 1/120*p**4 + 2 + 0*p. Let j(m) be the second derivative of t(m). Factor j(r).
r*(r - 1)/5
Factor -2*g**4 - 105*g + 109*g - 2*g**3 + 2*g**5 - 4*g**3 + 2*g**2 + 0*g**5.
2*g*(g - 2)*(g - 1)*(g + 1)**2
Let k(x) be the third derivative of x**7/840 + x**6/480 - x**5/240 - x**4/96 + 9*x**2. Determine r, given that k(r) = 0.
-1, 0, 1
Factor 2/7*r**5 + 0*r**3 + 0 + 0*r**2 - 2/7*r**4 + 0*r.
2*r**4*(r - 1)/7
Let u(l) be the second derivative of -2*l**7/105 + l**6/30 + 9*l**2/2 + 4*l. Let c(b) be the first derivative of u(b). Find k such that c(k) = 0.
0, 1
Suppose -5*q = 3*i - 14 + 1, 3 = 5*i - q. Let l be (-9)/(-6)*(i - -1). Suppose -l*y**2 + y**2 + 2*y**2 - y**2 = 0. Calculate y.
0
Determine x, given that 0 + 0*x + 1/3*x**4 + 0*x**2 + 0*x**3 + 1/3*x**5 = 0.
-1, 0
Solve -5/3*q - 1/3*q**5 + 1/3*q**4 + 2/3*q**2 - 1 + 2*q**3 = 0.
-1, 1, 3
Let d(g) be the first derivative of g**4/42 - g**3/7 + 2*g**2/7 + 2*g + 1. Let c(v) be the first derivative of d(v). Determine j so that c(j) = 0.
1, 2
Suppose -4*s = -2*s + 4*i - 92, -3*s + 140 = 5*i. Factor s*f**2 + f - f - 8 + 0*f.
2*(5*f - 2)*(5*f + 2)
Let q(a) be the second derivative of a**5/15 + 5*a**4/36 - 7*a**3/18 - a**2/3 + 7*a. Factor q(u).
(u - 1)*(u + 2)*(4*u + 1)/3
Let p(s) be the first derivative of 4*s**5/5 - 4*s**4 + 4*s**3 + 8*s**2 - 16*s + 11. Determine b so that p(b) = 0.
-1, 1, 2
Let i = -229 + 2063/9. Let x(o) = o. Let m be x(0). Solve 2/9*q + 4/9*q**2 + m + i*q**3 = 0 for q.
-1, 0
Let f = 14 + -12. Let -24*l**3 + 16*l**4 + 16*l**f + 5*l**2 - 5*l**2 - 4*l**5 - 4*l = 0. What is l?
0, 1
Let d(s) be the first derivative of 7*s**3 - 9*s**2/2 - 12*s - 21. Factor d(j).
3*(j - 1)*(7*j + 4)
Let u(o) be the first derivative of -o**4/18 + o**2/3 - 4*o/9 + 19. Let u(f) = 0. What is f?
-2, 1
Let n be (-87)/9 + (13 - 3). Factor 25/3*b**2 - n*b**5 + 5/3*b**3 + 16/3 - 5/3*b**4 - 40/3*b.
-(b - 1)**3*(b + 4)**2/3
Find i, given that 4/3 + 2*i - 2/3*i**3 + 0*i**2 = 0.
-1, 2
Let k(n) be the second derivative of -n**6/10 - 3*n**5/10 - n**4/4 - 3*n. Find v such that k(v) = 0.
-1, 0
Let l(g) be the first derivative of -g**8/9240 + g**6/660 + g**5/330 - g**3/3 + 2. Let k(x) be the third derivative of l(x). Factor k(b).
-2*b*(b - 2)*(b + 1)**2/11
Suppose -5*l - 4*r + 9 = 0, -3*l + 7 = 6*r - 4*r. Factor b**l - b**4 + b**3 - 2*b**3 + b**2 + 0*b**2.
b**2*(b - 1)**2*(b + 1)
Let i = 35 - 35. Let r(v) be the second derivative of 8/3*v**2 - 85/9*v**6 + v + i - 250/63*v**7 + 37/9*v**4 - 29/6*v**5 + 52/9*v**3. Let r(w) = 0. What is w?
-1, -2/5, 1/2
Let l(v) be the first derivative of 2*v - 2/3*v**3 - 2*v**2 + 2 - 1/12*v**4. Let x(b) be the first derivative of l(b). Factor x(m).
-(m + 2)**2
Let t(n) be the first derivative of -5*n**6/6 + 13*n**5/5 + n**4/4 - 17*n**3/3 + 2*n**2 + 4*n + 8. What is a in t(a) = 0?
-1, -2/5, 1, 2
Let a = -305/2 + 153. Find v, given that -a - 1/4*v**2 + 3/4*v = 0.
1, 2
Suppose 65*v - 70*v + 25 = 0. Let g(w) be the third derivative of 1/220*w**6 - 4*w**2 + 0*w + 0 - 1/33*w**4 + 1/1155*w**7 + 0*w**v + 0*w**3. Factor g(s).
2*s*(s - 1)*(s + 2)**2/11
Let a(n) be the third derivative of n**6/420 - n**4/21 - 5*n**2. Factor a(d).
2*d*(d - 2)*(d + 2)/7
Let q be 28/(-56)*0/(2/(-1)). Let m(l) be the second derivative of 0*l**3 + 3*l + 0*l**2 + q + 1/24*l**4. Factor m(y).
y**2/2
Let p(j) be the third derivative of -j**8/7560 + j**3/3 - j**2. Let w(v) be the first derivative of p(v). What is k in w(k) = 0?
0
Let c(w) = w + 7. Let z be c(-5). Factor -92*x**3 + 0*x**5 + z*x**4 + 89*x**3 - 2*x**2 + 3*x**5.
x**2*(x - 1)*(x + 1)*(3*x + 2)
Suppose 6 = 2*a - 26. Let h be (a/18)/(4/6). Factor -4/3*u + h + 1/3*u**2.
(u - 2)**2/3
Let a(x) be the first derivative of x**8/840 - x**7/70 + x**6/15 - x**5/6 + x**4/4 - 2*x**3/3 + 5. Let d(h) be the third derivative of a(h). Factor d(p).
2*(p - 3)*(p - 1)**3
Suppose -12 = -2*t + 3*h, 0*t + 2*t = h + 12. Suppose 3*q - t = -0*q. Factor -4 + s**2 + 0*s + q*s - 3*s**2 + 4*s.
-2*(s - 2)*(s - 1)
Let s(f) = 3*f - 1. Let j be s(1). Solve -2/5*h - 2/5*h**j + 0 = 0.
-1, 0
Let a(d) be the second derivative of -d**5/50 + d**4/10 + 4*d. Find j such that a(j) = 0.
0, 3
Let o = 23 - 17. Let v be 3/6 + 15/o. Factor -12/5*q**v - 2/5*q + 8/5*q**4 - 2/5*q**5 + 8/5*q**2 + 0.
-2*q*(q - 1)**4/5
Let c = -31/8 - -97/24. Factor 1/6 - 1/3*g + c*g**2.
(g - 1)**2/6
Suppose -196/5*k**3 + 0 - 112/5*k**2 - 16/5*k = 0. What is k?
-2/7, 0
Let x(y) be the second derivative of y**7/7560 + y**6/1080 + y**5/360 - y**4/6 + 2*y. Let n(w) be the third derivative of x(w). Determine l so that n(l) = 0.
-1
Let t(p) = -p**4 - 9*p**3 + 6*p**2 + 6. Let b(a) = -3*a**4 - 26*a**3 + 17*a**2 + 17. Let f(i) = -6*b(i) + 17*t(i). Factor f(y).
y**3*(y + 3)
What is v in 0 + 1/2*v**3 - 1/4*v**2 + 0*v = 0?
0, 1/2
Let k = -717 - -2911/4. Let o be (-3)/(-2)*(-1)/(-3). Solve 7*y**3 + 17/4*y - o - k*y**2 = 0.
1/4, 2/7, 1
Let s(y) be the first derivative of 4/5*y**5 + 0*y**3 + y**4 + 4 + 0*y + 0*y**2 + 1/6*y**6. Factor s(d).
d**3*(d + 2)**2
Let i(z) be the second derivative of z**6/315 - z**5/105 + z**4/84 - z**3/2 + 8*z. Let o(k) be the second derivative of i(k). Solve o(f) = 0.
1/2
Determine z, given that 0 + 0*z + 4/7*z**4 - 4/7*z**3 + 4/7*z**5 - 4/7*z**2 = 0.
-1, 0, 1
Let r(x) be the second derivative of x**5/40 + x**4/12 + x**3/12 - 8*x. Factor r(t).
t*(t + 1)**2/2
Let o(t) = t**3 - 4*t**2 + 5*t - 2. Let a be o(2). Determine u, given that 0*u - 1/3*u**2 + a = 0.
0
Solve -10*o**2 + 14*o**2 - 6*o - 2*o + 0*o = 0.
0, 2
Let s(t) be the first derivative of 7*t**6/120 - t**5/30 - 7*t**4/24 + t**3/3 + 3*t**2/2 + 3. Let m(h) be the second derivative of s(h). Factor m(o).
(o - 1)*(o + 1)*(7*o - 2)
Let d = 83/170 + -3/34. Determine h so that 2/5*h**3 + 2/5*h**2 - 2/5*h - d = 0.
-1, 1
Let r(l) be the second derivative of -l**6/70 + 3*l**5/140 + l**4/14 + 8*l. Suppose r(n) = 0. Calculate n.
-1, 0, 2
Let t(y) be the second derivative of 0*y**2 - 1/10*y**5 - 4*y + 0 - 1/6*y**4 + 1/15*y**6 + 1/3*y**3. Factor t(p).
2*p*(p - 1)**2*(p + 1)
Suppose 0 = -2*j + y + 5, -3*j + 3*y + 8 + 1 = 0. Suppose -j = -5*i - 2*s - 4, -3*s - 3 = 0. Factor i*g**2 + 2/3*g**3 + 1/3*g**4 - 1/3 - 2/3*g.
(g - 1)*(g + 1)**3/3
Let q(x) = 7*x**4 - 23*x**3 + 4*x**2 - 4. Let s(r) = -r - 5 - r**4 + 8*r**4 - 24*r**3 + 3*r**2 + 0*r**4. Let y(p) = -5*q(p) + 4*s(p). Let y(b) = 0. What is b?
-2/7, 0, 1, 2
Factor 16*w**2 + 12*w**3 + 2*w**4 + w**2 + 16*w + 3*w**2 + 4*w**2.
2*w*(w + 2)**3
Suppose 15*j - 21 = 54. Factor -2*y**3 - 2/5*y**4 + 16/5*y + 8/5 + 2/5*y**2 + 2/5*y**j.
2*(y - 2)**2*(y + 1)**3/5
Factor -1/4*j**4 - 8*j + j**3 + 3*j**2 - 16.
-(j - 4)**2*(j + 2)**2/4
Let d(n) be the first derivative of n**7/189 + 2*n**6/135 - n**4/27 - n**3/27 + n - 2. Let w(b) be the first derivative of d(b). Factor w(i).
2*i*(i - 1)*(i + 1)**3/9
Let r(j) be the first derivative of -j**4/24 + j**3/3 - 3*j**2/4 + 2*j/3 + 40. What is u in r(u) = 0?
1, 4
Let h(a) = -5*a**3 - 3*a**2 - a + 3. Let s(r) = -24*r**3 - 14*r**2 - 4*r + 14. Let k(g) = 28*h(g) - 6*s(g). Factor k(z).
4*z*(z - 1)*(z + 1)
Let i = 16 - 17. Let y(v) = -3*v**5 + 4*v**4 + 3*v**3 - 3*v**2 - v + 1. Let f(n) = -n**4 + n - 1. Let u(w) = i*y(w) - f(w). Find t, given that u(t) = 0.
-1, 0, 1
Let d = 333/20 + -65/4. Find t such that d*t - 1/5 - 1/5*t**2 = 0.
1
Let s be ((-8)/(-50))/(2/5). Factor s*u**3 + 0*u**2 - 2/5*u + 0.
2*u*(u - 1)*(u + 1)/5
Let t(f) = -3*f**2 + 4*f - 5. Let b(p) = 39*p**2 - 51*p + 66. Let m(q) = 2*b(q) + 27*t(q). Solve m(k) = 0 for k.
1
Factor 13*j - 4*j**3 + 22*j**2 + 7*j + 8 - 10*j**2 - 4*j**4.
-4*(j - 2)*(j + 1)**3
Let u be (-552)/(-120) + (1 - 4). Factor u*o**4 - 14/5*o**3 + 4/5*o**2 + 0 + 2/5*o.
2*o*(o - 1)**2*(4*o + 1)/5
Let l(a) = 44*a**4 + 160*a**3 - 26*a**2 - 206*a + 38. Let h(b) = 15*b**4 + 53*b**3 - 9*b**2 - 69*b + 13. Let t(p) = 10*h(p) - 3*l(p). Factor t(i).
2*(i - 1)*(i + 2)**2*(9*i - 2)
Let p(b) be the second derivative of 2*b**7/21 - 2*b**6/15 - 2*b**5/5 + b. Factor p(i).
4*i**3*(i - 2)*(i + 1)
Let k(h) be the third derivative of 2/9*h**4 + 0*h - 2/15*h**5 + 0 + 0*h**3 + 1/30*h**6 - 3*h**2 - 1/315*h**7. Factor k(j).
-2*j*(j - 2)**3/3
Let n be 4/3 - 44/(-12). Let q(v) be the first derivative of 0*v**n + 0*v + 0*v**3 + 0*v**2 - 1/14*v**4 + 1/21*v**6 + 1. Factor q(z).
2*z**3*(z - 1)*(z + 1)/7
Let j(i) be the third 