-11). What is x in -q - 514*x**3 - 29*x**4 + 429*x**2 - 7*x**4 + 871*x**3 + 3*x = 0?
-1, -1/3, 1/4, 11
Let 22/3*x**2 - 160/3 + 28/3*x + 2/3*x**3 = 0. What is x?
-8, -5, 2
Let a be (0/(-201) + (2 - 1))*2. Find k, given that -6/13*k + 8/13 - 2/13*k**a = 0.
-4, 1
Let j(f) = -f**2 - f. Suppose 11 = 10*t + 31. Let u(v) = 20*v**2 - 4 - 4*v**2 - 13*v + 11*v**2. Let z(n) = t*u(n) - 10*j(n). Factor z(r).
-4*(r - 1)*(11*r + 2)
Let l(t) = t**3 - 30*t**2 - 298*t + 48. Let p be l(-8). Factor -3/4*m**5 + 1/2*m**2 + 1/4*m**3 + p + 0*m - m**4.
-m**2*(m + 1)**2*(3*m - 2)/4
Find p such that 122*p**2 - 875 - 865 - 880 + 3427 + 426*p - 897 - 10*p**3 = 0.
-3, 1/5, 15
Suppose -470/3*y + 2/3*y**2 + 2300/3 = 0. Calculate y.
5, 230
Let p(f) be the third derivative of 0 - f**2 + 13/6*f**4 - 1/30*f**5 + 0*f - 169/3*f**3. Factor p(n).
-2*(n - 13)**2
Let t(b) be the first derivative of -2*b**5/255 + b**4/68 + b**3/51 + 48*b**2 - 74. Let f(c) be the second derivative of t(c). Factor f(y).
-2*(y - 1)*(4*y + 1)/17
Let i(t) be the second derivative of t**5/90 - 76*t**4/27 - 17*t**3/3 - 9*t - 60. Let i(u) = 0. Calculate u.
-1, 0, 153
Let d(s) = -31*s**2 - 412*s + 1014. Let z(g) = 18*g**2 + 206*g - 509. Let h(t) = -3*d(t) - 5*z(t). What is q in h(q) = 0?
-71, 7/3
Let u = 34651721/8224 + 103/8224. Factor u - 3/2*i**3 + 321/2*i**2 - 8745/2*i.
-3*(i - 53)**2*(i - 1)/2
Let n(y) be the first derivative of -134 - 85/3*y**3 - 900*y - 240*y**2 - 5/4*y**4. Solve n(m) = 0 for m.
-6, -5
Suppose -60*m + 62 + 58 = 0. Suppose -m*x - 2*i - 2 = 0, 58 = 2*x + i + 59. Factor -3/4*v**3 + 0*v**2 + 3/4*v**4 + x*v + 0.
3*v**3*(v - 1)/4
Let t be 1659/(-6720) + ((-12)/15)/(-4). Let q = 35/64 + t. Factor -1/2*n**4 - 1/2*n**3 + q*n**2 + 0 + 1/2*n.
-n*(n - 1)*(n + 1)**2/2
Let x = 50 + -50. Suppose 4*y - 7*d + 4*d - 5 = x, 0 = 3*y - 3*d - 3. Suppose 0*a**y + 4 - a**2 + a**2 + a**2 + 5*a = 0. Calculate a.
-4, -1
Suppose 8 = 3*y + 3*o + 29, -y + 17 = -5*o. Let u be (-4 - 14/(-3))/((-1)/y). Find v such that -v**u - 2*v**3 + v**3 + v + 25*v**4 - 24*v**4 = 0.
-1, 0, 1
Suppose 5*n - 2*n - 11 = -2*s, 0 = 2*n + s - 7. Suppose 522 - 3*v - 531 - n*v**4 + 2*v**3 - 2*v**4 + v**5 + 14*v**2 = 0. Calculate v.
-1, 1, 3
Let h(q) be the first derivative of -q**4 - 32*q**3/3 - 10*q**2 + 56*q + 1103. What is a in h(a) = 0?
-7, -2, 1
Let g(u) be the second derivative of -u**5/40 - 63*u**4/4 + 379*u**3/12 - u + 649. Factor g(q).
-q*(q - 1)*(q + 379)/2
Let r = 218 + -219. Let c(z) = -4*z**3 + 21*z**2 - 24*z - 49. Let q(b) = -b**3 - b**2 - b - 1. Let t(m) = r*c(m) + 3*q(m). Find n such that t(n) = 0.
-1, 2, 23
Let g(m) = -288*m**3 + 615*m**2 - 7383*m + 27945. Let h(t) = -55*t**3 + 123*t**2 - 1477*t + 5589. Let q(r) = 4*g(r) - 21*h(r). What is p in q(p) = 0?
9, 23
Let c(h) be the first derivative of -22*h**2 - 242*h + 107 - 2/3*h**3. Factor c(z).
-2*(z + 11)**2
Let f(l) = 3*l**5 + l**3 + 2*l - 1. Let q(a) = -36*a**5 - 5*a**4 + 14*a**3 - 15*a**2 - 32*a + 19. Let v(w) = -22*f(w) - 2*q(w). Factor v(i).
2*(i - 1)**3*(i + 4)*(3*i + 2)
Let g = 87005/2 - 43499. Solve g - 15/2*t**2 + t**3 + 3*t = 0 for t.
-1/2, 1, 7
Factor 2/5*x**5 - 3744/5*x**3 + 186*x**4 + 0*x + 0 + 3752/5*x**2.
2*x**2*(x - 2)**2*(x + 469)/5
Let i = 793/1004 + -10/251. Let i*v**4 + 21/4*v**2 + 9/4*v + 15/4*v**3 + 0 = 0. What is v?
-3, -1, 0
Let t(a) = 21*a**2 + 33*a + 34*a**2 - 13 + 68*a + 32*a - 6. Let x(w) = 11*w**2 + 27*w - 4. Let k(l) = -4*t(l) + 22*x(l). Factor k(h).
2*(h + 3)*(11*h - 2)
Let g(d) = 0*d**2 + d + 10*d + 3 + 14 + d**2 + d**2. Let p be g(-3). Factor 4/11*k**p + 0 + 2/11*k**3 + 0*k.
2*k**2*(k + 2)/11
Let i(q) = -4*q**2 - 3*q - 1. Let g(j) = -92*j**2 - 4664*j - 24. Let z(m) = g(m) - 24*i(m). Factor z(r).
4*r*(r - 1148)
Let m be 12*-1*4/8. Let p be 4 + m + 5/1. Factor 4*k**4 - 12*k**p - k**2 + 12*k + 5*k**2 - 93 + 85.
4*(k - 2)*(k - 1)**2*(k + 1)
Factor -p - 1/3*p**3 + 5/3*p**2 - 3.
-(p - 3)**2*(p + 1)/3
Let n(l) = 24*l**2 + 172*l + 28. Suppose -2 = r - 2*i, -49 - 11 = 4*r + 5*i. Let m(o) = -12*o**2 - 86*o - 14. Let v(s) = r*m(s) - 6*n(s). Factor v(a).
-4*(a + 7)*(6*a + 1)
Let z(w) = w**2 + 3*w - 8. Let a be z(-6). Suppose -109 = 8*m - 133. Factor -2*o**m + 6*o + 33 - 10 - a - 9.
-2*(o - 2)*(o + 1)**2
Let z = 181/4 - 45. Let p be -39 - (-1134)/(47 - 20). Factor 0 + 0*c + z*c**2 - 1/4*c**p.
-c**2*(c - 1)/4
Let t(h) be the second derivative of 5*h**4/12 - 50*h**3/3 + 495*h**2/2 - 623*h. Factor t(y).
5*(y - 11)*(y - 9)
Determine k so that 2/9*k**2 - 62/9*k + 368/9 = 0.
8, 23
Suppose -i - 4 = 0, j + 55 - 25 = -3*i. Let w be (j/(-4))/(10 + 4 + -8). Suppose 1/2 - 1/2*v**2 + v**3 - w*v - 1/4*v**5 + 0*v**4 = 0. What is v?
-2, -1, 1
Let o be ((-1135)/(-15))/(26/8 + -3). Let g = o - 302. Factor -5/3*k - g + 7/3*k**2.
(k - 1)*(7*k + 2)/3
Let w be (-5)/370*-2 + (-3808)/(-12432). Let 363 + w*h**2 - 22*h = 0. What is h?
33
Let h(w) = -40*w - 264. Let b be h(20). Let c = b + 1066. Suppose -22/7*r - 2/7 + 24/7*r**c = 0. What is r?
-1/12, 1
Let y = 163 - 159. Factor 6*j**3 - 303*j - y*j**3 - 75 - 10*j**3 + 3*j**3 - 7*j**3 - 312*j**2.
-3*(j + 25)*(2*j + 1)**2
Suppose 12929 = 188*p + 12741. Suppose -4*n = -0*y + 2*y - 8, -5*n - 2*y + 12 = 0. Find s, given that p - 3/2*s - 1/2*s**n + 3/2*s**3 - 1/2*s**2 = 0.
-1, 1, 2
Suppose 4*j + n = 24, -2*j - j + 5 = 4*n. Let h = j + -4. Factor 6*s**3 + 4*s**2 + 0*s**h - 2*s - 8*s**3.
-2*s*(s - 1)**2
Let d(z) be the second derivative of z**8/15680 + z**7/840 + z**6/168 + 25*z**4/6 - z**2 + 131*z. Let b(i) be the third derivative of d(i). Factor b(r).
3*r*(r + 2)*(r + 5)/7
Let b(n) be the third derivative of -n**5/420 - 229*n**4/168 + 466*n**3/21 - 5013*n**2. Determine c so that b(c) = 0.
-233, 4
Let y = 4498397/2076186 + 1/346031. Solve 2*x**3 - y*x - 1 + 4/3*x**4 + 1/6*x**5 - 1/3*x**2 = 0 for x.
-6, -1, 1
Let t = 13405 + -200996/15. Let y = 17/3 - t. Factor 4/5*z + y*z**2 + 0.
2*z*(z + 2)/5
Let z(o) be the first derivative of -27 - 1/18*o**4 - 1/12*o**2 + 5/36*o**3 + 2*o. Let r(l) be the first derivative of z(l). Find h, given that r(h) = 0.
1/4, 1
Let h(s) be the second derivative of s**5/30 - 85*s**4/9 + 7052*s**3/9 + 14792*s**2/3 + 4*s + 468. Factor h(d).
2*(d - 86)**2*(d + 2)/3
Let a(x) = -44*x - 11. Let p be a(-3). Factor p*z + 11 + 14*z**2 + 2*z**3 + 7 - 91*z.
2*(z + 1)*(z + 3)**2
Let q(b) be the first derivative of 2*b**6/15 + 8*b**5/5 + 5*b**4 + 34*b + 21. Let w(s) be the first derivative of q(s). Determine n so that w(n) = 0.
-5, -3, 0
Let d(b) = -4*b**2 - 160*b - 630. Let y(t) = 4*t**2 + 162*t + 629. Let l(u) = -5*d(u) - 6*y(u). Factor l(c).
-4*(c + 4)*(c + 39)
Let y = -4064/40215 + -720/383. Let r = y - -34/15. Let 6/7 - r*c**3 + 10/7*c**2 - 2*c = 0. Calculate c.
1, 3
Suppose 5*h = -91 + 91. Factor -10*j**3 + h + 1667*j**4 - 5 + 10*j - 1662*j**4.
5*(j - 1)**3*(j + 1)
Let s = 248874 - 497123/2. Factor -25/2*v**2 - 15625/6 - 1/6*v**3 - s*v.
-(v + 25)**3/6
Let t be (-15)/6 - (-11628)/(-65376). Let r = -12/227 - t. Determine h, given that -9/8*h**4 + 3/8*h**5 - 3/8*h**3 - 3/2 + 0*h + r*h**2 = 0.
-1, 1, 2
Let k(y) be the first derivative of 3*y**5/10 - 711*y**4/8 - 477*y**3/2 - 717*y**2/4 + 14884. Solve k(s) = 0.
-1, 0, 239
Let k(l) be the first derivative of l**3/12 - 231*l**2/8 - 233*l/2 + 42. Suppose k(j) = 0. Calculate j.
-2, 233
Suppose -3*a = r - 855 - 1012, 3*r - 5571 = -3*a. Let x = r - 1849. Factor 3/7 - 3/7*l + 3/7*l**x - 3/7*l**2.
3*(l - 1)**2*(l + 1)/7
Let a(u) = -2*u**3 + 68*u**2 + 238*u - 138. Let o(x) = -x**3 + x**2 + 3*x - 2. Let l(b) = a(b) - 6*o(b). Factor l(h).
2*(h + 7)*(h + 9)*(2*h - 1)
Let q(f) be the second derivative of -1/40*f**5 + 12*f**2 + 0*f**4 - 16*f - 1/240*f**6 + 0 + 1/3*f**3. Let t(s) be the first derivative of q(s). Factor t(z).
-(z - 1)*(z + 2)**2/2
Let d(u) = 2*u + 1. Let y be d(1). Suppose 5*k + 36 - 1 = 5*q, k = -5*q + 5. Factor -6*t**3 + 5*t**4 - 11*t**3 - 5*t**q + 10*t + 7*t**y.
5*t*(t - 2)*(t - 1)*(t + 1)
Let c be ((-5)/(-2))/(6 + 0). Let t(n) be the second derivative of 1/2*n**5 + 0*n**3 - c*n**4 + 43*n + 0*n**2 + 0 - 1/6*n**6. Suppose t(z) = 0. What is z?
0, 1
Let w(h) be the third derivative of -h**8/1512 - 4*h**7/945 + 7*h**6/90 - 16*h**5/135 - 41*h**4/108 + 4*h**3/3 - 10*h**2 - 153. What is i in w(i) = 0?
-9, -1, 1, 4
Let h = 33 + -30. Let k(i) be the first derivative of 2*i**4 + 