ve of p(j). Suppose i(d) = 0. What is d?
-1, 0, 1
Let t(u) = -6*u**2 - 2*u - 2. Let q(c) = -c**4 - 30*c**2 - 9*c - 11. Let g(r) = -2*q(r) + 11*t(r). Factor g(o).
2*o*(o - 2)*(o + 1)**2
Let z be -2 + ((-7)/(-1) - 3). Let g(h) be the second derivative of 0*h**z - 3/4*h**4 + 0 + 1/3*h**3 - 3*h. Suppose g(f) = 0. Calculate f.
0, 2/9
Let u(c) be the first derivative of 5*c**3/3 - 15*c**2/2 + 33. Determine z so that u(z) = 0.
0, 3
Determine w so that -2/5*w + 4/5*w**2 - 4/5*w**4 + 2/5*w**3 + 0 = 0.
-1, 0, 1/2, 1
Let a(d) = -2*d - 7. Let s be a(-5). Let r be 1/(4/(-12)*-1). Factor q**3 - 3*q**5 + 0*q**r + 2*q**s.
-3*q**3*(q - 1)*(q + 1)
Let m(a) be the first derivative of -1/6*a**3 - 1/4*a**2 - 1 + 0*a. Determine k, given that m(k) = 0.
-1, 0
Suppose -2*t + 3 = -t, m + t - 6 = 0. Factor m*y**4 - 3*y**2 - y - 3*y**3 - y + 5*y.
3*y*(y - 1)**2*(y + 1)
Let k = 4 - 2. Solve 5*p**2 - 2*p**2 - 3*p**2 - 2*p**k - p**3 - p = 0.
-1, 0
Let h(s) be the first derivative of -s**2/2 + 3*s + 5. Let o be h(0). Suppose -2/7*y + 0 + 2/7*y**2 - 2/7*y**4 + 2/7*y**o = 0. What is y?
-1, 0, 1
Find p, given that -5*p**5 + 4*p**3 + 2*p + 8*p**2 - 2*p**5 + 2*p**5 - p**5 - 8*p**4 = 0.
-1, -1/3, 0, 1
Let f(l) be the second derivative of 1/10*l**5 + 1/6*l**3 + 0*l**2 - 2*l + 0 + 1/4*l**4. Determine o so that f(o) = 0.
-1, -1/2, 0
Let c be 182/(-39)*(-6)/14. Determine z so that -z + 1/2*z**c + 1/2 = 0.
1
Suppose 7/6*v**2 - 1/6*v - 2/3*v**5 + 13/6*v**4 - 5/2*v**3 + 0 = 0. What is v?
0, 1/4, 1
Let y(m) = m**3 + 6*m**2 - 8*m - 7. Let p be y(-7). Find c such that 6*c**3 + p*c - 12*c**2 + 6*c**4 + 6 - 5*c**5 + 2*c**5 + 0*c - 3*c = 0.
-1, 1, 2
Let o(b) be the second derivative of -b**4/20 + b**3/10 + 3*b**2/5 + 5*b. Factor o(w).
-3*(w - 2)*(w + 1)/5
Suppose -c - 2 = 2. Let h be (c/30)/(3/(-10)). Factor h - 2/9*r**2 - 2/9*r.
-2*(r - 1)*(r + 2)/9
Determine s so that -5/7*s**3 + 1/7 + 5/7*s - 4/7*s**4 + 3/7*s**2 = 0.
-1, -1/4, 1
Let m(c) be the second derivative of -c**4/66 + 2*c**3/33 - 11*c. Factor m(j).
-2*j*(j - 2)/11
Let g = -5 - -7. Let l be (12/30)/((-3)/(-10)). Let -32/3*w**g - 22/3*w - l - 14/3*w**3 = 0. Calculate w.
-1, -2/7
Solve 1/3*a**5 + 1/3*a + 0*a**2 - 2/3*a**3 + 0*a**4 + 0 = 0.
-1, 0, 1
Let w(f) be the first derivative of 10*f**3/3 - 5*f**2/2 - 6. Factor w(y).
5*y*(2*y - 1)
Suppose 0 + 0*u + 1/3*u**3 + 5/3*u**2 = 0. What is u?
-5, 0
Let f(v) be the second derivative of -v**8/13440 - v**7/840 - v**6/120 - v**5/30 - v**4/4 - 7*v. Let n(g) be the third derivative of f(g). Solve n(p) = 0.
-2
Let x(v) be the second derivative of -v**6/30 + v**5/5 - v**4/2 + 2*v**3/3 + 7*v**2/2 + 5*v. Let b(u) be the first derivative of x(u). Factor b(c).
-4*(c - 1)**3
Let z(k) be the second derivative of k**6/120 - 3*k**5/40 + 3*k**4/16 + k. Factor z(f).
f**2*(f - 3)**2/4
Suppose 0*g + 2*g = 3*j - 4, 2*j + 5*g = 9. Let b(z) be the first derivative of -1/3*z**2 + 1/3*z + 1/9*z**3 + j. Factor b(h).
(h - 1)**2/3
Let i = 24/19 - 183/190. Let x(n) be the second derivative of i*n**2 + 0 - 1/15*n**3 - 1/60*n**4 - 4*n. Factor x(w).
-(w - 1)*(w + 3)/5
Let n(p) be the third derivative of 0*p + 0 - 4*p**2 + 1/42*p**3 - 1/840*p**6 + 1/168*p**4 - 1/420*p**5. Find z such that n(z) = 0.
-1, 1
Let q be 1/4 - (-7 - 24). Let w = q - 31. Factor 1/4*g + 0 - 1/4*g**3 - 1/4*g**2 + w*g**4.
g*(g - 1)**2*(g + 1)/4
Let c be 9 + (1 - -1 - 4). Factor -1 - 3*u - 2*u**3 - 1 - c*u**2 + 10*u + 4*u**3.
(u - 2)*(u - 1)*(2*u - 1)
Let x(g) be the second derivative of 0 - g + 28/9*g**3 + 1/6*g**5 + 11/9*g**4 + 8/3*g**2. Find d such that x(d) = 0.
-2, -2/5
Factor 15*i + 2*i**3 - 3*i**3 - 4*i**3 + 10.
-5*(i - 2)*(i + 1)**2
Let 0*v**2 + 1/2 - 1/2*v**4 - v**3 + v = 0. What is v?
-1, 1
Let o(n) = -n**2 + 6*n + 7. Let s be o(7). Factor 0*q - 3*q + s*q - 2*q**2 + 5*q**2.
3*q*(q - 1)
Let d(k) be the first derivative of -5*k**7/42 + k**6/10 + 7*k**5/20 - k**4/4 - k**3/3 - 6*k + 7. Let p(g) be the first derivative of d(g). Solve p(q) = 0.
-1, -2/5, 0, 1
Let q be 2/7 + 66/14. Let z = 7 - q. Suppose 0*b**3 + 0*b**z + b**3 + b**2 = 0. Calculate b.
-1, 0
Let s(z) = -z**3 + 4*z**2 - z. Let h be s(3). Suppose -i - 2*i = -h. Suppose -3 + 6*a + 6*a**i + 5*a**3 + 5 - 3*a**3 = 0. What is a?
-1
Let b(g) be the first derivative of 2*g**3/9 + 7*g**2/3 - 16*g/3 - 15. Factor b(w).
2*(w - 1)*(w + 8)/3
Determine o so that -69*o + 73*o + 6*o**2 - 4*o**2 = 0.
-2, 0
Let t be (-2)/2 + (-1)/(25/(-190)). Find l, given that -t*l**2 - 36/5*l - 9/5*l**3 - 12/5 = 0.
-2, -1, -2/3
Suppose 0 = -3*q - 0*q + 3*s, -2*s = q - 12. Let w(l) be the second derivative of -3*l + 0*l**3 - 1/30*l**q + 0*l**2 + 0. Factor w(t).
-2*t**2/5
Let a(z) be the second derivative of -z + 0 - 1/30*z**6 - 1/12*z**3 + 0*z**2 + 1/12*z**4 + 1/84*z**7 + 0*z**5. Factor a(c).
c*(c - 1)**3*(c + 1)/2
Suppose -q + 13 + 6 = k, -3*q + 60 = 2*k. Suppose -3*l + 3 = 0, 5*l = -j + 2*l + q. Factor r**4 + j*r**3 - 19*r**3 - r**2.
r**2*(r - 1)*(r + 1)
Let i(p) = -p + 16. Let t be i(9). Let v(h) be the third derivative of 0 + 0*h**3 + 0*h + 1/12*h**6 - 1/12*h**4 + 1/35*h**t - h**2 + 1/30*h**5. Factor v(u).
2*u*(u + 1)**2*(3*u - 1)
Let h(r) be the first derivative of -2/5*r**4 + 8/5*r**5 + 0*r - 5/3*r**6 + 0*r**3 + 0*r**2 - 3. Solve h(a) = 0.
0, 2/5
Find l, given that 1/2*l + 0 - l**2 + l**4 + 0*l**3 - 1/2*l**5 = 0.
-1, 0, 1
Suppose 45 - 45 = -19*t. Factor 2/3*o - 2/3*o**2 + 2/3*o**4 + t - 2/3*o**3.
2*o*(o - 1)**2*(o + 1)/3
Suppose -3*h + 0*h = -6. Let o be 0*(-1)/2 + h. Factor 0*p**4 - 3*p**o - 5*p**3 - p**2 + 2*p**4 + 3*p**3.
2*p**2*(p - 2)*(p + 1)
Let q(f) = f**3 + 7*f**2 + f + 10. Let h be q(-7). Suppose h*t - 4*v = 29 - 3, 2*v = -10. What is d in 2 + 3*d - 4*d**2 - 2*d + 3*d**t = 0?
-1, 2
Suppose -5*s + l = -3*l + 12, 4*s - 5*l = -15. Factor -4/9*g**2 - 2/9*g**3 + 0*g + s.
-2*g**2*(g + 2)/9
Let n = 1 + 3. Find w such that -3*w - 2*w**2 - 9*w**3 - 2*w**5 + 7*w**2 + 2*w + 7*w**n = 0.
0, 1/2, 1
Let h(s) be the first derivative of -3*s**6/4 + 12*s**5/5 + 7*s**4/4 - 8*s**3/3 + 3*s**2/4 - 36. Solve h(f) = 0.
-1, 0, 1/3, 3
Let c(z) = z**2 - 4*z + 2. Suppose -7 - 1 = -2*i. Let k be c(i). Determine x, given that 1 - 2*x**2 - 2*x + x**k - 1 = 0.
-2, 0
Let f(m) = -2*m**2 - 5*m. Let a be f(-1). Factor 6/5*g**4 - 2/5*g**5 + 0 - 6/5*g**a + 2/5*g**2 + 0*g.
-2*g**2*(g - 1)**3/5
Factor 0 + 2/11*l**3 + 8/11*l - 8/11*l**2.
2*l*(l - 2)**2/11
Let a(s) be the second derivative of 0 - 3*s - 1/147*s**7 + 2/105*s**6 - 1/21*s**4 + 0*s**5 + 0*s**2 + 1/21*s**3. Let a(r) = 0. What is r?
-1, 0, 1
Let k(p) be the third derivative of -p**6/1620 + p**5/270 - 2*p**3/3 - p**2. Let q(s) be the first derivative of k(s). Factor q(g).
-2*g*(g - 2)/9
Let u(c) be the first derivative of -c**6/24 + c**5/5 - 3*c**4/8 + c**3/3 - c**2/8 + 3. Determine k, given that u(k) = 0.
0, 1
Let s(d) be the third derivative of d**6/240 + d**5/40 + d**4/16 + d**3/12 - 8*d**2. Let s(o) = 0. Calculate o.
-1
Let p(u) = -u**3 + 40*u**2 - 44*u + 197. Let l be p(39). Factor 0 + 6/5*r**l - 3/5*r - 3/5*r**3.
-3*r*(r - 1)**2/5
Suppose 12*g - 6 = 18. Factor 1/2*d**g - 3/2*d + 1.
(d - 2)*(d - 1)/2
Let q(f) be the second derivative of 7*f**4/72 - 23*f**3/36 + f**2/2 - 6*f. Determine v so that q(v) = 0.
2/7, 3
Let c be -1*(-8 - -1) - -1. Factor 7*w + 2*w**3 + 9*w**2 + w**4 + 3*w**3 + c - 6.
(w + 1)**3*(w + 2)
Let x(i) be the second derivative of -i**4/42 - 5*i**3/21 - 11*i. Determine o, given that x(o) = 0.
-5, 0
Suppose 4*b + 3*x = 29, 4*b - 24 = b - 3*x. Suppose 4*w + 20 = 2*i, -3*i + b*w = i - 28. Factor 4*z**3 + 2*z**4 + 0*z - i*z - 2 - 2*z.
2*(z - 1)*(z + 1)**3
Let g = -6 + 8. Factor -4*y**2 + 14*y**g + 2*y**4 - y**3 - 7*y**3 - 4*y.
2*y*(y - 2)*(y - 1)**2
Factor -2/19*h**3 + 8/19*h**2 - 12/19 - 2/19*h.
-2*(h - 3)*(h - 2)*(h + 1)/19
Determine y, given that -18/5 - 2/5*y**2 + 12/5*y = 0.
3
Let y = -5226/5 + 1046. Let 2/5*c**2 - 2/5*c**5 - y*c - 2/5*c**4 + 6/5*c**3 + 0 = 0. What is c?
-2, -1, 0, 1
Suppose 0 = 3*r + 2*r - 10. Suppose 0 - 7/2*y**3 + 1/2*y + y**r + 2*y**4 = 0. Calculate y.
-1/4, 0, 1
Let i be (-5)/((-45)/(-6))*3. Let f be (0 - 8)/i*1. Let 3*a - 1 + 0 + 2 - a**2 + a**3 + f*a**2 = 0. What is a?
-1
Determine g, given that 6*g + 3/2*g**2 + 9/2 = 0.
-3, -1
Let b(x) be the third derivative of -x**7/175 - 7*x**6/300 - x**5/30 - x**4/60 - 11*x**2. Let b(s) = 0. What 