*j**3 + 7/20*j**4. Factor u(c).
-3*c*(c - 2)*(c - 1)**3/5
Suppose -5*y + 8*y + 12 = 0. Let b(o) = o**2 - o - 1. Let s(h) = 8*h**2 - 4*h - 7. Let x(i) = y*s(i) + 28*b(i). Solve x(g) = 0 for g.
-3, 0
Let x(o) be the second derivative of 0*o**4 + 0 - 1/20*o**5 - 1/42*o**7 + 0*o**3 + 1/15*o**6 + 2*o + 0*o**2. Suppose x(v) = 0. What is v?
0, 1
Let d(y) be the third derivative of y**7/105 + y**6/4 + 21*y**5/10 + 49*y**4/12 + 10*y**2. Let d(h) = 0. Calculate h.
-7, -1, 0
Let l(v) be the first derivative of v**6/180 + v**5/90 - v**4/36 - v**3/9 - 3*v**2/2 + 4. Let y(g) be the second derivative of l(g). Factor y(h).
2*(h - 1)*(h + 1)**2/3
Let t(m) be the third derivative of -9*m**6/40 + 3*m**5/20 + m**4/8 - m**3/6 + 2*m**2. Factor t(x).
-(3*x - 1)**2*(3*x + 1)
Let v(f) = f**3 + f**2. Let c(b) be the third derivative of -b**6/30 - b**5/20 + b**4/24 + 3*b**2. Let g(m) = -2*c(m) - 10*v(m). Factor g(s).
-2*s*(s + 1)**2
Determine r so that -1/6*r**3 + 0 + 0*r - 1/6*r**2 = 0.
-1, 0
Suppose -12 = -6*z - 0*z. Factor f + f**4 - 1/4*f**3 - 1/4*f**5 + 2 - 5/2*f**z.
-(f - 2)**3*(f + 1)**2/4
Suppose -3 = y + 1. Let a = y - -8. Factor -2*b**4 + 5*b**3 + 3*b**a + 2*b**4 + b**2 - 9*b**5.
-b**2*(b - 1)*(3*b + 1)**2
Let s(d) = 3*d**3 + 12*d**2 - 15*d + 6. Let a(r) = 3*r**3 + 13*r**2 - 16*r + 7. Let h(m) = 6*a(m) - 7*s(m). Factor h(l).
-3*l*(l - 1)*(l + 3)
Let h be (-300)/(-78) - (-2)/13. Let y be (h/(-6))/((-2)/4). Determine v so that 2/3 + 5/3*v + y*v**2 + 1/3*v**3 = 0.
-2, -1
Let b(w) be the second derivative of 11*w**5/120 + w**4/8 - w**3/18 - w. Find f such that b(f) = 0.
-1, 0, 2/11
Suppose i + 2 = 2*l, -14 = -4*l + i - 6. Solve -1/4*g**l - g**2 - 5/4*g - 1/2 = 0 for g.
-2, -1
Find s such that -1/3*s**3 - 2/3*s**2 + 0*s + 0 = 0.
-2, 0
Let s(c) be the first derivative of c**2 + 3 + 2/3*c**3 + 0*c. Factor s(a).
2*a*(a + 1)
Factor 4/7*a**2 + 0*a**4 + 0 + 2/7*a**5 + 0*a - 6/7*a**3.
2*a**2*(a - 1)**2*(a + 2)/7
Let m = -48 - -50. Let i(p) be the first derivative of 2 + 1/4*p**m + 1/4*p + 1/12*p**3. Factor i(f).
(f + 1)**2/4
Let x(m) be the third derivative of m**8/896 - 11*m**7/1680 + m**6/64 - 3*m**5/160 + m**4/96 + 8*m**2. Factor x(j).
j*(j - 1)**3*(3*j - 2)/8
Let k = -21 - -21. Factor 3/2*s**2 - 1/2*s**4 + 0 + k*s**3 + s.
-s*(s - 2)*(s + 1)**2/2
Let a(h) be the third derivative of 3*h**3 + 1/30*h**5 + 0*h + 0 + 1/2*h**4 + 6*h**2. Find w such that a(w) = 0.
-3
Factor -2/5 + 2/5*w**4 + 4/5*w**3 - 4/5*w + 0*w**2.
2*(w - 1)*(w + 1)**3/5
Let s(h) be the second derivative of h**7/4620 - h**6/660 + h**5/330 + h**3/3 - 3*h. Let q(x) be the second derivative of s(x). Factor q(c).
2*c*(c - 2)*(c - 1)/11
Factor 10/7*x**2 + 0 + 2/7*x**4 + 8/7*x**3 + 4/7*x.
2*x*(x + 1)**2*(x + 2)/7
What is z in -20*z**2 + 15*z**5 + 19*z - 90*z**3 - 74*z + 130*z - 20 + 40*z**4 = 0?
-4, -1, 1/3, 1
Solve 0*w**2 + 0 + 10/19*w**4 + 2/19*w**5 + 0*w + 12/19*w**3 = 0 for w.
-3, -2, 0
Let p(n) be the first derivative of n**3/3 + n**2/2 - 2*n - 2. Let h be p(-3). Determine b so that h*b**2 - b**2 - b - 2*b**2 = 0.
0, 1
Let o(h) = h**3 - 5*h**2 - h + 7. Let q be o(5). Let c(b) be the second derivative of -1/60*b**4 + q*b + 0 - 1/15*b**3 - 1/10*b**2. What is y in c(y) = 0?
-1
Let s(n) be the second derivative of 5*n + 1/30*n**4 + 4/5*n**2 + 4/15*n**3 + 0. Suppose s(b) = 0. Calculate b.
-2
Let c(p) = -p**2 - 7*p - 4. Let s(v) = -1. Let g(x) = c(x) + 6*s(x). Let h be g(-5). Factor -2/7*d + 2/7*d**2 + h.
2*d*(d - 1)/7
Let g(m) be the third derivative of m**7/280 - m**6/60 + m**5/40 + 2*m**3/3 + 4*m**2. Let u(t) be the first derivative of g(t). Find y, given that u(y) = 0.
0, 1
Let x be ((-2)/(-15))/((-4)/(-6)). Let l(f) be the second derivative of 0 + 1/15*f**6 + 1/6*f**4 + 0*f**3 + 2*f + 0*f**2 + x*f**5. Factor l(m).
2*m**2*(m + 1)**2
Let h be ((-2)/4*0)/(-2 - -1). Factor 0*w + 1/2*w**4 + 0 + h*w**2 - 1/2*w**3.
w**3*(w - 1)/2
Let j be 2/24 + 3/12. Let w(h) be the third derivative of 0*h - j*h**3 - 2*h**2 + 0*h**4 + 1/30*h**5 + 0. Factor w(z).
2*(z - 1)*(z + 1)
Suppose -5*z - 7 = -2*i - 1, -3*i = -5*z - 14. Suppose -4*c + 9 = j, -2*j + 3*c + i = c. Factor 2*k**4 + j*k - 4*k - k**5 + 0*k**2 - 2*k**2.
-k*(k - 1)**3*(k + 1)
Let v(b) = -b**3 + 3*b**2 - 2*b + 3. Let z be v(2). Let l(a) be the first derivative of 5/6*a**2 - 1 + 2/9*a**z + 2/3*a. Factor l(i).
(i + 2)*(2*i + 1)/3
Let i = -1443/476 + 7/68. Let s = 45/14 + i. Let 0 + 0*y**2 - s*y**3 + 2/7*y = 0. What is y?
-1, 0, 1
Let n(o) be the first derivative of o**6/3 - 4*o**5/5 + 4*o**3/3 - o**2 + 7. Suppose n(l) = 0. What is l?
-1, 0, 1
Let n(q) be the third derivative of -1/9*q**3 + 11/72*q**4 + 6*q**2 + 0*q + 2/315*q**7 - 1/15*q**5 + 0 - 1/360*q**6. Factor n(i).
(i - 1)**2*(i + 2)*(4*i - 1)/3
Let w(k) be the second derivative of 0 + 0*k**2 + 1/105*k**6 + 1/147*k**7 - 1/70*k**5 - 3*k - 1/42*k**4 + 0*k**3. Let w(s) = 0. Calculate s.
-1, 0, 1
Let h(q) = -3*q**2 + 9*q + 2. Let c(v) = -v**2 + 2*v + 1. Let z(f) = 4*c(f) - h(f). Factor z(r).
-(r - 1)*(r + 2)
Let r(p) be the second derivative of p**6/180 + p**5/40 + p**4/72 - p**3/12 - p**2/6 + 10*p. Suppose r(u) = 0. Calculate u.
-2, -1, 1
Solve 1/3 + 0*s**2 + 1/6*s**3 - 1/2*s = 0 for s.
-2, 1
Let k(p) = -7*p**2 - p - 2. Let z(j) = 6*j**2 + 2. Suppose 5*b - 5 = -4*v, 3*v = -4*b + 2 + 3. Let u(s) = b*z(s) + 4*k(s). Factor u(n).
2*(n - 1)**2
Let r(s) = 8*s**4 - 8*s**3 + 16*s**2 - 8*s - 4. Let k(t) = -9*t**4 + 7*t**3 - 17*t**2 + 9*t + 5. Let d(n) = -4*k(n) - 5*r(n). Factor d(b).
-4*b*(b - 1)**3
Let i(y) be the second derivative of -6*y - 5/4*y**4 + 27/2*y**2 - 3/2*y**3 + 0 - 3/20*y**5. Factor i(v).
-3*(v - 1)*(v + 3)**2
Let h = 7 + -4. Let w be 2 - (2 - h)*2. Suppose 3*u**5 + 0*u**4 - u**4 - w*u**5 = 0. What is u?
-1, 0
What is l in -3/2*l**2 + 6*l + 0 = 0?
0, 4
Let r(u) = -u**3 - 7*u**2 - 6*u + 4. Let x be r(-6). Suppose -x*g = g. Factor -2/7*t**2 + 2/7*t + g.
-2*t*(t - 1)/7
Suppose -2*x = -x - 3. Let n(p) be the first derivative of -2/15*p**x + 1/5*p**2 + 4/5*p - 3. Factor n(c).
-2*(c - 2)*(c + 1)/5
Suppose -7*i + 8 = -3*i. Solve -2*v**i - 4*v - 4*v + 2 - 10 = 0.
-2
Let l(u) be the first derivative of 2*u**5/3 - 11*u**4/3 + 2*u**3/3 + 22*u**2/3 - 16*u/3 - 39. Determine o so that l(o) = 0.
-1, 2/5, 1, 4
Let q = 232 - 229. Suppose 0 + 11/2*m**4 - 3*m**q + 5*m**5 - 5/2*m**2 + m = 0. Calculate m.
-1, 0, 2/5, 1/2
Let x(u) = -1 - 4*u**2 - 5*u + 10*u - 2 + u**3. Let q be x(3). Determine s, given that 0*s**3 - 2*s**2 + s**2 - s**q = 0.
-1, 0
Let b(g) be the third derivative of -g**5/60 + g**4/24 - g**3/6 + g**2. Let d(q) = -q + 2. Let h(x) = 2*b(x) + 2*d(x). Suppose h(c) = 0. Calculate c.
-1, 1
Let b(k) be the first derivative of 2*k**4/11 - 10*k**3/33 + k**2/11 - 28. Determine x, given that b(x) = 0.
0, 1/4, 1
Suppose -2*b + 2 = 4*t - b, -t - 5*b + 10 = 0. Factor -2/3*x + 2/3*x**3 + t*x**2 + 0.
2*x*(x - 1)*(x + 1)/3
Let m(g) be the first derivative of g**7/105 + g**6/20 + g**5/30 - g**4/4 - 2*g**3/3 - g**2 - 3. Let v(n) be the second derivative of m(n). Factor v(z).
2*(z - 1)*(z + 1)**2*(z + 2)
Factor -7 - 8*g**2 + 3*g**2 + 3*g + 13 + 2*g**2.
-3*(g - 2)*(g + 1)
Let g(q) be the second derivative of 0*q**2 + 3*q + 0*q**4 + 3/20*q**5 + 0 - 1/2*q**3. Factor g(p).
3*p*(p - 1)*(p + 1)
Let k(r) be the second derivative of -r**7/21 - 7*r**6/15 - 19*r**5/10 - 25*r**4/6 - 16*r**3/3 - 4*r**2 + r. Factor k(x).
-2*(x + 1)**3*(x + 2)**2
Let y(u) = -2*u**3 + 27*u**2 - 14*u + 16. Let v be y(13). Factor 0*r - 24/11*r**4 + 14/11*r**5 + 0 + 4/11*r**2 + 6/11*r**v.
2*r**2*(r - 1)**2*(7*r + 2)/11
Let z be 5/2*(-56)/(-490). Let h(t) be the first derivative of 1/7*t**4 + 0*t**3 - 2 - 2/35*t**5 - z*t**2 + 2/7*t. Factor h(a).
-2*(a - 1)**3*(a + 1)/7
Suppose 9 + 3*f**3 - 15*f - 4*f**3 + 3*f**2 + 4*f**3 = 0. What is f?
-3, 1
Suppose 2*t = -0*t - 18. Let a be 3/2*(-3)/t. Factor -a - 1/2*f**2 + f.
-(f - 1)**2/2
Let u(j) be the first derivative of j**6/9 + 4*j**5/9 + 2*j**4/3 + 4*j**3/9 + j**2/9 + 31. Find g such that u(g) = 0.
-1, -1/3, 0
Find q, given that -10*q - 9*q**3 - 103*q**4 + 66*q - 47*q**3 + 299*q**4 - 192*q**2 - 4 = 0.
-1, 1/7, 1
Let p = 42 - 42. Factor -8/7*d - 4/7*d**2 + p.
-4*d*(d + 2)/7
Suppose w + 3*w + m - 13 = 0, -m = -3*w + 15. Determine z so that 12 - 2*z**2 + 2 + w*z**2 + 4 + 12*z = 0.
-3
Let l = -13 + -7. Let q be l/(-30)*2/3. Fi