 Let w = 63 + -482. Let l = 400.1 + w. Round l to 0 dps. -19 Suppose 4 + 10 = -7*n. Let s(c) = -67*c**2 - 4*c - 2. Let j be s(n). What is j rounded to the nearest 10? -260 Let w(o) = -o - 2. Let r be w(-5). Suppose -r*v + 7*v = 20. Suppose 4*i - v*h = -1560000, 0 = 3*h + h. Round i to the nearest one hundred thousand. -400000 Let h = 0.0526605 - -29.9465695. Let c = h - 30. Round c to four dps. -0.0008 Suppose 7517 = 3*i - 6259. Suppose s + i = 59701. Suppose -2*j - s = -9109. What is j rounded to the nearest 10000? -20000 Let r = -1.527361 - -2816101.527361. Let j = r - 2816099.7500026. Let v = 0.25 - j. Round v to six dps. 0.000003 Let s = -2.29026 - -2.29. Round s to 5 decimal places. -0.00026 Let x(k) = -k**2 - 11*k + 4. Let a be x(-12). Let t be a/(-44) + (-11216)/(-22). What is t rounded to the nearest 100? 500 Let r(w) = 3*w - 3. Let i be r(-1). Let n be (4 + -9)/(-15) + 1322/i. What is n rounded to the nearest 100? -200 Let n = 491 - 491.00247. Round n to four decimal places. -0.0025 Let n = -29.167 - -30.55. Let z = n - -0.107. Round z to one dp. 1.5 Suppose 0 = -5*q, 0 = -5*g - 5*q + 11 - 1. Let v be g/6 + (-317)/(-3). Let t be (v/4)/(2/400000). Round t to the nearest one million. 5000000 Let d = 8.8006427 + -8.8. What is d rounded to four dps? 0.0006 Suppose 0 = 2*t - 2*l + 7*l + 19899990, 3*t + 2*l = -29849996. Round t to the nearest 100000. -10000000 Let w = -102.02 + 57.7. Let n = w + 0.32. Let h = -25.6 - n. Round h to 0 dps. 18 Let b = -144 - -289. Let g = b - 85. Let t = g + -60.111. What is t rounded to 2 dps? -0.11 Let z = -66 - -56.8. Let k = 9.19984 + z. What is k rounded to four decimal places? -0.0002 Let g = 9 - 6. Suppose -5*o = -c - 21, -c = -g*o + 2*c + 3. Suppose -196 = o*s + d, d - 10 = 3*s + 114. What is s rounded to the nearest ten? -40 Let v = -9.7 + 9.395. Let b = v - -0.30222. Round b to four dps. -0.0028 Let q = -446 + 445.361. What is q rounded to 1 decimal place? -0.6 Suppose 4*n + 4 = -3*f - 6, -3*n = -2*f + 16. Suppose -3*k + f*k + 13 = 0. Round k to the nearest ten. 10 Let y = -67 + 60.2. Let f = 35.8 + y. Let u = -29.72 + f. What is u rounded to one decimal place? -0.7 Let t = -784.2 + 789.863. Let v = t + -6.1672. Let a = v - -0.5. What is a rounded to 3 decimal places? -0.004 Let q = 789 - 768.76. What is q rounded to 0 decimal places? 20 Let k = 432511749686.99922 + -432517316825. Let n = k - -5567218. Let m = 80 - n. What is m rounded to 4 dps? 0.0008 Let i = 7777.9 + -7301. Let l = 458 - i. Let q = l - -10. What is q rounded to zero dps? -9 Let o = 360 + -359.99999815. What is o rounded to 6 decimal places? 0.000002 Let m = 1079952.3799976 + -1079952. Let s = m + -0.38. Round s to 6 dps. -0.000002 Let z = -2.37 - -2.3786. What is z rounded to four dps? 0.0086 Suppose -26480 = -11*h + 19*h. What is h rounded to the nearest 1000? -3000 Let m = -1 + 1. Let a be 10 + -1 + -6 + 4 - 2. Suppose -x + a*c - 3615 = m, -4*x + 0*x - 14415 = -5*c. Round x to the nearest 1000. -4000 Let k = 0.2444 + -0.198. What is k rounded to two decimal places? 0.05 Let a = 2 + 2. Suppose a*s - 4 = 0, 0 = 5*q + 4*s - 9*s + 8070. Let o = -753 - q. What is o rounded to the nearest 100? 900 Let d = 20.14 + -20. Let p = 1207 + -1207.139936. Let n = d + p. What is n rounded to 5 decimal places? 0.00006 Let o = 98 + -58. Let k = 40.0000008 - o. What is k rounded to six decimal places? 0.000001 Let l = 5.42 + -1.44. Let o = l + 0.62. Round o to zero dps. 5 Let n = -0.67 - -0.06. Let o = n - -0.6100089. What is o rounded to six dps? 0.000009 Let z(x) = 3*x**3 - x**2 + x + 2. Let v be z(-1). Let b be (-47999995)/(-10) - (6/4)/v. What is b rounded to the nearest 1000000? 5000000 Suppose -4*y + 4 = -3*y. Suppose 54 = -y*w - 238. What is w ro
{ "pile_set_name": "DM Mathematics" }
(a). Solve 8*y - i = 4*y for y. 2 Let c = -32 + 5. Let l(j) = -j**3 - 28*j**2 + 32*j + 115. Let n be l(-29). Let w = c + n. Solve k + 4 = -w for k. -5 Let t be 3/2 + (450/20 - 17). Solve -t*s + 15*s + 8 = 0 for s. -1 Suppose -259 = -2821*u + 2814*u. Solve -53 = 8*d - u for d. -2 Let f be (-1272)/120*(20 - 0)/(-4). Solve -f - 1 = -9*r for r. 6 Suppose -22*o + 19*o = -a + 14, -2*a + 18 = 4*o. Let t(u) = -u + 1. Let m be t(-4). Let c be (5 - a) + m - -15. Solve -2 = 3*r - c for r. 4 Let h be 83 - 82 - (-6 - 0 - 2*1). Solve h*t - 4*t = 10 for t. 2 Let a(h) = 11*h**3 - 7*h**2 - 4*h + 3. Let i be a(-2). Let q be 5/(i/(-6)) - 6/21. Solve 4*n - 6*n = q for n. 0 Suppose 28*b = -659 - 237. Let p be 24/10*(112/b - -6). Solve p*c + 6 + 6 = 0 for c. -2 Let j be ((-204)/(-8))/(4/24). Let s = j + -79. Let m = s - 70. Solve 0 = 4*o - 5*o + m for o. 4 Let r be 2/3*(2 + 10). Let q(z) = z**3 - 42*z**2 + 408*z - 74. Let d be q(27). Solve r = 3*o - d for o. 5 Let k be (-49)/14*(-288)/42. Solve -14*h = k*h - 38 for h. 1 Suppose 0 = -2*u + 4*c, 6*u + 4*c = 6*u - 7*u. Solve u = 36*x + 26 + 10 for x. -1 Let v = -12 - -10. Let s be v/(-1)*(-1)/(-2). Suppose -a + 1 = 3*y, 5*y + 7 - 11 = -4*a. Solve 2*o = a + s for o. 1 Let s = -30792 - -30797. Solve 384 = -s*w + 414 for w. 6 Suppose 2*s - 13 = 5*n - 6, -4*n = 4. Let w(h) = -59*h**2 - h + 3. Let p be w(s). Let m = -54 - p. Solve 0*y = -3*y - m for y. -1 Let r be 0/(((-10)/35)/(5/(-35))). Suppose -26*m + 31*m - 50 = r. Solve m*a + 20 = 5*a for a. -4 Let d be 1 + 6 - 2/1. Let f be 23/d + 12/30. Suppose 40 = 2*t - 2*y, t - 56*y = -51*y + 16. Solve t = -4*m + f for m. -4 Suppose 16 = -6*j + 28. Let f(s) = 66*s - 130. Let b be f(j). Let u(y) = y**3 - 4*y**2 + 5*y + 2. Let m be u(4). Solve -5*x = m - b for x. -4 Suppose 416 = 7*p + 311. Solve 11*r = -p + 70 for r. 5 Suppose 0 = 5*m - 25. Suppose -m*w = -4*w - 8. Suppose -4*n + 2 = -z, -8 = -88*n + 84*n. Solve -2*f + z = w for f. -1 Suppose 4 = 5*j - 1. Let f(r) = -401*r - 392. Let y be f(-1). Let a(n) = -n + 7. Let w be a(7). Solve -4*c + j - y = w for c. -2 Suppose 5*g = 114 + 86. Solve -g*d + 168 = 2*d for d. 4 Suppose 894*s = 902*s + 1208. Let f = s - -165. Solve 13*i - f*i - 4 = 0 for i. -4 Let a(y) = -4*y**2 + 65*y - 254. Let m be a(8). Solve 25 = m*g - 35 for g. 6 Suppose 5*t - 5*y + 70 = 0, -67 = -t + 6*t - 2*y. Let x be 1/6 + t/78. Solve -14*k + 9*k = x for k. 0 Let i(g) = g**2 - 8*g + 51. Let z be i(5). Let c = z - 20. Solve 0 = 4*n - 0 + c for n. -4 Let q be (-627)/228 + (-43)/(-4). Solve 1020 - 956 = q*m for m. 8 Suppose 3*i + 13 = -i + 37. Solve i*s = -1254 + 1296 for s. 7 Let b be -3 + 2 + (5 - (-243 - -8)). Solve -228*f = -b*f - 77 for f. -7 Suppose 15*m + 23*m - 10*m = -18*m. Solve -196*p + 201*p + 30 = m for p. -6 Let k(a) = 2*a + 1. Let r(d) = -d. Let j(o) = 2*o. Let b(x) = j(x) + 3*r(x). Let l(z) = -5*b(z) - 2*k(z). Let u be l(6). Solve u = -0*f - 2*f for f. -2 Suppose 2*t - 43*l + 42*l - 8 = 0, 2*t - 4*l = 8. Solve -t = -345*x + 343*x for x. 2 Let i(a) = -10*a**3 + 2*a**2 + 19*a + 59. Let q be i(-3). Solve -66*f + 8*f - q = 0 for f. -5 Let l = -1115 - -1434. Solve -9*j = -283 + l for j. -4 Let z be (26 - 28)/(2/(-212)). Let a = z - 204. Solve a*l - 13*l = -20 for l. 4 Suppose 3*z = 4*g - 43, 3*g - 7 - 19 = -4*z. Let s = 0 + g. Solve 5*c = 7*c + s for c. -5 Suppose -7*n + 290 = -2*n. Let b(g) = -18*g + 248. Let x be b(17). Let u = n + x. Solve -h + 0 - 5 = u for h. -5 Let z(k) = -3*k**2 + 28*k - 5. Let s be z(9). Suppose s*x = 5*b + 433, -5*x - 3*b + 569 = -0*b. Suppose x = 23*p - 9*p. Solve p*j = 5*j for j. 0 Let q(a) = a**2 - 19*a - 6. Let l be q(20). Suppose -6*d = -l - 10. Suppose -d*f = -44 - 4. Solve 2*o + 2*o = -f for o. -3 Suppose 726 = 1117*s - 1084*s. Solve 28 = -s*y - 16 for y. -2 Let v = -6 - -21. Let h be 4/(-10) - (-126)/v. Solve h = 2*a - 0*a for a. 4 Let t be 0 - (5 + -3)/((-8)/120). Solve -12*o + 6*o = t for o. -5 Suppose -2*j + 5*i = 8, j + 381*i - 377*i = 22. Solve 11*n + 49 = -j for n. -5 Suppose -q - 38 = 5*g - 10, 4*g + 245 = -5*q. Let b = q + 194. Suppose -t - b = -146. Solve 0*r + t*r = -20 for r. -4 Suppose 2*t - 3*r = 54, 28*t - r + 114 = 31*t. Solve -t*b = -30*b + 42 for b. -7 Let t be (-5)/(-7) + 247/(-1330)*-50. Solve t*q + 55 = 21*q for q. 5 Let k = 303 - 298. Solve 0 = -p - k for p. -5 Let s = 14214 - 14210. Solve 15*v - 17*v = s for v. -2 Let c(o) = 28*o - 20. Let q be 39/(-45) + 4/(-30) + 2. Let f be c(q). Solve 0 = -5*p + 12 + f for p. 4 Suppose -3*i + 369 = 2*f + 308, 79 = 5*f - 3*i. Solve -f*j = 26*j - 12*j for j. 0 Let d(q) = -q**2 - 1. Let m(w) = 3*w**2 - 7*w - 1. Suppose 8 - 4 = 2*v. Let i(n) = v*d(n) + m(n). Let x be i(8). Solve 0 = -2*s + x + 1 for s. 3 Let b(o) = 11*o - 11*o**2 + o**3 - 5 + 3*o**3 - 3*o**3. Let n be b(10). Let z = 278 + -278. Solve -n*s = -z*s for s. 0 Let b be 9/5*(11 - 6). Let t(y) = -y**2 + 17*y - 41. Let a be t(13). Suppose -b*x = -a*x + 4. Solve 2 = 2*v - x for v. 2 Suppose -2*w + 34 = -d, 0*d + 91 = 5*w - d. Suppose -w + 15 = -u. Solve r - u = 3*r for r. -2 Suppose 79 = 22*n - 12*n - 151. Let j be (-3)/(-4) - 1/(-4). Let i be 8/(-2) + j + n. Solve -4*d - i = -0*d for d. -5 Suppose 3*l + l - 5*b + 12 = 0, 3*b - 8 = 2*l. Let z(u) = 0 - 4 + l - 4*u. Let a be z(-1). Solve 0 = -a*v - 3 + 7 for v. 2 Let m(n) = -8*n - n - n + 3*n + 22. Let v be m(3). Solve 5*u - v = -16 for u. -3 Let m(d) = -d**3 - 15*d**2 - 15*d - 4. Let b be m(-14). Suppose 0 = -f + 4*r + 63, 5*f - 318 = r - 79. Let z = -45 + f. Solve -z*o + b = 3*o for o. 2 Suppose -4*l + 22 = -5*q, -3*q + 10 = 5*l + 1. Let h be 8/q + 198/22. Solve h*v - 9 - 6 = 0 for v. 3 Let d be (-16)/76*(-10469)/58. Solve -12*p - 98 = -d for p. -5 Let b = 1 + 2. Suppose -b*z + 13 = -59. Let m be (-8)/1*2/(-4). Solve 5*h - z = -m for h. 4 Let q(c) = -15 - 7*c - 56 + 0*c. Let s be q(-12). Solve 0 = -5*j + 7 + s for j. 4 Suppose -7*r + 8 = 43. Let i(j) = -j**3 - 4*j**2 + 3*j - 6. Let n be i(r). Let b(d) = -d**3 + 5*d**2 - 3*d + 1. Let w be b(n). Solve 5 = 2*k - w for k. 5 Let o(r) = 4*r**3 - 2*r**2 - 16*r + 18. Let z be o(4). Suppose 179*a - z*a = 4. Solve a*g = -g + 20 for g. 4 Suppose 1921*i - 924 = 1910*i. Solve 50*z = 71*z + i for z. -4 Suppose -2*w + 8 = 2*w. Suppose 8 = 3*b - k, 2 = w*b - 0*b - 4*k. Solve -y + 8 = b*y for y. 2 Let o be (2/5)/(1/5). Let d be (-82)/(-10) + (-112)/(-140) - 3. Solve -2*n - d = -o for n. -2 Let t = 6 - -67. Let q = t + -79. Let u be 0 + q/((-12)/10). Solve 2*h = u*h - 15 for h. 5 Let d be -3 + 1 + (-4)/(-1). Suppose 165*c - 3*x = 169*c + 11, -2*c = 2*x + 10. Solve 0 = d*j - c for j. 2 Let v be (-12)/(-3) + -94 + 112. Solve -14*y + v*y = 0 for y. 0 Suppose 0 = -3*b + 7 + 5. Let x = 119 - 112. Suppose 0*c + x*c = 4*c. Solve c = -b*l - 0*l - 4 for l. -1 Suppose -g = -14*u + 10*u - 17, -g + 17 = 3*u. Solve 60 = -g*b - 59 for b. -7 Let r(x) = -x**2 - 44*x + 21. Let l(b) = -b**2 - 45*b + 21. Let a(z) = -5*l(z) + 6*r(z). Let m be a(0). Solve 2*s = -5*s + m for s. 3 Suppose 111*n - 104*n = -105. Let v = -26 - -5. Let l = n - v. Solve 5*z - 2*z - l = 0 for z. 2 Let t(i) = i**3 + 47*i**2 - 64*i - 768. Let c be t(-48). Solve -11*d + 25 - 58 = c for d. -3 Let l be ((-2)/(-4))/((-2)/(-8)). Let z(a) = -2633*a - 2 + a**3 + 1321*a + 1315*a - 5*a**2 + 3*a**2. Let w be z(l). Solve w = -u - 0 for u. -4 Let z = -9931 + 10063. Solve -s - z = -134 for s. 2 Suppose -303 = -9*m + 696. Let g = 111 - m. Solve 0 = 3*q - g*q - 9 for q. 3 Suppose 127 - 127 = -38*o. Solve o = s + 5*s - 24 for s. 4 Let p be (-9)/(-1)*(0 + -1 - -3). Suppose 0 = -b - 5*b + p. Suppose -b*g + w = -w - 12, 4*g + 5*w = 39. Solve -f - g = f for f. -3 Let v be 14 + 1 + (-24)/4. Suppose v*z - 16*z + 91 = 0. Solve 0 = 5*l + 2 + z for l. -3 Let p(z) be the second derivative of -z**3/6 + 23*z**2/2 - 122*z. Let i be p(19). Solve 8 = -t + i for t. -4 Suppose 0*s + 97 = a - s, -4*a - 5*s = -379. Let c be 5*(-2 + a/40). Solve 10 = -c*y - 8*y for y. -1 Let j(o) = -o**3 + o**2 - o. Let i be j(0). Suppose 0 = 3*g - 30 - 0. Let l be (-8)/6*33/(-22) + 0/8. Solve l*b + i = g for b. 5 Suppose 23*s = 17*s + 4014. Let m = 681 - s. Solve 0*p + 3*p = m for p. 4 Let z(r) be the third derivative of r**5/60 + 3*r**4/4 + 3*r**3 - 7*r**2. Let l be 20/(-3 - 1) + -12. Let c be z(l). Solve d + 0*d = -c for
{ "pile_set_name": "DM Mathematics" }
+ 10, 3*m = -4*p + 102. Let d(n) = p - 67 + 9 + 2*n + 22. Determine d(11). 10 Let m be 100/(-40)*(-6)/(-4 - -7). Let v(i) be the first derivative of -1/4*i**4 + i - i**2 + 1 + 2*i**3. Calculate v(m). 16 Let v(q) = q**2 + 8*q - 6. Let c be (-3)/((-39)/(-2)) - 871/(-169). Let g be -5 + -2 + c - (-35 + 1). Let l be (-78)/8 + 24/g. Calculate v(l). 3 Let t(r) = -r**3 - 6*r**2 - r - 2. Let s(l) = 13*l**2 + 22 - 24*l**2 - 26 - 2*l - 2*l**3. Let c(y) = 6*s(y) - 11*t(y). What is c(-3)? 28 Let p(g) = -7*g - 8. Let t(l) = -14*l - 14. Let s(b) = 5*p(b) - 3*t(b). Calculate s(5). 37 Let b(g) = 2*g + 107. Let n(d) = -76. Let i(a) = -b(a) - 2*n(a). What is i(15)? 15 Let w be (-30)/(-10)*(-2)/6. Let t be (1 - (w + -2)) + -1. Suppose -t*x + 5 = 2. Let v(o) = 7*o**3 + 2*o - 1. Give v(x). 8 Let s = -19999 + 20009. Let k(j) = j**3 - 8*j**2 - 19*j - 5. Calculate k(s). 5 Let q(g) = 2*g + 5. Let z(p) = -p**3 + 4*p**2 - 2*p + 2. Let a be z(3). Suppose -a*b + 2*w = -w + 59, -w - 7 = b. Let k be (-338)/65 + (-2)/b. Determine q(k). -5 Let n(d) be the third derivative of -2/15*d**5 + 0*d - 1/3*d**3 - 1/24*d**4 - 16*d**2 + 2. What is n(-2)? -32 Suppose r = 5*s - 20, s + 2*r + 1 = -2*s. Let q(m) = -6*m**3 - m**2 - 2*m - 2. Let x(d) = -3*d**3 - d - 1. Let h(f) = s*q(f) - 5*x(f). Calculate h(-2). 13 Suppose 3*a = a - t + 2, 3*a = t + 8. Let w be -6*a/10*80/(-24). Suppose 0 = -3*c - 0*c + w*c. Let n(m) = -m + 4. Give n(c). 4 Let z(o) = -o**3 + 6*o + 3. Let a be z(3). Let s(u) = u**2 + 10*u + 21. Calculate s(a). -3 Let n(r) = -2*r + 13. Let x = -59 + 4. Let y be (-2)/(-12) + (-12465)/270. Let z = y - x. Determine n(z). -5 Let r(u) = u**2 - 11*u + 38. Let f be r(6). Let v(k) = 500*k**3 - k - 501*k**3 - f - 3*k**2 + 3*k**2. What is v(0)? -8 Let c = -1046 - -727. Let z = c - -312. Let n(k) = k**2 + 10*k. What is n(z)? -21 Let r(l) = l**3 - l**2 + l + 1. Let n(z) = 5*z**3 - 14*z**2 - 12*z - 3. Let m(s) = n(s) - 6*r(s). Calculate m(-4). -1 Let a(q) be the third derivative of 2*q**2 + 1/24*q**4 + 26 - 5/6*q**3 + 0*q. Give a(5). 0 Let j = -211 - -292. Let q = j - 81. Let o(f) = f**3 - 8. What is o(q)? -8 Let k(a) = -a**2 + 4*a + 4. Let i = -157 + 156. Let b be k(i). Let n(h) = -7*h**3 - 2*h**2 + 1. Give n(b). 6 Suppose 24*c = 22*c + 6. Suppose -c*p = k - 15, -k = k - 4*p. Let x(t) = 9*t + 6 - 22*t - 6*t**2 - t**3 + k*t + 4*t. Give x(-5). -4 Let t(z) be the first derivative of 118 - 1/2*z**2 - 8*z. Determine t(-6). -2 Let h(d) = 5*d**2 - d. Let z(k) = -10*k - 30. Let f(l) = 11*l + 29. Let c(w) = -5*f(w) - 6*z(w). Let a be c(-6). Suppose 3*u + a = -2*u. What is h(u)? 6 Let l(b) = -b**2 - 33*b - 16. Let j be l(-9). Let p(v) = -j*v**2 + 391*v**2 + 1 - 197*v**2. What is p(-1)? -5 Let h(c) = 1563*c + 1551*c - 4670*c + 3*c**2 + 1559*c. Let j be (-3)/(6/8) - -1. Calculate h(j). 18 Let c = -68 + 62. Let a be (2 + c)*(3465/(-20))/(-9). Let r be 24/(-14) - (-22)/a. Let s(h) = -h**2. Determine s(r). -4 Let m(b) = -b**2 + 6*b - 3. Suppose -3*g + 15 - 1 = c, 5*c = 10. Suppose l = -a + 2, a + g = 5*l - 3*l. Determine m(l). 5 Let q(g) = 2*g**2 + 7*g + 7. Let r(h) = -1 + 0 + 8379*h**2 - 8380*h**2. Let k(m) = -q(m) - 3*r(m). What is k(8)? 4 Suppose v + g = 2, 4*v + 12*g - 13 = 9*g. Let u(j) = 2*j**2 - j + 3. Let p(k) = -15*k**2 + 16*k - 24. Let t(q) = v*u(q) + p(q). What is t(4)? 17 Let p(t) = 348 + 350 + t - 694 + t - 3*t. Suppose 2*v = 8 + 2. Give p(v). -1 Suppose -45*s - 105 + 510 = 0. Let k(t) = -t**3 + 11*t**2 - 14*t + 8. Calculate k(s). 44 Let i(q) = 3*q**2 - 7*q + 4. Let s be i(2). Let h be 3 + -6 + 6 - (-2 + s). Let z(d) = -d**3 + d**2 + d. Give z(h). -15 Let h(a) be the first derivative of -1/2*a**2 + 1/6*a**4 - 10 + 25*a + 0*a**3. Let x(l) be the first derivative of h(l). Calculate x(-1). 1 Let b(r) = r**3 + 12*r**2 + 22*r + 36. Let n be b(-10). Let u(z) = -4*z**2 - 17*z + 7. Let p(q) = 3*q**2 + 17*q - 8. Let d(o) = -5*p(o) - 4*u(o). What is d(n)? -4 Let o(a) = -20*a - 25. Let n = -7240 + 7236. Give o(n). 55 Let a(z) = -z**2 - 6*z + 12. Suppose -20*n - 92 = 48. Determine a(n). 5 Let h(q) be the first derivative of 2*q**3/3 - q**2 + 5*q - 414. What is h(5)? 45 Suppose -3*x = -x + 5*k + 11, 3*x - 4*k - 18 = 0. Let z be 0/x*(-5)/(-10)*2. Let f(u) = u**3 + u**2 - 2. Calculate f(z). -2 Suppose -17*p + 7*p + 20 = 0. Let d(v) = 2 + v**3 - 3*v + p*v**2 + 1 + 5 - 5. Let g = -11 + 8. Determine d(g). 3 Let w(d) = 4*d**2 + 5*d - 3. Let s = 5 - 2. Let q(a) = 6*a + 47*a**2 - s + 53*a**2 - 95*a**2. Let m(g) = 3*q(g) - 4*w(g). What is m(-3)? 0 Let l(m) be the first derivative of -m**2/2 - 5*m + 2. Suppose 134 = 5*b + 2*h, 110 = -4*b + 8*b + 3*h. Suppose b*s - 25*s = -9. Calculate l(s). 4 Let n = 263 + -262. Let d(y) = -n + 3 + 5*y + 4*y - 5*y. Determine d(2). 10 Let t(b) = b**2 - b - 4. Let j = 650 + -658. Determine t(j). 68 Let f(j) = j**3 - 10*j**2 + 2*j - 9. Suppose 0 = -5*r - h + 43 + 8, 4*r + 2*h = 42. Calculate f(r). 11 Let z(l) be the third derivative of 0 - 7/6*l**3 + 1/24*l**4 + 76*l**2 + 0*l. Calculate z(5). -2 Let u(o) be the first derivative of -o**3/3 + 3*o**2 + o - 1. Let z be 9*24/(-126)*7/(-2). Suppose 5*p - 20 = 2*f, 5*f = p - z*p + 55. Determine u(p). 1 Let q(b) = 2*b + 17. Let g = -3118 - -3121. What is q(g)? 23 Let o(g) = -g**3 - 7*g**2 - 6*g - 3. Suppose 70 + 425 = 15*x. Suppose -x = 3*v + 8*v. Let u be 1 + (v - (-12)/(-3)). What is o(u)? -3 Let c be -1 - 0 - (-1 - -1). Let h(y) be the third derivative of 17*y**6/120 - y**5/60 + y**3/6 + 2*y**2 + 10039. What is h(c)? -17 Suppose 24 + 12 = -4*x. Let k be 0*(4 + x/2). Let v(s) = -2*s**2 + k*s**3 - s**3 - 2*s**2 - 74*s - 2 + 70*s. What is v(-2)? -2 Let u = -62 - -64. Let a(k) = 4*k + 0*k - 3*k**u + 0*k**3 + 5 - k**3. Give a(-4). 5 Let x = 137 - 125. Suppose -7*p + 6 = -2*d - 9*p, -x = 4*d - 3*p. Let n(j) = -j**3 - j**2 + 2*j. Give n(d). 12 Suppose 4*r - 68 = -5*u, 5*r + u - 5*u - 44 = 0. Let z be (-1)/6 + (-82)/r. Let b(q) = 5*q + 1 + 2*q - 5*q + 3. Determine b(z). -10 Let x = -3534 + 3542. Let r(t) = -3*t - 16. Give r(x). -40 Let n(x) = x**2 - 28*x - 242. Suppose -159 = 15*s - 54. What is n(s)? 3 Let j(o) = 2*o**2 - 1. Let y(t) = t**2 - 6*t + 15. Let x be y(4). Suppose -x*v - 15 = -1. Calculate j(v). 7 Let s be (130/(-25))/((-12)/(-30)). Let v(o) = o**3 + 13*o**2 + 9. What is v(s)? 9 Suppose -8*p - 1 = -6*p + 5*y, 3*p - y + 10 = 0. Let s be (p - 452/(-24)) + 2/12. Suppose 9*o = 7*o + s. Let j(g) = -g**2 + 10*g - 2. Calculate j(o). 14 Let r(t) = 4*t**2 + 12*t - 24. Suppose 10*w - 19*w - 22 - 14 = 0. Calculate r(w). -8 Let g(o) be the second derivative of 31*o**3/6 + o**2/2 - o + 683. What is g(-3)? -92 Let r(h) = -28 - 18*h**2 - 93*h + 5*h**2 + 89*h + 12*h**2. Calculate r(0). -28 Let u = -18 - -19. Let w(d) = -2*d**2 + 0 + 2 - 29*d + u + 37*d. Determine w(6). -21 Let f(n) = 408*n + 2887. Let r be f(-7). Let k(a) = 4*a - 129. Give k(r). -5 Let d(i) = i**3 + 7*i**2 + 7*i - 1. Let u(r) = -2*r - 10. Let x(a) = 5*a - 37. Suppose 7 - 28 = -3*y. Let l be x(y). Let t be u(l). Calculate d(t). -7 Let j(o) = 56*o - 12035. Let r be j(215). Let y(i) be the first derivative of -i**4/4 + 2*i**3 - 4*i**2 + 4*i + 1. Determine y(r). -11 Let g(v) = 0*v - 4*v + 5*v + 6. Let p(z) = -z**2 - 2*z + 18. Suppose -4*a + 16 = -4*o, -3*o + 8*o = -3*a + 12. Let d be p(a). Give g(d). 0 Let k = 1259 - 1250. Let l(b) = 2*b - 24. Determine l(k). -6 Let y(a) be the first derivative of -a**2 - a + 88. Let f be ((-18)/(-4))/((-11)/(-22)). Determine y(f). -19 Let x(q) = -q**2 + 7*q + 22. Let z be x(9). Let w(k) = 9*k + 3*k + z*k + 2 - 17*k. Give w(2). 0 Let p(f) = -f**2 - 1. Let q(o) = -o**2 - 3*o - 2. Let t(n) = 2*p(n) - q(n). Let u(h) = -h**2 - 4*h + 5. Let a = -21 - -17. Let g be u(a). Determine t(g). -10 Let a be (-2)/(-4) + (480/2640)/((-4)/(-11)). Let h(t) = -61*t + 27*t + 26*t. Calculate h(a). -8 Let g be -8*(10/(-4) + 2). Suppose 4*u + 3*d + 6 = 1, -8 = g*u + 4*d. Let n(h) = -15*h**2 - h + 1. Determine n(u). -15 Let s be (0 - 51/(-12)) + (-12)/48. Let u(f) = -52*f + 3 + 52*f - s + 3*f**2. Calculate u(1). 2 Suppose -3*c - 855 = -4*c + 5*i, 0 = -5*c - i + 4197. Let u be (4/(-6))/((-7)/c). Let m be -3*(u/15)/(-4). Let n(b) = -b**2 + 5*b + 2. What is n(m)? 6 Let u(l) = -l - 2. Suppose 3*h = -5*m - 65 + 125, h = -3*m + 24. Let b be ((0 - 1)*-4)/(-11 + h). Determine u(b
{ "pile_set_name": "DM Mathematics" }
rime factors of 39044? 2, 43, 227 What are the prime factors of 817? 19, 43 List the prime factors of 1871. 1871 What are the prime factors of 4171? 43, 97 List the prime factors of 333. 3, 37 What are the prime factors of 12158? 2, 6079 What are the prime factors of 29500? 2, 5, 59 What are the prime factors of 15803? 15803 List the prime factors of 49734. 2, 3, 307 What are the prime factors of 2472? 2, 3, 103 List the prime factors of 9188. 2, 2297 List the prime factors of 20206. 2, 10103 What are the prime factors of 1891? 31, 61 List the prime factors of 225. 3, 5 List the prime factors of 107138. 2, 53569 List the prime factors of 342. 2, 3, 19 List the prime factors of 1655. 5, 331 List the prime factors of 1350. 2, 3, 5 What are the prime factors of 6639? 3, 2213 What are the prime factors of 10? 2, 5 What are the prime factors of 6936? 2, 3, 17 What are the prime factors of 1099? 7, 157 What are the prime factors of 2536? 2, 317 What are the prime factors of 26012? 2, 7, 929 List the prime factors of 11697. 3, 7, 557 What are the prime factors of 159? 3, 53 What are the prime factors of 6422? 2, 13, 19 What are the prime factors of 9918? 2, 3, 19, 29 List the prime factors of 24758. 2, 12379 What are the prime factors of 6957? 3, 773 List the prime factors of 7498. 2, 23, 163 What are the prime factors of 116? 2, 29 List the prime factors of 7239. 3, 19, 127 List the prime factors of 11753. 7, 23, 73 List the prime factors of 1031. 1031 List the prime factors of 293. 293 List the prime factors of 2217. 3, 739 What are the prime factors of 13222? 2, 11, 601 What are the prime factors of 2745? 3, 5, 61 What are the prime factors of 31456? 2, 983 What are the prime factors of 14987? 7, 2141 What are the prime factors of 50360? 2, 5, 1259 What are the prime factors of 554? 2, 277 What are the prime factors of 18888? 2, 3, 787 List the prime factors of 614. 2, 307 List the prime factors of 2794. 2, 11, 127 What are the prime factors of 1966? 2, 983 List the prime factors of 2275. 5, 7, 13 List the prime factors of 129342. 2, 3, 21557 What are the prime factors of 1739? 37, 47 What are the prime factors of 64480? 2, 5, 13, 31 What are the prime factors of 3541? 3541 List the prime factors of 679. 7, 97 List the prime factors of 2545. 5, 509 List the prime factors of 927. 3, 103 What are the prime factors of 1343? 17, 79 What are the prime factors of 6115? 5, 1223 What are the prime factors of 112755? 3, 5, 7517 What are the prime factors of 8931? 3, 13, 229 What are the prime factors of 788? 2, 197 List the prime factors of 4361. 7, 89 What are the prime factors of 846? 2, 3, 47 What are the prime factors of 14014? 2, 7, 11, 13 List the prime factors of 541. 541 List the prime factors of 95426. 2, 47713 What are the prime factors of 10243? 10243 List the prime factors of 2248. 2, 281 List the prime factors of 81994. 2, 11, 3727 List the prime factors of 58920. 2, 3, 5, 491 List the prime factors of 1392. 2, 3, 29 What are the prime factors of 81? 3 What are the prime factors of 2855? 5, 571 What are the prime factors of 9130? 2, 5, 11, 83 List the prime factors of 72116. 2, 11, 149 List the prime factors of 179534. 2, 89767 List the prime factors of 90721. 257, 353 What are the prime factors of 23848? 2, 11, 271 List the prime factors of 4878. 2, 3, 271 What are the prime factors of 4240? 2, 5, 53 List the prime factors of 1605. 3, 5, 107 What are the prime factors of 17059? 7, 2437 List the prime factors of 63504. 2, 3, 7 What are the prime factors of 78276? 2, 3, 11, 593 List the prime factors of 115449. 3, 29, 1327 List the prime factors of 961. 31 What are the prime factors of 18092? 2, 4523 List the prime factors of 10057. 89, 113 List the prime factors of 1315. 5, 263 List the prime factors of 2521. 2521 What are the prime factors of 24404? 2, 6101 List the prime factors of 23087. 23087 What are the prime factors of 3961? 17, 233 List the prime factors of 3716. 2, 929 What are the prime factors of 80193? 3, 26731 What are the prime factors of 3778? 2, 1889 List the prime factors of 66098. 2, 33049 What are the prime factors of 44? 2, 11 What are the prime factors of 11424? 2, 3, 7, 17 What are the prime factors of 8886? 2, 3, 1481 List the prime factors of 26952. 2, 3, 1123 What are the prime factors of 45410? 2, 5, 19, 239 List the prime factors of 4266. 2, 3, 79 What are the prime factors of 1207? 17, 71 What are the prime factors of 17896? 2, 2237 What are the prime factors of 1266? 2, 3, 211 What are the prime factors of 695? 5, 139 What are the prime factors of 328? 2, 41 What are the prime factors of 1403? 23, 61 List the prime factors of 204. 2, 3, 17 List the prime factors of 2792. 2, 349 List the prime factors of 51222. 2, 3, 8537 List the prime factors of 9724. 2, 11, 13, 17 What are the prime factors of 1372? 2, 7 What are the prime factors of 48478? 2, 24239 List the prime factors of 2341. 2341 List the prime factors of 2543. 2543 What are the prime factors of 19252? 2, 4813 List the prime factors of 48. 2, 3 What are the prime factors of 2542? 2, 31, 41 What are the prime factors of 21705? 3, 5, 1447 What are the prime factors of 77886? 2, 3, 4327 List the prime factors of 83411. 239, 349 List the prime factors of 9106. 2, 29, 157 List the prime factors of 60159. 3, 11, 1823 What are the prime factors of 19224? 2, 3, 89 What are the prime factors of 1604? 2, 401 List the prime factors of 1778. 2, 7, 127 What are the prime factors of 3728? 2, 233 What are the prime factors of 5450? 2, 5, 109 What are the prime factors of 14209? 13, 1093 What are the prime factors of 103? 103 List the prime factors of 10840. 2, 5, 271 What are the prime factors of 12571? 13, 967 What are the prime factors of 24085? 5, 4817 List the prime factors of 4942. 2, 7, 353 What are the prime factors of 169? 13 List the prime factors of 402. 2, 3, 67 What are the prime factors of 14273? 7, 2039 What are the prime factors of 10464? 2, 3, 109 What are the prime factors of 629? 17, 37 What are the prime factors of 11582? 2, 5791 List the prime factors of 1494. 2, 3, 83 List the prime factors of 2554. 2, 1277 What are the prime factors of 18715? 5, 19, 197 What are the prime factors of 828? 2, 3, 23 List the prime factors of 948. 2, 3, 79 What are the prime factors of 1578? 2, 3, 263 List the prime factors of 827. 827 What are the prime factors of 99843? 3, 23, 1447 What are the prime factors of 34738? 2, 11, 1579 What are the prime factors of 4119? 3, 1373 List the prime factors of 7026. 2, 3, 1171 What are the prime factors of 879? 3, 293 List the prime factors of 3534. 2, 3, 19, 31 List the prime factors of 1478. 2, 739 List the prime factors of 8037. 3, 19, 47 List the prime factors of 24363. 3, 2707 List the prime factors of 680. 2, 5, 17 List the prime factors of 17171. 7, 11, 223 What are the prime factors of 474? 2, 3, 79 List the prime factors of 14415. 3, 5, 31 List the prime factors of 3625. 5, 29 List the prime factors of 14331. 3, 17, 281 What are the prime factors of 33532? 2, 83, 101 What are the prime factors of 5545? 5, 1109 What are the prime factors of 4073? 4073 List the prime factors of 3882. 2, 3, 647 List the prime factors of 3253. 3253 List the prime factors of 127. 127 What are the prime factors of 23309? 11, 13, 163 What are the prime factors of 1213? 1213 What are the prime factors of 899? 29, 31 What are the prime factors of 182? 2, 7, 13 What are the prime factors of 37814? 2, 7, 37, 73 What are the prime factors of 39635? 5, 7927 What are the prime factors of 1145? 5, 229 List the prime factors of 29416. 2, 3677 List the prime factors of 3253. 3253 What are the prime factors of 567? 3, 7 What are the prime factors of 62580? 2, 3, 5, 7, 149 List the prime factors of 101826. 2, 3, 5657 What are the prime factors of 1297? 1297 What are the prime factors of 1096? 2, 137 List the prime factors of 14715. 3, 5, 109 What are the prime factors of 2847? 3, 13, 73 What are the prime factors of 1938? 2, 3, 17, 19 List the prime factors of 882. 2, 3, 7 List the prime factors of 10000. 2, 5 List the prime factors of 1687. 7, 241 List the prime factors of 3501. 3, 389 What are the prime factors of 5530? 2, 5, 7, 79 List the prime fac
{ "pile_set_name": "DM Mathematics" }
-13)) assuming p is positive. p**(-2127/73) Simplify u/(((u*u**(-27)/u)/u)/u)*u/(u*u/u**(2/63))*(u**(-12))**(-37) assuming u is positive. u**(29801/63) Simplify f*f**(-1/7)*f*f*f**(-6/5)/f*f/f**(-2/41)*(f*f/f**(-1/10))/f assuming f is positive. f**(8053/2870) Simplify (((r**3/r)**(-28))**25)**(7/5) assuming r is positive. r**(-1960) Simplify (((p*p**(-1)/p)**3)**40)**(9/7) assuming p is positive. p**(-1080/7) Simplify k*k/((k*(k/k**(-6/11)*k)/k)/k)*(k/(k/(k/k**18)))/k*k**6/k**(-1/10) assuming k is positive. k**(-1259/110) Simplify d**3*d/d**(6/11)*(d/(d**(1/3)*d*d))**(1/5) assuming d is positive. d**(526/165) Simplify ((o**1)**(-2/13)/((((o/(o/o**(1/3)))/o)/o)/(o*o**6)))**(-36) assuming o is positive. o**(-3984/13) Simplify ((m/m**(-1/7)*m**(-1)/m)/((m/m**3)/(m**(1/8)/m*m)))**(-1/16) assuming m is positive. m**(-71/896) Simplify (x**(-1/4))**(-8/9)*(x*x**(2/3))**(-41) assuming x is positive. x**(-613/9) Simplify (l/(l*l/l**2)*l*l/l**(7/3))/(l/((l*l**(-9/2)/l)/l*l)*l*(l/(l**(-4/7)*l))/l) assuming l is positive. l**(-227/42) Simplify (j*(j*(j/(j*j**(-1/3)*j))/j)/j)**40/(j/j**0)**8 assuming j is positive. j**(-104/3) Simplify (x**(-2/11))**(2/43)/(x**(-1/2))**(2/9) assuming x is positive. x**(437/4257) Simplify (m**(2/21)*(m/(((m*(m*((m/(m*m**9)*m*m)/m*m)/m*m)/m)/m)/m))/m*m*m**4*m/(m**(-5)/m))**17 assuming m is positive. m**(7174/21) Simplify ((((y/(y/y**(-1/12))*y)/y)/(y**(-7/2)/y))/(y**(3/2))**(-33))**(-3) assuming y is positive. y**(-647/4) Simplify ((f*f**(-9/2))/(f/f**16))/(f/(f*f/(f/(f*f**16/f)))*f*f/f**(-8)) assuming f is positive. f**(35/2) Simplify (j**(-4)*j**(5/13)/j)/(j**(-1/22)/(j*j**(-12)*j)) assuming j is positive. j**(-4167/286) Simplify ((f**(1/3))**(-10/3))**(-2/55) assuming f is positive. f**(4/99) Simplify (g/(g/((g**(-17)*g)/g))*(g*g/((g**(-6/11)*g)/g*g))/g)**(-14/3) assuming g is positive. g**(2534/33) Simplify ((y/(y**(3/4)*y)*y)/((y/(y*((y*y*y**0*y)/y)/y))/y)*(y/(y**1/y))**(2/9))**(4/39) assuming y is positive. y**(89/351) Simplify (d**(3/5)/d*d)**(-21/2)*(d**(-6/5))**(1/3) assuming d is positive. d**(-67/10) Simplify ((z*z*z/z**(4/9))**(-2/113))**(2/117) assuming z is positive. z**(-92/118989) Simplify (o**(2/11)*o**(-8))/(o*(o*o/(o**(2/7)/o)*o)/o)**25 assuming o is positive. o**(-7752/77) Simplify v**15/(((v/(v/v**(19/2)))/v*v)/v)*(v**(1/10))**(1/9) assuming v is positive. v**(293/45) Simplify (b/(b*b/b**(-2/11)))**(-30)*((b*b*b/(b**(2/3)/b))/b*b)/(b*b*b**(14/5)) assuming b is positive. b**(5608/165) Simplify i**(-2/7)*i**17*i/(i/((i/i**0*i)/i))*i*i*(i/i**(-20/3))/i*i assuming i is positive. i**(575/21) Simplify (p/(p*p*p**(-10)/p))/p*p/(p/(p**(-1/4)*p))*(p/(p/((p**(-11)*p)/p)*p)*p)/((p*p*(p*p**(-2))/p)/p*p) assuming p is positive. p**(-5/4) Simplify (j**(2/53)*j*j*j*j/(j/(j**(3/5)/j)*j))/((j**10*j)/j*j*j**(10/3)) assuming j is positive. j**(-10093/795) Simplify (z**(5/4)/z)**(-6/25)*(z/z**(-1/2))**(11/7) assuming z is positive. z**(402/175) Simplify (u**(-5)*u)**(-38)*(u/u**(-1/3))/u**(-2/9) assuming u is positive. u**(1382/9) Simplify (((i**(1/10)*i)/(i*i*i/(i/i**(-3/7))))**(4/5))**32 assuming i is positive. i**(-2112/175) Simplify (t**(-3/4)*t)**(13/2)/(t**(-25)*t*t/(t/t**(-2/13))) assuming t is positive. t**(2681/104) Simplify (f*f/((f/(f**(1/49)*f))/f)*f**13)**(-38) assuming f is positive. f**(-29830/49) Simplify ((l/((l/(l**4/l))/l)*l)/(l*l**(2/7)))/(l**(-10)*l*l**9/l*l) assuming l is positive. l**(26/7) Simplify ((z/z**(-1)*z)**46/(z**(2/9)*z*z*z**(1/5)))**9 assuming z is positive. z**(6101/5) Simplify (d*(d**(-45)/d)/d*d*d**(-41))**(-17) assuming d is positive. d**1462 Simplify (a**(-10)/a*a*a**(2/3)/a*a)/(a*a/((a**(-1/10)*a)/a)*a*a/a**7) assuming a is positive. a**(-193/30) Simplify (v**15/v)/v**33*(v**(-2/9))**(-16/7) assuming v is positive. v**(-1165/63) Simplify n*n*n/(n**(3/8)*n)*n*n*n**(-10)*n*n*n**2*(n/(n/(n*n**(5/3)*n)))/n assuming n is positive. n**(7/24) Simplify ((t*t/(t**(-3)*t)*t*(t/((t/((t/(t*t**(-20/3)*t))/t))/t))/t*t)**(-29))**(-13/5) assuming t is positive. t**(12064/15) Simplify (((h/(h*h**(-1/13)))/h**9)**(-15))**(2/19) assuming h is positive. h**(3480/247) Simplify d*d*d**(-18)*d**(-14)/d*d**14*d/(d/d**(-4/9))*d assuming d is positive. d**(-148/9) Simplify (d/d**(-3/4))/((d**(-3)/d*d)/d)*d**(2/21)*d*d**(-2) assuming d is positive. d**(407/84) Simplify t**(-18)*t*t**(-4)*((t*t/t**(-1/3)*t)/t)**(9/10) assuming t is positive. t**(-189/10) Simplify (k**(-1/15)*k)/(k*k/k**(6/19)*k*k)*k*k*(k**(-18)*k)/k*k**(2/3) assuming k is positive. k**(-1718/95) Simplify (t**(3/7)*t**(4/3))/(t**1*t**(2/5)*t) assuming t is positive. t**(-67/105) Simplify ((((n/n**(-2))/n)**1)**(-5))**(5/9) assuming n is positive. n**(-50/9) Simplify (q**(-2)/q)**44/(q**8/q**(-9)) assuming q is positive. q**(-149) Simplify ((o**(2/3))**(-19/3)*(o*o**1)/o**(-1/4))**(11/3) assuming o is positive. o**(-781/108) Simplify (u**10*u/u**(2/9))/(u**(-9)/u**(-15)) assuming u is positive. u**(43/9) Simplify ((y**(-1/3)/(y/(y*y/(y*(y*y/(y**(2/9)*y))/y)*y)))/((y/(y*y**(-2/7)))/y)**(-1/31))**11 assuming y is positive. y**(18601/1953) Simplify (z*z*(z*z/(z/z**26))/z*z*z/((z*z**(-2)/z)/z*z))**(-6) assuming z is positive. z**(-192) Simplify (b**(-2/3)*b**(-2/17))/(b**(1/25)/b**(-7)) assuming b is positive. b**(-9976/1275) Simplify ((k*k/((k/(k*k**5))/k))/k**9)/(k**(3/14)/k**6) assuming k is positive. k**(67/14) Simplify (t*(t/(t*t**7))/t)**(-20)/(t**(-4)/t**(-4)) assuming t is positive. t**140 Simplify ((s**(-2/3))**30/(s**2/s)**10)**(-12/11) assuming s is positive. s**(360/11) Simplify ((i**(-3/16)*i**(-1/9)*i)**(-2/51))**50 assuming i is positive. i**(-2525/1836) Simplify h**8*h**(6/7)*h**(-2/19)*h**(5/6) assuming h is positive. h**(7649/798) Simplify (((k*k/(k**(2/23)*k)*k)/k**4)/(k*k*k**(-1/3)*k)**(-11))**(-29) assuming k is positive. k**(-54520/69) Simplify ((o**(-1/2))**(2/19)*(o**1)**(-13/4))**(-1/34) assuming o is positive. o**(251/2584) Simplify ((t**(3/7))**(5/8)/(t*t/(t**(-6)*t)*t**(-1/3)*t))**(-14) assuming t is positive. t**(1243/12) Simplify (g*g**(4/5)*g**(1/4)/g)/(g/((g*g/g**(-2/19))/g)*g**(-25)) assuming g is positive. g**(9939/380) Simplify (k**(-7)/k**11*(k**(1/5)/k)**(-30))**(-3/13) assuming k is positive. k**(-18/13) Simplify (m*m**(-7)/m)/(m**(3/16)*m)*((m/m**18)/m*m)/(m/(m**4/m)) assuming m is positive. m**(-371/16) Simplify g**(-9)/(g*g**13)*g**(-3/2)*g**(1/21) assuming g is positive. g**(-1027/42) Simplify (l/(l*l*l**12)*l*l/(l*l**(-8/5)/l))/(l**(2/19)/l**(-9)) assuming l is positive. l**(-1758/95) Simplify ((f**(6/7)*f)/f)/(f*f/f**2)*f**8*f**(-10) assuming f is positive. f**(-8/7) Simplify (a**(-14)/(a*a**(-1/20)/a))/(a*a*a**5)**4 assuming a is positive. a**(-839/20) Simplify m/(m*m*m/((m**(-9)*m*m*m)/m)*m)*m*m**(-2/25)/m*(m/(m/(m*m**(6/19))))/m*m*m**(-7/5) assuming m is positive. m**(-4828/475) Simplify ((d*d**4*d*d)/(d*d**(4/5)))/(d*d**3)**(12/5) assuming d is positive. d**(-22/5) Simplify (l**(-4/7))**(-2/5)/(l**13*l**(3/8)) assuming l is positive. l**(-3681/280) Simplify (d*d/(d**(-1)/d)*d)**(1/19)*d**(-1/32)/(d*(d/d**(-4/13))/d) assuming d is positive. d**(-8503/7904) Simplify ((o**(-16))**(-3/19))**(-8/3) assuming o is positive. o**(-128/19) Simplify j**(-22)/(j*j**33/j*j*j)*(((j*j**17)/j)/j)**(-3/8) assuming j is positive. j**(-63) Simplify (u*u**15)/(u*u*u**(-17)/u*u)*(u/u**15)/(u*u/(u*u**(2/3)*u*u)) assuming u is positive. u**(56/3) Simplify (s**(-2/7)*s**(-3/8)*s*s*s*s*s*s**0*s*s*s*s*(s*(s**(-3/8)*s)/s)/s)**(13/4) assuming s is positive. s**(2899/112) Simplify ((((v*v*v*v**(-1/7))/v)/(v**(-1/3)*v*v))/(v**(2/17)/(v**(-5)/v)))**(-11) assuming v is positive. v**(23276/357) Simplify ((n/n**(-2/67))**(-46))**32 assuming n is positive. n**(-101568/67) Simplify o**(-20)*o**(-12)*((o/o**(1/16))/o)/(o*o**0*o) assuming o is positive. o**(-545/16) Simplify ((b/(b*(b/(b**(-3/8)/b))/b*b))/(b/b**(-32)))/(b**(2/37)*b*b/(b*b/((b/((b**(14/5)*b)/b))/b))) assuming b is positive. b**(-48291/1480) Simplify (((((q/((q*q/(q/(((q/((q/(q/(q*q**(2/15))*q*q))/q))/q)/q)))/q))/q)/q)/q**(7/5))**(-12/13))**21 assuming q is positive. q**(4116/65) Simplify ((d*d**(2/7)*d*d)/d*d*d)**(-5/12)*(d/(d**26*d))/(d*d**(-6)) assuming d is positive. d**(-319/14) Simplify (c**(-25))**(3/4)*c**(-33)/(c*c**(10/3)) assuming c is positive. c**(-673/12) Si
{ "pile_set_name": "DM Mathematics" }
92*g - 4483*g + 1495*g + 5 + 0. Let f = 1 + -3. Determine q(f). -5 Let c(d) be the third derivative of -d**6/120 + d**5/30 + 3*d**4/8 - 4*d**3/3 + 12132*d**2. Determine c(4). -4 Let r(x) = 5*x - 6. Suppose 0 = -3*b, 4*s - 15*b + 19*b = 24. Determine r(s). 24 Let b be (66/(-18))/(2/6). Let o = 10 + b. Let x(a) be the second derivative of 3*a**5/20 + a**4/12 - a**3/6 - a**2/2 - 10*a + 5. Give x(o). -2 Let q(n) = -n**3 + 3*n**2 + 4*n + 2. Let k(d) = -d + 87. Let c be k(47). Suppose -2*w + c = 8*w. Calculate q(w). 2 Let h(q) = -5*q + 42. Let t be h(8). Let f(m) = -9*m**2 + 37*m**2 - 21*m**t + m - m**3 - 6. What is f(7)? 1 Let x be (1/8)/((-333)/(-666)). Let p(u) be the first derivative of 0*u**2 - 1/3*u**3 + 10 - x*u**4 + 2*u. Determine p(0). 2 Let t(x) = -x - 7. Let g be (5/15)/((-4)/(-12)) - -503. Suppose 7*k = g - 112. Let a = -56 + k. What is t(a)? -7 Let k(s) = 0 - s**2 - 1 + 3 - 11 + 11*s - 8. Determine k(11). -17 Let m(j) be the second derivative of j**4/12 + 3*j**3 + 79*j**2/2 - 2413*j. Give m(-10). -1 Let p(w) = -w**2 + 41 - 2*w - 5*w**2 - 89 + 42 + 4*w**2. Determine p(-2). -10 Let t be ((-2)/4 + 1)*-30. Let b = 404 + -412. Let w be (-2 + 44/b)*12/t. Let c(d) = -d + 12. What is c(w)? 6 Let c(x) = 54 + x**2 + 116*x - 28*x - 35*x - 39*x - 28*x. Calculate c(8). 6 Let h be (70/(-6))/((-32)/96). Let r(w) = -w**2 + 33*w + 73. What is r(h)? 3 Suppose -4*c = -2*a - 12, -5*a - 29 = c + 1. Let n(f) = f**2 + 3*f - 13. Determine n(a). 5 Let s(l) = -l**3 + 14*l**2 - 3*l + 5. Let y = -2372 + 2386. Determine s(y). -37 Let l(s) = s**3 + 7*s**2 + 6*s + 5. Suppose -8*f - 643 = -603. What is l(f)? 25 Let g(y) = y**3 + 5*y**2 - 8*y - 6. Let a be 24/4 + -18 - (-4 + -2). Calculate g(a). 6 Let k(v) = -2*v + 6. Let d(x) = 2*x - 5. Let p(l) = 7*d(l) + 6*k(l). Let y = -11 - 88. Let j = y - -96. Determine p(j). -5 Suppose 4*r + 4*a = -12, 2*r + 10 = 2*a + 4. Let v be -19*r/9 + (-12)/(-18). Let k(b) = -b**2 + 9*b - 7. Give k(v). 7 Let f(s) = -15*s - 42. Let x(k) = -31*k - 63. Let i(g) = 8*f(g) - 5*x(g). Determine i(1). 14 Let j be (3/(-3))/(((-72)/(-152))/9). Let r(s) be the second derivative of -s**4/12 - 10*s**3/3 - 11*s**2/2 - s + 3. What is r(j)? 8 Let t = -280 - -282. Let j(y) = y**t - 1 - 16*y**2 + 4*y**3 + 2*y + 14*y**2. What is j(1)? 4 Let d(u) = u**3 + 10*u**2 + 14*u + 9. Let r be d(-7). Suppose -8*a - 62 = r. Let m(q) = q + 9. What is m(a)? -6 Suppose -3*w + 2*w = 3. Let c(a) be the third derivative of -a**5/10 - 5*a**4/24 - 2*a**3/3 - 35*a**2 + a + 88. Determine c(w). -43 Let h(r) = -r**3 - 5*r**2 + 7*r + 2. Let k(o) = 4419 + 2*o**3 - 3*o**3 + 13*o**2 - 4425. Let a be k(13). What is h(a)? -4 Suppose -217 = -85*m + 123. Let l(r) = 1 - 5*r - 3 + 6*r. What is l(m)? 2 Suppose 2*k = 2*i - 48, 4*i - 9*k = -12*k + 75. Let c(s) = -s**3 + 19*s**2 + 44*s - 32. Calculate c(i). 10 Let w(c) = -c**3 - c**2 + 7*c - 5. Let r(p) = -17*p - 68. Let q be r(-5). Let h(j) = -3*j**3 - 2*j**2 + 21*j - 15. Let b(y) = q*w(y) - 6*h(y). What is b(6)? -1 Let i(f) be the third derivative of -1/6*f**5 - 145*f**2 + 0*f + 1/120*f**6 + 3/8*f**4 - 5/6*f**3 + 0. Calculate i(9). -5 Let o be 1/(12/8)*-3. Let r(n) = n**2. Let s(a) = 5*a**2 + 3*a + 2. Let x(h) = 3*r(h) - s(h). What is x(o)? -4 Let m(u) = 195*u + 200*u + 207*u - 57 - 613*u. Give m(-5). -2 Let b(j) = 2*j**3 - 10*j**2 - 15*j + 17. Let f(i) = 114*i - 1248. Let z be f(11). Calculate b(z). -1 Suppose -4 - 8 = -3*z. Suppose 0*j = 5*s + z*j - 13, 2*j - 7 = -3*s. Let y(m) = -m + 8 + s - 4 + 2. Give y(-5). 12 Suppose 0 = -228*g + 226*g + 6. Let l(p) = g*p**2 + 0*p**2 - 4*p**2 + p**2 - 2 + p**2 + p. Let a = 5 + -2. Give l(a). 10 Let u(m) = 5*m - 7. Let q be (-114 - -114) + (6/(-7))/(3/21). Determine u(q). -37 Let g(h) = 13 - 1960180*h + 1960181*h + 7. What is g(-22)? -2 Let p(x) = 2*x**2 - 2*x - 3. Let v(j) = -2*j - 4. Let t(s) = 8*s + 17. Let n(c) = 2*t(c) + 9*v(c). Let w(g) = n(g) - p(g). Let y be 3 + (-2)/(2/2). Give w(y). -1 Let b(h) = -20*h + 5. Let x(m) = 144*m - 32. Let k(d) = -22*b(d) - 3*x(d). Determine k(2). 2 Let h(f) be the first derivative of f**5/20 - f**4/4 + f**3/3 + 2*f**2 + 20*f + 32. Let u(z) be the first derivative of h(z). Calculate u(3). 10 Let x(k) = 13*k**2 - 2*k + 13. Let a(s) = -s - 144 + 0*s**2 + 4*s**2 + 148. Let d(p) = 7*a(p) - 2*x(p). Let l be (-1 - 2/(-4))*-4. Determine d(l). 4 Let o(y) be the third derivative of y**6/120 + 13*y**5/60 + y**4/2 + 7*y**3/3 - 373*y**2 + 3. Give o(-12). 14 Let f(h) = h**3 - 7*h**2 - 8*h + 11. Let m(j) = 9*j**3 + 3*j**2 - 3*j + 2. Let y be m(2). Suppose 86*b - 48 = y*b. Give f(b). 11 Let l(m) = -m**3 + 17*m**2 + 20*m - 40. Suppose -3312 = -162*z - 22*z. Give l(z). -4 Let c(m) = -16*m - 2. Suppose 3*r = -2*a - 5, 4 = -63*a + 64*a - 5*r. Calculate c(a). 14 Let o(x) = -x + 8. Suppose -k = -5*d - 321, 2*k = 4*d + 115 + 143. Let a = -58 - d. Calculate o(a). 2 Let i(d) be the first derivative of 128*d**3 + 91 - d**2 - 18 - 74*d**3 + 2*d - 66*d**3 - d. What is i(1)? -37 Let x(y) = -6*y**2 + 55 - 51 - 2*y - 2*y**3 + 6*y - 12*y. Calculate x(-3). 28 Let u(d) be the second derivative of -d**5/20 - 19*d**4/12 + 5*d**3/2 - 54*d**2 - 116*d - 2. Calculate u(-20). -8 Suppose -b = b - 4. Suppose 0*w = -b*w - 8. Let h(a) = 435*a + 3*a**2 + 464*a + a**3 + 2 - 902*a. Determine h(w). -2 Let b(s) = 2*s**2 + 2*s - 8. Let f be b(2). Suppose -6*j = f*j + 150. Let m be (-80)/j - 1/3. Let x(l) = l - 6. Give x(m). -1 Let d = -812 + 813. Let p(a) = -a**3 - 5*a - 2. Let k(u) = -u**3 - 2*u - 1. Let h(c) = 9*k(c) - 4*p(c). Determine h(d). -4 Suppose 0 = 97*x - 103*x + 2118. Suppose -27*d - 110 + x = 0. Let y(w) = 2*w - 13. Determine y(d). 5 Let x(j) = -3*j**2 - 2*j + 3. Let r = 36 - 35. Let i be 1 - (-1 - 0) - -2. Let h(z) = z**2 - z + 1. Let q(n) = i*h(n) + r*x(n). Calculate q(5). 2 Let m(w) = -3*w**2 + 3*w - 9. Let a be (147/441)/(2/18). Give m(a). -27 Let w(k) be the third derivative of -5*k**4/24 + k**3/2 - k**2. Let v be w(2). Let p(h) = -225 + 400 - h + 47 - 228. What is p(v)? 1 Let u be 48/32*3/(9/4). Suppose -4*p = -0*a + a - 37, u*p = 5*a + 13. Suppose -2*o = -p*o. Let y(x) = -x + 15. What is y(o)? 15 Let z(p) be the second derivative of -p**4/12 + 5*p**3/3 + 9*p**2/2 + 988*p. Determine z(12). -15 Suppose 0*z - 9 = l - z, 0 = 4*l + 5*z - 9. Let a(r) be the third derivative of -r**6/120 - r**5/60 + r**4/4 + 2*r**3/3 - 1708*r**2. Calculate a(l). 28 Let a(r) = 59 + 60 - 5*r + r**2 + 14*r - 114. Calculate a(-9). 5 Let a(s) = -s**3 + 24*s**2 - 26*s + 84. Let y be a(23). Let q be y/(-2)*56/(-70) + 1. Let b(k) = k**3 - 6*k**2 - 10*k + 8. Determine b(q). -13 Let l = -54 + 59. Suppose -25 + 180 = l*y. Suppose -26*d = -y*d. Let h(j) = -j**2 - 1. Determine h(d). -1 Let v = 16886/9 + -16874/9. Let a(i) be the second derivative of -v*i**3 + 1/20*i**5 + 8*i + 0 - 3/4*i**4 - 11/2*i**2. Give a(10). 9 Let o(a) = -a**2 + a + 4. Suppose 6 = -3*w, -5*m + w = -27 - 295. Let l be 0/(3 - m/8). Calculate o(l). 4 Let w(d) = d + 38. Let h be w(-47). Let l(q) = q**3 + 6*q**2 - 30*q - 24. What is l(h)? 3 Let h = 63 - 55. Suppose -5*d - 3*r + 2 = 38, h = -d - r. Let y(k) = -3*k - 7. What is y(d)? 11 Let d(r) = 4*r**2 + 11*r + 6. Let s(f) = -14*f**2 - 42*f - 24. Let x(j) = 11*d(j) + 3*s(j). What is x(-1)? 1 Let d(z) = -2*z**3 + 3*z**2 - 13*z + 91. Let l(m) = 3*m**3 - 5*m**2 + 22*m - 181. Let n(i) = -5*d(i) - 3*l(i). Calculate n(0). 88 Let a(l) = 3*l + 7. Let j = 120 + -56. Let g = -34 + j. Let z = 24 - g. Determine a(z). -11 Let d(x) = 8*x**3 + 2*x**2 + x. Let p be d(-1). Let z be p/(21/36)*1/(-3). Let m(h) = -h**3 + 7*h**2 - 4*h - 5. What is m(z)? 27 Let v(n) = -4*n + 9. Suppose 1 = -4*w - 2*p - 3*p, -4*w + 5*p + 9 = 0. Let j be 686/168 - w/12. Determine v(j). -7 Let l(a) be the second derivative of 0 + 4*a**2 + 48*a + 1/6*a**3. Suppose -27 = -4*c - 3. Determine l(c). 14 Let z(d) = d**3 - 21*d**2 - 26*d + 57. Suppose -1364 = -3896*c + 3834*c. Determine z(c). -31 Let h(b) = b**3 - 9*b**2 + 9*b + 39. Let o be h(7). Let y(n) = 2*n**2 - 8*n - 2. Give y(o). -2 Let w(t) be the second derivative of t**3/6 - 4*t**2 + 3*t. Let k be w(9). Let i(f) be the first derivative of 3*f**4/2 - f**3/3 + 258. Determine i(k). 5 Let i(z) = 124*z - 148*z + 26 + 38*z**2 - 37*z**2. What is i(23)? 3 Let p(f) = -4*f + 13. Suppose 15*w - 19*w = 15*w - 76
{ "pile_set_name": "DM Mathematics" }
j)/(j/(j*j/(j/(j/(j*j**(-1/2)))))))/(((j/j**(-5/4)*j)/j)/j*j**1))**10 assuming j is positive. j**(-215/26) Simplify ((x**(1/7)/((((x/(x/(x*x**(-10)))*x)/x)/x)/x))/(x*x**(1/9))**(-36))**(-6/13) assuming x is positive. x**(-2148/91) Simplify (d/((d*d/(d/(d/(d**(1/5)/d))))/d)*d**(3/2))/(d**11/(d/((d/(d*(d*d**(-1)/d)/d))/d))) assuming d is positive. d**(-103/10) Simplify d**(-3)*d**(-2/9)*d/d**8*d/(((d/(d*d/(d**(-1)/d)*d))/d)/d) assuming d is positive. d**(-29/9) Simplify (((g/g**(-1/26))/g)/g)**(-1/6)*(g**17)**(-3/5) assuming g is positive. g**(-7831/780) Simplify (j*j**(2/25))**(-33)*j**10*j**(-4/5) assuming j is positive. j**(-661/25) Simplify (n**3)**(-23/3)/((n/n**3)/n)**16 assuming n is positive. n**25 Simplify ((n**(-2/31)/(n*n**(-1/10)))**(1/15))**(-9/10) assuming n is positive. n**(897/15500) Simplify (((x/(x/((x**(-9)/x*x)/x)))/(x*x/(x/(x*x**9))*x))/(x**0/x*x)**(1/30))**(-5) assuming x is positive. x**110 Simplify (q/(q*q*q/q**(-3/5)*q)*q*q*q**12)/(q**(-2))**14 assuming q is positive. q**(192/5) Simplify u**(1/22)/u**14*u/(u/u**(-3))*u*u**15*u assuming u is positive. u**(1/22) Simplify (p/(p/(p/(p/p**(2/5)*p))))**(-10/3)/((p*p*p**(-1/10)*p)/p)**(-7/5) assuming p is positive. p**(233/50) Simplify (q*q**(-3)*q)**(-1/17)/(q**(2/5)/q)**(-25) assuming q is positive. q**(-254/17) Simplify (((x/(x*x*x/x**(3/8)*x*x*x))/x**(-3/8))**(-10/9))**(-2/31) assuming x is positive. x**(-85/279) Simplify ((c**(1/5)*c**14)**(3/23))**(1/52) assuming c is positive. c**(213/5980) Simplify ((a/a**(-1/5))/a**17)/((a*a**(-3/4))/a**(1/8)) assuming a is positive. a**(-637/40) Simplify t**15/t*t**(-4)*t**(-8/5)/(t**1/t) assuming t is positive. t**(42/5) Simplify (((v*v**(-18)*v)/(v**(-3/7)*v))**(4/17))**(-48) assuming v is positive. v**(22272/119) Simplify p**(7/3)*p**(5/4)*p**(5/2)*p*p/p**25 assuming p is positive. p**(-203/12) Simplify (u/u**(-2/3))**(-4/13)*u/(u*u**(-9/4))*u**(2/25) assuming u is positive. u**(7087/3900) Simplify ((h/(h**(-7/6)/h))/h)**(-6/31)/(h**(2/75)/((h**31*h)/h)) assuming h is positive. h**(71038/2325) Simplify (n/n**(-2/5))**43/(n**(-4/5)*n*n)**(-40) assuming n is positive. n**(541/5) Simplify (w/w**(2/87))**(-41)*w**(-1/19)/w*(w**(-4/15)/w)/w assuming w is positive. w**(-119503/2755) Simplify v**6*v**(-35)*(v*v**(8/3))/(v*v**(-11/5)) assuming v is positive. v**(-362/15) Simplify (g/((g*g**4*g)/g)*g*g**(8/5))/(g/g**(-2/93)*g**24) assuming g is positive. g**(-12286/465) Simplify (b/(b*b*b/b**(-1/4)))**(-13/6)/(b/b**2*(b/b**(-7/6))/b) assuming b is positive. b**(113/24) Simplify (j**(-18)/j)/(j**(-6)*j)*(j/(j*(j**(-5)*j)/j))/(j**8/j) assuming j is positive. j**(-16) Simplify (z**(1/6))**41/(z**(1/7))**(-1/15) assuming z is positive. z**(479/70) Simplify c**(-10)*c*c**1*(c**3)**(-5/3) assuming c is positive. c**(-13) Simplify w**18/w**20*(w**(-2))**(-1/49) assuming w is positive. w**(-96/49) Simplify ((p**(2/9)/p**(-1/7))/(p**5*p*p**(1/8)*p))**(-4/41) assuming p is positive. p**(3407/5166) Simplify (h**(-2/25)/h)**(-13/3)*(h**(-13)*h)/(h/h**(-9)) assuming h is positive. h**(-433/25) Simplify (((d**(-1/2)/d*d)/d**(-2/11))/(d**(-1/2))**26)**(-1/26) assuming d is positive. d**(-279/572) Simplify (z**(-16)/z**(-1))/((z*z/(z*z/(z*z/(z*(z*z**(3/10)/z*z)/z))*z)*z)/((z*z**(2/37))/z)) assuming z is positive. z**(-5789/370) Simplify ((t*t*t**(-5))/(t*t**(-16)*t))**(1/14) assuming t is positive. t**(11/14) Simplify (s**(-3)/s**(-3/2))/((s**15/s*s)/s**(-4)) assuming s is positive. s**(-41/2) Simplify (j*(j*j/((j/(j/(j*j*j/j**(-3))*j))/j*j))/j*j)/(j/j**(3/8)*j*j*j)*j**(-3/4)/(j/j**(4/5)) assuming j is positive. j**(-263/40) Simplify k*k/k**(-6/11)*k*k**0*k*(k**(-3))**(-4/7) assuming k is positive. k**(482/77) Simplify (v*(v/v**(-3))/v)**(-15/4)*(v/(v**1*v))**(-5/6) assuming v is positive. v**(-85/6) Simplify (d**(4/5)*d*d**(2/9))/(d**(-6/17)/(d/(d**(-4)*d))) assuming d is positive. d**(4877/765) Simplify ((v/(v*v**(-1/3)))/v**8)/((v/v**(-3)*v)/v)**(2/33) assuming v is positive. v**(-87/11) Simplify (u**10/u)**(-25)*(u**(-1))**(-2/3) assuming u is positive. u**(-673/3) Simplify ((z*z*z**(2/33)*z*z)/z*z)**37/(((z**(2/11)/z)/z)/(z**(3/14)/z)) assuming z is positive. z**(69889/462) Simplify ((a/(a/a**(-9/2)))/a*a/((a/(a**(-32)*a*a*a))/a*a))**(5/17) assuming a is positive. a**(-345/34) Simplify (((f**(1/2))**(-3/5))**(-2))**(21/2) assuming f is positive. f**(63/10) Simplify (a**15*a**4/a)/(((a**(-9)/a)/a)/a**(-4/9)) assuming a is positive. a**(257/9) Simplify ((o**1/(o*o**(-5/2)))/(o**12/o**(3/2)))**(-8/5) assuming o is positive. o**(64/5) Simplify (x**(2/11)*x*x)/x*x*x*x/x**(-22)*((x**12/x)/x)/x*x**(-17)/x assuming x is positive. x**(189/11) Simplify (o*o*o/(o/(o/o**26)))/o**(1/19)*o/o**(1/8)*o*o**(-1/12)/o assuming o is positive. o**(-10151/456) Simplify (w**(-2/7)*w*w**(-28)/w)/(w**13*w**9*w) assuming w is positive. w**(-359/7) Simplify (l**(1/2))**24*l**(9/2)*(l**(-3/2)*l)/l assuming l is positive. l**15 Simplify (k**13*k*k*k/k**(-3/8))/((k/(k/(((k*k**(-1/12))/k)/k)))/(k*k**(10/9)*k)) assuming k is positive. k**(1481/72) Simplify l/l**(-5/4)*l/l**14*(l**(5/3))**(-40) assuming l is positive. l**(-929/12) Simplify (j*j**(-4/7)*j)/(j/(j**0*j))*(j**(2/11)*j)**(-11) assuming j is positive. j**(-81/7) Simplify ((v**(3/2)/v*v**(2/7)*v)**(-3/20))**(-12/11) assuming v is positive. v**(45/154) Simplify (d/(d*d*((d**0/d)/d*d)/d*d*d))**2/(d/d**(-1/2))**(-17/2) assuming d is positive. d**(43/4) Simplify (p**(-14)*p)/p*p*p**14*p**(-3/2)/p*p*p/(p/p**(-8)) assuming p is positive. p**(-17/2) Simplify (g*g**(-2/7))/(g/g**11*g)*g**(-1/20)/g*g*g**0 assuming g is positive. g**(1353/140) Simplify d**14*(d/(d**(1/5)/d))/d*(d**(3/20)*d)/d*d**(1/2)*d assuming d is positive. d**(329/20) Simplify (g/g**(-9))**(-2/9)/(g*g*g/(g*g**(-6))*g**(-2/13)/g*g) assuming g is positive. g**(-1178/117) Simplify ((a*a/(a/((a/(a/(((a/(a**(1/3)/a))/a*a)/a)*a))/a)))**(-49)/(a**(-5)*a**(3/10)))**9 assuming a is positive. a**(1893/10) Simplify (c*c*c*c*c*c**(4/19)/c*c)**(-40)*((c*(c/(c/(c/((c/((c/(c**(-9/7)/c))/c)*c)/c))))/c)/c)/(c*c/c**(-33)*c) assuming c is positive. c**(-32337/133) Simplify c**(-2/17)/c**18*c**(-3/4)/(c/((((c**(-23)/c)/c)/c)/c)) assuming c is positive. c**(-3187/68) Simplify (c**(4/11))**14*(c/(((c**(3/16)*c)/c)/c))/(c/((c/c**(17/5))/c)) assuming c is positive. c**(2203/880) Simplify (b**(-28)/((b*b**(1/56))/b))/(b**25*b**26/b) assuming b is positive. b**(-4369/56) Simplify ((b**(1/17))**(-1))**34 assuming b is positive. b**(-2) Simplify (((m*m**(-1/4))/m*m)**(-20)*m/(m/m**(-1/4))*m**6)**(-28) assuming m is positive. m**259 Simplify ((n**(-6)/n)/n*n**(-7)*(n**(2/7)*n)**2)**(3/5) assuming n is positive. n**(-261/35) Simplify (j*j*j/(j**17/j))/j*j**(2/5)/j*((j**(-16)*j)/j)/(j*j/j**(-2/15)) assuming j is positive. j**(-491/15) Simplify (x*x**0*x)**(-2)*x**(-9)/x**16 assuming x is positive. x**(-29) Simplify ((p*p/(p/p**(2/5)))/p**(1/8))/(((p/(p/(p/(p**8*p))))/p)/p*p**8) assuming p is positive. p**(131/40) Simplify ((d**6/d*d**6)/((d/(d/d**(-1/4)))/d**(-5/6)))**(5/13) assuming d is positive. d**(625/156) Simplify (c*c**16/c)/c*c/c**19*(c*(((c**20*c)/c)/c)/c)/c*c*c*c*c/(c/(c/(c/(c*c/(c/(c**(-2)*c))*c*c*c)))) assuming c is positive. c**21 Simplify (j**(-7)*j*(j/(j*j**(-13))*j)/j)/((j/(j*j**8/j))/(j*j/j**(-1/25))) assuming j is positive. j**(401/25) Simplify (v**(-1/10)/(v/(v/(v**(5/6)*v*v))))**(-2/3) assuming v is positive. v**(88/45) Simplify ((n/n**(2/3))**3/(n**(1/4)*n**(-2)))**(-1/26) assuming n is positive. n**(-11/104) Simplify (g**(-6)*g**8)/(g**(1/5)/(g*g/g**(-4))) assuming g is positive. g**(39/5) Simplify ((x/(x*x**(-14)))/x*x**18)/(x/x**(-4/11)*x**(-2/7)) assuming x is positive. x**(2304/77) Simplify ((z**(-4)*z*z*z*z**(-9)/z)/((z*z*z**(-2)*z*z)/(z*(z*(z**(3/8)/z*z)/z)/z)))**(33/5) assuming z is positive. z**(-3333/40) Simplify (k**(5/3))**(-13)*(k**(2/27))**(-2/3) assuming k is positive. k**(-1759/81) Simplify (((p*p**(1/2))/p**(1/9))/(p**(-4)*(p*p/(((p**0/p)/p)/p))/p))**(-1/68) assuming p is positive. p**(-25/1224) Simplify (y*y**(2/15)/y*y*y*y/(y**(-4/15)/y)*y)/(y**(1/8)/(y*y/y**(2/13)*y)) assuming y is positive. y**(4223/520) Simplify ((f/(f*((f**5/f)/f)/f)*f*f/f**5*f*f)**(-1/13))**(-1/6) assuming f is positive. f**(-1/26) Simplify (u**(1/2)*u/(u*u/(u/u**(3/7))))/(u/((
{ "pile_set_name": "DM Mathematics" }
mmon factor of 621390 and 189420. 2310 Calculate the highest common factor of 6200 and 358825. 775 Calculate the greatest common factor of 980 and 47369770. 490 Calculate the highest common divisor of 2709 and 5551371. 63 Calculate the highest common divisor of 37387 and 170471. 343 Calculate the greatest common factor of 356290 and 1727. 11 What is the highest common factor of 2245219 and 14043? 151 Calculate the greatest common divisor of 968 and 81992. 8 What is the highest common factor of 1883 and 33116052? 269 What is the highest common divisor of 78208 and 19328? 128 What is the highest common divisor of 12544375 and 1875? 625 Calculate the greatest common factor of 360 and 971160. 120 Calculate the greatest common factor of 1457 and 279227. 47 Calculate the greatest common divisor of 217090 and 7870. 10 What is the greatest common divisor of 10495002 and 420? 42 Calculate the highest common factor of 188285 and 85. 5 Calculate the greatest common divisor of 129672 and 249552. 72 Calculate the highest common divisor of 20 and 9278110. 10 Calculate the greatest common divisor of 12002 and 124950. 34 What is the greatest common factor of 26052 and 499876? 52 What is the highest common divisor of 152 and 25763772? 76 What is the highest common divisor of 66593957 and 398? 199 Calculate the highest common factor of 9477 and 612534. 39 Calculate the greatest common factor of 30864312 and 144. 72 What is the highest common divisor of 7 and 68693632? 7 What is the greatest common factor of 43596 and 10059? 21 Calculate the highest common factor of 56 and 9366232. 8 What is the greatest common divisor of 353 and 38929546? 353 Calculate the highest common factor of 607299 and 2667. 21 What is the highest common divisor of 4896 and 2306784? 96 Calculate the greatest common factor of 1287800 and 564. 188 Calculate the highest common factor of 664 and 18456. 8 Calculate the greatest common factor of 93666 and 137886. 402 Calculate the highest common factor of 31040 and 10427015. 485 What is the greatest common divisor of 108842054 and 310? 62 What is the greatest common divisor of 59389 and 1628? 11 What is the highest common divisor of 5472973 and 209? 11 What is the highest common divisor of 60928 and 955094? 238 What is the highest common factor of 86148534 and 24? 6 Calculate the greatest common factor of 32064 and 958464. 192 What is the greatest common divisor of 43266548 and 8? 4 Calculate the greatest common divisor of 11197095 and 18299. 631 What is the highest common divisor of 57 and 447347609? 19 What is the greatest common factor of 8850 and 564276? 354 Calculate the highest common factor of 21164 and 5019124. 1628 What is the greatest common factor of 454410 and 42415? 85 Calculate the greatest common divisor of 14500 and 485402. 58 What is the highest common factor of 158373553 and 13? 13 Calculate the highest common divisor of 12692691 and 1980. 99 Calculate the greatest common divisor of 5665292 and 46996. 1516 What is the highest common divisor of 3348 and 7490592? 1116 What is the highest common factor of 70 and 2259082? 14 Calculate the greatest common factor of 340522 and 3094. 182 Calculate the greatest common divisor of 1386641 and 188. 47 Calculate the highest common divisor of 128307 and 66975. 57 Calculate the highest common factor of 188039 and 6751. 43 What is the greatest common divisor of 5233659 and 430? 43 What is the greatest common factor of 20608 and 84224? 896 What is the highest common factor of 1624 and 14922472? 232 What is the greatest common factor of 12282 and 1761846? 138 What is the greatest common factor of 110842667 and 13? 13 What is the highest common divisor of 713 and 905855? 23 What is the highest common factor of 19542269 and 151? 151 Calculate the greatest common divisor of 11190797 and 180045. 4001 Calculate the greatest common factor of 699 and 61047. 3 What is the greatest common divisor of 72085 and 6175? 65 What is the greatest common divisor of 24 and 448624332? 12 What is the greatest common divisor of 15073924 and 3128? 92 What is the highest common factor of 71343 and 17325? 9 Calculate the greatest common divisor of 3000670 and 50. 10 Calculate the greatest common factor of 259300 and 585600. 100 What is the highest common factor of 72712991 and 26? 13 Calculate the greatest common factor of 8013752 and 1940. 388 What is the highest common divisor of 133896 and 154728? 168 What is the greatest common divisor of 22440 and 22223080? 7480 Calculate the highest common factor of 128322031 and 703. 37 Calculate the highest common divisor of 6876 and 1515012. 2292 What is the highest common divisor of 374459499 and 37? 37 What is the highest common divisor of 589118 and 7922? 34 What is the greatest common factor of 102920481 and 2623? 61 What is the highest common factor of 492701670 and 117315? 10665 Calculate the highest common factor of 1527228 and 5056. 316 Calculate the highest common divisor of 1682 and 344056. 58 What is the highest common divisor of 36360 and 89829? 9 What is the greatest common divisor of 12587991 and 6? 3 Calculate the highest common factor of 136 and 264564268. 68 What is the greatest common divisor of 1557 and 917073? 1557 What is the greatest common factor of 713200 and 1773600? 400 Calculate the highest common divisor of 21 and 8569644. 3 What is the greatest common factor of 129379940 and 220? 20 Calculate the greatest common factor of 120660684 and 24. 12 What is the greatest common divisor of 18 and 12743559? 9 Calculate the highest common divisor of 4573300 and 1748. 76 Calculate the greatest common divisor of 634889825 and 4150. 2075 What is the greatest common factor of 80556 and 64092? 588 What is the highest common divisor of 1750 and 88500125? 875 What is the greatest common factor of 103190 and 6592627? 607 What is the highest common divisor of 2376318 and 3654? 1218 What is the greatest common factor of 34 and 443242? 2 Calculate the highest common divisor of 13918200 and 15. 15 What is the greatest common factor of 3193 and 2636767? 31 Calculate the greatest common divisor of 50592 and 2494291. 527 What is the highest common divisor of 623224468 and 46? 46 Calculate the highest common factor of 106856 and 2793418. 722 What is the greatest common factor of 547 and 2801544191? 547 What is the highest common divisor of 231374666 and 38? 38 Calculate the greatest common factor of 3958162 and 5382. 598 Calculate the greatest common divisor of 37285001 and 3289. 299 What is the greatest common factor of 576 and 3838248? 72 What is the highest common divisor of 24192205 and 23? 23 What is the greatest common factor of 2910052 and 722108? 4324 Calculate the highest common divisor of 6 and 74642224. 2 Calculate the greatest common factor of 13413 and 267915733. 4471 What is the highest common divisor of 15235276 and 2744? 196 Calculate the greatest common factor of 81412842 and 2286. 762 What is the greatest common factor of 368 and 69055232? 16 Calculate the greatest common divisor of 6160504 and 124936. 1288 Calculate the greatest common factor of 2854830 and 872070. 1230 What is the highest common factor of 142378 and 1285? 257 What is the greatest common factor of 11501 and 2586241? 371 Calculate the greatest common divisor of 11999 and 34788819. 169 What is the greatest common divisor of 5541786 and 6519? 159 What is the greatest common divisor of 79223505 and 1740? 435 What is the highest common divisor of 84 and 62780628? 12 Calculate the highest common factor of 49495316 and 6260. 1252 Calculate the greatest common divisor of 142065 and 276870. 165 Calculate the highest common factor of 39 and 107016910. 13 What is the highest common divisor of 123 and 47897799? 123 Calculate the greatest common factor of 1098 and 253480437. 549 Calculate the greatest common factor of 4437 and 38607. 51 Calculate the greatest common factor of 8288 and 4601024. 1184 What is the highest common factor of 27901335 and 19380? 255 Calculate the highest common divisor of 1790 and 91924555. 895 Calculate the greatest common divisor of 318812755 and 2385. 265 Calculate the greatest common divisor of 227262 and 7644. 294 What is the greatest common factor of 1446212 and 54
{ "pile_set_name": "DM Mathematics" }
4*c. 4*c*(c - 4)*(c + 12)/3 Solve -2*p**4 + 36*p**3 - 210*p**2 + 464*p - 288 = 0 for p. 1, 4, 9 Factor -5*m**4 - 15*m**3 - 10*m**2. -5*m**2*(m + 1)*(m + 2) Factor 2*y**3/5 + 206*y**2/5 + 1120*y + 3000. 2*(y + 3)*(y + 50)**2/5 Factor -4*b**3 + 644*b**2 - 26240*b + 25600. -4*(b - 80)**2*(b - 1) Factor -3*j**2 - 6930*j - 4002075. -3*(j + 1155)**2 What is d in -d**2/11 - 23*d/11 = 0? -23, 0 Find z such that -2*z**5 + 28*z**4 - 24*z**3 - 28*z**2 + 26*z = 0. -1, 0, 1, 13 Solve -28*i**5 - 132*i**4 + 432*i**3 - 112*i**2 = 0 for i. -7, 0, 2/7, 2 Solve -c**2/4 + 577*c/4 + 289/2 = 0 for c. -1, 578 What is k in k**3 + 15*k**2 - 81*k - 95 = 0? -19, -1, 5 Find r such that -5*r**2 - 840*r - 35280 = 0. -84 Let -5*y**4 + 10*y**3 + 5515*y**2 - 5520*y - 1523520 = 0. Calculate y. -23, 24 Solve -6075*c**4 + 540*c**3 - 12*c**2 = 0. 0, 2/45 Find t, given that -14*t**3/5 - 52*t**2/5 - 8*t + 16/5 = 0. -2, 2/7 Suppose -3*l**3 + 69*l**2 - 126*l = 0. Calculate l. 0, 2, 21 Suppose -16*x**2 - 76*x + 120 = 0. Calculate x. -6, 5/4 Factor w**3 - 121*w**2 + 3599*w + 3721. (w - 61)**2*(w + 1) What is l in 5*l**4 + 1390*l**3 + 2765*l**2 + 1380*l = 0? -276, -1, 0 Let -5*o**4 + 63*o**3 + 96*o**2 + 28*o = 0. Calculate o. -1, -2/5, 0, 14 Determine u, given that 24*u**2/11 - 430*u/11 - 36/11 = 0. -1/12, 18 Let -g**4/3 - 85*g**3/3 - 616*g**2 - 588*g = 0. Calculate g. -42, -1, 0 Factor 5*v**3 - 28*v**2 - 47*v - 14. (v - 7)*(v + 1)*(5*v + 2) Factor -3*k**2 + 384*k - 381. -3*(k - 127)*(k - 1) Factor 2*d**3 - 38*d**2 + 152*d - 168. 2*(d - 14)*(d - 3)*(d - 2) Determine j so that j**2 = 0. 0 Find v, given that 4*v**5 + 36*v**4 + 56*v**3 - 136*v**2 - 60*v + 100 = 0. -5, -1, 1 Solve 21*i**3/2 - 41*i**2/4 - i/4 = 0 for i. -1/42, 0, 1 Factor -v**3/2 + 13*v**2/2 - 28*v + 40. -(v - 5)*(v - 4)**2/2 Find s, given that -s**4/4 + s**3/2 + 2*s**2 - 9*s/2 + 9/4 = 0. -3, 1, 3 Factor -5*k**3 - 300*k**2 + 305*k. -5*k*(k - 1)*(k + 61) Suppose -5*s**4 + 15*s**3 + 30*s**2 - 40*s = 0. What is s? -2, 0, 1, 4 Suppose -5*f**3 + 115*f**2 + 130*f - 240 = 0. What is f? -2, 1, 24 Factor 15*g**2 + 1475*g/2 + 245/2. 5*(g + 49)*(6*g + 1)/2 Determine r so that -5*r**4 - 290*r**3 - 4985*r**2 - 22620*r - 30420 = 0. -26, -3 Let x**5 + 29*x**4 + 233*x**3 + 655*x**2 + 450*x = 0. Calculate x. -18, -5, -1, 0 Factor 5*c**3 - 530*c**2 + 1555*c - 1030. 5*(c - 103)*(c - 2)*(c - 1) Determine j, given that 75*j**5/4 - 60*j**4 + 18*j**3 + 48*j**2 + 12*j = 0. -2/5, 0, 2 Factor -u**2/3 + 22*u/3 + 23/3. -(u - 23)*(u + 1)/3 Factor -d**2/3 + 35*d + 106/3. -(d - 106)*(d + 1)/3 Let 3*a**4/4 - 417*a**3/2 + 57963*a**2/4 = 0. Calculate a. 0, 139 Solve -4*t**3 + 12*t**2 + 40*t - 96 = 0. -3, 2, 4 Factor m**4 - 84*m**3 - 3*m**2 + 250*m + 168. (m - 84)*(m - 2)*(m + 1)**2 Find y, given that 4*y**2/7 - 16*y = 0. 0, 28 Factor -d**3/5 - 29*d**2/5 - 114*d/5 + 144/5. -(d - 1)*(d + 6)*(d + 24)/5 Factor -w**2/6 - 187*w/6. -w*(w + 187)/6 Factor 2*b**2/23 - 148*b/23 + 288/23. 2*(b - 72)*(b - 2)/23 Factor 3*y**2 - 132*y + 1452. 3*(y - 22)**2 Factor 5*v**2 + 245*v + 240. 5*(v + 1)*(v + 48) Factor 2*j**2/9 + 28*j/9 + 16/3. 2*(j + 2)*(j + 12)/9 Factor -15*f**2 + 363*f - 72. -3*(f - 24)*(5*f - 1) What is c in 160*c**4 + 368*c**3 + 258*c**2 + 52*c + 2 = 0? -1, -1/4, -1/20 Factor -2*y**5/9 + 110*y**4 - 18150*y**3 + 998250*y**2. -2*y**2*(y - 165)**3/9 Find v such that v**3 - 39*v**2 - 42*v + 80 = 0. -2, 1, 40 Suppose n**2/6 + 232*n/3 + 26912/3 = 0. What is n? -232 Find i, given that -2*i**3/15 - 86*i**2/15 - 388*i/15 - 304/15 = 0. -38, -4, -1 Factor -2*a**3/3 - 52*a**2/3 - 126*a - 240. -2*(a + 3)*(a + 8)*(a + 15)/3 Determine m so that m**3/3 - 2*m**2/3 - m = 0. -1, 0, 3 Factor -4*c**2 + 76*c + 80. -4*(c - 20)*(c + 1) Let -2*o**4 + 74*o**3 - 1026*o**2 + 6318*o - 14580 = 0. Calculate o. 9, 10 Find a such that 4*a**3 + 28*a**2 + 60*a + 36 = 0. -3, -1 Factor 10*h**3/7 - 1296*h**2/7 + 6144*h - 65536/7. 2*(h - 64)**2*(5*h - 8)/7 Find u such that 24*u**4 + 70*u**3 + 72*u**2 + 30*u + 4 = 0. -1, -2/3, -1/4 Let 3*y**4 - 63*y**3 + 297*y**2 + 363*y = 0. Calculate y. -1, 0, 11 Determine v, given that -5*v**5/3 - 40*v**4 + 260*v**3/3 - 10*v**2/3 - 85*v + 130/3 = 0. -26, -1, 1 Suppose -5*c**2 - 100*c + 105 = 0. What is c? -21, 1 Suppose 4*r**2 - 176*r + 492 = 0. What is r? 3, 41 Factor o**2/5 - 209*o/5 - 42. (o - 210)*(o + 1)/5 Let -4*v**3 - 211*v**2 + 269*v - 54 = 0. Calculate v. -54, 1/4, 1 Find q, given that -q**4 - 100*q**3 - 290*q**2 + 100*q + 291 = 0. -97, -3, -1, 1 Suppose 2*d**2/7 - 22*d/7 + 48/7 = 0. What is d? 3, 8 Factor -x**4 - 23*x**3 + x**2 + 23*x. -x*(x - 1)*(x + 1)*(x + 23) What is c in 2*c**4/7 - 60*c**3/7 + 208*c**2/7 = 0? 0, 4, 26 Factor -15*x**2/2 + 63*x - 24. -3*(x - 8)*(5*x - 2)/2 Factor -g**2 + 12*g - 11. -(g - 11)*(g - 1) Factor p**3/11 - 23*p**2/11 - 49*p/11 + 1127/11. (p - 23)*(p - 7)*(p + 7)/11 Determine h, given that 4*h**5 - 20*h**4 - 4*h**3 + 68*h**2 + 48*h = 0. -1, 0, 3, 4 Factor -5*r**2 + 90*r + 1215. -5*(r - 27)*(r + 9) Let 3*a**3 - 6*a**2 - 3*a + 6 = 0. Calculate a. -1, 1, 2 Find n, given that 2*n**5/11 - 8*n**4/11 - 26*n**3/11 + 8*n**2/11 + 24*n/11 = 0. -2, -1, 0, 1, 6 Factor a**4/8 + a**3/8. a**3*(a + 1)/8 Let -10*g**5 + 104*g**4 - 170*g**3 - 548*g**2 - 120*g + 144 = 0. What is g? -1, 2/5, 6 Factor u**4/7 - 22*u**3/7 - 24*u**2/7 + 22*u/7 + 23/7. (u - 23)*(u - 1)*(u + 1)**2/7 Solve -2*b**3 + 6*b + 4 = 0. -1, 2 What is z in z**3 - 6*z**2 = 0? 0, 6 Factor -p**3/3 + 14*p**2/3 - 44*p/3 + 40/3. -(p - 10)*(p - 2)**2/3 Solve 5*o**5 + 85*o**4 - 210*o**3 - 370*o**2 + 205*o + 285 = 0 for o. -19, -1, 1, 3 Solve -35*i**2/3 - 500*i/3 = 0 for i. -100/7, 0 Solve -2*o**5/7 + 34*o**4/7 - 134*o**3/7 + 174*o**2/7 - 72*o/7 = 0 for o. 0, 1, 3, 12 Factor -y**2/6 + 226*y/3 - 25538/3. -(y - 226)**2/6 Determine j so that -3*j**5 + 1512*j**4 - 1500*j**3 - 4542*j**2 + 7551*j - 3018 = 0. -2, 1, 503 Factor 10*c**4/9 + 14*c**3/9 + 4*c**2/9. 2*c**2*(c + 1)*(5*c + 2)/9 Suppose 4*y**3 + 24*y**2 - 4*y - 24 = 0. Calculate y. -6, -1, 1 Determine c, given that 4*c**3 + 720*c**2 + 33108*c + 63368 = 0. -89, -2 Factor 3*h**3 - 117*h - 210. 3*(h - 7)*(h + 2)*(h + 5) Factor 3*n**3 - 340*n**2 - 2768*n/3 - 1856/3. (n - 116)*(3*n + 4)**2/3 Factor -2*u**2/5 + 192*u/5 - 4608/5. -2*(u - 48)**2/5 Suppose -4*b**2/3 + 8*b/3 + 4 = 0. Calculate b. -1, 3 Factor -4*u**3 + 36*u**2 + 16*u - 144. -4*(u - 9)*(u - 2)*(u + 2) Find f such that 2*f**5/5 - 24*f**4/5 + 58*f**3/5 + 76*f**2/5 - 48*f + 128/5 = 0. -2, 1, 4, 8 Factor -f**3/2 - 59*f**2/4 + 563*f/4 + 74. -(f - 8)*(f + 37)*(2*f + 1)/4 Solve 2*i**5/9 - 14*i**4/9 + 10*i**3/3 - 2*i**2 = 0. 0, 1, 3 Find q, given that 2*q**5/3 - 8*q**4/3 - 56*q**3/3 - 64*q**2/3 = 0. -2, 0, 8 Find q such that q**5/3 + 28*q**4 + 1558*q**3/3 + 2256*q**2 - 18551*q/3 + 3380 = 0. -60, -13, 1 Suppose k**5/6 - 3*k**4/2 + 23*k**3/6 - 5*k**2/2 = 0. What is k? 0, 1, 3, 5 What is y in 10*y**2 - 395*y - 200 = 0? -1/2, 40 Determine l, given that -5*l**4/2 - 24*l**3 - 51*l**2 - 40*l - 21/2 = 0. -7, -1, -3/5 Solve -3*b**5 + 6*b**4 + 24*b**3 - 54*b**2 + 27*b = 0. -3, 0, 1, 3 What is c in c**3/2 + 6*c**2 - c/2 - 6 = 0? -12, -1, 1 Factor a**3/5 + 8*a**2/5 - 4*a. a*(a - 2)*(a + 10)/5 Factor 3*n**5 - 15*n**4 + 30*n**3 - 30*n**2 + 15*n - 3. 3*(n - 1)**5 Factor -n**3/5 - 2*n**2/5 + 21*n/5 - 18/5. -(n - 3)*(n - 1)*(n + 6)/5 Factor 4*w**3 - 28*w**2 - 68*w - 36. 4*(w - 9)*(w + 1)**2 What is f in f**5 + 78*f**4 + 1733*f**3 + 8136*f**2 + 6480*f = 0? -36, -5, -1, 0 Suppose 5*o**4 + 1250*o**3 + 82965*o**2 + 605000*o + 1171280 = 0. What is o? -121, -4 Factor 3*m**3 - 12*m. 3*m*(m - 2)*(m + 2) Determine v, given that v**4/4 + 3*v**3/4 - v**2/2 - 3*v - 2 = 0. -2, -1, 2 Suppose x**3/5 - 2*x**2 - 151*x/5 - 76 = 0. What is x? -5, -4, 19 Find g, given that 2*g**4/5 + 24*g**3/5 + 54*g**2/5 - 8*g/5 - 72/5 = 0. -9, -2, 1 Suppose -l**5/3 - l**4/3 + l**3 + 5*l**2/3 + 2*l/3 = 0. What is l? -1, 0, 2 Determine c, given that c**3/4 - 15*c**2/4 + 19*c/2 - 6 = 0. 1, 2, 12 What is p in 768*p**2 + 144*p + 27/4 = 0? -3/32 Find l, given that -5*l**2 - 1265*l - 1260 = 0. -252, -1 Let 3*l**2/7 + 219*l/7 - 222/7 = 0. Calculate l. -74, 1 Factor 2*w**2 + 15312*w + 29307168. 2*(w + 3828)**2 Suppose 2*c**2/25 + 12*c/25 - 22/5 = 0. What is c? -11, 5 Find m such that -3*m**5 + 27*m**4 + 3*m**3 - 627*m**2 + 1800*m - 1200 = 0. -
{ "pile_set_name": "DM Mathematics" }
e millions digit of 27745613? 7 What is the billions digit of 1187767498? 1 What is the units digit of 136186088? 8 What is the hundred millions digit of 3407473683? 4 What is the millions digit of 330389158? 0 What is the ten millions digit of 418527755? 1 What is the billions digit of 2940874901? 2 What is the thousands digit of 1487001067? 1 What is the thousands digit of 702164316? 4 What is the hundred thousands digit of 137959356? 9 What is the ten millions digit of 175826499? 7 What is the thousands digit of 3812792452? 2 What is the hundred millions digit of 633014548? 6 What is the ten thousands digit of 182691886? 9 What is the ten thousands digit of 148766258? 6 What is the thousands digit of 1057131023? 1 What is the hundred thousands digit of 602452728? 4 What is the tens digit of 4177714817? 1 What is the thousands digit of 590751116? 1 What is the units digit of 199368753? 3 What is the ten millions digit of 399813258? 9 What is the millions digit of 178024371? 8 What is the thousands digit of 691164? 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{ "pile_set_name": "DM Mathematics" }
5, -428, -4/3, -5, 4/5, 1/103 in ascending order. -428, -5, -4/3, 1/103, 4/5, 5 Sort -3, -181, 0.09855 in descending order. 0.09855, -3, -181 Sort -94, 0, 347. -94, 0, 347 Sort -1.2, 0.2, -4, -1, -19/5, -0.1. -4, -19/5, -1.2, -1, -0.1, 0.2 Sort 0, -5, -196 in ascending order. -196, -5, 0 Sort -2, 18, 6, 5 in ascending order. -2, 5, 6, 18 Sort -2, 78, 4, 12, 5, 3 in decreasing order. 78, 12, 5, 4, 3, -2 Sort 1, 5, -708 in increasing order. -708, 1, 5 Put -1006, 3, -4 in decreasing order. 3, -4, -1006 Sort 22, -37, -40 in increasing order. -40, -37, 22 Sort 3, 2/9, -3.4, 3/4, -5, 0.4 in decreasing order. 3, 3/4, 0.4, 2/9, -3.4, -5 Sort 0, -8, -2, -437, 3, 4 in decreasing order. 4, 3, 0, -2, -8, -437 Sort -5, 14, -6394 in increasing order. -6394, -5, 14 Put -53, 2, -7, 4, 92, -4 in descending order. 92, 4, 2, -4, -7, -53 Put -18, 8, 3, 1805 in descending order. 1805, 8, 3, -18 Put 4, -12, -15, 2, 0, -1 in descending order. 4, 2, 0, -1, -12, -15 Sort -8, 0.1, 1277, -0.3, 4 in increasing order. -8, -0.3, 0.1, 4, 1277 Sort -0.4, -4/9, -0.04, -1, 3/2 in decreasing order. 3/2, -0.04, -0.4, -4/9, -1 Put 1, 3436, -3 in ascending order. -3, 1, 3436 Sort -2, -4, -13, 267, 5 in decreasing order. 267, 5, -2, -4, -13 Sort 6, -2, -5, -4487, 0 in descending order. 6, 0, -2, -5, -4487 Put 220, -5, -4, 12 in descending order. 220, 12, -4, -5 Sort 4, 109, 17/6, -4 in increasing order. -4, 17/6, 4, 109 Sort -4, -1, -5, -18, 158 in descending order. 158, -1, -4, -5, -18 Sort 0, 3, 59, 2, -10, -8. -10, -8, 0, 2, 3, 59 Put -4, 11, -5, -22, -3 in decreasing order. 11, -3, -4, -5, -22 Put -843, 4, -5, -298 in ascending order. -843, -298, -5, 4 Sort -248, 0.5, -1, -2/7, -1/2 in ascending order. -248, -1, -1/2, -2/7, 0.5 Put 213, -2, -147 in descending order. 213, -2, -147 Put -254, 3, 2, 1 in increasing order. -254, 1, 2, 3 Put -2, -5/2, -2/47, -4.5, 2/5 in increasing order. -4.5, -5/2, -2, -2/47, 2/5 Put 4, 9, -3, -28, -18 in ascending order. -28, -18, -3, 4, 9 Sort -3, 1, -7405 in increasing order. -7405, -3, 1 Sort -5, 3878, 1, 9 in ascending order. -5, 1, 9, 3878 Sort 14, 0, -6, -24.1 in descending order. 14, 0, -6, -24.1 Put 3, 2131, 16 in ascending order. 3, 16, 2131 Sort 0.2, 0.4, 3/263, -0.045 in decreasing order. 0.4, 0.2, 3/263, -0.045 Sort -7, -5, 4, 7.225 in decreasing order. 7.225, 4, -5, -7 Put 2, 1/922, -0.1 in increasing order. -0.1, 1/922, 2 Sort 4, 1465, 3, -10 in decreasing order. 1465, 4, 3, -10 Sort -3, 4, -573698, 0 in ascending order. -573698, -3, 0, 4 Sort -4, 4, -4353 in increasing order. -4353, -4, 4 Sort -5, 2, 1724, -2, 0 in ascending order. -5, -2, 0, 2, 1724 Put 4/45, -0.3, 3, -74, 2/9, -0.2 in increasing order. -74, -0.3, -0.2, 4/45, 2/9, 3 Put 140.5, 2/13, 1/4, 4, -7, -4 in decreasing order. 140.5, 4, 1/4, 2/13, -4, -7 Sort -1/6, 357, -3 in ascending order. -3, -1/6, 357 Put 1, 2, 182 in descending order. 182, 2, 1 Sort -3, -8, -2, 44, 4 in descending order. 44, 4, -2, -3, -8 Put 7, -1/4, -339, 0 in decreasing order. 7, 0, -1/4, -339 Put -99/5, -0.4, 0.4, -0.7, -0.2 in ascending order. -99/5, -0.7, -0.4, -0.2, 0.4 Sort 7, -1, 4, 42, -4 in increasing order. -4, -1, 4, 7, 42 Sort 11, 2, -67738. -67738, 2, 11 Sort 2/9, -5, 0.11, -1/3, 0.054. -5, -1/3, 0.054, 0.11, 2/9 Sort 5, 3, -2, -3, -28, 6 in decreasing order. 6, 5, 3, -2, -3, -28 Sort -3, -1/5, -2.8, 3, 0 in descending order. 3, 0, -1/5, -2.8, -3 Sort 4, -1676, 50 in ascending order. -1676, 4, 50 Put -3, 5, 13, -32, 7, 6 in descending order. 13, 7, 6, 5, -3, -32 Sort -1, 21, 32, 7, 3 in ascending order. -1, 3, 7, 21, 32 Sort 2, -102, 0, -3, -4, -11 in ascending order. -102, -11, -4, -3, 0, 2 Sort 3, 3/14, -7, -2, 0.11, -3/7 in increasing order. -7, -2, -3/7, 0.11, 3/14, 3 Sort 0.5, 5, -205/7, -0.1 in descending order. 5, 0.5, -0.1, -205/7 Sort -39, 4, -5, 33 in decreasing order. 33, 4, -5, -39 Sort 112, 1, 43, 0. 0, 1, 43, 112 Sort 1, -1, 2, -36768 in ascending order. -36768, -1, 1, 2 Sort -5364, 7, 2. -5364, 2, 7 Put -42, 369, -2 in increasing order. -42, -2, 369 Sort -24/7, 0.4, 3, -1/736 in ascending order. -24/7, -1/736, 0.4, 3 Put 4, -758, -3, -12 in ascending order. -758, -12, -3, 4 Sort 1, 69, -81 in descending order. 69, 1, -81 Sort 3, -24, 0, -7, -3 in decreasing order. 3, 0, -3, -7, -24 Put 1/283, -2, 0.26 in increasing order. -2, 1/283, 0.26 Put -515, 1, -3, 27 in ascending order. -515, -3, 1, 27 Put 1193, 4, 1, -2, -3, 6 in descending order. 1193, 6, 4, 1, -2, -3 Put 3, -5, 5, 25, 3241 in decreasing order. 3241, 25, 5, 3, -5 Put -0.48, -3/883, 0.1 in ascending order. -0.48, -3/883, 0.1 Sort 0.5, 0.2, 0, -4/7, 5/2 in increasing order. -4/7, 0, 0.2, 0.5, 5/2 Sort 5, -64, -1.2, -5 in increasing order. -64, -5, -1.2, 5 Put 4, -0.3, 0, -33/17 in decreasing order. 4, 0, -0.3, -33/17 Sort -3, 48.3, -2/5, 2, 1 in decreasing order. 48.3, 2, 1, -2/5, -3 Sort -0.1, 2/3, -3, -20, 0.013, -5 in descending order. 2/3, 0.013, -0.1, -3, -5, -20 Sort -138, 1, -1, 189, 2 in decreasing order. 189, 2, 1, -1, -138 Sort 373, -3, -2, -0.4. -3, -2, -0.4, 373 Sort 3, 0.2, 1, -0.3, 0.4, 4/4175 in descending order. 3, 1, 0.4, 0.2, 4/4175, -0.3 Sort 0, -4, -12, -265, -2 in descending order. 0, -2, -4, -12, -265 Sort 8, -108/11, 4/7, -2, -0.4. -108/11, -2, -0.4, 4/7, 8 Sort -1/22, -5, -1, 1, -118.3, -3/2. -118.3, -5, -3/2, -1, -1/22, 1 Put -38, -127, -39 in descending order. -38, -39, -127 Put 4, -10, 2, -53, -1 in increasing order. -53, -10, -1, 2, 4 Put 23, 104146, 4 in ascending order. 4, 23, 104146 Sort 2/27, 4/7, -3/7, -116.2, -18. -116.2, -18, -3/7, 2/27, 4/7 Sort -5, 24682, 2, 3. -5, 2, 3, 24682 Sort 3, -2, -4, -3, 2632 in ascending order. -4, -3, -2, 3, 2632 Put 3, -1, -2/3, -6/149 in decreasing order. 3, -6/149, -2/3, -1 Put 3, -4, 42705 in decreasing order. 42705, 3, -4 Put 26, 5, 13, -323, -5 in decreasing order. 26, 13, 5, -5, -323 Sort -1, 4, -10937, -2. -10937, -2, -1, 4 Sort 227, 99, -1/5, 3, -0.1, -0.4 in descending order. 227, 99, 3, -0.1, -1/5, -0.4 Sort 1, -8141, -4, -2. -8141, -4, -2, 1 Put -26/23, -125, 0.2, -5 in increasing order. -125, -5, -26/23, 0.2 Put 3/4, 2, -2, 0, 271 in descending order. 271, 2, 3/4, 0, -2 Sort 3, -192, -1, -2, -5, 4. -192, -5, -2, -1, 3, 4 Sort -4, 21, 1, 47 in decreasing order. 47, 21, 1, -4 Sort -13, 2/35, 12/17 in descending order. 12/17, 2/35, -13 Put 0, -0.0654, -3 in descending order. 0, -0.0654, -3 Put 59, -1/2, 3/7, 0.2, -0.1, 5 in descending order. 59, 5, 3/7, 0.2, -0.1, -1/2 Sort -1/8, 8/19, -1/199 in descending order. 8/19, -1/199, -1/8 Sort 3, 19, -5, 1104 in increasing order. -5, 3, 19, 1104 Put 64, -2, 867 in descending order. 867, 64, -2 Put 2, -4, 0, -33, 14 in decreasing order. 14, 2, 0, -4, -33 Sort -17998, 2/3, -0.9 in ascending order. -17998, -0.9, 2/3 Sort -763, -1, -17, 9 in descending order. 9, -1, -17, -763 Sort 9039, -3, -0.2. -3, -0.2, 9039 Sort 152, -29, 1, -2, 4 in decreasing order. 152, 4, 1, -2, -29 Sort -2, 3, 2, 73, 39. -2, 2, 3, 39, 73 Put -3, 57, 4, -1, -15, 29 in decreasing order. 57, 29, 4, -1, -3, -15 Sort 9, -15, -505 in increasing order. -505, -15, 9 Sort 2, 0.2, -2/5, -4, 0, 873 in decreasing order. 873, 2, 0.2, 0, -2/5, -4 Sort -5, 29189, 0. -5, 0, 29189 Sort -2, 2, -7812, -4 in increasing order. -7812, -4, -2, 2 Sort 4, -1, 17233, -2. -2, -1, 4, 17233 Put -22, 3, 79, -4, 0 in descending order. 79, 3, 0, -4, -22 Sort -6/7, -417/4, -3, 0.3 in ascending order. -417/4, -3, -6/7, 0.3 Sort 0.4, -1, 1/147, -12, 8. -12, -1, 1/147, 0.4, 8 Sort -1, -4.8062, -3, 1, -1/2 in decreasing order. 1, -1/2, -1, -3, -4.8062 Sort 0.5, 45/67, 1/9, 0.2 in decreasing order. 45/67, 0.5, 0.2, 1/9 Put 0.02, -7, -1605 in ascending order. -1605, -7, 0.02 Sort 0.6, -87, -3, -1.3 in increasing order. -87, -3, -1.3, 0.6 Sort -158, 5, -379 in ascending order. -379, -158, 5 Sort -26, -54, -5, 39 in decreasing order. 39, -5, -26, -54 Put -1/2, -265, -194/5 in decreasing order. -1/2, -194/5, -265 Put 4, 102, 2, -4, -2 in increasing order. -4, -2, 2, 4, 102 Sort -1/6, 223/9, -6, 3/8. -6, -1/6, 3/8, 223/9 Put -0.02, 2, 1/3, -17 in decreasing order. 2, 1/3, -0.02, -17 Put 6, 8, 25, -4 in decreasing order. 25, 8, 6, -4 Put -2.61, -5, 3/2, 5, -3 in ascending order. -5, -3, -2.61, 3/2, 5 Put 7, 4, -4, -27, -7, 2 in decreasing order. 7, 4, 2, -4, -7, -
{ "pile_set_name": "DM Mathematics" }
6 and 0.1. -5.5036244844116 Add 0.3 and 102302826346. 102302826346.3 Work out 3.554247542 - -0.05. 3.604247542 Add together -117.8741443 and 99.7. -18.1741443 Calculate -260.2346961 - 2846. -3106.2346961 What is 0.03646 less than -652332220? -652332220.03646 Sum -1539 and 20071400. 20069861 Add together 0.2 and 207240636447558. 207240636447558.2 What is 33.15000704 less than -0.6? -33.75000704 What is -25249892768 - -0.145? -25249892767.855 -542445130561 + -7 -542445130568 What is 2 plus -86869036353? -86869036351 Total of 0.314323045 and -0.1801. 0.134223045 What is the distance between -0.1 and 143467716.41? 143467716.51 Work out -2.7 + 563046231.8. 563046229.1 Put together -41806 and -37817037. -37858843 -1017404695 - 14.2 -1017404709.2 Put together 0.0253 and -66475262029. -66475262028.9747 What is -17.31362249 - -5.1? -12.21362249 Work out 32.76 + -0.02406897331. 32.73593102669 What is the distance between -9922.02217 and -57? 9865.02217 Work out -54429 - 0.04807443. -54429.04807443 What is -518555480 minus -281? -518555199 8204 - -0.761592051 8204.761592051 Work out -1071978.9403 + -275. -1072253.9403 Subtract -452 from -445373060. -445372608 Work out -1106 + -239384.184. -240490.184 Add 2094.2676 and 695452. 697546.2676 Subtract -536748192 from -19409.06. 536728782.94 -0.01 - 0.031977524422329 -0.041977524422329 Put together 1.5 and -149.1143327131. -147.6143327131 Add 7600096680007.3 and 0.5. 7600096680007.8 Put together -3250365780 and 0.002872. -3250365779.997128 What is 186679239 less than 73491? -186605748 What is -196151 plus -306452129? -306648280 What is the difference between 17.0804373854 and 18? 0.9195626146 What is -282391.5856 + 31? -282360.5856 Total of 150169 and 90141317. 90291486 What is -33895820361 less than 0.15? 33895820361.15 What is the difference between -86 and -237.118759763? 151.118759763 What is -1115086 - -143258? -971828 Calculate 34236364 - -97060. 34333424 Add 1.141895295776 and -0.4. 0.741895295776 What is the difference between 0.0499446246 and 0.132421? 0.0824763754 Calculate 219 - 4823757.738. -4823538.738 20.3889251434+3 23.3889251434 What is 0.264128424114 + -2? -1.735871575886 Sum -15 and -290761355383. -290761355398 What is -5 minus -117685625.5? 117685620.5 What is the distance between 5.856 and -0.92039446? 6.77639446 58829257 + -16169510 42659747 Calculate 973856 - 22.62048. 973833.37952 What is -402898527379 minus 0? -402898527379 What is the distance between -0.3 and 18077617366? 18077617366.3 Work out -206083485720 - -353. -206083485367 What is -78154767.518 - 10? -78154777.518 -9383151851 + 3651 -9383148200 What is 5.306874141 + -2? 3.306874141 What is 591786492 take away 3.2? 591786488.8 What is the distance between 123044 and 26.6546? 123017.3454 Calculate -0.094 + -462659501. -462659501.094 What is -0.5 plus 1633156874402? 1633156874401.5 What is 970186423750650 + 0.5? 970186423750650.5 236.33206 - 0.13819 236.19387 Work out -0.505338045 - 1084.3. -1084.805338045 Put together -0.1743664 and 248752. 248751.8256336 What is the distance between -662541 and 1956718? 2619259 What is -1.1231 take away -55.442092? 54.318992 What is -1172325 minus 67228.2? -1239553.2 -4147944.0701 - 0.7 -4147944.7701 Add -933.9140656 and -1.964. -935.8780656 Calculate -35366181459 + 2.8. -35366181456.2 Calculate -2804985765 - -5. -2804985760 What is 20721446.9392 minus 50? 20721396.9392 What is -6507 plus 12016.784607? 5509.784607 What is -134034814211 minus -18? -134034814193 Add 0.5 and -2764323.941486. -2764323.441486 Put together 103058567 and -135781. 102922786 What is -1.9 take away 9640307343? -9640307344.9 Total of -6468956.87851818 and 3. -6468953.87851818 What is the distance between 4 and -33233788.68345? 33233792.68345 What is -40576.414659 take away -4? -40572.414659 What is the distance between -9301 and 12884.5282? 22185.5282 Add together 1.4249357 and -1392. -1390.5750643 Add together -221764290 and 17.3726. -221764272.6274 What is the distance between -13633 and -81405194? 81391561 Total of -745.4202 and 7990.5379. 7245.1177 -173135977 + 14163 -173121814 -5731+-286976675 -286982406 What is 7386 - 3514860984? -3514853598 What is -9951839.639036 take away -2? -9951837.639036 -10.2569 - 0.361552224 -10.618452224 5.2823+-467055 -467049.7177 What is -39.368992524 - 8? -47.368992524 What is -149618062.1 less than -5578.3? 149612483.8 What is the distance between -0.2365 and 10796925237? 10796925237.2365 Put together -37.46183325 and 2.6236. -34.83823325 What is the distance between 0.03 and -394620.869? 394620.899 Work out -2 - -196.3468316676. 194.3468316676 Total of 85762399.103603 and 0. 85762399.103603 Sum 5 and 102019889795923. 102019889795928 What is the difference between -9339 and -11694715578? 11694706239 Calculate -1.8 + -11641458942. -11641458943.8 What is 3.9544583 less than 3685? 3681.0455417 What is -10 plus -0.133738625647? -10.133738625647 What is 1071121696235 plus -0.1? 1071121696234.9 What is -13.6871534864 + -0.3? -13.9871534864 What is 137.82447 + -0.19439? 137.63008 What is 137187047 less than 56895? -137130152 Total of 1090033477540 and -1.6. 1090033477538.4 What is -240674882.4871 + -0.07? -240674882.5571 What is -4 plus -14978367530? -14978367534 What is 10179.351 + 3645? 13824.351 Sum -3392.1 and -0.350530949. -3392.450530949 What is 1667 minus 33380.585? -31713.585 What is 1.02657815 less than 0.79489? -0.23168815 Put together -188748435780 and 14. -188748435766 Put together 7577620525891 and 0.007. 7577620525891.007 Add together 0.2008 and 17694534442. 17694534442.2008 -0.68 - 0.640929017 -1.320929017 Calculate -2645706890.28 - -0.1. -2645706890.18 13593022+2.5368 13593024.5368 What is 8589800506 - -0.025? 8589800506.025 Calculate 5837.8859772 + 0.02. 5837.9059772 What is 102451 plus -45522404? -45419953 Sum -12.69 and 27800886567. 27800886554.31 10467357892+136155 10467494047 What is the distance between -0.0476851306234 and -1? 0.9523148693766 Add 1233.4694231993 and 0.5. 1233.9694231993 What is the difference between -27 and 893637931? 893637958 -0.26 + 155745428188 155745428187.74 4+500883738874 500883738878 Put together 27.7 and -388693304739. -388693304711.3 Work out 21325 + 0.03130058. 21325.03130058 Calculate -1097661350 + 45945. -1097615405 Sum 35093802111 and 0. 35093802111 Work out 49.03 - -238914.15. 238963.18 -4765.341562 - -4041 -724.341562 54020 + 5.32717 54025.32717 Total of -4.6184 and -403375178. -403375182.6184 What is -0.01457 less than -29711740911? -29711740910.98543 What is the difference between 5202.944 and -0.16658? 5203.11058 Total of 13119751864 and 14. 13119751878 What is -0.6063 take away -3081869224? 3081869223.3937 Sum 791380824 and 131829. 791512653 What is 43986037 - -23.722? 43986060.722 Subtract 142082540.5 from -0.082. -142082540.582 What is -0.0259 less than 7169.605378? 7169.631278 -58536232 + -1309324 -59845556 5+-21029469589398 -21029469589393 -226814.7 + 90.089772 -226724.610228 What is 1073673.3341 + -34? 1073639.3341 Work out -139222963 - -0.084906. -139222962.915094 What is 2 less than 741434638.53811? 741434636.53811 Add together 120034 and 3776.6. 123810.6 146385603 - 937 146384666 0 - 308161138183 -308161138183 Calculate 0.5 + -37331639.6484. -37331639.1484 What is -33384701574527 take away -4? -33384701574523 What is 1.1 minus 190483919900? -190483919898.9 4816999273.1 - -17 4816999290.1 Work out 0.695 + 2268.0138. 2268.7088 What is 2340.15392678 + -3? 2337.15392678 Put together -47504073263 and -0.27. -47504073263.27 What is the distance between 14736096978.771 and -3? 14736096981.771 Add 40424711547 and -0.4. 40424711546.6 What is -32033.94629 - -0.17? -32033.77629 Sum -0.2 and -12.11628628954. -12.31628628954 What is the difference between 0.05188 and 233.09168919? 233.03980919 Add -0.4997684 and -5112207. -5112207.4997684 What is 2.76884 take away -1625.0041? 1627.77294 Sum -5 and -62387342738. -62387342743 What is 284274.7222 take away -12201? 296475.7222 What is -10898.308868 + -2? -10900.308868 Subtract 4 from 0.237922013864. -3.762077986136 2.163766 + 15718 15720.163766 Work out -0.2 - -17700649285.7. 17700649285.5 What is 0.222 plus 5.3462478? 5.5682478 What is -744564521 - 0.2268? -744564521.2268 Add 36337.8484
{ "pile_set_name": "DM Mathematics" }
he c'th term of 191, 380, 569, 758, 947? 189*c + 2 What is the v'th term of 1404, 1417, 1438, 1467, 1504? 4*v**2 + v + 1399 What is the u'th term of 133, 161, 205, 265, 341? 8*u**2 + 4*u + 121 What is the a'th term of -414, -415, -416? -a - 413 What is the b'th term of 4, 1, 6, 31, 88, 189, 346, 571? 2*b**3 - 8*b**2 + 7*b + 3 What is the p'th term of 22, 62, 104, 148, 194, 242, 292? p**2 + 37*p - 16 What is the s'th term of 546, 1097, 1650, 2205? s**2 + 548*s - 3 What is the p'th term of -8136, -8131, -8124, -8115, -8104? p**2 + 2*p - 8139 What is the i'th term of -31, -69, -107, -145, -183, -221? -38*i + 7 What is the m'th term of 265, 235, 205, 175, 145? -30*m + 295 What is the h'th term of -177, -161, -131, -81, -5, 103, 249, 439? h**3 + h**2 + 6*h - 185 What is the q'th term of 1973, 1971, 1967, 1961, 1953? -q**2 + q + 1973 What is the q'th term of 20, 43, 66, 89? 23*q - 3 What is the q'th term of -321, -320, -319, -318? q - 322 What is the x'th term of 4, 16, 32, 46, 52, 44? -x**3 + 8*x**2 - 5*x + 2 What is the x'th term of 55, 137, 245, 373, 515, 665, 817, 965? -x**3 + 19*x**2 + 32*x + 5 What is the s'th term of 636, 1250, 1864, 2478, 3092, 3706? 614*s + 22 What is the z'th term of -598, -593, -588? 5*z - 603 What is the f'th term of 101, 130, 207, 356, 601? 4*f**3 + f + 96 What is the q'th term of 1813, 1814, 1815, 1816, 1817? q + 1812 What is the y'th term of -90, -86, -78, -66? 2*y**2 - 2*y - 90 What is the k'th term of -311, -1185, -2641, -4679, -7299? -291*k**2 - k - 19 What is the v'th term of 0, 4, 8, 12? 4*v - 4 What is the y'th term of 135, 535, 1203, 2139, 3343, 4815, 6555? 134*y**2 - 2*y + 3 What is the j'th term of 75, 115, 155, 195, 235? 40*j + 35 What is the u'th term of -831, -1659, -2475, -3273, -4047? u**3 - 835*u + 3 What is the b'th term of 95, 90, 93, 110, 147, 210? b**3 - 2*b**2 - 6*b + 102 What is the g'th term of 45, 82, 119, 156, 193, 230? 37*g + 8 What is the g'th term of -491, -502, -513, -524? -11*g - 480 What is the a'th term of 8, 14, 24, 38? 2*a**2 + 6 What is the i'th term of 577, 1106, 1635? 529*i + 48 What is the s'th term of -21, -24, 19, 132, 339, 664? 4*s**3 - s**2 - 28*s + 4 What is the h'th term of 4, -21, -72, -155, -276, -441? -h**3 - 7*h**2 + 3*h + 9 What is the n'th term of 30, 63, 104, 153, 210, 275? 4*n**2 + 21*n + 5 What is the t'th term of -83, -163, -243? -80*t - 3 What is the k'th term of 10, 32, 54, 76, 98? 22*k - 12 What is the m'th term of 20, 81, 180, 317? 19*m**2 + 4*m - 3 What is the c'th term of 303, 629, 953, 1275, 1595, 1913, 2229? -c**2 + 329*c - 25 What is the l'th term of 163, 344, 525, 706? 181*l - 18 What is the k'th term of -30, -59, -90, -129, -182? -k**3 + 5*k**2 - 37*k + 3 What is the z'th term of -568, -2279, -5126, -9103, -14204? z**3 - 574*z**2 + 4*z + 1 What is the h'th term of 128, 134, 138, 140, 140, 138, 134? -h**2 + 9*h + 120 What is the r'th term of 46, 91, 160, 247, 346, 451, 556, 655? -r**3 + 18*r**2 - 2*r + 31 What is the j'th term of 28, 40, 40, 22, -20, -92? -j**3 + 19*j + 10 What is the g'th term of -27, -69, -135, -225? -12*g**2 - 6*g - 9 What is the w'th term of -23, -47, -71, -95, -119, -143? -24*w + 1 What is the b'th term of 94, 408, 932, 1666, 2610? 105*b**2 - b - 10 What is the s'th term of -544, -543, -542, -541, -540? s - 545 What is the d'th term of 41, 5, -35, -79, -127, -179? -2*d**2 - 30*d + 73 What is the k'th term of -26, 48, 188, 406, 714, 1124, 1648, 2298? 2*k**3 + 21*k**2 - 3*k - 46 What is the j'th term of -31882, -31886, -31892, -31900? -j**2 - j - 31880 What is the q'th term of -36, -50, -64, -78, -92, -106? -14*q - 22 What is the h'th term of 30, 89, 156, 237, 338, 465, 624, 821? h**3 - 2*h**2 + 58*h - 27 What is the h'th term of -10, -29, -48? -19*h + 9 What is the p'th term of -8, -9, -18, -35, -60? -4*p**2 + 11*p - 15 What is the h'th term of -28, -54, -80, -106, -132, -158? -26*h - 2 What is the n'th term of 55, 53, 43, 19, -25, -95, -197? -n**3 + 2*n**2 - n + 55 What is the n'th term of -31, -25, -19, -13, -7, -1? 6*n - 37 What is the r'th term of -224, -936, -2122, -3782, -5916? -237*r**2 - r + 14 What is the c'th term of -2, 3, 16, 43, 90, 163? c**3 - 2*c**2 + 4*c - 5 What is the q'th term of 261, 526, 793, 1062, 1333? q**2 + 262*q - 2 What is the k'th term of 9, 52, 137, 270, 457, 704, 1017? k**3 + 15*k**2 - 9*k + 2 What is the n'th term of -94, -191, -288, -385, -482, -579? -97*n + 3 What is the t'th term of -83, -77, -69, -59, -47, -33, -17? t**2 + 3*t - 87 What is the u'th term of -2162, -2163, -2164, -2165, -2166? -u - 2161 What is the t'th term of -139, -147, -155, -163, -171, -179? -8*t - 131 What is the q'th term of -2, -28, -72, -134, -214? -9*q**2 + q + 6 What is the y'th term of -1439, -1440, -1441? -y - 1438 What is the d'th term of 67, 168, 337, 574, 879? 34*d**2 - d + 34 What is the f'th term of -1021, -1023, -1023, -1021? f**2 - 5*f - 1017 What is the a'th term of 2854, 2857, 2860, 2863, 2866, 2869? 3*a + 2851 What is the b'th term of -93, -172, -237, -288, -325? 7*b**2 - 100*b What is the o'th term of -143, -154, -167, -182? -o**2 - 8*o - 134 What is the l'th term of 65, 263, 601, 1085, 1721, 2515, 3473, 4601? l**3 + 64*l**2 - l + 1 What is the c'th term of -49, -85, -121, -157, -193? -36*c - 13 What is the t'th term of 16, 17, 18, 19? t + 15 What is the c'th term of -277, -555, -833, -1111? -278*c + 1 What is the g'th term of 125, 262, 399? 137*g - 12 What is the f'th term of 38, 45, 52? 7*f + 31 What is the t'th term of 54, 192, 428, 768, 1218? t**3 + 43*t**2 + 2*t + 8 What is the o'th term of -34, -43, -50, -61, -82, -119? -o**3 + 7*o**2 - 23*o - 17 What is the l'th term of 2055, 4106, 6157? 2051*l + 4 What is the o'th term of -437, -436, -435, -434, -433, -432? o - 438 What is the b'th term of -1110, -1105, -1098, -1089, -1078? b**2 + 2*b - 1113 What is the i'th term of -24, -45, -102, -213, -396, -669? -3*i**3 - 21 What is the k'th term of -47, -94, -141, -188, -235? -47*k What is the d'th term of -226, -423, -620, -817? -197*d - 29 What is the k'th term of 20080, 20079, 20078, 20077, 20076, 20075? -k + 20081 What is the g'th term of 14, 29, 44, 59, 74, 89? 15*g - 1 What is the f'th term of -28, 2, 46, 98, 152? -f**3 + 13*f**2 - 2*f - 38 What is the d'th term of 87, 171, 243, 297, 327? -d**3 + 91*d - 3 What is the v'th term of 16527, 16526, 16525, 16524, 16523? -v + 16528 What is the l'th term of -50, -108, -168, -230, -294, -360? -l**2 - 55*l + 6 What is the u'th term of 14, 38, 62, 86, 110, 134? 24*u - 10 What is the m'th term of 1, -18, -37, -56? -19*m + 20 What is the m'th term of -69, -269, -599, -1059, -1649, -2369, -3219? -65*m**2 - 5*m + 1 What is the r'th term of 156, 312, 468? 156*r What is the t'th term of -2, -8, -38, -104, -218, -392, -638, -968? -2*t**3 + 8*t - 8 What is the g'th term of 5, 0, -1, 8, 33, 80, 155? g**3 - 4*g**2 + 8 What is the m'th term of 69, 69, 59, 33, -15, -91? -m**3 + m**2 + 4*m + 65 What is the i'th term of 566, 1132, 1696, 2258, 2818, 3376, 3932? -i**2 + 569*i - 2 What is the j'th term of -135, -134, -133, -132, -131? j - 136 What is the u'th term of -18, -59, -128, -225, -350, -503? -14*u**2 + u - 5 What is the u'th term of 85, 371, 855, 1537? 99*u**2 - 11*u - 3 What is the s'th term of -79, -87, -101, -121, -147, -179, -217? -3*s**2 + s - 77 What is the r'th term of -146, -294, -442, -590, -738? -148*r + 2 What is the o'th term of -18701, -37415, -56139, -74879, -93641, -112431? -o**3 + o**2 - 18710*o + 9 What is the x'th term of 2, -9, -36, -79, -138? -8*x**2 + 13*x - 3 What is the q'th term of -242, -511, -806, -1127, -1474, -1847, -2246? -13*q**2 - 230*q + 1 What is the f'th term of -5748, -5743, -5738, -5733, -5728, -5723? 5*f - 5753 What is the w'th term of 170, 161, 150, 137, 122? -w**2 - 6*w + 177 What is the r'th term of -9, 28, 75, 138, 223? r**3 - r**2 + 33*r - 42 What is the p'th term of -53, -104, -157, -212, -269? -p**2 - 48*p - 4 What is the v'th term of 1054, 1055, 1056, 1057? v + 1053 What is the i'th term of -193, -761, -1709, -3037? -190*i**2 + 2*i - 5 What is the t'th term of 13, 36, 55, 70? -2*t**2 + 29*t - 14 What is the w'th term of 24, 31, 52, 93, 160? w**3 + w**2 - 3*w + 25 What is the x'th term of 3069, 6132, 9195? 3063*x + 6 What is the o't
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
c Let g = 1 + -19. Let u = 2.8663 - -0.1337. What is the fourth biggest value in u, -3, 3/4, g? g Let n = -26/1813 - 1501/21756. What is the fourth smallest value in n, -12, -3, -0.15, 0.4? n Let o be (57/(-209))/(7 + 2328/(-330)). Let h = 1.5 + -2. Let y = 1 + h. Which is the second biggest value? (a) o (b) -1/7 (c) 2 (d) y c Let p = -2661/5 - -18642/35. Which is the fifth biggest value? (a) -0.1 (b) p (c) -11 (d) 1 (e) -8 c Suppose 0 = -3*d + 6*d. Let f(l) = -2*l + 15. Let s be f(7). Let u be (-412)/(-309) - (s - 1). Which is the third biggest value? (a) u (b) 2/19 (c) d c Suppose -4*v - k = -117, k = v - 735 + 702. Let f = 8 - 8.6. Which is the second smallest value? (a) -2 (b) 2 (c) v (d) f d Let s = -232.1 + 3.1. Let z = s - -225. Suppose 0 = 3*i + h + 7, i + 5*h = 2*h - 13. Which is the third biggest value? (a) z (b) i (c) -0.5 a Let l = -19 - -18.9. Let j = 138.76 + -0.76. Let k = -137.94 + j. Which is the biggest value? (a) 5 (b) k (c) 1 (d) l a Suppose 11*t - 3032 + 810 = 0. Let z = t + -205. What is the second biggest value in z, 1/77, 0, 0.1? 1/77 Let m = 2.006 + -91.306. Let r = m - -89. Let a = -172.89 + 173. What is the smallest value in a, -0.4, r? -0.4 Let r = -5958 + 5955. Let x = 1.08 - 0.08. Which is the fourth biggest value? (a) -36 (b) x (c) -0.2 (d) r a Let w = -14418 + 14415. Which is the third smallest value? (a) 8 (b) w (c) -0.34 a Let o = -304 + 244.9. Let x = -99 - -41. Let d = x - o. What is the second biggest value in d, 2/3, -0.4, 0.4? 2/3 Let p be (1/(-27))/(3/(282024/(-8))). Let o = p - 435. What is the smallest value in -1/3, o, 11? -1/3 Let s = -13 + 145/11. Let f = 0.02 - -1.98. Let x = -909 - -5453/6. Which is the second smallest value? (a) f (b) x (c) s (d) -2/23 d Let y = -13.1 + -78.9. Let r = y - -135. Let s = r + -40. Which is the second smallest value? (a) -1/3 (b) -4 (c) s a Let j = -2835.7 + 2836. Which is the biggest value? (a) 8/13 (b) j (c) -2/11 a Suppose 3*j + 8 = -1. Let m = 98 + -395/4. Let q = -236 + 236.7. Which is the biggest value? (a) m (b) q (c) j b Let d = 1205/7 + -173. Let j = d - -5/14. What is the second biggest value in j, -7.5, -2/3? -2/3 Let h = -3665/1554 + -79/222. What is the third biggest value in 1/5, h, -2/13, -0.2? -0.2 Let n = -94.3 + 213.3. Which is the smallest value? (a) 0.3 (b) -2/15 (c) n b Let z = -5 + 2. Let y be (-34)/2 + (-2 - -6) + -2. Let k be ((y/25)/(-3))/(2/(-5)). Which is the fourth biggest value? (a) 0.3 (b) 0 (c) k (d) z d Let n = 1667/8696 + -23318953/55958760. Let l = n - -2/715. Let g = -329/6 - -55. Which is the third smallest value? (a) l (b) g (c) 5 (d) -0.04 b Let c = -0.9927 + 2.9927. What is the fourth smallest value in 4/13, 0.4, c, 0.04? c Let d = 0.2 - 0.5. Let f = 35.093 - 34.503. Which is the second smallest value? (a) d (b) 4 (c) f c Let s = -0.66 - -6.46. Let y = s - 1.8. Let t = -0.14 + 0.04. Which is the third biggest value? (a) -2 (b) 0.4 (c) y (d) t d Let l = 257/4 - 64. Let o = -11/3 - -4. Let k = -0.694 + -3.306. What is the second biggest value in k, l, o? l Let w = -4914 - -4920. Which is the biggest value? (a) -4 (b) w (c) -3 (d) -2 (e) 3/16 b Let o = 12873 - 12873.3. Which is the smallest value? (a) 2 (b) -0.8 (c) -5 (d) 1.5 (e) o c Let z(y) = -49*y + 5963. Let n be z(118). What is the second smallest value in -3/5, n, -0.4? -0.4 Let m = 4.568 + 2.232. What is the second biggest value in m, -2/3, 4, -0.2, -4? 4 Suppose 870*k - 883*k - 13 = 0. What is the third smallest value in -1170, k, -4/5? -4/5 Let g = 38/5 - 8. Let i = -940.2094 + -2.0906. Let u = i + 942. Which is the second smallest value? (a) 0.3 (b) g (c) -4 (d) u b Let y = -2 - -2. Suppose -208*o = 199*o - 455*o - 240. Which is the third smallest value? (a) o (b) 0.1 (c) 2/13 (d) y b Let f = 542 - 541.8. Let u = -112.4 - -63.3. Let j = u + 43. What is the third smallest value in j, 5, f? 5 Suppose 79*h + 4 = 77*h, 0 = -a + h - 1. Let d = 286.2 - 286. What is the smallest value in d, a, -1.7, 3/2? a Let z = -764 - -760. Let h = 34/9 + -179/45. What is the smallest value in -0.6, z, h? z Let q = 17.7 - 7. Let o = 12.7 - q. Which is the second biggest value? (a) o (b) -1/3 (c) 53 a Let h = 3.94 - -0.06. Let w = 6168 + -6171. Let y = 67.5 + -67. Which is the fourth biggest value? (a) h (b) y (c) -0.3 (d) w d Let u = -0.09 - 0.01. Let z = -67 + 68.15. Let d = 4.15 - z. Which is the third biggest value? (a) d (b) u (c) 5 b Let d = -0.27 - -276.27. Let k = d + -277. What is the biggest value in 1/3, k, 3, -2/5? 3 Let x = -2.654 + 2.954. Which is the third smallest value? (a) -0.052 (b) x (c) 1/4 (d) -3/7 (e) 0.2 e Let g = -11872 + 11649. Which is the smallest value? (a) -3/7 (b) g (c) 3 (d) -0.1 (e) -8 b Let w = 9351/1462 + -223/34. Which is the biggest value? (a) -1/3 (b) 5 (c) w b Let d = -0.098 + 9.098. Which is the third biggest value? (a) d (b) -156 (c) -1 b Let x = -503/6 + 1507/18. Which is the smallest value? (a) x (b) -8.4 (c) -3/2 (d) 0.3 b Let m = 685.2014 + -684. Let v = m + -0.1014. Let w = 0.2 + 0. What is the fourth biggest value in w, -0.1, -1/4, v? -1/4 Let r = 458 + -460. Which is the third biggest value? (a) -0.2 (b) r (c) 33.2 b Let o = 2094 - 2092. What is the third biggest value in -2, o, 131? -2 Let k = -9476513/379 - -25004. Which is the fourth smallest value? (a) 3/5 (b) -5 (c) k (d) -1 (e) 4/5 a Let l = 4 + 12. Let b = 41720 - 41724. What is the third biggest value in b, 5, l? b Let q = -871/2065 + -2/295. Which is the biggest value? (a) 4 (b) -2/17 (c) -1.6 (d) q a Let s = -4841.9 + 4842. Which is the second biggest value? (a) -2/11 (b) s (c) 3.45 b Suppose -13*s = -9*s + 8. Let j = -154 - -154. Which is the third smallest value? (a) -5 (b) j (c) s b Let t = 172280/7 + -24611. What is the third biggest value in 1, 1/2, 4, t? 1/2 Let f = -25051 - -25053. Which is the smallest value? (a) -317.1 (b) f (c) 0 a Let q = 377/46 + 3653/138. Which is the smallest value? (a) -20 (b) -4 (c) q (d) 5 a Let j(d) = -3*d**2 - d + 21. Let f be j(-3). Let i = -0.23 - 0.07. What is the second biggest value in f, i, -5? f Let n = -0.116 - -0.016. What is the fourth smallest value in 3, -3/5, n, -5? 3 Suppose -4*g = -6*g. Let c = 65524 - 65534. What is the fourth smallest value in g, 1, c, 4? 4 Let x = -1795.1 + 1795. Which is the biggest value? (a) x (b) 57 (c) 3 b Let y = 968 + -969. Which is the smallest value? (a) 288 (b) -2 (c) y b Let r be (-19 - -2)/(-1 + 2). Let s = -12 - r. Let g be ((-2)/8)/((-73)/(-876)). What is the third smallest value in -7/5, s, g? s Suppose 1 = 9*g + 1. Let p = -5.9 + -4.1. What is the second smallest value in 0.5, p, g? g Let p = 9774 - 9792. What is the biggest value in -1, -10, -0.2, 0, p? 0 Let d be ((-2)/(-7))/(18/42). Let l(o) = o**3 + 2*o**2 - 5*o + 9. Let h be l(-4). Let i = -377 - -380. What is the fourth biggest value in i, d, 2/5, h? h Suppose -5*g = 4 - 19. Let h = -362 - -351. Let d be (h/55)/(1/(-5)). Which is the third smallest value? (a) g (b) -1 (c) d a Let g = 977 - 1955/2. What is the third smallest value in g, 0.1, 2/7? 2/7 Let f = -209652/5 + 41930. Let z = -0.16 - 2.84. What is the fourth biggest value in f, 5, z, 1/11? z Let u = -0.3163 + 0.3163. Let t = 0.8 - 0.85. Let p = -4.95 + t. Which is the fourth biggest value? (a) -1/5 (b) p (c) u (d) -3 b Let k = 441756.95051 - 441752. Let q = k + 0.03649. Let z = q - -0.013. What is the third biggest value in z, -1/3, 1, -4? -1/3 Let k = 16 + -15.93. Let z = 0.347 - -1.867. Let p = z + -0.214. Which is the fourth smallest value? (a) -4 (b) p (c) -1 (d) k b Let x = 10.5008 - 0.1908. Let w = -1.31 + x. Let r = -3 + 5. What is the third biggest value in w, r, -2, -5? -2 Let h = -7/2134 + 8585/14938. Which is the fourth smallest value? (a) 2/7 (b) h (c) -1 (d) -0.7 (e) 1/7 a Let o = 1/2882 + 3601/4323. What is the third smallest value in -37, -9, 1/6, o? 1/6 Let f(i) = -i**2 - 3*i + 150. Let z be f(-14). What is the fourth biggest value in z, -11, 5, 0.6? -11 Suppose 0 = -2*o + 1107 - 961. Let z be -1 + 7 + o/(-10) - -1. Which is the second biggest value? (a) -3 (b) 4 (c) z c Let j = 0.711 - -61.589. Let d = -62 +
{ "pile_set_name": "DM Mathematics" }
-z - 0, 4*o = f + j for o. 1 Let o = 4 + -6. Let u be 31 + (-1 - 0) + o. Suppose 3*q - 5 = 5*a - u, a + 2*q = 2. Solve 14 = -k + a*v, 4*v - 1 = 15 for k. 2 Suppose -2*d - 26 = -4*z, -d = -z - 2*d - 1. Solve -s = a - 1 + 4, z*s + 3*a + 12 = 0 for s. -3 Suppose 5*z = 11 + 9. Solve -5*l + w = 5, 0 = z*l + w - 1 + 5 for l. -1 Let v be 2/(-4) + 75/30. Solve -6*y = -3*y - v*w - 11, -4*y = 3*w - 9 for y. 3 Let r = 36 - 21. Solve 0 = h + 4*x - r, x = 2*h - x for h. 3 Let m = -5 - -7. Let t(r) = -r**2 - 4*r. Let k be t(-3). Solve -y - m*o + 6*o = -16, -k*o - 9 = 0 for y. 4 Suppose 0 = -5*w + 15, -w + 3 = 4*u - 2*u. Let l = 1 + u. Solve 4*b = -3*p, 4*b + l = -11 for p. 4 Suppose 3 = 2*l + 1. Suppose 3*w + 2 = -l. Let c = w + 1. Solve u + 4*u = -4*r - 5, 3*u - 4*r - 29 = c for u. 3 Suppose 0 = 3*q - 3*f, q - 2*f + 6 = 3. Suppose 0 = k + q*k - 20. Solve -8 + 23 = -3*n + 3*y, -3*n = -k*y + 25 for n. 0 Let w = -7 + 7. Suppose 3*z - 2*p - 18 = 0, -5*p + 15 = -w. Let y be 1 - -7*3/3. Solve f = 3*c + y, -z - 12 = -4*f for c. -1 Suppose -2*f + 5 = -f. Suppose f = -5*g + 35. Solve 25 = 5*k, -3*k + 9 = -3*s + g*s for s. -2 Let g = 105 + -101. Solve -5*k + 2*b = -9, -g*k - 4*b = -0*k - 24 for k. 3 Suppose -d + 6*d = 10. Suppose 3 = -h + d*h. Solve 3*b + 18 = -h*f + f, 20 = -5*b for f. -3 Let f(g) = 22*g. Let m be f(1). Suppose -m = -2*t + 2*c + 2*c, -5*t + 71 = -2*c. Solve -7*a = -3*a + 5*j + 45, -t = 2*a + j for a. -5 Let v = 9 - 9. Suppose -5*q - 5 + 15 = v. Solve s - 3*x = -13, s - x = -q*x + 3 for s. -1 Let x be 2/(-8) + (-15)/20. Let q be (-3)/x*5/15. Solve -o - r + 4 = q, -21 = -3*o + 3*r for o. 5 Suppose -4*c + 240 = c. Let i = 76 - c. Solve 4*g = -g + 4*r + 36, 0 = 2*g - 5*r - i for g. 4 Let d = 36 - 20. Solve 5*q + y + 12 = -y, q = 3*y - d for q. -4 Let x(u) = u + 13. Let f be x(-10). Solve 5*y + 7 = -c + 4*c, f*c - 3*y - 3 = 0 for c. -1 Suppose 0*z + 4 = 2*z. Solve w - 4*y + 10 = -w, 13 = -z*w + 5*y for w. 1 Suppose -3*h = -3*y - 2*y + 9, -3*y - 5*h + 19 = 0. Suppose -28 = -3*p + p. Solve v - p = 5*t - 2, y*v - 4*t = 3 for v. -3 Let d = -10 - -5. Let o(g) = -g**2 - 5*g + 5. Let j be o(d). Solve 25 = 5*t - j*u, 5*u = -t - 2*t - 9 for t. 2 Let d be ((-11)/33)/(1/(-6)). Suppose 5*h = 5 + 15. Solve -h = 3*w + 3*f + f, -w - d*f = 0 for w. -4 Let y = -3 - -3. Suppose -10 = -5*u - y. Solve 5*v - 15 = 0, -3*v + 6 = h + u*h for h. -1 Let m(t) = -t**2 - 10*t + 30. Let a be m(-12). Solve -5*z - 3*q = -23 - a, 23 = 5*z + q for z. 4 Let i(m) = m**3 + 11*m**2 + 10*m + 6. Let x be i(-10). Solve -3*u - x = 3*p - 4*p, 6 = -p - u for p. -3 Suppose -2*p = 3*p - 60. Solve 3*t = -2*k + 9, 0*k + k = -3*t + p for t. 5 Suppose -k = -2*k + 1. Let t be 74/5 + k/5. Solve 0 = 4*p + 5*q + 25, -p + t = -5*p - 3*q for p. 0 Suppose 2*f - 21 = f - 4*p, 0 = 5*f - 3*p - 13. Solve l - 4*l + 3*u = 18, 2 = 2*l + f*u for l. -4 Let h(d) = 24*d**2 - 1. Let a be h(1). Let c = a + -18. Suppose -2*t - 10 = 0, 2*t + 25 = 5*x - 0*t. Solve 3*l = -x*i - 9, i = -i - c*l for i. -5 Suppose -7*f + 3*f - 4*l - 4 = 0, l = -2. Let w be 2 - 0/(3 + f). Solve w*o - 3*q = 7, -5*o = 5*q - 28 - 2 for o. 5 Let v be -18*6/8*4/(-6). Solve 10 = -3*t - 2*t, -3*t = f + v for f. -3 Let s = -35 + 113. Suppose 2*v = 5*v + s. Let a = v + 38. Solve -b + 1 = -2*t - 3, -2*t = 3*b + a for b. -2 Let w = 14 + -9. Let p = -212 + 214. Solve f = -i + w, -5*f + p*i - 2 + 6 = 0 for f. 2 Let w be 1/6 + (-105)/(-18). Let o = -7 - -16. Let q = o - 6. Solve 4*l - 3*d - 3 = -0, 0 = -q*l + 3*d + w for l. -3 Let n(d) = d. Let b be n(2). Solve -3*s + 4*q = -9 - b, -2*s + 4 = -2*q for s. -3 Let l(g) = -g**2 - 8*g + 24. Let b be l(-10). Solve 3*x - 20 = 5*w - 2*x, x - 4 = b*w for w. 0 Let b(u) = -8*u**3 + u**2 + u - 1. Let t be b(-2). Let y = 97 - t. Solve -3*r = -z + 15, -5*r + 7 - y = 2*z for z. 0 Let d = 9 - 7. Let f = -6 - -10. Suppose g - 1 = q - 3, -d*g = f*q - 14. Solve -6 = -q*l + 3*p, -l + 6 = -5*p + 4 for l. 2 Let j be (-2 - 21/(-3)) + -2. Suppose -8 = -j*c + 2*c. Solve c*x - 3*x = -2*w + 20, 6 = -2*x + 2*w for x. 2 Suppose -5*c - 2 - 23 = 0, 3*l - c + 85 = 0. Let o be (-26)/(-10) + (-12)/l. Solve 4*y - s - 12 = -3*s, s = y + o for y. 1 Let r(o) = -o + 5. Let m be r(5). Solve t + 3*c + c - 7 = m, 6 = 3*c for t. -1 Let j = 15 - 12. Suppose 8*h + 5 = j*h, -3*h = 3*s - 12. Solve 0*w - 5*w = -3*m - 7, s = m + 2*w for m. 1 Let q(x) = -2*x. Let v be q(-2). Suppose -v*w + 16 = -0*w. Suppose r = -w*r + 25. Solve 5*c = 4*y - 36, -2*c = -2*y - r*c - 4 for y. 4 Suppose -4*h + c = 124, -c + 12 = 2*c. Let k be h/((4/(-3))/2). Let i be 1/(3*3/k). Solve -23 = 3*t + 4*n, -2*n + 20 = i*t - 7*n for t. -1 Let d be (1/2)/((-1)/(-4)). Solve -2*p - d*k - 2 = 0, 2*p + 0 = -k - 4 for p. -3 Let q be 76/18 - 10/45. Solve -m = -q*h - 23, -3*h + 5*m - 30 = -0*h for h. -5 Let q = -5 - -8. Solve j + 5*w + 37 = -q*j, 2*w = -10 for j. -3 Suppose -2*a = -7 - 5. Let d(x) = x - 7. Let u be d(a). Let q = u + 5. Solve 3*h = 0, q*f - 4 = -2*h - 3*h for f. 1 Let h(w) = 2*w**3 - 4*w**2 + 4. Let x be h(2). Suppose 2*u = -u + 9. Suppose -u*f - x + 67 = 0. Solve f - 3 = -4*a + 2*l, -5*l = -4*a - 21 for a. -4 Let y(x) = x**2 - x + 5. Let w be y(0). Suppose 2*t + t + w*m = 52, -3*m = -6. Solve 3*h = -4*d + 24, -3*h + 13 = 5*d - t for h. 4 Let c(i) = i**3 + 2. Let x be c(0). Suppose 0 = -3*a - x*r + 4*r + 23, r = a - 6. Let k = a + -5. Solve -p - p = -4*b + k, 2*b - 33 = -5*p for p. 5 Let z be 2/(-4) - (-39)/2. Let p = 14 + -14. Suppose -5*v - 2*h + 18 = 0, h + 3*h - 16 = p. Solve 7 = -3*x + 2*u, 2*x + 3*u - z = -v*x for x. 1 Let x = 10 + -7. Solve 15 = -3*n, 4*p - x*n + 5*n + 22 = 0 for p. -3 Let o(p) = -p + 8. Let i be o(4). Solve -z = i*m - 15, 3*m + 2 = -5*z - 8 for z. -5 Let z(h) = -h**2 + 9*h - 3. Let x be z(8). Let d = -18 - -12. Let t(f) = -f**2 - 6*f + 7. Let k be t(d). Solve 5*q - 4*j - k = x, -4*j - 4 = -3*q for q. 4 Let d(i) = -3*i**2 + i - 7. Let v be d(3). Let o = v - -43. Solve 12 = -4*h, 4*h + 40 = -4*j + o for j. -4 Suppose -6 = -5*u + 9. Solve u*j - 7 = 5*t, -5 = -j - t - 0*t for j. 4 Let g be (-25)/(-9) - (-2)/9. Let d be g*3/(-9)*-3. Solve -5*h + 5 = -0*m - 3*m, -d*m + 4*h = 4 for m. 0 Suppose 0 = -4*w - 2*l + 40, l = w + w - 12. Solve 3*d = -4*s + 3 + w, -4*s = 4*d - 16 for d. 5 Suppose -3*u + 2*c + 10 = 0, -u + 0*u + 6 = 2*c. Solve 3*r = h - 2*h, u*r + 2*h = -2 for r. 1 Let w = 220 - 215. Solve -3*k + 8*k + 3*l = -5, 0 = 2*k - w*l + 33 for k. -4 Suppose 4*o = 4 + 4. Solve 3*l + 16 = -l, o*l + 5 = 3*n for n. -1 Let p(g) be the second derivative of -g**3/6 + 15*g**2/2 - 2*g. Let u be p(11). Solve -u*o + y + 7 = 0, -y - y = -4*o + 2 for o. 3 Let d(v) = 6*v**2 + 4*v. Let q be d(-3). Suppose 6*z - 3*z - q = 0. Let w = z - 9. Solve r + 3*p = -3 - 2, 9 = -w*r + p for r. -2 Let p = 17 - 11. Suppose 0 = g - p*g + 15. Solve -3*t - 3 = 3*c, g*c = -t + 4*c + 3 for t. 1 Suppose 4*q + 156 = 4*u, q = -q - u - 69. Let x be 2/3 + (-300)/q. Let a be 3 - 0/(3*-1). Solve -o - 2*o - x = -a*g, -5*g - 5*o = 35 for g. -2 Let b(z) = -z**3 - 3*z**2 + 5*z + 6. Let v be b(-4). Let s = -2 - -5. Solve -h - i = 6, s*i = 3*h + i - v for h. -2 Suppose -2 = -3*t + 13. Solve -2*d - 24 = -t*r, -2*r + 4*d + 24 = 2*r for r. 4 Let p = -14 + 20. Let x be p/(-33) - (-46)/11. Solve -b - 5*h = -11 + 4, 5 = b + x*h for b. -3 Suppose -10*p = -4*p. Solve p = z + 2*b, -4*z - b + 9 = -5 for z. 4 Let q(t) = t**3 - t - 1. Let p be q(2). Let u be -2 - (0 + 2 + -6). Let w = p - u. Solve -3 = -4*z + 3*v, w*v + 8 = -z + 2*v for z. -3 Let m be 15*(2 - 1) + -3. Suppose 3*u + m = 0, -y = u - 7 - 3. Let q = y + -9. Solve 28 = -3*o - 3*j + 10, q*j + 18 = -2*o for o. -4 Let j(k) = k. Let a(w) = w**2 - 3*w. Let n = 5 - 2. Let s be a(n). Let i be j(s). Solve -3*m - 4*h + 8 = i, -2*m + 3*h = -3*m + 1 for m. 4 Let d = -22 + 14. Let l = d + 12. Solve -5 + 25 = -l*q, 3*q = -4*n - 35 for n. -5 Let h be 0 - ((-4)/(-2) + -12). Let y = -17 + 19. Solve -2*w - 2*c = y*w - h, -5*w + 2*c + 35 = 0 for w. 5 Suppose -3*v = 60 - 249. Suppose v = -5*a - 7. Let t(g) = -g**3 - 15*g**2 - 16*g - 12. Let q be t(a). Solve -2*s + 0*s - q = -3*j, -j = -3*s - 10 for s. -2 Let f be -1 - -2 - 3/(-3). Suppose 0 = -3*q + 9 + 9. Solve -f*p = 4, -p + 7 = -3*m - q for m. -5 Suppose -f = -28 + 12. Solve x + f = 5*w, 3*w = -x + 4*x for w. 4 Suppose
{ "pile_set_name": "DM Mathematics" }
2/9 What is (-672)/42*(-4)/4? 16 Evaluate (650/(-26))/75*2/6. -1/9 What is the value of ((36/16)/(-3))/(90/24)? -1/5 What is (15159/10106)/(17/(-2)*(-2)/4)? 6/17 Evaluate (99/(-660))/((-18)/48)*(-195)/24. -13/4 (-8220)/(-1370)*(-2)/(-6) 2 Calculate (1/(9/(-3)))/(-6*12/(-216)). -1 Evaluate 84*(-13)/(-156)*12/(-14). -6 What is the value of (1*(-4)/(-252)*-3)/((-8)/24)? 1/7 Calculate ((-32)/144*2/4)/((-27)/81). 1/3 What is the value of 32/720*9*1/(9/(-5))? -2/9 8/20*6*(-410)/82 -12 What is ((-1164)/(-1552))/(2/232*3)? 29 (20/6)/(2/9)*(-295)/177 -25 What is the value of ((0/(-11))/13)/12? 0 What is the value of ((-1)/((-3)/22))/((-6298)/9447)? -11 What is 8/(64/102)*136/102? 17 Evaluate (-1794)/230*-3*(-1)/(-9). 13/5 Calculate (-90)/(1290/43)*(3/3)/28. -3/28 Calculate (-3)/(3/4)*((-2646)/27)/8820. 2/45 What is 14/(-1680)*-10*(-8)/(-5)? 2/15 (-3)/25*(-20)/2 6/5 Calculate (-8)/(16/2)*(-52)/((-12)/(-3)). 13 Evaluate ((-41)/492)/((-5)/60). 1 What is (6/24)/((-2392)/736)? -1/13 Evaluate (-112)/752*(-1)/(-2)*120/(-210). 2/47 ((-9)/(945/12))/((-12)/(-30)) -2/7 What is the value of (2/387)/(-5*(-1)/45)? 2/43 Calculate 8*63/840*25/1. 15 Evaluate (-9)/15*220/66*2. -4 What is the value of 8/(4/2)*442/3094? 4/7 (-9)/((-1197)/21*-1) -3/19 What is 132/48*(-58)/7337? -1/46 Calculate ((-83)/249)/((-3)/(-225)). -25 What is 20/(-4)*(26/20)/((-81)/162)? 13 (((-3)/5)/(-3))/((-7)/35)*-12 12 Evaluate 3*26/(-3)*(-61)/(-122). -13 What is (39/3)/(-39)*(-165)/(-11)? -5 What is the value of ((-2)/8)/((-100)/40*28/(-40))? -1/7 What is the value of 2226/(-1908)*6/(-1)? 7 Calculate ((-64)/(-32))/(-16)*(-48)/2. 3 Calculate 369/1230*50/9. 5/3 (48/315)/(732/7686) 8/5 (-99)/((-189)/21)*1*-1 -11 (5/55)/((-252)/(-154))*-3 -1/6 What is (32*(-26)/(-624))/((-12)/243)? -27 (-4998)/(-126)*27/153 7 What is the value of (-2)/(68/18)*758/3411? -2/17 Calculate ((-3)/6)/(12/24)*(-12)/(-4). -3 Evaluate 4/6*(-276)/1012. -2/11 Calculate (24/714)/(104/(-364)). -2/17 What is the value of (-49)/4*30/5460*-13? 7/8 What is the value of ((-126)/(-8))/(43/(3956/69))? 21 Calculate (6/(-28))/((-3465)/2695)*4/(-26). -1/39 1/(-4)*(24/(-26))/((-7)/91) -3 (1/(15/(-6)))/(24/(-150))*-1 -5/2 Evaluate 2*110/(-3960)*18/8. -1/8 What is the value of 1/((5/10)/(4/((-16)/28)))? -14 Calculate (15/30)/(3/(-432)*4). -18 Calculate (3/21)/(((-462)/(-49))/11). 1/6 Calculate (34/(476/(-21)))/(2*(-52)/(-16)). -3/13 What is the value of ((-42)/22)/3*34/119? -2/11 What is the value of ((-802)/3609)/(2/3*(-1)/(-2))? -2/3 What is (10/(-25))/((-7)/(-175))? -10 Calculate 7/35*50/(-12)*(-26)/(-455). -1/21 What is the value of ((1633/(-92))/71)/((-2)/24)? 3 (-3)/((-72)/(96/8)) 1/2 Calculate (-2)/(-2)*520/360*-9. -13 What is the value of ((-198)/(-297))/(30/9)? 1/5 ((-8)/(-1624)*-7)/((-1)/(-1)) -1/29 Evaluate (((-15)/(-2))/5)/(((-2109)/532)/(-37)). 14 ((-468)/351)/((-8)/(-78)) -13 What is ((-5)/15)/(286/(-132))? 2/13 What is the value of ((-143)/(-286))/(5/160)? 16 ((-9)/15)/((-6)/15)*-8 -12 Calculate 15/(((-408)/(-8))/17)*-5*1. -25 Calculate (149/(-2086))/(112/42*2/56). -3/4 What is ((-276)/828)/(2/66)? -11 Calculate (120/672*(-120)/(-25))/(4/112). 24 What is the value of ((-398)/2587)/(178/(-26))? 2/89 What is (-66)/(-44)*28/273? 2/13 3/(-6*(-3)/(-12))*34/(-4) 17 What is 29/58*14*(8/(-4))/(-2)? 7 Calculate ((-73)/73)/(((-22)/12)/(-1)). -6/11 Calculate (-21*(-42)/735)/(-3). -2/5 Calculate (72/1488*31)/((-3)/(-28))*-2. -28 Evaluate (-12)/(-10)*910/(-6006). -2/11 What is the value of (6/99*14/14)/((-5)/15)? -2/11 Calculate ((-2680)/(-3216))/((-10)/(-6)). 1/2 What is ((-170)/(-136))/(775/40)? 2/31 ((-48)/(-264))/(3*4/36) 6/11 ((-31)/2790*-6)/(1/10) 2/3 Calculate (-312)/24*(-325)/169*8/10. 20 What is the value of 72/378*-7*3? -4 Evaluate ((-4)/(-14))/((-88)/1001). -13/4 Calculate ((-910)/728*(-8)/30)/(44/18). 3/22 Calculate -7*3/6*((-9152)/364)/(-44). -2 Calculate 41*60/9840*2*7/(-3). -7/6 Calculate 39/((-468)/12)*4/50. -2/25 Calculate ((-8)/(-10))/(48/1040*-26). -2/3 Evaluate (2/(-7))/(129/2408)*(-33)/(-110). -8/5 What is the value of -5*4/(32/(-8))? 5 Evaluate 8/(-10)*(-10125)/(-450). -18 Evaluate 2035/(-1628)*(-88)/(-20). -11/2 What is the value of -5*((-9)/156)/((-55)/22)? -3/26 ((-22)/(-33))/(10/36)*(-10)/3 -8 What is 48/8*-9*(-6)/4212? 1/13 Evaluate (-1)/4*(-3904)/15128. 2/31 Calculate (12/6)/((-6)/(-36)*12/(-2)). -2 What is (96/(-3328)*-26)/(2/8)? 3 (5/(350/(-63)))/((4/2)/(-4)) 9/5 Evaluate ((-1)/(-10))/((-144)/3510)*136/102. -13/4 What is the value of (-4)/(-16)*(2/(-8))/((-17)/48)? 3/17 What is (35/(-1575)*9)/(1/(-70))? 14 (176/308)/((-110)/77) -2/5 Evaluate (-31)/((-217)/7)*(-1)/(-1)*1. 1 Evaluate ((-1)/2)/((-1210)/4235). 7/4 21*2/18*-2 -14/3 Calculate 1/((108/36)/((-30)/4)). -5/2 (6/4)/(3*(-14)/32) -8/7 What is (((-4)/8)/(-1))/((-1)/(-13)*-2)? -13/4 Calculate 63/3*180/420. 9 (3/9)/(1/108*-6) -6 What is (((-12)/(-2))/2)/(42/1610*5)? 23 Evaluate (59/(2596/(-352)))/(2/3). -12 Calculate 64/4*90/(-180). -8 What is (1245/166)/(6/24*-10)? -3 What is 3/8*1960/(-245)? -3 What is (23620/(-9448))/(3/((-216)/10))? 18 Calculate (-5)/((((-585)/104)/(-3))/((-18)/8)). 6 What is (-12)/((-72)/3)*12? 6 ((-18)/(-9))/(10/(-220)*2) -22 What is (-3)/(-6*2/(-72)*-2)? 9 10/((12/(-6))/2) -10 15/(-5)*(42/(-7))/(-42) -3/7 (-12)/((-17)/(510/120)) 3 Evaluate 6*((-1)/(-7)*-5)/((-2418)/(-2821)). -5 (-2)/10*261/29*2/18 -1/5 Calculate ((-14)/(-4))/(210/8880*37). 4 Evaluate ((-36)/30*-1)/(16/(-320)). -24 Calculate 37/37*4/10*10/4. 1 What is ((-285)/(-5))/(((-189)/18)/(-7))? 38 What is 11/88*-28*20/2905? -2/83 Calculate 300/(-125)*(-60)/(-54). -8/3 What is (18/(-3))/(((-5)/5*6)/8)? 8 What is ((-10)/70)/((-2)/7)*0/2? 0 What is the value of (48/15)/((-1368)/(-171)*1/20)? 8 Calculate ((-6)/9)/(72/432). -4 What is the value of ((18/(-4))/(33/(-44)))/(465/1085)? 14 What is ((-24)/20)/(7/(-105)*-1)? -18 What is (-21)/33*(180/(-45))/(28/(-6))? -6/11 Calculate (51/((-1785)/14))/(8/4). -1/5 Calculate ((-3696)/660)/(-3*(-7)/(-90)). 24 What is the value of (-28)/(-2)*(((-65)/(-13))/5)/(-2)? -7 Calculate (1/5)/(8/150*15). 1/4 Evaluate 11*((-33)/(-132))/(-3*1/(-12)). 11 (-6)/(12*(-5)/(-210)*7) -3 Evaluate (62/(-8))/(((-1)/3)/(596/(-447))). -31 Calculate (36/(-16)*15/(-135))/(-1). -1/4 What is (-211)/(-633)*((-3)/(-8))/(26/(-8))? -1/26 (180/400)/((-114)/152) -3/5 What is ((6/(-20))/(81/(-45)))/(30/(-675))? -15/4 Evaluate (8/8*-12)/(-6). 2 What is ((-140)/60)/(7/4)*(-14)/4? 14/3 (28/105*(-2)/4)/(1680/(-600)) 1/21 Calculate 0/20*(-2)/4. 0 Evaluate -1*((-416)/24)/(-13). -4/3 What is (28/18)/(49/((-1323)/(-6)))? 7 Evaluate ((1786/2470)/(-47))/(((-18)/(-20))/(-3)). 2/39 Calculate 498/(-166)*(-8)/6*-1. -4 What is (((-7826)/(-84))/(-43))/((-3)/6)? 13/3 Calculate (-9)/(((-10)/(-3))/(-8*(-12)/(-432))). 3/5 Evaluate (-10)/280*8*(-5)/50*14. 2/5 (-58)/(-580)*(-10)/8 -1/8 0*26*4/208 0 What is 8/7*(-49)/(-196)? 2/7 Calculate (3/35)/((-311)/(-1555)). 3/7 What is (-8)/(-36)*522/29? 4 Calculate -6*((-10)/125*-1)/((-72)/90). 3/5 What is ((320/12)/8)/((-209)/627)? -10 Evaluate 120/4860*(-36)/4. -2/9 What is ((-2)/14)/(510/(-119))*-4? -2/15 Calculate (-1)/((2*3)/((-400)/2900)). 2/87 Evaluate (48/(-240))/((-1)/(-15)). -3 Calculate 184/3312*3/(-5). -1/30 What is the value of (3/(-3)*3)/((-276)/23)? 1/4 Evaluate (7/(77/(-176)))/((-6)/(-3)). -8 Evaluate ((-4)/22)/(1555/(-10263)). 6/5 Calculate 600/(-180)*(-5)/(40/(-12)). -5 (-16)/20*(54/(-162))/(2/(-105)) -14 (-142)/(-71)*1/4 1/2 Evaluate (2/((-16)/(-4)))/(((-1275)/(-12))/(-17)). -2/25 Evaluate (17/(-170))/(35/(-50)). 1/7 What is the value of 139/(58380/252)*32/(-3)*1? -32/5 (30/40)/((-2)/(5/(-15)*-56)) -7 What is the value of (6/(-4)*5)/(9/(-6))? 5 What is the value of -1*2/(-10)*60/(-450)? -2/75 What is ((-2842)/1218)/(14/(-72))? 12 What is (6*(-9)/216)/((-5)/300*-35)? -3/7 840/(-13230)*14*3/(-12) 2/9 Evaluate (-25)/(-10)*(-28)/(-210)*-6. -2 Calculate (-3)/5*17630/1763. -6 Calculate (-208)/4*296/1924. -8 Calculate (-1388)/16309*2/(-8). 1/47 (3042/52)/117*((-16)/26)/1 -4/13 Calculate (-5)/150*372/(-31). 2/5 Evaluate ((-10)/(-20)*(-2)/3)/(64/192). -1 What is the value of ((-8)/2)/(-1)*(-5)/10? -2 What is 10*-1*(-3)/((-14)/((-224)/660))? 8/11 What is the value of 41/(-9594)*-26*9/2? 1/2 What is the value of ((2/1)/(-4))/(1536/1152)*-1? 3/8 What
{ "pile_set_name": "DM Mathematics" }
alculate the least common multiple of h and g. 44 Let x(i) = -i**2 - 4*i + 34. Let j be x(4). Suppose -133 = -v - 5*f, j*f + 2*f = -3*v + 454. What is the smallest common multiple of v and 8? 632 What is the common denominator of 11/10 and (6/40)/((-9)/(-5688)*60)? 50 What is the common denominator of (-20)/6*(-216)/168 and 47/6? 42 Let v = 384 - 380. What is the lowest common multiple of 7 - (-1 + 0)*1 and v? 8 What is the least common multiple of 20/(-35) - 159*6/(-126) and 4? 28 Let j be (0 - -71)*(-39)/(-174). Let f = j + -16. Let r = f + 451/522. What is the common denominator of -61/6 and r? 18 Let c be 4/(-5) + 28/35. Suppose 8*u + c*u - 32 = 0. Suppose u*y = 5*n + 30 - 111, 13 = n - 4*y. What is the common denominator of 41/38 and n? 38 Let o = -15/569084461 + -75535149474131/4509425268964. Let c = o - -1/1981. Find the common denominator of c and -61/10. 20 Let q = 318/983 - 130845/322424. Find the common denominator of -119/18 and q. 2952 Suppose 3*s + 2*s + 4*k = 106, 2*k = 4*s - 64. Suppose -n + 5*w = 17, n - 4*w = -3*w + 3. Calculate the least common multiple of n and ((-3)/(9/(-2)))/(s/162). 24 Let t be -3 - ((-1558)/4)/((-7)/14). Let v = 14057/18 + t. What is the common denominator of v and ((-1)/10)/((-4)/82)? 180 Suppose -8*m + 912 = 11*m. Calculate the least common multiple of m and 18. 144 What is the common denominator of -6*1 - (-2445)/150 and -85/1522? 7610 What is the common denominator of 2*74/16 + 9/(-27) and 58/15? 60 Let y = 11328/137489 - 22/431. Let t = y + 30763/5742. Find the common denominator of t and (-123)/(-234) + 4/6. 234 Let r = 0 + 1. Let w be (0 + 1)*(-3 + 3). Suppose -2*k + 15 - 13 = w. What is the lowest common multiple of k and r? 1 Let w = -18561718333/36 + 515666479. Let v = w - 63196. What is the common denominator of 40/3 and v? 36 Suppose q + 1100 - 16744 = 0. Suppose 3*i - 3*z = -46932, -i + 4*z - q = -0*i. Let j = 250389/16 + i. Calculate the common denominator of 43/12 and j. 48 Suppose 0*d = 9*d - 108. What is the smallest common multiple of d and 1? 12 Let a = 9077/15 - 1843/3. Calculate the common denominator of 43/50 and a. 50 Suppose 0 = -5*y + 5*n - 10, 5*y + 20 = -0*y + 3*n. Let q(v) = v**3 + 5*v**2 - 16*v - 10. Calculate the lowest common multiple of 16 and q(y). 16 Let i(n) = 2*n**2 + 5*n - 10. Let t be i(-5). Find the common denominator of -47/102 and (-78)/4 - t/(-20). 204 Suppose 2*o - 28 = 4*u, 0*u - 4*u - 12 = -o. Calculate the least common multiple of 27 and (-2)/4 - (-392)/o. 216 What is the common denominator of ((-225)/(-22))/3 - -1 and 32 + -30 + 303/(-42)? 154 Let c = -3/3547 - -198713/95769. Find the common denominator of c and 53/9. 27 Suppose 113 = 3*o + 41. Let r(u) = -u**3 - 14*u**2 - 60*u - 63. What is the smallest common multiple of o and r(-7)? 168 Let v(u) = 32*u**2 + 26*u + 48. What is the smallest common multiple of 22 and v(-6)? 11484 Let i be 6/(-15) - (-26)/(-10). Let q be i/(6/(-23))*-146. Let o = -6675/4 - q. Calculate the common denominator of -44/5 and o. 20 Let k = 17 + -62. Let s = k + 67. Calculate the lowest common multiple of 22 and s. 22 Let t be 2 + (-24)/10 + (-156)/(-15). Suppose -t*k + 73 = 23. Calculate the lowest common multiple of 5 and k. 5 Find the common denominator of -3 + 13 - 37703/4218 and 125/96. 1824 Let t(g) = -9*g**2 + 11*g - 2. Let w be t(-6). Let x = w + 3129/8. What is the common denominator of 89/16 and x? 16 Let m = 123/8 + -47/8. Let y be 54028*4/44 - -1. Let u = -4909 + y. What is the common denominator of u and m? 22 Suppose 54*h - 47*h = 532. What is the lowest common multiple of 36 and h? 684 Calculate the common denominator of (-76)/231 + 124/434 and -61/210. 2310 Let f(u) = -4*u - 26. What is the smallest common multiple of 18 and f(-9)? 90 Let a = 252415/4 + -62304. Let k = a - 35243/44. Calculate the common denominator of 42/5 and k. 110 Let k = -1162 - -1262. Calculate the lowest common multiple of k and 12. 300 Let t(f) = f - 1. Let m be -12 + (-6)/8*-4. Let b be t(m). What is the common denominator of (-81)/b - (-1 + 4) and 13/2? 10 Let c be (34/18)/((-4)/(-120)*1). Let g = -55 + c. Find the common denominator of (-1)/(-1) - (1 + 18) and g. 3 What is the least common multiple of ((-52)/(-5))/((-5)/(-25)) - -2 and 12? 108 Let i(u) = -u**3 - 4 + 2*u**2 - 5*u**2 + 2 - 2*u. Let y be i(-2). Calculate the common denominator of 735/20*y/(-15) and -75/2. 10 Suppose 5*y = 3*y - 456. Let w = 420 + y. What is the common denominator of 38/7 and (-4)/(-14) + w/(-133)? 133 Suppose -33*u + 56 = -29*u. What is the least common multiple of (-44 + 2)*(-1)/3 and u? 14 Let b = -7258 - -13503. Let u = 149903/24 - b. Find the common denominator of u and 70/27. 216 Suppose -1221 = 6*s + 14919. Let d = -21563/8 - s. Find the common denominator of d and -89/14. 56 Calculate the smallest common multiple of (-96)/(-9)*(-4 - 70/(-7)) and 10. 320 Let n = 185/11 + -157/44. Suppose -2 = -4*u - 98. Find the common denominator of (-9)/12 + (-170)/u and n. 12 Let z = 16228 - 892602/55. Let d = 2/21081 + -541099/210810. Find the common denominator of z and d. 330 Let b be ((-20)/1)/((-3)/(-6) + -1). Suppose 7*j - b = 100. Suppose 0 = -2*x + 23 + 37. Calculate the smallest common multiple of j and x. 60 What is the common denominator of 2 + 127/6 - 0 and (2 - 19/8)/((-3)/(-61))? 24 Suppose r = -3*r + 32. Let d be 15/(-5) + (0 - -10). Suppose q - d*q = -60. Calculate the least common multiple of r and q. 40 Let l = -25 - -11. Let m = -20 - l. Find the common denominator of -85/14 and 9/10 + m + 10. 70 Let q be ((-2)/(-62))/(2*(-1)/60). Let y = 2881/62 + q. Calculate the common denominator of y and 5/8. 8 Suppose k - 63 = -11. Let u = k - 34. What is the lowest common multiple of u and 39? 234 Let l be (-3370)/2252 - (-3)/2. Let t = l + 10691/1689. Calculate the common denominator of -67/27 and t. 27 Let d = -7040 - -7057. Let p = 5 + 0. Calculate the smallest common multiple of p and d. 85 Suppose -p = -3, 3*a + 0*a = -p + 900. Let k = -638 + a. Find the common denominator of 65/72 and k/(-80) - (-8)/(-10). 144 Suppose 0 = 4*b + 209 - 65. What is the common denominator of (-4 - (-93 - 0))/b and (0 - 1)/((-6)/(-26))? 36 Suppose -145*l + 4*m + 12 = -143*l, 2*l - 15 = 3*m. Calculate the lowest common multiple of l and 23. 276 What is the smallest common multiple of 1*(1/3)/(9/1053) and 33? 429 Let p = 3967/246 + -53/41. Let u = 111581/12 + -30167/3. Let h = u + 763. Calculate the common denominator of h and p. 12 Let k = -442 - -157. What is the common denominator of ((-249)/(-4))/(k/(-10)) and 23/4? 76 Let b(s) = s**3 + 16*s**2 + 10*s - 11. Let l be b(-15). Calculate the common denominator of (-36)/l*(-186)/(-9) and 79/4. 8 Let h = 301 - 249. Calculate the least common multiple of h and 65. 260 Let k = -8/6523 + 339556/293535. Calculate the common denominator of 36/(-12) - (107/(-15) - -1) and k. 45 Suppose -9 = 5*p - 3*t, -4*p + 5*p = 5*t + 7. Suppose 185 - 773 = -42*b. Calculate the smallest common multiple of b and (-4)/((p/12)/1). 112 Let h = 539 + -500. Calculate the least common multiple of 48 and h. 624 Suppose j = -l - 10, j - 4*l + 3 = -2. Let v be (-498)/(-8074)*39/j. Let a = 2/367 - v. What is the common denominator of 41/7 and a? 77 Calculate the smallest common multiple of (-2 + 0)*(-14 + -8) and 36. 396 Let t(c) be the third derivative of c**4/24 + 11*c**3/6 - 4*c**2. Let x be t(-6). Suppose -2*f + x*f - 12 = 0. Calculate the lowest common multiple of f and 2. 4 Let k = 366 - 360. Let x = -5 + 27. What is the smallest common multiple of x and k? 66 Let b = 19377 + -930211/48. Calculate the common denominator of b and 83/136. 816 Let u = 43357/4 + -10978. Let x = 389/4 + u. What is the common denominator of 6/(-44)*(-18 - -42) and x? 22 Suppose 19 + 25 = 3*l + 2*d, 0 = -5*l + 2*d + 52. Suppose -4*g = -5*r - 28, -6*g + 4*g + 2*r = -16. What is the smallest common multiple of l and g? 12 Suppose -2*u + 5*v = -3063, -u - 999 + 2538 = -5*v. Let s = u + -4619/3. Find the common denominator of s and 44/29. 87 What is the common denominator of (-366)/(-4)*6/90 and 47/64? 320 Let g(h) = h**2 - 15*h - 12. Let z be g(16). Suppose -z*r = 5*w - 2*w - 10, 4*w = -4*r + 16. What is the smallest common multiple of w and 3? 6 Suppose -358 = -2*q + 28*y
{ "pile_set_name": "DM Mathematics" }
y? 6 Let q(y) = y**2 - 10. Let a be q(0). Let k = a + 14. What is the units digit of k? 4 Let m(l) = -l**3 + 7*l**2 + l + 6. What is the tens digit of m(6)? 4 Let a(n) = 3*n**2 - 10*n + 15. What is the tens digit of a(6)? 6 What is the tens digit of (-186)/(-4) + 8/(-16)? 4 Let g be (-1*2)/2 + -7. Let d = g + 4. Let t = d + 8. What is the units digit of t? 4 Let t(i) = -i**3 - 3*i**2 - 2*i - 4. Suppose -n - 2*n + 9 = 0. Suppose -3*h = 2*x + 13, 2 = -n*x - 4. What is the units digit of t(h)? 2 What is the units digit of (-6)/(-5 - 464/(-94))? 4 Suppose 0*d = 4*d. Suppose d = -5*n + 39 + 66. What is the tens digit of n? 2 Let h(z) = -z + 2. Let r be h(-10). Let f be 32/r - 4/6. Suppose -f*i + 10 = -8. What is the units digit of i? 9 Let d = -19 + 59. What is the units digit of d? 0 Let p(x) = 16*x**3 - 1. Let f be p(-1). What is the tens digit of (-7 - -4)/3*f? 1 Suppose -1284 - 540 = -8*j. What is the tens digit of j? 2 Let w be 3 + (24 + 1 - -1). Suppose -109 - w = -3*n. What is the units digit of n? 6 Suppose 0*g - 5*g = 45. What is the units digit of (-22)/(-18) + 2/g? 1 Let s = -1 - -2. Let o be (s - 1)*(-2)/4. Suppose 10 = -5*l, -a + 3*l + o*l + 15 = 0. What is the units digit of a? 9 Let y(m) = m**2 + 24. Let h be y(0). What is the units digit of 320/h + (-1)/3? 3 What is the tens digit of 3/((-3)/(-4)) + 80? 8 Suppose 0 = -5*u + 3*v + 161, -3 = -3*v - 9. What is the units digit of u? 1 Suppose 0 = 3*n + k - 4, 0*k + 7 = -n - 2*k. Let p = n + 4. What is the units digit of p? 7 Suppose 3*q = -2*p + 503, -5*p - 111 = -2*q - 1416. What is the hundreds digit of p? 2 Suppose 2*b + 3*f = 27, -13 = -4*f - 1. Suppose -7 - b = -h + 2*d, 15 = 3*d. What is the units digit of h? 6 Let v = -3 + 4. Suppose f - 1 = v. Suppose f*k = -0*i - 5*i + 12, 3*i = -4*k - 4. What is the units digit of i? 4 Suppose -150 = -4*r - r. Let p be r/7 - 4/14. Suppose 0 = -p*u + 16 + 12. What is the units digit of u? 7 Let n(m) = 48*m - 24. What is the hundreds digit of n(7)? 3 Suppose -6*j = z - 2*j - 22, -5*z - 2*j + 74 = 0. What is the tens digit of z? 1 Let z = -11 - -23. Suppose 2*r + 4 - z = 0. Suppose 0 = -r*c + 29 + 31. What is the tens digit of c? 1 Let y(m) = -m**2 + 13*m + 1. What is the tens digit of y(10)? 3 Suppose -4*i = -5 - 107. What is the tens digit of i? 2 Suppose 5*v - 136 = -4*h, -3*h - 3*v = -116 + 17. Suppose -3*c + h = 2. What is the tens digit of ((-33)/c)/((-3)/9)? 1 Let q = -15 - -3. Suppose -4*x + 6 = 2. What is the units digit of (-4)/(q/15)*x? 5 Let j(f) be the first derivative of f**6/120 - f**5/20 + f**4/6 - f**3/3 + f**2 - 1. Let q(i) be the second derivative of j(i). What is the tens digit of q(3)? 1 Let d(i) = i**2 - 5*i + 1. What is the units digit of d(6)? 7 Let o(z) = -2*z - 7. Let r be o(-5). Let d be 0*-2*r/6. Suppose g - 3*g + 4 = d, -k + 32 = 5*g. What is the tens digit of k? 2 Suppose 59 + 495 = 2*z. What is the tens digit of z? 7 Let o be (2 - 1)*3 + 77. Suppose -6*p + o = -2*p. What is the units digit of p? 0 Suppose -22 = -l - 18. What is the units digit of ((-6)/(-9))/(l/12)? 2 What is the tens digit of (1 - -78)*1 - 1? 7 Suppose -3*t + 5*d = -24, 3*t + t + 3 = -5*d. Suppose -t*f - 2*f - 53 = -4*p, -3*p + 2*f = -31. Let b(a) = -a**2 + 8*a - 2. What is the units digit of b(p)? 5 Let n(s) = 6*s**2 + 5*s + 5. What is the tens digit of n(-4)? 8 Let x = 10 - 14. Let p = 25 + x. What is the tens digit of p? 2 Suppose 457 = 3*y - 557. What is the units digit of y? 8 Let m(g) = -g. Let h(a) = -a + 1. Let w(f) = -f**3 + 5*f**2 - 2*f - 4. Let x be w(4). Let t(i) = x*h(i) - 3*m(i). What is the units digit of t(0)? 4 Suppose 0 = -12*g + 2565 + 603. What is the hundreds digit of g? 2 Suppose -4*j = -2*x + j + 12, -8 = -2*j. Suppose -17 + 7 = -2*b. Suppose -w = -b*o + 28, 3*o + 3*w - 4*w = x. What is the units digit of o? 6 Let g(x) = -1. Let o(d) = 2*d - 10. Let f(h) = -3*g(h) - o(h). Let q be f(-10). Suppose -4*b = -15 - q. What is the units digit of b? 2 Let p = 5 + -1. Suppose 3*f - 11 = -4*m, -p*m + 5*f + 3 = -0*f. Suppose 0 = 5*o - m*s - 87, -2*o + s = 4*s - 31. What is the units digit of o? 7 Let k(f) = f**3 + 3*f**2 - 2*f + 3. Let t be k(-4). Let z = t - -6. What is the units digit of z? 1 Let w(r) = -3*r + 27. Let p(h) = 13*h - 109. Let f(b) = 2*p(b) + 9*w(b). What is the tens digit of f(0)? 2 Suppose 3*b - b - 426 = -2*q, -q - 3 = 0. What is the hundreds digit of b? 2 Suppose -4*h + 4 = 0, -3*h - h = 4*q - 1204. What is the units digit of q? 0 Let u be 1*-4*(3 - 1). What is the tens digit of -3*(u + 3)*1? 1 Let m be 1*(6/2 - 2). Suppose -2 = -b + m. What is the units digit of b? 3 Let t(o) be the second derivative of o**4/12 - 5*o**3/6 + 3*o**2/2 + o. Let s be t(5). Suppose 3*u = 2*u + 2*l, s*l - 13 = -5*u. What is the units digit of u? 2 Let v(w) = 16*w**2 + 7*w + 4. What is the tens digit of v(-3)? 2 Let j = -6 - -8. Suppose 3*z - j*z - 4 = -3*o, 16 = 4*z. Suppose -3*n = 4*f - o*n - 35, 3*f + 5*n - 18 = 0. What is the units digit of f? 1 Let x be 4/(8/(-6)) - -8. Suppose 5*k + 0*l - 13 = -2*l, l = x*k - 16. What is the units digit of k? 3 Let j = 8 + -4. Suppose -5*m + 4*r = -34 + j, -4*r = -20. What is the tens digit of m? 1 Let b = -18 - -35. Let i = 12 + b. What is the tens digit of i? 2 Suppose 16*x - 6*x - 930 = 0. What is the units digit of x? 3 Let k(d) = -d + 1. Let p(w) = -5*w + 4. Let q(c) = -4*k(c) + p(c). Let j be (-7)/1*(-3)/(-3). What is the units digit of q(j)? 7 Let w(m) = 18*m**2 - m. What is the units digit of w(-3)? 5 Let n(x) = 5*x**2 + x - 2. Let f(i) = -1. Let k(z) = -3*f(z) + n(z). What is the units digit of k(2)? 3 Let q = 78 + -49. Let b = -9 + q. What is the units digit of b? 0 Suppose -4*t + 2 = -6. Suppose -2 = -r + t. What is the units digit of r? 4 Let c be 67 - (-4)/(-1 + -1). Suppose 0 = -v + 6*v - c. What is the units digit of v? 3 Suppose 45 = -2*h + 3*h. Suppose -h = -6*l + l. What is the units digit of (-62)/(-6) + (-3)/l? 0 Suppose 4*f + 14 = 606. What is the hundreds digit of f? 1 Let f = 17 - 1. What is the units digit of f? 6 Suppose y + 27 = 4*y. Let g = -4 + y. Suppose 0 = -5*t - 3*r - r + 28, -g*t + r = -43. What is the units digit of t? 8 Let u(y) = -5 + 4 + y**2 + 2. Let m = -7 + 4. What is the units digit of u(m)? 0 What is the units digit of (-174)/(-15) + 4/10? 2 Let h(k) = -k**3 + 8*k**2 + 13*k. Let u be h(9). Suppose u = s - 2*s. What is the tens digit of (s/(-15))/(2/10)? 1 What is the tens digit of ((16 - 17) + 127/7)*14? 4 Suppose -2*m - 4*i + 0*i + 54 = 0, 2*m - 5*i - 63 = 0. What is the units digit of m? 9 Let s(p) = -p**2 - 6*p + 5. What is the units digit of s(-6)? 5 Let g be (0 + (-5)/2)*-2. Suppose 3*l - 3 = 3. Suppose g*j - 27 = l*j. What is the units digit of j? 9 Suppose 0 = 2*i + 4, i = 2*x - 3*x + 27. What is the units digit of x? 9 Let s = 5 - 10. Let y = 23 + -32. Let k = s - y. What is the units digit of k? 4 Let h be 16/(-10) + 8/(-20). Let p be 3/(-6) - (-15)/h. What is the units digit of (-2)/p - (-38)/8? 5 Let c = -12 + 12. Suppose -2*i + 2*k + 50 = c, 5*i - 84 - 37 = k. What is the tens digit of i? 2 Let c(j) = j**2 + 3*j - 4. Let z be c(-4). Suppose 2*g + z - 12 = 0. What is the units digit of (-2)/(-4)*(g + -2)? 2 Let g = -33 - -37. What is the units digit of g? 4 Let t be ((-1)/2)/((-4)/24). Let n(v) be the second derivative of v**5/20 - v**4/4 + v**3/6 + 2*v. What is the units digit of n(t)? 3 Suppose 250 = 5*m - 275. What is the tens digit of m? 0 Suppose -5*n + 2*p - p = -289, -n + 2*p + 56 = 0. Suppose -n = -4*g + 2. What is the units digit of g? 5 Suppose -12*r + 265 = -7*r. What is the units digit of r? 3 Suppose 0 = -3*j + 3 + 12. Suppose 0 = -j*x - 0*x. Suppose 3*m - 24 = -x*m. What is the units digit of m? 8 Suppose 4*z + 4*c = 108, 0*c + 4*c - 8 = 0. What is the units digit of z? 5 Suppose -2*w = w - 4*u - 38, -3*w = -2*u - 34. Suppose -6*t = -w*t + 48. What is the tens digit of t? 1 Let r(l) = l**3 + 8*l**2 + 5*l + 1. What is the tens digit of r(-6)? 4 Let a = -1 - -3. Suppose -a*l + 20 = 4*j, -5*l + 50 = -3*j - 0*j. What is the tens digit of l? 1 Let o(y) = -25*y - 1. Let n be o(-1). Suppose -2*v = -3*h - n, h - 17 = -3*v - 3. Suppose -30 = 3*k - v*k. What is the tens digit of k? 1 Let m = -50 + 70. Suppose m = 5*v - 5. Suppose v*o = 30
{ "pile_set_name": "DM Mathematics" }
, 30 in descending order. 30, 5, -1, -4, -87 Put -1, -3, 167, 1, 7 in increasing order. -3, -1, 1, 7, 167 Put 103, -4, -37, 1 in decreasing order. 103, 1, -4, -37 Put 1, -10180, -1, 3, 0 in increasing order. -10180, -1, 0, 1, 3 Sort 4, 5, 2169, -2, 0.3. -2, 0.3, 4, 5, 2169 Sort 0.42, 0.4, -23, -9/4 in decreasing order. 0.42, 0.4, -9/4, -23 Sort 35, -214, -2/7, 0, -5 in descending order. 35, 0, -2/7, -5, -214 Sort -10, 12, -2 in ascending order. -10, -2, 12 Put 3, -5, 4, 43, -12, -96 in ascending order. -96, -12, -5, 3, 4, 43 Put -5, 3, -1, 0, 2, 274 in descending order. 274, 3, 2, 0, -1, -5 Sort 0.03, -1, 64 in ascending order. -1, 0.03, 64 Put 934, 71, -3, 4 in descending order. 934, 71, 4, -3 Sort -46, -86, 32 in descending order. 32, -46, -86 Sort -72, 1/6, -226 in decreasing order. 1/6, -72, -226 Put 0.017763, -0.1, 0 in increasing order. -0.1, 0, 0.017763 Sort 3, 0, -3, -24781 in decreasing order. 3, 0, -3, -24781 Sort 3/7, 1/269, -2/9 in decreasing order. 3/7, 1/269, -2/9 Put 0.2, 24, -0.004, -12, 2/27 in descending order. 24, 0.2, 2/27, -0.004, -12 Put 1898, 0, -5 in descending order. 1898, 0, -5 Put -23, 10, -9, -1 in decreasing order. 10, -1, -9, -23 Sort -9.2, 0.3, 0.1, 5080 in descending order. 5080, 0.3, 0.1, -9.2 Put -9, -45, 3, -1/4 in increasing order. -45, -9, -1/4, 3 Put -1, 2, 1, -245, 0, 54 in descending order. 54, 2, 1, 0, -1, -245 Sort 0, 4, 2, -9708, -4 in decreasing order. 4, 2, 0, -4, -9708 Put -4/7, 210, 73, 0.7, 2/9 in ascending order. -4/7, 2/9, 0.7, 73, 210 Put -6, 14, 0, 2, 5 in decreasing order. 14, 5, 2, 0, -6 Sort 74, -4, 107 in increasing order. -4, 74, 107 Sort 2, -5, -129, 5, 11 in increasing order. -129, -5, 2, 5, 11 Put -5, -4, 417, -14, 6 in decreasing order. 417, 6, -4, -5, -14 Sort 2, 3, 0, -4, -732 in ascending order. -732, -4, 0, 2, 3 Put 17, -6, 5, -179 in descending order. 17, 5, -6, -179 Sort -33/20, -158, 1/4, -0.5 in decreasing order. 1/4, -0.5, -33/20, -158 Put -5/7, -0.5, 0, 837 in descending order. 837, 0, -0.5, -5/7 Put -0.5, 606, 0.4, 0.2, 1, 15 in increasing order. -0.5, 0.2, 0.4, 1, 15, 606 Sort 1/4, 0.3, -2/11, 0.11, -5/6 in ascending order. -5/6, -2/11, 0.11, 1/4, 0.3 Sort 7, -273, -7, -5. -273, -7, -5, 7 Sort 1, 2, 21, 229 in ascending order. 1, 2, 21, 229 Sort -195, -1/8, 0, -2/7. -195, -2/7, -1/8, 0 Sort 5, -43, -15203 in ascending order. -15203, -43, 5 Put 0, 10, 5833, -12, -2 in ascending order. -12, -2, 0, 10, 5833 Put 0.8, -19, 13, -0.2 in decreasing order. 13, 0.8, -0.2, -19 Sort 8, -3, 4, -12, 1, -91 in descending order. 8, 4, 1, -3, -12, -91 Sort 9, -0.3, 1.22, 1/23, 4 in increasing order. -0.3, 1/23, 1.22, 4, 9 Sort -8711, -3, -3/2 in ascending order. -8711, -3, -3/2 Sort 2, 0, -2, 3, 116 in ascending order. -2, 0, 2, 3, 116 Sort -5, -23668, 3, -3 in decreasing order. 3, -3, -5, -23668 Sort 2, -180, -3, -1, -164. -180, -164, -3, -1, 2 Put 2, -3, 5, -5576, 0.3, 4 in ascending order. -5576, -3, 0.3, 2, 4, 5 Put -6, 24, 0, -185 in descending order. 24, 0, -6, -185 Put -176, 3, 1/4, -6 in descending order. 3, 1/4, -6, -176 Sort -2, 41, 13/4, -0.2, 0.4. -2, -0.2, 0.4, 13/4, 41 Sort 80, -7, 15, -2 in descending order. 80, 15, -2, -7 Sort 382, 2, -14 in ascending order. -14, 2, 382 Sort -0.102, 0.3, -0.138 in increasing order. -0.138, -0.102, 0.3 Sort 3/271, 0, -225/7 in increasing order. -225/7, 0, 3/271 Put -15, 3, 465 in descending order. 465, 3, -15 Sort 3180, -3, -2, 5, 2. -3, -2, 2, 5, 3180 Put -359, 2, 0, 27 in decreasing order. 27, 2, 0, -359 Sort -52, 5, -1627 in descending order. 5, -52, -1627 Sort 2, -12, -5 in descending order. 2, -5, -12 Put 20/7, 5, -96 in descending order. 5, 20/7, -96 Sort 1, -10, -13, 457 in decreasing order. 457, 1, -10, -13 Sort 4/5, 0.01, 5, 0.2, -1.18. -1.18, 0.01, 0.2, 4/5, 5 Sort -1, -3, 36, 18, 2 in decreasing order. 36, 18, 2, -1, -3 Sort -1, -2/7, 9.9, 50, 2/11 in descending order. 50, 9.9, 2/11, -2/7, -1 Sort -5, 4, 1608. -5, 4, 1608 Put 2, 1, 49, -8, 277 in decreasing order. 277, 49, 2, 1, -8 Put 2, -9, 0, -3, 4, -155 in ascending order. -155, -9, -3, 0, 2, 4 Put -4, -2, 24, 97, -5 in descending order. 97, 24, -2, -4, -5 Sort -3, -4, -10, 30, -18, 5 in increasing order. -18, -10, -4, -3, 5, 30 Put 18, -2, -1, -5 in increasing order. -5, -2, -1, 18 Sort -558/7, -0.1, -5/3 in decreasing order. -0.1, -5/3, -558/7 Sort -11, -40/3, 17, -5/3, -3 in ascending order. -40/3, -11, -3, -5/3, 17 Put -4, 3, 31, 34, 4, 1 in increasing order. -4, 1, 3, 4, 31, 34 Put -36, 0, -6, 3, -5 in ascending order. -36, -6, -5, 0, 3 Put -10, 5, -2280/13, 0.1, 2/11 in descending order. 5, 2/11, 0.1, -10, -2280/13 Put 5, -2, 3, 2/21, 0.3, 2/485 in increasing order. -2, 2/485, 2/21, 0.3, 3, 5 Put -3, 4, 2/7, 709, -4 in decreasing order. 709, 4, 2/7, -3, -4 Put -0.383, 4, 0, -225 in increasing order. -225, -0.383, 0, 4 Sort -3/7, 1/2, 1, -622 in descending order. 1, 1/2, -3/7, -622 Put 4, -108, 2, -123 in descending order. 4, 2, -108, -123 Put -5, 38, 9, 10, 1, 2 in descending order. 38, 10, 9, 2, 1, -5 Sort 0.47, 1/2, -0.2, 0.4, -1, -1/6 in descending order. 1/2, 0.47, 0.4, -1/6, -0.2, -1 Sort 11, 0.4, -106.1, 3 in increasing order. -106.1, 0.4, 3, 11 Put 164, 3, -30, -3 in decreasing order. 164, 3, -3, -30 Sort 4, -2, -20, 3, 0, -1. -20, -2, -1, 0, 3, 4 Sort -273, -5, 5. -273, -5, 5 Sort -2, -4, 4, -0.059. -4, -2, -0.059, 4 Sort -2, 2, 3, 89, -1 in increasing order. -2, -1, 2, 3, 89 Put -2/3, -17, 39.97 in decreasing order. 39.97, -2/3, -17 Sort 0.1, -1/8, -1.335, 36, 4 in descending order. 36, 4, 0.1, -1/8, -1.335 Sort 2, 0.3, -0.1, 3.2, 137/12, 3/7. -0.1, 0.3, 3/7, 2, 3.2, 137/12 Put 14, 11, 6, -1, 4, -56 in descending order. 14, 11, 6, 4, -1, -56 Sort 0.4, 120, 5, -2, 0.3 in decreasing order. 120, 5, 0.4, 0.3, -2 Put 87, -3, 16 in descending order. 87, 16, -3 Put -25, 0, -5, 53 in decreasing order. 53, 0, -5, -25 Sort 0.5, 9, -1/4, -0.49, -1 in decreasing order. 9, 0.5, -1/4, -0.49, -1 Sort 0.5, -6, -1/8, -8, 10, -0.542 in decreasing order. 10, 0.5, -1/8, -0.542, -6, -8 Sort 15, 6, -4, -3, -39, 1 in decreasing order. 15, 6, 1, -3, -4, -39 Sort -6, -5, 1, -3, -11, -1 in descending order. 1, -1, -3, -5, -6, -11 Sort -4, 219, 9, -1, -2, 10 in decreasing order. 219, 10, 9, -1, -2, -4 Put -3/23, -259, 0.19 in descending order. 0.19, -3/23, -259 Put -2/23, 121, 0.6, -3 in descending order. 121, 0.6, -2/23, -3 Sort 47, -2, -1428 in increasing order. -1428, -2, 47 Sort 167, 4, 0.06, 27, 2/7 in descending order. 167, 27, 4, 2/7, 0.06 Sort 1688/7, 2, 1/5, -1/6, 15 in ascending order. -1/6, 1/5, 2, 15, 1688/7 Sort 3, -238072, -1 in decreasing order. 3, -1, -238072 Put 6, -68, -36, -4 in descending order. 6, -4, -36, -68 Sort 1, 8, -2, 2, 5, 202. -2, 1, 2, 5, 8, 202 Put 2, 4, -8, 5, 0, -1 in descending order. 5, 4, 2, 0, -1, -8 Sort 0.4, 62/3, -0.041, 8. -0.041, 0.4, 8, 62/3 Put 31, 2, -5, -1, -32, -6 in descending order. 31, 2, -1, -5, -6, -32 Sort 211, 0, 4/3, -6 in descending order. 211, 4/3, 0, -6 Put 2, -4, 1, 10, -5, 76 in increasing order. -5, -4, 1, 2, 10, 76 Put -3, -50, 35, -4 in ascending order. -50, -4, -3, 35 Put 7, 2, 1196 in ascending order. 2, 7, 1196 Put 3, -4, 22167 in decreasing order. 22167, 3, -4 Sort 0, 9, 2, 4, 18. 0, 2, 4, 9, 18 Sort -4, 2, 124, -1, 5 in decreasing order. 124, 5, 2, -1, -4 Sort -14, 0, -9, 616. -14, -9, 0, 616 Sort 4, 2/7, -3, -4309, 0.13 in ascending order. -4309, -3, 0.13, 2/7, 4 Sort 12/11, -34.2, -0.2, -0.13 in increasing order. -34.2, -0.2, -0.13, 12/11 Put 2, -4, 3, -1 in descending order. 3, 2, -1, -4 Put -103, 3, -5 in decreasing order. 3, -5, -103 Sort -1/4, -2, -0.4, 0.85, -52, -3. -52, -3, -2, -0.4, -1/4, 0.85 Sort 4, -971, -1. -971, -1, 4 Sort 102, -28, 2 in ascending order. -28, 2, 102 Sort 40, 3, 5, 0, -2, 86 in decreasing order. 86, 40, 5, 3, 0, -2 Put 9, 1178, 0, 2 in increasing order. 0, 2, 9, 1178 Sort -2, -89508/23, 1/2, -4 in decreasing order. 1/2, -2, -4, -89508/23 Put -1, -2, -249, 4, 1, 2 in descending order. 4, 2, 1, -1, -2, -249 Sort 1/50, 9, -2, 3, -1/8 in increasing order. -2, -1/8, 1/50, 3, 9 Put 9, 192, 4, -12 in increasing order. -12, 4, 9, 192 Put 3, 1, 4, 8, -235 in decreasing order. 8, 4, 3, 1, -235 Put 115589, 0, 3 in decreasing order. 115589, 3, 0 Put 4/13, 1, -8/11 in increasing order. -8/11, 4/13
{ "pile_set_name": "DM Mathematics" }
(p) be the first derivative of 0*p + 0*p**2 - 49 + 8/3*p**3. Give d(f(k)). 32*k**2 Let j(o) be the first derivative of 3*o**2 + 7. Let n(q) = 11375*q**2 - 5687*q**2 - 5726*q**2. Calculate n(j(d)). -1368*d**2 Let v(a) = -a**2 + 124. Let b(k) = -3*k**2 + 395. Let y(h) = -4*b(h) + 14*v(h). Let r(q) = 2*q. Give r(y(z)). -4*z**2 + 312 Let s(a) = 10*a**2 - 3*a + 915. Let i(f) = 21*f**2 - 7*f + 2135. Let p(z) = -6*i(z) + 14*s(z). Let t(w) = w - w + 15*w**2. Determine p(t(u)). 3150*u**4 Let t(o) = o**2 - o. Let f = 319 - 318. Let m(n) = -17*n**2 + 2*n. Let k(c) = f*m(c) + 2*t(c). Let a(p) = -8*p**2. Calculate a(k(u)). -1800*u**4 Let n(w) = 2*w**2. Let p be (5/(-2) + 2)*(-1 - -3). Let h(u) = u + 1. Let q(o) = -5*o + 25. Let t(x) = p*q(x) - 4*h(x). Give n(t(f)). 2*f**2 - 116*f + 1682 Let z(f) = f**2 - 14*f - 23. Let k be z(16). Let w(m) = -7 - 2 + 6*m + k. Let b(v) = -4668 + v + 4668. Calculate w(b(u)). 6*u Let u(h) be the third derivative of -h**4/12 + 982*h**2. Let p(l) = 32*l**2. Calculate p(u(i)). 128*i**2 Let b(v) = 92*v**2 + 7. Let j(y) = 63584*y. Determine b(j(x)). 371949105152*x**2 + 7 Let n(y) = -75*y**2 + 369*y**2 + 402*y**2 + 148*y**2. Let k(a) = 19*a. Give n(k(l)). 304684*l**2 Let b(a) = -334*a**2. Let n(z) = -5*z**2 - 13*z - 338. Let c(k) = -k**2 - 3*k - 78. Let r(m) = 26*c(m) - 6*n(m). Calculate b(r(i)). -5344*i**4 Let q(t) = -11775 + 8*t**2 - 11781 + 23520. Let y(z) = -z. Calculate y(q(d)). -8*d**2 + 36 Let j(l) = -218051*l. Let o(t) = -28*t**2. Give o(j(a)). -1331294680828*a**2 Let f(t) = -563*t - 568*t + 1150*t. Let z(w) = 19*w. Determine z(f(i)). 361*i Let p(g) = -2*g**2 - g + g. Let j = -290 - -292. Let f(d) = -195*d + 195*d - 21*d**j. Calculate f(p(k)). -84*k**4 Let w(r) be the second derivative of r**3/3 - 5*r. Suppose 33*a - 41*a + 264 = 0. Let i(c) = -a*c - 21 + 40 - 19. Calculate w(i(j)). -66*j Let k(r) = -2*r. Suppose 0 = -28*y + 5*y + 69. Let t(w) = 23 + 18*w - 3*w - 5*w - 10*w + y*w**2. Calculate t(k(u)). 12*u**2 + 23 Let o(c) = -2*c**2. Let r(x) = -129497*x**2. Calculate r(o(g)). -517988*g**4 Let r(z) = z**2 + 5108. Let g(b) = -3*b + 28. Calculate r(g(f)). 9*f**2 - 168*f + 5892 Let f(a) = 14*a**2 - 2*a. Let z(v) = -264*v - 44. Let c(o) = 35*o + 6. Let i(p) = 22*c(p) + 3*z(p). What is i(f(h))? -308*h**2 + 44*h Let r(n) = 12*n. Let d(i) = 3*i - 15*i + 3*i + 8*i. Let w(j) = d(j) + r(j). Let k(y) = 7*y**2. Calculate k(w(f)). 847*f**2 Let c(p) = p**2 + 5*p - 294. Let m(l) = 25*l**2. Give c(m(d)). 625*d**4 + 125*d**2 - 294 Let v(h) be the second derivative of -h**6/36 - 70*h**3/3 - h + 140. Let i(w) be the second derivative of v(w). Let t(z) = -z**2 - 8*z. Calculate i(t(f)). -10*f**4 - 160*f**3 - 640*f**2 Let x(z) be the second derivative of z**4/6 - 77*z**2/2 - 217*z. Let b(d) be the first derivative of x(d). Let j(h) = -5*h - 2. Determine j(b(s)). -20*s - 2 Let t(j) = -324*j**2. Let n(b) = -75264*b**2. Calculate t(n(f)). -1835352981504*f**4 Let z(j) = 2*j**2 + 3*j + 9. Let n(y) = -y**2 - 3*y - 9. Let o(t) = -2*n(t) - 2*z(t). Let c(f) = 1252*f**2. Calculate c(o(v)). 5008*v**4 Suppose 4*w - 9 = -5. Let k be (4/7)/(w/(-21)*-6). Let a(x) = x - 9*x**2 - x + k*x**2. Let f(n) = -n**2. Give f(a(i)). -49*i**4 Let f(q) = q. Let b(i) = -280*i**2 + 5877*i. What is b(f(l))? -280*l**2 + 5877*l Let n(f) = -44*f**2. Let z be (-2)/6 + (-22)/6 + 398. Let o(s) = -3*s**2 + 394 - z. Give n(o(c)). -396*c**4 Let z(h) = -153*h**2 + 34. Let w(g) = 19*g**2 - 4. Let t(y) = 17*w(y) + 2*z(y). Let b(u) = 3*u + 2. What is t(b(x))? 153*x**2 + 204*x + 68 Let i(d) = 24 - 6 - 7 - 6 - 6 - 4*d. Let j(r) = 2*r. Determine j(i(p)). -8*p - 2 Let s(y) = y**2. Let k(t) be the second derivative of -1163*t**3/3 + 2549*t. Determine k(s(d)). -2326*d**2 Let l(f) = 2*f + 1192. Let g(c) = -2*c**2 - 1650561*c + 1650561*c. Determine l(g(n)). -4*n**2 + 1192 Let b(y) be the second derivative of -8*y**4/3 - 269*y. Let g(d) = -589*d + 1189*d - 597*d. Calculate g(b(a)). -96*a**2 Let g(z) = 2*z**2. Suppose -4*c = -m + 8, 2 = -m - c - 0. Let i(h) = -2*h**2 - h + 28. Let x be i(m). Let r(v) = -29*v - 20*v + x*v. Determine r(g(d)). -42*d**2 Let c(l) = 4*l. Let b(y) = -11463*y**2 + 11*y - 3. Calculate c(b(r)). -45852*r**2 + 44*r - 12 Let w(v) = -183*v. Let l(o) = 8*o**2 - 41502*o. Give w(l(u)). -1464*u**2 + 7594866*u Let b(z) = -13287*z + 6635*z + 6662*z. Let f(k) = -529*k**2. What is b(f(r))? -5290*r**2 Let q(v) = -23*v + 1. Let m(l) = -l**2 + 2*l - 10. Let h(r) = 18*r**2 - 39*r + 195. Let a(t) = 2*h(t) + 39*m(t). Determine q(a(i)). 69*i**2 + 1 Let w(n) = -59*n - 96. Let b(k) = 19*k + 36. Let m(j) = 8*b(j) + 3*w(j). Let l(s) = 35*s. Determine l(m(r)). -875*r Let z(o) = -21*o. Let f(u) be the third derivative of 15*u**2 + 0*u + 1/12*u**4 + 0 + 0*u**3. Let r(k) = -22*f(k) - 2*z(k). Let p(s) = 4*s**2. Give p(r(m)). 16*m**2 Let z(d) = -2*d. Let m(a) = 407946327*a. Determine z(m(l)). -815892654*l Let r(z) = 6*z**2. Let a(c) = -c**2 - 20*c - 41. Let f be a(-17). Suppose 3*x + 4 = f. Let i(q) = -q**2 - 4*q**2 + 7*q**x. Calculate i(r(p)). 72*p**4 Let x(l) = -l - 32. Let d(c) = -11*c + 22*c - 529 + 529 - 17*c. Determine d(x(s)). 6*s + 192 Let l(b) = -2*b. Suppose -116 = 2*h - 2*z - 158, -h - 2*z = -15. Let v(a) be the first derivative of -h + 0*a + 11/3*a**3 + 0*a**2. Give v(l(d)). 44*d**2 Let i(a) be the third derivative of -19*a**4/24 + 16*a**2 + 7. Let r(f) be the first derivative of -4*f**3/3 - 4. What is i(r(d))? 76*d**2 Let a(u) = 2*u**2 - 1052198*u. Let l(b) = -18*b. Calculate l(a(h)). -36*h**2 + 18939564*h Suppose -3*l - c + 63 = 3, -4*l = 3*c - 80. Let j(o) = -l + 1987*o - o**2 - 1987*o. Let n(g) = 2*g**2. Determine n(j(w)). 2*w**4 + 80*w**2 + 800 Let o(q) = -8*q + 4. Let w(j) = j - 1. Let x(f) = -o(f) - 4*w(f). Let a be 12/(-12) + 6 + 1*20. Let d(c) = -15*c**2 + a*c**2 - 7*c**2. Calculate x(d(b)). 12*b**2 Let y(x) = -3*x**2 - 8*x. Let t(c) be the first derivative of 2*c**3/3 + 5*c**2/2 - 152. Let z(q) = 8*t(q) + 5*y(q). Let a(b) = 13*b**2 - b. Calculate a(z(g)). 13*g**4 - g**2 Let t(w) = -3*w. Let q(o) = -o**2 - 3*o + 40. Let u be q(-7). Suppose -u*m = -27 + 3. Let d(b) = 7*b + 6*b**m - 7*b - 4*b**2. Give d(t(a)). 18*a**2 Let u(n) = 12*n**2 - 133870*n - 18*n**2 + 133870*n. Let z(q) = -3*q - 36. What is u(z(h))? -54*h**2 - 1296*h - 7776 Let s be (-4 + (-26)/(-4))/(2/4). Let a(j) = -10*j**2 + 3*j**2 + s*j**2. Let t(f) be the first derivative of 7*f**2 + 32. Calculate a(t(q)). -392*q**2 Let t(v) = 14*v**2 - 25*v**2 + 3*v**2 + 4 + 1 + 8*v. Let p(q) = 2*q**2 - q - 1. Let y(w) = 5*p(w) + t(w). Let a(n) = 3*n. What is a(y(f))? 6*f**2 + 9*f Let q = 16 + -2. Let u(r) = 258 - q*r - 138 - 120. Let t(z) = -13*z**2. Determine u(t(l)). 182*l**2 Let i be (-64)/(-34) - (-2)/17. Let t(q) = 9*q**2 + 4*q**2 + 11*q**2 - 2*q**i. Let z(p) be the third derivative of p**4/24 - 58*p**2. Determine z(t(g)). 22*g**2 Let p(n) be the first derivative of 2*n**3/3 + 876. Let k(z) = 585*z. What is p(k(y))? 684450*y**2 Let u(x) be the third derivative of x**4/24 - x**2. Let j(b) = -2*b. Let i(l) = 9 + 4102*l - 9 - 4219*l. Let t(k) = i(k) - 54*j(k). Calculate t(u(a)). -9*a Let v(l) = -l**2 + 5851. Let b(i) = -2863*i. Calculate b(v(p)). 2863*p**2 - 16751413 Let k(n) = 0*n + 41*n + n - 31*n. Let x(f) = -124*f - 2. Give k(x(b)). -1364*b - 22 Suppose 4*g = -2*p + p + 33, p = g + 23. Let s(r) = 136*r**2 + p*r**2 - 47*r**2. Let k(i) = i**2. Calculate s(k(n)). 114*n**4 Suppose 2*u = -4, r + u - 5 + 0 = 0. Let j(k) = -4*k + r - 7. Let f(i) = 4*i + 24. Let a(t) = -t**2 - 10*t - 60. Let d(o) = -4*a(o) - 10*f(o). Give j(d(p)). -16*p**2 Let j(b) = 16*b. Let r(a) = 131466 - 131466 - 109*a. Calculate j(r(h)). -1744*h Let l(p) be the second derivative of p**3/3 + 2*p - 15. Let f(j) = -1085*j**2 + j. Calculate l(f(w)). -2170*w**2 + 2*w Let j(x) = -x**2 + 3*x. Let c(b) = 2*b**2 - 5*b. Let s(i) = -3*c(i) - 5*j(i). Let l(k) = 5500*k - 11020*k - 55*k**2 + 5520*k. Determine l(s(y)). -55*y**4 Let r(z) = 11249175*z. Let l(j) = -j. Give l(r(f)). -11249175*f Let v(z) = 8*z**2. Let o(a) = -a**2. Let j be 1 - 35/7 - -12. Let q(r) = -3 - 10*r**2 + 3 + 2*r**2. Let x(m) = j*o(m) - 2*q(m). Determine x(v(i)). 512*i**4 Let k(c) = c - 147. Let t(n) = 20*n**2 - 14*n + 6. Let i(y) = -62*y**2 + 49*y - 21. Let v(f) = -2*i(f) - 7*t(f). Calculate k(v(j)). -
{ "pile_set_name": "DM Mathematics" }
- 2*sqrt(242) - sqrt(2)))**2. -7*sqrt(11)/18 + 63515/1296 Simplify 4 + 6*5*(sqrt(1331)*3)**2*-1. -359366 Simplify (2 + -3 + sqrt(2057) + 1)*-1*-1. 11*sqrt(17) Simplify -5*((sqrt(13) - (sqrt(13) - (sqrt(13) + (sqrt(832)*-5 - sqrt(13))))) + sqrt(637) + 4 + sqrt(13)). -20 + 160*sqrt(13) Simplify -5*((sqrt(800) + (sqrt(800) + 1 - sqrt(800)))*2 + 3*(-1 + sqrt(800)))**2*-5. -5000*sqrt(2) + 500025 Simplify (((sqrt(84)*-1 + sqrt(84) - sqrt(84)) + sqrt(84))*-1)/(sqrt(48)*4 + sqrt(12)) + -1*sqrt(2268)*2. -36*sqrt(7) Simplify 6*-4*(sqrt(272) + 0)**2 + -3. -6531 Simplify (2 + -3*-2*(sqrt(320) + -3*sqrt(320))*-3)**2. 1152*sqrt(5) + 414724 Simplify ((sqrt(190) - sqrt(190)*-3*3) + sqrt(190))/(sqrt(120)/(sqrt(12)*2)). 22*sqrt(19) Simplify -5*sqrt(22)/(sqrt(55)/sqrt(5)) - (sqrt(72)/sqrt(3)*-6)/sqrt(12). sqrt(2) Simplify (3 + (-1*sqrt(3) + sqrt(3))*-2 + (sqrt(192) + 1 - sqrt(3))*3)**2. 252*sqrt(3) + 1359 Simplify ((sqrt(76)/(sqrt(16)/sqrt(4)) + sqrt(19))*6)**2*1 + 5. 2741 Simplify ((sqrt(104) + (1*sqrt(104) - sqrt(104)) + sqrt(104))*-1 - 3*(sqrt(104) + sqrt(104)*2 + sqrt(104)))/(6*sqrt(56)/(sqrt(7)*-1)). 7*sqrt(13)/3 Simplify ((sqrt(60)/(-1*sqrt(12)))**2 + -5)*-5 + sqrt(55)/((sqrt(121) - sqrt(121)*2)/sqrt(11)) + 0. -sqrt(5) Simplify (-3 + (sqrt(76)/sqrt(4)*4)**2 - ((sqrt(1539) + 1)*-2)**2)*4. -23436 - 288*sqrt(19) Simplify -5*(sqrt(12)/sqrt(4) + sqrt(3)) + (-1 + sqrt(3) + sqrt(3))*5 - (sqrt(36)*2)/sqrt(12)*-1. -5 + 2*sqrt(3) Simplify 5 + 2*((sqrt(110) + 5*(sqrt(110) - (-1*sqrt(110) + sqrt(110))))/sqrt(10) + sqrt(66)/(1*sqrt(486))). 5 + 110*sqrt(11)/9 Simplify (-2 + (-2 + sqrt(5808) + -2*sqrt(5808) - sqrt(5808)) + sqrt(5808)*4 + 1)**2. -528*sqrt(3) + 23241 Simplify -6*(-4 + sqrt(2057)*-2 - sqrt(2057))**2*-6. 9504*sqrt(17) + 667044 Simplify -5*(((sqrt(486)/sqrt(9) + sqrt(6))/(sqrt(8)/sqrt(36)))**2 + -5). -2135 Simplify (sqrt(850) + 2*sqrt(850) - sqrt(850) - sqrt(850))/(sqrt(98)*2). 5*sqrt(17)/14 Simplify (sqrt(847) - (sqrt(847) + 0 + -5))*-2 + (-6*-5*(sqrt(847) - (-1 + sqrt(847))))**2. 890 Simplify (sqrt(85) + sqrt(85) + (3*sqrt(85) + sqrt(85) - sqrt(85))*-5)/(sqrt(160)/sqrt(8)). -13*sqrt(17)/2 Simplify -5*-6*sqrt(51)/sqrt(3) - (sqrt(102) - -2*sqrt(102)*1)/sqrt(6). 27*sqrt(17) Simplify (1*2*-2*sqrt(1539)*-6*-5)**2. 22161600 Simplify ((-4*(sqrt(432) + 1 + sqrt(432)) + sqrt(432))**2 + 1*-1*sqrt(432) - (sqrt(432) + (sqrt(432) + 1 + sqrt(432))*-2)*-4)*6. 3096*sqrt(3) + 127056 Simplify ((sqrt(700)*2)**2 - sqrt(7)) + (-3*sqrt(700))**2 + -3*-1*1*sqrt(7)*1. 2*sqrt(7) + 9100 Simplify (((sqrt(90)*3)/sqrt(2) + sqrt(45) - sqrt(45))**2 - (3 + sqrt(500))) + -2. -10*sqrt(5) + 400 Simplify (sqrt(25)/(2*sqrt(5)) + -1*sqrt(500))**2 - (2 + 1*sqrt(605)). -11*sqrt(5) + 1797/4 Simplify -1 + ((sqrt(168)/(sqrt(7)*-1))/((2*sqrt(56))/sqrt(7)))**2*-4. -4 Simplify (-5*sqrt(100)/sqrt(4) + sqrt(900)*2 + sqrt(900))/(((sqrt(30)*2)/sqrt(6) - sqrt(5)) + sqrt(45)/(sqrt(27)/sqrt(3))). 13*sqrt(5)/2 Simplify 2*(sqrt(30)/sqrt(108))/((sqrt(5) + (sqrt(5) - sqrt(5)*-2))*3). sqrt(2)/36 Simplify (-2 + ((sqrt(112) + 0)*-3 + sqrt(112))*-5)**2. -160*sqrt(7) + 11204 Simplify -6*(sqrt(54)/sqrt(2)*-6 - 2*(sqrt(6)/sqrt(2) + -2))**2*1. -7296 + 960*sqrt(3) Simplify 6*sqrt(3)*-1 + -4 + sqrt(3) + 0 + 3 + (-1 + sqrt(3) - sqrt(3)) + 5. -5*sqrt(3) + 3 Simplify (((sqrt(140)*2)/sqrt(5) - (sqrt(7) + -2*sqrt(700))*-2)*-4)**2. 129472 Simplify 3*(5 + (2*(sqrt(102)*-1*4)/sqrt(6)*-4)**2). 52239 Simplify (sqrt(35)/sqrt(5)*5 - -5*(sqrt(35)/sqrt(5) + sqrt(7))) + -4. -4 + 15*sqrt(7) Simplify (-6*(3 + sqrt(2)))**2 + 4 + 2*sqrt(32)*6. 264*sqrt(2) + 400 Simplify ((sqrt(448) + -2*sqrt(448))*3)/(sqrt(64) - sqrt(64)*-1*2). -sqrt(7) Simplify 4*(-6*(3*(sqrt(720) + -2 + sqrt(720) + sqrt(720)) + sqrt(720) + 0))**2. -207360*sqrt(5) + 10373184 Simplify (-4*(-5*-3*sqrt(77) - sqrt(77)))/(-2*sqrt(891) - (sqrt(396) - (sqrt(396) - ((sqrt(396) - -2*sqrt(396)) + sqrt(396))))). 4*sqrt(7)/3 Simplify (-3*(sqrt(104) + -4*(3*sqrt(104) + sqrt(104) - sqrt(104) - sqrt(104))))/((sqrt(64) + sqrt(64)*1*-4)/sqrt(8)). -7*sqrt(13) Simplify (((1 + sqrt(117) - sqrt(117)) + 5)**2 + sqrt(117) + -4*sqrt(117) + 5)*5 + 5. -45*sqrt(13) + 210 Simplify -3*(5*sqrt(84)/(sqrt(24)/sqrt(2))*-1)**2. -525 Simplify sqrt(11) + -2 + -2 + -3 + ((sqrt(1100) - (sqrt(1100) + -4)) + -4)**2. -7 + sqrt(11) Simplify -3*(sqrt(45) + sqrt(180)/sqrt(4) + 4 + (2*sqrt(540))/sqrt(12) + sqrt(45))**2*-4. 1440*sqrt(5) + 13692 Simplify (-4*(5 + 0 + sqrt(1008) + -2)*-2)**2. 4608*sqrt(7) + 65088 Simplify 4*sqrt(51)/sqrt(3) - -1*(sqrt(68)/sqrt(4) + sqrt(17)) - sqrt(170)/(sqrt(10)*1*-5). 31*sqrt(17)/5 Simplify -5 + (-6*(sqrt(1053) - 2*sqrt(1053)) + (sqrt(1053) - (0 + sqrt(1053)))*-1 + 2 + 5*-1*sqrt(1053))**2. 36*sqrt(13) + 1052 Simplify ((6*sqrt(640) + sqrt(40))/(sqrt(784)/sqrt(2)) + 3)**2. 150*sqrt(5)/7 + 3566/49 Simplify ((sqrt(612) - (sqrt(612) + -5*(sqrt(612) + -4) + sqrt(612)))**2 + (3 + 3 + sqrt(612) + sqrt(612))**2)*-5. -63380 + 4080*sqrt(17) Simplify ((sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77)*2)*5 - sqrt(77))*3)/(sqrt(28)/(2*sqrt(4))*1). -150*sqrt(11) Simplify (5 + -4*(1*sqrt(136)*6)/((sqrt(48)*-2)/sqrt(6)))**2. 120*sqrt(17) + 2473 Simplify (-6*sqrt(1331)*2 - (0 + 2*sqrt(1331))**2)*2. -10648 - 264*sqrt(11) Simplify sqrt(336)/(-2*sqrt(12)) - 2*sqrt(112) - (sqrt(28)*-2*4 - (-3 + sqrt(252)))**2. -3397 + 123*sqrt(7) Simplify (0 + 0 + sqrt(1280) + 0 + 4)**2. 128*sqrt(5) + 1296 Simplify (sqrt(700) - 4*(sqrt(700) + 2 + sqrt(700)) - (sqrt(700) + 1 + -2))**2. 1120*sqrt(7) + 44849 Simplify ((-1*sqrt(48))/sqrt(4))/((sqrt(432)/sqrt(12))/sqrt(9)). -sqrt(3) Simplify (2*sqrt(99) + 5 - (4 + 2*sqrt(11)*-5))**2. 32*sqrt(11) + 2817 Simplify ((sqrt(208))**2*-6 - sqrt(117)/(sqrt(9)*-2))*2 - (((-2*sqrt(1300))**2 - sqrt(143)/sqrt(176)) + -3). -7693 + 5*sqrt(13)/4 Simplify ((sqrt(1331) + sqrt(1331) + 0 + 0)*1*2 + -1)**2. -88*sqrt(11) + 21297 Simplify -6*(sqrt(26) - (sqrt(2600) - (sqrt(2600) + 4*sqrt(2600))))/sqrt(2) + 3. -246*sqrt(13) + 3 Simplify 3 + -1 + -2 + (sqrt(13) - (sqrt(117)*-1)**2). -117 + sqrt(13) Simplify (-3*-2*sqrt(576))/((sqrt(96)*-2 - sqrt(96))/sqrt(8)*5). -8*sqrt(3)/5 Simplify (sqrt(315)/sqrt(5))**2 + sqrt(7) + sqrt(252) + 1 + sqrt(252) + ((sqrt(126) - 1*sqrt(126) - sqrt(126)) + sqrt(14))/sqrt(2). 11*sqrt(7) + 64 Simplify 1 + (3*(sqrt(931) + sqrt(931)*2) + (sqrt(931) + (sqrt(931) - (sqrt(931) + 1)))*-1)**2. 112*sqrt(19) + 59586 Simplify (((-1*sqrt(135))/sqrt(5) - (sqrt(27) - sqrt(27)*-2)*-6) + (sqrt(27) + sqrt(27) + sqrt(108)/sqrt(4)*-5 - -1*sqrt(27)*-6))**2*2. 3456 Simplify ((-2*sqrt(39)/sqrt(3) - (-1*sqrt(13) + -5)) + -2)*6 + -1. -6*sqrt(13) + 17 Simplify (3*(-1 + ((sqrt(170) - 6*sqrt(170)*-2) + sqrt(170))/(sqrt(10) - 5*1*sqrt(10))))**2. 63*sqrt(17) + 7533/4 Simplify (-3*(4 + (sqrt(304) - (sqrt(304) + -1)) - sqrt(304)*-2*5))**2. 3600*sqrt(19) + 273825 Simplify (1*sqrt(85)*-6 + 1*sqrt(85)*2)/(sqrt(30)/(sqrt(600) + sqrt(24) + sqrt(24))). -56*sqrt(17) Simplify (1*(4 + 3*sqrt(325) + sqrt(325) + (sqrt(325) - (3 + sqrt(325) - sqrt(325)))*2) + -5)**2. -420*sqrt(13) + 11749 Simplify 1*(2*(sqrt(425) + 1) + (0 + sqrt(425) + (sqrt(425) - (4*sqrt(425) + sqrt(425))) - sqrt(425)))**2. -40*sqrt(17) + 1704 Simplify (4*-2*sqrt(119))/(-1*sqrt(28)) + 2. 2 + 4*sqrt(17) Simplify (sqrt(1500)*1)/sqrt(3) - (3 + sqrt(5) + sqrt(20))*6. -18 - 8*sqrt(5) Simplify (-5 + (sqrt(637) - 2*sqrt(637)) + sqrt(637) - 6*(sqrt(637) + -1) - ((1 + sqrt(637))*-5 + sqrt(637) - (sqrt(637) + 0)*-1))**2. -252*sqrt(13) + 5769 Simplify (6*(-1 + 5 + (sqrt(448) - (sqrt(448)*2 + sqrt(448))) + 5))**2. -10368*sqrt(7) + 67428 Simplify (6*sqrt(150))/(sqrt(2) - (sqrt(22)*5 + sqrt(22))/sqrt(11)). -6*sqrt(3) Simplify ((sqrt(1900) - (-1 + sqrt(1900) + -4 + sqrt(1900))) + 4*-3*sqrt(1900))**2. -1300*sqrt(19) + 321125 Simplify (sqrt(224)/sqrt(128) + sqrt(28) + -2*sqrt(28)*2)/(sqrt(36) + sqrt(900) + (2*sqrt(100) - sqrt(100))). -11*sqrt(7)/92 Simplify (sqrt(117) + 4*sqrt(117)*-3)/((-3*sqrt(99))/sqrt(11)). 11*sqrt(13)/3 Simplify 5 + (sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - -3*sqrt(84)*-2))) + sqrt(84) + sqrt(84)*1*3)/(-2*sqrt(6912)). -5*sqrt(7)/24 + 5 Simplify ((sqrt(30) + -3*((sqrt(30) + 1*sqrt(30) + sqrt(30) - sqrt(30)) + sqrt(30) - sqrt(30)))/(sqrt(24)*1) + -2 + 3)*-1. -1 + 5*sqrt(5)/2 Simplify -2 + ((-4*(sqrt(875)*-2 - sqrt(875)))/((sqrt(
{ "pile_set_name": "DM Mathematics" }
te 3/48 - (-21735)/1680. 13 Evaluate (-64)/(-8) - (-280)/(-32). -3/4 What is ((-3666)/3713 + 2/2)*-2? -2/79 What is (1 + 35)*20/30? 24 Calculate (-1)/2 + (-40)/(2080/(-702)). 13 (-2)/(-4)*(-388)/3007 -2/31 What is the value of (-35)/3710*(2 - 6)*1? 2/53 Calculate (-2)/((70/(-10))/(-7)*1). -2 What is the value of 1027/65 + -6 + (-30)/3? -1/5 Calculate ((-1547)/65 + 23)/(-2). 2/5 Calculate (17/68)/(-5 + -8 + 7928/608). 19/3 4 + (1218/63 - 26) -8/3 What is the value of 9/(-18)*12*(-26)/(-663)? -4/17 Calculate ((-63)/252)/(6/(-16))*(-9)/(-21). 2/7 What is the value of 16895/(-6510) - (-2)/21? -5/2 What is (-54)/(-63)*126/(-486)? -2/9 Calculate 1892/121 + 164/451. 16 Calculate (-252)/(-546)*(-1664)/480. -8/5 Evaluate (0 - 13) + (10 + 1 - 6). -8 What is the value of (-106)/8 + (-453)/604? -14 What is the value of 9/12 - (-897)/(-1092)? -1/14 Evaluate (167/(-15) + 11)/(-4*(-5)/(-400)). 8/3 What is the value of (-162)/(-11) + (-16 - -1)? -3/11 (-271907)/14987 + 1 + 17 -1/7 Evaluate (270/20 - 21) + 6. -3/2 What is the value of ((-2)/(2/3))/((-3251)/(-22757))? -21 What is 64/(-144) + (2 - (786/54 + -4))? -9 What is ((-74340)/(-220))/(-21) - 2/(-22)? -16 What is the value of (59488/19968)/((-6)/(-4)) - 4/2? -1/72 -8*(6 + (-9 - (-385)/126)) -4/9 Evaluate (-2840)/135 - (-36 + 15). -1/27 Calculate 12 + 7 - (16 - 13). 16 What is -2 - -5 - ((-11040)/416 - -30)? -6/13 What is the value of 10192/44352 + 6/297? 1/4 Evaluate ((1/(-6) - 185/222) + 3)/39. 2/39 What is 3033/(-337) + (1/60)/(2/1083)? 1/40 Calculate 775/37 + (301 - 322). -2/37 Evaluate -8*(0 + -1) + 26274/(-3171). -2/7 Calculate (21/(-19845)*15)/((-1)/3*1). 1/21 Calculate (36 + (-7566)/208)/((-2)/(-4)). -3/4 What is the value of (-28)/16 + (-72)/96? -5/2 What is (-9 - -33 - 2) + -17 + 9? 14 What is the value of 1/(11/(429/(-52))*6/4)? -1/2 Calculate (21296/252)/11 + -9 - (-3)/(-27). -10/7 Evaluate ((-3)/7 + (-152)/(-224))*(-24)/(-81). 2/27 Evaluate (192/138)/((-116)/(-1334)). 16 What is (-11)/(28/(-6)*-3) - (-32)/112? -1/2 Calculate (13/8)/(606/1616). 13/3 Calculate ((-49)/(-21) - 2 - -1)*(-26)/104. -1/3 Evaluate (-10246)/(-37278) + (-4)/18. 1/19 21/(-1071)*17*18/4 -3/2 (-2684)/(-132) + -35 - -12 -8/3 What is the value of (-14)/133 - 356/228? -5/3 What is the value of 141/513 - (-10)/(-190)? 2/9 What is ((-30)/70)/(((-462)/49)/11)? 1/2 What is the value of (924/(-126))/((-6)/9)? 11 What is (-8733)/994 - (-50)/(-70)? -19/2 What is 25/25*(-1 - (-3 - 104/(-36)))? -8/9 Evaluate 22/110 + (-8)/(480/(-508)). 26/3 Calculate (-8370)/(-2232) + (-7)/4. 2 What is (-3)/12 - 70/(-120)? 1/3 What is 1 + 15 + (491 - 538)? -31 Evaluate 8 - 6/36*-6. 9 What is 7810/275 + -28 - (-1 + 174/135)? 1/9 Calculate (-57)/76*(-2 + 6/1). -3 Calculate 4 + 78/(-15) - 10/200*16. -2 What is ((-988)/(-475) + 14/(-175))*(-21)/(-2)? 21 1 + 294*(-12)/(-135) - (-174)/(-1305) 27 Evaluate 2/((-3 + (-5)/(-3))/((-962)/(-111))). -13 What is 246/(-510) - ((-2)/6)/((-102)/36)? -3/5 What is -15*((-10)/4)/(132/(-88))? -25 What is 234/1026 + ((-65)/15 - -4)? -2/19 (16 - (-49640)/(-3120)) + (-15)/(-18) 12/13 What is the value of ((-102)/21)/((-370)/(-111)*(-12)/(-140))? -17 What is ((-26)/((-8008)/(-66)))/((-27)/(-12))? -2/21 What is -2*(78/8)/(252/56)? -13/3 What is the value of (0 - 0)*4*((-7)/8 - -1)? 0 What is 3*28/((-6664)/(-170))? 15/7 9 - ((15 - (-1888)/(-128)) + (-25)/(-4)) 5/2 Calculate ((-496)/72 - -6)*3/(-10). 4/15 What is the value of (-12)/20 - (-3)/(660/52)? -4/11 Calculate (133/57)/((-31)/465). -35 319/385 + (-150)/105 -3/5 What is ((-2812)/(-18810) + 4/(-18))/(12/10)? -2/33 What is (-15 - -6 - -12)/(236/(-56) + 4)? -14 ((-6)/(-4))/(11 - 664/32) -2/13 Calculate 1025/(-60) + 20 - 3. -1/12 Calculate 242028/(-670059) + (-6)/(-26). -3/23 Calculate 17 - 2/18*12038/78. -4/27 Calculate 80/60*336/320. 7/5 What is the value of (82/3 - -1)*(-954)/(-1590)? 17 What is 14 - -3 - (-32 + 49)? 0 Calculate -1 + (-85)/((-6375)/72). -1/25 What is the value of ((-1)/(-3))/(69136/(-720) + 96)? -15 Evaluate (-2 - 4 - (1 - 16/12))*3. -17 Evaluate (-92)/(-253) - 318/(-33). 10 Evaluate 31/(-3) + (-128)/192. -11 (-235)/(-225) + -12*(-16)/(-320) 4/9 What is the value of ((-162)/(-810))/((-2)/(-70))? 7 Calculate (188/38 - 5)*(-6 + 7). -1/19 Calculate ((-25)/40)/((-676)/96 + 7). 15 What is the value of (133/(-57))/(0 + (-3)/9) - 21? -14 Calculate 0 - -9 - 80/5. -7 Calculate (255/(-40) - -6) + 904/2752. -2/43 What is (-5)/2*(-432)/(-450)? -12/5 Evaluate ((-7)/28)/(2/8) + 8 + 5. 12 What is the value of (-6 - (-19)/3)*9? 3 What is (39/24)/(273/2184)? 13 Calculate (-48)/520*-26*(-3)/(-3*8). 3/10 Evaluate (-424)/60 + -1 + (-1)/(-15). -8 What is the value of (12 - (3 + 6))/(1 - 2)? -3 Evaluate (388/1455)/((-3)/(-5)). 4/9 Evaluate (14 - 9) + ((-20)/(-4) - (-2 - -1)). 11 706/8825 + 498*(-2)/(-50) 20 What is the value of ((-3)/(-27))/(59/(-8083)) - -15? -2/9 -2*55/30*-3 11 (-645)/301 + (-12)/14 -3 Calculate 6/8 + -9*925/1332. -11/2 Calculate 1/((-2)/1 + (-8 - 348/(-36))). -3 352/(-2310)*-30 + 1 + -5 4/7 Evaluate 15 - 10864/800 - (-2)/25. 3/2 Calculate 21/18*((-2456)/280 + 9). 4/15 ((-4216)/(-7378))/(-3*(-2)/126) 12 What is ((-667)/(-116))/(3 + (-22)/8)? 23 Calculate 6/9*(-75)/(-50)*-7. -7 Calculate (96/112)/((-71)/(-994)). 12 What is (-2 + 740/350)/((-32)/(-10) - 3)? 4/7 ((-1 - 1) + (-133 - -21))*(-46)/276 19 What is the value of (4625/(-1850))/(1/((-156)/15))? 26 Calculate -2*(-36)/24 - (5 + -1 + 1). -2 Evaluate 1/(5/70*119). 2/17 Calculate 6/(-1) + (-4108)/316. -19 Evaluate (-192)/(-9696) + 9135/2828. 13/4 Calculate (218/140 - 1/(-2)) + 738/5166. 11/5 Calculate 10 + -1 + (-5)/4*408/(-170). 12 ((-3)/12)/(91773/(-1836) - -50) -17 (-304)/(-57)*75/50 8 -2*(-81)/24 - 21/224*8 6 What is the value of 33 - 3164/56 - (-2)/(-4)? -24 What is the value of (-11 + 17 - (2 - -7))*(-4)/(-15)? -4/5 What is 40/45*(-5)/(90/(-27))? 4/3 What is the value of ((-2668)/(-2093) - 1) + 3/(-7)? -2/13 Evaluate (-4)/6*(-615)/8405. 2/41 Evaluate (-912)/(-640)*(-15)/(-81) - (-3)/(-8). -1/9 What is (-3)/(-3) + (-1 + -5 + -1)/8? 1/8 Evaluate 12 + 24*((-65)/52)/1. -18 Calculate -1*(-1)/5 + (-231240)/172200. -8/7 What is the value of ((-13)/8)/(112/(-896))? 13 What is ((-90)/20)/((26550/(-20))/5)? 1/59 Evaluate (-4472)/1144 - (-96)/(-88). -5 Evaluate (-1*13/((-1040)/(-32)))/((-2)/(-20)). -4 36 + 2570/(-60) + (-9 - -1)/(-1) 7/6 4 - -1 - (-12)/(-8)*-4 11 What is the value of -11 - (8 - -52)/(-15)? -7 693/(-126)*50/(-55) 5 Evaluate ((-5)/10)/(-23 - 23568/(-1024)). -32 What is 25 - 444/(300/25)? -12 (-38 + 33 - 19) + 38 14 -2*(-18)/(-252)*-49 7 (-49617)/(-13410) + 11/(-5) 3/2 Evaluate (-5 - (-5 - -1))*((-16)/(-18))/8. -1/9 What is 14/(-581) + (-16716)/174300? -3/25 (12 - 1) + (11 - 16)/(5/21) -10 What is (-4)/19*(-852)/1136? 3/19 Evaluate 8073/(-1794)*4/(-9). 2 Evaluate (-26)/91*(-672)/544. 6/17 Calculate 1/9 + (-1535)/(-765) + (-1070)/9095. 2 Calculate (2160/(-3240))/((-76)/39 + 2). -13 What is the value of -8 - ((-12240)/2070 - 2/23)? -2 (-56)/765 + (-350)/7875 -2/17 Calculate ((5110/105)/73)/((-1)/(-24)). 16 60/4 + -16 - 4*(-72)/416 -4/13 Calculate 0 + (-2)/(-4) + 3210/300 + -10. 6/5 (5/(-180)*1)/((-110)/440) 1/9 What is (-14)/(-77) - 580/44 - 16? -29 What is (-2)/3 - -10*(-27)/(-450)? -1/15 What is the value of (-15 + 33 - 17)/((-1)/(-8))? 8 Evaluate (-2 - 12)/(-16 + 0 + 15). 14 -16*16/(-128) + 3/((-3)/4) -2 What is -16*(3993/308 - 13)? 4/7 What is the value of -1*(-104)/(-24) + 188/(-12)? -20 What is (1*(-7)/28)/(21/56)? -2/3 (110/143)/(10/52) 4 5166/984*16/7 12 Calculate (-3 + (-10184)/(-3384) - 0)*(-9)/(-2). 2/47 Evaluate 1/(22/70) + 1*(-38)/209. 3 Evaluate (-2 - (-2 - 1)) + (-1045)/(-38) + -29. -1/2 Evaluate ((-6)/28)/((-429)/12584)*(-7)/2. -22 What is 32 + -1 + 0 + 3839/(-349)? 20 What is the value of (-39)/(-65) + ((-973)/(-245) - 5)? -3/7 (-18)/(-20493)*-447 + 120/330 -2/69 (78/234)/((-35)/42) -2/5 (-60)/(-360) + 394/30 - 13 3/10 Evaluate (-216021)/9425 - 4/50. -23 What is ((-6)/(-9))/((-11)/3) - (-423)/(-396)? -5/4 What is the value of 0 + (-150)/25 + (-78)/(-15)? -4/5 ((-2)/6)/(-11*(-9)/5346) -18 Evaluate 2580/387*(-6)/(-5). 8 86 + -50 - (10/1 + -7) 33 What is the value of (38/(190/(-10)))/((-4)/18)? 9 Evaluate 1/((-6)/(-88)) - ((-350)/(-30))/(-35). 15 What is 444/12 + (-16 - -17)*-1? 36 What
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -1? (a) k (b) y (c) l a Let u be 5*(1 - 34/30). Let t = -881 - -883. Which is the nearest to u? (a) -0.4 (b) 1 (c) t a Let h(m) = 233*m + 2080. Let v be h(-9). What is the closest to -1 in v, -0.5, 13, 0.4? -0.5 Let j = -0.337 + 0.067. Let z = 0.41 + j. Let p = z - 0.14. Which is the closest to 2/3? (a) -0.1 (b) -5 (c) p c Let f = -39.2 + 39. Let a = 11 + -11.2. Let j be -2*(-1 - (-4)/(-30)*-5). What is the nearest to a in 1/5, j, f? f Let f = -0.2294 + 0.0294. Let n = -10 - -12. Let q = 1 + -5/4. What is the nearest to n in q, f, -2? f Let d be ((-2)/(-12))/(0 + -1). Let v = 15725 + -15727. Which is the closest to -2? (a) 25 (b) d (c) v c Let j = 59/480 - -1/96. Let k = -3630 - -3631. What is the nearest to 0.05 in j, k, -5? j Let w = 1.16319 + -0.86319. Let o = 5/2 + -1. What is the closest to w in o, 2/13, -0.4, -5? 2/13 Let b = -200 + 222. What is the nearest to 2 in -2, 2/11, -0.1, b? 2/11 Let u be (2 - 1)*(-222 + 218). Let s = -1 - -1.4. What is the nearest to 1/2 in 1, u, s? s Let i = 598 + -11360/19. Let k = -11 - -9.9. Let s = 1 + k. Which is the closest to 0? (a) s (b) -0.2 (c) i a Let j = -137.22 - -137.22. What is the nearest to j in -4, 0.3, -1/5, -0.1? -0.1 Let g = -555 + 573. Let i = 8 - 8. Which is the closest to i? (a) 3 (b) g (c) 1/2 c Let i be 13/26*(-3 + 100 + -3). Suppose i - 32 = 5*z, -z + 3 = 2*g. What is the closest to -2/5 in 2, 1, g? g Let i = -63.35 - -0.35. Let y = i + 63. Let l = 0.114 + 5.886. Which is the nearest to y? (a) 1/4 (b) l (c) -1/3 a Suppose 140 = 3*y - v, -2*y + 33 = -5*v - 69. Suppose 40 - y = -2*k. What is the nearest to k in 1/2, -13, -3? 1/2 Let f = 6982 + -7376. What is the closest to f in -0.4, 3, -0.1? -0.4 Let i = -1.471 + -0.829. Which is the closest to i? (a) -4 (b) -0.5 (c) 4 a Let t = 506 + -41. Let d = t - 465.5. What is the closest to 1/5 in 0.5, 4, 1, d? 0.5 Let n = 2.5 - 2.9. Let p = -27 - -48. Suppose 4*t + p = -t - 4*k, 2*k + 3 = 5*t. Which is the nearest to 0.1? (a) -0.5 (b) n (c) t b Let h = 167 + 29. Let x = h + -195.8. Let i be (-2)/(-6)*(3 + -2). Which is the closest to -1? (a) 2 (b) x (c) i b Let k = 3.597 - 3.577. Which is the nearest to -8? (a) 3 (b) -1/6 (c) k b Suppose 12*o = 10*o + 12. Let p be -4 + 10 + (-21)/o. What is the nearest to -2/7 in p, 5, -24/5? p Let y = 149 + -154. Let x = 164 - 117. Let h = -47.1 + x. Which is the closest to h? (a) 2/5 (b) 0.3 (c) y b Let v = -8 + 11. Suppose 0 = 12*p - 17*p + 2*u - 145, u + 49 = -2*p. What is the nearest to -0.2 in v, p, -1/5? -1/5 Let b(n) = -10*n**2 + 109*n + 271. Let w be b(13). What is the nearest to -5 in w, 8, -0.5, -3? -3 Let s = 1.022 - -10.978. What is the nearest to -4 in -2/3, s, -0.4? -2/3 Let v = -0.5469 - -0.0469. Let d = 20 - 20. What is the closest to d in -14/3, v, -1? v Suppose -3*t = 2*z - 10, -17*t + 5*z = -12*t - 25. Which is the closest to 0.1? (a) 5 (b) 759 (c) t c Let h = -1386 - -1390. What is the closest to 7/10 in 1/2, h, -2, -0.1? 1/2 Let h = 0.482 - -0.518. Which is the closest to h? (a) 4 (b) -4 (c) 3 (d) -0.3 d Let i = 0.3 + -0.4. Let s = 1 - 1. Let x = 3465 - 3464.5. Which is the closest to s? (a) 0.4 (b) i (c) x b Let p = -1048.5 - -1048. Which is the closest to -0.3? (a) 1/78 (b) p (c) 2/9 (d) 0.2 b Let d = -0.6 - -0.7. Let n = d - 0.6. Let t(j) = j**3 - 7*j**2 + 8*j + 17. Let x be t(4). Which is the closest to 1/3? (a) 4 (b) x (c) n b Let w = 52/5 - 54/5. Suppose 2*i = m - 0*m - 1, -m - 11 = i. What is the closest to 2 in -5, w, m? w Let i = -7323 + 7324. Let v = -44 + 265/6. What is the nearest to i in 2/11, 8, v? 2/11 Let y = -0.3 + -0.2. Let m = 5295.2 - 5296.9. Which is the nearest to 1/4? (a) -1/4 (b) y (c) m a Let w = -380 - -379.8. Suppose 27 = -6*r + 2*r - 3*t, -5*t + 19 = -4*r. What is the nearest to r in 4, 3/5, w? w Let n = 73.45 + -137.45. Which is the closest to 1/3? (a) 1 (b) 4 (c) n (d) -0.6 a Let w = 4032.2 + -4032. What is the nearest to 1/4 in 2, -3/7, w, 9/7? w Let n = -9174/5 + 1835. Which is the nearest to n? (a) 0.016 (b) 0 (c) -5 a Let w be ((-12)/(-4))/(15/2). Let s = -52 + 155. Let k = s - 99. What is the closest to k in w, 1, 1/4? 1 Let v be (-1 + -1)/(4/(-26)). Let h(u) = u**3 - 13*u**2 + 6. Let m be h(v). Let r be m/3 - (-7)/(-7). What is the nearest to r in 0.5, -9, -0.2? 0.5 Let a(x) = -6*x + 39. Let g be a(7). Let k = -141 - -143. Let h be (k - (-192)/(-99))/(1/3). What is the closest to -2 in h, g, -2/13? g Let k = -0.1 - 0.1. Let h(j) = j**2 - 7*j - 13. Let p be h(7). Let n = 59/4 + -175/12. Which is the nearest to 0? (a) p (b) n (c) k b Let d = 1485 + -1485.2. Let j = 0.46 - 0.76. What is the closest to j in -0.08, 5, d, -3? d Let k(s) = -9*s + 50. Let z be k(6). Let p be 2/(-3 - -1 - (-40)/30). What is the nearest to -1/3 in 0.5, z, 4, p? 0.5 Let x = 17.207 + -17.107. Let w be 1 + (-1)/((-10)/(-6)). What is the nearest to -1/3 in -0.04, w, -2, x? -0.04 Let f = 4681 + -4679. Which is the closest to 1.5? (a) 3/7 (b) -0.05 (c) f c Let v = 599934/23 - 26084. What is the closest to 1 in -3, 0, v, 1/45? v Let c = -58339618/103191 - -33346/59. Let o = c + -2/159. Let g = 28 + -29. What is the nearest to o in g, -0.3, -2? -0.3 Let v be -1 + ((-40)/(-10))/4. Let o be (-6 - v) + (-5 - -11). Which is the nearest to -5/3? (a) 2/9 (b) o (c) 0.5 b Let m = -166.9 - -163.9. Which is the nearest to 6? (a) 3/2 (b) 5/4 (c) m (d) 2 d Let y = 29.11 - 29.21. Let p = 0.3 + -0.1. Let l = 0.6 - -1.4. What is the nearest to 0 in p, l, y? y Let p = 24 - 29. Let i = -3/124 - 203/1860. Which is the nearest to -2? (a) i (b) 5 (c) p a Let k be (-2)/5*(-2)/(-4). Let w = -49.3 - -39. Let d = -10 - w. What is the nearest to 1 in -1/4, d, k? d Let p = 431 + -431. What is the nearest to p in 5/2, -0.5, -0.4? -0.4 Let k = 10 + -10. Let h = -11.1 - 21.3. Let d = -36.4 - h. What is the nearest to 0.04 in k, -3, d? k Let m = -388 + -21. Let i = -3275/8 - m. Let c = 0.3 + -0.2. What is the nearest to -4 in c, i, 3/2? i Let m be ((-4)/11)/((-674)/3707). Which is the closest to m? (a) 10 (b) 0.3 (c) 3/4 (d) -3 c Let a = -0.5 + 0.5. Let m be (14/(-6))/(6965/(-1194)). What is the closest to a in -0.2, -2, 0, m? 0 Let j = 3087 - 3087. What is the nearest to 2 in 0.3, j, 1.5, 0.5? 1.5 Let b be ((-9)/(-12))/((1830/16)/61). Let g = 2 - 1.9. What is the closest to g in b, 1/16, -5, 2/3? 1/16 Let z = -1.2 + 4.2. Let a = 21.78 - 21.78. What is the closest to 0.2 in a, z, -0.1? a Let r = -43.7099 + -0.0461. Let j = -0.244 + r. Which is the nearest to -2/3? (a) j (b) -1/2 (c) 0 b Let m be 30/(-8) + (-7)/28. Let u be (16/m)/(-4) - 36/45. What is the nearest to -10 in -2/7, u, -3? -3 Suppose 5 = 5*n + 20. Let a = 26 + -51/2. Let o = -132042 - -132042. What is the nearest to o in a, 0, n? 0 Suppose d = k + 772, -5*k - 1535 = 10*d - 12*d. Let h = -781 + d. Let r = 1 - -1. What is the nearest to r in -0.4, -1/9, h? -1/9 Let d = -29107 + 29105.7. Which is the nearest to 12? (a) -0.4 (b) -2 (c) d a Let v = -180 + 180.05. Let h = v + -0.55. What is the closest to -2 in h, 3/7, 0.5? h Suppose 0 = 127*t + 217 + 18 + 19. Let p = 8 - 11. Which is the nearest to 0.15? (a) 0.2 (b) p (c) -1/2 (d) t a Let o = -3865/2 - -1932. What is the nearest to -1/3 in o, -4, 1/8, 3? o Let t = -2940 - -2291.4. Let c = t - -649. What is the closest to -0.2 in c, -0.1, 0.5, -1/5? -1/5 Let r be 30/4*54/135. Let z = 62 - 61. What is the closest to 1 in -2, r, z? z Let l = -716/49 + 1481/98. What is the closest to -0.1 in 5, -0.2, l, -4/35? -4/35 Let j(k) = -k**2 + 38*k - 363. Let o be j(18). Which is the closest to -5? (a) 116 (b) -1/2 (c) o (d) -0.1 c Let w be ((-12)/(-153))/((-10)/15). Suppose -8 - 9 = 4*g - 3*f, g - 2*f - 2 = 0. Let u be 356/52 - g/52. What is the closest to 0 in u, 0, w? 0 Suppose -320*g + 56 = -313*g. Let x be ((-49)/(-42))/7 + (-4)/g. Let r = 0.8 + 0.2. Which is the closest to 1? (a) x (b) r (c) 9 b Let s = 1419 + -1418.7. Suppose 2*o + 18 = -4*o. What is the nearest to 0 in s, o, 4? s Let g be (3 + -22 - -21) + (-1)/(-4)*-3. Which is the nearest to 1? (a) -0.4 (b) -1 (c) g (d) -61 c Let f = -7.01 + 7. Let w = f - 2.99. Let j = -1.127 - -1.027. Which is the nearest to 2/3? (a) w (b) j
{ "pile_set_name": "DM Mathematics" }
2*t - 4. Let b(o) = 6*i(o) - 5*j(o). Give 9*b(x) + 4*y(x). -x**3 - 2*x**2 Let p(z) = 11*z**3 - 17*z**2 - 2*z. Let k(o) = -5*o**3 + 8*o**2 + o. Give 9*k(l) + 4*p(l). -l**3 + 4*l**2 + l Let z(b) = b**2 - 16*b + 20. Let i be z(15). Let g(j) = -6*j**2 + 2*j - 14. Let d(y) = -4*y**2 + y - 9. What is i*g(r) - 8*d(r)? 2*r**2 + 2*r + 2 Let j(r) = 4*r**2 + 3*r + 13. Let z(k) = -11*k**2 + 5*k + 4. Let m(b) = -4*b**2 + 2*b + 2. Let u(g) = -8*m(g) + 3*z(g). Calculate -2*j(w) - 7*u(w). -w**2 + w + 2 Let l(r) = -6*r**2 - 4*r + 1. Let i(g) = 0*g + 5*g + 5*g**2 + 2*g**2 - 1. Let u(w) = -2*w + 0*w + 1 - w. Let z be u(-1). Determine z*i(x) + 5*l(x). -2*x**2 + 1 Let m(o) be the second derivative of -2*o**2 - 1/3*o**3 + 0 + o. Let k(w) = -2*w - 3. Give 3*k(g) - 2*m(g). -2*g - 1 Let y(w) = -7*w**2 + 4*w - 8. Let q(l) = -6*l**2 + 3*l - 7. Determine -4*q(b) + 3*y(b). 3*b**2 + 4 Let v(w) = -2*w - 5. Let s(b) = 3*b + 6. Suppose 4*u - 4 - 16 = 0. Suppose u = -3*g + 8*g. Suppose 3 = -x - g. Give x*s(l) - 5*v(l). -2*l + 1 Let s(k) = 4*k**2 + 3*k - 3. Let c(p) = 4*p**2 + 2*p - 4. Calculate -3*c(y) + 4*s(y). 4*y**2 + 6*y Let a(y) = -8*y**3 + 2*y**2 - 8*y + 6. Let w(f) = 17*f**3 - 4*f**2 + 17*f - 13. Determine -13*a(g) - 6*w(g). 2*g**3 - 2*g**2 + 2*g Let p(s) = s**2 - 1. Let c(m) = 0*m**2 + 6 - 6*m**2 - m**2. Let n = -40 - -41. Calculate n*c(h) + 6*p(h). -h**2 Let l(s) = -2*s + 2. Let g(y) = -2*y - 1 - 2 + 5*y. Let v be (-2)/4 + (-49)/(-2). Suppose -4*u - 2*a = v + 12, a + 8 = -u. Determine u*l(t) - 6*g(t). 2*t - 2 Let v(i) = i**2 - i - 5. Let r(u) = -u. Let a(p) = 2*r(p) + v(p). Let h(q) = -3*q**2 + 4*q + 0*q**2 + 3*q + 11. What is -7*a(o) - 3*h(o)? 2*o**2 + 2 Suppose 5*n - 4*g - 3 = 0, -2*n - 2*n = g - 15. Let z(t) = 5*t - 2*t + 2*t + 4*t**2 - n*t**2. Let a(d) = -d**2 - 4*d. What is 5*a(o) + 4*z(o)? -o**2 Let h(z) = -11*z - 22. Let b(o) = -5*o - 11. Determine 13*b(x) - 6*h(x). x - 11 Let l(c) = c + 3. Suppose 2*b + 14 = -a + 2*a, 3*b = 2*a - 23. Let s(r) = -1. Give b*s(q) - 2*l(q). -2*q - 1 Let s(h) = 1. Let j(y) = -y**2 - 47. Calculate -j(o) - 2*s(o). o**2 + 45 Let a(v) = 7*v - 2*v - v - 5. Let r(l) = -2*l + 2. Let y(s) = s**3 + 10*s**2 + 9*s - 2. Let x be y(-9). Determine x*a(z) - 5*r(z). 2*z Let y(k) = 4*k. Let p(j) = -3*j + 4. Let x(s) = 7*s - 10. Let g(n) = -10*p(n) - 4*x(n). What is -10*g(t) + 4*y(t)? -4*t Let h(v) = 5*v**2 + 6*v - 1. Let k = -73 + 77. Let n(q) = 9*q**2 + 11*q - 2. Determine k*n(r) - 7*h(r). r**2 + 2*r - 1 Let i(g) = 5*g**2 + 4*g. Let q = -91 - -87. Let t(p) = 14*p**2 + 11*p. Calculate q*t(s) + 11*i(s). -s**2 Let i(v) = v**2 - 1. Let z(k) = 18*k - 2. Determine -3*i(l) + z(l). -3*l**2 + 18*l + 1 Let u(q) = 3 - 22*q**3 - 2*q + 46*q**3 + 3*q**2 - 21*q**3. Let k(a) = -3*a**3 - 2*a**2 + a - 2. Determine -3*k(m) - 2*u(m). 3*m**3 + m Let y(f) = 5*f**3 + 6. Let r be 5/7 - 12/(-42). Let o(x) = -5*x**2 + 5*x**2 + r + x**3. Suppose 0 = 2*i - i + 1. What is i*y(n) + 6*o(n)? n**3 Let o(i) = 19*i**3 + 13*i + 13. Let x(b) = 3*b**3 + 2*b + 2. Suppose 6*c = -15 - 21. What is c*o(q) + 39*x(q)? 3*q**3 Let m(g) = -20*g**2 + 8*g + 23. Let d(w) = 7*w**2 - 3*w - 8. Calculate 17*d(s) + 6*m(s). -s**2 - 3*s + 2 Suppose -4*y = -25 + 5. Let a(k) be the first derivative of 3*k**4/2 + k**2 - 4*k - 11. Let z(h) = -7*h**3 - 3*h + 5. Calculate y*a(r) + 4*z(r). 2*r**3 - 2*r Suppose -598 = -l - 597. Let i(b) = b. Let y(j) = 3*j**3 + 2 - 4*j - 2. What is l*y(p) + 4*i(p)? 3*p**3 Let p(t) = 8*t**2 - 9*t + 17. Let r(a) = 2*a**2 - 2*a + 4. Give 2*p(l) - 9*r(l). -2*l**2 - 2 Let g(w) = -2*w + 9. Let k be ((-1)/3 - 1)*3. Let b(m) = -11*m + 20. Let r = -2 - -10. Let s(h) = -4*h + 7. Let l(n) = r*s(n) - 3*b(n). Give k*g(u) - 9*l(u). -u Let j(d) = -5*d**2 + 3*d. Let l(t) = 9*t**2 - 5*t. Calculate 5*j(p) + 3*l(p). 2*p**2 Let j(y) = y - 1. Let u = -31 + 34. Let c(x) = 4*x - 2. Give u*j(h) - c(h). -h - 1 Let y = -16 - -34. Suppose 0 = -3*f + 6*f + y. Let r(g) = 4*g**2 - 13*g - 4. Let t(m) = 2*m**2 - 6*m - 2. Give f*r(b) + 13*t(b). 2*b**2 - 2 Let v(l) = 5*l**3 + 3*l + 5. Let r(o) be the second derivative of 0*o**4 + 0 + 1/2*o**3 + o + 3*o**2 + 3/10*o**5. Give 4*r(t) - 5*v(t). -t**3 - 3*t - 1 Let i(l) = -l. Let s = 38 + -40. Let q(w) = -w**2 + w + 1. What is s*i(n) - 2*q(n)? 2*n**2 - 2 Let r(g) = -g**3 - g**2 + g - 1. Let h(c) = 1. Determine -h(q) - r(q). q**3 + q**2 - q Let t(c) = 5*c**2 + c - 2. Let a be t(-2). Let d = -17 + a. Let y(p) = 6*p**3 + 5*p**2 + 5. Let r(b) = -b**3 - b**2 - 1. What is d*y(o) - 5*r(o)? -o**3 Let x(j) = 2*j**2 - 7*j + 7. Let h be x(4). Let b(p) = -6*p**2 - 4. Let l(k) = -17*k**2 - 11. What is h*b(z) - 4*l(z)? 2*z**2 Let s(q) = 0 - 1 + 3. Let v(u) = u + 11. Let w be (4/(-3))/2*-3. Let f = -14 + 3. Calculate f*s(m) + w*v(m). 2*m Let i(j) = 22*j + 1. Let h(k) = -7*k. Calculate 7*h(g) + 2*i(g). -5*g + 2 Let f(o) = -10*o**3 - 5*o**2 + 3*o + 2. Let a(g) = 31*g**3 + 14*g**2 - 8*g - 6. Determine 3*a(r) + 8*f(r). 13*r**3 + 2*r**2 - 2 Suppose -3*a - 4*f - 19 = -9*f, -4*a + f = -3. Let z(x) = x + 2. Let j(o) be the second derivative of -o**2/2 - o. Calculate a*j(v) + z(v). v Let p be ((-4)/(-6))/((-12)/18). Let z(c) = c**2 - c - 1. Let q(v) = 9*v**2 - 6*v - 6. Calculate p*q(a) + 6*z(a). -3*a**2 Let j(f) = -4*f**3 + 2*f**2 + 9*f - 5. Let p(c) = -2*c**3 - 5 + 3*c + c**2 + c + 3. Give 2*j(w) - 5*p(w). 2*w**3 - w**2 - 2*w Let p(c) = -3. Let x(f) = -f - 2. Let g(v) = 2*p(v) - 3*x(v). Let n(t) = -t**2 - t. Determine -g(m) - 3*n(m). 3*m**2 Let n(p) = p**3 - p - 1. Suppose 1 + 15 = -4*r. Let w(l) = -l**3 + 4*l + 4. Calculate r*n(c) - w(c). -3*c**3 Let p(f) = -9*f - 4 + 4 + 12*f. Let j(r) = -3*r. Calculate 4*j(m) + 3*p(m). -3*m Let c(y) = 7*y**2 + 7*y + 3. Let d(v) = 84*v**2 + 84*v + 35. Let h(k) = -35*c(k) + 3*d(k). Let f(s) = 10*s**2 + 10*s. What is 5*f(w) - 7*h(w)? w**2 + w Let k(z) = 4*z + 1. Let y(q) = -4 + 0 + 3 - 5 - 11*q. Let g(i) = -22*i - 11. Let j(u) = 4*g(u) - 7*y(u). Give -3*j(b) - 8*k(b). b - 2 Let w(d) = 4 - 9*d**3 - 7*d + d**2 + 3*d + 3*d**2 + 8*d. Let s(t) = -17*t**3 + 7*t**2 + 7*t + 7. Calculate 4*s(n) - 7*w(n). -5*n**3 Let i(g) = -8*g**2 + 5*g - 5. Let h(t) = 4*t**2 - 3*t + 3. Determine -10*h(z) - 6*i(z). 8*z**2 Let n(h) = -5*h + 3. Let c(i) = 4*i - 2. Determine 4*c(y) + 3*n(y). y + 1 Let u(y) = 8*y**3 + 3*y**2. Let c(d) = 15*d**3 + 7*d**2. What is -6*c(w) + 14*u(w)? 22*w**3 Let p(v) = -v**2 + v - 1. Let w(l) = l**2 + 2*l - 12. Determine 2*p(j) - w(j). -3*j**2 + 10 Let s(b) = 5*b + 1. Let v(r) = -3*r - 1. Determine 4*s(p) + 7*v(p). -p - 3 Let g(m) = 3*m - 11. Let x(z) = 2*z - 12. Give -3*g(p) + 2*x(p). -5*p + 9 Let t(b) = 5*b**3 + 11*b**2 - 11*b - 11. Let r(l) = -4*l**3 - 4*l**2 + 2*l + 4. Let k(a) = a**3 + a. Let w(h) = 2*k(h) + r(h). Give 4*t(v) + 11*w(v). -2*v**3 Let p(w) = -7*w**2. Let t(r) = 6*r**2. Give -2*p(a) - 3*t(a). -4*a**2 Let y(c) = c + 1. Let z(m) = 4 + m + m**2 + 0*m**2 - 3*m**2. Suppose 2*d - 6 = 6. Suppose 0 = 3*h + 4*a + d, -3*h = 2*a + a + 6. Give h*y(n) + z(n). -2*n**2 - n + 2 Let m(f) = 6*f**2 + 7*f - 5. Let j(q) = 13*q**2 + 14*q - 11. What is -4*j(l) + 9*m(l)? 2*l**2 + 7*l - 1 Let r(n) = 2*n**2 - 3*n + 1. Let m(f) = f**2 - f + 1. Suppose -3*p = -5*l - 0*p + 5, 0 = l + 3*p - 1. Give l*r(c) - m(c). c**2 - 2*c Let p(n) = 9*n - 4. Let v(q) = 260*q - 117. What is -117*p(b) + 4*v(b)? -13*b Let v(u) = 7*u**2 - 4*u + 2. Let j(o) = -6*o**2 + 3*o - 2. Suppose -2*a + 0*a + 4 = 0, -3*a - 54 = -4*y. Suppose 0 - y = -3*r. Calculate r*j(i) + 4*v(i). -2*i**2 - i - 2 Let b(w) be the first derivative of -21*w**2/2 - 27*w - 9. Let l(y) = -3*y - 4. Suppose -3*n + 11 = -4*g + 2*n, n = 5*g + 19. Calculate g*b(o) + 27*l(o). 3*o Let f be (-288)/45 + 2/5. Let q(u) = u**2 + 6*u - 6. Let d(y) = -y + 1. Let g(b) = f*d(b) - q(b). Let i(m) = -5*m**2 + 1. What is -4*g(x) + i(x)? -x**2 + 1 Let q(u) = u**2. Let l be 27/63 + 20/(-14). Let n(r) = -2*r**2 + 2*r. Calculate l*n(j) - 3*q(j). -j**2 - 2*j Let f(h) be the first derivative of -5*h**3/6 - 11*h**2/2 + 3*h + 2. Let x(k) be the first derivative of f(k). Let n(m) = -3*m - 6. Give 7*n(i) - 4*x(i). -i + 2 Let j(w) = -w - 3. Let n(i) = 4*i. Let r be n(1). Let f = 6 - r. Suppose -3*x - 16 = -0*h - 2*h, -f*x + 16 = 4*h. Let b(s) = 2*s + 7. Calculate h*j(l) + 2*b(l). -l - 1 Let c(j) = 1. Let x(t) = -2*t**3 + t**2 - 9*t - 6. What is
{ "pile_set_name": "DM Mathematics" }
(95 - 95 - 22*z)*(-3*z**3 + 4*z**2 + 4*z**3 - 3*z**2 - 3) in the form c*z**3 + y*z**2 + f*z + u*z**4 + d and give f. 66 Express (2 + 0 - 4)*(-16 + 12 + 9)*(-22*q + 13*q + 2*q) as a*q + d and give a. 70 Rearrange (-648 + 656 - 14*m - m)*(-7 - 12*m - 11*m + 21*m) to the form d*m + z*m**2 + u and give u. -56 Rearrange 41*z + 3*z**2 + 2 - 14*z - 17*z - 17*z + z**2 to s*z**2 + h + i*z and give h. 2 Rearrange -172*n - 438*n - 154*n + 101*n - 443*n + (0 - 5 + 3)*(-5*n + n + 3*n) to the form o*n + c and give o. -1104 Rearrange -4 - 85*b**3 + 266*b**3 - 68*b**3 to the form d + c*b + s*b**3 + v*b**2 and give d. -4 Express (-5*k - 5*k + 4*k)*(-27 - 26 + 0) + (-2 + 3 + 0)*(k + k - k) in the form b + t*k and give t. 319 Rearrange k - 89*k**3 - 111*k**3 + k**2 + 157*k**3 + k to q*k**2 + v*k**3 + z*k + t and give z. 2 Express k**4 + 6*k - 2392 - 12*k + 9*k**2 + 2393 in the form s*k**2 + p*k**4 + l*k + c + w*k**3 and give c. 1 Express -s**3 - 13*s**4 - s**2 - 4*s**2 + 9*s**2 - 7*s**3 as w*s + f*s**2 + d + x*s**3 + y*s**4 and give y. -13 Express (-2*v - 2*v - v)*(-2*v + 8 - 7 + 5*v) - v**2 - 2*v**2 + 0*v**2 as k*v + o*v**2 + i and give o. -18 Rearrange (-4*n + 2*n + 3*n)*(n**2 + n**2 + 0*n**2) + (-5 + 0 + 5*n + 6)*(5*n**2 + 5*n**2 - n**2) to the form y + j*n**2 + w*n + q*n**3 and give q. 47 Express -1053*b**2 + 565*b**2 + 553*b**2 in the form j + s*b + o*b**2 and give o. 65 Express (4 + u - 4)*(-3 - 1 + 2) + (41*u - u + 0*u + u + 3*u - 6*u + (-4 + 2 + 0)*(u + u + 0*u) + 1 - u - 1)*(-1 + 2 + 3) as n*u + z and give n. 130 Express (4*z - 3*z - 4*z)*(-1 - 4 + 3) - 21*z + 12*z - 52*z + (1 - 2 + 3)*(-2*z + z - z) - 4 + 2*z + 4 - z + z - 4*z as a + k*z and give k. -61 Rearrange g**2 + 4*g + 3*g**2 - g**4 - 127*g**3 - 2*g**4 + 245*g**3 - 129*g**3 to the form l*g**4 + w + d*g + u*g**2 + s*g**3 and give s. -11 Rearrange -538*o**2 - 1133*o**2 + 334*o**2 to the form g*o**2 + k*o + i and give g. -1337 Rearrange -291*z - 241*z + 210*z to the form o + d*z and give d. -322 Express -5*t**2 - 168*t + 330*t - t**4 - 3*t**2 - 168*t as l*t**2 + b*t + s*t**3 + z + y*t**4 and give y. -1 Express 145*m - 81*m + 66*m as k + h*m and give h. 130 Express (2*j - 2*j + j)*(1 - 4 + 2)*(-4*j + 4*j + 2*j**2) - 164*j + 164*j + 26*j**3 in the form s + v*j**3 + q*j**2 + c*j and give v. 24 Express 39*l + 10*l + 4*l in the form a + v*l and give v. 53 Express -5 + 3 + 56*d**2 + 4 - 1 in the form h + i*d**2 + p*d and give i. 56 Rearrange 10 + 2*j**3 + 2*j - j**3 + 5553*j**2 - 5551*j**2 to the form a + m*j**3 + u*j**2 + b*j and give m. 1 Express (-136*j - 86 + 86)*(46*j - 6 - 48*j - 1) as z*j**2 + g + a*j and give a. 952 Express 104*b**2 - 32*b**4 - 104*b**2 + b - b - b**4 + (2*b**3 + 4 - 4)*(2 - 6*b - 2) in the form j*b + y*b**2 + m*b**3 + h + u*b**4 and give u. -45 Express (30 - 30 - 18*l)*(-40 + l - l + l)*(-1 + 2 + 5) in the form d*l + j + f*l**2 and give j. 0 Express -49 + 922*k - 922*k - k**2 in the form o*k**2 + b*k + r and give r. -49 Express (1 + 0 - 2)*(-j**3 - 3*j**3 + 8*j**3)*(2 + 1 + 0 + 2 - 2 + 3 + (-1 - 1 + 0)*(-3 + 1 + 3)) as y*j**3 + f*j**2 + b*j + d and give y. -16 Express (-81 + o**2 - 91 + 108)*(9*o + 2*o + 5 - 3) as j*o**2 + h*o + v*o**3 + w and give v. 11 Express -3*z**4 + 532*z**3 - 6 - z**2 - 267*z**3 - 264*z**3 in the form l + y*z + i*z**4 + v*z**3 + w*z**2 and give v. 1 Express -63*k**2 + 18*k**2 + 17*k**2 + 2*k + 0*k + 17*k**2 as h*k**2 + r + x*k and give x. 2 Rearrange -24 + 1 + 6*j - 17*j + 10*j - 131 to the form g*j + l and give g. -1 Rearrange 67*w + 614 + 620 - 1234 to h + p*w and give p. 67 Rearrange 32*z + 2 + 7*z + 2*z - 10*z + 53*z to u*z + j and give j. 2 Express -48*q**2 - 42*q + 20*q**2 + 26*q**2 in the form x*q**2 + s*q + m and give s. -42 Express -21*d**2 + 2 + 38*d**2 + 0 - 15*d**2 + 2*d in the form t*d**2 + y*d + n and give y. 2 Express -2*p + 2*p + p + (755 + 11 - 46)*(-p - 5*p + 4*p) as w + d*p and give d. -1439 Rearrange -14*g**3 + 20*g**3 - 90*g + g**2 + 7*g**4 + 92*g to t*g + h*g**3 + a*g**4 + z + d*g**2 and give h. 6 Rearrange (5*k**2 - 5*k**2 - k**4)*(15 - 2 - 7 + (1 + 3 - 2)*(3 + 4 - 5) + 2 - 1 + 3)*(-2 + 4 - 6) to the form y + i*k**4 + r*k**3 + w*k + g*k**2 and give i. 56 Rearrange -2*d**2 + 0*d**2 + 5*d**2 + 1120*d - 1120*d - 711*d**2 + (-d - 4 + 4)*(-2*d - 2 + 2) to y + w*d**2 + o*d and give w. -706 Express 23 + 20 - 3*x**3 + x**3 + 2*x**2 as h*x + f*x**3 + z + p*x**2 and give z. 43 Rearrange (f + 1 - 1 + (1 + 2 - 4)*(3*f - 2*f - 2*f))*(-198*f + 220*f - 186*f) to k*f + c + j*f**2 and give j. -328 Express 2*s - 6*s**2 + 3*s**2 + s**2 + 5*s**2 + 12*s**3 + 5*s**3 in the form v*s**2 + l*s**3 + w*s + z and give w. 2 Express (0*p + p - 2*p)*(0 - 2*p + 0 + (2 - 2 - 5)*(-7*p + p + 3*p)) in the form x*p**2 + u + j*p and give x. -13 Express -2 + 5*p**2 + 2 + (-3*p**2 + 0*p**2 + 4*p**2)*(0 - 2 + 12) as r + n*p + y*p**2 and give y. 15 Rearrange (-f - 2*f + f)*((4 + 2 - 7)*(0 + 1 - 2) + 11 + 11 + 5)*(15 + 1 + 3) to a + b*f and give b. -1064 Rearrange (2*c**2 - c**2 - 3*c**2)*(-2*c + 3*c - 2*c)*(838*c - 78*c - 365*c) to the form n*c**2 + d + r*c**3 + p*c + i*c**4 and give i. 790 Express (r + r - 6*r)*(4055 - 4055 - 102*r) as x*r**2 + d + z*r and give x. 408 Rearrange 5*o**2 - 12*o**2 + 13*o - o**3 + 5*o**2 - o**2 to u*o**3 + c*o**2 + h + v*o and give v. 13 Express 19*o**2 - 206*o**2 + 5 + 897*o - 897*o in the form k + x*o + z*o**2 and give z. -187 Rearrange 503*n - 1216*n - 777*n - 532*n + 184*n to k*n + f and give k. -1838 Rearrange 5 + 2*j - 113 + 8 to c*j + u and give u. -100 Rearrange -1 + 6 + 0 - 7136*s + 7152*s - 4 to the form p + a*s and give a. 16 Express -2*l**2 + 1 + l - l**2 - l - 10*l + 32*l in the form f*l**2 + y*l + z and give z. 1 Express (-2*o + 3*o + 0*o + (2 - 8 + 0)*(-3*o + 2*o + 3*o))*(-24*o + 3*o**2 + 24*o) in the form t*o + d*o**3 + y + m*o**2 and give d. -33 Express -2 - 4*v**2 + 4*v**4 - 36243*v - 2*v**3 + 36243*v in the form p*v + d + n*v**4 + k*v**2 + y*v**3 and give k. -4 Rearrange 356*s + 9*s + 229*s to the form q + a*s and give a. 594 Rearrange -2*r**4 - r**2 - 3 - 2*r**3 - 1 + 0*r**2 + 6 + 6*r to the form h*r**2 + q*r**4 + a*r + j*r**3 + t and give q. -2 Rearrange (4 + 3 - 1)*(16*v**2 + 10*v**2 + 33*v**2) to c*v**2 + g + r*v and give c. 354 Rearrange 2*u**2 - 723 - 2*u**3 + u**4 - 5*u**4 + u**3 + u + 727 to the form r + o*u**3 + b*u + p*u**2 + y*u**4 and give y. -4 Express 3 + 10 + 20 - 2 + 7*n + 2*n in the form x + m*n and give x. 31 Express (0*n - 7*n + 2*n)*(0 + 12 + 5)*(-2 + 4 - 4) as v*n + i and give v. 170 Express (0*d - 5*d + 4*d)*(7*d - 2*d - 4*d) - 3*d**2 + 2*d**2 + 3*d**2 - 35*d**2 - 61*d**2 + 12*d**2 in the form s*d + x + j*d**2 and give j. -83 Express (z + 2 - 2)*(-13*z + 6*z - 14*z)*(-2455 + 2455 - 22*z**2) as x*z**3 + m + k*z + u*z**2 + h*z**4 and give k. 0 Rearrange 47 + 50 - 4*z + 5*z + 162 - 7 to the form h*z + l and give l. 252 Express -11*x + 2 - 30*x**3 + 91*x**3 - 26*x**3 - 37*x**3 as w*x**2 + t*x**3 + a + l*x and give l. -11 Rearrange -82*u - 128*u - 14*u - 342*u + 74*u to v*u + o and give v. -492 Express 0 + 223*y + 0 - 35*y in the form q*y + d and give q. 188 Express (3*f + 40*f + 16*f)*((-2*f + 3 - 3)*(2*f - 3*f + 0*f) + 29*f**2 - 11*f**2 + 14*f**2) as b*f**2 + h*f + x + y*f**3 and give y. 2006 Express -84*i**3 - 2*i + 76*i**3 + 110*i**2 - 109*i**2 + 2 in the form s + f*i**2 + x*i**3 + n*i and give s. 2 Rearrange 48*h**2 - 124*h**2 + 54*h**2 + (-2*h + 5*h - 2*h)*(-319 - 10*h + 319) to the form i*h + q + m*h**2 and give m. -32 Express 3 + 12*t - 23*t**2 - 6*t - 5 - 8*t as u*t**2 + j*t + w and give w. -2 Rearrange (-32*m + 21 - 21)*(-6*m - 27*m + 57*m) to the form w*m + g + p*m**2 and give p. -768 Rearrange -f + 6*f + 9*f + 6 + 0*f to the form k*f + h and give h. 6 Rearrange -79*j**2 - 93*j**2 + 2*j - 1 + 144*j**2 + j to k*j**2 + m*j + u and give u. -1 Express (6 - 3 - 1)*(5*a**2 + 0*a**2 - 3*a**2) + 90 - 90 - 629*a + 3*a**2 in the form w*a + v + t*a**2 and give t. 7 Rearrange -35*z**2 - 2*z**3 + 68*z**2 + 54*z**2 to the form v + t*z**3 + f*z**2 + j*z and give f. 87 Rearrange (529*i**2 - 525*i**2 - 67 + 54*i + 69)*(-4*i + 2*i + i) to m + l*i**3 + d*i + w*i**2 and give l. -4 Rearrange 732*g**4 + 1 - 6 - 1465*g**4 - g**2 + 732*g**4 - g to the form a*g**4 + l*g + q + s*g**2 + r*g**3 and give a. -1 Express 9
{ "pile_set_name": "DM Mathematics" }
28, -4*c + 80 + 156 = 4*m. What is the greatest common divisor of 11 and c? 11 Let f be 1/(-8) - (-105)/8. Suppose f*q - 160 = 152. Calculate the greatest common factor of 60 and q. 12 Let u(b) = 12*b**2 + 4*b - 1. Let o be u(-3). Let y(p) = -14*p + 9. Let n be y(4). Let m = n + o. Calculate the greatest common factor of m and 12. 12 Suppose -87 = 14*j - 227. Calculate the highest common divisor of j and 250. 10 Let n(c) = -2*c + 24. Let v be n(12). Suppose v = 4*b - 3*x - 126, 0 = -b + 4*b - 3*x - 96. Calculate the highest common factor of 12 and b. 6 Suppose 224 = -13*c + 21*c. Calculate the greatest common divisor of c and 21. 7 Let j(h) = 44*h + 9. Let p be j(-3). Let l = -73 - p. What is the highest common divisor of l and 5? 5 Suppose -3606 = -9*r - 906. Let n(f) = -4 + 0*f + 0*f + 2 - 2*f + 7*f**2. Let v be n(-2). What is the greatest common divisor of v and r? 30 Let v be (567/42)/((-2)/(-20)). Calculate the highest common factor of v and 180. 45 Suppose -2384*u + 2394*u = 170. What is the greatest common factor of u and 3672? 17 Let s = 13756 + -13658. Let w(b) = 2*b**3 - 2*b + 2. Let x be w(2). What is the greatest common factor of s and x? 14 Let h be (((-40)/15)/(-4))/(3/432). What is the highest common divisor of h and 432? 48 Let s = 60 - 39. Suppose -3*m + s + 18 = 0. Let t be 0/(-2) - 234/(-2). What is the greatest common factor of m and t? 13 Suppose -2*d - 3*q + 20 = 0, -d - 6*q = -q - 24. Let a be d*(2 - -10 - 4). Calculate the greatest common divisor of a and 16. 16 Let i = -1 + 1. Suppose 24 = 3*h - i*h. Suppose -g + 3*f + 10 = 0, 3*f + 0*f = -2*g - 7. What is the greatest common divisor of h and g? 1 Let q(z) = -13*z + 152. Let k be q(11). Calculate the highest common divisor of k and 72. 9 Let l(g) = g + 6. Let j be l(5). Suppose -7 = x - j. What is the greatest common factor of x and 4? 4 Let p = -4 - -11. Let a = -814 - -849. What is the greatest common factor of p and a? 7 Suppose 2*g + 30 = 32, -u + 2*g + 49 = 0. Calculate the greatest common factor of 901 and u. 17 Let u be ((-3)/((-36)/(-32)) + -3)*-3. What is the greatest common factor of u and 1649? 17 Let i be -2 - (2 - (35 - 1)). Let p(o) = -o**3 - 2*o**2 + 14*o - 3. Let w be p(-5). Suppose -i = -y - w*y. Calculate the highest common divisor of 1 and y. 1 Let o = -15 + 50. Suppose -4*v - o = v. Let k = v + 18. Calculate the greatest common factor of 1 and k. 1 Suppose -18 + 74 = 2*r. Suppose 0 = 3*q - 3*j - 9 - 6, 3*j = -6. Suppose o - q*o + g = -60, -3*o + 88 = -g. What is the highest common factor of r and o? 28 Let s(k) = 4*k - 24. Let j be s(7). Let r be 1*(4/(-16) - (-37)/j). What is the greatest common factor of r and 6? 3 Let s = 233 - -250. Let m = s + -267. What is the highest common factor of 24 and m? 24 Let r = -447 + 933. Suppose 0 = -2*a - 5*o - 22, -2*a = -9*o + 4*o + 62. Let m be (a/(-6))/7*r. Calculate the highest common factor of 27 and m. 27 Let i be 13/3*(-156)/(-169). Let y be ((-12)/10)/((-3)/10). What is the highest common divisor of y and i? 4 Suppose -u + 5*y = -155, -3*y - 530 = -4*u - y. Calculate the highest common divisor of 20 and u. 10 Let m = 256 - 249. What is the greatest common divisor of m and 259? 7 Let o(p) = 4*p**2 - 2. Let r be o(-3). Let q(w) = 184*w - 3126. Let a be q(17). Calculate the highest common divisor of r and a. 2 Let h = 961 - 911. What is the highest common factor of 70 and h? 10 Suppose -k - 5*s + 31 = -48, -142 = -2*k - 2*s. Calculate the greatest common divisor of k and 46. 23 Let f = -223 + 603. Calculate the greatest common factor of 60 and f. 20 Let f = 26 - 18. Let r be (-2 + -2)*(-27)/4. Let s = -11 + r. Calculate the highest common divisor of f and s. 8 Let i = -264 + 390. What is the highest common divisor of 14 and i? 14 Let j be (-1)/(-4) - -127*(-1)/(-4). Let h(w) = 7*w**3 + w. Let y be h(1). What is the greatest common divisor of j and y? 8 Let f(r) = -16*r. Suppose 3*a = 2*p + 2*p + 5, -3*p - 40 = 5*a. Let b be f(a). What is the greatest common divisor of 10 and b? 10 Suppose -5*x = 4*c - 172, 5*c - 12 = 5*x - 157. What is the greatest common divisor of 32 and x? 32 Let q(g) = 27*g**2 + 35*g + 1. Let m be q(1). Let w(d) = -d**3 - d**2 - d + 1. Let u be w(-2). Calculate the highest common divisor of m and u. 7 Let p(w) = -2*w**2 - 159*w - 231. Let r be p(-78). What is the highest common factor of r and 145? 1 Suppose 0 = -5*h - 3*s - 0*s - 27, -5*h = -3*s + 33. Let q = 19 + h. Let r be 5 + (4 + -2 - -1) + 44. Calculate the greatest common divisor of r and q. 13 Suppose 0 = -2*l + 18*j - 20*j + 1376, 2*l + 5*j = 1361. What is the highest common factor of 99 and l? 99 Suppose 33768 = -3459*i + 3477*i. Calculate the highest common divisor of 67 and i. 67 Let s be 2/8 - (-153)/12. Suppose 24 = s*w - 10*w. Calculate the highest common factor of w and 1. 1 Suppose -3*o = -3, 17 = 3*v + 5*o - 0*o. Let y = v - 0. Suppose y*q - 461 - 23 = 0. Calculate the greatest common factor of 11 and q. 11 Suppose -311 - 190 = 4*z + 3*q, -2*z + 3*q - 273 = 0. Let x = 173 + z. What is the highest common divisor of 220 and x? 44 Suppose -3*l = 2*l - 30. Let c = -1102 - -1108. Calculate the greatest common factor of c and l. 6 Let i be (-6 - (-2 + -1))*-117. Let w = i - 207. Calculate the greatest common divisor of 18 and w. 18 Suppose 2*j = 7*j - 2*l + 20, -3*l + 21 = -3*j. Let m be (3/(-2) - 45/j)*5. Calculate the highest common factor of 35 and m. 35 Suppose 5 = 2*p - 2*r - 13, 3*p - 5*r = 27. Suppose -41*k + 121 + 248 = 0. Calculate the highest common divisor of p and k. 9 Let k = -57 - -125. Calculate the highest common factor of 85 and k. 17 Let s(o) = -18*o**3 - 3*o**2 - o + 1. Let i be s(-2). Let r = 97 - 37. Suppose -10*j = -6*j - r. Calculate the highest common factor of j and i. 15 Let a(x) = -x + 11 - 8*x - 4*x + 2*x. Let h be a(-6). Suppose 2*f = -w + 4 + 13, -29 = -2*w - 3*f. Calculate the highest common divisor of h and w. 7 Let h(j) = -5*j - 41. Let u be h(-13). Let m = u + 7. What is the highest common factor of m and 93? 31 Let u be 5/(-2) + (-181507)/(-82). Calculate the greatest common divisor of u and 33. 33 Let z be (124/(-31))/((-4)/37). What is the highest common divisor of 111 and z? 37 Let i be (-2*27/(-30))/(2/10). What is the highest common divisor of i and 9? 9 Let x(z) = -z**2 - 29*z - 71. Let a be x(-26). What is the greatest common divisor of 35 and a? 7 Suppose -21 - 75 = -2*g. Let d = 7 + -2. Suppose -d - 7 = -x. Calculate the highest common factor of x and g. 12 Let q be (-2)/(-8) + (-70)/(-8). Let g be 18/(-27) - 44/6. Let z be ((-9)/(-2))/(((-4)/g)/1). Calculate the highest common divisor of q and z. 9 Let k be (-8)/(-10) - (-516)/5. What is the greatest common factor of 8 and k? 8 Let h be 5*(10857/1410 - 1/10). Let p = 58 + 170. Calculate the greatest common factor of p and h. 38 Let z = 107 - 17. Suppose 23*v = 26*v - z. Calculate the highest common divisor of 12 and v. 6 Suppose 4*p + 381 = -19. Let v be (2/4)/(5/p). Let t be (24/v)/((-14)/245). Calculate the highest common divisor of t and 6. 6 Let m(d) = -d**3 + 4*d**2 + 13*d - 4. Let r be m(6). Let u be r/(1 - (-7)/(-9)). What is the highest common factor of 27 and u? 9 Suppose -f + 20 = -2*m - 5, 5*m + 4*f + 56 = 0. Let i = m + 15. Let j be (1 + i/(-6))*64. What is the greatest common factor of 16 and j? 16 Let l(i) = -i**3 + 2*i**2 + 5*i. Let r(k) = -2*k + 15. Let p be r(6). Let v be l(p). What is the greatest common factor of v and 6? 6 Suppose 3 = -3*d - 0, 2*x + d = 11. Suppose -b + 2 = -i, -x - 14 = 5*b + 5*i. Let l be (0 - b) + (-1 - -8). Calculate the greatest common factor of 24 and l. 8 Let d(k) = -3*k + 45. Let w(o) = -12*o + 179. Let m(z) = -9*d(z) + 2*w(z). Let i be m(16). Calculate the highest common divisor of i and 16. 1 Suppose -6*p = -2*p - 12. Suppose 2*a + 4*o = -0*a + 20, -p*a = o - 10. What is the greatest common divisor of a and 10? 2 Let o = 927 - 462. Calculate the highest common divisor of o and 15. 15 Let r = 2 - -3. Suppose r*c = -k + 1 + 10, -2*k + 6 = 2*c. Suppose -5*h = c*u - 24, -4*u + 22 - 4 = -5*h. Calculate the highest common factor of u and 7. 7 Let f(x) = x**3 + x**2 - 13*x - 22. Let h be f(5). What is the greatest common divisor of h and 1575? 63 Let x(r) = -5*r + 2. Let t(k) = -k**2
{ "pile_set_name": "DM Mathematics" }
q, 0 = -2*k + q + 65 for k. 32 Solve -2*o + 8*j + 0 - 52 = 0, -22 = 2*o - j - j for o. -6 Solve 0 = 7*g, 4*l + 2785895*g + 64 = 2785883*g for l. -16 Solve 0 = 3*t - 5*m - 19, 3824*t - 7653*t + 4*m + 8 = -3829*t for t. 3 Solve -4*x - 5*a = -7*a + 22, -a - 12 = 27*x + 14 - 8 for x. -1 Solve 13*m - 3*t - 37 = 3*m + 12*m, m - 2*t = -46 + 17 for m. -23 Solve -142*r + 2522 = -108*r - 312*r - 5*u, -r + 3 = -3*u for r. -9 Solve 5*q - 1 = -4*u, 0*u = 2*u + 54*q - 57 + 5 for u. -1 Solve 0*w = -w + w + 3*g + 15, 4*w - 2270*g = -2280*g - 22 for w. 7 Solve -3*m - 29 = 2*u, -365*m + 180*m - 27 = -180*m + 2*u for m. 1 Solve -6*w - a + 58 = -11*w - 2*a, 5*w - 210 = 8*w + 59*a for w. -11 Solve -7*m + 37 = 24*m - 10*m - 131, 5*i + 4*m - 52 = 0 for i. 4 Solve -j = w + 58 - 57, 0 = 5*j - 5*w - 45 for j. 4 Solve 5*p - 119*g + 267*g = 136*g + 76, -3*p = -5*g - 1 - 8 for p. 8 Solve 2*r + 1 = -2*l + r, -113949*l - 4*r - 1 = -113944*l for l. -1 Solve -27 = 2*t - 165189*u + 165190*u, -5*t - 3*u = -4*u - 13 for t. -2 Solve -10*w = -d - 51, -4*w + 2127 = 3*d + 2212 for w. 2 Solve -10 = 4*m + 3*d, -77*m = -89*m + 14*m - 3*d - 4 for m. -1 Solve -3*h + 5*h + 2*o = -38, 11*h + 6*o = 10*h + 1 for h. -23 Solve -5*c + 25 = 4*n, 5*n + 5*c - 35 = c - 6 for n. 5 Solve -t + c - 11670 + 11686 = 0, -2*t = c - 23 for t. 13 Solve -4*j - 5*a - 1377 = -1340, -4*j - a = -2*j + a + 16 for j. -3 Solve h - 22*f - 1 - 2 = -16*f - 7*f, -h - 17 = 6*f for h. 7 Solve -r - 9122270 + 9122254 = -5*y, -48 = 3*r + 5*y for r. -16 Solve 3*f + 18 = -2*p, -3*p + 15*f - 20*f + 70 - 99 = 0 for p. -3 Solve 3*t - 7*g + g = -48, -17 = -1041*t + 1039*t - 3*g for t. -2 Solve -5*p + 3*u - 55 = 0, -394*u - 12*u = -2*p - 6094 for p. -2 Solve 2*j + 4*d = -22, -43*j - 45*j = -86*j + 12*d + 54 for j. -3 Solve -6*y = -24, -5*s + 2*y = -64 + 104 - 92 for s. 12 Solve 2*p = -115405*m + 115403*m + 18, 4*p - 71*m - 111 = 0 for p. 10 Solve 9*w = 14*w + 4*s + 6, -8*s + 18 = -5*w for w. -2 Solve -116 = 9*d + 4*c, 7991 = -3*d + 2*c + 7959 for d. -12 Solve 75 + 39 = -3*i, -95*p + 79*p + 422 = 368*p - i for p. 1 Solve -d + 18 = 4*s, -25*s + 4115 = 5*d + 4015 for s. 2 Solve -5*d + 5*w - 5 = 0, -36458*w = -5*d - 36461*w - 13 for d. -2 Solve 4*y = n + 3*y - 14, 33 = n - 5*y + 11 for n. 12 Solve -3*t + 7 = -3*a - 14, 2295*a - 2297*a + 3 = 3*t + 7 for a. -5 Solve 1 = -19*v - 2*g + 1, 0 = -155*v + 153*v + g for v. 0 Solve -29 = -28*d + 29*d + x, 2*d - 28 = 6*d - 3*x + 109 for d. -32 Solve -15*g + 495 = -0*g - 315, 12*v + 2*g = 144 for v. 3 Solve -2*z + 0*z + 2*d = -36, 3*z - 419750 = 6*d - 419657 for z. 5 Solve -2*c + 56 = f, -f + 21*f + 175 + 133 = 11*c for c. 28 Solve -3*z + 4*l + 88 = 0, 7*z = -120885*l + 120884*l + 164 for z. 24 Solve 3*d - 18 = y, 367902*y = 367907*y + 45 for d. 3 Solve 4*g + t = 45, 108412*g - 108424*g + 153 = -3*t for g. 12 Solve 3679 - 3689 = -j, -5*x - 5*j = -40 for x. -2 Solve 9*i - 3*i + 6 = 2*l, -4*l - 555*i = -560*i - 12 for l. 3 Solve 4*s = 8*l - 20, 2*l + 82*s + 1549 - 1559 = 78*s for l. 3 Solve 0 = 7*g - 5*c - 116, 3*g + 3474 = -4*c + 3536 for g. 18 Solve 18*i + 9*k - 4*k = 34*i + 17, -4*k - 9 = -k for i. -2 Solve -3*k + 525*h = 522*h + 54, 3 = h for k. -15 Solve 3*k + 1859 = -i + 1839, 2*i - 16 = k for i. 4 Solve 166 = 20994*k - 20991*k - 5*j, 2*j + 103 = -11*k for k. -3 Solve s - 82 = -2*s - 4*z + 31, 449 = 14*s + 3*z for s. 31 Solve -113*n + 109*n + 5*p - 23 - 100 = 0, 7*n = -3*p + 102 for n. 3 Solve -3*d = -5*b + 68, 247 - 413 = -3*d - 10*b - 264 for d. -26 Solve -3*a - 132 = -2*o, 9*a - 29*a + 21*a + 68 = o for a. 4 Solve -48 = -3*r + 2*r + 17*v, 2*v + 24 = -6*v for r. -3 Solve 0 = 3*y - 4*s - 1, 2*y + 12*s + 6 = 5*y + 21 for y. 3 Solve -2*k = 3*p + 18, -99 = -9*k + 10*k + 24*p for k. -3 Solve -4*k + 85 = -2*f - k + 89, 2*f - 25 = -0*f - f - 5*k for f. 5 Solve -7*y + 376 = 3*s, -12*s + 200 = 4*y - 26*s + 12*s for y. 52 Solve 16*j = 9*j + 2*h + 97, 5*j - 2*j + 3*h + 84 - 114 = 0 for j. 13 Solve 4*r = 6*u + 92, -3*u - 2*r - r = 2*u + 7*r - 7*r + 64 for u. -14 Solve 0 = -a + 4*a - 246 + 255, y = 3*y - 2*a - 60 for y. 27 Solve 0 = 3*l - 5*i + 3623 - 3630, 3*i = 3*l - 15 for l. 9 Solve u + 2*b + 24 = -0*u - 3*b, -b = 2*b - 10*b + 6*b for u. -24 Solve -3*v + 53 = 4*u, -24*v = 22*v - 55*v - 2*u + 169 for v. 19 Solve 480*m = -74*u + 77*u + 481*m - 5, -2*u = -25*m - 183 for u. 4 Solve 4*d - 19*w - 1229 = -1134, d - 2*w = -6*w - 20 for d. 0 Solve 0 = c - 40*v + 146, -367 + 157 + 180 = -3*c + 3*v for c. 14 Solve -3*m = 3582*h - 3580*h - 22, 0 = 104*m + 5*h - 441 for m. 4 Solve 5*a - 5*j - 10 = 0, 11 = 4*a + 8951*j - 8952*j for a. 3 Solve -5*g - 9*w = -115, 0 = 3*g + 606*w - 607*w - 37 for g. 14 Solve f - 4*v = -52, 24 = 257*f - 258*f - 3*v for f. -36 Solve -424*c - 16 = 5*q - 211*c - 216*c, -q + 4*c = 44 for q. 4 Solve -4*f - 463*l + 466*l - 4 = -1, -5*l = -61*f - 5 for f. 0 Solve -3*j + 29 = 42365*z - 42340*z - 1, 3*j - 2*z + 51 = 0 for j. -15 Solve -5*h + 5*x - 55 = 0, 0 = 2423089*x - 2423094*x for h. -11 Solve 0 = -13*g + 20 + 6, 33*q + 5 = 32*q - 3*g + 14 for q. 3 Solve -2*f = -22*d + 36, 841*d - 839*d + 26 = -4*f for f. -7 Solve 4*p = 3*d + 55, -353*p - 3*d = 354*p + 352*p - 1059*p - 9 for p. 16 Solve 5*w + 38 = -7, -5*x + 36*w - 10*w = 30*w + 26 for x. 2 Solve -2*u = -12, 3*r = -4*u + 2669725 - 2669716 for r. -5 Solve -20*i + 25*i + j - 48 = 0, 20*j = 4*i + 24 for i. 9 Solve -36085 = 3*m - 3*z - 36022, -7*m + 3*z = 143 for m. -20 Solve 10 = -2*r + 3*w, -1196*r - 3*w + 5*w + 36 = -1192*r + 3*w for r. 7 Solve 68 = 3*a - 2*d, 5*a + 5*d + 13853 = -6*d + 13995 for a. 24 Solve f + 4*o = -24, -148*o = -152*f + 157*f + 888 for f. 0 Solve 5*h - 696 = -4*k, 948 = k - 2*k + 11*h + 20 - 564 for k. 4 Solve 0 = 3*d - 15, 4*v - 3*d + 30 = 19 for v. 1 Solve 0 = 4*x + u + 21162 - 21097, 4*u = -x - 20 for x. -16 Solve 10*g - 7 + 28 = 3*u, -2*u - 2*g + 7 = -u for u. 7 Solve 0 = -k + 10, 1409893*p = 1409896*p + 4*k - 37 for p. -1 Solve -5*i = -0*t - t + 16, 0 = 4*t + 4*i - 1428 + 1460 for t. -4 Solve 3*v + 8*k = 2*v + 6*k + 15, 33*v + 75*k = 74*k + 170 for v. 5 Solve 5*z + m = 2*z + 3 - 16, -83*z = 5*m + 269 for z. -3 Solve -12 = g + c, -8*g + 9723 = c + 9714 for g. 3 Solve 0 = 5*p + 5*r - 20, r + 4*r = 53*p - 47*p + 2 - 4 for p. 2 Solve 5*c + 2 = -2*d + 22, -66*d - 56*c = -37*d - 34*d - 224 for d. 0 Solve 10*c + 7108 = -4*a + 6900, 102 = -a - 5*c for a. -2 Solve 10552*r = 10547*r - 3*c + 78, -5*r - 78 = -3*c for r. 0 Solve -2*x = -11*o + 191 - 130, o = 2*x + 11 for x. -3 Solve -167*t + 171*t + 3*q = 76, -6*t + 3*q + 114 = 0 for t. 19 Solve 6*a = -5*t + 79, -t + 12 = 1486*a - 1481*a for a. -1 Solve -39*z + 4*d + 40 = -40*z + 10, -5*d - 5 = z + 28 for z. -18 Solve 125 = 2*b + 143, -15*g = -13*g - 29*b - 8*b - 212 - 123 for g. 1 Solve 96 = 3*i - 3*m, 0 = -5*i + 25*m + 4848 - 4108 for i. 3 Solve -2*d - 5*b - 26 = -b, -5*d + 6226*b = 6221*b - 1 - 24 for d. -1 Solve 5*f + 2*d + 2*d = 2*f + d, -103*f - 2*d = -108*f for f. 0 Solve 5*n - 60 = -10*l + 15*l, l = 2*n - 4*l - 36 for n. 8 Solve -763*i + 761*i - 11 = 3*w, -10*i + 2*w + 30 = 0 for i. 2 Solve -63*z - 62*z + 186*z - 58*z - u = -5, -z = 4*u + 19 for z. -3 Solve 5*a + 6 = -3*s + 6*s, 4*a - a - 6*a - 75*s + 534 = 0 for a. 3 Solve 1818*u = 1819*u + 3*s - 1, 9 = u - s for u. 7 Solve -3*h + 8 = -3*s + 7*s, 7*h - 681*s + 678*s = 2*h - 35 for h. -4 Solve 0 = a - 26*k + 28*k - 20, -2*a - a = -2*a - 5*k + 1 for a. 14 Solve o + 25 = 2*v, -4*o - 432195*v = -432170*v + 199 for o. -31 Solve 10*w - 3*b + 36 - 33 = 6*w, -4*b - 9 = -w for w. -3 Solve -2*y + 1678*t + 168 = 1635*t, 2*y + 16 = -3*t for y. -2 Solve -2*m = 2*m - 28, 42 - 2 = -5*f - 33*m + 38*m for f. -1 Solve -4*p = 1799*z - 1809*z + 66, -p + 4*z = 27 for p. 1 Solve -4*m = y + 60287 - 60267, 5*y - 15 = 3*m for y. 0 Solve -66*n + 82*n + 2*o = 168, -3*n + 6*o - 2*o = -14 for n. 10 Solve 3*f - 14628 = 2*y - 14637, -y + 3 = 0 for f. -1 Solve -3*i + 41 = -13*n, 0 = -5*i + 4*n - 1267 + 1247 for i. -8 Solve -10*i = -1304*d + 651*d + 656*d - 86, 6*d - 2*i + 4 = -0*i for d. 2 Solve 88247 - 88131 = 5*p + 3*m, 0 = p + 2*m - 26 for p. 22 Solve -3*m + 25690*h - 112 = 25677*h, 0 = -m + h - 44 for m. -46 Solve -2*t + 30 = -3*t + 5*o, -40 = 988*t - 979*t + o for t. -5 Solve 143 = 42*f - 211*z + 216*z, -5*f - 18*z + 19*z = -25 for f. 4 Sol
{ "pile_set_name": "DM Mathematics" }
order. -3, m, i, 5 Let j = 100 + -102. Let q be 72/16 - 6/4. Sort j, q, -4 in increasing order. -4, j, q Let p = 0 - -0.2. Let i = 15.3 + -15. Sort p, -3, i, 3/4 in increasing order. -3, p, i, 3/4 Suppose -31*o - 32 = 30. Put 14, o, 3 in increasing order. o, 3, 14 Suppose -41 - 7 = -4*q. Suppose 5*t - 11 = -c, 3*c = -9*t + 11*t - 1. Sort q, c, 0 in descending order. q, c, 0 Let w = -8 + 6. Let h be (-1)/65*3311/63. Let z = h - -1/117. Sort -0.4, w, z. w, z, -0.4 Let a be 2*(3 - 1 - 3). Let k be 45/30 + 0/a. Put -0.04, k, 0.3, -3 in increasing order. -3, -0.04, 0.3, k Let u = -0.43 - -0.24. Let r = 0.11 + u. Let q = r + -0.02. Put q, 3, 1/2 in decreasing order. 3, 1/2, q Let c = 69 - 69.5. Put c, 12, 5/4, -5 in increasing order. -5, c, 5/4, 12 Let y = 434 + -869/2. Put 0.1, y, 3.4 in ascending order. y, 0.1, 3.4 Let i = 3 - -2. Let s = 0.15119 + -0.05119. Sort i, 0.5, s. s, 0.5, i Let n(r) = r**3 - 7*r**2 + 11*r - 5. Let i be n(5). Suppose -4*c + 19 - 91 = 0. Let z be (-1)/(-2) - c/(-4). Sort z, 4, i in decreasing order. 4, i, z Let g = 739 + -742. Put -5, -0.09, 0.2, g in increasing order. -5, g, -0.09, 0.2 Suppose s - 40 = -3*s. Let l(g) = -g**2 + 11*g - 8. Let h be l(s). Suppose -r + 4*k = -h, -11 = -5*r + k - 1. Sort r, 5, -2. -2, r, 5 Let h be ((-15)/60)/(1/(-20)). Suppose 2*b + a + 1 - 2 = 0, h*b + 2*a - 4 = 0. Sort 5, b, 4, 1. 1, b, 4, 5 Let s = 6 + -12. Let x = s + 6. Suppose -3*t = -x - 3. Sort 3, -6, t. -6, t, 3 Let f(t) = -t**2 - 4*t - 3. Let n be f(-4). Suppose 4*j + 8 = 6*j. Suppose -5*r - 1 = -j*r. Put r, n, -5 in decreasing order. r, n, -5 Suppose -14*q - 47*q = -305. Let i = -1 + 1. Put q, i, -1 in decreasing order. q, i, -1 Let f be (55/11 + -11)/2. Suppose g - 5*r = -4*g, -4*g - 5*r = -27. Sort f, 0, g. f, 0, g Let u(y) = -y**3 + 7*y**2 + 6*y + 18. Let o(f) = -4*f. Let l be o(-2). Let x be u(l). Let w = -2 + -2. Put w, x, 3 in descending order. 3, x, w Let z = -67 - -66. Let b be 72/(-30)*z/(-2). Put -0.5, b, -14, -1 in decreasing order. -0.5, -1, b, -14 Let r(q) = -14*q + 85. Let l be r(6). Let h be 1*(-4 + 2)/2. Sort -9, h, l in increasing order. -9, h, l Suppose v + 5 = 0, 2*j = -3*j - v - 40. Sort 2, -5, j in descending order. 2, -5, j Let f = 78 - 74.5. Let o = f + -4.5. Put 1.1, o, 2, 1 in descending order. 2, 1.1, 1, o Let m = -1163 - -8123/7. Let z = -115/42 - m. Let x be 3/(-9) + 7/3. Sort z, 4, x in increasing order. z, x, 4 Suppose y = 4*l, 0 = -2*l - 11*y + 15*y + 14. Suppose k = 3*b + 2, 2*b + k + 18 = 5*k. Sort l, b, 0, 3. l, 0, b, 3 Suppose 0 = -4*u + 2*u + 2. Suppose -47 = -4*s + u. Suppose f - 5*z = -4*f - 15, 4*z - s = 5*f. Sort 2, f, 1 in ascending order. f, 1, 2 Let i = 98 - 85. Let m = 12.7 - i. Sort -0.14, m, -2 in decreasing order. -0.14, m, -2 Let b be -1*2/(-2) + -2. Let m be b/(((-14)/8)/(-7)). Let q = 21 + -20.8. Sort 0.5, m, q. m, q, 0.5 Let n(q) = q**2 + 6*q + 4. Let r be n(-4). Let y = 134/9 - 1492/99. Sort 0, y, -2/5, r in decreasing order. 0, y, -2/5, r Let l = -0.6 - -0.5. Suppose 4*b + 193 = 13. Let i be 3/b*2 + 0. Put -1, l, i in descending order. l, i, -1 Let r = 9 - 14. Let a be (820/(-84))/r - (-4)/(-14). Let x = -2.1 + 0.1. Sort 0, a, x in descending order. a, 0, x Let o = 992 - 996. Let f = 0 - -1. Sort -20, o, f in decreasing order. f, o, -20 Let l = 23 - 21. Suppose 3*n + 26 = 5*y, 2*n + l*y - 6 = n. Suppose -3*w = 2 + 1. Sort w, -5, n in decreasing order. w, n, -5 Let z be 288/(-1292) - 4/(-38). Put -3, z, -2 in ascending order. -3, -2, z Suppose 24 = 1558*t - 1566*t. Sort 140, 2, 0, t in increasing order. t, 0, 2, 140 Let t = -2.27 - 2.73. Sort 30/7, 2, t in ascending order. t, 2, 30/7 Let p = -44.7 - -43. Let g = p - -1.6. Let v = -0.1 + g. Put -1/7, v, -2/15 in increasing order. v, -1/7, -2/15 Let z = -2168 + 2163. Put 0, 5, z, -121 in descending order. 5, 0, z, -121 Suppose -9 - 1 = 5*o. Suppose -4*t = -3*i - 2, -t = 2*t - 6. Sort o, -7, i in increasing order. -7, o, i Let f = 1048 + -1051. Put -2/15, -56, f in decreasing order. -2/15, f, -56 Suppose 2*s - 15 = 9. Suppose -4 - 1 = -5*p + 5*y, 0 = p + 5*y - 13. Suppose 5*h + 14 + 1 = 0. Sort h, p, s. h, p, s Let i be 5/2*160/100. Let h be 0 - -2*3/2. Suppose -4*l - 12 = 4*v, -2 = 5*l + 4*v + 10. Put l, h, i in increasing order. l, h, i Let y(f) = -f**3 + 5*f**2 + 10*f - 21. Let u be y(6). Suppose 0 = u*t - 4 - 5. Put -1, -3, t, -4 in ascending order. -4, -3, -1, t Let l = -5/26 - 23/286. Put -1, 4, l, 3/8 in descending order. 4, 3/8, l, -1 Let j = -6 - -4. Let s(k) = k**3 - 5*k**2 - 10*k - 1. Let u be s(7). Suppose 3*i + 4*g - 7 = 6*g, u = 3*i + 3*g. Sort j, i, 1 in descending order. i, 1, j Let m(o) = -3*o - 15. Let n be m(-7). Let t = n + -5. Put 3, t, 0 in descending order. 3, t, 0 Let m = -157 + 168. Sort 1, m, -11 in descending order. m, 1, -11 Let c = 2.05 - 0.05. Suppose 10*i = -10*i. Put i, c, -1 in decreasing order. c, i, -1 Let s = -26 - -31. Suppose s = -5*c - 5*u, c + 3*u + 24 = 5*c. Suppose -4*y - 4*m = 7 + 9, 4*y + 11 = m. Put y, c, 0 in decreasing order. c, 0, y Let s(n) = -n**3 + 2*n**2 + 10*n + 21. Let l be s(5). Sort l, -32, 3 in decreasing order. 3, l, -32 Let s = 892 + -891. Let l be (-20)/(-75)*6/(-4). Sort -0.03, l, s. l, -0.03, s Suppose 0 = 11*o - 7*o + 12. Suppose 32*h = 23*h + 171. Put 4, h, o in descending order. h, 4, o Let n = 2 - -1. Let v be 3 - 3/(0 + 1). Sort 1, -2, v, n in decreasing order. n, 1, v, -2 Suppose 2*a + 47 = 3*c + 7, -2*c - 40 = 2*a. Let v = 21 + a. Put 6, v, -2 in decreasing order. 6, v, -2 Suppose 6*x = 5*v + 9*x + 245, 4*x - 147 = 3*v. Sort 4, v, 0. v, 0, 4 Suppose -2*j + 5*i = -16, 2*i + 2*i - 7 = -5*j. Suppose -n - 5 = 0, 2*z - 3*n = -j*z + 5. Let y be -2*1*z/8. Sort -2, 3, y. -2, y, 3 Let u = 19/40 + 1/8. Let n be ((-4)/14)/((-2034)/126 + 16). Put -6, u, 1, n in decreasing order. n, 1, u, -6 Let z = 472 + -471. Put -1, 4, z, 3 in decreasing order. 4, 3, z, -1 Let o be -5*(12/15)/2. Let f = -3 + -70. Let x = f + 72. Sort o, 3, x in ascending order. o, x, 3 Let r = 7.31 + -6.31. Let t be (-6)/20*(-25)/60. Sort -0.1, t, r in descending order. r, t, -0.1 Let g = -1180 - -1179. Let w = -0.5 - -3.5. Sort -2, g, -4, w in ascending order. -4, -2, g, w Suppose 7*x = -29*x - 108. Sort -1, x, -4, 2 in ascending order. -4, x, -1, 2 Let n be 24/(-14) - 270/210. Let r(y) = -y**3 + 4*y**2 + 6*y. Let m be r(5). Put 2, n, m in descending order. m, 2, n Let a(c) = c**3 - 9*c**2 - 11*c + 11. Let n be a(10). Suppose -13 = -6*d - n. Sort d, 1, -6 in ascending order. -6, 1, d Suppose -5*l + 85 = 15. Let g(u) = u**2 - 14*u - 3. Let t be g(l). Sort t, 2, -6. -6, t, 2 Let q = 1 - 1. Let j = -6.4 - -6. Let i be 5*(56/(-20) - -3). Sort q, j, i. j, q, i Let w = -211 - -211.34. Sort -0.1, w, 3 in descending order. 3, w, -0.1 Let u be (-20)/(-6) - (-2)/(-6). Let v = -405/22 + 1237/66. Put v, u, -3 in decreasing order. u, v, -3 Let t = 9 - 4. Let i = 511 + -510. Sort i, t, -7. -7, i, t Suppose -f + 4*f - 21 = 0. Let n = 0.7 - 0.6. Let k = 0.2 - n. Sort f, 0, k in decreasing order. f, k, 0 Let h = -733 + 732.84. Sort h, 0.2, -3/2, 4 in increasing order. -3/2, h, 0.2, 4 Let k = 11.5 - 12. Let c = 2.61 + -0.11. Let y = k - c. Put 0.3, y, -1/7 in descending order. 0.3, -1/7, y Let w(v) = -42*v - 207. Let m be w(-5). Sort m, -22, 5 in decreasing order. 5, m, -22 Suppose 258 = -4*c + 2*x, -2*c + 2*x = -3*c - 62. Let u be c/60 + 2/3. Sort 4, -6, u in decreasing order. 4, u, -6 Suppose 4*t + 12 = -8*h, -t + 8 = 13. Suppose -c + 6*c = -5*q + 10, 0 = -c - 3*q. Let z be 1/(-2) + (-5)/(-4). Put c, z, h in ascending order. z, h, c Let m(s) = 4*s + 5. Let v be m(-1). Suppose 3*x - 25 = -10. Let j = v - x. Sort 4, j, -2 in decreasing order. 4, -2, j Let q = 110 - 118. Let j = q - -6. Let o be (-12)/(-5)*30/9. Put -1, o, j in descending order. o, -1, j Let c be 34/(-2) - 3/3. Let s = c - -11. Put -1, -5, s in increasing order. s, -5, -1 Suppose -6*u = -11*u + 10. Suppose -3*c = k - 2*c - u, k + 3*c = 10. Sort k, -15, -5, 3 in descending order. 3, k, -5, -15 Let g = 29 - 20. Let c = -9.3 - -3.3. Let m = g + c. Sort 2/15, m, -3 in ascending order. -3, 2/15, m Let n = 0.4 - 0.2. Let i = 21 - 15. Let f be i/(-14) - (13 - 13). Sort f, n, -1 in descending order. n, f, -1 Let x = -969 - -984. Put x, 4, 3, 1 in descending order
{ "pile_set_name": "DM Mathematics" }
Suppose -3*z = -5*z - 52. Let y be 10/35 - z/7. Suppose -6*n - 3*l + 10 = -8*n, y*n - 16 = -3*l. Which is the biggest value? (a) -0.3 (b) n (c) -2 b Let u = -52 + 52. Which is the biggest value? (a) 9 (b) u (c) -3 a Let d = -0.01 + 2.01. Let t = 3 - 0. Let j = -0.013 - -0.113. What is the biggest value in t, d, j? t Let x = -10.4 + 10. Let s = 0.8 + x. What is the third biggest value in s, 5, 0.2? 0.2 Let l = -3 - -3.13. Let n = l + -0.03. Let o = 0.6 + -0.3. Which is the biggest value? (a) o (b) n (c) 2/7 a Suppose 2 + 3 = -i. Let x(q) be the second derivative of q**5/20 + q**4/2 + 2*q**3/3 - 7*q. Let h be x(i). Which is the biggest value? (a) 0.4 (b) h (c) -1/4 b Let o = -0.2 - -0.2. Suppose -18 = q - 2*r - 6, q + r + 21 = 0. Let h be (-12)/q - (-26)/(-30). What is the third biggest value in h, o, 5? h Let k(h) = 2*h + 1. Let y be k(2). Let a = 0.4 + -2.4. Let x = -1 + a. What is the second smallest value in y, -1/4, x? -1/4 Let z = -0.4 + 0.1. Let k = -53 + 267/5. Which is the third biggest value? (a) -0.5 (b) z (c) k a Let q = 2 + 4. Suppose -3*z = s + 12, z = -3*s + q*s + 16. What is the third smallest value in -1, s, -1/3? -1/3 Suppose -3*v + 8*v = 0. What is the fourth biggest value in 2, 2/3, 5, v? v Let g = -7 - -7.5. What is the third smallest value in 5, g, -0.1? 5 Let u(w) = w**3 - 9*w**2 + 15*w - 8. Let r be u(7). Which is the second biggest value? (a) -4 (b) 0.3 (c) r c Let r be -1 + 1 + (-6)/(-3). What is the biggest value in -1, r, -0.15? r Let p = -0.3 - -0.1. Suppose -5*n + 4*g + 24 = -n, -3*n + 5*g = -28. Suppose -6 + n = -r. Which is the third smallest value? (a) -2 (b) r (c) p b Let c = 12 - 14. Let n = 3 - 2. What is the biggest value in -0.2, n, c? n Let k = -14 + 18. What is the third smallest value in k, 0.2, 5? 5 Suppose 2*d - 5 = 1. Let z be 23/40 + d/(-15). What is the second smallest value in 4/7, z, 4? 4/7 Let f = -0.109 - 2.911. Let s = 1.02 + -1. Let d = s + f. Which is the biggest value? (a) -0.1 (b) 4 (c) d b Suppose 38*t = 57*t + 19. Let p = -8/33 - -10/11. Which is the third smallest value? (a) p (b) 2/5 (c) t a Let j = -21.1 - -22. Let f = 45 + -45.7. Let u = f + j. Which is the smallest value? (a) 5 (b) 1 (c) u c Let f = 1 - 9. Which is the biggest value? (a) -0.5 (b) -3 (c) f a Let n = -17.6 - -18. Let g = 1/49 - 109/539. Which is the second biggest value? (a) g (b) n (c) -1 a Let y = 2.23 - 2.33. Let l(v) = -v**3 - 3*v**2 + 4*v + 6. Let w be l(-4). Suppose -3*b = -3 - w. What is the second smallest value in -3, y, b? y Let n be (-5)/(-12) + 2/8. Which is the third biggest value? (a) n (b) -1 (c) 0.1 b Let k = -606415 - -216490004/357. Let t = k - 2/357. Which is the third biggest value? (a) -1 (b) t (c) 5 a Let i = 0.4 + 0. Let w = -38 + 38.3. Which is the biggest value? (a) 0.03 (b) w (c) i c Let d = -0.54 - -0.04. Let o = -1 - d. What is the second smallest value in 2/9, 5, o? 2/9 Let v(p) = -8*p + 5*p - 3*p**2 + 4*p**2 - 3*p + 4. Let w be v(3). Which is the smallest value? (a) -0.2 (b) w (c) -4 b Let w = -436 + 442.19. Let i = -0.19 + w. Which is the biggest value? (a) i (b) 2 (c) -2/3 a Let t = 20.6 - 13.5. Let b = 1.1 - t. Let s = 70 - 69. What is the second biggest value in s, -0.4, b? -0.4 Let g(p) = p**2 - 3*p + 1. Let u be g(2). Let a be 6/(-156)*(u - 3). What is the second smallest value in -4, 2, a? a Let q be 20/93 + 4/(-6). Let n = -188/279 - q. Suppose -d = 6 - 1. Which is the third smallest value? (a) n (b) 1/2 (c) d b Let j be (-1)/(-5) + (-20768)/(-165). Let o = j - 126. What is the smallest value in 4, 5, o? o Let s = -5 + 7. Suppose -5*w - 6 = -s*w. Which is the second smallest value? (a) 3 (b) 0.4 (c) w b Let v = -9 - -14. Suppose -5*x = -13 + 8. Let r be x/(-2)*(4 + -1). Which is the biggest value? (a) -3 (b) v (c) r b Suppose -53 = -7*f - 18. Let y = -0.3 + 0.2. Let n = 0.1 - y. Which is the second smallest value? (a) n (b) 2 (c) f b Let x(r) = r**3 + 4*r**2 + 2*r - 3. Let s be x(-3). Let f = 4 - s. Which is the biggest value? (a) 3 (b) -0.2 (c) f c Let s be 2/(-4) + 6/(-84). Let o = 20 - 18.7. Let u = o - 0.3. What is the biggest value in 1/3, u, s? u Let k = -1000.4 - -1000. Let p = -5.6 + 6. What is the third biggest value in k, -2/3, p? -2/3 Let m = 40 + -40.06. Which is the biggest value? (a) -2/13 (b) m (c) 1 c Suppose 5*r - 4 - 7 = -3*s, 3*s = 5*r + 1. Let v be ((2 + -2)/1)/s. Suppose o + 0*o = v. What is the second smallest value in 5, -2/7, o? o Let m = 112 - 780/7. Which is the third biggest value? (a) 1/4 (b) 1/8 (c) m (d) 1 a Let z be (1 - 2)/(6/(-4) + -2). What is the third biggest value in 2/21, 0.07, 4, z? 2/21 Let f be (2/(-4))/((-4)/(-8)). Let g = 1.9 + 0.1. Let r = g + -2.1. What is the second smallest value in 4/3, f, r? r Let d = 493/15 - 33. Which is the second biggest value? (a) d (b) 1 (c) -3 a Let w = -4.059 - -0.059. Let f = -1345/9 + 149. Which is the smallest value? (a) f (b) 0.4 (c) w c Suppose -4*u = -32 + 8. Suppose 3*h + 0*h = u. What is the second smallest value in -0.2, 0.2, h? 0.2 Let k = -0.22 - 0. Let f = -2.78 + k. What is the biggest value in -1, 1.2, f? 1.2 Let q = -0.21 - -2.01. Let o = q + -1.7. Which is the third smallest value? (a) -2 (b) 1 (c) o b Let u be (0 - 0)/(-11 + 10). Which is the second biggest value? (a) u (b) 0.4 (c) -3/2 a Let f = -2 - 2. Let n be 2 + f/1 + -1. Which is the third biggest value? (a) 0.4 (b) n (c) 2 b Let l = 1.98 - -0.02. What is the second biggest value in l, -2, -0.5? -0.5 Let n = 0.29 + 0.71. What is the biggest value in -2, 2/9, n? n Let v = -74 + 77. Which is the second smallest value? (a) -0.5 (b) v (c) 5 (d) 0 d Let q be ((-2)/(-18))/(2/4). Which is the third biggest value? (a) q (b) 6 (c) -4 c Let d = 25/2 - 12. Let q = 162 - 813/5. What is the biggest value in -5, d, q? d Let i = -37 + 26. Let n = -11 - i. Which is the second biggest value? (a) 0.4 (b) n (c) -2/7 b Let z = -0.23 - -0.12. Let b = -0.91 - z. Let d = -0.4 - b. What is the third biggest value in -0.1, d, 1? -0.1 Let l be 2/6 - 2582/(-798). Let o = l - 66/19. Let h = 0 - 0.1. Which is the smallest value? (a) h (b) o (c) 4 a Let z = -8 + -2. Let j = 10 + z. Let v = -57/7 - -8. What is the smallest value in -0.5, v, j? -0.5 Let v be 3/(180/(-8)) + 0/(-1). Which is the third smallest value? (a) 1 (b) v (c) 3/2 c Let j(v) = v**3 - 4*v**2 - 3*v + 8. Let w be j(4). Which is the second biggest value? (a) 2/5 (b) w (c) 6/5 a Let u = -3.066 - -0.066. Which is the smallest value? (a) 5 (b) 1.1 (c) 2/17 (d) u d Let u(y) = 2*y + 2. Let w be u(5). Let m be (45/w)/(1/(-4)). Let n = 11 + m. What is the second smallest value in n, -0.2, 1/7? -0.2 Let l = -0.15 + -4.85. What is the smallest value in -2/7, l, -0.3? l Let p be 68*(-4)/56 + 5. What is the third smallest value in p, 0.08, 2, 1? 1 Suppose 2*l - 78 = -0. Let b = -194/5 + l. Let d = 0.39 - -0.01. What is the biggest value in b, 1/2, d? 1/2 Let z = -8 + 7.8. What is the biggest value in z, -3/5, 3? 3 Let q be 1*-7*(-2 - 6). Let v = 502/9 - q. What is the smallest value in 1/9, v, -2/7? -2/7 Let g(u) = 8*u - 11. Let x be g(2). Let a = -87/28 - -20/7. What is the biggest value in 3/5, x, a? x Suppose -36 = -2*s - 3*z + 10, 2*z = s - 23. Let f be s/20 - 10/25. Let d = 0.25 + 0.05. What is the third biggest value in -1, d, f? -1 Let p = -18 + 13. What is the smallest value in -4, p, -0.2? p Let p = -0.06 - -0.1. Let i = -3.96 - p. Which is the third biggest value? (a) -2/7 (b) 5 (c) i c Let u be (-6)/84 - (0 + -1). Let j = u - 47/28. Which is the biggest value? (a) -2 (b) j (c) 0.2 c Suppose -5*r + 35 = -d + 3*d, -5*r + 5*d = 0. Let z be 1 - 3*3/r. What is the third biggest value in -2/3, z, -2? -2 Let i = 1/29 - 35/174. Which is the third biggest value? (a) -2 (b) -23 (c) i b Let s = -0.009 + -22.991. Let k = s + 20. What is the biggest value in 1/4, k, 0? 1/4 Let v = 0.1 + -3.1. Let l = v - 0. Which is the biggest value? (a) -1 (b) 0.3 (c) l b Let m = -0.09 + 0.79. Let q = m + -0.3. Let k = q + 0. Which is the biggest value? (a) k (b) -0.3 (c) -1 a Let x be 9/(-2) + 2/1. Which is the third biggest value? (a) 2/19 (b) x (c) 8 b Let n = -0.99 + -1.01. What is the third bi
{ "pile_set_name": "DM Mathematics" }
= 22*q**2 - 490*q. Determine z(f(g)). 88*g**4 - 980*g**2 Let u(o) = 11*o**2. Let v(s) = 2275*s**2. Calculate u(v(f)). 56931875*f**4 Let f(x) = 6*x**2. Let t(d) = -2*d**2 - 25*d - 404. What is t(f(g))? -72*g**4 - 150*g**2 - 404 Let m(n) = -15*n. Let q(x) = 112*x**2. What is q(m(b))? 25200*b**2 Let n(s) = -82*s. Let p(t) = -t**2 - 3*t - 3. Let i = 17 + -22. Let j(o) = -o**2 - 5*o - 5. Let l(x) = i*p(x) + 3*j(x). Determine n(l(w)). -164*w**2 Let b(k) = k**2. Let g(w) = -16*w - 30*w + 6 - 4. Give g(b(v)). -46*v**2 + 2 Let z(a) = 262*a**2. Let n(h) = -14336*h. Give n(z(g)). -3756032*g**2 Let f(q) = -3*q. Let p(u) be the second derivative of -17*u**3/3 - 3*u - 19. Give f(p(x)). 102*x Let v(d) = 2*d**2 + 7. Let h(t) = -t**2 - 4. Let n(s) = 7*h(s) + 4*v(s). Let u(a) be the second derivative of -11*a**3/6 - 21*a. Calculate u(n(c)). -11*c**2 Let s(z) = z**2. Let y(w) = -6199*w. Determine s(y(p)). 38427601*p**2 Let m(x) = 18*x**2. Let h(l) = l**2 + 4*l - 4. Let w(u) = 5 + 2*u**2 - 3*u - 2*u - 4*u**2 + u**2. Let q(p) = 5*h(p) + 4*w(p). Give q(m(y)). 324*y**4 Let m(z) = 4444*z**2. Let k(w) = -8*w**2. Determine m(k(l)). 284416*l**4 Let o(d) be the third derivative of d**4/24 - 21*d**2 - 8*d. Let y(t) be the third derivative of 7*t**4/24 + 2*t**2. Give y(o(h)). 7*h Let o(h) be the second derivative of -h**5/60 - 2*h**3 - 13*h. Let z(i) be the second derivative of o(i). Let r(s) = 13*s. Determine r(z(y)). -26*y Let c(r) = -3*r. Let b(g) = 13*g. Let h(v) = -b(v) - 5*c(v). Let a(i) = 6*i - 19. What is a(h(x))? 12*x - 19 Let o(v) = -65*v**2 + 7*v**2 - 28*v + 31*v. Let k(j) = -j**2. Determine k(o(c)). -3364*c**4 + 348*c**3 - 9*c**2 Let q(l) = -150411*l. Let h(x) = 2*x. What is q(h(d))? -300822*d Let g(q) = -18*q**2. Let o(t) = 16*t**2 - t. Let z(n) = 4*g(n) + 5*o(n). Let j(r) = r**2 - 2*r**2 + 0*r**2. Give z(j(x)). 8*x**4 + 5*x**2 Let r(n) = 24*n + 2. Let x(l) = 2*l + 290. Calculate r(x(y)). 48*y + 6962 Let n(g) be the first derivative of 15*g**2/2 - 690. Let f(t) = 8*t - 4. Determine n(f(i)). 120*i - 60 Let p(y) be the third derivative of 5*y**4/24 + 61*y**2. Let k(n) be the first derivative of -9*n**2 + 20. What is p(k(b))? -90*b Let q(g) = -g**2. Let w(o) = -11*o - 15*o - 16*o + 43*o. What is q(w(t))? -t**2 Let h(d) = 3*d**2. Let z(r) = 7*r**2 + 35*r**2 + 8*r**2 + 8*r**2. What is z(h(t))? 522*t**4 Let t(j) = -j. Let p(m) = 39175*m. What is p(t(z))? -39175*z Let q(w) = 2*w**2. Suppose -2*i + 32 = 4*y + i, 0 = 3*y - 4*i - 49. Let x(h) = -8 - y*h - 3 + 11. Calculate x(q(v)). -22*v**2 Let j(l) = 2*l**2. Let i(y) be the third derivative of 7*y**5/120 + y**3/2 + 5*y**2. Let h(m) be the first derivative of i(m). Give h(j(q)). 14*q**2 Let m(l) be the third derivative of 7*l**6/720 + 11*l**4/12 + 16*l**2. Let x(q) be the second derivative of m(q). Let s(y) = 3*y**2. What is s(x(f))? 147*f**2 Let z(g) be the first derivative of -g**3 - 2. Suppose 2*d = -0*d + 4. Let k(f) = 3*f**d + 0*f**2 + 0*f**2. Calculate k(z(w)). 27*w**4 Let y(i) = 2*i + 6506. Let z(j) = -29*j. What is z(y(u))? -58*u - 188674 Let c(f) = -6*f - 4*f - 43*f. Let b(q) = 171*q + 166*q + 161*q + 171*q - 671*q. What is b(c(l))? 106*l Let q(c) = -19*c**2. Let t be (6/9*-6)/(-2 + 0). Let h(g) = -772 + 2*g**t + 772. Give q(h(a)). -76*a**4 Let h(b) = 2*b**2 + 5 + 5*b - b**2 - 8*b**2 + 0*b**2. Let w(r) = -10*r**2 + 7*r + 7. Let q(c) = -7*h(c) + 5*w(c). Let i(z) = -37*z**2. Calculate i(q(s)). -37*s**4 Let z(i) = i**2. Let b(t) = t**2. Let f(y) = 3*b(y) - 12*z(y). Let h(o) = -93*o**2. Give f(h(l)). -77841*l**4 Let x(o) = 10*o**2 - 5. Let g(u) = -5*u**2 + 3. Let k(w) = -5*g(w) - 3*x(w). Let q(m) be the third derivative of -m**4/6 - 39*m**2 - 5. Give q(k(s)). 20*s**2 Let g(a) = 9*a**2 + 9*a**2 - 17*a**2. Let j(o) = -63*o**2 + 4*o - 8. Let x(m) = 6490*m**2 - 413*m + 826. Let i(l) = 413*j(l) + 4*x(l). Calculate g(i(f)). 3481*f**4 Let i(l) be the first derivative of 0*l**2 - 5/12*l**4 - 3 + 0*l**3 - 5*l. Let c(b) be the first derivative of i(b). Let x(z) = -3*z**2. Calculate c(x(y)). -45*y**4 Let n(x) = 4*x. Let r(p) = -8*p + 9*p + 4 - 5 - 1 + 15*p. Calculate r(n(g)). 64*g - 2 Let x(l) be the third derivative of -l**4/8 - l**3/2 - 2*l**2 - 36*l. Let p(w) = 4*w. Determine x(p(b)). -12*b - 3 Let w(u) be the first derivative of -3*u**2/2 + 127. Let z(g) = 45*g. What is w(z(m))? -135*m Let b(l) = -1921*l. Let f(s) = -4*s - 9. Give f(b(k)). 7684*k - 9 Let p(z) = 6*z + 2. Let t(b) = -13*b - 4. Let o(l) = -4*p(l) - 2*t(l). Let v(w) = -69*w**2. Give v(o(r)). -276*r**2 Let g(b) = -b**2. Let f(m) = -48*m - 5. Let v(a) = 64*a + 12 + 26*a + 41*a - 11*a. Let t(l) = -12*f(l) - 5*v(l). Calculate t(g(i)). 24*i**2 Let c(u) = u. Let x(a) = -a + 1. Let m(q) = 8*q - 11. Let y(v) = 24*v - 32. Let d(l) = -17*m(l) + 6*y(l). Let t(f) = -4*d(f) - 20*x(f). Calculate t(c(i)). -12*i Let c(b) = 6*b. Let d(a) = a. Let s(r) = -c(r) + 5*d(r). Let o(p) = 5*p**2 - 7. What is o(s(u))? 5*u**2 - 7 Let m(u) = -1121*u. Let n(p) = 24713 + 2*p**2 - 24713. Calculate n(m(z)). 2513282*z**2 Let l(k) = 311*k. Let o(c) = 1070*c**2 - 2*c - 2. Determine l(o(z)). 332770*z**2 - 622*z - 622 Let o(u) = u. Let j(h) be the second derivative of h**3/3 - 46*h. Let v(p) = -j(p) + o(p). Let y(i) = -18*i**2. Determine y(v(z)). -18*z**2 Let r(a) = -9*a - 1. Let s(y) be the first derivative of 2*y**2 + 1010. What is s(r(z))? -36*z - 4 Let n(b) = 58*b + 25*b - 93*b. Let z(u) = 13*u**2. Give n(z(g)). -130*g**2 Let s = -20 - -14. Let p(f) = -70*f**2 - 17*f + 17. Let j(n) = -23*n**2 - 6*n + 6. Let l(h) = s*p(h) + 17*j(h). Let q(b) = -b**2. Give q(l(t)). -841*t**4 Let u be (-2 - -1) + 2 + 80. Let s(n) = -u*n**2 - 91*n**2 + 173*n**2. Let d(r) = 8*r**2. Calculate d(s(l)). 8*l**4 Let a(t) = 13*t - 2209. Let l(w) = 2*w. What is a(l(d))? 26*d - 2209 Let b(y) = 17558*y**2 + y. Let i(x) = 3*x. What is i(b(n))? 52674*n**2 + 3*n Let v(w) = 3*w**2 + 2*w - 4. Let x(b) = -10*b**2 - 7*b + 14. Let f(k) = -7*v(k) - 2*x(k). Let h(p) = 3*p - 21. Give f(h(c)). -9*c**2 + 126*c - 441 Let b(w) be the third derivative of -w**4/8 + 13*w**3/6 - 4*w**2. Let p(s) = -3*s - 4. Let n(f) = 7*f + 10. Let v(r) = 2*n(r) + 5*p(r). Calculate v(b(h)). 3*h - 13 Let r(l) = 7*l. Let j(i) be the second derivative of -1/4*i**4 + 0*i**3 - 3*i + 0*i**2 + 0. Determine r(j(u)). -21*u**2 Let v(q) = -q**2 - 1. Let l(f) = -3*f**2 - 4. Let j(i) = -l(i) + 4*v(i). Let z(m) = 5*m**2 + 4. Determine z(j(a)). 5*a**4 + 4 Let v(k) = -7*k. Let f(z) be the third derivative of 14*z**5/15 - 310*z**2. Calculate f(v(g)). 2744*g**2 Let s(w) = -14*w**2. Let y(l) be the second derivative of -7*l - 1/3*l**3 + 0 + 0*l**2. What is y(s(r))? 28*r**2 Let f(d) = -d - 467. Let t(l) = 32*l**2. Determine f(t(n)). -32*n**2 - 467 Let t(s) = s**2 + 22. Let m(z) = -3*z - 95. Determine m(t(a)). -3*a**2 - 161 Let l(j) = -j. Let q(d) be the first derivative of -3*d**3 - d**2 - 95. Determine q(l(o)). -9*o**2 + 2*o Let q = 88 - 49. Suppose 5*k = 3*g + g - 13, 4*g = -2*k + 6. Let v(f) = f**g - 39*f + q*f. Let z(h) = -2*h**2. Calculate z(v(t)). -2*t**4 Let m(z) = 17*z**2. Let b(w) be the first derivative of 5*w**3/3 + 6. What is b(m(g))? 1445*g**4 Let o(i) = i + 4. Let v(h) = 12*h**2 + 21*h**2 - 28*h**2. What is v(o(l))? 5*l**2 + 40*l + 80 Let h(p) = 7*p + 520. Let i(a) = -a**2. What is i(h(m))? -49*m**2 - 7280*m - 270400 Let d(i) = -540*i**2. Let y(t) = -201*t**2 - 2. Give y(d(a)). -58611600*a**4 - 2 Let j(o) be the first derivative of o**2/2 + 12*o + 5. Let y be j(-6). Let w(i) = 3*i - y*i - i. Let p(t) = t**2. Give w(p(r)). -4*r**2 Let h(u) = -u. Let r(n) = 297*n**2 + 1912*n. Calculate h(r(c)). -297*c**2 - 1912*c Let f(p) = -4*p. Let t(x) = 2*x - 2 + 3 - 1. Give f(t(b)). -8*b Let b(d) = 130*d**2 - d + 4*d - 151*d**2 - 3*d. Let k(z) = 33*z**2. Give k(b(x)). 14553*x**4 Let r(k) = 252*k**2 + 3. Let d(i) = 14*i. Determine r(d(n)). 49392*n**2 + 3 Let u(j) = 22*j**2. Let f(m) = 4*m**2 - m**2 + 1 - 2 - 2*m**2. Let y be 2/4*(7 - 9). Let h(o) = 4*o**2 - 3. Let l(t) = y*h(t) + 3*f(t). Calculate u(l(c)). 22*c**4 Let q(o) = -o**2 - 5*o. Let r(i) = 2*i. Let n(s) = s - 10. Let j be n(15). Let h(w) = j*r(w) + 2*q(w). Let z(a) = -a. Give h(z(k)). -2*k**2 Let g(l) = -269*l. Let f(j) = -22*j - 1. Calculate f(g(u)). 5918*u - 1 Let z(i) = -7*i**2 + 6*i. Let p(b) = b**2 - b. Let a
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from {k: 3, c: 5, s: 1, e: 6}. What is prob of sequence cs? 1/42 Two letters picked without replacement from {k: 2, r: 3, o: 10, h: 5}. Give prob of sequence rh. 3/76 Calculate prob of sequence poo when three letters picked without replacement from {p: 5, o: 2}. 1/21 What is prob of sequence udus when four letters picked without replacement from uzossoosuodosososdos? 7/29070 Calculate prob of sequence xxm when three letters picked without replacement from {m: 2, o: 1, q: 3, c: 3, x: 8, w: 1}. 7/306 Two letters picked without replacement from {c: 2, g: 4}. What is prob of sequence cc? 1/15 What is prob of sequence ffy when three letters picked without replacement from yfffffyycsffffyy? 3/28 What is prob of sequence pbx when three letters picked without replacement from rurummxbrurumpxmmmx? 1/1938 Calculate prob of sequence dhtv when four letters picked without replacement from tdhzhmhhhmhzmddmvhd. 7/23256 What is prob of sequence shu when three letters picked without replacement from hubuyssb? 1/84 What is prob of sequence uv when two letters picked without replacement from hkxxuhtvtkhu? 1/66 Four letters picked without replacement from {z: 1, w: 2, l: 6, f: 3, s: 3}. What is prob of sequence fzlw? 1/910 Two letters picked without replacement from fhwve. What is prob of sequence fe? 1/20 Two letters picked without replacement from rrrrjrjrjjjrjrjrjjrr. Give prob of sequence rr. 11/38 Two letters picked without replacement from {o: 1, h: 1, w: 2}. What is prob of sequence wo? 1/6 Four letters picked without replacement from xxxcxxfccc. Give prob of sequence cxxc. 1/21 Two letters picked without replacement from {b: 1, e: 2, k: 1, a: 2, r: 7, x: 1}. What is prob of sequence ab? 1/91 Three letters picked without replacement from sesel. Give prob of sequence lss. 1/30 What is prob of sequence kmo when three letters picked without replacement from mooopmookkmpmooom? 1/51 Two letters picked without replacement from xxxjxj. What is prob of sequence xx? 2/5 Two letters picked without replacement from {p: 1, o: 1, k: 2}. What is prob of sequence kp? 1/6 Four letters picked without replacement from jjjiljihiejhhji. What is prob of sequence hjjl? 1/364 Calculate prob of sequence gg when two letters picked without replacement from ggg. 1 What is prob of sequence ob when two letters picked without replacement from zbbonwqw? 1/28 Calculate prob of sequence poo when three letters picked without replacement from {o: 9, p: 11}. 11/95 Two letters picked without replacement from {y: 1, e: 8, x: 6}. What is prob of sequence ye? 4/105 Two letters picked without replacement from ccgylcgxggcclcg. Give prob of sequence ll. 1/105 Calculate prob of sequence cvn when three letters picked without replacement from {q: 1, m: 1, n: 1, y: 1, c: 2, v: 1}. 1/105 Calculate prob of sequence fn when two letters picked without replacement from kjkfljkjffkxfnkk. 1/60 Three letters picked without replacement from ijhvjkky. Give prob of sequence vji. 1/168 Four letters picked without replacement from hrnxrkr. Give prob of sequence rkxn. 1/280 Calculate prob of sequence rrrr when four letters picked without replacement from {h: 1, r: 7, j: 1}. 5/18 Four letters picked without replacement from zgfg. Give prob of sequence gfgz. 1/12 Four letters picked without replacement from eueaeooeeuex. Give prob of sequence oxae. 1/990 Two letters picked without replacement from zkpguhp. What is prob of sequence kp? 1/21 What is prob of sequence be when two letters picked without replacement from {q: 4, d: 2, b: 3, e: 10}? 5/57 Calculate prob of sequence ny when two letters picked without replacement from {y: 5, n: 2, s: 4}. 1/11 What is prob of sequence sgs when three letters picked without replacement from {s: 4, g: 16}? 8/285 Calculate prob of sequence ppkk when four letters picked without replacement from {p: 2, k: 7}. 1/36 What is prob of sequence conr when four letters picked without replacement from ncccaorrcnrsc? 1/572 What is prob of sequence rz when two letters picked without replacement from rzr? 1/3 Calculate prob of sequence qsq when three letters picked without replacement from {q: 7, s: 1}. 1/8 Three letters picked without replacement from iiijiijijjiiijiiiii. What is prob of sequence jii? 455/2907 Calculate prob of sequence tv when two letters picked without replacement from dkkvtkkv. 1/28 Calculate prob of sequence hd when two letters picked without replacement from hhddhhhhhhdbhhdddh. 11/51 Three letters picked without replacement from {o: 5, s: 3, n: 3, f: 4, l: 4}. What is prob of sequence llf? 8/969 What is prob of sequence yyse when four letters picked without replacement from ttysyett? 1/840 Four letters picked without replacement from {p: 8, n: 2, f: 2, z: 7}. Give prob of sequence npfn. 1/2907 Calculate prob of sequence yuye when four letters picked without replacement from yuyuyuuyyuuyeuuuyuu. 77/15504 Two letters picked without replacement from {n: 18, e: 1}. Give prob of sequence ne. 1/19 Calculate prob of sequence vv when two letters picked without replacement from vbvbbbvvvhb. 2/11 Calculate prob of sequence cgdd when four letters picked without replacement from dqcqwqwdwdg. 1/1320 Calculate prob of sequence hh when two letters picked without replacement from {h: 3, p: 5, j: 4, f: 1}. 1/26 Two letters picked without replacement from {j: 1, v: 1, g: 2, b: 1, s: 1, k: 1}. Give prob of sequence vg. 1/21 Three letters picked without replacement from {n: 1, g: 4, d: 1, f: 2}. What is prob of sequence ndg? 1/84 What is prob of sequence ffg when three letters picked without replacement from {g: 1, p: 2, f: 11}? 55/1092 Three letters picked without replacement from {g: 8, u: 1, w: 2, m: 3, h: 4, j: 2}. Give prob of sequence whj. 2/855 Calculate prob of sequence aa when two letters picked without replacement from {l: 5, a: 3, w: 5}. 1/26 What is prob of sequence swoo when four letters picked without replacement from hhoohwsfqff? 1/3960 What is prob of sequence tteu when four letters picked without replacement from {e: 1, x: 1, t: 2, u: 1}? 1/60 What is prob of sequence aaf when three letters picked without replacement from saf? 0 Four letters picked without replacement from nqqrnrnonrqnqnr. What is prob of sequence rrrr? 1/1365 Two letters picked without replacement from ojroooroeroj. What is prob of sequence jj? 1/66 Calculate prob of sequence so when two letters picked without replacement from {o: 12, s: 6}. 4/17 Calculate prob of sequence hunn when four letters picked without replacement from nuhunnnhh. 1/42 What is prob of sequence ppkz when four letters picked without replacement from pzbbzkczzzzbzppzpz? 1/680 What is prob of sequence le when two letters picked without replacement from gwweel? 1/15 Four letters picked without replacement from {r: 2, m: 2, q: 4}. Give prob of sequence mqrq. 1/35 Calculate prob of sequence iiii when four letters picked without replacement from iiiii. 1 Calculate prob of sequence qqq when three letters picked without replacement from {q: 7}. 1 What is prob of sequence tt when two letters picked without replacement from tttttttttt? 1 What is prob of sequence zf when two letters picked without replacement from krryrrzkkkfmzf? 2/91 Two letters picked without replacement from {z: 2, n: 1, u: 6, x: 1, q: 8}. What is prob of sequence qx? 4/153 Calculate prob of sequence qor when three letters picked without replacement from {q: 1, r: 5, o: 5, u: 7}. 25/4896 What is prob of sequence jj when two letters picked without replacement from kkjjkkkkkjj? 6/55 Three letters picked without replacement from xuxxxuwuxuxuxuwxxu. What is prob of sequence wwx? 1/272 Calculate prob of sequence la when two letters picked without replacement from sllabaasblaalalsall. 49/342 What is prob of sequence fgv when three letters picked without replacement from oofjoovokofooggkof? 1/816 Four letters picked without replacement from {w: 1, h: 1, d: 1, b: 2, o: 1, r: 1}. Give prob of sequence odhb. 1/420 Calculate prob of sequence jljw when four letters picked without replacement from wjjwl. 1/30 Two letters picked without replacement from {s: 1, l: 3, b: 3, t: 3, d: 1}. Give prob of sequence tb. 9/110 Two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
at is 11922 to the power of 1/3, to the nearest integer? 23 What is the square root of 2219 to the nearest integer? 47 What is the cube root of 6710 to the nearest integer? 19 What is 5005 to the power of 1/3, to the nearest integer? 17 What is the cube root of 6420 to the nearest integer? 19 What is the third root of 2466 to the nearest integer? 14 What is the third root of 3991 to the nearest integer? 16 What is 52828 to the power of 1/2, to the nearest integer? 230 What is 44717 to the power of 1/3, to the nearest integer? 35 What is the eighth root of 3712 to the nearest integer? 3 What is the third root of 3118 to the nearest integer? 15 What is the sixth root of 2963 to the nearest integer? 4 What is the seventh root of 34717 to the nearest integer? 4 What is the third root of 1676 to the nearest integer? 12 What is the third root of 28250 to the nearest integer? 30 What is the third root of 28175 to the nearest integer? 30 What is the square root of 24498 to the nearest integer? 157 What is 489 to the power of 1/2, to the nearest integer? 22 What is the sixth root of 32529 to the nearest integer? 6 What is the third root of 73921 to the nearest integer? 42 What is the third root of 3938 to the nearest integer? 16 What is the square root of 12052 to the nearest integer? 110 What is 11023 to the power of 1/3, to the nearest integer? 22 What is the square root of 19604 to the nearest integer? 140 What is the fifth root of 2723 to the nearest integer? 5 What is 9456 to the power of 1/3, to the nearest integer? 21 What is the cube root of 812 to the nearest integer? 9 What is the sixth root of 4 to the nearest integer? 1 What is the ninth root of 23534 to the nearest integer? 3 What is the seventh root of 3468 to the nearest integer? 3 What is 153918 to the power of 1/5, to the nearest integer? 11 What is 19595 to the power of 1/9, to the nearest integer? 3 What is 626 to the power of 1/3, to the nearest integer? 9 What is 5225 to the power of 1/2, to the nearest integer? 72 What is the square root of 60490 to the nearest integer? 246 What is 10168 to the power of 1/2, to the nearest integer? 101 What is 637 to the power of 1/9, to the nearest integer? 2 What is the square root of 11999 to the nearest integer? 110 What is the cube root of 771 to the nearest integer? 9 What is 835 to the power of 1/2, to the nearest integer? 29 What is 41194 to the power of 1/9, to the nearest integer? 3 What is the seventh root of 270 to the nearest integer? 2 What is the third root of 20757 to the nearest integer? 27 What is the ninth root of 92523 to the nearest integer? 4 What is the square root of 46138 to the nearest integer? 215 What is 2178 to the power of 1/3, to the nearest integer? 13 What is the fifth root of 2944 to the nearest integer? 5 What is 47130 to the power of 1/3, to the nearest integer? 36 What is 5717 to the power of 1/5, to the nearest integer? 6 What is the square root of 717 to the nearest integer? 27 What is 15005 to the power of 1/5, to the nearest integer? 7 What is 44231 to the power of 1/10, to the nearest integer? 3 What is the square root of 535 to the nearest integer? 23 What is the seventh root of 33567 to the nearest integer? 4 What is the cube root of 561 to the nearest integer? 8 What is the ninth root of 3036 to the nearest integer? 2 What is the square root of 81 to the nearest integer? 9 What is the tenth root of 1271 to the nearest integer? 2 What is the square root of 8869 to the nearest integer? 94 What is 1751 to the power of 1/2, to the nearest integer? 42 What is the third root of 3193 to the nearest integer? 15 What is 3742 to the power of 1/3, to the nearest integer? 16 What is the cube root of 3089 to the nearest integer? 15 What is 501 to the power of 1/3, to the nearest integer? 8 What is the square root of 2516 to the nearest integer? 50 What is the square root of 19469 to the nearest integer? 140 What is 8458 to the power of 1/2, to the nearest integer? 92 What is 14548 to the power of 1/2, to the nearest integer? 121 What is 77199 to the power of 1/7, to the nearest integer? 5 What is the third root of 5520 to the nearest integer? 18 What is the sixth root of 20798 to the nearest integer? 5 What is the cube root of 1982 to the nearest integer? 13 What is the ninth root of 32836 to the nearest integer? 3 What is the third root of 11491 to the nearest integer? 23 What is the seventh root of 1439 to the nearest integer? 3 What is the fourth root of 5911 to the nearest integer? 9 What is the tenth root of 1879 to the nearest integer? 2 What is 14239 to the power of 1/9, to the nearest integer? 3 What is 87911 to the power of 1/3, to the nearest integer? 44 What is the third root of 203 to the nearest integer? 6 What is 707 to the power of 1/3, to the nearest integer? 9 What is the fifth root of 1245 to the nearest integer? 4 What is 8838 to the power of 1/2, to the nearest integer? 94 What is the square root of 6750 to the nearest integer? 82 What is the fifth root of 87 to the nearest integer? 2 What is the third root of 51569 to the nearest integer? 37 What is the cube root of 13324 to the nearest integer? 24 What is the sixth root of 309 to the nearest integer? 3 What is 34439 to the power of 1/9, to the nearest integer? 3 What is the square root of 1458 to the nearest integer? 38 What is 5413 to the power of 1/2, to the nearest integer? 74 What is 19173 to the power of 1/3, to the nearest integer? 27 What is 18404 to the power of 1/9, to the nearest integer? 3 What is 1095 to the power of 1/5, to the nearest integer? 4 What is the seventh root of 9647 to the nearest integer? 4 What is the third root of 2887 to the nearest integer? 14 What is the ninth root of 49824 to the nearest integer? 3 What is 33966 to the power of 1/2, to the nearest integer? 184 What is 7634 to the power of 1/6, to the nearest integer? 4 What is the square root of 7841 to the nearest integer? 89 What is 9779 to the power of 1/3, to the nearest integer? 21 What is 2710 to the power of 1/2, to the nearest integer? 52 What is 1303 to the power of 1/2, to the nearest integer? 36 What is 641 to the power of 1/8, to the nearest integer? 2 What is 723 to the power of 1/5, to the nearest integer? 4 What is the fifth root of 243 to the nearest integer? 3 What is the square root of 201468 to the nearest integer? 449 What is the square root of 47221 to the nearest integer? 217 What is 21553 to the power of 1/2, to the nearest integer? 147 What is 321 to the power of 1/8, to the nearest integer? 2 What is 1248 to the power of 1/8, to the nearest integer? 2 What is 11783 to the power of 1/7, to the nearest integer? 4 What is 49092 to the power of 1/3, to the nearest integer? 37 What is the third root of 76651 to the nearest integer? 42 What is the square root of 8142 to the nearest integer? 90 What is 3383 to the power of 1/2, to the nearest integer? 58 What is 443 to the power of 1/2, to the nearest integer? 21 What is 31575 to the power of 1/4, to the nearest integer? 13 What is the square root of 28722 to the nearest integer? 169 What is the square root of 14611 to the nearest integer? 121 What is 8641 to the power of 1/3, to the nearest integer? 21 What is the fourth root of 10049 to the nearest integer? 10 What is 115967 to the power of 1/4, to the nearest integer? 18 What is 61455 to the power of 1/2, to the nearest integer? 248 What is the third root of 20912 to the nearest integer? 28 What is 7547 to the power of 1/3, to the nearest integer? 20 What is the third root of 168426 to the nearest integer? 55 What is the eighth root of 3461 to the nearest integer? 3 What is 1042 to the power of 1/2, to the nearest integer? 32 What is 11726 to the power of 1/8, to the nearest integer? 3 What is the square root of 19547 to the nearest integer? 140 What is the square root of 5020 to the nearest integer? 71 What is 30679 to the power of 1/2, to the nearest integer? 175 What is 46894 to the power of 1/10, to the nearest integer? 3 What is 3203 to the power of 1/3, to the nearest integer? 15 What is the fourth root of 4215 to the nearest integer? 8 What is 48726 to the power of 1/10, to the nearest integer? 3 What is the third root of 4200 to
{ "pile_set_name": "DM Mathematics" }
/30 + 11*o**2. Let k(i) = 21*i. Determine m(k(g)). -882*g**2 Let s(i) = -26*i. Let j(z) = -7*z**2 - 17*z. Give s(j(a)). 182*a**2 + 442*a Let u(p) = -7*p**2 + 19*p**2 - 10*p**2. Let i(l) be the first derivative of -l**3/3 + 1. Determine u(i(c)). 2*c**4 Suppose 4*y = 3 + 5. Let z(p) = y*p + p - p. Let o(j) be the second derivative of j**3/3 - 4*j. What is z(o(f))? 4*f Let n(d) = 3*d. Let u(g) = -579*g**2. Calculate u(n(z)). -5211*z**2 Let k(h) = 3*h**2. Let b(y) = 55*y. Calculate b(k(o)). 165*o**2 Let t(z) = 10*z - 13*z + 3*z + z**2. Let p(n) = 4*n**2. Determine p(t(d)). 4*d**4 Let g(x) = -5*x**2. Let j(y) be the third derivative of -5*y**4/6 - 51*y**2. What is j(g(w))? 100*w**2 Let s(r) = 4*r**2. Let v(b) be the third derivative of b**6/360 - 5*b**4/24 - 4*b**2. Let a(u) be the second derivative of v(u). Give a(s(o)). 8*o**2 Let s(j) = 5*j**2 - 3. Let b(d) = 4*d**2 - 2. Let g(x) = 6*b(x) - 4*s(x). Let o(c) = 4*c - c - c. Calculate g(o(y)). 16*y**2 Let p(q) = 0 + 24*q**2 - 26*q**2 + 0. Let l(w) = -37*w**2. What is l(p(x))? -148*x**4 Let c(k) = 3*k**2. Let g = -2 + 4. Let z(j) = j - j + g*j - 3*j. Calculate z(c(q)). -3*q**2 Let g(r) be the third derivative of 13*r**4/24 - 12*r**2. Let o(l) = 2*l. Determine g(o(f)). 26*f Let t(b) = -4 - b**2 + 4. Let v(o) = 7*o**2 + 6*o + 6. Let p(n) = -6*n**2 - 5*n - 5. Let q(m) = -6*p(m) - 5*v(m). What is t(q(r))? -r**4 Let t(d) = 2*d**2 - 12*d. Let r(c) = 2*c**2. Determine t(r(x)). 8*x**4 - 24*x**2 Let m(k) = 9*k. Let w(n) = -11*n. Let o(c) = -155*c. Let l(r) = -6*o(r) + 85*w(r). Let t(b) = 5*l(b) + 3*m(b). Let j(q) = 8*q**2. Calculate t(j(a)). 16*a**2 Let b(n) = -202*n + 2. Let f(j) = -2*j**2. Calculate b(f(t)). 404*t**2 + 2 Let y(o) = 3*o. Let r(j) = -110*j - 107*j + 2*j**2 + 217*j. Give r(y(z)). 18*z**2 Let q(c) be the second derivative of c**4/2 - c. Let y(w) = w**2 - 11*w**2 + 5*w**2 + 4*w**2. Calculate q(y(d)). 6*d**4 Let u(d) = 27*d. Let p(f) be the third derivative of f**5/60 - 18*f**2. What is p(u(v))? 729*v**2 Let v(z) = -8*z. Let k(i) = -2*i. Let f(h) = 9*h + 6. Let b(g) = 19*g + 13. Let p(s) = -6*b(s) + 13*f(s). Let x(c) = 10*k(c) + 6*p(c). Give x(v(t)). 16*t Let z(i) = -12*i - 6*i**2 + 12*i. Let n(t) = -t**2. Calculate z(n(d)). -6*d**4 Let u(i) = -2*i**2. Let f(s) = 593*s**2. Determine u(f(h)). -703298*h**4 Let x(m) = 0*m**2 + 5*m**2 - 3*m**2. Let a(i) = -i**2 + 5*i - 4. Let t be a(3). Let o(c) = -t*c - 2*c + 2*c. What is o(x(l))? -4*l**2 Let q(m) = -3*m. Let a(s) = -29*s + 6. Determine a(q(y)). 87*y + 6 Let s(c) = 6*c + 5*c + 4*c - 3 - 6*c. Let h(a) = 3*a. Give s(h(k)). 27*k - 3 Let x(t) = -2*t**2. Let l(s) = 1. Let z(n) = 7*n + 3. Let f(y) = -6*l(y) + 2*z(y). Give f(x(q)). -28*q**2 Let t(x) = -2*x**2. Let g(v) = 3*v**2 + v. Let a be g(-1). Let p(h) = -9 - 3*h**a + 9. What is t(p(o))? -18*o**4 Let w(r) = -9*r. Let k(u) be the first derivative of 5*u**3/3 - 20. Give k(w(n)). 405*n**2 Let v(t) = 2*t**2. Let b(n) = n**2. Suppose 52 = 4*h - 4*s, 5*h - 31 = 3*h + s. Let f(k) = -21*k**2. Let q(r) = h*b(r) + f(r). Determine q(v(z)). -12*z**4 Let r(l) = 3*l - 6*l - 5*l. Let k(g) be the third derivative of g**2 + 0 + 0*g**3 + 1/24*g**4 + 0*g. Calculate k(r(j)). -8*j Let g(j) = j**2 - 32 + 32. Let c(z) = -8*z**2. Determine c(g(w)). -8*w**4 Let v = 10 + -1. Suppose 1 + v = 5*r. Let p(w) = -2 + r - 11*w**2 + 13*w**2. Let b(n) = -2*n. Give p(b(u)). 8*u**2 Let x(v) be the first derivative of -v**2 - 11. Let z(r) = 25*r**2. Give x(z(c)). -50*c**2 Let t be 21/(-6)*24/(-4). Let h(x) = -2*x + x + 21 - t. Let c(m) = 14*m. Calculate c(h(g)). -14*g Let c(b) be the first derivative of -5 + 0*b - 2/3*b**3 + 0*b**2. Let s(g) = -3*g**2 - 3*g**2 + 5*g**2. Give s(c(z)). -4*z**4 Let x(l) = 52*l. Let g(f) = -f**2. Give x(g(i)). -52*i**2 Let j(f) = f**2. Let a(o) = -14*o**2 - 14*o**2 + 25*o**2. What is a(j(t))? -3*t**4 Let o(d) = 2*d - d + d. Let c(n) = n**2 + 10*n + 11. Let s be c(-9). Let p(a) = -s*a**2 + 3*a**2 + 2*a**2 - a**2. What is p(o(x))? 8*x**2 Suppose 0*w + 14 = 3*j + 2*w, 3*w - 6 = 3*j. Let r(a) be the second derivative of 0*a**j + 0 - a + 1/2*a**3. Let d(i) = i. Determine d(r(v)). 3*v Let w(i) = 9*i - 6. Let v(u) = -u + 0 + 2*u - 1. Let m(b) = -6*v(b) + w(b). Let p(d) be the first derivative of -d**2/2 + 18. Calculate m(p(h)). -3*h Let x(v) = -8*v. Let r(h) = 8*h. Give r(x(p)). -64*p Let h(n) be the third derivative of n**5/20 + 15*n**2. Let y(r) = 2*r. Determine y(h(d)). 6*d**2 Let k(p) = -44*p. Let s(r) = -4*r**2 + 5*r - 5. Let f(i) = -5*i**2 + 6*i - 6. Let q(w) = 5*f(w) - 6*s(w). Give k(q(d)). 44*d**2 Let j(t) = 1. Let f(c) = -c**2 + 3. Let u(w) = f(w) - 3*j(w). Let m(r) = 27*r**2. Give u(m(n)). -729*n**4 Let l(w) = -2*w + 190. Let x(q) = q. Give l(x(f)). -2*f + 190 Let j(p) = p. Let b(i) = i. Let h(m) = 4*b(m) - 2*j(m). Let s(o) = -4*o. Calculate h(s(d)). -8*d Let h(d) = -d. Let z(w) = 31 - 31 - 3*w**2. Calculate z(h(j)). -3*j**2 Let u(j) = 5*j**2 - 4*j. Let n(b) be the third derivative of b**5/60 - b**4/24 - 4*b**2. Let d(z) = -4*n(z) + u(z). Let k(a) = 3*a**2. What is d(k(o))? 9*o**4 Let i(c) = 186*c**2. Let j(f) = 2*f. What is j(i(t))? 372*t**2 Let j = -6 - -8. Let s(c) = 2*c + c**2 - j*c. Let p(q) = -3*q. Give s(p(g)). 9*g**2 Let o(l) = l**2 - 2*l. Let z(d) = -d**2 + d. Let v(h) = 3*o(h) + 6*z(h). Let n(m) = -48*m + m**2 + 48*m. Give n(v(p)). 9*p**4 Let q(v) = v. Let h(m) be the second derivative of 0 + 0*m**2 + 0*m**3 + 1/6*m**4 + 3*m. Calculate h(q(i)). 2*i**2 Let j(t) = 11*t**2. Let f(x) = -6932 + 6932 - 7*x. Determine j(f(z)). 539*z**2 Let h(d) = 2*d**2 - 507. Let s(i) = -3*i**2. Determine h(s(m)). 18*m**4 - 507 Let l(f) = -2*f**2. Let v(m) be the third derivative of 0*m**3 + 0*m**4 - 1/20*m**5 + 0*m - 4*m**2 + 0. What is v(l(q))? -12*q**4 Let j(s) = -9*s. Let d(g) = 231*g. Determine d(j(t)). -2079*t Let y(u) = -5*u. Let s(k) = -204*k. What is s(y(t))? 1020*t Let b(c) = 374*c. Let m(y) = -3*y**2. Determine b(m(a)). -1122*a**2 Let b(q) = -40*q. Let o(c) = -c. Let h(w) = 2*b(w) - 72*o(w). Let u(k) = 2*k**2. What is h(u(g))? -16*g**2 Let s(f) = 2*f. Let j(q) be the third derivative of -q**6/360 + 5*q**4/24 - 2*q**2. Let u(o) be the second derivative of j(o). What is s(u(g))? -4*g Let a(d) = -3*d - 27. Let b(t) = t. What is a(b(f))? -3*f - 27 Let h(a) = 0*a**2 + 0*a**2 - a**2. Let z(c) = 38*c**2 + 39*c**2 - 82*c**2. What is z(h(r))? -5*r**4 Let t(s) = 10*s - 281. Let j(m) = m**2. Give j(t(f)). 100*f**2 - 5620*f + 78961 Let c(y) = y. Let v be 1/2*(3 + 1). Let p(q) = 2*q**2 - 7*q**2 + 3*q**v + q**2. Determine c(p(m)). -m**2 Let b(m) = 2*m**2. Suppose 30 = -0*c + 5*c. Let v be (-3 - c/(-3))*-2. Let s(d) = -d**2 - 3*d**v - d**2. Give b(s(q)). 50*q**4 Let t(m) = m**2 - 8. Let c(r) = 96*r**2. Calculate t(c(b)). 9216*b**4 - 8 Let a(q) be the second derivative of -q**4/6 + 7*q. Let j(f) = 5*f. Determine j(a(v)). -10*v**2 Let l(y) = -17*y + 3*y + 10*y. Let d(p) = -3*p. What is l(d(u))? 12*u Let k(c) = 4*c**2. Let b(s) = 924*s. Calculate k(b(f)). 3415104*f**2 Let l(j) = -4*j - 12 + 4 + 8. Let k(x) be the second derivative of x**5/60 + x**3/6 + x. Let g(d) be the second derivative of k(d). Calculate g(l(i)). -8*i Let s(k) = -72*k. Let p(y) = -7*y**2. Determine p(s(o)). -36288*o**2 Let z(q) = 2*q**2 - 76*q. Let i(u) = u. Calculate i(z(r)). 2*r**2 - 76*r Let d(j) = -j - 5*j + 2*j + 2*j. Let o(f) = 2*f. Determine d(o(b)). -4*b Let r(o) = 24*o**2. Let z be r(1). Let l(s) = -9*s**2 - 5*s + 5. Let i(x) = 44*x**2 + 24*x - 24. Let d(t) = z*l(t) + 5*i(t). Let a(w) = 2*w**2. Give a(d(c)). 32*c**4 Suppose -n = 5*b + 7 - 29, 0 = -3*n - 9. Let o(s) = -b*s**2 + 0*s**2 + 3*s**2. Let a(f) = f. Calculate a(o(r)). -2*r**2 Let z(r) = r**2. Let j(i) = 2*i - 2719. Give j(z(n)). 2*n**2 - 2719 Suppose 0 = -4*v - 1 + 5. Let a(j) = -4*j + 4 - v - 3. Let m(o) = o**2. Give a(m(y)). -4*y**2 Let g(k) = -9*k + 2. Let j(o) = 37*o - 9. Let d(w) = 9*g(w) + 2*j(w). Let t(n) = n**2. Give t(d(h)). 49*h**2 Let l(q) = 6*q**2. Let v(t) = -t**2. Let u(n) = -l(n) - 5*v(n). Let g(z) = -4*z**2. Calculate g(u(h)). -4*h**4 Let x(i) = 4*i**2. Let k(m) = 2*m - m + 4*m - 4*m. Let b(g) = 1. Let a(z) = -z - 2. Let p(j) = a(j) + 2*b(j). Let v(n) = -k(n) - 2*p(n). Determine x(v(h)). 4*h**2 Let j(r) = 0*r**2 + r**2 - 2*r**2. Let b(z) be the first derivative of -z*
{ "pile_set_name": "DM Mathematics" }
value? (a) k (b) 5 (c) 0.4 (d) 2 d Suppose -u + 5*f = 14, 0 = 3*f - 6 - 0. Let p = -4.02 + -0.18. Let j = p + 4.6. Which is the third smallest value? (a) u (b) 2/19 (c) j c Let z be 6/33 + 3/(-429)*4. Let h = 49/65 - z. Suppose -t - 2*u = 23, -4*t + 0*u - 5*u - 92 = 0. What is the biggest value in 5, t, h? 5 Suppose 5*p - 5*q + 53 = 3, -p = 2*q - 5. Let g = 725 + -726. Which is the second biggest value? (a) 0.13 (b) -0.1 (c) p (d) g b Let i = 0.07 + -0.47. Let x = 0.64 + -0.74. What is the third biggest value in i, 3/7, x? i Let k be ((-11)/(-2) + -3)*(-4)/(-5). Let x = -0.2 - -0.5. Let q = x + -0.7. What is the third smallest value in q, -3/4, k? k Suppose 0 = 4*i - 2*g - 26, 3*g = 2*g - 1. Let s be (i/(-28))/(2/(-4)). Which is the biggest value? (a) 1 (b) -0.2 (c) s a Let w = 2.325 + -1.9. Let t = 0.025 - w. What is the third smallest value in 2, t, -1/5? 2 Let n = 13 + -4. Let g = n + -4. Which is the second smallest value? (a) g (b) -1/5 (c) -4 b Let w(v) = 5*v**2 - 110*v - 3. Let f be w(22). What is the second smallest value in 5, f, -5? f Let f = 236 + -236.06. Let v = 1.8 - 3.8. What is the second biggest value in -3, f, v? v Suppose -4*t = k, 5*k + t = -t + 18. Let y = 3.4 - 1.6. Let g = y - 2.1. Which is the third biggest value? (a) g (b) k (c) -2/7 a Let q = -0.112 + -88.888. Let o = 84 + q. Which is the second biggest value? (a) 0.3 (b) o (c) -2 c Let y = 101 - 100.96. What is the smallest value in -0.47, y, -2/3? -2/3 Let l = -4.27 + 2.27. Which is the biggest value? (a) 1 (b) 6 (c) l (d) 4/5 b Let j = 408 - 404. Which is the second smallest value? (a) j (b) 40 (c) 0.1 a Let n = -8459236/207 - -40866. Let w = n - 8/23. What is the second smallest value in w, 0, -1/2? w Let u be ((6 - 4) + -3)*-1. Let w be 5/(-20)*(1 + u). What is the second smallest value in 2, w, 1/2? 1/2 Let u = -570.46 - -564. Let j = u - -7. Let z = j - 0.04. What is the second smallest value in z, 1/9, 5? z Let k = -0.3 - 0.1. Suppose -10*z - 5 = -11*z + 2*z. What is the second smallest value in 2/5, k, z, 4? k Let s be 19/(-4) - (-12)/16. What is the biggest value in 2/5, s, -0.54? 2/5 Suppose 77 = -3*v - 82. What is the third biggest value in 5, 0, v, -3? -3 Let z = -3 - -2. Let r be 2/(-16) + 195/312. What is the second biggest value in -3, 6/5, r, z? r Let i be (-4)/(-7)*(-252)/(-1080). What is the third smallest value in 4, i, 2, 5? 4 Let t = 15.13 + -15. Let v = -0.2 + t. Let j = v - -0.07. What is the biggest value in 0.4, 1, j? 1 Suppose -f - 4*r - 3 = 20, 4*f = 4*r - 32. Which is the smallest value? (a) -6/7 (b) 5 (c) f (d) 0 c Let m = -375.3 - -375. Let h = 0 - 3. Which is the biggest value? (a) 3/7 (b) m (c) h a Let n(b) = -5*b + 6. Let v be n(-5). Let d = 31 - v. What is the second smallest value in -0.2, -7, d? -0.2 Let i = 0.11 - -3.89. Let q be (-1859)/(-338) - 2/(-4)*-1. Which is the biggest value? (a) i (b) 2/3 (c) q (d) -0.3 c Let x = -2.97 + 3. Let m = x - -1.97. Let d = -361 + 360.7. What is the third biggest value in d, m, 0.1? d Let p(t) = t**3 + 4*t**2 + 5*t + 4. Let o be p(-3). Let j = 0.12 - 0.52. Let f = -0.6 + j. Which is the smallest value? (a) o (b) -8 (c) f b Suppose -r + 7 = m, -5*m - 4*r + 29 = -2*r. Let u = m + -6. Let t be (0/(-7))/(1/u). What is the biggest value in 1/4, t, -2? 1/4 Let z = -240 + 238.4. What is the second smallest value in -4, z, -2, 1/8? -2 Suppose 0*v = 5*v - 60. Let k be ((-8)/v)/(4/(-9)). Let t = -190 - -1332/7. Which is the second smallest value? (a) k (b) 1/3 (c) t b Let l = -7 - -10. Let t = 106 + -2440/23. Let g be -2 + ((-16)/(-12) - 0). Which is the second smallest value? (a) g (b) t (c) l b Let s = 59 + -5. Let w = s + -57. What is the second biggest value in 0, w, 27? 0 Let t = -11.83 + 14.56. Which is the biggest value? (a) t (b) 1 (c) -2 a Let d = -7680/23 - -334. Let u = 0 - -3. Let i be -1 - -1*(u + -1). Which is the third biggest value? (a) -1 (b) i (c) d a Suppose 10 = -2*y, 22 = 5*d - 2*y + 2. Let p be (1 + 52/(-40))*d - -1. What is the second smallest value in -1, -1.5, p? -1 Let k = 127030622497987/741718638444 + 7/330092852. Let o = -46/2247 - k. Let z = 171 + o. Which is the second smallest value? (a) 0.5 (b) -0.2 (c) z b Suppose -o + 5*w = -0*o + 24, 0 = -4*o - 5*w + 29. Let a = -0.2 + -0.02. Let v = -0.08 + a. What is the biggest value in o, 3, v? 3 Let w = -71.9 - -75. Let d = -0.1 + w. Let m = -0.5 - 1.5. Which is the second smallest value? (a) m (b) d (c) 5 b Let j = 9/16 + 243/16. Suppose d - 11 - 5 = 0. Let r = d - j. Which is the second smallest value? (a) -1/2 (b) -2 (c) r a Let u = -0.1769 + -0.8231. What is the second biggest value in 5, -67, u? u Let a = 304 + -1215/4. What is the biggest value in 0.1, 0.05, a, -4? a Let p = -44 + 48. Let o = 2.5 - 2.3. Which is the smallest value? (a) -4 (b) p (c) o a Let p = -2.85 - -3.15. What is the fourth biggest value in p, 5, -1/5, 3/20? -1/5 Let v = -163/435 + 7/29. Which is the smallest value? (a) 4 (b) v (c) -214 c Let v be (-108)/(-270)*(-3)/(6/(-4)). Which is the third smallest value? (a) 0.2 (b) -2/11 (c) v (d) 0.05 a Let d = 102.63 + -103. Let k = 3.37 + d. What is the third smallest value in 5, 2/9, -2, k? k Let i = -1577/25 + 63. Which is the second smallest value? (a) 1/4 (b) -13/15 (c) i c Let i = -0.921 + 1.321. Which is the second biggest value? (a) -5 (b) i (c) -0.69 c Let i = -2529 + 2531.8. What is the third biggest value in i, -1, -3, 2/7? -1 Let n = -0.088 - 0.012. What is the smallest value in -2, n, -4/7, -2/9? -2 Let t be ((1 - 4)/(-3))/(42/28). Let g = -0.05 - -0.55. What is the fourth biggest value in -8, -0.5, g, t? -8 Let b be (-1)/(-2) + 0/(-3). Let r be 108/1053*(-3)/(-2). What is the second biggest value in 7, r, -1/10, b? b Suppose -123 = -4*s + 85. Let a = s + -57. What is the smallest value in 2/9, a, -0.1? a Let f = 11/3 + -13/6. Let t(q) = -q**3 + 5*q**2 + 15*q - 58. Let z be t(3). Which is the smallest value? (a) -2.8 (b) f (c) z a Let a = -1956.92 + 1957. What is the third biggest value in a, -0.5, -42? -42 Suppose -7*r + 5*r = 0. Suppose 4*o = 3*g - 2*g + 11, g - 2*o + 3 = r. Which is the biggest value? (a) g (b) -1/5 (c) -1/4 a Let a = -1.02 + 1. What is the second smallest value in a, -5, 23/2? a Let f = -10 - -10.3. Let m = -13 + 36. Let g = 19 - m. What is the biggest value in f, g, -1/7? f Let u(d) = d - 6. Let m(v) = v - 7. Let k(s) = 4*m(s) - 3*u(s). Let t be k(11). Let c be t + (10/(-3) - -2). What is the third smallest value in 1/3, c, -0.1? 1/3 Let g = -35 - -20. Let v = g + 14. Which is the second smallest value? (a) 5 (b) v (c) -3/7 c Let h = 90.36 + -90.3. What is the biggest value in 0, -7, 5, h? 5 Let j = -38 + 73. Let k = -37 + j. Let t(u) = u**3 - 5*u**2 + 3*u + 5. Let s be t(4). Which is the biggest value? (a) -0.5 (b) k (c) s c Let u = -0.04926 - 3.99174. Let s = -0.041 - u. Let i = 8 + -3. What is the third smallest value in -4, s, i? i Let g = 6.22 - 0.22. Let h = g - 6. What is the third biggest value in -2/5, h, 0.04? -2/5 Let n(i) = i**2 - 5*i - 4. Let r be n(6). Let v = 2 + -2.01. Let f = 1.01 + v. Which is the third biggest value? (a) 0.4 (b) f (c) r a Let n(b) = -7*b + 4. Let y(k) = -k**3 + 3*k**2 + 3*k + 5. Let l be y(4). Let v be n(l). What is the third smallest value in -0.5, -2/11, -1, v? -0.5 Let d = 253 + -257. What is the second biggest value in 3.3, 0, d? 0 Let q = 1413 - 1432. What is the second biggest value in 2/9, q, 2, -0.3? 2/9 Let w = -27.25 - -23.25. Which is the third biggest value? (a) -3/5 (b) 13 (c) w c Let w = -4 + 2.9. Let t = w - -0.8. Let m(y) = -2*y**2 - 63*y + 40. Let d be m(-32). Which is the second smallest value? (a) d (b) t (c) -3/4 b Let d be (28/(-6) - -4)/(70/210). Let c = -4514 + 18221/4. Let g = -41 + c. What is the second biggest value in 2, g, d? g Let i = -7 - -7.09. Let y = 1.09 - i. Let s = 1 - 1.3. Which is the biggest value? (a) s (b) y (c) 0 b Let l = 0.2 - 0.6. Let y = l + -0.1. Let d be (-297)/(-315) - 8/(-10)*-1. Which is the third biggest value? (a) 2 (b) y (c) d b Let k = -132 + 144.2. Let y = -12 + k. Let u = -0.5 + 0.1. Which is the smallest value? (a) y (b) -3/2 (c) u b Let t(d) = 20*d + 35. Let m be t(-2). L
{ "pile_set_name": "DM Mathematics" }