 8*i**2 + 20*i**2.
2*i**2*(i + 1)**2*(i + 11)
Let c be -2 + 5 + 0/1. Suppose 5*b - c*g = 20, -g - 12 = -3*b - 4*g. Factor -f**4 + 6*f**b - 4*f**4 + f**2 + f**3 - 3*f**3.
f**2*(f - 1)**2
Let p(r) = 160*r**4 - 340*r**3 + 200*r**2 - 8*r + 24. Let t(j) = -64*j**4 + 136*j**3 - 80*j**2 + 3*j - 10. Let g(b) = -5*p(b) - 12*t(b). Factor g(z).
-4*z*(z - 1)**2*(8*z - 1)
Let p(r) be the third derivative of r**6/600 + r**5/30 - 36*r**2 - 1. Let p(y) = 0. Calculate y.
-10, 0
Suppose -3*h + 1794 = -1479. Find o, given that -100 + 2*o**4 + 1141*o**3 - 54*o**2 - h*o**3 - 210*o - 8*o**4 = 0.
-1, -2/3, 5
Let o(p) be the third derivative of p**8/112 + 3*p**7/70 - 9*p**6/20 - 43*p**5/10 - 111*p**4/8 - 45*p**3/2 - 61*p**2. Let o(w) = 0. Calculate w.
-3, -1, 5
Let x = 8911/30 - 297. Let l(a) be the third derivative of 0 - x*a**6 + 0*a - 1/5*a**5 + 8/3*a**3 + 5*a**2 + 0*a**4. Factor l(j).
-4*(j - 1)*(j + 2)**2
Let n(v) = -9*v**2 - 108*v. Let p be n(-12). Let b(z) be the first derivative of p*z + 10 + 1/6*z**4 - 1/3*z**2 + 0*z**3. Factor b(q).
2*q*(q - 1)*(q + 1)/3
Let d(h) be the second derivative of h**5/4 - 10*h**3/3 + 67*h. Factor d(a).
5*a*(a - 2)*(a + 2)
Let f(g) be the second derivative of -1/110*g**5 + 19*g + 0*g**3 + 0*g**4 + 0 + 0*g**2. Solve f(z) = 0.
0
Suppose 0 = -l - k + 6, -56*k + 57*k = 2*l - 3. Find v such that 0*v - 7/2*v**4 + 0 + 2*v**2 - 6*v**l = 0.
-2, 0, 2/7
Suppose 2*c + 5*b - 11 = -16, 12 = -4*b. Let r(y) be the first derivative of -4/25*y**c + 0*y - 1/5*y**4 + 0*y**3 - 1 + 0*y**2. Factor r(g).
-4*g**3*(g + 1)/5
Let i(k) be the second derivative of -k**5/130 + 2*k**4/39 - k**3/13 + 5*k + 3. Factor i(z).
-2*z*(z - 3)*(z - 1)/13
Suppose 3 = w + 3*v + 21, -5*w + 36 = -3*v. Suppose 2*q = 2*d - 8, 3*d - 2*d = 3*q + 12. Solve 2/9*j**5 - 4/9*j**2 - 2/9*j + 0 + d*j**w + 4/9*j**4 = 0.
-1, 0, 1
Let t be -3*(238/(-51) - -1*1). Suppose 2*q + 45 = t*q. What is y in 7/3*y + 8/3*y**4 - 2/3 - 2*y**2 - y**q - 4/3*y**3 = 0?
-1, 2/3, 1
Factor 14 + 8*r**3 + 11 - 6*r**4 - 25 + r**5.
r**3*(r - 4)*(r - 2)
Let c(z) be the second derivative of z**9/12096 + z**8/3360 + z**7/3360 - 17*z**3/6 - 19*z. Let q(u) be the second derivative of c(u). Solve q(x) = 0 for x.
-1, 0
Let d = -15649306/165 + 94844. Let t = 4/33 - d. Factor 0 - 2/5*y**2 + 4/5*y**3 + 0*y - t*y**4.
-2*y**2*(y - 1)**2/5
Factor 60/7 + 162/7*t + 54/7*t**3 + 6/7*t**4 + 150/7*t**2.
6*(t + 1)**2*(t + 2)*(t + 5)/7
Let f be (1 - 3) + 0 + 6. Suppose -4*x + 5*x + 3 = -2*q, 2*q = f*x + 12. Determine j, given that -3*j + j + q*j + 3*j**2 - 4*j = 0.
0, 2
Let z be 10 + (3/(-3) - 0). Suppose 9 = 3*r - z. Factor 2*c**2 - c**2 - 7*c**2 - r*c**3 + 2*c**2.
-2*c**2*(3*c + 2)
Let m = 479 + -479. Factor -2/7*k**5 + m + 0*k**2 + 0*k - 4/7*k**4 - 2/7*k**3.
-2*k**3*(k + 1)**2/7
Determine t, given that -58/7*t - 1/7*t**2 - 841/7 = 0.
-29
Factor -6*b + 2/5*b**5 + 8/5 + 0*b**4 + 8*b**2 - 4*b**3.
2*(b - 1)**4*(b + 4)/5
Let u(w) = -2*w**2 - 15*w - 6. Let d be u(-6). Let q be 8/d*36/16. Factor 1/2*z**3 - 2*z**2 + q*z + 0.
z*(z - 3)*(z - 1)/2
Let u(f) be the third derivative of 1/840*f**8 - 1/20*f**4 - 1/75*f**5 + 0*f - 1/15*f**3 + 1/150*f**6 + 21*f**2 + 1/175*f**7 + 0. Factor u(g).
2*(g - 1)*(g + 1)**4/5
Let a(j) be the first derivative of -4*j**6/15 - 5*j**5/2 - 9*j**4 - 44*j**3/3 - 8*j**2 - 27*j - 4. Let t(l) be the first derivative of a(l). Factor t(y).
-2*(y + 2)**3*(4*y + 1)
Let i(s) be the second derivative of -24*s - s**3 + 3/2*s**2 + 1/4*s**4 + 0. Solve i(n) = 0.
1
Let i = -96 + 105. Let g(s) = s**2 - 3*s - 3. Let c be g(5). Find x, given that 8*x - c*x**4 - 3*x**2 - 8*x**3 + 0*x**3 + i*x**2 + 2 - x**4 = 0.
-1, -1/2, 1
Let i(d) be the first derivative of d**3 - 15*d**2 - 33*d + 356. Factor i(l).
3*(l - 11)*(l + 1)
Let d(u) = 80*u**2 + 485*u. Let i(o) = -3*o**2 - 18*o. Suppose 3*b = -0*b + 5*c - 160, 1 = -c. Let q(y) = b*i(y) - 2*d(y). Factor q(s).
5*s*(s + 4)
Suppose -5 = -3*g + 10. Suppose q + 2*y = -2*q + 19, 2*y - 25 = -g*q. Suppose 4*c**2 + 11*c**q + 8*c**2 + 4 - c**3 + 10*c**3 - 20*c - 16*c**4 = 0. What is c?
-1, 1/4, 1
Let r(d) be the third derivative of d**6/120 + 9*d**5/20 + 17*d**4/8 + 25*d**3/6 + 365*d**2. Factor r(j).
(j + 1)**2*(j + 25)
Let x be 7/2 + (-5 - -3). Suppose 256*d - 259*d = -5*v - 6, 5*d - 4*v = 10. What is u in 3 - x*u**d + 3/2*u = 0?
-1, 2
Let y(i) = -2*i**3 + 132*i**2 + 4494*i - 4633. Let q(f) = -7*f**3 + 529*f**2 + 17974*f - 18529. Let h(w) = -6*q(w) + 22*y(w). Solve h(l) = 0.
-68, 1
Let r = 666 + -2663/4. Factor 3/4*a**2 + r*a**3 - 1 + 0*a.
(a - 1)*(a + 2)**2/4
Let j(h) be the second derivative of -h**8/16800 + h**7/3150 + h**6/1800 - h**5/150 - 5*h**4/4 - 2*h. Let m(u) be the third derivative of j(u). Factor m(v).
-2*(v - 2)*(v - 1)*(v + 1)/5
Let f(z) be the third derivative of -1/300*z**6 + 32*z**2 + 0*z - 1/6*z**4 + 0 - 7/150*z**5 + 0*z**3. Factor f(n).
-2*n*(n + 2)*(n + 5)/5
Let d be (-27)/(-15)*(-20)/(-606). Let s = d - -897/202. Factor -3/2 - s*f - 9/2*f**2 - 3/2*f**3.
-3*(f + 1)**3/2
Let b(r) = 152*r. Let y be b(0). Solve 9/2*x + y - 3/2*x**2 = 0 for x.
0, 3
Let a(q) be the first derivative of -q**8/6720 + q**7/480 - q**6/80 + q**5/24 - q**4/12 + 10*q**3/3 + 23. Let l(h) be the third derivative of a(h). Factor l(g).
-(g - 2)**3*(g - 1)/4
Let a = 62/29 + 104/87. Solve -25/3 - 1/3*l**2 + a*l = 0.
5
Let b(c) = -4*c - 3. Let f be b(4). Let w = -11 - f. Factor -36*a**3 + 10*a**4 + 3*a**4 + w*a**4 + 6*a + 9*a**2.
3*a*(a - 1)**2*(7*a + 2)
Let x(t) = 4*t + 57. Let h be x(-11). Suppose -11*c = -h*c. Solve -1/4*d**3 + 0*d + c + 0*d**2 + 1/8*d**4 = 0.
0, 2
Let a(v) be the third derivative of v**5/60 - 5*v**4/8 + 13*v**3/3 + 150*v**2. Let a(l) = 0. What is l?
2, 13
Let f(b) be the first derivative of -b**5/630 - 11*b**2/2 - 12. Let l(t) be the second derivative of f(t). Factor l(y).
-2*y**2/21
Suppose 0 = 18*p - 19*p - 6. Let v be (-4)/p - 2*4/(-6). Find n such that 15/4*n**3 + 1/2 + 3/4*n - n**4 - 4*n**v = 0.
-1/4, 1, 2
Let r(x) = 14*x**5 + 12*x**4 + 15*x**3 - 5*x**2 - 11*x + 11. Let d(v) = 5*v**5 + 4*v**4 + 5*v**3 - 2*v**2 - 4*v + 4. Let t(n) = 11*d(n) - 4*r(n). Factor t(a).
-a**2*(a + 1)**2*(a + 2)
Let a be 21/(-18)*(-6)/28. Suppose -239*u = -237*u - 8. Suppose -1/4*x**3 + 0*x + 1/4*x**5 + 0 + a*x**2 - 1/4*x**u = 0. What is x?
-1, 0, 1
Factor 1/3*r**3 - 11/3*r - 2 - 4/3*r**2.
(r - 6)*(r + 1)**2/3
Let z(c) be the third derivative of -1/168*c**4 - 1/420*c**5 + 0*c**3 + 0 + 9*c**2 + 0*c. Find d such that z(d) = 0.
-1, 0
Let b = -3674 - -3677. Solve -2/3*r**4 - 2/9*r**b - 4/9 + 2/9*r + 10/9*r**2 = 0.
-1, 2/3, 1
Let h(a) be the first derivative of -a**6/150 + a**5/50 + a**4/60 - a**3/15 + 8*a - 9. Let o(b) be the first derivative of h(b). Solve o(m) = 0.
-1, 0, 1, 2
Factor -5/2*z + 1 - 8*z**2 - 9/2*z**3.
-(z + 1)**2*(9*z - 2)/2
Suppose -9 = -5*p - 24, 9 = 3*r - 3*p. Suppose -4*m - 6*u + 4*u + 8 = 0, r = m - 4*u - 2. Suppose -2/9 + 2/9*y + 2/9*y**m - 2/9*y**3 = 0. Calculate y.
-1, 1
Let p(d) be the first derivative of -d**6/60 + d**5/40 + d**4/24 - d**3/12 - 7*d + 15. Let r(c) be the first derivative of p(c). Factor r(w).
-w*(w - 1)**2*(w + 1)/2
Let t(g) = -23*g**2 - 13*g - 36. Let j(b) = -6*b - 2*b - 6 - 4*b**2 + 6*b. Let c(v) = 34*j(v) - 6*t(v). Factor c(f).
2*(f + 2)*(f + 3)
Let c(b) = -5*b**2 + 20*b + 28. Let t(p) = 19*p**2 - 80*p - 110. Let r(z) = 22*c(z) + 6*t(z). Let r(i) = 0. What is i?
-1, 11
Suppose 3*z = 2*x + 1, 9 - 2 = z + x. Let -12*v**2 - 2*v**3 + 18*v - v**z - 2*v**3 + 7*v**3 = 0. What is v?
0, 3
Suppose 93*n - 3 = 92*n. Let j be n/1 - (-91)/(-35). Solve -24/5*t - 12/5*t**2 - j*t**3 - 16/5 = 0.
-2
Let h(q) = 11*q + 3. Let b be h(3). Suppose 0 = 3*j + j - b. Factor 1 - 9*m + 0*m**4 + j*m**3 - 3*m**4 - 3*m**2 + 5.
-3*(m - 2)*(m - 1)**2*(m + 1)
Factor 32/3*c**2 + 2 + 1/3*c**5 + 2/3*c**4 - 23/3*c - 6*c**3.
(c - 1)**4*(c + 6)/3
Suppose -7*l - 58 + 79 = 0. Factor 21/5*h + 3/5*h**4 + 27/5*h**2 + l*h**3 + 6/5.
3*(h + 1)**3*(h + 2)/5
Let g = 33275 + -33272. Factor -3/8*j**g + 0 + 0*j - 3/8*j**2.
-3*j**2*(j + 1)/8
Let l(x) be the third derivative of 7/390*x**5 + 0*x**3 + 0 - 27*x**2 - 1/195*x**7 + 1/52*x**4 - 1/780*x**6 - 1/1092*x**8 + 0*x. Suppose l(r) = 0. What is r?
-3, -1, -1/2, 0, 1
Let t be 1 - (-15)/(-20)*4/3. Let a(j) be the second derivative of 0*j**2 - 3/4*j**4 + 4*j + t + 1/2*j**3. Dete