 be v(-1). Let j(d) = -2*d - 10. Let r be j(-6). Factor n*t**3 + t + t**r - 8*t**3 - t**4 + 0*t**2.
-t*(t - 1)*(t + 1)**2
Let i(h) = -h**2 + 11*h - 8. Let c be i(10). What is f in -2*f**c - f**4 + 2*f**4 + 3*f**3 - 2*f**3 = 0?
-2, 0, 1
Let g(t) = -4*t**2 - 8*t - 6. Let d(i) = 17*i**2 + 32*i + 23. Let u(c) = -2*d(c) - 9*g(c). Factor u(n).
2*(n + 2)**2
Factor 6*h - 5 + 1 + 4 - 3*h**2.
-3*h*(h - 2)
Let p be (-6)/11*(-946)/387. Factor 4/3 + 1/3*a**2 - p*a.
(a - 2)**2/3
Let 5*a**3 + 2/3 + 7*a + 59/3*a**2 - 25/3*a**4 = 0. What is a?
-1, -1/5, 2
Let q(y) be the second derivative of -y**5/45 - y**4/24 + y**3/18 + 2*y**2 - y. Let n(o) be the first derivative of q(o). Factor n(s).
-(s + 1)*(4*s - 1)/3
Let f = 217 - 2381/11. Factor -f*p**2 - 2/11*p + 0.
-2*p*(3*p + 1)/11
Let x(g) = -g**3 - 3*g**2 - 2*g + 2. Let l be x(-3). Suppose 5*t + 2*m - 10 = 0, 3*t + t - 2*m = l. What is v in -1/2*v**3 - 1/2*v**t + 0 + 0*v = 0?
-1, 0
Let s = 28 - 27. Let r(w) be the first derivative of 2/33*w**3 - 2/11*w**2 + s + 2/11*w. Factor r(f).
2*(f - 1)**2/11
Let s(j) = j**2 + j + 1. Let l(t) = 6*t**2 + t + 8. Let f(i) = l(i) - 5*s(i). Find c such that f(c) = 0.
1, 3
Let c(h) be the third derivative of -h**6/40 + h**4/2 - 38*h**2. Let c(k) = 0. Calculate k.
-2, 0, 2
Let z be (0 + 0)/(4/(-2)). Let l(m) be the third derivative of m**2 + 1/60*m**5 + 0*m**3 + z*m + 0 - 1/24*m**4. Solve l(i) = 0.
0, 1
Let f(q) be the third derivative of -q**7/70 - 3*q**6/10 - 27*q**5/10 - 27*q**4/2 - 81*q**3/2 - 2*q**2. Factor f(p).
-3*(p + 3)**4
Let q(k) be the first derivative of k**5/300 + k**4/120 - k**3/15 - 2*k**2 - 3. Let y(n) be the second derivative of q(n). Determine w, given that y(w) = 0.
-2, 1
Let f(s) = -s**2 - 6*s - 4. Let c be f(-4). Factor -4/5*g**3 + 4/5*g**2 - 2/5*g**c + 2/5*g**5 - 2/5 + 2/5*g.
2*(g - 1)**3*(g + 1)**2/5
Let m(o) be the second derivative of -1/15*o**4 + 0 - o + 1/15*o**3 + 0*o**5 + 0*o**2 + 2/75*o**6 - 1/105*o**7. Factor m(l).
-2*l*(l - 1)**3*(l + 1)/5
Let w(j) = -j**2 + j - 3. Let y be w(0). Let l = 0 - y. Find q such that 1/4 - 1/2*q**2 + 1/4*q - 1/2*q**l + 1/4*q**4 + 1/4*q**5 = 0.
-1, 1
Let o(h) be the third derivative of -3*h**8/392 - 2*h**7/245 + 11*h**6/420 + 2*h**5/105 - h**4/21 + 9*h**2. What is f in o(f) = 0?
-1, 0, 2/3
Let y(q) be the first derivative of -q**4/2 + 4*q**3/3 - q**2 + 3*q - 6. Let i(w) be the first derivative of y(w). Find r such that i(r) = 0.
1/3, 1
Let g(f) be the third derivative of -f**5/210 + f**4/42 + 5*f**2. Find q, given that g(q) = 0.
0, 2
Suppose 1/4*o + 0 - 1/4*o**4 + 1/4*o**2 - 1/4*o**3 = 0. Calculate o.
-1, 0, 1
Let b(c) = c**4 + c**2 - c + 1. Let w = -1 - -3. Suppose 2*q = -w*q + 4. Let j(r) = -r**4 - r**3 + 3*r**2 + 1. Let o(p) = q*j(p) - b(p). Factor o(g).
-g*(g - 1)*(g + 1)*(2*g + 1)
Let k(r) be the second derivative of r**5/20 - r**4/2 + r**3 - r**2/2 + r. Let n be k(5). Determine x, given that -2*x + 2*x**3 - n*x**3 + x**5 + 3*x = 0.
-1, 0, 1
Let q(b) be the first derivative of -1/120*b**5 - b**2 + 0*b + 1/12*b**3 + 0*b**4 - 2. Let m(y) be the second derivative of q(y). Factor m(p).
-(p - 1)*(p + 1)/2
What is j in -4*j**2 + 12*j**2 - 28 + 2*j**3 - 48*j - 4 + 10*j**3 = 0?
-2, -2/3, 2
Let b = -199 + 1397/7. Factor 2/7*i**4 + 4/7*i**3 - b*i + 0*i**2 - 2/7.
2*(i - 1)*(i + 1)**3/7
Let t be (0 - (-6)/(-4))*6. Let k = -7 - t. Determine g, given that 0*g**k - 2/7*g + 0 + 2/7*g**3 = 0.
-1, 0, 1
Determine g so that 5/2*g + 1/2*g**3 + 2*g**2 + 1 = 0.
-2, -1
Suppose 3 = w - 2. Solve -v + 2*v**5 + 0*v**5 + 2*v**4 + 2 - w*v**3 - 4*v**2 + v**3 + 3*v = 0.
-1, 1
Let f(j) be the second derivative of -j**5/5 + 11*j**4/12 - 5*j**3/6 - j**2 + 4*j. Factor f(m).
-(m - 2)*(m - 1)*(4*m + 1)
Let j = 164 + -161. What is o in -2/5*o**4 - 2/5 + 0*o**j + 0*o + 4/5*o**2 = 0?
-1, 1
Let b(v) = 2*v**2 + 2*v - 4. Let c(q) = -2*q**2 - q + 3. Let h = -18 + 15. Let d(s) = h*b(s) - 4*c(s). Factor d(x).
2*x*(x - 1)
Let r(w) be the first derivative of -w**6/3 - 4*w**5 - 39*w**4/2 - 148*w**3/3 - 68*w**2 - 48*w + 8. Factor r(m).
-2*(m + 1)*(m + 2)**3*(m + 3)
Let z(v) = 7*v**3 - 9*v**2 + 2*v + 5. Let g(i) = -8*i**3 + 10*i**2 - 2*i - 6. Let x(k) = 5*g(k) + 6*z(k). Let x(b) = 0. What is b?
0, 1
Find a, given that -64*a**2 - 3*a**4 + 4*a**4 + 65*a**2 + 2*a**3 = 0.
-1, 0
Suppose -12 = -4*q + 4*s - 4, -3*q = -s - 2. Let j = q + 0. Solve 2/5*g**2 + j + 2/5*g = 0.
-1, 0
Suppose -5*n + 3 = -7. Factor -4*k + 2*k**2 - 3*k**n + 3*k.
-k*(k + 1)
Let v(i) be the second derivative of 0 - 1/25*i**5 + 0*i**2 + 3*i + 0*i**3 + 1/30*i**4 + 1/75*i**6. Find u such that v(u) = 0.
0, 1
Let p(a) be the second derivative of -a**9/35280 + 3*a**8/15680 - a**7/2940 + a**4/12 + 4*a. Let z(u) be the third derivative of p(u). Factor z(s).
-3*s**2*(s - 2)*(s - 1)/7
Suppose -8*c + 10*c - 4 = 0. Suppose v - c*y = -2*v, v - 5*y = 0. Suppose -10/3*w**2 + 2/3 + 8/3*w**4 + 0*w + v*w**3 = 0. Calculate w.
-1, -1/2, 1/2, 1
Suppose 3*u - 3 = -3*d, 2*d + 2*d = u + 19. Factor -d - 6 - o**2 - 6 - 6*o + 7.
-(o + 3)**2
Factor -74*z**3 - 5 + 10*z - 76*z**3 + 140*z**3 + 5*z**4.
5*(z - 1)**3*(z + 1)
Let o(h) = h**4 - 11*h**3 - 27*h**2 - 18*h + 3. Let w(x) = -12*x**3 - 28*x**2 - 18*x + 2. Let c(k) = -4*o(k) + 6*w(k). Factor c(y).
-4*y*(y + 1)*(y + 3)**2
Let q = 3 - 1. Solve 0 + 1/5*o - 1/5*o**3 + 0*o**q = 0 for o.
-1, 0, 1
Let g(f) be the third derivative of f**5/150 - f**3/15 + 3*f**2. Factor g(v).
2*(v - 1)*(v + 1)/5
Let y(i) be the second derivative of 0 + 0*i**2 - 1/90*i**5 + 1/54*i**4 + 2/27*i**3 + 6*i. Find l, given that y(l) = 0.
-1, 0, 2
Let f(i) = -7*i**4 + 7*i**3 - 4*i**2. Suppose 0*y + 3 = 3*y. Let a(u) = -u**4 + u**3 - u**2. Let m(g) = y*f(g) - 4*a(g). Factor m(w).
-3*w**3*(w - 1)
Let g(c) be the first derivative of 5/9*c**3 - 13/12*c**4 - 2*c**5 + 0*c + 1/3*c**2 - 2. Let g(z) = 0. What is z?
-1/2, -1/3, 0, 2/5
Let v(l) be the third derivative of -l**8/420 + 4*l**7/525 + l**6/150 - 2*l**5/75 - 13*l**2. What is f in v(f) = 0?
-1, 0, 1, 2
Let j(t) be the second derivative of -t**6/15 - 2*t**5/5 - t**4/2 + 2*t + 15. Factor j(q).
-2*q**2*(q + 1)*(q + 3)
Suppose 0*d + 2*d = 2. Factor 2 - 2*s**3 + 1 - 3*s**2 + 4*s + d + s**4.
(s - 2)**2*(s + 1)**2
Let g(m) be the third derivative of 0 + 0*m**4 - 1/30*m**5 + 1/30*m**6 - 1/420*m**7 + 0*m**3 + 5*m**2 + 0*m - 1/224*m**8. Find p, given that g(p) = 0.
-2, 0, 2/3, 1
Suppose -8 = -4*g - 0*g. Determine y, given that -3 - y - y + 3 - 6*y**3 + g*y**4 + 6*y**2 = 0.
0, 1
Suppose -x = -0*x - 9. Let u = x + -17/2. Factor u - 3/2*f - 1/2*f**3 + 3/2*f**2.
-(f - 1)**3/2
Factor -2*p - 13*p**3 - 4*p**2 + 12*p**2 - 2*p + 9*p**3.
-4*p*(p - 1)**2
Let g(n) be the second derivative of 1/2*n**3 + n**2 + 1/12*n**4 + 0 + 2*n. Factor g(x).
(x + 1)*(x + 2)
Let q(u) be the first derivative of 1/5*u**5 - 1/4*u**4 - 3 - 1/2*u - 1/6*u**3 - 1/24*u**6 + 5/8*u**2. Solve q(o) = 0 for o.
-1, 1, 2
Let x(y) = 2*y**3 - 3*y**2 + 2*y + 2. Let t be x(2). Let k be t/2*2/5. Let 2/3 - 4/3*u + 2/3*u**k = 0. What is u?
1
Let x(u) = -2*u - 5. Let m be x(-3). Let s be (1 - m)*(-1)/(-2). Find o, given that 1/4*o**3 + 0*o - 1/4*o**2 + s = 0.
0, 1
Factor -12/13 + 2/13*d + 2/13*d**2.
2*(d - 2)*(d + 3)/13
Find j such that -4/3*j**3 - 4/3*j + 1/3*j**4 + 2*j**2 + 1/3 = 0.
1
Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 1/105*w**6 - 4*w - 1/21*w**4 + 3/70*w**5. Factor m(j).
-2*j**2*(j - 2)*(j - 1)/7
Let o(j) = 13*j**2 + 4*j. Let r be 1/((-15)/(-12) + -1). Let d(x) = x**2 - x. Let y(z) = r*d(z) + 2*o(z). Factor y(v).
2*v*(15*v + 2)
Factor 6*q**4 - 2*q**5 - 4*q**3 - 4*q**2 + 2*q - 6*q + 10*q - 2.
-2*(q - 1)**4*(q + 1)
Let l(a) be the second derivative of -a**7/13860 - a**4/12 - 3*a. Let c(g) be the third derivative of l(g). Let c(q) = 0. Calculate q.
0
Let l(y) = y + 1. Let k be l(1). Let w(r) be the third derivative of 1/360*r**6 + 0*r**3 - 1/630*r**7 - r**k + 0 + 0*r + 0*r**5 + 0*r**4. Factor w(c).
-c**3*(c - 1)/3
Let d(r) be the second derivative of 5*r**4/12 - 5*r**2/2 - 13*r. Suppose d(t) = 0. What is t?
-1, 1
Let x(y) be the third derivative of y**7/1470 + y**6/280 + y**5/420 - y**4/56 - y**3/21 - y**2. Find a, given that x(a) = 0.
-2, -1, 1
Let z be (-2 - -1)/((-2)/(-66)). Let y = -30 - z. What is x in -1/3*x + 1/3*x**y - 1/3*x**2 + 1/3 = 0?
-1, 1
Let b(u) = -3*u**3 - 9*u**2 - 5*u + 5. Suppose