of 1/360*f**6 + 0*f**2 + 2*f + 1/60*f**5 - 1/6*f**3 + 0*f**4 + 0. Let x(s) be the second derivative of t(s). Factor x(h).
h*(h + 2)
Factor 33*j**2 + 15 + 27*j + 22*j + 9*j**3 - 10*j.
3*(j + 1)**2*(3*j + 5)
Let w be 24/60*(2 - (-3)/(-6)). Determine x so that -3/5*x**3 + 0 + 0*x**2 + w*x = 0.
-1, 0, 1
Let v(p) = -5*p**2 - 3*p - 19. Let k(w) = -3*w**2 - 2*w - 10. Let x(z) = 11*k(z) - 6*v(z). Let x(t) = 0. What is t?
-2, 2/3
Let v(p) be the first derivative of 2*p**3/33 + 7*p**2/11 + 20*p/11 + 28. What is g in v(g) = 0?
-5, -2
Let w(j) = -10*j**3 - 20*j**2 - 25*j. Let p(d) = -11*d**3 - 20*d**2 - 26*d. Let q(x) = 5*p(x) - 6*w(x). Solve q(v) = 0 for v.
-2, 0
Let u be 4/(-12) - 2/(-6). Suppose -5*a + y + 20 = u, 2*y + y + 27 = 4*a. Solve 0 + 0*v + 0*v**2 - 2/3*v**a = 0 for v.
0
Let a = -1/319 + 949/200970. Let b(r) be the third derivative of 2/9*r**3 + 0*r + 0 - 1/90*r**6 + 1/18*r**4 - a*r**7 + 2*r**2 - 1/60*r**5. Factor b(j).
-(j - 1)*(j + 1)*(j + 2)**2/3
Let p be 12/(-10)*(-2144)/(-24). Let c = 108 + p. Suppose c*q + 2/5*q**4 + 0*q**2 - 4/5*q**3 - 2/5 = 0. What is q?
-1, 1
Suppose -5*u = -3*d - 14, -d - d + 16 = 3*u. Let w(o) be the first derivative of -3 - 1/6*o**u + 0*o + 0*o**2 + 2/9*o**3. Suppose w(t) = 0. What is t?
0, 1
Let n = -4/3 - -26/15. Let a(r) = 2*r - 6. Let s be a(5). Factor -2/5*i**s - 12/5*i**2 - n - 8/5*i**3 - 8/5*i.
-2*(i + 1)**4/5
Let i(p) be the second derivative of p**4/30 + p**3/3 + 4*p**2/5 + 28*p. Factor i(m).
2*(m + 1)*(m + 4)/5
Let o(f) = -f**5 - f**4 + f**2 - f. Let h(u) = -7*u**5 - u**4 - 10*u**3 + 16*u**2 - 11*u + 1. Let z = 2 + -8. Let w(x) = z*o(x) + h(x). Factor w(a).
-(a - 1)**5
Let j = -2/157 + 163/471. Factor 0 + j*u**2 + 2/3*u.
u*(u + 2)/3
Let l(b) = 9*b + 200. Let d be l(-22). Find o, given that 6/7*o**d + 0*o**3 + 0 + 4/7*o - 2/7*o**4 = 0.
-1, 0, 2
Let p(k) be the first derivative of -5*k**4/16 - 5*k**3/4 - 15*k**2/8 - 5*k/4 - 9. Factor p(f).
-5*(f + 1)**3/4
Factor -1/3*w**2 + 1/6*w + 0 + 1/6*w**3.
w*(w - 1)**2/6
Let p(n) be the first derivative of -4*n**6/57 - 2*n**5/5 - 31*n**4/38 - 2*n**3/3 - n**2/19 + 4*n/19 - 6. Suppose p(k) = 0. What is k?
-2, -1, 1/4
Let w(n) be the first derivative of -n**8/8400 + n**7/1050 - n**6/300 + n**5/150 - n**4/120 + n**3 - 7. Let c(u) be the third derivative of w(u). Factor c(j).
-(j - 1)**4/5
Let m(b) be the second derivative of 5*b**7/42 + b**6/2 + 3*b**5/4 + 5*b**4/12 - 16*b. Factor m(u).
5*u**2*(u + 1)**3
Let u = 275 - 273. Factor 0 - 1/2*c**u - 1/2*c.
-c*(c + 1)/2
Factor 400*f + 4/3*f**3 + 40*f**2 + 4000/3.
4*(f + 10)**3/3
Suppose 0 = -3*m + 4*m. Let a(n) be the second derivative of m - 1/12*n**4 + 2*n + 0*n**3 + 0*n**2. Factor a(j).
-j**2
Let f be 30/115*(-1)/(-4). Let w = 107/230 - f. Find b such that 6/5*b + 6/5*b**2 + w*b**3 + 2/5 = 0.
-1
Suppose 4*d = 15 + 5. Factor 3*y**d + 3*y**3 - 2 + 2 + 6*y**4 + 0.
3*y**3*(y + 1)**2
Suppose 3*f + 3 = 9. Suppose 3*h**f + 0*h - 2*h - 4*h**2 = 0. What is h?
-2, 0
Find r, given that -192*r - 48*r**2 - r**3 + 40 - 328 + 32 - 3*r**3 = 0.
-4
Let k(f) be the second derivative of f**9/5040 + 3*f**8/2240 + f**7/280 + f**6/240 + 2*f**4/3 - 7*f. Let s(z) be the third derivative of k(z). Factor s(x).
3*x*(x + 1)**3
Let y(z) = z - 8. Let h be y(8). Factor 0*k**2 - 2*k + k**2 + 1 + h*k**2.
(k - 1)**2
Let r(m) = m - 4. Let w be r(8). Find v, given that -10*v**3 + 3*v**5 - 8*v**w - 4*v**2 + 3*v**5 - 3*v**5 - 5*v**5 = 0.
-2, -1, 0
Let w(x) be the second derivative of x**5/10 + x**4/6 + 14*x. Factor w(h).
2*h**2*(h + 1)
Let o = 6397/30 - 213. Let h(n) be the third derivative of 0*n**3 - 1/6*n**4 - 1/12*n**6 + 0*n + o*n**5 + n**2 + 0. Find l, given that h(l) = 0.
0, 2/5, 1
Let p(d) = -2*d**2 + 0*d**2 - 5*d + 4*d**2 - 5*d**3 - 6. Let x(l) = -l**3 - l - 1. Let y be 1*(0 + (-1)/1). Let w(t) = y*p(t) + 6*x(t). Factor w(z).
-z*(z + 1)**2
Let z(s) = s**3 + 3*s**2 - 1. Let h be z(-2). Let m be (h/2)/(12/16). Factor 2/3 - t + 1/3*t**m.
(t - 2)*(t - 1)/3
Suppose 3*p = 4*c + 7, -4*c - 2*p = -4 - 14. Find y, given that 2*y**3 + y**3 - 4*y**2 - c - 2*y**3 + 5*y = 0.
1, 2
Let m(z) = -z + 11. Let p be m(9). Factor 4*a**5 - a + a**3 + p*a**4 + a**4 - a - 3*a**5 - 3*a**2.
a*(a - 1)*(a + 1)**2*(a + 2)
Let k be -12*(0 - -1)/(-4). Let z(i) be the second derivative of 0 + 0*i**6 + 3*i + 0*i**4 + 0*i**2 - 1/90*i**5 + 1/189*i**7 + 0*i**k. Factor z(m).
2*m**3*(m - 1)*(m + 1)/9
Let o(a) = -a**3 + 5*a**2 + a. Suppose 0 = 2*l - l - 5. Let m(x) be the first derivative of -x**3 + 3. Let w(r) = l*m(r) + 3*o(r). Factor w(k).
-3*k*(k - 1)*(k + 1)
Let r(c) be the second derivative of 0*c**3 + 5*c - 1/10*c**6 + 0*c**2 - 1/4*c**4 - 3/10*c**5 + 0. Suppose r(k) = 0. Calculate k.
-1, 0
Solve -1/3*y**3 - 5/3*y**2 - 2/3*y + 8/3 = 0.
-4, -2, 1
Let n(u) be the first derivative of u**4 - 28*u**3/3 + 16*u**2 + 64*u - 7. Find c, given that n(c) = 0.
-1, 4
Let c be ((-19)/16 - -1) + 3/12. Let q(u) be the first derivative of 1/4*u**3 + c*u**4 + 1 - 1/20*u**5 + 1/2*u - 5/8*u**2. Find i, given that q(i) = 0.
-2, 1
Let r be -1 + 1/240 - -1. Let p(k) be the third derivative of 0*k**7 - 1/96*k**4 - 1/1344*k**8 + 0*k**3 + 0*k + 0*k**5 + r*k**6 + k**2 + 0. Factor p(b).
-b*(b - 1)**2*(b + 1)**2/4
Let d(h) = -h**4 + h**3 - h**2 - h. Let b(a) = -3*a**4 + 5*a**3 - 7*a**2 - 5*a. Let m(f) = -b(f) + 5*d(f). Factor m(y).
-2*y**2*(y - 1)*(y + 1)
Let l(c) be the first derivative of c**6/30 + c**5/25 - c**4/10 - 2*c**3/15 + c**2/10 + c/5 + 9. Factor l(b).
(b - 1)**2*(b + 1)**3/5
Let b = -15 - -18. Factor b*f**3 - 3 - 9*f - 5*f**3 - 9*f**2 - f**3.
-3*(f + 1)**3
Let q(w) be the first derivative of -5*w**7/126 - w**6/12 + w**5/5 - w**4/9 + 4*w**2 - 7. Let f(u) be the second derivative of q(u). Let f(a) = 0. What is a?
-2, 0, 2/5
Let u be (-6)/9 + 92/12 + -2. Suppose 6/5*a**4 - 2*a**u - 6/5*a**2 + 14/5*a**3 + 0 - 4/5*a = 0. Calculate a.
-1, -2/5, 0, 1
Let y(b) = -9*b**2. Let o(h) = 22*h**2. Let g(a) = 5*o(a) + 12*y(a). Find r such that g(r) = 0.
0
Let 1/4*r - r**2 + 3/4*r**3 + 0 = 0. Calculate r.
0, 1/3, 1
Let l(t) be the second derivative of -7*t**4/30 - 4*t**3/5 + 4*t**2/5 + 2*t. Solve l(s) = 0.
-2, 2/7
Let c be 2/(-2) + 3 + 14/(-8). Let t = 5 + -3. Determine u so that 1/4*u**3 - 1/2*u + c*u**5 + 0 + 3/4*u**4 - 3/4*u**t = 0.
-2, -1, 0, 1
Let g(d) be the second derivative of 27/20*d**5 + 9/10*d**6 + 3*d + 3/4*d**4 + 1/6*d**3 + 0 + 0*d**2. Determine b, given that g(b) = 0.
-1/3, 0
Let v = -485 + 485. Factor -1/6*t**3 - 1/6*t + v + 1/3*t**2.
-t*(t - 1)**2/6
Let f(l) = -l**3 + 12*l**2 + 4. Let w be f(12). Factor -1 + 4*u**4 + 54*u**3 - 56*u**3 - 3*u**w + 2*u.
(u - 1)**3*(u + 1)
Let t(h) be the second derivative of -7*h**6/165 - 9*h**5/110 - h**4/33 + 13*h. What is u in t(u) = 0?
-1, -2/7, 0
Let t(f) = -f**2. Let s(w) = -w**2. Let c(v) = 4*s(v) - t(v). Factor c(d).
-3*d**2
Suppose -3*o = -5*o + 6. Let t(w) be the second derivative of -1/8*w**2 + 1/24*w**4 + 0*w**o + 0*w**5 + 0 - 1/120*w**6 + w. What is f in t(f) = 0?
-1, 1
Let w(o) be the first derivative of o**4/4 - o**3/3 - 5. Factor w(v).
v**2*(v - 1)
Let i(c) be the second derivative of -c**5/10 + 7*c**4/6 - 11*c**3/3 + 5*c**2 - 2*c. Factor i(j).
-2*(j - 5)*(j - 1)**2
Let v(b) be the second derivative of -2*b**6/35 - 23*b**5/70 - 13*b**4/21 - b**3/3 + 2*b**2/7 - 4*b. Suppose v(m) = 0. Calculate m.
-2, -1, 1/6
Let h = 4029668602/945 + -4264199. Let k = -1/135 + h. Find d such that k*d**2 + 0*d - 2/7*d**3 + 0 = 0.
0, 2
Let j(i) be the second derivative of -343*i**5/60 + 49*i**4/6 - 14*i**3/3 + 4*i**2/3 - 2*i. Solve j(r) = 0 for r.
2/7
Let k(f) be the second derivative of -2*f**2 + 7/3*f**3 + 3*f + 0 - 5/6*f**4. Factor k(n).
-2*(n - 1)*(5*n - 2)
Determine l so that -134/3*l**3 - 16/3 - 40/3*l**4 + 88/3*l - 20*l**2 = 0.
-2, 1/4, 2/5
Suppose -5*b = -b - 128. Suppose -3*a = -6, 4*f - b = 4*a - 6*a. Suppose -f - c**2 + 7 = 0. Calculate c.
0
Let q(b) be the first derivative of -b**4 - b**3 + b**2/2 - 5. Factor q(c).
-c*(c + 1)*(4*c - 1)
Let z(d) be the first derivative of d**6/21 + 2*d**5/7 + 3*d**4/7 - 8*d**3/21 - 8*d**2/7 + 26. Suppose z(h) = 0. Calculate h.
-2, 0, 1
Let p(l) be the first derivative of -1/3*l**3 + 5 + 0*l - 1/2*l**2. Find m, given that p(m) = 0.
-1, 0
Suppose -2*b - 9 = -b. Let s(v) = -v**2. Let w(f) be the first derivative of 4*f**3 - 3*f + 5. Let