 0*u - 1/36*u**4 + 0. Factor k(x).
(x - 1)**2/3
Let a = 8 + -5. Suppose -a*q = 2 - 8. Factor -q*n**3 - 3/2*n + 6*n**4 + 7/2*n**5 - 7*n**2 + 1.
(n - 1)*(n + 1)**3*(7*n - 2)/2
Let s be 60/8 + -6 - (1 - 0). Let s*a**5 + 0*a**4 + 0*a**2 - a**3 + 1/2*a + 0 = 0. Calculate a.
-1, 0, 1
Let k(g) be the first derivative of -g**4/5 + g**3/3 + 7*g**2/10 - 2*g/5 + 23. Factor k(i).
-(i - 2)*(i + 1)*(4*i - 1)/5
Let l be (2*1/9)/((-12)/(-18)). Let i(o) be the first derivative of o + o**2 - 3 + l*o**3. Factor i(d).
(d + 1)**2
Let x(j) = 5*j**2 + 4*j - 5. Let l be x(1). Let z = 12/5 - 2. Determine d, given that z*d**5 - 2/5*d**l - 2/5*d**3 + 2/5*d**2 + 0 + 0*d = 0.
-1, 0, 1
Factor 14 - 9*v**2 + 3*v**4 - 8 - 3 - 3*v**3 - 9 + 15*v.
3*(v - 1)**3*(v + 2)
Let f be (4/(-10))/((-30)/25 + 1). Let 4/11*t + 2/11*t**f + 2/11 = 0. What is t?
-1
Suppose 0 - 85/3*l**3 - 20/3*l**4 - 80/3*l**2 - 5*l = 0. Calculate l.
-3, -1, -1/4, 0
Let h = 1 + 1. Let l = 0 + h. Factor -10*v**3 + 9*v**l + 3*v**3 - 5*v + 3*v.
-v*(v - 1)*(7*v - 2)
Let r(p) be the first derivative of p**6/6 + p**5/5 - p**4/4 - p**3/3 - 5. Find j such that r(j) = 0.
-1, 0, 1
Let m(h) be the second derivative of -3*h**5/110 + 5*h**4/11 - 25*h**3/11 - 22*h. Find w such that m(w) = 0.
0, 5
Let a(s) be the first derivative of s**5/15 - s**4/6 - 4*s**3/3 + 4*s**2 - 8. Let g(h) be the second derivative of a(h). Factor g(c).
4*(c - 2)*(c + 1)
Suppose 8/7 - 4/7*n**3 + 0*n**2 + 12/7*n = 0. What is n?
-1, 2
Let p(s) be the third derivative of s**7/1260 - s**6/360 + s**4/24 + 3*s**2. Let m(x) be the second derivative of p(x). Let m(w) = 0. What is w?
0, 1
Let p(g) = g**2 - 3*g - 5. Let q be p(5). Suppose q*l - 22 = -2. Determine r, given that 2*r**2 + 3*r**4 - 2*r**l + r**4 - 4*r**3 = 0.
0, 1
Let u(v) be the first derivative of -v**3/3 + v**2 - v - 6. Factor u(j).
-(j - 1)**2
Let t(f) be the third derivative of 2*f**2 - 4/105*f**7 + 1/3*f**3 + 7/24*f**4 + 0 - 1/112*f**8 + 0*f + 1/10*f**5 - 1/30*f**6. Factor t(m).
-(m - 1)*(m + 1)**3*(3*m + 2)
Let g(k) be the first derivative of 7*k**3 + 9*k**2 + 27*k/7 - 25. Let g(q) = 0. Calculate q.
-3/7
Let y(x) be the second derivative of -3*x - 3/80*x**5 + 0 + 0*x**3 + 0*x**2 + 0*x**4 + 1/40*x**6. Determine j so that y(j) = 0.
0, 1
Let o(x) be the third derivative of x**7/630 + x**6/90 + x**5/60 + x**2. Solve o(j) = 0.
-3, -1, 0
Let l(k) be the first derivative of 0*k**2 + 3 - 1/4*k**3 + 0*k**4 + 3/20*k**5 + 0*k. Factor l(r).
3*r**2*(r - 1)*(r + 1)/4
Let l be 1/14*-7*(-6)/4. What is p in l*p - 1/4*p**2 - 1/2 = 0?
1, 2
Let r(s) be the first derivative of 2/15*s**5 - 1/3*s**4 + 0*s**3 - 2/3*s + 2/3*s**2 - 5. Suppose r(c) = 0. Calculate c.
-1, 1
Suppose 5*v - 5 = 5*g, -2 = -v + g + g. Let h(b) be the first derivative of 1 + v*b + 1/12*b**3 + 1/8*b**2. Determine j so that h(j) = 0.
-1, 0
Let g = 2 - -2. Let g*i**4 + 2*i**5 + 4*i**2 - i - 6*i**3 - 2*i**5 - i**5 = 0. Calculate i.
0, 1
Let j(s) be the third derivative of -1/30*s**5 + 1/210*s**7 + 0*s + 3*s**2 + 0 + 0*s**4 + 1/6*s**3 + 0*s**6. Determine m so that j(m) = 0.
-1, 1
Let q(r) be the second derivative of 0 + 0*r**2 - 1/15*r**6 + 1/5*r**5 + 2*r - 1/6*r**4 + 0*r**3. Determine u, given that q(u) = 0.
0, 1
Let y be -3*3/54*-12. Let a(g) be the second derivative of -1/54*g**4 - 1/90*g**5 + 0 + 0*g**y - 2*g + 1/135*g**6 + 1/189*g**7 + 0*g**3. Factor a(b).
2*b**2*(b - 1)*(b + 1)**2/9
Let z(b) be the first derivative of -2*b**4/11 - 40*b**3/33 - 17*b**2/11 - 8*b/11 - 5. Suppose z(s) = 0. Calculate s.
-4, -1/2
Let o(u) be the first derivative of -2*u**3/39 - 3*u**2/13 - 4*u/13 + 15. Let o(v) = 0. Calculate v.
-2, -1
Find u, given that 6*u**2 - 3/2*u**5 + 0*u + 0 + 0*u**3 - 9/2*u**4 = 0.
-2, 0, 1
Let v(p) be the first derivative of p**6/20 + p**5/5 + p**4/24 - 2*p**3/3 - p**2 + 3*p - 7. Let u(a) be the first derivative of v(a). Solve u(h) = 0.
-2, -1, -2/3, 1
Let j(v) = v + 5*v - 3*v**2 + 7 + 8*v**2. Let b(t) = -11*t**2 - 13*t - 15. Let o(q) = 6*b(q) + 13*j(q). Factor o(x).
-(x - 1)*(x + 1)
Find r, given that -5 + r**2 - 9*r + 0 - 4*r**2 - 1 = 0.
-2, -1
Let k(b) be the first derivative of 9*b**4/8 + 4*b**3 + 21*b**2/4 + 3*b - 3. Factor k(s).
3*(s + 1)**2*(3*s + 2)/2
Factor 2/5*o**3 - 1/10 - 1/10*o**4 - 3/5*o**2 + 2/5*o.
-(o - 1)**4/10
Let a(k) = -k**3 - 13*k**2 - 12*k. Let i be a(-12). Factor -2/9*b**5 - 2/3*b**3 + 2/3*b**4 + 0 + i*b + 2/9*b**2.
-2*b**2*(b - 1)**3/9
Let j be (-3)/3*4/(-120). Let m(c) be the second derivative of 0*c**3 + 1/90*c**6 - c + 0*c**2 + j*c**5 + 1/36*c**4 + 0. Factor m(x).
x**2*(x + 1)**2/3
Let d(h) be the first derivative of h**7/1155 - h**6/660 + 2*h**2 + 2. Let p(w) be the second derivative of d(w). Let p(s) = 0. What is s?
0, 1
Suppose -12 = -5*q + q. Let -w**2 - w - w**q - 2*w**3 + w**4 + 4*w**2 + 0*w**2 = 0. What is w?
0, 1
Let b(v) = -v**3 + v + 1. Let n(o) = -3*o**2 + 3*o + 1. Let p(l) = 2*b(l) - 2*n(l). Determine x, given that p(x) = 0.
0, 1, 2
Let t(a) be the first derivative of -3*a**4/8 + a**3/2 + 3*a**2 - 6*a - 2. Suppose t(l) = 0. Calculate l.
-2, 1, 2
Let y(s) be the third derivative of s**6/360 - s**5/90 - s**4/24 - 17*s**2. Factor y(n).
n*(n - 3)*(n + 1)/3
Let g(l) be the second derivative of l**6/90 + l**5/60 - l**4/36 - l**3/18 + 39*l. Factor g(k).
k*(k - 1)*(k + 1)**2/3
Let z(i) = -12*i**2 - 15*i - 21. Let f(v) = -3*v**2 - 4*v - 5. Let t(h) = 9*f(h) - 2*z(h). What is y in t(y) = 0?
-1
Let f(m) = -m - 2. Let g be f(-2). Let n(l) be the third derivative of 0*l + 1/120*l**5 + l**2 + g*l**3 + 0 + 1/48*l**4. Suppose n(c) = 0. What is c?
-1, 0
Let s = -31 - -33. Let f**3 - 9/4*f**s - 1/4 + 3/2*f = 0. What is f?
1/4, 1
Suppose 5*t = 2*t. Let z(o) be the third derivative of 1/18*o**4 + o**2 - 1/90*o**6 + 0*o - 1/315*o**7 + t*o**5 + 1/9*o**3 + 0. Determine l so that z(l) = 0.
-1, 1
Let q(r) be the first derivative of r**3 - 3*r**2/2 - 8. Determine i, given that q(i) = 0.
0, 1
Let y(v) be the third derivative of 2*v**8/105 + 2*v**7/105 + v**6/180 + 2*v**3/3 + 2*v**2. Let z(t) be the first derivative of y(t). Factor z(i).
2*i**2*(4*i + 1)**2
Suppose 5*d = 3*k - 1, -2*d + 7 = -5*d + 5*k. Let g be (1/2)/(d/1). Determine a so that 0 - a - g*a**2 = 0.
-2, 0
Let t(o) = 9*o**2 - 11*o + 4. Let b(i) = -i**2 + i - 1. Let f(a) = 4*b(a) + 2*t(a). Suppose f(g) = 0. What is g?
2/7, 1
Factor -7*u**2 - 2*u**2 + 6*u - 6 - 3*u - 9*u**3 + 21*u**2.
-3*(u - 1)**2*(3*u + 2)
Let s(v) be the first derivative of -v**6/6 - v**5 - 2*v**4 - 4*v**3/3 + 4. Factor s(c).
-c**2*(c + 1)*(c + 2)**2
Let h(w) = w**3 + w. Let d be h(1). Let i be (-16)/(-140) - d/(-7). Factor -4/5*y**2 + 6/5*y - i*y**5 - 2/5 - 4/5*y**3 + 6/5*y**4.
-2*(y - 1)**4*(y + 1)/5
Let i(r) be the third derivative of r**7/105 - r**6/20 + r**5/30 + r**4/4 - 2*r**3/3 + 31*r**2. Determine a, given that i(a) = 0.
-1, 1, 2
Let u(v) be the first derivative of -2*v**5/5 + 3*v**4/2 - 2*v**3 + v**2 - 11. Factor u(l).
-2*l*(l - 1)**3
Let r(l) be the third derivative of l**7/140 + l**6/90 - l**3 - 2*l**2. Let f(q) be the first derivative of r(q). Solve f(b) = 0 for b.
-2/3, 0
Factor -355*j**2 - 18*j + 371*j**2 - 4*j**3 + 2*j.
-4*j*(j - 2)**2
Determine w so that 1/5*w**2 - 6/5*w + 8/5 = 0.
2, 4
Suppose -2*g + 2*m = 14, -3*g + 5*m = -14 + 43. Let s be (-2)/6*g/4. What is i in -1/2*i + 0 + s*i**2 = 0?
0, 2
Let a(o) = 7*o**3 - 3*o + 4. Let v be (17/1 - -3) + 1. Let t(f) = 36*f**3 - 15*f + 21. Let q(y) = v*a(y) - 4*t(y). Factor q(w).
3*w*(w - 1)*(w + 1)
Let q be 1*(1 + -2) + -2. Let t = -3 - q. Solve 0*o - 2/9*o**2 + t = 0.
0
Let w(n) be the second derivative of 0 + 1/9*n**3 + 1/12*n**4 - 4*n - 1/30*n**6 - 1/30*n**5 + 0*n**2. Suppose w(v) = 0. Calculate v.
-1, -2/3, 0, 1
Let n(y) be the second derivative of y + 0*y**5 + 0*y**2 + 1/10*y**6 + 0 + 0*y**3 - 1/4*y**4. Factor n(s).
3*s**2*(s - 1)*(s + 1)
Factor -2/5 - 2/15*s**2 - 8/15*s.
-2*(s + 1)*(s + 3)/15
Suppose -2 = -3*n + j, -3*j = -5*j + 8. Factor 3*k**5 - 2*k**3 - n*k**3 - k - k**5 + 3*k.
2*k*(k - 1)**2*(k + 1)**2
Let x(p) be the first derivative of 1/5*p - 1/5*p**2 - 1/5*p**3 + 3. Factor x(h).
-(h + 1)*(3*h - 1)/5
Let d(p) be the first derivative of p**7/105 - 4*p**6/75 + 3*p**5/25 - 2*p**4/15 + p**3/15 - p + 1. Let v(g) be the first derivative of d(g). Factor v(u).
2*u*(u - 1)**4/5
Let f(w) be the first derivative of -w**4/20 - w*