**3 - 7*f + 6*f**3 + 3*f.
-4*f*(f - 1)**2*(f + 1)**2
Suppose 0 = -12*c + 13*c - 128. Factor 131 + c*j - 4*j**2 - 759 - 396.
-4*(j - 16)**2
Let j(m) be the third derivative of m**5/30 - m**4/2 + 8*m**3/3 + 279*m**2. Factor j(o).
2*(o - 4)*(o - 2)
Suppose -16*d + 200 = -6*d. Suppose 0 = -3*r - r + d. Find s such that 2/3*s**2 + 3*s**r + 8/3*s**3 - 6*s**4 - 1/3*s + 0 = 0.
-1/3, 0, 1/3, 1
Let q(b) be the first derivative of 63*b**4/4 + 22*b**3 - 3*b**2/2 - 6*b + 86. Find c such that q(c) = 0.
-1, -1/3, 2/7
Let h(x) be the second derivative of -1/189*x**7 + 0*x**2 - 4/27*x**3 - 13/90*x**5 - 26*x + 0 - 2/45*x**6 - 2/9*x**4. Suppose h(i) = 0. Calculate i.
-2, -1, 0
Suppose -176 + 594 = 22*p. Factor -p*f**2 - 39*f + 99*f - 40 - 11*f**2 + 5*f**3.
5*(f - 2)**3
Let z be ((-3)/(-1))/(((-135)/(-382))/9). Let i = -76 + z. Suppose -1/5*j**2 - i*j - 1/5 = 0. What is j?
-1
Let y(z) = -z + 4. Let w be y(1). Determine n, given that 8*n**w + 4*n**3 + 6*n**4 + n**4 + 8*n**2 - 3*n**4 = 0.
-2, -1, 0
Let v(x) be the first derivative of -11*x**4/18 - 2*x**3/3 + 68*x**2/9 - 8*x/3 + 196. What is i in v(i) = 0?
-3, 2/11, 2
Let p(z) be the first derivative of -z**2 + 2*z + 23 + 1/2*z**4 - 2/3*z**3. Factor p(w).
2*(w - 1)**2*(w + 1)
Let n(t) be the first derivative of t**3/4 - 189*t**2/4 + 11907*t/4 + 663. Factor n(m).
3*(m - 63)**2/4
Let j be 3 + 1/1*2. Factor 4 + 6 - 3*z**2 + j*z - 2*z**2.
-5*(z - 2)*(z + 1)
Let c be (-8)/(-678)*(-81)/54. Let o = c - -119/339. Factor 0 + o*m**3 + 0*m**2 + 0*m.
m**3/3
Let c = 89 + -89. Let l(v) be the first derivative of -4*v**3 + 4/5*v**5 + 0*v**4 + c*v - 10 - 4*v**2. Factor l(y).
4*y*(y - 2)*(y + 1)**2
Let l = -1741/2 + 872. Suppose -6*t + 15/2 - l*t**2 = 0. What is t?
-5, 1
Let y be (10/(-36))/((-150)/90). Let z(w) be the second derivative of 7*w - y*w**4 + 0 + 1/10*w**5 - 1/3*w**3 + w**2. Let z(q) = 0. Calculate q.
-1, 1
Let w be -4 + (-27)/(-6) + 23/(-46). Let k(c) be the first derivative of 0*c**2 + 4/75*c**5 + 9 - 1/30*c**4 + 1/45*c**6 - 4/45*c**3 + w*c. Solve k(j) = 0 for j.
-2, -1, 0, 1
Let z(u) be the third derivative of -u**8/336 + 3*u**7/70 - 31*u**6/120 + 17*u**5/20 - 5*u**4/3 + 2*u**3 - 6*u**2 + 6*u. Factor z(m).
-(m - 3)*(m - 2)**2*(m - 1)**2
Let b(w) = -w**3 + 47*w**2 - 251*w + 40. Let r be b(6). Factor 50 - r*g + 1/2*g**2.
(g - 10)**2/2
Let f = -33865 + 33869. Find l, given that 45/7*l**3 + 0 - 12/7*l - 12/7*l**2 - 6/7*l**f - 15/7*l**5 = 0.
-2, -2/5, 0, 1
Suppose y - 1 = -0. Suppose -y = 3*k - 10. What is a in -9*a + 2*a**2 - 3*a**4 + 2*a**k + 7*a - 2*a**4 + 3*a**4 = 0?
-1, 0, 1
Let a(p) be the third derivative of p**9/20160 + p**8/3360 + p**7/1680 + p**5/15 - 9*p**2. Let x(s) be the third derivative of a(s). Factor x(q).
3*q*(q + 1)**2
Let k(l) = -4*l**4 + 12*l**3 + 32*l**2 - 4*l - 4. Let y(s) = -s**3 + s + 1. Let o(t) = -k(t) - 4*y(t). Factor o(q).
4*q**2*(q - 4)*(q + 2)
Let v(s) be the first derivative of 361/15*s**3 - 38/5*s**2 + 22 + 4/5*s. Let v(p) = 0. What is p?
2/19
Factor -5/3*p**2 + 80 - 235/3*p.
-5*(p - 1)*(p + 48)/3
Let v(y) = -13*y**3 - 9*y**2 + 4*y + 9. Suppose 4*q - 8 = 4. Let p(u) = -3 + 4 - 6*u**q - 4*u**2 + 2*u + 3. Let h(z) = 9*p(z) - 4*v(z). Solve h(r) = 0.
-1, 0, 1
Let r = 564 + -797. Let p = -159 - r. Factor -b**2 - 77*b**3 - 2*b**2 + p*b**3.
-3*b**2*(b + 1)
Let c be (2*1)/(74/2257). Let n = c + -121/2. Let n*b**4 + 0*b + 3/2*b**3 + 0 + b**2 = 0. What is b?
-2, -1, 0
Let m = -12/5 + 21/8. Let a(l) be the third derivative of 1/10*l**5 + 2*l**2 - 5/112*l**8 - m*l**6 + 6/35*l**7 + 0*l**4 + 0*l + 0*l**3 + 0. Factor a(c).
-3*c**2*(c - 1)**2*(5*c - 2)
Let z(x) be the second derivative of 0 + 0*x**3 + 1/6*x**4 - 19*x - x**2. Factor z(i).
2*(i - 1)*(i + 1)
Let k(g) = -22*g - 11. Let s be k(-1). Factor -s*y**3 + 14*y**3 - 6*y**2 + y**2 - 8*y**3 + 5*y + 5.
-5*(y - 1)*(y + 1)**2
Let b = -280 + 283. Let g(y) be the third derivative of 1/120*y**5 + 0*y**4 - 2*y**2 + 0*y - 1/24*y**b - 1/840*y**7 + 0 + 0*y**6. Factor g(r).
-(r - 1)**2*(r + 1)**2/4
Suppose -17 + 41 = 2*n. Let h be -4 + 0 + (33/n - -2). Suppose 0*o - h*o**2 + 0 + 3/4*o**3 = 0. What is o?
0, 1
Let y(q) = q**3 + 10*q**2 + 4*q + 18. Let x be y(-9). Suppose -16*u**2 + x*u**4 + 6*u**5 + 96*u - 48*u**3 + 32 + 65*u**4 - 126*u**4 = 0. Calculate u.
-2, -1/3, 2
Let h(p) be the second derivative of 1/15*p**4 + 0 + 2/3*p**3 - 14*p + 8/5*p**2. Determine u, given that h(u) = 0.
-4, -1
Let z(n) be the third derivative of -n**7/1785 - 2*n**6/255 - 2*n**5/85 + 11*n**2. Let z(c) = 0. Calculate c.
-6, -2, 0
Let a(v) = 3*v + 204 + 0*v + 4*v**3 - 3*v**3 - 202. Let q(g) = -g. Let c(t) = a(t) + 6*q(t). Factor c(x).
(x - 1)**2*(x + 2)
Let z = 286 + -304. Let a be ((-3)/(-15))/(-5*z/150). Find v, given that a*v**3 - v + 2/3 + 0*v**2 = 0.
-2, 1
Let f(x) be the second derivative of x**5/4 - 5*x**4/4 - 5*x**3 + 20*x**2 - 105*x. Suppose f(v) = 0. What is v?
-2, 1, 4
What is g in 3*g**3 + 2*g**4 + g**4 - 305 + 305 = 0?
-1, 0
Factor -6*h**2 + 129 + 838*h**3 - 843*h**3 + 31 - 24*h**2.
-5*(h - 2)*(h + 4)**2
Determine v, given that 1352/11 - 1456/11*v - 2/11*v**3 + 106/11*v**2 = 0.
1, 26
Let f(l) be the first derivative of l**8/336 + l**7/42 + l**6/20 - l**5/15 - l**4/3 + 13*l**2/2 + 17. Let j(p) be the second derivative of f(p). Factor j(r).
r*(r - 1)*(r + 2)**3
Solve -14/3*u**2 + 2*u + 0 + 19/6*u**3 - 1/6*u**5 - 1/3*u**4 = 0 for u.
-6, 0, 1, 2
Let -524*v**4 - 22*v**2 + 106*v**3 - 486*v**4 - 52*v + 1080*v**4 - 6*v**5 = 0. What is v?
-1, 0, 2/3, 13
Factor -336*l - 2187/2*l**4 - 24 - 1620*l**2 - 2916*l**3.
-3*(l + 2)*(9*l + 2)**3/2
Let h(m) be the second derivative of -1/24*m**4 - 1/80*m**5 + 0*m**3 + 0*m**2 + 0 - 11*m. Factor h(p).
-p**2*(p + 2)/4
Factor 9/4*r**4 - 3/4*r**5 + 3/4*r**2 + 0 + 0*r - 9/4*r**3.
-3*r**2*(r - 1)**3/4
Let t be ((-11)/16)/(33/22). Let z = 9/8 + t. Factor -z*l + 4/3*l**4 + 0 - 4/3*l**2 + 2/3*l**5 + 0*l**3.
2*l*(l - 1)*(l + 1)**3/3
Let c(z) = z**3 - 10*z**2 - 37*z - 21. Let y be c(13). Factor -3/4*x + 0*x**2 + 3/2*x**3 - 3/4*x**y + 0 + 0*x**4.
-3*x*(x - 1)**2*(x + 1)**2/4
What is a in -24/11*a - 16/11 + 4/11*a**2 + 2*a**3 + 12/11*a**4 + 2/11*a**5 = 0?
-2, -1, 1
Let r(b) = -b**2 + 7*b - 8. Let n be r(5). Let a be 14/(-6) - (-5 + n + -1). Factor -1/3*g**3 - 8/3*g + 4/3 + a*g**2.
-(g - 2)**2*(g - 1)/3
Let y(u) be the second derivative of 1/30*u**4 + 0 + 11/100*u**5 + 0*u**3 + 20*u + 1/30*u**7 + 8/75*u**6 + 0*u**2. Factor y(g).
g**2*(g + 1)**2*(7*g + 2)/5
Let i = -42956/3 - -14320. Factor -16/3 - 20/3*r**2 - i*r**3 - 32/3*r.
-4*(r + 1)*(r + 2)**2/3
Let l(d) be the first derivative of 325*d**6/8 + 1689*d**5 - 12669*d**4/16 - 3475*d**3/2 - 519*d**2/2 + 210*d + 706. Suppose l(s) = 0. What is s?
-35, -2/5, 2/13, 1
Let w(d) be the first derivative of -d**6/12 + 3*d**5/20 + 3*d**4/2 - 13*d**3/12 - 3*d**2/2 - 420. Let w(t) = 0. Calculate t.
-3, -1/2, 0, 1, 4
Let f = -2/4541 - -4547/13623. Let w = 2/247 + 488/741. Solve f*c**2 - c + w = 0.
1, 2
Let k(o) be the third derivative of -4*o**2 + 0 - 1/840*o**7 - 1/24*o**3 + 1/120*o**6 - 1/40*o**5 + 0*o + 1/24*o**4. Factor k(u).
-(u - 1)**4/4
Let -20/9*x**2 - 2/9*x**3 + 20/9 + 2/9*x = 0. Calculate x.
-10, -1, 1
Let z(b) be the second derivative of b**6/6 - b**5/4 + 21*b. Factor z(y).
5*y**3*(y - 1)
Let k be (3/9)/((-2)/(-30)). Let g = 10332/5 + -2064. Find w, given that -36/5*w**k - 52/5*w + g + 12*w**4 + 152/5*w**3 - 8/5*w**2 = 0.
-1, 1/3, 3
Let z(j) = 2*j**2 - j + 3. Let a be z(0). Factor -a*x**3 + 7*x**3 + 31*x - x**4 - 17*x - 9 + 2*x**2 - 26*x.
-(x - 3)**2*(x + 1)**2
Factor 3*c + 24*c**4 + 254*c**5 - 3*c - 514*c**5 + 256*c**5.
-4*c**4*(c - 6)
Let m(f) = -64*f**5 - 91*f**4 - 4*f**3 + 24*f**2 - 4*f - 5. Let n(l) = -32*l**5 - 45*l**4 - 2*l**3 + 12*l**2 - 2*l - 3. Let j(y) = 3*m(y) - 5*n(y). Factor j(s).
-2*s*(s + 1)**2*(4*s - 1)**2
Suppose 4*a = 2*n + 6, -a + 2 = -0*a. Factor n + 2*d**2 + d - d + 4*d - d.
(d + 1)*(2*d + 1)
Suppose 2*i = i + 5*h + 9, -5*h - 1 = i. Suppose 2*t - 3*t - 3*t**2 + i*t**2 + 3*t = 0. What is t?
-2, 0
Let t(h) be the first derivative of h**3/3 - 4*h**2 - 45*h + 70. Let l be t(12). Find o such that 4/3*o - 1/3*o**l - o**2 + 0 = 0.
-4, 0, 1
Suppose 0 + 5/6*x**2 + 50/3*x = 0. Calculate x.
-20, 0
Suppose c + 0*d = -2*d + 12, d = -4*c + 20. Let a be (-16)/442 - c/(-26). What is m in 4/17*m + 2/17*m**2 +