 Solve i(z) = 0 for z.
-1, 2
Factor 0 - 8/5*h + 2/5*h**2.
2*h*(h - 4)/5
Let q be 8/(-12) - (-72)/27. Let o(z) be the second derivative of -4*z + 0*z**q + 1/9*z**4 + 0 + 1/18*z**3. Factor o(c).
c*(4*c + 1)/3
Suppose -6*p + 1560 = 6*p. Let n = p + -130. What is x in -1/4*x**2 - 1/4*x**3 + n*x + 0 = 0?
-1, 0
Let m be -1 + 0 - (-45 + 0). Let q = m + -44. Factor q*z**2 + 0*z + 2/13*z**4 + 0 + 0*z**3 + 2/13*z**5.
2*z**4*(z + 1)/13
Let i(o) be the second derivative of o**6/12 + 27*o**5/4 + 85*o**4/2 + 250*o**3/3 + 871*o. Let i(y) = 0. What is y?
-50, -2, 0
What is f in 7/3*f**4 - 3*f**3 + 8/3*f + 0 - 7/3*f**2 + 1/3*f**5 = 0?
-8, -1, 0, 1
Let p(s) be the third derivative of 14*s**2 + 1/60*s**7 + 0*s + 0*s**3 + 0*s**4 - 1/48*s**6 + 0 - 1/60*s**5. Factor p(t).
t**2*(t - 1)*(7*t + 2)/2
Factor 33/2*o - 3/2*o**2 - 15.
-3*(o - 10)*(o - 1)/2
Let o(d) be the second derivative of -d**7/42 + 4*d**6/15 - 3*d**5/5 + 192*d + 2. Factor o(m).
-m**3*(m - 6)*(m - 2)
Let a(u) be the first derivative of -3*u - 1/3*u**4 - 4/3*u**3 + 0*u**2 - 7. Let g(x) be the first derivative of a(x). Factor g(t).
-4*t*(t + 2)
Let p(c) = 2*c**3 + 4*c**2 - 4. Let d(o) = 2*o**2 + o - 1. Let u be d(1). Let n(m) = -m. Let b(g) = u*n(g) + p(g). Let b(q) = 0. What is q?
-2, -1, 1
Suppose -r + 9 + 15 = 0. Find p such that -13*p**2 + r*p**2 + 240*p + 49*p**2 + 320 + 5*p**3 = 0.
-4
Suppose -2*l - t = -0*t + 13, 0 = -5*l - 4*t - 37. Let g be (-3)/l*40/32. Factor -3/4*m + 3/4 - 3/4*m**2 + g*m**3.
3*(m - 1)**2*(m + 1)/4
Let h(a) be the first derivative of 4/5*a**5 - 7/2*a**2 + 5*a**3 + a - 24 - 13/4*a**4. What is z in h(z) = 0?
1/4, 1
Factor -3*c**2 + 8*c**2 + 9026*c - 90 - 9041*c.
5*(c - 6)*(c + 3)
Find c, given that -5/2*c**3 + 57/2*c**2 + 54*c - 26 = 0.
-2, 2/5, 13
Let m(k) be the third derivative of k**5/360 - 13*k**4/144 - 5*k**3/6 - 49*k**2 + 2*k. What is h in m(h) = 0?
-2, 15
Let o(v) be the first derivative of -2*v + 1 + 7/6*v**2 - 1/9*v**3. Determine t, given that o(t) = 0.
1, 6
Let u(s) = s**2 + 3*s + 2. Let g be u(-4). Suppose y = 3*a - 14, 0*y = -2*a - y + g. Factor 0 + 0*b - 1/4*b**2 + 1/4*b**3 + 1/2*b**a.
b**2*(b + 1)*(2*b - 1)/4
Let r be 4/6 + (12 - 114/9). Let o(z) be the third derivative of 0*z - 4*z**2 - 1/28*z**4 + 0 + 2/21*z**3 + r*z**5 + 1/420*z**6. Factor o(k).
2*(k - 1)**2*(k + 2)/7
Suppose 10 = 2*b - 8. Let n = 11 - b. Factor -18*i**n + 17*i**3 - 7*i**3 + 3*i + 17*i**3.
3*i*(3*i - 1)**2
Let z be (0 - 1)*(-4)/10. Let j(b) = 2*b**2 + 118*b - 120. Let i be j(-60). Solve -8/5*x**3 + i + 2*x**2 - 4/5*x + z*x**4 = 0.
0, 1, 2
Let c be 1 - (-2 + 2) - 8. Let w = -4 - c. Solve -2*p**3 + p**3 - 3*p**3 + p**2 + w*p**4 = 0.
0, 1/3, 1
Let x(w) be the first derivative of -w**6/180 + w**5/15 - w**4/3 + 2*w**3 + 11. Let p(q) be the third derivative of x(q). Factor p(z).
-2*(z - 2)**2
Let k = -1/8517 - -1893/2839. Factor -22/3*g**4 + k*g - 8/3*g**5 - 6*g**3 - 2/3*g**2 + 0.
-2*g*(g + 1)**3*(4*g - 1)/3
Let j(s) be the second derivative of 0 - 18*s - 1/24*s**4 - 1/3*s**3 + 0*s**2. Factor j(c).
-c*(c + 4)/2
What is p in 2711*p**2 - 1359*p**2 + 120*p - 1357*p**2 = 0?
0, 24
Let r be (18/12 + -1)*3. Let l(i) be the first derivative of -r*i**4 + 6 + 0*i**2 + 1/2*i**3 + 6/5*i**5 + 0*i. What is q in l(q) = 0?
0, 1/2
Let t(v) be the first derivative of v**5/20 - v**4/8 - v**3 - 21*v**2/2 + 16. Let m(j) be the second derivative of t(j). Solve m(k) = 0 for k.
-1, 2
Let m(p) be the third derivative of 0*p**4 - 8*p**2 + 2/3*p**3 + 0*p + 0 - 1/15*p**5. Factor m(c).
-4*(c - 1)*(c + 1)
Let i = -38150 + 38152. Find f, given that 8/7*f**i + 14*f + 24/7 = 0.
-12, -1/4
Let g(a) = 5*a**5 + a**4 - 5*a**3 + 8*a**2 - 18*a - 9. Let z(o) = -2*o**5 + 2*o**3 - 4*o**2 + 8*o + 4. Let i(v) = 4*g(v) + 9*z(v). Factor i(k).
2*k**2*(k - 1)*(k + 1)*(k + 2)
Let a(s) be the first derivative of 147*s**4/10 - 28*s**3/5 + 4*s**2/5 + 6*s + 30. Let l(g) be the first derivative of a(g). Solve l(f) = 0 for f.
2/21
Let k(p) be the first derivative of -p**6/120 - p**5/30 - p**4/24 - 9*p**2/2 + 7. Let l(n) be the second derivative of k(n). Factor l(t).
-t*(t + 1)**2
Let h = -77 - -81. Find m such that h*m**5 + 20*m**2 - 10 + 12*m**3 + 4 - 10 - 32*m**3 - 4*m**4 + 16*m = 0.
-2, -1, 1, 2
Let y(n) = -26 + 4*n + 11 + 14 - n**2. Let g be y(3). Factor -12*a**3 - 11*a**2 - a**g + 11*a - 3*a + 0*a**3 + 8*a**4.
4*a*(a - 2)*(a + 1)*(2*a - 1)
Suppose h - 1 = 0, 577 = -3*c + 5*h - 4*h. Let f be 19/6 + 32/c. What is v in -2/9*v**f + 2/9*v**2 + 0*v + 0 = 0?
0, 1
Let f be (1/3)/(4/204). Let q be 7/1 + (f - 21). Factor 10*z - 14*z + 7*z**q + 2*z + 5*z**2.
z*(z + 1)*(7*z - 2)
Let l(p) be the first derivative of p**4/18 - 70*p**3/27 - 4*p**2 - 117. Factor l(z).
2*z*(z - 36)*(z + 1)/9
Let k be ((-8)/72)/((-6)/9 + 0). Determine r so that -k + 1/12*r**3 + 1/12*r**4 - 5/12*r - 1/4*r**2 = 0.
-1, 2
Let o be (-14)/1 + -7 + 12. Let q be o/(-30)*(-12)/(-18). Factor q*m**3 + 0 - 2/5*m**2 + 1/5*m**4 + 0*m.
m**2*(m - 1)*(m + 2)/5
Let l(o) be the third derivative of -11*o**7/420 - o**6/12 + o**5/30 + 54*o**2. Determine i so that l(i) = 0.
-2, 0, 2/11
Let h(r) be the third derivative of -r**6/600 + r**5/50 - r**4/15 - 38*r**2. Determine o, given that h(o) = 0.
0, 2, 4
Let m(w) be the first derivative of -w**5/22 - w**4/6 - 7*w**3/33 - w**2/11 - w - 28. Let n(q) be the first derivative of m(q). Solve n(h) = 0.
-1, -1/5
Let v(k) be the third derivative of -k**8/16800 - k**7/3150 - k**6/1800 + k**5/12 - k**2. Let t(h) be the third derivative of v(h). Factor t(p).
-2*(p + 1)*(3*p + 1)/5
Let w = 517 - 62039/120. Let c(t) be the third derivative of 1/24*t**4 - w*t**6 + t**2 - 1/840*t**7 + 0*t + 1/6*t**3 - 1/80*t**5 + 0. Factor c(s).
-(s - 1)*(s + 1)*(s + 2)**2/4
Let r(v) be the third derivative of -v**8/84 + 16*v**7/35 - 23*v**6/30 + 22*v**2. Factor r(i).
-4*i**3*(i - 23)*(i - 1)
Factor -45/7*y - 3/7*y**2 - 6.
-3*(y + 1)*(y + 14)/7
Let n(t) be the second derivative of 5/3*t**4 + t + 0*t**2 + 1/3*t**3 + 16/21*t**7 + 33/10*t**5 + 8/3*t**6 + 0. Determine p so that n(p) = 0.
-1, -1/4, 0
Let z(n) be the first derivative of n**7/441 - 4*n**6/315 - n**5/105 + 2*n**4/21 + n**3/7 - n - 33. Let u(o) be the first derivative of z(o). Factor u(r).
2*r*(r - 3)**2*(r + 1)**2/21
Let g = -18 - -30. Solve 20*f + g + 27*f**3 - 32*f**3 + 8 - 2*f**2 - 3*f**2 = 0 for f.
-2, -1, 2
Let n = -119 + 120. Let d(p) = p**2 + 9*p - 10. Let j be d(n). Let j + 4/19*s**3 + 6/19*s**4 + 2/19*s**5 + 0*s + 0*s**2 = 0. What is s?
-2, -1, 0
Factor -84081 + 91357 + 310244 + 5*x**2 + 2520*x.
5*(x + 252)**2
Let n be (2/3)/((-9)/(-81)). Let f be 14/n*(6 + (-66)/21). Factor 8/3*w - f*w**2 + 8/3*w**4 - 2/3*w**3 - 2/3*w**5 + 16/3.
-2*(w - 2)**3*(w + 1)**2/3
Suppose 12 = 4*n - 0*n. Factor 2*c**2 + 3*c**4 + 0*c**2 + 2*c**n - 5*c**4 - 2*c + 0*c**2.
-2*c*(c - 1)**2*(c + 1)
Solve 5/2*b**2 + 5*b + 5/2 = 0.
-1
Suppose -3*t = -5*q + 942 - 246, 2*t = q - 142. Let i = 416/3 - q. Factor -2/3*b + 0 + i*b**2.
2*b*(b - 1)/3
Let f(a) be the second derivative of -a**6/20 - 3*a**5/10 + 13*a**4/8 + 7*a**3 - 45*a**2 + 48*a. What is q in f(q) = 0?
-5, -3, 2
Let w(c) be the first derivative of 3*c**4/16 + c**3/3 - 9*c**2/8 - 5*c/2 - 205. Factor w(o).
(o + 1)*(o + 2)*(3*o - 5)/4
Determine y, given that 12/5*y + 5/2 - 1/10*y**2 = 0.
-1, 25
Let s(l) be the third derivative of -l**7/42 + l**6/8 + l**5/4 - 55*l**4/24 + 5*l**3 + 406*l**2. Factor s(b).
-5*(b - 3)*(b - 1)**2*(b + 2)
Let k(j) be the second derivative of -j**5/2 - 4*j**4/3 - j**3 - 28*j + 4. Factor k(h).
-2*h*(h + 1)*(5*h + 3)
Let v(p) be the third derivative of -p**7/4620 + p**6/396 - p**5/220 - 3*p**4/44 - 7*p**3/6 - 7*p**2. Let m(y) be the first derivative of v(y). Factor m(b).
-2*(b - 3)**2*(b + 1)/11
Solve 22*m**2 - 25*m - 11*m**3 - 24*m**3 + 63*m**2 + 114*m**4 - 109*m**4 - 30*m**2 = 0 for m.
0, 1, 5
Suppose -3*y - 2*c = -20, c - 3 - 1 = 0. Find u, given that -11*u**3 - y*u**4 - 5*u**3 - 2*u**5 + 14*u**3 = 0.
-1, 0
Let o be (-27)/(-12) - (-1)/(-4). Suppose 25*v = 22*v + 9. Factor -v*l + l**o + 7*l + 5*l**2 + 2*l**3.
2*l*(l + 1)*(l + 2)
Let j(k) be the second derivative of k**6/80 + 9*k**5/160 - k**4/32 - 3*k**3/16 - 58*k. Factor j(i).
3*i*(i - 1)*(i + 1)*(i + 3)/8
Let a(v) be the third derivative of v**7/1365 - v**5/390 + 39*v**2. Solve a(t) = 0.
-1, 0, 1
Let a = -8710 + 8716. Wh