e (6 + -5)/((-2)/(-4)). Let b(p) be the third derivative of -5/132*p**4 + 0*p - 2/33*p**3 - 1/660*p**6 + 3*p**y - 2/165*p**5 + 0. Solve b(k) = 0.
-2, -1
Let k(f) be the third derivative of f**6/300 - f**4/20 - 2*f**3/15 - 2*f**2. Factor k(z).
2*(z - 2)*(z + 1)**2/5
Suppose g - 9*g = 0. Let l be (g - 1) + (1 - -3). Factor 40*w**2 + 38/3*w + 4/3 + 42*w**l.
2*(3*w + 1)**2*(7*w + 2)/3
Let n(t) be the second derivative of -t**6/60 + t**5/75 + t**4/12 - 2*t**3/15 - 2*t**2 - 4*t. Let v(i) be the first derivative of n(i). Factor v(z).
-2*(z - 1)*(z + 1)*(5*z - 2)/5
Suppose -s + 11 + 9 = 0. Factor 3 - 13*o**3 - 12*o - 2*o**2 + o**4 + 2*o**4 + s*o**2 + o**3.
3*(o - 1)**4
Let r(c) be the third derivative of c**7/840 + c**6/160 - c**5/60 - 16*c**2. Factor r(w).
w**2*(w - 1)*(w + 4)/4
Let p(q) be the second derivative of q**5/130 + q**4/78 - q**3/39 - q**2/13 + 8*q. Suppose p(d) = 0. What is d?
-1, 1
Let q(w) = 6*w**2 - 9*w + 6. Let b(f) = -5*f**2 + 8*f - 5. Let o(i) = -3*b(i) - 2*q(i). Find p, given that o(p) = 0.
1
Let h(n) be the second derivative of -1/10*n**5 + 0*n**3 + 0*n**2 - 4*n - 1/15*n**6 + 0 + 0*n**4. Suppose h(w) = 0. Calculate w.
-1, 0
Let u(p) be the second derivative of -p**4/30 + 2*p**3/15 + 3*p**2/5 + 6*p + 3. Solve u(n) = 0.
-1, 3
Factor -9/7*z**2 + 6/7 + 15/7*z.
-3*(z - 2)*(3*z + 1)/7
Let v(g) be the third derivative of -1/12*g**4 - 4/105*g**7 - g**2 + 0 - 1/10*g**6 - 2/15*g**5 + 0*g - 1/168*g**8 + 0*g**3. Suppose v(z) = 0. What is z?
-1, 0
Let t(w) be the first derivative of -w**9/2016 - w**8/1120 + w**7/560 + w**6/240 - 5*w**3/3 - 7. Let f(x) be the third derivative of t(x). Solve f(m) = 0.
-1, 0, 1
Let p(a) be the second derivative of a**6/10 + 9*a**5/20 + a**4/4 - 3*a**3/2 - 3*a**2 - 5*a. Factor p(o).
3*(o - 1)*(o + 1)**2*(o + 2)
Let l be (-2)/(-3) - 30/(-9). Solve -3*f - l*f**2 - 6 + 2 - 2 + 13*f**2 = 0 for f.
-2/3, 1
Suppose 1/4*u**3 + 1/2*u**4 + 0*u - 1/2*u**2 + 0 - 1/4*u**5 = 0. Calculate u.
-1, 0, 1, 2
Suppose -2*z - 14 = -4*z. Let d = z + -13/2. Let -1/2*w**2 + w - d = 0. What is w?
1
Factor -2/11*v + 1/11*v**2 + 1/11.
(v - 1)**2/11
Let m(g) be the first derivative of -g**7/2520 - g**6/270 - g**5/90 - g**3/3 + 2. Let j(r) be the third derivative of m(r). Factor j(x).
-x*(x + 2)**2/3
Let s = 17 + -15. Suppose 8*n = s*n. Determine y so that 2/3*y + 2/3*y**2 + n = 0.
-1, 0
Let z(t) be the second derivative of -2*t**7/21 + 2*t**6/5 - 3*t**5/5 + t**4/3 - 26*t. Factor z(i).
-4*i**2*(i - 1)**3
Suppose -9*u + 11*u = 0. Let s(q) be the first derivative of u*q**3 + q**4 + 0*q**5 - 1/3*q**6 - 1 + 0*q - q**2. Suppose s(y) = 0. Calculate y.
-1, 0, 1
Let m(a) = -a**2 - 29*a - 176. Let r be m(-9). Find x, given that 0 - 18/7*x - 8/7*x**r + 4/7*x**3 - 2/7*x**5 + 24/7*x**2 = 0.
-3, 0, 1
Suppose 19 = 9*t + 1. Find s, given that -2/5*s**t - 4/5*s - 2/5 = 0.
-1
Let t = 143 - 136. Let f(b) be the third derivative of -1/9*b**3 - 2/315*b**t - 3*b**2 + 0*b - 5/72*b**4 + 1/60*b**5 + 1/45*b**6 + 0. Solve f(q) = 0 for q.
-1/2, 1, 2
Let r(d) = -15*d**3 - 11*d**2 + 4*d + 11. Let a(v) = 4*v**3 + 3*v**2 - v - 3. Let q(t) = -22*a(t) - 6*r(t). Factor q(n).
2*n*(n - 1)*(n + 1)
Let o be ((-155)/(-124))/((-5)/(-6)). Factor -o*n**2 + 0 + 0*n - 3/2*n**3.
-3*n**2*(n + 1)/2
Suppose 0*a - 12 = -3*a. Suppose 3*x - 17 = a. Find o, given that o**4 + 4*o**2 + o**3 + 2 - 5*o**3 - x*o**4 - 2*o**5 + 6*o = 0.
-1, 1
Let h(f) be the first derivative of 3*f**6/160 + f**5/20 + f**4/24 + 3*f**2/2 + 5. Let s(n) be the second derivative of h(n). Determine l so that s(l) = 0.
-2/3, 0
Let a be (-148)/(-28) - (4 + 1). Solve -a*y**3 + 0 + 4/7*y**2 - 2/7*y = 0.
0, 1
Let s(n) be the third derivative of 1/40*n**6 - 1/8*n**4 - 1/210*n**7 - 1/60*n**5 + 1/3*n**3 - 4*n**2 + 0*n + 0. Suppose s(g) = 0. What is g?
-1, 1, 2
Let x(l) be the first derivative of 2/5*l**2 - 2/5*l - 2/15*l**3 + 1. Solve x(z) = 0 for z.
1
Let s(y) be the first derivative of -2*y**3/3 - 3*y**2/2 + 2*y - 3. Let o(i) = i**2 + i - 1. Let j(c) = 6*o(c) + 2*s(c). Factor j(x).
2*(x - 1)*(x + 1)
Suppose -352*b + 348*b + 8 = 0. Let v(p) be the first derivative of 2*p**b - 2/5*p**5 - 10/3*p**3 + 0*p - 5 + 2*p**4. Suppose v(s) = 0. What is s?
0, 1, 2
Let o = 8 + -12. Let y be (2/(-3))/(o/18). Suppose q**3 + y*q**4 - 2*q**3 - 2*q**4 = 0. What is q?
0, 1
Let x(r) be the first derivative of -r**5/5 - r**4/4 + r**3/3 + r**2/2 + 4. Determine w, given that x(w) = 0.
-1, 0, 1
Let c(o) be the third derivative of -o**7/195 - 19*o**6/780 - o**5/26 - o**4/156 + 2*o**3/39 - 11*o**2. What is s in c(s) = 0?
-1, 2/7
Let o(x) = 8*x**2 + 17*x - 13. Let r(h) = h - 1. Suppose 6*m + 5 = m. Let p(l) = m*o(l) + 5*r(l). Factor p(g).
-4*(g + 2)*(2*g - 1)
Let f(g) = -7*g**3 + 15*g**2 - 10*g + 2. Let y(l) = 29*l**3 - 60*l**2 + 40*l - 9. Let w(o) = 9*f(o) + 2*y(o). Find j, given that w(j) = 0.
0, 1, 2
Find q, given that -4*q**2 + 0 - 8*q - 1 + 1 = 0.
-2, 0
Let x(d) be the first derivative of -d**7/945 - d**6/270 + d**5/270 + d**4/54 + d**2 + 2. Let q(a) be the second derivative of x(a). Solve q(m) = 0 for m.
-2, -1, 0, 1
Suppose 5*q - 47*v + 4 = -51*v, -2*v - 2 = q. Suppose 4/15*w**2 - 2/15*w**3 + q - 2/15*w = 0. Calculate w.
0, 1
Suppose -14*h**3 - 124*h - 28*h**2 + 106*h - h**4 - h**4 - 2*h**2 = 0. Calculate h.
-3, -1, 0
Let l(d) = -d**3 - d. Let n(m) = -2*m**3 + 6*m**2 - 8*m - 6. Let g(b) = 5*l(b) - n(b). Let g(h) = 0. What is h?
-2, -1, 1
Let y(l) = -l**3 - 12*l**2 + 2. Let m be y(-12). Determine b so that 2/7*b**m + 0 + 1/7*b**3 + 0*b = 0.
-2, 0
Let g(y) = -y**2 - 6*y + 7. Let p be g(-7). Suppose p = 3*f + 2*f - 10. Factor -z + 1 + 1/4*z**f.
(z - 2)**2/4
Let q(w) be the second derivative of -w**6/30 - 3*w**5/10 - 2*w**4/3 + w**3 + 9*w**2/2 - 11*w. Factor q(v).
-(v - 1)*(v + 1)*(v + 3)**2
Let n(d) be the third derivative of -d**7/630 - d**6/90 - 7*d**4/24 + d**2. Let o(u) be the second derivative of n(u). Find y such that o(y) = 0.
-2, 0
Let i(h) be the first derivative of -2 - 1/12*h**4 - 1/12*h**3 + 2*h + 3/40*h**5 + 0*h**2. Let c(z) be the first derivative of i(z). Solve c(t) = 0 for t.
-1/3, 0, 1
Let h = 10 + -8. Let z(n) be the second derivative of -n + 0 - 1/40*n**5 + 1/48*n**4 + 1/12*n**3 - 1/8*n**h. Find x, given that z(x) = 0.
-1, 1/2, 1
Factor 0 + 0*s + 2/3*s**5 + 0*s**2 - 2/3*s**3 + 0*s**4.
2*s**3*(s - 1)*(s + 1)/3
Solve -5 - 1/2*u**2 + 7/2*u = 0.
2, 5
Factor -5/4*b**2 + 15/2*b - 25/4.
-5*(b - 5)*(b - 1)/4
Let a = 9/82 + 575/738. Factor -14/9*w**2 + a + 8/3*w.
-2*(w - 2)*(7*w + 2)/9
Let y(q) be the third derivative of -2*q**5/15 - q**4/36 + q**3/18 - 38*q**2. Factor y(z).
-(4*z + 1)*(6*z - 1)/3
Let y(a) be the third derivative of a**9/6048 + a**8/840 + a**7/420 + a**3/2 - 5*a**2. Let c(v) be the first derivative of y(v). Factor c(p).
p**3*(p + 2)**2/2
Let g(p) be the second derivative of -2*p**6/45 + 2*p**5/15 - 4*p**3/9 + 2*p**2/3 - 30*p. Suppose g(n) = 0. What is n?
-1, 1
Let p(o) = o**2 + 7*o + 6. Let t(m) = -m**2 - m - 6. Let q be t(0). Let l be p(q). Solve l + 0*v + 2/11*v**2 = 0.
0
Let d(y) = 5*y**5 - 12*y**4 + y**3 - y**2 + 21*y + 13. Let o(q) = q**5 - 3*q**4 + 5*q + 3. Suppose 0 = 3*s - 2*s - 9. Let n(c) = s*o(c) - 2*d(c). Factor n(f).
-(f - 1)*(f + 1)**4
Let d(i) = 3*i - 4. Let s(k) = 4*k - 4. Let l(r) = -5*d(r) + 4*s(r). Let w be l(-2). Factor 0*j**3 - j**3 - j**4 - j + j**2 + w*j.
-j*(j - 1)*(j + 1)**2
Let r(w) be the second derivative of 1/4*w**4 + 0 + 0*w**2 + w**3 - 2*w. Solve r(i) = 0 for i.
-2, 0
Let f(z) be the first derivative of 2*z**6/3 + 8*z**5/5 - z**4 - 8*z**3/3 - 6. Let f(v) = 0. What is v?
-2, -1, 0, 1
Let r(o) be the second derivative of -7*o**6/120 + 9*o**5/80 - o**4/24 + 15*o. Factor r(l).
-l**2*(l - 1)*(7*l - 2)/4
Let d(t) be the third derivative of 0*t + 2/135*t**6 + 0 + 1/54*t**4 - t**2 - 1/315*t**7 - 7/270*t**5 + 0*t**3. Let d(g) = 0. Calculate g.
0, 2/3, 1
Factor -1/2*p + 1/4*p**2 - 3/4.
(p - 3)*(p + 1)/4
Suppose r = 4*r - 9. Suppose i = -4*k + 3*i, -k - r*i = -14. Factor -k*y + y**5 - y**3 + 2*y.
y**3*(y - 1)*(y + 1)
Factor -1/5*y + 2/5*y**4 + 1/5*y**5 - 2/5*y**2 + 0*y**3 + 0.
y*(y - 1)*(y + 1)**3/5
Let k be (-70)/(-63)*(-12)/(-20). Factor 0 + 1/3*y**4 - 1/3*y**3 - k*y**2 + 0*y.
y**2*(y - 2)*(y + 1)/3
Let l be 5 + (476/(-170) - (-1)/(-5)). Suppose 4/5*k**4 - 4/5*k**l + 2/5*k + 0 + 0*k**3 - 2/5*k**5 = 0.