/9*q**2 - 1/9*q**z.
-q**2*(q - 1)/9
Let a be (-4)/10*(-1 + 121). Let d = a - -84. Factor d - 68 + 37 - 5*u**2.
-5*(u - 1)*(u + 1)
Let o = -174 - -177. Let d(q) be the first derivative of -8 + 10*q**2 - 5/3*q**o - 20*q. Let d(y) = 0. What is y?
2
Let j(u) be the second derivative of u**4/54 + 13*u**3/27 - 10*u**2/3 + 3*u + 10. Factor j(y).
2*(y - 2)*(y + 15)/9
Let t be (-2)/48*-4*((-134)/(-11) + 2). Find o such that -t*o**3 - 8/11*o - 32/11*o**2 + 0 - 6/11*o**4 = 0.
-2, -1/3, 0
Let w(p) be the first derivative of -4*p**5/5 - 59*p**4 + 4148*p**3/3 + 2190*p**2 + 12521. Find h such that w(h) = 0.
-73, -1, 0, 15
Let x(w) be the second derivative of w**7/126 + w**6/10 + w**5/4 - 25*w**4/36 + 121*w + 2. Factor x(n).
n**2*(n - 1)*(n + 5)**2/3
Let n(k) be the third derivative of 1/80*k**6 + 0 - 71*k**2 + 0*k + 9/16*k**3 + 5/32*k**5 + 21/32*k**4. Factor n(r).
3*(r + 3)**2*(4*r + 1)/8
Suppose 0 = 32*z - 69 + 261. Let f(q) = 12*q**3 + 2*q**2 + 232*q - 144. Let a(h) = -h**3 - 21*h + 13. Let g(l) = z*f(l) - 68*a(l). Factor g(v).
-4*(v - 1)**2*(v + 5)
Solve 0 - 558*v**4 + 27*v + 215*v**2 + 81/4*v**5 + 1183/4*v**3 = 0 for v.
-2/9, 0, 1, 27
Let u(p) be the third derivative of p**6/660 - p**5/330 - p**4/132 + p**3/33 + 9748*p**2. Factor u(l).
2*(l - 1)**2*(l + 1)/11
Determine q, given that 27/2*q - 165/4*q**2 - 63/4*q**4 + 0 + 3/4*q**5 + 171/4*q**3 = 0.
0, 1, 18
Let c(j) be the first derivative of -5*j**4/4 - 865*j**3/3 - 7. Factor c(p).
-5*p**2*(p + 173)
Let h(c) be the third derivative of 0*c**3 - 2*c + 45*c**2 + 1/24*c**4 + 0 - 1/480*c**6 + 1/80*c**5. Factor h(a).
-a*(a - 4)*(a + 1)/4
Let o(t) = -95*t - 35. Let k(s) = 4*s + 1. Let i(d) = 20*k(d) + o(d). Let b be i(-1). Find q, given that 0*q**3 + 2/5 + 2/5*q**4 - 4/5*q**2 + b*q = 0.
-1, 1
Let p(l) be the first derivative of -2*l**6/105 + l**5/7 - 8*l**4/21 + 8*l**3/21 - 52*l + 44. Let n(y) be the first derivative of p(y). Let n(g) = 0. What is g?
0, 1, 2
Let h = -7574/31 + 22784/93. Solve -14/3*y**2 + 0 - 16/3*y + h*y**3 = 0 for y.
-1, 0, 8
Let t = 2147/860 - -3/860. Let a(y) be the first derivative of 20*y**2 - 140/3*y**3 - t*y**4 + 7*y**5 - 8 + 0*y. Suppose a(l) = 0. What is l?
-2, 0, 2/7, 2
Suppose 2*w = 9*w - 14. What is f in 181*f - f**5 - 21*f**w - 21*f**2 - 102*f**3 - 76*f + 75 - 2*f**5 - 33*f**4 = 0?
-5, -1, 1
Let f(k) be the first derivative of -107 - 9*k**2 + 14/3*k**3 + 4*k. Factor f(o).
2*(o - 1)*(7*o - 2)
What is h in 0 + 4/3*h**3 - 512/3*h**2 + 336*h = 0?
0, 2, 126
Let i = -33647/30 + 17536/15. What is a in -i*a**2 - 56*a + 55*a**3 + a**5 + 31/2*a**4 + 32 = 0?
-8, -1, 1/2, 1
Suppose -12*v + 6017 = -8899. Let r = v - 7457/6. Factor -5/6*m + 2/3 + r*m**2.
(m - 4)*(m - 1)/6
Let d(t) be the third derivative of t**5/105 - 43*t**4/7 - 522*t**3/7 + 29*t**2 - 12. Factor d(u).
4*(u - 261)*(u + 3)/7
Let a(w) be the third derivative of 36 + 2*w**2 - 36/5*w**5 - 15/2*w**4 - 8/5*w**6 - 7/2*w**3 + 0*w. Factor a(s).
-3*(4*s + 1)**2*(4*s + 7)
Let y(v) be the second derivative of -29/12*v**3 + 0 - 1/48*v**4 + 59/8*v**2 + 154*v. Let y(h) = 0. Calculate h.
-59, 1
Let a = 630876/565 - -1334/113. Let l = 1129 - a. Find o, given that 7/5*o - l*o**2 + 6/5 = 0.
-2/3, 3
Suppose 303 = -5*z + 6*f + 308, -3*f = -14 - 16. Let z*m**2 - 1/2*m**3 + 0 - 169/2*m = 0. What is m?
0, 13
Let c = -15251/3 - -5112. Suppose 25/3*r**3 - 20 - 5/3*r**4 - c*r + 5/3*r**2 = 0. Calculate r.
-1, 3, 4
Let a be 15/(-1215)*(-1884)/(-8) + 3. Let d(k) be the third derivative of a*k**4 + 14*k**2 - 25/27*k**3 - 1/270*k**5 + 0 + 0*k. Factor d(c).
-2*(c - 5)**2/9
Let v(x) be the first derivative of 2*x**5/85 - x**4/2 - 116*x**3/51 - 40*x**2/17 - 850. Determine m, given that v(m) = 0.
-2, -1, 0, 20
Factor 1138*i + 1485125 + 1880*i + 5*i**2 + 1599*i + 833*i.
5*(i + 545)**2
Suppose 0 = 5*n - 21*u + 17*u - 30, n - 4*u = 22. Let m(d) be the first derivative of 0*d - 1/18*d**4 + 2/27*d**3 + 2/9*d**n - 30. Suppose m(w) = 0. What is w?
-1, 0, 2
Let d be (-53)/4 + (43 - -40) + -66. Solve -9/2*j + 3/4*j**2 + d = 0.
1, 5
Let c(w) be the first derivative of w**4 - 24*w**2 + 64*w - 1839. Factor c(n).
4*(n - 2)**2*(n + 4)
Let z(b) = -4*b + 1. Let g(c) = -c**2 + 76*c - 285. Let k(d) = -g(d) + 6*z(d). Factor k(i).
(i - 97)*(i - 3)
Let p = -19624 - -19627. Let v(q) be the third derivative of 0*q**p - 1/204*q**4 + 0*q + 1/1020*q**6 + 13*q**2 + 0 + 0*q**5. Solve v(a) = 0.
-1, 0, 1
Let n(f) be the third derivative of 5*f**8/336 - 5*f**7/84 - 7*f**6/16 - 19*f**5/24 - 25*f**4/48 + 11*f**2 - 13*f - 9. Let n(c) = 0. What is c?
-1, -1/2, 0, 5
Suppose b = 5*a - 11 + 36, -98 = -5*b - 2*a. Factor 326 - 4*z**4 - 326 - b*z**3 - z**4 - 15*z**2.
-5*z**2*(z + 1)*(z + 3)
Suppose -15*i = -4*i - 693. Let d = -48 + i. Determine q, given that -22*q**2 - 19*q**2 + 38*q**2 + d*q = 0.
0, 5
Suppose 0 = -13*t - 6*t - 2261. Let n = 121 + t. Factor 2/15*f**3 + 0 - 8/15*f**n + 0*f.
2*f**2*(f - 4)/15
Let t = -69762/5 + 13953. Let h(l) be the second derivative of 0 + 7/30*l**3 + t*l**2 + 1/60*l**4 - 5*l. Factor h(v).
(v + 1)*(v + 6)/5
Suppose -28 = p - 158*u + 161*u, -3*p - 44 = 5*u. Suppose -27/2*s**3 + 18*s - 6 - 9/2*s**5 + 33/2*s**4 - 21/2*s**p = 0. What is s?
-1, 2/3, 1, 2
Let k be (-14)/49 + (-369)/(-140) - 60/80. What is u in -k - 2/5*u**3 + 8/5*u + 2/5*u**2 = 0?
-2, 1, 2
Let s = 904 - 904. Let p(v) be the second derivative of 3/100*v**5 + s - 3/5*v**2 + 0*v**4 + 8*v - 3/10*v**3. Suppose p(r) = 0. Calculate r.
-1, 2
Let c(h) = 51*h**2 + h - 1. Let y(f) = 440*f**2 + 4136*f + 226. Let m(b) = -10*c(b) + y(b). Factor m(x).
-2*(x - 59)*(35*x + 2)
Let b(f) be the third derivative of -f**6/100 + 211*f**5/100 - 21*f**4/8 - 801*f**2 + 2*f. Find w such that b(w) = 0.
0, 1/2, 105
Let a = -135 + 117. Let t be ((-28)/(-36) - -2) + (-4)/a. Factor 4*f**2 - 3*f**t + 2*f**3 + 0*f**2.
-f**2*(f - 4)
Factor -3172*s**2 - 21*s**4 + 3178*s**2 - 23*s + 30*s**3 + 3*s**5 + 15 - 10*s + 0.
3*(s - 5)*(s - 1)**3*(s + 1)
Let g(l) be the first derivative of l**5/40 - 11*l**4/16 + 5*l**3/2 - 29*l**2/8 + 19*l/8 + 1983. What is r in g(r) = 0?
1, 19
Let y(h) be the third derivative of -h**7/1890 - 7*h**6/540 + 4*h**5/45 - 25*h**4/108 + 17*h**3/54 + 4983*h**2. Factor y(g).
-(g - 1)**3*(g + 17)/9
Factor 459795*u - 275 + 420*u**4 + 10*u**2 - 155*u**4 - 5*u**5 + 288*u**3 - 460340*u + 262*u**3.
-5*(u - 55)*(u - 1)*(u + 1)**3
Let s = 23/35 + 15/7. Let v be (-75 - -79)*(-2)/(-10). Factor s*g**2 - v*g - 6/5 - 4/5*g**3.
-2*(g - 3)*(g - 1)*(2*g + 1)/5
Let x = -32822/3 - -10941. Solve -2/3*j**4 - x*j**5 + 0*j + 0*j**2 - 1/3*j**3 + 0 = 0 for j.
-1, 0
Let a(z) = -29*z - 25. Let u be a(-12). Let n = -643/2 + u. Find k such that -9/2*k**3 + 3/2*k**2 + 3/2*k**5 + 0 - n*k**4 + 3*k = 0.
-1, 0, 1, 2
Suppose 50/9*u + 32/9*u**4 - 116/9*u**2 - 2/9*u**5 - 16/3*u**3 + 28/3 = 0. Calculate u.
-1, 1, 3, 14
Let q = 4/4877 - -9718/43893. Let x(w) be the first derivative of 1/6*w**4 - 1/9*w**6 + 0*w**2 + q*w**3 + 16 - 2/15*w**5 + 0*w. Factor x(f).
-2*f**2*(f - 1)*(f + 1)**2/3
Let g = 213399 + -213397. Solve 3 - 19/3*t - 1/3*t**3 + 11/3*t**g = 0.
1, 9
Determine x so that -10 - 101*x**3 + 36 - 14*x**2 + 91*x**3 + 2*x - 20 = 0.
-1, 3/5
Let r(v) = v**2 - 200*v + 10402. Let f(q) = 2*q - 1. Let s(b) = -2*f(b) + r(b). Factor s(o).
(o - 102)**2
Let x = 736027/5 - 147862. Let q = 659 + x. Determine f so that q*f**2 - 12/5 + 3/5*f - 3/5*f**3 = 0.
-1, 1, 4
Let v(h) be the first derivative of -9*h**4/5 + 476*h**3/15 - 52*h**2/5 + 3771. Determine i, given that v(i) = 0.
0, 2/9, 13
Find m such that -34/13*m**3 + 32/13*m**5 - 288/13*m**4 - 18/13 + 2/13*m + 306/13*m**2 = 0.
-1, -1/4, 1/4, 1, 9
Let y be 6 - -1 - (-64)/(-32). Factor -5*s**y - 15680 - 3*s**4 - 16240*s - 127*s**4 - 1300*s**3 - 6620*s**2 - 25*s**3.
-5*(s + 4)**3*(s + 7)**2
Let f(s) be the first derivative of 66*s**3 - 793*s**2 + 16*s - 2527. Factor f(u).
2*(u - 8)*(99*u - 1)
Let q be 75 - 72 - 30/(-40). Factor 3/4*c**2 + 3/8*c**3 + q - 39/8*c.
3*(c - 2)*(c - 1)*(c + 5)/8
Let t(g) be the first derivative of g**9/9072 + g**8/1680 + g**7/840 + g**6/1080 - 60*g**3 + 29. Let n(u) be the third derivative of t(u). Factor n(p).
p**2*(p + 1)**3/3
Suppose 9*n + 215 = z, 34*n - 35*n + 379 = 4*z. Factor -z*m - 2 - 2401/2*m**2.
-(49*m + 2)**2/2
Let s(m) = -19*m**4 - 51*m**3 - 5*m**2 + 31*m - 4. Let l(x) = -39 - 32*x + 