4 - 16/5*s - 2/5*s**2 + 2*s**3 = 0. What is s?
-1, 2
Let o(f) = -5*f**5 + 36*f**4 - 5*f**3 - 19*f**2 - 41*f + 17. Let h(q) = -q**5 + 6*q**4 - q**3 - 3*q**2 - 7*q + 3. Let g(i) = -34*h(i) + 6*o(i). Factor g(b).
4*b*(b - 1)*(b + 1)**2*(b + 2)
Let k(q) = -q - 6. Let l be k(-8). Solve 81/2*g**l + 39*g**3 + 6*g - 6 + 21/2*g**4 = 0.
-2, -1, 2/7
Let u(l) = l**3 - l**2 - 3*l - 4. Let c be u(4). Let r be 12/c*4/9. Solve -r*g - 1/6*g**2 + 1/3 = 0 for g.
-2, 1
Let i(d) be the third derivative of d**5/15 + d**4/3 + 2*d**3/3 - d**2. Factor i(z).
4*(z + 1)**2
Let d(n) be the third derivative of -1/120*n**5 + 0*n + 0 - 3/4*n**3 - 3*n**2 + 1/8*n**4. Solve d(p) = 0 for p.
3
Determine h so that 5*h**2 + 4 + 11 + 3*h + 21*h - 4*h = 0.
-3, -1
Solve 5*x + 2*x**3 + 12*x**2 + 7*x - 3*x**3 + 4*x**3 = 0.
-2, 0
Let g be 24/3 + -3 + 1. Suppose -3*d + g*d = 9. Determine w, given that -2*w**2 + 3 - 3*w**d - 3 + 3*w**5 + 2*w**4 = 0.
-1, -2/3, 0, 1
Let a(f) be the first derivative of f**4/3 - 1. Factor a(c).
4*c**3/3
Let n(t) be the first derivative of 2*t**3 - 9*t**2 + 27*t/2 + 8. Suppose n(r) = 0. What is r?
3/2
Suppose -2*v = -0*i - 5*i + 18, -2*v - 16 = -4*i. Let c(n) be the second derivative of 1/6*n**3 - 1/2*n**i + 0 - n + 1/12*n**4 - 1/20*n**5. Factor c(t).
-(t - 1)**2*(t + 1)
Let m(d) be the first derivative of 1/12*d**3 + 1/2*d + 3/8*d**2 - 1. Factor m(n).
(n + 1)*(n + 2)/4
Suppose 0*c = -3*c + 12. Factor 0*y**2 - 8*y + 6*y**2 + 6*y - c.
2*(y - 1)*(3*y + 2)
Let x(h) = 3*h**4 - 2*h**3 - 9*h**2 - 15*h - 1. Let i(q) = 3*q**4 - 3*q**3 - 9*q**2 - 15*q. Suppose -2*d + 12 = -4*d. Let l(t) = d*x(t) + 5*i(t). Factor l(j).
-3*(j - 2)*(j + 1)**3
Let w(j) be the second derivative of -j**4/66 - j**3/11 + 3*j. Factor w(t).
-2*t*(t + 3)/11
Let l(v) be the second derivative of 2*v + 1/30*v**4 + 0 + 4/5*v**2 + 4/15*v**3. Find g, given that l(g) = 0.
-2
Factor 0*l**2 + 0*l - 3/5*l**5 + 0 - 3/5*l**4 + 0*l**3.
-3*l**4*(l + 1)/5
Let a(j) be the first derivative of j**4/4 - j**3/3 - 4. Factor a(f).
f**2*(f - 1)
Let o be (-44)/(-462) - (-248)/42. Solve o*h - 7/2*h**3 + 3/2*h**4 + 4 - 3*h**2 = 0.
-1, -2/3, 2
Let c be 4*-1 + (-84)/(-20). Let 1/5 - 2/5*l**2 - 2/5*l**3 + 1/5*l + 1/5*l**5 + c*l**4 = 0. What is l?
-1, 1
Let o be (-27)/(-5) - (-6)/(-15). Let x(p) be the third derivative of -p**2 - 1/3*p**3 + 0*p - 1/8*p**4 - 1/60*p**o + 0. Factor x(i).
-(i + 1)*(i + 2)
Let d(p) be the second derivative of 0*p**2 + 0 + 2*p + 1/8*p**3 - 3/80*p**5 + 0*p**4. What is k in d(k) = 0?
-1, 0, 1
Let h(a) be the first derivative of -a**7/1050 + a**5/150 - a**3/30 - 3*a**2/2 + 3. Let m(j) be the second derivative of h(j). Solve m(z) = 0.
-1, 1
Let j = 25 - 20. Let b(x) be the third derivative of 0*x - 3*x**2 - 1/9*x**3 + 0 + 1/180*x**j + 1/72*x**4. Let b(h) = 0. Calculate h.
-2, 1
Let n(t) be the first derivative of -t**3/9 + t**2/6 - 12. Suppose n(p) = 0. Calculate p.
0, 1
Let f(z) be the first derivative of 7/22*z**4 - 2/11*z**2 + 0*z + 10/33*z**3 - 4. Find c, given that f(c) = 0.
-1, 0, 2/7
Let m = 8 + -4. Suppose i + 9 = m*i. What is t in t**i - 5*t**5 + 0*t**3 + 4*t**5 = 0?
-1, 0, 1
Let x be 4/(-3) - (-9 + 7). Factor -x*v + 0 - 2/3*v**3 - 4/3*v**2.
-2*v*(v + 1)**2/3
Let u(q) = 10*q**4 + 225*q**3 + 325*q**2 + 215*q + 35. Let a(r) = -r**4 - 25*r**3 - 36*r**2 - 24*r - 4. Let k(z) = 35*a(z) + 4*u(z). What is i in k(i) = 0?
-2, -1, 0
Let a(y) be the first derivative of 0*y**2 + 0*y**3 + 14/25*y**5 + 1/3*y**6 - 3 + 1/5*y**4 + 0*y. Factor a(v).
2*v**3*(v + 1)*(5*v + 2)/5
Solve -8/7*g + 20/7*g**3 + 0 - 16/7*g**4 + 4*g**2 = 0 for g.
-1, 0, 1/4, 2
Factor -16/7 - 2/7*h**3 + 12/7*h + 6/7*h**2.
-2*(h - 4)*(h - 1)*(h + 2)/7
Solve j**3 + 0*j**2 - 7*j + 2*j**3 + 19*j + 12*j**2 = 0 for j.
-2, 0
Let r(a) = 8*a**4 - 39*a**3 + 87*a**2 - 64*a - 9. Let l(j) = 2*j**4 - 10*j**3 + 22*j**2 - 16*j - 2. Let n(m) = -9*l(m) + 2*r(m). Factor n(p).
-2*p*(p - 2)**3
Suppose -4 = -3*z + 2. Factor -5*y**2 - y**2 + 2*y - 2*y**2 + z*y + 4*y**3.
4*y*(y - 1)**2
Let g be ((-30)/4 - -8)*(-1)/(-2). Factor -1/4*m**3 - g*m**2 + 1/4 + 1/4*m.
-(m - 1)*(m + 1)**2/4
Factor -22*u**2 + 21*u**2 + u + 2*u**3 - 2*u.
u*(u - 1)*(2*u + 1)
Let g(d) = d**4 - d**3 + d - 1. Let v(s) = 5*s**4 - 7*s**3 + s**2 + 7*s - 6. Let q(k) = 6*g(k) - v(k). Factor q(r).
r*(r - 1)*(r + 1)**2
Suppose 0*p = 2*p - 20. Suppose 13*a = p*a. Factor 0*f**2 + a*f**3 + 0 + 2/5*f**4 + 0*f.
2*f**4/5
Let r = 7 - 10. Let s be (-1 - r) + (-24)/15. Suppose 2/5*k + 2/5*k**2 - s - 2/5*k**3 = 0. Calculate k.
-1, 1
Let q(n) = -n + 4. Let h be q(2). Suppose -7*w + h*w = -10. Find j, given that 0 + j**2 + j**w - 2 = 0.
-1, 1
Let s = -2 + 3. Let v be (s/(-3))/((-2)/12). Solve 4*b**3 + v*b - 7*b**2 - b**3 + 7*b**4 - 5*b**5 + 0*b = 0.
-1, 0, 2/5, 1
Let c be ((-12)/64)/((-18)/40). Let p(b) be the first derivative of 0*b - 7/9*b**3 + c*b**4 + 1/3*b**2 - 1. Factor p(t).
t*(t - 1)*(5*t - 2)/3
Solve 0*b**3 - 954*b**2 + 956*b**2 - 6*b**3 = 0 for b.
0, 1/3
Let k(c) be the first derivative of c**6/30 - c**4/12 + 5*c + 2. Let g(h) be the first derivative of k(h). Suppose g(a) = 0. What is a?
-1, 0, 1
Let i(v) = -v**2 - 5*v - 2. Let r be i(-3). Let g = 12 - 7. Factor 0*o**g - 2*o**5 + 6*o**r + o**2 + o**2 - 6*o**3.
-2*o**2*(o - 1)**3
Let n(x) be the first derivative of x**4/24 - x**3/3 + x**2 - 3*x - 5. Let w(k) be the first derivative of n(k). Determine j, given that w(j) = 0.
2
Let x(f) be the third derivative of -f**8/168 + 2*f**7/105 - f**5/15 + f**4/12 - 22*f**2. Let x(t) = 0. Calculate t.
-1, 0, 1
Let j(o) be the first derivative of -o**4/4 - 5*o**3/3 + 5*o**2/2 - 4*o + 1. Let w be j(-6). Factor -1/3*s**5 - 1/3*s**4 + 1/3*s**3 + 0 + 0*s + 1/3*s**w.
-s**2*(s - 1)*(s + 1)**2/3
Let m = 682 + -682. Suppose 1/3*q + m + 0*q**2 - 1/3*q**3 = 0. Calculate q.
-1, 0, 1
Let s(o) be the third derivative of -o**5/20 - o**4/4 + 4*o**3 + 12*o**2 + o. Determine j so that s(j) = 0.
-4, 2
Let i(t) = -t**3 + t**2 + 2*t - 1. Let d be i(-2). Factor 1 - 8 - 1 + d*z + z - 2*z**2.
-2*(z - 2)**2
Let a(s) be the second derivative of 5/2*s**3 - 2*s + 0 - 25/16*s**4 - 3/2*s**2. Factor a(b).
-3*(5*b - 2)**2/4
Let i(z) be the second derivative of -1/8*z**3 + 1/4*z**2 + 3/80*z**5 + 2*z + 0 - 7/48*z**4 + 1/24*z**6. What is v in i(v) = 0?
-1, 2/5, 1
Let j(k) be the first derivative of -2*k**5/45 + k**4/9 - 2*k**3/27 + 1. Determine x so that j(x) = 0.
0, 1
Let r = 12 + -8. Determine h so that -4*h**3 + 3*h - r*h + 5*h**3 = 0.
-1, 0, 1
Let z(g) be the first derivative of g**3/3 - 3*g**2/2 - 4*g + 4. Let i be z(4). Let i*u**2 + 3/2*u + 1 - 1/2*u**3 = 0. What is u?
-1, 2
Let n(j) = -10*j**2 - 14. Let k(d) = d + 1. Let y(z) = -12*k(z) - n(z). Let y(x) = 0. Calculate x.
1/5, 1
Let n be (0 + 2)*(-3)/2. Let z be -3*n*4/54. Determine a, given that -a**2 + z*a + 1/3 = 0.
-1/3, 1
Factor -3*d + 4*d**2 + 12*d**3 - 4*d**4 - 16*d + 7*d.
-4*d*(d - 3)*(d - 1)*(d + 1)
Find l, given that -5/2*l**5 + 0*l + 35/2*l**2 - 15/2*l**4 - 10 + 5/2*l**3 = 0.
-2, -1, 1
Suppose 5*x = -y - 8, 2*x - 5*x = 5*y - 4. Factor -2*r + y*r - 4*r**5 + 20*r**2 + 12*r**4 - 12*r**3 - 16*r**2.
-4*r**2*(r - 1)**3
Let m(d) be the second derivative of -d**4/4 - 4*d**3 - 24*d**2 - 8*d. Solve m(q) = 0.
-4
Let i(n) be the first derivative of -n**5/240 - n**4/96 - 3*n**2/2 + 2. Let k(t) be the second derivative of i(t). What is f in k(f) = 0?
-1, 0
Suppose -10*q + 6*q = 0. Suppose -x = -2 - q, 5*x - 22 = -3*g. Factor 1/3*n**g - 1/3*n**2 + 0 - 1/3*n**3 + 0*n + 1/3*n**5.
n**2*(n - 1)*(n + 1)**2/3
Let o(p) = -p**3 - 5*p**2 - 3*p. Let r be o(-5). Factor 16*s**2 - 2 - 4 - 25*s**2 - r*s.
-3*(s + 1)*(3*s + 2)
Let g(q) be the first derivative of -2*q**6/3 - 16*q**5/5 - 6*q**4 - 16*q**3/3 - 2*q**2 - 3. Factor g(v).
-4*v*(v + 1)**4
Let k = -1 + 2. Let f = k - -3. Solve -4 - 3*v**2 + 0*v**2 - 2*v**2 - f*v + 4*v**2 = 0.
-2
Let m be ((-4)/34)/((-5)/10). Let t = m + 22/51. Suppose -2/3*f**2 - t*f + 2/3*f**4 + 0 + 2/3*f**3 = 0. What is f?
-1, 0, 1
Solve 88/5*t + 154/5*t**3 + 64/5*t**4 + 172/5*t**2 + 16/5 + 2*t**5 = 0 for t.
-2, -1, -2/5
Let m(d) be the first derivative of -d**5/30 - d**4/24 + d**3/6 + 5*d**2/12 + d/3 + 8. Solve m(l) = 0 for l.
-1, 2
What is b in -11 - 11*b + 2 - 9*b**2 - 4*b + 3*b**3 + 3 + 3*b**4 = 0?
-1, 2
What is f in 5*f**2 - 2*f + 4*f + 20 - 27*f = 0?
1, 4
Let j(t) = 18*t**4 + 35