*b**4.
2*(b + 1)**3*(3*b + 1)/7
Let n(c) = c**3 + 11*c**2 + 10*c + 4. Let v be n(-10). Suppose 8*k + v*k - 36 = 0. Factor 2/9*j**4 + 0 + 2/3*j**2 - 2/3*j**k - 2/9*j.
2*j*(j - 1)**3/9
Let q(s) = -s**2 + 2*s + 3. Let b be q(0). Suppose -5*i**3 - i**b + i + 5*i**3 + 0*i**3 = 0. Calculate i.
-1, 0, 1
Let p(z) be the third derivative of z**5/6 - 25*z**4/16 - 5*z**3/3 + z**2 - 2*z. Let p(q) = 0. What is q?
-1/4, 4
Let w(x) be the first derivative of x**9/13608 - x**7/1260 - x**6/810 - 20*x**3/3 + 10. Let p(r) be the third derivative of w(r). Suppose p(j) = 0. Calculate j.
-1, 0, 2
Find u such that 8/7*u**5 - 8/7*u + 16/7*u**2 + 54/7*u**3 + 0 + 38/7*u**4 = 0.
-2, -1, 0, 1/4
Let t = -635796740 + 9889818294878/15555. Let l = -2/1037 + t. Factor -32/15*f**4 - 16/5*f**3 + 0 + 2*f**2 - l*f.
-2*f*(f + 2)*(4*f - 1)**2/15
Let t = -5 - -9. Let y be (-57)/171 + (10/3)/1. Solve 15*z**y - 11 - 16*z + 11 - 4*z**t - 3*z**3 = 0.
-1, 0, 2
Let v(g) be the second derivative of -g**4/3 + 2*g**3/3 + g**2 + 24*g. Let h(d) = -21*d**2 + 21*d + 11. Let j(c) = -4*h(c) + 22*v(c). Let j(n) = 0. Calculate n.
0, 1
Suppose 11*b - 113 = -69. Let k(q) be the first derivative of 2/5*q**b + 8/25*q**5 - 2/15*q**6 + 8/5*q + 7 - 2/5*q**2 - 16/15*q**3. Find c such that k(c) = 0.
-1, 1, 2
Let o = -20 + 25. Suppose -2*m + 57 = 3*u + m, -3*u - o*m = -65. Factor p**2 + 3 - u*p + 7*p + 3*p**2 + 1.
4*(p - 1)**2
Let q be -2 - ((-15)/(-10) + (-426)/120). Let k(y) be the first derivative of 1/4*y**2 + 1/4*y**3 - q*y**5 + 0*y**4 + 6 + 0*y. Suppose k(u) = 0. Calculate u.
-1, 0, 2
Let s(r) be the third derivative of -r**6/1020 + r**4/68 + 2*r**3/51 - 71*r**2. Determine p, given that s(p) = 0.
-1, 2
Let m be 4/6 - 14/(-6). Suppose -2*x - m*x + 10 = 0. Find p such that 2*p**3 - 2*p**2 + 6*p + x + p**2 + 7*p**2 = 0.
-1
Suppose 598 = -19*n + 655. Let w(m) be the first derivative of 5*m**2 + 9 - n*m - 25/9*m**3. Factor w(k).
-(5*k - 3)**2/3
Let f(y) be the third derivative of 1/10*y**5 - 4/3*y**3 + 0*y + 0 + 1/60*y**6 + 5*y**2 + 0*y**4. Determine n so that f(n) = 0.
-2, 1
Let k(v) be the second derivative of -v**5/16 + 15*v**4/8 - 20*v**3/3 + 282*v. Determine h, given that k(h) = 0.
0, 2, 16
Suppose -2*c + 45 - 19 = 0. What is b in 17 - 2*b**3 + b**4 - c - b**2 - 3*b**2 + b**2 + 4*b = 0?
-1, 2
Let b(w) be the first derivative of -2*w**5/35 + 40*w**4/7 - 158*w**3/21 - 463. Suppose b(n) = 0. Calculate n.
0, 1, 79
Let 50*z**2 + 2672*z**4 - 136*z**3 - 914*z**4 - 791*z**4 + 35*z**5 - 79*z**3 - 837*z**4 = 0. What is z?
-5, 0, 2/7, 1
Let j(p) = 3*p + 58. Let m be j(0). Factor 4*q - 20*q**3 - 3*q - 59*q**2 + m*q**2.
-q*(4*q + 1)*(5*q - 1)
Let f(c) be the third derivative of c**6/1200 + c**5/600 - 7*c**4/30 + 12*c**3/5 + 5*c**2 + 14*c. Let f(v) = 0. What is v?
-9, 4
Find a, given that 22/5*a - 48/5 - 2/5*a**2 = 0.
3, 8
Let p(d) be the third derivative of -d**6/1020 + 2*d**5/255 + d**2 - 31*d. Determine i so that p(i) = 0.
0, 4
Let z(t) be the first derivative of -2/7*t + 5/14*t**2 - 1/7*t**3 - 13. Factor z(k).
-(k - 1)*(3*k - 2)/7
Let v(n) be the first derivative of -4*n**6/27 + 14*n**5/45 + 5*n**4/6 - 570. Let v(k) = 0. Calculate k.
-5/4, 0, 3
Let q be (-4)/(-5) + (-42)/(-10). Suppose 2*a = -y, 2*y + q*a = y - 3. Factor 2/5*w**y - 4/15*w + 0.
2*w*(3*w - 2)/15
Factor 4*n**4 - 56*n**3 + 56*n + 192*n**2 + 36 - 4 - 150 - 78.
4*(n - 7)**2*(n - 1)*(n + 1)
Let w be (-15)/12 - (-56)/16. Find h, given that 0 + 3/4*h + 3/2*h**3 - w*h**2 = 0.
0, 1/2, 1
Suppose -4*t + g = -56, -5*t + 10*t - 3*g - 63 = 0. Factor t*r - 3 + 8 - 1 - 3*r - 7*r**2.
-(r - 2)*(7*r + 2)
Let r(w) be the third derivative of 4/15*w**3 + 1/50*w**5 + 0 + 12*w**2 + 1/10*w**4 + 0*w + 1/600*w**6. Determine f so that r(f) = 0.
-2
Let n(q) be the second derivative of q**5/30 - 7*q**4/18 - 41*q**3/9 - 11*q**2 - 2*q + 90. Factor n(t).
2*(t - 11)*(t + 1)*(t + 3)/3
Let z(u) = -14*u**2 - 139*u - 214. Let k(c) = 3*c**2 + 28*c + 43. Let x(b) = 11*k(b) + 2*z(b). Find o such that x(o) = 0.
-3
Suppose -9 = -2*c - c. Let m be (-20)/30*c*2/(-8). Suppose 1/2*l**2 + m + l = 0. What is l?
-1
Let f(w) be the second derivative of w**4/34 - 89*w**3/51 + 58*w**2/17 + 426*w. Factor f(g).
2*(g - 29)*(3*g - 2)/17
Let s(y) be the first derivative of 2*y**6/3 + 12*y**5/5 - 2*y**4 - 16*y**3 - 16*y**2 - 147. Determine b, given that s(b) = 0.
-2, -1, 0, 2
Let a(k) be the second derivative of k**4/42 - k**3/7 + 111*k. Let a(c) = 0. What is c?
0, 3
Suppose -5*g + 3*b + 35 = 0, 5*g + 1 = -b + 16. Let a(i) be the first derivative of 5 - i - 1/4*i**g + 1/2*i**2 + 1/3*i**3. Factor a(u).
-(u - 1)**2*(u + 1)
Let u(x) = x**4 - x**2 + 2. Let m(j) = 8*j**4 + 24*j**3 + 40*j**2 + 24*j + 8. Let b(d) = -m(d) + 4*u(d). Find y, given that b(y) = 0.
-3, -2, -1, 0
Let t(j) be the second derivative of 13*j + 3/10*j**2 + 3/10*j**3 + 0 + 1/10*j**4. Factor t(q).
3*(q + 1)*(2*q + 1)/5
Let q(n) be the third derivative of -n**7/105 - 23*n**6/30 - 286*n**5/15 - 242*n**4/3 + 2*n**2 - 86. Factor q(v).
-2*v*(v + 2)*(v + 22)**2
Let r = 37 - 35. Suppose 0 = 4*y + 3*b + 2 - 22, 3*b = -2*y + 16. Suppose -2*u**2 - 9*u - 3*u**y - 6 + 2*u**r = 0. Calculate u.
-2, -1
Let u(o) be the second derivative of 0*o**4 + 3/80*o**5 + 0*o**2 + 22*o + 0*o**3 + 0 + 1/40*o**6. Factor u(a).
3*a**3*(a + 1)/4
Factor 100/3*u**2 + 26/3*u**3 - 4 + 62/3*u.
2*(u + 1)*(u + 3)*(13*u - 2)/3
Let h(r) = 26*r**3 + 199*r**2 - 26*r - 221. Let j(o) = 5*o**3 + 40*o**2 - 5*o - 44. Let c(y) = 2*h(y) - 11*j(y). Determine p so that c(p) = 0.
-14, -1, 1
Let n(q) be the first derivative of -7/5*q**2 + 1/10*q**4 - 4 + 0*q**3 - 12/5*q. Factor n(l).
2*(l - 3)*(l + 1)*(l + 2)/5
Let v be ((-1)/1)/((-8)/144). Suppose -5*s - 25 + 75 = 5*h, -v = -h - 3*s. Find w such that h*w**2 + 30*w + 15*w**2 - 18 + 27 = 0.
-1, -3/7
Let v(g) = 6*g**2 - 3. Suppose 4*j = h + 4, 2*j + 3*h - 7 = 9. Let d(m) = m**3 + 5*m**2 - 2. Let r(f) = j*v(f) - 3*d(f). Factor r(a).
-3*a**2*(a + 1)
Solve 15/4*g**2 + 13*g + 9 - 1/4*g**3 = 0.
-2, -1, 18
Let l(q) be the second derivative of q**5/135 - 2*q**4/9 + 8*q**3/3 + 7*q**2 + 9*q. Let m(t) be the first derivative of l(t). Let m(j) = 0. Calculate j.
6
Let y(x) be the third derivative of 0 + 0*x + 1/56*x**8 - 9/140*x**7 + 0*x**3 + 3/40*x**6 + 0*x**4 - 1/40*x**5 - 25*x**2. Solve y(j) = 0 for j.
0, 1/4, 1
Let h(z) be the first derivative of -4/3*z**3 + z**4 + 2*z + 33 + 2/5*z**5 - 1/3*z**6 - z**2. Factor h(r).
-2*(r - 1)**3*(r + 1)**2
Factor -30*o**3 + 6 - 25*o + 18*o**2 + 11*o**5 + 22*o**2 - 2*o**4 - 12*o**5 + 12*o**4.
-(o - 6)*(o - 1)**4
Suppose 6*m = 3*m + 9. Let s be (1 + (6 - m))*1. Factor -10*t - 8*t + 14*t**4 - 10*t**2 - s - 4*t**3 + 22*t**3.
2*(t - 1)*(t + 1)**2*(7*t + 2)
Let f(q) = -37*q - 16. Let u be f(-2). Suppose -u*t - 10 = -63*t. Factor 0 + 1/4*l**4 + 0*l + 1/4*l**3 + 0*l**t.
l**3*(l + 1)/4
Let g = 3058/5 + -610. Let f(n) be the third derivative of -6*n**2 + 7/6*n**6 + 0*n + 0 + 0*n**3 + 2/3*n**4 - g*n**5. Factor f(s).
4*s*(5*s - 2)*(7*s - 2)
Let 15/2*t**5 + 10*t**2 + 0 - 45/2*t**3 + 10/3*t + 5/3*t**4 = 0. Calculate t.
-2, -2/9, 0, 1
Let h(r) be the first derivative of r**3 + 20*r**2 + 13*r - 23. Factor h(u).
(u + 13)*(3*u + 1)
Factor -2/3*u**3 - 2/3*u - 4/3*u**2 + 0.
-2*u*(u + 1)**2/3
Factor 30*u - 3*u**2 - 18 - 46*u - u**2 + 6*u**2.
2*(u - 9)*(u + 1)
Factor -20*q**2 - 2*q**2 + 5*q**3 + 7*q**4 + 20*q - 4*q - 6*q**4.
q*(q - 2)*(q - 1)*(q + 8)
Let j(f) be the first derivative of f**4/84 + f**3/42 - f**2/7 - 11*f - 22. Let u(d) be the first derivative of j(d). Factor u(t).
(t - 1)*(t + 2)/7
Let a(d) be the first derivative of d**5/90 + d**4/9 + d**3/3 + 8*d**2 + 5. Let z(v) be the second derivative of a(v). Factor z(w).
2*(w + 1)*(w + 3)/3
Let n(c) = -c**3 + c. Let j(k) = -20*k**3 - 5*k**2 + 40*k. Let p(y) = -j(y) + 30*n(y). Let b(x) = x**3 + x**2 + x. Let i(f) = 5*b(f) + p(f). Factor i(o).
-5*o*(o - 1)**2
Find d, given that -332/5*d - 96*d**2 - 56/5 + 36/5*d**3 = 0.
-1/3, 14
Let l(o) = o - 2*o**2 + 7*o**2 - o**3 - o**4 - 2*o**2 - 2. Let k(t) = 2*t**4 + 2*t**3 - 6*t**2 - 2*t + 4. Let j(q) = 3*k(q) + 5*l(q). Factor j(f).
(f - 1)**2*(f + 1)*(f + 2)
Let v(r) be the first derivative of r**6/60 + 3*r**5/10 - 37*r**2/2 + 46. Let h(f) be the second derivative of v(f). Factor h(q).
2*q**2*(q + 9)
Let r(u) = -12*u + 1035. Let q be r(86). What