5*i**2 - 5*i + 1. Let u be z(-4). Suppose -6 - 4 = -5*k. Determine o so that -2*o**5 - 2*o**4 + 4*o**k - 2*o - 5 + 0*o**u + 3 + 4*o**3 = 0.
-1, 1
Let r(p) be the second derivative of -p**6/5 + 2*p**5/3 - 13*p**4/18 + 2*p**3/9 + 23*p. Factor r(y).
-2*y*(y - 1)**2*(9*y - 2)/3
Let y(q) be the third derivative of 0*q + 2/21*q**3 + 0 + 1/210*q**5 + 1/28*q**4 + 6*q**2. Factor y(r).
2*(r + 1)*(r + 2)/7
Find n, given that -13*n**2 - 2*n**2 - 25*n**4 + 5*n**5 + 2*n**3 + 33*n**3 = 0.
0, 1, 3
Let u(y) be the third derivative of 2*y**7/105 + y**6/15 + y**5/15 - y**2. What is q in u(q) = 0?
-1, 0
Let i = 7 + -6. Let t(a) be the first derivative of -1/5*a**5 - 1/8*a**4 + 0*a**2 + 0*a**3 - 1/12*a**6 + i + 0*a. Find s, given that t(s) = 0.
-1, 0
Let y(h) = -36*h**2 - 50*h - 8. Let g = 25 + -14. Let r(a) = 109*a**2 + 149*a + 25. Let q(k) = g*y(k) + 4*r(k). Factor q(v).
2*(4*v + 3)*(5*v + 2)
Suppose 1 + 3*h - 6*h**2 - 6*h**3 + 3*h**5 - 6*h**4 + 2 + 9*h**4 = 0. What is h?
-1, 1
Let q(x) = x**2 + 5*x - 104. Let u be q(-13). Find s, given that 0*s**2 + 1/2*s**3 + u*s**4 + 0 - 1/4*s**5 - 1/4*s = 0.
-1, 0, 1
Factor 0*u**2 + 0*u + 0 + 1/2*u**3 + 1/2*u**5 + u**4.
u**3*(u + 1)**2/2
Let d = -219 + 1099/5. What is t in 0 - d*t - 2/5*t**2 = 0?
-2, 0
Let m(v) be the third derivative of -v**7/42 + 11*v**6/24 - 7*v**5/2 + 40*v**4/3 - 80*v**3/3 + 11*v**2. Factor m(u).
-5*(u - 4)**2*(u - 2)*(u - 1)
Suppose 28*v - 25*v - 9 = 0. Factor 0*h**v - 2/11 + 0*h - 2/11*h**4 + 4/11*h**2.
-2*(h - 1)**2*(h + 1)**2/11
Let b(t) be the second derivative of -5*t**4/12 - 5*t**3/6 + 15*t**2 - 2*t. Determine i, given that b(i) = 0.
-3, 2
Let o(c) be the first derivative of 4 + 0*c**6 + 1/3*c**4 + c**3 + 1/21*c**7 - 2*c**2 - 2/5*c**5 - 4*c. Let n(g) be the first derivative of o(g). Factor n(w).
2*(w - 1)**3*(w + 1)*(w + 2)
Let j(i) be the third derivative of i**5/180 - i**4/18 + i**3/6 - 21*i**2. Factor j(m).
(m - 3)*(m - 1)/3
Let i = -1 - -1. Suppose -m - 3*m = i. Suppose 4*a**4 + m*a**4 - 3*a**3 + 0*a**3 - a**2 = 0. Calculate a.
-1/4, 0, 1
Factor -3/4*r + 1/2 - 5/4*r**2.
-(r + 1)*(5*r - 2)/4
Let v be -11 + 5 + (4 - -2). Factor -2/3*x**4 + v + 0*x - 8/3*x**2 + 8/3*x**3.
-2*x**2*(x - 2)**2/3
Let b = 24 + -22. Let u(g) be the second derivative of 3/5*g**b + 1/2*g**3 - 3/20*g**4 - 2*g + 0. Suppose u(w) = 0. Calculate w.
-1/3, 2
Let t = 3 - -5. Let z(r) = 3*r - 6. Let p be z(t). Factor -15*y + p*y**4 - 30*y**3 + 30*y**2 - y**5 - 3*y**4 + 3 - 2*y**5.
-3*(y - 1)**5
Let m = 49 - 45. Let g(u) be the second derivative of 0 - 1/3*u**2 - 1/9*u**3 + 1/9*u**m - 2*u. Determine a so that g(a) = 0.
-1/2, 1
Let s = -9 - -9. Let c(d) be the third derivative of -9/70*d**7 - 1/24*d**4 + s*d**3 + 2*d**2 + 0*d + 0 - 9/40*d**6 - 3/20*d**5. Factor c(g).
-g*(3*g + 1)**3
Let y be (39/(-35) - -1)/((-4)/40). Factor -2/7*n**2 - y*n - 8/7.
-2*(n + 2)**2/7
Factor -15/2*w**4 + 6*w**2 + 3*w**3 + 0*w + 0 + 9/4*w**5.
3*w**2*(w - 2)**2*(3*w + 2)/4
Let h(l) be the second derivative of l**5/10 - 5*l**4/9 + l**3/9 + 2*l**2 + 16*l. Solve h(p) = 0.
-2/3, 1, 3
Let x(m) = 4*m**2 + 12*m - 4. Let h(q) = q**2 + 2*q - 1. Let j(v) = 6*h(v) - x(v). Determine b, given that j(b) = 0.
-1, 1
Factor 33*f**2 + 25 - 22*f**2 + f**3 + 32*f + 3*f.
(f + 1)*(f + 5)**2
Let a(t) be the second derivative of -t**5/20 + 4*t**4/9 + 13*t**3/18 - t**2 + 3*t + 10. Factor a(j).
-(j - 6)*(j + 1)*(3*j - 1)/3
Let u(w) = -w**2 + 2*w**2 + 0*w**2 - 4*w. Let i be u(4). Factor -1/4*c**2 + 1/4*c**3 + 0*c + i.
c**2*(c - 1)/4
Let u(p) = -p**2 - 18*p - 45. Let m be u(-15). Factor 4/5*c**3 + m*c**2 + 0*c**4 - 2/5*c + 0 - 2/5*c**5.
-2*c*(c - 1)**2*(c + 1)**2/5
Let o(z) = -z**2 + z + 3. Let x be o(0). Factor -2*q**2 + 4*q**2 - 2*q**2 - 4*q**4 + 2*q**x + 2*q**5.
2*q**3*(q - 1)**2
Find w, given that w + 8*w**2 + 12*w**3 - 4 - 4*w - 4*w**4 - 4*w**5 - w - 4*w**3 = 0.
-1, 1
Let o(m) be the second derivative of -m**7/11340 - m**6/810 - m**5/135 - m**4/3 - 5*m. Let n(d) be the third derivative of o(d). Factor n(y).
-2*(y + 2)**2/9
Let q be ((-3)/(-4))/((-6)/(-4)). Let 1/2*j**2 - q*j + 0 = 0. What is j?
0, 1
Suppose -12 = -4*b - 0*b. Let a(j) be the first derivative of -b + 2/15*j**3 + 0*j**4 + 0*j + 0*j**2 - 2/25*j**5. Find d such that a(d) = 0.
-1, 0, 1
Suppose -5*a - y + 13 = 0, -11 = -4*a + y - 2*y. Determine v so that -2/5*v**5 - 2/5 - 2/5*v + 4/5*v**3 - 2/5*v**4 + 4/5*v**a = 0.
-1, 1
Factor -4*s**2 + 10*s**3 - 6*s**3 - 4*s + 0*s + 4*s**4.
4*s*(s - 1)*(s + 1)**2
Let q be 12/9 + (-460)/336. Let r = 23/140 - q. What is o in r*o + 0 - 1/5*o**2 = 0?
0, 1
Let i be 4/22 + 30/(-165). Determine s so that i + 4/5*s**3 + 8/5*s**4 - 8/5*s**2 - 6/5*s**5 + 2/5*s = 0.
-1, 0, 1/3, 1
Suppose -5*b + 0*u - 10 = -5*u, -4*u - 4 = 0. Let p = b - -5. Let 0*o + 2/7*o**p + 2/7*o**4 + 0 + 4/7*o**3 = 0. What is o?
-1, 0
Let r(p) = 15*p**2 + 25*p - 20. Let a(m) = -m**2 - m. Let d(b) = -10*a(b) - r(b). Factor d(h).
-5*(h - 1)*(h + 4)
Suppose -t + 0 = m - 3, 4*t - 8 = -2*m. Factor -g**2 + 5 - 4*g - g**2 + 4*g**m - 3.
2*(g - 1)**2
Let w = -30 - -44. Determine c, given that 0 + 0*c + 0*c**2 + 49/2*c**5 - w*c**4 + 2*c**3 = 0.
0, 2/7
Let f be (((-10)/(-5))/(-2 - 6))/(-1). Factor -1/2 - 3/4*r - f*r**2.
-(r + 1)*(r + 2)/4
Let y(z) be the first derivative of -2*z**5/25 - 3*z**4/10 - 2*z**3/5 - z**2/5 - 36. Determine c so that y(c) = 0.
-1, 0
Let x(u) be the first derivative of u**6/360 + u**5/120 - u**4/12 - u**3 - 4. Let s(o) be the third derivative of x(o). Suppose s(f) = 0. Calculate f.
-2, 1
Let n(p) = -p**5 + 19*p**4 - 35*p**3 + p**2. Let h(z) = -z**5 + 13*z**4 - 23*z**3 + z**2. Let d(g) = 8*h(g) - 5*n(g). Suppose d(l) = 0. What is l?
0, 1
Let y(b) be the second derivative of b + 0*b**3 + 0*b**4 + 1/14*b**7 - 3/20*b**5 + 0*b**6 + 0*b**2 + 0. Find c, given that y(c) = 0.
-1, 0, 1
Suppose 0 = -5*d + 17 + 8. Let c(a) = 2*a - 7. Let u be c(d). Let 0 + u*j**2 + j**4 - 3*j**3 + 0 - j = 0. What is j?
0, 1
Let c = 149 - 149. Let r(f) be the second derivative of c + 1/30*f**4 + 0*f**2 + 0*f**3 + 1/25*f**5 - 2*f + 1/75*f**6. Factor r(q).
2*q**2*(q + 1)**2/5
Let s(z) be the second derivative of 2*z**7/35 - z**6/40 - z**5/5 + z**4/8 - z**2 - 5*z. Let u(j) be the first derivative of s(j). Factor u(b).
3*b*(b - 1)*(b + 1)*(4*b - 1)
Let f be (-2)/(-7) + (-56)/(-147). Determine x, given that 2/3*x - 2/3 - f*x**3 + 2/3*x**2 = 0.
-1, 1
Let u(b) = -6*b**2 - 6*b - 3. Let n(j) = -7*j**2 - 7*j - 4. Let l(y) = -3*n(y) + 4*u(y). Factor l(w).
-3*w*(w + 1)
Let q(w) be the second derivative of w**9/3024 - w**7/420 + w**5/120 + w**3/6 + w. Let s(x) be the second derivative of q(x). Factor s(a).
a*(a - 1)**2*(a + 1)**2
Suppose 20 = 6*o - o. Let l(a) be the first derivative of -1 + a**3 + 1/4*a**o + 3/2*a**2 + a. Let l(p) = 0. Calculate p.
-1
Find n, given that -2/13*n**5 + 0 + 0*n**2 - 4/13*n**3 + 0*n - 6/13*n**4 = 0.
-2, -1, 0
Let x be ((-24)/60)/(7/(-5)). Find v, given that 0 + 0*v + x*v**3 + 2/7*v**2 = 0.
-1, 0
Let w(k) be the second derivative of k**7/98 - k**6/70 - 3*k**5/70 + 8*k. Factor w(b).
3*b**3*(b - 2)*(b + 1)/7
Let n be ((-48)/416)/(3/(-20)). Suppose n*z**2 + 2/13*z**3 + 6/13 + 14/13*z = 0. What is z?
-3, -1
Suppose 65 = -3*b - 2*b + 2*h, 3*h - 15 = 0. Let i = b - -15. Factor 1 + 3*p**5 + 1 + 2*p**i - 4*p**3 + 2*p - p**5 - 4*p**2.
2*(p - 1)**2*(p + 1)**3
Suppose 0 = 4*r - 0 - 4. Let p(c) be the first derivative of -r - 1/18*c**6 - 1/15*c**5 + 0*c**3 + 0*c**2 + 0*c**4 + 0*c. Factor p(f).
-f**4*(f + 1)/3
Suppose h = 2*h - 3. Let y = h + -1. Factor c - y*c**2 + 4*c**2 + 2*c**3 - c**3.
c*(c + 1)**2
Let q be (-8)/(-3)*(-6)/(-4). Let a be (-6)/q*(-10)/(-15). Let r(c) = c**2. Let f(t) = -t**3 - 2*t**2 - 3*t - 1. Let j(n) = a*r(n) + f(n). Factor j(s).
-(s + 1)**3
Let l(o) be the second derivative of -1/2*o**2 + 0*o**3 + 0 - 2*o - 1/300*o**6 + 0*o**4 + 1/150*o**5. Let j(v) be the first derivative of l(v). Factor j(p).
-2*p**2*(p - 1)/5
Let i(p) be the third derivative of p**6/50 - p**5/100 - p**4/10 + p**3/10 - 16*p**2. What is a in i(a) = 0?
-1, 1/4, 1
Let j = -38 + 65. Suppose 4*q - 3*q + 5*w = j, 5*q - 15 = -w. Factor -4/3*g + 8/3*g**3 + 2/3*g**2 + 0 - q*g**4.
-2*g*(g - 1)**2*(3*g + 2)/3
Let l(b) be the third derivative of 0 + 1/50*b**5 + 0*b + 4/15*b**3 - 2/15*b**4 + 4*b**2. Factor l(a).
2*(a - 2)*(3*a - 2)/5
Let m(b) = -11*b**3