*x + 62*x + 20*x**y + 36 + 87*x + 57*x.
4*(x + 3)**2*(5*x + 1)
Let u = 16774/9 + -5591/3. Let i(l) be the third derivative of -1/60*l**5 - u*l**3 - 15*l**2 + 1/630*l**7 - 1/360*l**6 + 0*l + 5/72*l**4 + 0. Factor i(x).
(x - 1)**3*(x + 2)/3
Let o be (-6)/38*30552/(-14472). Factor -20/3*w - o*w**4 + 5/3*w**3 - 2/3*w**2 + 8.
-(w - 3)*(w - 2)**2*(w + 2)/3
Let t(h) be the second derivative of -h**4/21 - 1240*h**3/21 - 12*h + 66. Factor t(n).
-4*n*(n + 620)/7
Let g(m) be the first derivative of -m**6/30 + 9*m**5/5 - 65*m**4/2 + 338*m**3/3 - m**2/2 + 119*m - 156. Let o(w) be the second derivative of g(w). Factor o(l).
-4*(l - 13)**2*(l - 1)
Let x = -926216 - -926216. Factor -1/6*n**2 + 2*n + x - 1/6*n**3.
-n*(n - 3)*(n + 4)/6
Let k(c) be the second derivative of c**7/6720 + c**6/384 - 3*c**5/40 - c**4/6 + 107*c**2/2 - 5*c + 3. Let y(q) be the third derivative of k(q). Solve y(l) = 0.
-8, 3
Let b = 1/1043006 - -6258029/7301042. Factor 2/7*h**4 - b*h**2 + 4/7*h**3 - 16/7*h - 8/7.
2*(h - 2)*(h + 1)**2*(h + 2)/7
Let b(m) be the first derivative of m**4/16 + 41*m**3/4 - 31*m**2/2 + 870. What is y in b(y) = 0?
-124, 0, 1
Let d be (48/10)/((735/(-2100))/((-21)/54)). Suppose d - 32/3*m + 1/3*m**5 - 5/3*m**4 + 16/3*m**2 + 4/3*m**3 = 0. What is m?
-2, 1, 2
Let x = 934 + -1376. Let g = x + 2212/5. What is a in 4/5*a - g*a**2 - 2/5 = 0?
1
Let z(u) = -u**2 - 19*u. Let h(t) = -5*t**2 - 264*t + 5625. Let i(l) = h(l) - 6*z(l). Factor i(r).
(r - 75)**2
Suppose -14 = -q - 3*k, -4*k - 5 = 7. Determine y so that 9*y - 2*y**2 + 9 + 8*y - y**2 - q*y = 0.
-3, 1
Suppose -633*m = 1088 - 2354. Factor 8/3*y - 2/9*y**3 + 0 - 8/9*y**m.
-2*y*(y - 2)*(y + 6)/9
Suppose 0 = 10*s + 16*s - 572. Suppose s = 214*k - 203*k. Solve 0 + 0*x - 8/7*x**k + 2/7*x**3 = 0 for x.
0, 4
Suppose -4*a + 5*o + 96 = 0, 2*o - 3*o = -3*o. Find p, given that -a*p + 576 + 1/4*p**2 = 0.
48
Let c(p) = -14*p**3 + 1096*p**2 + 4*p + 4. Let j(g) = -18*g**3 + 1092*g**2 + 5*g + 5. Let t(y) = 5*c(y) - 4*j(y). Solve t(z) = 0.
-556, 0
Let a = 6553/4338 + -23/2169. Factor -58*p + a*p**2 + 38.
(p - 38)*(3*p - 2)/2
Let l(h) be the first derivative of 41*h**2 - 70/3*h - 74 - 7/18*h**3. Find m such that l(m) = 0.
2/7, 70
Factor -88600*f**3 - 15*f - 15*f + 88624*f**3 - 27*f**4 + 33*f**2.
-3*f*(f - 1)**2*(9*f + 10)
Factor -32 + 13*z**2 + 785*z + 55*z**2 - 521*z.
4*(z + 4)*(17*z - 2)
Let c(m) be the first derivative of -m**4/108 + m**3/18 - m**2/9 + 75*m + 12. Let x(f) be the first derivative of c(f). Factor x(a).
-(a - 2)*(a - 1)/9
Suppose -13 + 109 = 3*g. Suppose g*c = 45*c - 39. Factor -14/13*l**2 - 22/13*l - 10/13 - 2/13*l**c.
-2*(l + 1)**2*(l + 5)/13
Suppose 0 = -f - 4*f - 5*c + 5, -4*c = f - 13. Let y be 1 - 0 - ((3 - 1) + f). Find l such that -16/5 - 4/5*l**y - 4*l = 0.
-4, -1
Let p(q) be the third derivative of q**5/30 - 89*q**4/12 - 182*q**3/3 - 809*q**2. Determine g so that p(g) = 0.
-2, 91
Factor 2*b**3 - 4672210*b**2 - 3*b - 53*b + 4672224*b**2 + 40.
2*(b - 2)*(b - 1)*(b + 10)
Let u = -29 + 19. Let q(v) = -2*v**2 - v - 1. Let s(l) = 12*l**2 - 15*l + 55. Let p(i) = u*q(i) - 2*s(i). Factor p(t).
-4*(t - 5)**2
Let c = 764 - 762. Factor -c*t**5 + 27*t + 89*t**2 + 6 + t**5 + 18*t**4 + 42*t**3 + 4*t**5 - 41*t**2.
3*(t + 1)**4*(t + 2)
Factor 94/13*c**2 + 4/13*c**3 + 616/13*c + 726/13.
2*(c + 11)**2*(2*c + 3)/13
Let h(m) be the first derivative of m**8/10920 - m**7/780 + m**6/156 - 3*m**5/260 - 191*m**3/3 - 121. Let r(g) be the third derivative of h(g). Factor r(d).
2*d*(d - 3)**2*(d - 1)/13
Suppose -1942 = -x - 6*p + 4*p, -3881 = -2*x - 3*p. Suppose x*t**2 + 176*t + 13 + 8 - 30 + 13 = 0. Calculate t.
-1/22
Let f(n) be the first derivative of 9*n**4 - 3*n**5 - 8 - 9*n**2 - 4 + 0*n**3 - n**3 + 0*n**3. Determine v, given that f(v) = 0.
-3/5, 0, 1, 2
Let p(f) be the first derivative of 3*f**4/26 + 10*f**3/39 - 2*f**2 - 96*f/13 - 1203. Factor p(w).
2*(w - 3)*(w + 2)*(3*w + 8)/13
Suppose 0 = -2*y + 4*z - 112, 54 = -y + 388*z - 384*z. Let j be (1 - (-7 + 15)) + y/(-6). Factor j*s**3 - 2/3*s**4 - 64/3*s + 8*s**2 - 128/3.
-2*(s - 4)**2*(s + 2)**2/3
Let z(m) be the second derivative of 1/42*m**4 + 44/7*m**2 - 41*m + 0 - 8/7*m**3. Factor z(n).
2*(n - 22)*(n - 2)/7
Suppose -28*l = 30*l + 27*l - 22*l. Determine p, given that 0*p + l + 22/5*p**3 + 4/5*p**2 + 14/5*p**5 + 32/5*p**4 = 0.
-1, -2/7, 0
Let p(i) = 16*i**2 + 2028*i + 171351. Let a(j) = -25*j**2 - 3042*j - 257025. Let h(v) = -5*a(v) - 8*p(v). Determine c, given that h(c) = 0.
-169
Let n(k) = -4*k**3 + 118*k**2 + 128*k + 12. Let a(i) = -7*i**3 + 238*i**2 + 256*i + 22. Let p(f) = -6*a(f) + 11*n(f). Let p(c) = 0. What is c?
-64, -1, 0
Let t(i) = 3*i**4 + 3*i**3 + 3*i**2 - 45*i + 18. Let q(k) = -2*k**4 - 4*k**3 - 4*k**2 + 43*k - 18. Let d = 151 - 156. Let w(c) = d*t(c) - 6*q(c). Factor w(x).
-3*(x - 3)*(x - 1)**2*(x + 2)
Suppose -5*j + 50 = 5*r, -3 = 3*r + j - 31. Let x be 0/(3*3/r). Factor -2/5*g - 4/15*g**2 + 2/15*g**3 + x.
2*g*(g - 3)*(g + 1)/15
Let t(i) be the first derivative of i**7/210 + i**6/18 - i**5/30 - 5*i**4/6 - i**3/3 - 53*i + 40. Let v(o) be the third derivative of t(o). Factor v(h).
4*(h - 1)*(h + 1)*(h + 5)
Let o be (-5)/(-2)*12/15. Let d be (-6 - 310/(-35)) + (-3)/(-21). Solve o*t**3 + 2*t**2 + 200*t**4 - 2*t**5 + 0*t**d - 202*t**4 = 0 for t.
-1, 0, 1
Factor -316/7*h + 2/7*h**2 + 0.
2*h*(h - 158)/7
Let o = -1/745 - -5967/5215. Let z(d) be the first derivative of 1/7*d**2 + 13 + 16/21*d**3 + o*d**4 + 0*d. Factor z(s).
2*s*(4*s + 1)**2/7
Let l = 9665/164 - 1914/41. Solve -19/2*b - 2 - 3/4*b**4 - 11/2*b**3 - l*b**2 = 0.
-4, -2, -1, -1/3
What is f in 122*f - 2351 - 42*f + 236*f**2 - 61*f**2 - 2*f**3 - 449 - 3*f**3 = 0?
-4, 4, 35
Let f be ((-4)/1 + 8)*2/4. Factor 106*s + 980 - s**f + 6*s**2 - 55*s + 89*s.
5*(s + 14)**2
Suppose -4*a = -a - 3. Let c = 1/2133 + 3553/4266. Find d, given that -c*d - 1/6*d**2 - a = 0.
-3, -2
Let a(t) be the third derivative of -t**6/600 - 461*t**5/300 - 2261*t**4/5 - 8664*t**3 + 351*t**2. Factor a(j).
-(j + 5)*(j + 228)**2/5
Let q(a) = -2*a**2 + 40*a - 694. Let r(s) = -3*s**2 + 54*s - 695. Let i(n) = 5*q(n) - 4*r(n). Solve i(z) = 0 for z.
-15, 23
Let s(k) be the third derivative of k**5/105 - 17*k**4/14 + 820*k**3/21 - 6027*k**2. Determine o, given that s(o) = 0.
10, 41
Let h(p) = -39*p + 14. Let x be h(-8). Suppose 12 + x = 13*g. Factor -29*a**4 + 3*a**5 + 52*a**4 - g*a**4 - 3*a**3 + 3*a**2.
3*a**2*(a - 1)**2*(a + 1)
Suppose -2*f + 2 = -0*f, -3*f = -3*y - 33. Let c be (660/(-50))/(-6) - (-2)/y. Let -4/3*n + 4/9*n**3 + 8/9*n**5 + 2/9 - 2*n**4 + 16/9*n**c = 0. Calculate n.
-1, 1/4, 1
Let n(z) be the second derivative of -z**6/6 + z**5/4 - 849*z + 1. Factor n(u).
-5*u**3*(u - 1)
Let 520 + 52*c**2 - 18*c**2 - 10*c**2 - 9*c**2 - 66*c - 13*c**2 = 0. Calculate c.
13, 20
Let -3/2*k**4 - 2*k**5 - 7/2*k + 11/2*k**3 + 3/2*k**2 + 0 = 0. What is k?
-7/4, -1, 0, 1
Let z = 791774 - 4750637/6. Suppose -z*q - 1/6*q**5 - 1/3*q**4 - 1/3*q**2 + 4/3*q**3 + 2/3 = 0. Calculate q.
-4, -1, 1
Let b(y) be the first derivative of 8/9*y**3 - 2/3*y**5 - 1/9*y**6 + 8/3*y**2 - y**4 + 0*y - 19. Determine t so that b(t) = 0.
-2, 0, 1
Let d(u) be the second derivative of -u**5/45 - 35*u**4/27 - 496*u**3/27 - 728*u**2/9 + 1883*u + 1. Solve d(h) = 0 for h.
-26, -7, -2
Determine n, given that -1/6*n**5 + 0 + 2/3*n**2 - 1/2*n**4 + 0*n + 0*n**3 = 0.
-2, 0, 1
What is l in 415*l**3 - 2498 - 16*l**5 + 40*l**4 - 1065*l**2 + 11*l**5 - 702 - 3275*l**2 + 210*l**2 + 6880*l = 0?
-10, 1, 8
Let h(x) = -2*x**3 - 2*x + 1. Let f(k) = -18*k**3 - 24*k**2 + 22*k + 206. Let z(u) = 2*f(u) - 20*h(u). Factor z(y).
4*(y - 7)**2*(y + 2)
Let a(p) be the second derivative of -1/5*p**5 + 0 - 250*p**2 - 5*p**4 - 50*p**3 + 68*p. Factor a(k).
-4*(k + 5)**3
Let r(n) be the second derivative of 7/114*n**4 - 9/190*n**5 + 1/57*n**6 + 0 - 1/399*n**7 + 45*n + 0*n**2 - 2/57*n**3. Factor r(a).
-2*a*(a - 2)*(a - 1)**3/19
Let k = 228 + -249. Let z(v) = -9*v - 186. Let g be z(k). Factor 0 - 1/2*i + 1/2*i**4 - 1/2*i**2 + 1/2*i**g.
i*(i - 1)*(i + 1)**2/2
Let u(h) = 4*h - 32. Let f be u(15). Factor 3*g**2 - g**2 - 27*g + 13*g + f - 8.
2*(g - 5)*(g - 2)
Let t = 27788 - 27788. Let p be 72/55 - 16/40. Factor 4/11*f**2 + 4/11*f**4 - p*f**3 + t + 0*f.
2*f**2*(f - 2)*(2*f - 1)/11
Let a(d) be the third derivative of -3*d**2