v. Let j(z) = -13*k(z) + 6*u(z). Let j(n) = 0. What is n?
-1, 0
Let n(a) = 7*a**2 - 9*a + 2. Let s = 16 - 30. Let f(i) = 20*i**2 - 26*i + 6. Let q(x) = s*n(x) + 5*f(x). Find g, given that q(g) = 0.
1
Let c(a) = 2*a**2 + 13*a + 11. Let g be c(-8). Suppose -3*x + g = 2*x. Factor -x*j - 2 + j + 0 - 4*j**2.
-2*(j + 1)*(2*j + 1)
Suppose 0 = -5*d + 7 + 18. Let w be 17/4 - (d + -3). Let 1/2 + 11/4*c + w*c**2 = 0. Calculate c.
-1, -2/9
Suppose 4*c + 2*c = 0. Let g(k) be the third derivative of 0*k**4 + 0 + 0*k + k**2 + c*k**3 + 1/60*k**5. Solve g(i) = 0.
0
Let m(s) be the second derivative of -s**5/160 - s**4/48 - s**3/48 + 69*s. Let m(c) = 0. What is c?
-1, 0
Suppose 2*c = 3*n - 11, -2*c + 9 = 9*n - 8*n. Solve 8/3*j**3 + 26/3*j + 2 + 32/3*j**c = 0 for j.
-3, -1/2
Let o(l) = -l**2 + 10*l - 11. Let m be o(9). Let s = 7 + m. Find d, given that 2/9 + 2/9*d**4 + 2/9*d - 4/9*d**3 - 4/9*d**2 + 2/9*d**s = 0.
-1, 1
Let n = -1 + 6. Suppose 5*q + 14 = -2*z, n*z - 2*q + 5 = -7*q. Factor c**5 - 5*c**z + 2*c**3 + c**3 + c**3.
c**3*(c - 1)*(c + 1)
Factor 10/3*t + 2/3 + 3/2*t**2.
(t + 2)*(9*t + 2)/6
Let g(u) be the second derivative of -3*u**5/20 + u**3/2 + 34*u. Find s such that g(s) = 0.
-1, 0, 1
Let j(s) be the first derivative of -s**6/1440 + s**4/96 - 7*s**3/3 + 7. Let n(l) be the third derivative of j(l). Determine r, given that n(r) = 0.
-1, 1
Let d(p) be the first derivative of 0*p - 1/39*p**6 + 0*p**5 + 4 + 0*p**4 + 0*p**2 + 0*p**3. Let d(t) = 0. Calculate t.
0
Let g(o) be the third derivative of 3*o**6/160 + o**5/20 + o**4/32 - 9*o**2. Factor g(b).
3*b*(b + 1)*(3*b + 1)/4
Let o(l) be the third derivative of 3/8*l**4 + 2*l**2 + 0*l**3 + 0*l + 1/120*l**6 + 0 + 1/10*l**5. What is u in o(u) = 0?
-3, 0
Let u(q) be the first derivative of -2*q**5/35 - 5*q**4/14 - 16*q**3/21 - 4*q**2/7 - 4. Find n, given that u(n) = 0.
-2, -1, 0
Factor -54/7*s**2 + 44/7*s - 8/7 - 4/7*s**4 + 25/7*s**3.
-(s - 2)**3*(4*s - 1)/7
Let v(a) be the second derivative of a**7/2520 + a**6/360 + a**4/12 - a. Let h(r) be the third derivative of v(r). Find g such that h(g) = 0.
-2, 0
Let z(a) be the third derivative of -2*a**7/15 + a**6/6 + 3*a**5/5 - 5*a**4/6 - 4*a**3/3 - 3*a**2. Suppose z(o) = 0. What is o?
-1, -2/7, 1
Factor 6*q**2 + q - q - 3*q**3 - 3*q.
-3*q*(q - 1)**2
What is y in 0 - 3/2*y - 1/2*y**3 + 2*y**2 = 0?
0, 1, 3
Let k(l) be the second derivative of -2/3*l**3 - 1/12*l**4 + 0 - 3/2*l**2 - 5*l. Solve k(r) = 0.
-3, -1
Let l = 60 + -56. Factor -6/5*a**3 - 1/5*a**5 + 4/5*a**l + 0 + 4/5*a**2 - 1/5*a.
-a*(a - 1)**4/5
Let p be 68/6 - 4/(-6). Suppose -w - 2*w = -p. Factor 2*v**2 - 2*v**3 - w*v - 6*v**2 - 2*v**2.
-2*v*(v + 1)*(v + 2)
Let p(c) be the second derivative of c**7/1050 - c**6/600 - c**5/150 + c**2 + 2*c. Let n(o) be the first derivative of p(o). Factor n(z).
z**2*(z - 2)*(z + 1)/5
Let d(z) be the third derivative of z**6/1620 + z**5/540 + z**3/6 - z**2. Let q(m) be the first derivative of d(m). Factor q(k).
2*k*(k + 1)/9
Suppose -5*a + o + 2*o + 3 = 0, -a + o = 1. Let n = -1 + a. Factor 5*g - n*g**2 + 4 - 3*g + 0*g.
-2*(g - 2)*(g + 1)
Let w(c) be the second derivative of 0 - 1/12*c**4 + 1/2*c**3 + 6*c - c**2. Find a, given that w(a) = 0.
1, 2
Let z(n) = -n**3 + 1. Let l(g) = -36*g**2 - 108*g - 112. Let b(t) = -l(t) - 4*z(t). Factor b(o).
4*(o + 3)**3
Let q(l) = -1 + l**3 - 4*l**5 + 0*l + 5*l**3 + 4 + 5*l**2 - 3*l. Let v(d) = -11*d**5 + 17*d**3 + 14*d**2 - 8*d + 8. Let n(c) = 8*q(c) - 3*v(c). Factor n(y).
y**2*(y - 2)*(y + 1)**2
Factor 15*u - 20 + 17*u**2 - 5*u**2 - 7*u**2.
5*(u - 1)*(u + 4)
Let w = -1440 - -1443. Factor 0*d + 4/9*d**5 + 0 + 0*d**2 - 2/9*d**w - 2/9*d**4.
2*d**3*(d - 1)*(2*d + 1)/9
Let 391 + s**2 + 9*s**2 + 26*s - 403 = 0. What is s?
-3, 2/5
Factor 2/3*x**3 + 14/3*x**2 + 22/3*x + 10/3.
2*(x + 1)**2*(x + 5)/3
Let s(a) be the first derivative of a**6/45 + 4*a**5/25 + 2*a**4/5 + 16*a**3/45 - 16. Factor s(b).
2*b**2*(b + 2)**3/15
Let b(u) = u**3 - 3*u**2 - 4*u + 2. Let o be b(4). Let c(p) be the first derivative of -2/21*p**3 - 1/14*p**4 + 2/7*p + 1/7*p**2 + o. Factor c(j).
-2*(j - 1)*(j + 1)**2/7
Let x(y) be the second derivative of -y**3/3 - 11*y**2/2 + 2*y. Let q be x(-8). Find o such that 0*o**3 + 0 - 30/7*o**q - 38/7*o**4 + 8/7*o**2 + 0*o = 0.
-1, -2/3, 0, 2/5
Let f(d) = d**2 - 5*d + 3. Let i be f(5). Factor 2*a**2 + a + a - 2 - 4*a**i + 0*a**2 + 2*a**3.
-2*(a - 1)**2*(a + 1)
Let x(m) be the third derivative of -2/35*m**7 + 0*m**3 + 1/20*m**5 + 0*m + 0 + 0*m**4 + 3/40*m**6 + 2*m**2. Factor x(i).
-3*i**2*(i - 1)*(4*i + 1)
Let u(y) be the second derivative of y**7 - 43*y**6/10 + 27*y**5/4 - 17*y**4/4 + y**3/2 + 13*y. Find f, given that u(f) = 0.
0, 1/14, 1
Let v = 12 - 1. Find y, given that 3 + 2 + v*y**2 - 3 - 9*y**2 - 4*y = 0.
1
Let j(b) = 17*b**5 - b**4 + b**2 - 6*b + 11. Let d(f) = -34*f + 31*f + f**2 - f**2 + 9*f**5 + 6. Let y(v) = -11*d(v) + 6*j(v). Let y(c) = 0. What is c?
-1, 0, 1
Let j(m) be the first derivative of m**3/6 + 3*m**2/4 + m - 6. Find d, given that j(d) = 0.
-2, -1
Let w(r) be the first derivative of r**5/10 + r**4/6 - r**3/3 - r**2 - 3*r + 3. Let k(q) be the first derivative of w(q). Factor k(f).
2*(f - 1)*(f + 1)**2
Let o(v) be the first derivative of v**6/4 - 13*v**5/10 + 11*v**4/4 - 3*v**3 + 7*v**2/4 - v/2 + 10. Find n such that o(n) = 0.
1/3, 1
Let l be 1 + (-1 - (1 + -5)). Factor -7*n**3 - n**l - 3*n**2 + 10*n**3 - 4*n + 5*n.
-n*(n - 1)**3
Let s(u) = -5*u + u**3 + 4*u + 0*u. Let m be s(1). Factor 0 + m*b - 3/4*b**3 - 1/4*b**5 + 1/4*b**2 + 3/4*b**4.
-b**2*(b - 1)**3/4
Let d(j) be the first derivative of -j**4/16 + j**3/4 - 3*j**2/8 + j/4 + 9. Let d(s) = 0. Calculate s.
1
Suppose -3*x = -0*x - 12. Suppose 2*i = x*i - 10. Factor -1/3*p**4 - 2/3*p**3 + 0*p**2 + 0*p + 0 + p**i.
p**3*(p - 1)*(3*p + 2)/3
Let v(u) = -u**2 + 10*u. Let i be v(5). Factor 11*c**4 - 1 + 5 + 36*c**2 - 2*c**4 + i*c**2 - 42*c**3 - 28*c.
(c - 2)**2*(3*c - 1)**2
Let c(n) be the first derivative of 1/6*n**4 + 0*n**2 + 0*n - 3 - 1/9*n**3. Factor c(m).
m**2*(2*m - 1)/3
Let g(d) be the first derivative of -2*d**6/3 - 28*d**5/5 - 18*d**4 - 88*d**3/3 - 26*d**2 - 12*d + 14. Factor g(s).
-4*(s + 1)**4*(s + 3)
Let y(p) be the first derivative of -p**3 + 11/6*p**2 + 1 - 2/3*p. Factor y(q).
-(q - 1)*(9*q - 2)/3
Let z(m) = -m + 5. Let l be z(4). Let c be (l - 9/6)*-4. Factor -8*v**c - v**3 + 7*v**2 + v + 0*v**3 + 1.
-(v - 1)*(v + 1)**2
Let x be (18/15)/6*5/2. Let z be 2/5 + 6/(-40). Solve -1/2*p**2 + 1/4*p**4 + x*p**3 - z*p + 1/4 - 1/4*p**5 = 0 for p.
-1, 1
Let r(x) = x**4 + x**2 + x + 1. Let q be (-6)/4*(0 - -2). Let a(h) = -6*h**4 - 15*h**3 - 27*h**2 - 15*h - 3. Let t(w) = q*r(w) - a(w). Factor t(y).
3*y*(y + 1)*(y + 2)**2
Let u(x) be the first derivative of -2*x**6/21 + 12*x**5/35 - 2*x**4/7 - 8*x**3/21 + 6*x**2/7 - 4*x/7 - 24. Find j such that u(j) = 0.
-1, 1
Solve 1/6*x**4 + 0*x - 1/3*x**2 + 0 - 1/6*x**3 = 0.
-1, 0, 2
Let t(y) be the second derivative of y**7/126 - y**5/20 - y**4/18 - 42*y. Find i, given that t(i) = 0.
-1, 0, 2
Let s be (-37)/15*-3 + -5. Determine t so that s*t**2 + 2/5 + 6/5*t**5 - 2*t + 4/5*t**3 - 14/5*t**4 = 0.
-1, 1/3, 1
Let h(r) be the second derivative of -r**6/1080 + r**5/360 - 2*r**3/3 - 3*r. Let b(p) be the second derivative of h(p). Solve b(f) = 0.
0, 1
Let s = 1 + -4. Let z = s - -7/2. Factor -z - 3/4*j - 1/4*j**2.
-(j + 1)*(j + 2)/4
Find i, given that 15/2*i**4 - 12*i**3 + 6 - 27/2*i**2 + 12*i = 0.
-1, -2/5, 1, 2
Let r be 4/40*-26 - -3. Let d(h) be the first derivative of 1/4*h**4 + 0*h**3 + r*h**5 - 2 + 1/6*h**6 + 0*h**2 + 0*h. Suppose d(t) = 0. Calculate t.
-1, 0
Solve 2*x**2 + 2*x**4 - 7*x**3 + 19*x**3 - 8*x**3 = 0 for x.
-1, 0
Factor 0*a**2 + 0*a + 1/3*a**5 + 0 + 0*a**3 - 1/3*a**4.
a**4*(a - 1)/3
Suppose -75 = 5*f - 2*k, f + 2*k = 3*f + 24. Let i = f - -53/3. What is q in -2/9 + 8/9*q - i*q**2 = 0?
1/3, 1
Let s(y) = 8*y**3 - 6*y**2 - 2*y - 5. Let o(u) = -u**3 + u + 1. Let m(b) = 5*o(b) + s(b). Solve m(z) = 0.
0, 1
Determine b, given that -46/5*b**3 - 26/5*b - 4/5 - 14/5*b**4 - 54/5*b**2 = 0.
-1, -2/7
Let o be (-1 + 3)*(-12)/(-8). Suppose -2*h + 10 = o*h. Factor 0*y + 2*y + y**2 + 6*y**3 + h*y**4 + 5*y**2.
2*y*(y + 1)**3
Let o(x) = -3*x**2 - x. Let y(i) = -13*i**2 - 4*i - 1. Let d(q) = -18*o(q) + 4*y(q). Factor d(k).
2*(k - 1)*(k + 2)
Let f(