*w**5 + w + 1/105*w**6 + v. Find o, given that y(o) = 0.
-1, 1
Let v(m) be the second derivative of m**6/25 + 2*m**5/25 - 2*m**4/15 - 3*m. Find c such that v(c) = 0.
-2, 0, 2/3
Let p(h) be the second derivative of h**7/189 + h**6/135 + 3*h. Find m such that p(m) = 0.
-1, 0
Let g be 2/(-5) + (435/50)/3. Factor -v**3 - 2*v**4 - 1/4*v + g*v**2 - 1/2 + 5/4*v**5.
(v - 1)**3*(v + 1)*(5*v + 2)/4
Let h(l) = -21*l**4 + 18*l**3 + 11*l**2 - 2*l + 6. Let j(k) = 64*k**4 - 55*k**3 - 32*k**2 + 6*k - 17. Let f(c) = -17*h(c) - 6*j(c). Factor f(y).
-y*(y - 1)*(3*y + 1)*(9*y - 2)
Let k(x) be the second derivative of -x**5/60 - x**4/3 + 3*x**3/2 - 7*x**2/3 - 5*x + 3. Factor k(m).
-(m - 1)**2*(m + 14)/3
Let p be 5*(-27)/(-36) + 2/8. Let s(b) be the first derivative of 0*b + 0*b**5 + 0*b**3 - 1 - 1/10*b**p + 1/30*b**6 + 1/10*b**2. Factor s(n).
n*(n - 1)**2*(n + 1)**2/5
Let c(f) be the second derivative of -f**4/12 + 3*f. Let h(b) = -6*b**2 + 2*b + 4. Let z(i) = 4*c(i) - h(i). Factor z(a).
2*(a - 2)*(a + 1)
Let n be (8 - 10)/(4/(-6)). What is f in 7*f**3 + f - 5*f**3 - n*f = 0?
-1, 0, 1
Let h(d) be the first derivative of 0*d + 3/2*d**2 + 1/3*d**3 + 3. What is k in h(k) = 0?
-3, 0
Let c be ((-4)/10)/(31/(-5) + 5). Factor 5/6*m**3 + 1/2*m**2 + c*m**4 - 1/6 - 1/6*m.
(m + 1)**3*(2*m - 1)/6
Let c = 129/476 - -1/68. Factor -c*z**5 + 0 + 0*z**2 + 0*z + 0*z**3 - 2/7*z**4.
-2*z**4*(z + 1)/7
Let d(m) be the second derivative of 0*m**4 + 0*m**2 - 1/40*m**5 + 1/12*m**3 + 0 - 5*m. Find p, given that d(p) = 0.
-1, 0, 1
Let c(h) be the first derivative of 3*h**5/100 + h**4/5 + 2*h**3/5 + 5*h - 3. Let o(r) be the first derivative of c(r). Determine y so that o(y) = 0.
-2, 0
Let x(u) = u**2 - 5*u + 2. Let r = -11 + 16. Let c be x(r). What is s in 8*s - 9*s - s**4 + 0*s**2 + s**3 - 2 + 3*s**c = 0?
-1, 1, 2
Factor -2*t**4 + 0*t + 0 + 1/2*t**2 - 1/4*t**3 - 5/4*t**5.
-t**2*(t + 1)**2*(5*t - 2)/4
Let t(o) be the third derivative of o**8/30240 - o**7/11340 + o**4/8 - 3*o**2. Let q(l) be the second derivative of t(l). Factor q(b).
2*b**2*(b - 1)/9
Let i(r) = 2*r**3 + r**2 - 2*r + 1. Let a = -4 + 5. Let m be i(a). Factor -s**2 - 2 + 2*s**2 + 0*s**2 + s**m.
2*(s - 1)*(s + 1)
Suppose 9 = 2*z + 5. Let a(o) be the second derivative of 2*o - 7/6*o**4 + 3*o**3 - z*o**2 + 0. Let a(b) = 0. Calculate b.
2/7, 1
Let -3/5*x + 3/5*x**2 - 1/5*x**3 + 1/5 = 0. What is x?
1
Let f(r) = r**3 + 4*r**2 - 5*r + 2. Suppose 2*g + 16 = 6. Let t be f(g). Solve -2/3 - 2/3*y**t + 4/3*y = 0 for y.
1
Suppose 10 + 0 = 5*v. Find f, given that -207/2*f**v - 6 - 75/2*f**4 + 105*f**3 + 42*f = 0.
2/5, 1
What is h in 0*h + 4/9*h**2 - 2/9*h**4 + 2/9*h**3 + 0 = 0?
-1, 0, 2
Let f(t) be the second derivative of -2/15*t**3 + 0 + t + 0*t**2 - 1/6*t**4. Solve f(h) = 0 for h.
-2/5, 0
Let z be 2 - (-21)/(-6)*4. Let b = z - -17. Factor 0*m**3 - 2/5*m**2 + 2/5*m**4 + 0 - 1/5*m**b + 1/5*m.
-m*(m - 1)**3*(m + 1)/5
Let r(b) be the third derivative of b**6/60 - b**5/15 + b**4/12 - 23*b**2. Factor r(o).
2*o*(o - 1)**2
Let d be ((-72)/(-162))/(2/3). Factor -2/3*f**5 + 0*f + d*f**4 + 0*f**2 + 0 + 0*f**3.
-2*f**4*(f - 1)/3
Let z = -2 + 7. Let y(a) = -a**3 + 4*a**2 + 6*a - 2. Let q be y(z). Find x, given that 3 - x - q + 2 - x**2 = 0.
-2, 1
Suppose 4*y - h + 2 = 0, -2 = -3*y - 2*y - h. Let a(w) be the first derivative of 2/15*w**5 + y*w - 2 + 1/3*w**4 + 2/9*w**3 + 0*w**2. Factor a(q).
2*q**2*(q + 1)**2/3
Let m(o) be the third derivative of o**6/30 - 16*o**2. Factor m(s).
4*s**3
Let j = -1166/3 - -389. Factor -2/3*s - 1/3*s**2 - j.
-(s + 1)**2/3
Let g(x) be the second derivative of x**6/10 + x**5/5 + x**4/12 - 16*x. Factor g(l).
l**2*(l + 1)*(3*l + 1)
Let c(b) be the first derivative of b**4/10 + 2*b**3/3 + 7*b**2/5 + 6*b/5 - 6. Find v, given that c(v) = 0.
-3, -1
Solve 2/3*y + 5/6*y**3 + 2*y**2 + 0 = 0.
-2, -2/5, 0
Let k(o) be the second derivative of -o**7/14 + 3*o**5/20 - 49*o. Factor k(h).
-3*h**3*(h - 1)*(h + 1)
Let p = 13 - 9. Factor 0*w + 0*w - w - 1 - 2*w**3 + 3*w + w**p.
(w - 1)**3*(w + 1)
Suppose 5*l - 5 = 0, 0 = -3*v + 2*v + l. Let q(d) be the first derivative of -2/9*d**3 - d**2 + v - 4/3*d. What is s in q(s) = 0?
-2, -1
Let d(i) = -i**2 - 12*i + 1. Let k(t) be the second derivative of -t**4/6 - 13*t**3/6 + t**2/2 - 6*t. Let f(j) = -7*d(j) + 6*k(j). Let f(u) = 0. Calculate u.
1/5, 1
Suppose 2*c + 2*o = 42 - 14, 4*c = 4*o + 40. Suppose -6*t + 2*t = -c. Determine k, given that -k - 3 + 2 - k**t - 3*k**2 - 2*k = 0.
-1
Let y(z) be the first derivative of z**4/7 + 20*z**3/21 + 6*z**2/7 - 36*z/7 + 37. What is i in y(i) = 0?
-3, 1
Let g(r) be the second derivative of r**7/14 + 3*r**6/10 + 9*r**5/20 + r**4/4 + 2*r. Factor g(y).
3*y**2*(y + 1)**3
Let d(p) be the first derivative of p**7/840 - p**6/360 - p**5/120 + p**4/24 - p**3/3 - 1. Let c(j) be the third derivative of d(j). Factor c(h).
(h - 1)**2*(h + 1)
Let d(o) = -5*o**4 + 35*o**3 - 20*o**2 - 5. Let i(l) = -3*l**4 + 17*l**3 - 10*l**2 - 2. Let n(u) = -2*d(u) + 5*i(u). Factor n(h).
-5*h**2*(h - 2)*(h - 1)
Suppose 4*h + 0 = 8. Solve 5*t**2 - 3*t**h + 2*t - 3*t**2 + 9*t**2 = 0 for t.
-1/4, 0
Let p(g) = 6*g**3 - 2*g**2 - 4. Let w be 21/2 - 30/20. Let y(n) = -13*n**3 + 5*n**2 + 9. Let s(m) = w*p(m) + 4*y(m). Factor s(x).
2*x**2*(x + 1)
Let l(x) be the second derivative of x**4/84 + x**3/42 + 19*x. Solve l(t) = 0.
-1, 0
Let j(c) be the second derivative of 1/1440*c**6 + 0*c**2 - 1/96*c**4 + 2*c + 0 - 1/6*c**3 + 0*c**5. Let x(q) be the second derivative of j(q). Factor x(r).
(r - 1)*(r + 1)/4
Let v(x) = -2*x**4 + 4*x**3 + 3*x**2 - 3. Let q(g) = 3*g**3 - 5 + 3*g**3 - g**3 - 3*g**4 + 4*g**2 + 1. Let o(h) = -3*q(h) + 4*v(h). Find i, given that o(i) = 0.
-1, 0
Let d(k) = -3*k**3 - 12*k**2 + 12*k. Let p(m) = m**3. Let x(f) = -d(f) - 6*p(f). Suppose x(c) = 0. What is c?
0, 2
Let s(t) be the first derivative of 0*t**2 - 4*t**3 + 4/5*t**5 + 0*t - 4 - 2*t**4. Find f such that s(f) = 0.
-1, 0, 3
Let a be ((-12)/(-36))/(2/12) + 1. Find p such that 1/2*p**2 + 0*p + 1/2*p**a + 0 = 0.
-1, 0
Suppose 2*u + 4*b + b + 6 = 0, 2*u = b + 6. Let z(g) be the first derivative of u + 0*g - 4/21*g**3 + 1/14*g**4 + 0*g**2. Factor z(y).
2*y**2*(y - 2)/7
Let n(a) be the first derivative of -a**5/300 + a**4/60 - a**3/30 + a**2 + 2. Let s(u) be the second derivative of n(u). Suppose s(x) = 0. What is x?
1
Suppose 0 = -2*g - 4*m - m + 19, 0 = 4*m - 4. Suppose g - 1 = 3*q. Factor 2/5*s + 0 - 4/5*s**q.
-2*s*(2*s - 1)/5
Factor -4/5*i - 2/5*i**3 + 0 - 6/5*i**2.
-2*i*(i + 1)*(i + 2)/5
Let s(r) = -1. Let g(h) = -h + 2*h - 2 + h**2 + 4. Let c(t) = g(t) + 4*s(t). What is q in c(q) = 0?
-2, 1
Let z be (8/(-60))/(1 - 3). Let i(q) be the second derivative of z*q**6 + q + 0 + q**2 - 1/5*q**5 + 1/21*q**7 - 1/3*q**4 + 1/3*q**3. Factor i(o).
2*(o - 1)**2*(o + 1)**3
Let f(s) = -2*s**4 - 12*s**2 - 8*s + 6. Let q(a) = -a**4 - a**3 - a**2 + 1. Let x(l) = f(l) - 8*q(l). Factor x(v).
2*(v - 1)*(v + 1)**2*(3*v + 1)
Let s = 0 - -3. Suppose 12 = s*r - 0. Determine b, given that -b**5 - 2*b**2 - 3*b**3 + 2*b**r + 3*b**5 + b**5 = 0.
-1, -2/3, 0, 1
Solve -4*o**5 + 15*o**4 + 3*o**2 - 12 + 69*o**3 - 85*o - 17*o**5 + 37*o - 6*o**2 = 0.
-1, -2/7, 1, 2
Let d(h) be the first derivative of -h**7/420 - h**6/60 - h**5/30 - 2*h**3/3 - 3. Let q(l) be the third derivative of d(l). Factor q(x).
-2*x*(x + 1)*(x + 2)
Let z = -3625/24 + 457/3. Let t = z + -5/8. Determine q, given that -7/3*q**2 + 0 + t*q = 0.
0, 2/7
Let p be (-14)/77 + (-987)/(-44). Let s = 453/20 - p. Factor -s + 2*d**3 + 6/5*d**2 - 2/5*d + 4/5*d**4.
2*(d + 1)**3*(2*d - 1)/5
Let f(c) be the first derivative of c**7/14 - 3*c**5/10 + c**3/2 + 3*c + 5. Let r(t) be the first derivative of f(t). Find d such that r(d) = 0.
-1, 0, 1
Let r(i) be the third derivative of i**5/15 + i**4/2 + 4*i**3/3 + 9*i**2. Solve r(d) = 0 for d.
-2, -1
Let a(m) be the first derivative of -m**4/16 + m**3/12 + 35. Let a(i) = 0. Calculate i.
0, 1
Let w(y) = -3*y - 15. Let b be w(-5). Factor -2/7*f + 4/7*f**3 - 2/7*f**5 + 0 + b*f**2 + 0*f**4.
-2*f*(f - 1)**2*(f + 1)**2/7
Let 3*f**3 - 2*f**3 + 0*f**2 - 2 + 3*f**2 - f**2 - f = 0. What is f?
-2, -1, 1
Let n(q) be the first derivative of q**5/15 - q**4/3 + 2*q**3/3 - 2*q**2/3 - 7*q + 6. Let v(b) be the first derivative of n(b). Factor v(g).
4*(g - 1)**3/3
Suppose 154 = 95*w - 131