 0*b + 0*b**2 + 0 + 0*b**3 - p*b**5 = 0 for b.
-1, 0
Let j(g) be the first derivative of 12/5*g - 3 + 3/20*g**4 + 12/5*g**2 + g**3. Let j(n) = 0. What is n?
-2, -1
Suppose -j = v - 6, -j = 4*v - 2 - 13. Let f(p) be the third derivative of -2/105*p**7 + 1/60*p**6 + 0 + 1/30*p**5 - p**2 + 0*p + 0*p**v + 0*p**4. Factor f(l).
-2*l**2*(l - 1)*(2*l + 1)
Let p(o) = -o + 4. Let k be p(3). Suppose -17 = -4*i - k. Factor -l**4 + 3*l**i + 0*l**4 - 4*l**2 + 2.
2*(l - 1)**2*(l + 1)**2
Let f(u) be the third derivative of -u**5/20 - 5*u**4/8 - 10*u**2. Factor f(q).
-3*q*(q + 5)
Suppose 3*r - 10 = x, 0 = -4*r + x - 3*x + 20. Suppose -g + 2*g = 5. Determine m, given that 7/2*m**3 - 1/4 - 1/4*m + 11/4*m**r + 3/4*m**g + 3/2*m**2 = 0.
-1, 1/3
Suppose 3*q = -2*q + 3*l + 16, -3*q = 3*l. Factor -8*k**3 + 4*k + 2 + k**3 + 2 - 4*k**q + 3*k**3.
-4*(k - 1)*(k + 1)**2
Let d(m) be the second derivative of 3*m**5/20 + m**4/4 - m**3/2 - 3*m**2/2 - 12*m. Factor d(p).
3*(p - 1)*(p + 1)**2
Let j(w) be the second derivative of -2*w**6/15 - 2*w**5/5 - w**4/3 + 21*w. Suppose j(n) = 0. What is n?
-1, 0
Suppose -12 = 4*t, -8 - 4 = -3*l + t. Solve -4 + 3*a**l + a**2 + 2*a**3 + 3*a**2 - 2*a - 3*a**3 = 0.
-2, -1, 1
Let s be (-3 - -1)/(4/(-10)). Suppose s*i + 3*h = 3, 0 = -3*i - 4*h + h - 3. Suppose -2/3*l**i + 2/3*l**4 + 0*l + 1/6*l**2 + 0 = 0. What is l?
0, 1/2
Suppose -4*p - 9 = -3*i, p + 7 + 2 = 3*i. Let f(y) be the third derivative of -2*y**2 + p + 1/150*y**5 + 0*y**4 - 1/15*y**3 + 0*y. Factor f(n).
2*(n - 1)*(n + 1)/5
Find h such that h**5 - 10*h**4 + 29*h**4 - 11*h**4 - 3*h**5 = 0.
0, 4
Let f(o) be the second derivative of 2*o + 1/6*o**3 + 0 - 1/4*o**2 - 1/24*o**4. Solve f(r) = 0.
1
Solve -8 + 90*y**2 + 27*y**4 + 12 - 1 + 108*y**3 + 28*y = 0 for y.
-3, -1/3
Suppose 4*f + 18 = -2. Let g = f - -5. Determine o, given that g - 2/3*o + 2/3*o**2 = 0.
0, 1
Let 14/3*b**3 - 110/3*b**2 - 8/3*b**5 + 20/3 + 14*b**4 - 18*b = 0. Calculate b.
-1, 1/4, 2, 5
Suppose 0 = -r - 3*r + 16. Let o be (5 + -1)*2/r. Find n, given that -o*n**2 + 4/3*n + 4/3*n**3 - 1/3 - 1/3*n**4 = 0.
1
Suppose 0*t = -3*t - 6. Let m be 3 - (0/t - -1). Factor 4/3 - 2/3*o - 2/3*o**m.
-2*(o - 1)*(o + 2)/3
Let d(p) be the third derivative of p**7/840 - p**6/240 + p**4/48 - p**3/24 + p**2 + 19*p. Factor d(h).
(h - 1)**3*(h + 1)/4
Let x be -1 - (-4 + 2 + -1). Find w such that w**2 + w - x*w**2 + w = 0.
0, 2
Suppose 2*o + u - 9 + 1 = 0, 10 = 3*o + u. Suppose -o*v = 3*v. Factor v*z + z**3 + 2/5*z**2 + 0.
z**2*(5*z + 2)/5
Suppose -u + 0*u = -3. Let g(y) be the first derivative of 1/4*y**2 + 0*y + 1/6*y**u + 2. Factor g(h).
h*(h + 1)/2
Let w(x) = -9*x**3 + 9*x**2 - 15*x - 3. Let t(f) = 8*f**3 - 9*f**2 + 14*f + 2. Let l(r) = -6*t(r) - 5*w(r). Determine u so that l(u) = 0.
1
Let w be -3 - 6*(1 + 7/(-4)). Solve 0*g + 1/2*g**5 + 0*g**4 - g**2 + 0 - w*g**3 = 0.
-1, 0, 2
Let g(z) be the third derivative of -z**8/13440 + z**6/480 + z**5/120 - z**4/8 + 2*z**2. Let h(l) be the second derivative of g(l). Factor h(y).
-(y - 2)*(y + 1)**2/2
Let s(a) be the first derivative of 1/40*a**6 - 1/8*a**4 + 0*a - 1/2*a**3 + 2*a**2 - 3 + 1/20*a**5. Let d(j) be the second derivative of s(j). Factor d(v).
3*(v - 1)*(v + 1)**2
Let y(d) be the first derivative of -3*d**6/4 - 39*d**5/20 - 5*d**4/4 + d**3/2 + 3*d**2/4 + d/4 - 8. Determine m, given that y(m) = 0.
-1, -1/3, 1/2
Factor -2 - 2*s**2 + 4*s + 5 - 2 - 4*s**3 + 1.
-2*(s - 1)*(s + 1)*(2*s + 1)
Let c(b) be the second derivative of -3*b**5/80 - b**4/8 + b**3/8 + 3*b**2/4 - 8*b. Suppose c(a) = 0. What is a?
-2, -1, 1
Let v(t) = 6*t**2 + 7*t + 36. Let x(u) = u**2 - u. Let i(h) = -2*v(h) + 10*x(h). Factor i(s).
-2*(s + 6)**2
Suppose -d = k, d - 4*d - 2 = 4*k. Solve -5*w**3 + 13*w**3 - w**3 - d*w**2 = 0.
0, 2/7
Suppose k + 4*k + 15 = 0, -5 = -4*n - k. Let z(l) be the first derivative of -2/3*l**3 + 1 + 0*l + l**n. Find j such that z(j) = 0.
0, 1
Let h = 13 + -11. Factor 0*i**h + 1/2*i**3 + 0 - 1/2*i**4 + 0*i.
-i**3*(i - 1)/2
Determine t so that 25*t + 7 - 25*t**3 + 3 - 31*t**2 - 18*t**2 + 4*t**2 + 35*t**4 = 0.
-1, -2/7, 1
Let a(d) be the first derivative of 2/3*d**3 - 2 + 1/2*d**4 + 0*d**2 + 0*d. Solve a(u) = 0.
-1, 0
Let a = 316/3 - 104. Let a*g - 2/3 - 2/3*g**2 = 0. What is g?
1
Suppose 4*u - 17 - 4*u**2 + 17 = 0. What is u?
0, 1
Let l(p) be the third derivative of p**6/480 + p**5/80 + p**4/32 + p**3/6 - 3*p**2. Let s(h) be the first derivative of l(h). Solve s(x) = 0 for x.
-1
Let m = 63 - 43. Find s, given that -m*s**2 + 6*s**3 + 10*s**3 + 4*s - 5*s**3 + 5*s**3 = 0.
0, 1/4, 1
Let p(h) be the second derivative of h**8/4200 - h**7/700 + h**6/300 - h**5/300 - h**3 - 6*h. Let a(j) be the second derivative of p(j). Factor a(o).
2*o*(o - 1)**3/5
Let z(x) be the first derivative of x**8/672 - x**7/210 + x**6/240 + x**2/2 - 2. Let h(s) be the second derivative of z(s). Factor h(q).
q**3*(q - 1)**2/2
Factor 0 - 1/2*s**3 + 1/2*s**4 - s**2 + 0*s.
s**2*(s - 2)*(s + 1)/2
Let i(k) be the second derivative of 3*k**5/20 - k**4/2 + k**3/2 + k. Factor i(d).
3*d*(d - 1)**2
Factor -2/3*s - 2*s**3 + 2/3*s**4 + 0 + 2*s**2.
2*s*(s - 1)**3/3
Solve 0*o + 0 + 0*o**2 + 2/5*o**4 + 0*o**3 = 0.
0
Let j(f) be the first derivative of -3/8*f**4 - 3*f + 4 + 3/4*f**2 + f**3. Let j(z) = 0. What is z?
-1, 1, 2
Suppose -5*a + 3 = -7. Let m(v) be the third derivative of 0 + 0*v**3 + 1/42*v**5 - 1/42*v**4 - a*v**2 + 0*v - 1/140*v**6. Factor m(y).
-2*y*(y - 1)*(3*y - 2)/7
Let d(v) = -v - 3. Let g be d(-5). Factor -5*f + 1 + 5*f + 1 - g*f**2.
-2*(f - 1)*(f + 1)
Let v(y) be the first derivative of 3*y**4/4 + 4*y**3 + 9*y**2/2 + 7. Factor v(k).
3*k*(k + 1)*(k + 3)
Let l(f) be the second derivative of -2*f**5/5 - 7*f**4/6 + 14*f**3/3 - 3*f**2 - 11*f. What is b in l(b) = 0?
-3, 1/4, 1
Factor 5*g**2 - 11 - 9*g**2 - 6*g + 7 - 2*g.
-4*(g + 1)**2
Let s be (-72)/(-35) + -4*5/10. Let v(w) be the first derivative of 0*w**4 + 0*w**2 + 0*w - 2 + 2/21*w**3 - s*w**5. Suppose v(t) = 0. What is t?
-1, 0, 1
Let t(m) be the third derivative of m**5/15 + 11*m**4/3 + 242*m**3/3 - 5*m**2 - 4*m. Factor t(x).
4*(x + 11)**2
Let u(n) be the first derivative of -n**4/14 + 20*n**3/21 - 4*n**2 + 48*n/7 + 50. Factor u(c).
-2*(c - 6)*(c - 2)**2/7
Let q(r) = 9*r**2 - 2*r - 1. Let v be q(2). Suppose -2*u**3 + 27*u**5 - 18*u**3 - v*u**5 - 1 + 10*u**2 + 15*u**4 = 0. What is u?
-1/4, 1
Let i = 4 - 6. Let s(p) = p**4 - 11*p**2. Let f(v) = -4*v**2 + v**2 + v**2. Let d(m) = i*s(m) + 10*f(m). Determine b, given that d(b) = 0.
-1, 0, 1
Factor 2/7*s**4 - 20/7*s + 20/7*s**3 + 48/7*s**2 - 50/7.
2*(s - 1)*(s + 1)*(s + 5)**2/7
Let d(v) be the third derivative of 1/420*v**6 + 0*v - 1/84*v**4 - 1/210*v**5 + 3*v**2 + 0 + 1/21*v**3. Find h such that d(h) = 0.
-1, 1
Suppose l = 4 - 1. Let r(t) be the second derivative of 1/2*t**2 - t - 1/3*t**l + 0 - 1/30*t**6 + 0*t**4 + 1/10*t**5. Find z such that r(z) = 0.
-1, 1
Let y(d) be the third derivative of 0 + 0*d**3 - 8*d**2 + 0*d + 4/15*d**5 - 1/9*d**4 - 7/36*d**6. Factor y(n).
-2*n*(5*n - 2)*(7*n - 2)/3
Let i(v) = -v**2 + v + 2. Let r be i(0). Determine z, given that -5*z**5 + 6*z**4 + 3*z**2 + r*z**5 - 9*z**4 + 3*z**3 = 0.
-1, 0, 1
Let g(z) = z**3 - 3*z**2 - 5*z + 3. Let m(q) = -q. Let a(s) = g(s) - 4*m(s). Factor a(f).
(f - 3)*(f - 1)*(f + 1)
Let s be (-14 + 12)/(20/(-1)). Let g(f) be the second derivative of 0 + 0*f**6 + 0*f**4 - 1/42*f**7 + s*f**5 - 1/6*f**3 + f + 0*f**2. Factor g(v).
-v*(v - 1)**2*(v + 1)**2
Let t be (-48)/(-31) + -3 + 1. Let c = 188/279 + t. Suppose 0*a + 4/9*a**3 - c*a**2 + 0 - 2/9*a**4 = 0. Calculate a.
0, 1
Suppose 4*v + 2 = 18, -5*l = -4*v + 1. Factor -3*q**4 - q**3 - 4 + q**5 + 0*q**5 + 3 + 7*q**2 - l.
(q - 2)**2*(q - 1)*(q + 1)**2
Suppose h - 2*h = -2. Solve i + 26*i**h - 25*i**2 - 2*i = 0.
0, 1
Let a(t) = -11*t**2 + 53*t + 12. Let f be a(5). Factor -1/2*w**f + 0 - 1/4*w.
-w*(2*w + 1)/4
Let f(x) be the first derivative of -x**6/720 - x**5/90 - 5*x**4/144 - x**3/18 - 3*x**2 + 7. Let q(p) be the second derivative of f(p). Factor q(y).
-(y + 1)**2*(y + 2)/6
Let q(y) be the first derivative of y**4/8 - 3*y**2/4 - y + 10. Let q(b) = 0. Calculate b.
-1, 2
Let r(n) be the first derivative of -n**6/240 + n**5/120 + n**4/48 - n**3/12 - 7*n**2/2 - 1. Let g(f) be the second derivative of r(f). Factor g(c).
-(c - 1)**2*(c + 1)/2