 2*w**2 + 60*w. Suppose o(i) = 0. Calculate i.
1, 17
Let y(t) be the first derivative of t**6/270 - t**5/90 - t**4/9 - 7*t**3/3 - 7. Let f(b) be the third derivative of y(b). Factor f(v).
4*(v - 2)*(v + 1)/3
Let o(d) = -4*d**4 + 32*d**3 - 82*d - 52. Let p(v) = -9*v**4 + 65*v**3 + v**2 - 164*v - 104. Let n(b) = -13*o(b) + 6*p(b). Factor n(a).
-2*(a - 2)*(a + 1)**2*(a + 13)
Let g = -832/15 + 56. Let q(h) be the second derivative of -16/3*h**3 - g*h**5 + 7*h - 22/9*h**4 + 0 - 2/45*h**6 - 6*h**2. Factor q(x).
-4*(x + 1)**2*(x + 3)**2/3
Let v(t) = 14*t**2 + 12*t - 8. Let f(q) = -2*q**2 - 1. Let d(w) = 8*f(w) + v(w). What is j in d(j) = 0?
2, 4
Let f(u) = 17*u**2 + 251*u. Let r(s) = -6*s**2 - 84*s. Let v(a) = -3*f(a) - 8*r(a). Factor v(c).
-3*c*(c + 27)
Let u(f) = -f**2 + 10*f + 6. Suppose 0 = -0*b - 4*b + 40. Let z be u(b). Let z - 22 + 20*s**2 - 4*s**3 + 32 - 32*s = 0. Calculate s.
1, 2
Suppose 12 = 4*h + s, -3*h + 3*s = 2*s - 9. Let f be 1/(-2)*0 + 3. Factor -f*r**2 + 2 - h*r**3 + 3*r + r**2 + r**3 - r.
-2*(r - 1)*(r + 1)**2
Solve -1/5 + 0*u + 1/5*u**2 = 0.
-1, 1
Let r(f) be the first derivative of f**6/30 - f**5/5 - f**4/12 + 2*f**3/3 - 27*f - 29. Let y(a) be the first derivative of r(a). Factor y(o).
o*(o - 4)*(o - 1)*(o + 1)
Let v(o) = -o**2 + 6. Let x be v(-2). Let 4*l**3 - x*l - 10*l**2 + 4 - 5*l**3 - 5*l**3 + 2*l**3 = 0. Calculate l.
-2, -1, 1/2
Find j, given that 5*j**2 + 56 + 9*j + 0*j**2 - 7*j**2 + 11*j - 2*j**2 = 0.
-2, 7
Let s(b) be the third derivative of 0 + 1/96*b**4 - 1/240*b**5 - 21*b**2 + 0*b**3 + 0*b. Suppose s(a) = 0. Calculate a.
0, 1
Let p(r) = -2*r + 20. Let h be p(12). Let t be 16/h + 5 - (-4 - -1). Factor -3/2*j**2 - 3*j**t + 15/4*j**3 + 3/4*j**5 + 0*j + 0.
3*j**2*(j - 2)*(j - 1)**2/4
Let h(r) = -7*r**3 - 7*r**2 + 5*r - 6. Let d(j) = 6*j**3 + 6*j**2 - 6*j + 6. Let i = 45 + -40. Let s(z) = i*d(z) + 4*h(z). Factor s(m).
2*(m - 1)**2*(m + 3)
Let j be (-35 - 8368/(-240)) + 8/15. Determine w, given that -4/5*w + 0 - j*w**3 - 6/5*w**2 = 0.
-2, -1, 0
Suppose -n - 4*h + 4 = 0, 5*n + 0*n - 3*h = 20. Factor 6 - v**2 + v**4 + 28*v**2 - 15*v**3 - 21*v + 2*v**n.
3*(v - 2)*(v - 1)**3
Let y(i) = 4*i**4 - 7*i**3 - 11*i**2 + 39*i - 3. Let h(u) = -8*u**4 + 13*u**3 + 23*u**2 - 83*u + 7. Let q(a) = -3*h(a) - 7*y(a). What is l in q(l) = 0?
-3/2, 0, 2
Let y(j) be the second derivative of j**9/3024 - j**7/168 + j**5/30 + 11*j**3/3 - 19*j. Let m(r) be the second derivative of y(r). Find p such that m(p) = 0.
-2, -1, 0, 1, 2
Let m(f) be the second derivative of -10/3*f**3 + 7*f - 5/12*f**4 - 10*f**2 + 0. Factor m(y).
-5*(y + 2)**2
Let p(z) be the second derivative of -z**6/15 - 3*z**5/5 + 4*z**4 - 26*z**3/3 + 9*z**2 - z + 26. Factor p(c).
-2*(c - 1)**3*(c + 9)
Solve 35*n - 39*n**3 + 9*n**2 + 19*n - 21*n**4 - 3085*n**5 + 3082*n**5 = 0.
-3, -2, 0, 1
Factor 1/4*j**3 + 3/4*j**2 - 45/4*j - 175/4.
(j - 7)*(j + 5)**2/4
Let d(m) be the first derivative of 5*m**3/6 + 7*m**2/12 - m/3 - 622. Suppose d(k) = 0. Calculate k.
-2/3, 1/5
Let n(o) = o**2 - 16*o + 8. Let v be n(19). Solve v*t**4 + 6 - 21 - 65*t + 50*t**3 + 15*t**5 - 321*t**2 + 271*t**2 = 0 for t.
-3, -1, -1/3, 1
Let k(u) be the second derivative of -3/14*u**5 + 2/7*u**2 + 9*u + 1/7*u**3 - 1/3*u**4 + 0. Let k(q) = 0. Calculate q.
-1, -1/3, 2/5
Let j(l) be the third derivative of 0*l**3 + 0*l**4 + 10*l**2 + 0*l - 1/15*l**6 - 2/35*l**7 + 0 - 1/84*l**8 + 0*l**5. Factor j(r).
-4*r**3*(r + 1)*(r + 2)
Suppose -2*z - 11 + 3 = -3*y, y + z - 6 = 0. Factor y*q**5 - 30*q**4 + 36 - 70*q**4 + 49*q + 184*q**2 + 120*q**3 + 83*q + 136*q**4.
4*(q + 1)**3*(q + 3)**2
Let f(d) be the first derivative of 2*d**4 - 1 + 16/15*d**3 + 28/25*d**5 + 1/5*d**6 + 0*d + 0*d**2. What is p in f(p) = 0?
-2, -2/3, 0
Solve -2 - 3*c**3 - 2731*c**4 + 4*c**2 + 3*c**3 + 2729*c**4 = 0 for c.
-1, 1
Let s(y) = -2*y - 9. Let i(t) = -t - 8. Let l(j) = 3*i(j) - 2*s(j). Let q be l(8). Factor 3 - 31*f + 4*f**3 + 7*f**q - f + 18*f.
(f - 1)*(f + 3)*(4*f - 1)
Let s(f) be the second derivative of -f**8/420 + f**7/210 + f**6/180 + f**4/3 - 12*f. Let c(g) be the third derivative of s(g). Factor c(o).
-4*o*(o - 1)*(4*o + 1)
Factor 0*y + 0*y**3 - 5*y**2 + 5/2*y**4 + 5/2.
5*(y - 1)**2*(y + 1)**2/2
Let s(q) be the third derivative of -q**5/70 + 13*q**4/7 - 676*q**3/7 - 9*q**2. Factor s(i).
-6*(i - 26)**2/7
Let o be (-8 - (-4 - 10))*26/39. Suppose 8/7*h**2 + 0*h + 36/7*h**3 + 4*h**o + 0 = 0. Calculate h.
-1, -2/7, 0
Let h(i) be the second derivative of 1/45*i**6 - 2/3*i**2 + 1/3*i**3 + 0 - 1/10*i**5 + 1/18*i**4 + 12*i. Factor h(g).
2*(g - 2)*(g - 1)**2*(g + 1)/3
Let o = -17/20 - -71/60. Factor -o*i**2 + 4/3 + i.
-(i - 4)*(i + 1)/3
Let q(o) be the third derivative of o**8/840 + o**7/75 + 3*o**6/50 + 2*o**5/15 + 2*o**4/15 + 752*o**2 + 2*o. Factor q(d).
2*d*(d + 1)*(d + 2)**3/5
Solve 72*n + 112*n**2 - 43*n**4 + 66*n**3 + 32*n**4 + 14*n**4 + 20*n**2 - 3*n**5 = 0 for n.
-2, -1, 0, 6
Suppose -24/5*r**3 + 3/5*r**4 + 48/5 + 66/5*r - 9/5*r**2 = 0. What is r?
-1, 2, 8
Let l(p) be the second derivative of -p**7/91 + p**6/39 - p**5/65 - 10*p + 7. Factor l(r).
-2*r**3*(r - 1)*(3*r - 2)/13
Suppose -2*h + 30 = -4*m, 4*h - 16 = 3*m + 19. Let j(z) be the third derivative of 0*z**3 + 0 + 1/72*z**4 + 1/45*z**h + 1/120*z**6 + z**2 + 0*z. Factor j(r).
r*(r + 1)*(3*r + 1)/3
Let n(q) be the second derivative of -1/7*q**2 + 1/6*q**3 - 1/210*q**6 + 1/28*q**5 + 4*q + 0 - 3/28*q**4. Factor n(t).
-(t - 2)*(t - 1)**3/7
Let r = 214/111 + -59/37. Let j be 2/20 - 4/(-10). What is q in j*q + r + 1/6*q**2 = 0?
-2, -1
Suppose 499*i - 516*i = 0. Determine x so that 6/5*x**2 + i + 2/5*x**3 + 4/5*x = 0.
-2, -1, 0
Let b be 105/25 + (-3)/15. Factor -147*i**b + i + 63*i**3 + 11*i + 83*i**2 - 11*i**2.
-3*i*(i - 1)*(7*i + 2)**2
Let m(s) = 31*s**2 - 2*s - 1. Let g be m(-1). Let w = -28 + g. Factor -1/2*v**w + 0 + 1/2*v**3 + 0*v**2 + 0*v.
-v**3*(v - 1)/2
Let c(n) be the first derivative of -n**4/16 - 3*n**3/4 - 726. Factor c(p).
-p**2*(p + 9)/4
Suppose -12 = -6*s + 12. Determine i, given that -3*i**s - 4*i + 22*i**2 - 24*i**3 - 7*i**4 - 8*i**4 = 0.
-2, 0, 1/3
Let y(s) be the third derivative of s**8/2016 - 2*s**7/315 + s**6/60 + 3*s**5/20 - 21*s**4/16 + 9*s**3/2 - s**2. Factor y(x).
(x - 3)**3*(x - 2)*(x + 3)/6
Let x(c) be the second derivative of -5*c + 0 - 1/54*c**4 + 0*c**3 + 0*c**2 + 1/36*c**5. Solve x(t) = 0 for t.
0, 2/5
Let o = -20842/11 - -1896. Factor -4/11 + 24/11*k**2 + 6/11*k + o*k**3.
2*(k + 1)**2*(7*k - 2)/11
Let n(a) = -a**2 - a. Let y(l) be the second derivative of l**5/20 + 5*l**4/12 - 2*l**2 + 10*l. Let s(z) = 20*n(z) + 5*y(z). Factor s(v).
5*(v - 2)*(v + 1)*(v + 2)
Factor -3*u + 0 + 15/2*u**2 - 9/2*u**3.
-3*u*(u - 1)*(3*u - 2)/2
Let j = -1127 + 1129. Let r(i) be the third derivative of -1/540*i**6 + 0*i**3 - i**j + 0 - 1/27*i**4 + 2/135*i**5 + 0*i. Factor r(v).
-2*v*(v - 2)**2/9
Let p be ((384/(-2800))/(22/(-165)))/(4/10). What is h in 3/7*h - p + 3/7*h**2 = 0?
-3, 2
Factor 2*a**3 + a**2 + 1/2*a**5 + 1 - 2*a**4 - 5/2*a.
(a - 2)*(a - 1)**3*(a + 1)/2
Let g(c) = -c**4 - 32*c**3 - 73*c**2 - 34*c. Let s(n) = -3*n**4 - 63*n**3 - 147*n**2 - 67*n. Let o(y) = 5*g(y) - 2*s(y). Factor o(i).
i*(i - 36)*(i + 1)**2
Let j = -1140 - -1142. Factor -3/4*k + 9/8*k**j + 0 - 3/8*k**3.
-3*k*(k - 2)*(k - 1)/8
Let b(u) be the second derivative of -u**4/6 + 26*u**3/3 + 87*u**2 + 406*u. Determine j so that b(j) = 0.
-3, 29
Let t = -34342/27 - -1272. Let g(f) be the third derivative of 1/30*f**5 + 0 - t*f**3 + 11*f**2 + 7/108*f**4 + 0*f. Factor g(c).
2*(c + 1)*(9*c - 2)/9
Let f = -3352 - -3354. Factor -8/7 + 4*t**f + 20/7*t.
4*(t + 1)*(7*t - 2)/7
Suppose 8*d = 149 - 37. Let h be (-214656)/(-6916) - (-4)/38. Factor 0 + h*n**3 + 36*n**4 + d*n**5 + 72/7*n**2 + 8/7*n.
2*n*(n + 1)**2*(7*n + 2)**2/7
Let u(a) be the third derivative of -a**6/840 - 13*a**5/420 + 43*a**4/84 - 12*a**3/7 - 680*a**2. Solve u(y) = 0.
-18, 1, 4
Let r(o) = 6*o**2 + 5*o - 4. Let x = -3 + 7. Let t(w) = 4*w**2 + x*w + 3*w**2 + 2 - 7. Let u(a) = 3*r(a) - 2*t(a). Factor u(y).
(y + 2)*(4*y - 1)
Let q(z) be the third derivative of -1/180*z**5 + 0*z + 1/630*z**7 - 1/120*z**6 + 0 + 4*z**2 + 1/36*z**4 + 0*z**3 + 1/1008*z**8. Factor q(b).
b*(b - 1)**2*(b + 1)*(b + 2)/3
Suppose 1 = -4*p - x, 2*p + 1 = 6*p - x. Let i(v) be the second derivative of -3