 = 0?
-2/3, 0, 3
Let y(j) = j**3 - j**2 + 1. Let w(d) = -d**3 - 8*d**2 - 3*d + 2. Let u(x) = -w(x) + 2*y(x). Factor u(h).
3*h*(h + 1)**2
Factor -6/5 - 2*c - 2/15*c**3 - 14/15*c**2.
-2*(c + 1)*(c + 3)**2/15
Let o(b) be the first derivative of -2*b**5/35 + b**4/7 - 2*b**2/7 + 2*b/7 - 20. Factor o(h).
-2*(h - 1)**3*(h + 1)/7
Let b(i) be the second derivative of -2/3*i**2 - 1/36*i**4 + 2*i - 2/9*i**3 + 0. Find c, given that b(c) = 0.
-2
Factor 0*v + 1/5*v**4 + 0 + 2/5*v**3 + 1/5*v**2.
v**2*(v + 1)**2/5
Solve 11*o**2 - 12 - o**2 + 5*o + 2 - 5*o**2 = 0 for o.
-2, 1
Let x(d) be the first derivative of -d**5/5 + d**4 - 5*d**3/3 + d**2 + 19. Suppose x(p) = 0. Calculate p.
0, 1, 2
Let o(s) be the first derivative of -s**3/3 - 3*s**2/2 - 5. Factor o(t).
-t*(t + 3)
Let g(p) be the third derivative of 0*p**4 + 0 - 1/30*p**6 + 0*p + 0*p**5 - 4/105*p**7 - 2*p**2 + 0*p**3 - 1/84*p**8. Factor g(w).
-4*w**3*(w + 1)**2
Let k(d) be the third derivative of -2*d**2 + 1/20*d**5 - 1/8*d**4 + 0*d + 0 + 0*d**3 + 1/40*d**6 - 1/70*d**7. Let k(n) = 0. Calculate n.
-1, 0, 1
Suppose 0 = -0*i + i - 3*o - 15, -3*i - 3 = 3*o. Factor -3 - 2*q - i*q**2 - 2 + 8*q + 2.
-3*(q - 1)**2
Let u(q) be the second derivative of 0 - 1/60*q**5 + 0*q**3 + 2*q - q**2 - 1/24*q**4. Let k(m) be the first derivative of u(m). Determine z so that k(z) = 0.
-1, 0
Let z(j) be the first derivative of -1/16*j**4 + 0*j**2 - 1/20*j**5 - 2 + 1/24*j**6 + 0*j + 1/12*j**3. Factor z(l).
l**2*(l - 1)**2*(l + 1)/4
Suppose -1 = -3*u + 2. Let a be 0 + 0 + 4/u. Factor -6 - 2*y + 5 + a*y - y**2.
-(y - 1)**2
Let q(m) = 2*m**2 + 4*m + 2. Let z = -8 + 5. Let d be q(z). Factor 6*h + 18 - 2*h + 2*h**2 + d*h.
2*(h + 3)**2
Let k(m) be the third derivative of -1/4*m**5 - 1/2*m**3 + 0*m - 3/80*m**6 + 0 - 9/16*m**4 + 4*m**2. Factor k(l).
-3*(l + 1)*(l + 2)*(3*l + 1)/2
Let a(d) = -7*d**2 - 2*d - 3. Let s(y) = 15*y**2 + 3*y + 6. Let f(b) = 9*a(b) + 4*s(b). Suppose f(r) = 0. Calculate r.
-1
Let g(i) be the third derivative of -1/105*i**7 + 1/9*i**3 + 1/45*i**5 - 1/12*i**4 + 1/90*i**6 + 0*i + 1/504*i**8 + i**2 + 0. Factor g(t).
2*(t - 1)**4*(t + 1)/3
Find s, given that -11*s**3 - 5*s**5 - 18*s**4 + 6 + 16*s**2 - 7*s**3 - 4*s**4 + 23*s = 0.
-3, -1, -2/5, 1
Let c(d) be the third derivative of 0*d**3 + 1/30*d**6 + 0 - 1/6*d**4 - 4/15*d**5 + 0*d + 8*d**2 + 8/105*d**7. Factor c(i).
4*i*(i - 1)*(i + 1)*(4*i + 1)
Let g be (-2)/36*9/(-15)*1. Let l(n) be the second derivative of 1/5*n**2 + 1/50*n**5 - 1/15*n**3 + 0 - 3*n - g*n**4. Factor l(u).
2*(u - 1)**2*(u + 1)/5
Let p(m) = -m + 9. Let t be p(7). Let l(o) be the third derivative of 1/24*o**4 + 0 + 0*o + t*o**2 + 1/60*o**5 + 0*o**3. Factor l(j).
j*(j + 1)
Factor -13*t**3 + 4 + t**2 - 15*t**2 - 22*t**3 + 11*t**3 + 14*t.
-2*(t + 1)*(3*t - 2)*(4*t + 1)
Let u(r) be the second derivative of 0*r**2 + 1/40*r**5 + 1/12*r**4 + 1/12*r**3 + 6*r + 0. Factor u(o).
o*(o + 1)**2/2
Let g(z) = 25*z**3 - z**2 - 104*z + 80. Let j(t) = 3*t**3 - 13*t + 10. Let f(q) = 6*g(q) - 51*j(q). Factor f(v).
-3*(v - 2)*(v - 1)*(v + 5)
Determine q, given that -1/3*q**3 + 0*q + 0 + 0*q**2 - 1/3*q**4 = 0.
-1, 0
What is d in -18*d**5 - 15*d - 95*d + 132*d**3 - 3*d**5 + 15*d**4 - 48 - 48*d**2 - 82*d = 0?
-2, -1, -2/7, 2
Let z(s) be the second derivative of s**5/40 + s**4/8 - s**3/12 - 3*s**2/4 + 13*s. What is j in z(j) = 0?
-3, -1, 1
Let i(q) be the third derivative of -q**7/630 + q**6/360 + q**5/60 - q**4/72 - q**3/9 - 5*q**2. Factor i(k).
-(k - 2)*(k - 1)*(k + 1)**2/3
Suppose -5*o = -2*o - 6. Let l(w) be the first derivative of -w**3 - o - 1/2*w - 1/2*w**4 - w**2 - 1/10*w**5. Suppose l(m) = 0. Calculate m.
-1
Let z be ((-4)/6)/(12/(-9)) + 0. Factor -z*p**2 + 1/2*p + 1.
-(p - 2)*(p + 1)/2
What is u in -6/5 + 1/5*u**2 - 1/5*u = 0?
-2, 3
Let r = -6 + 9. Factor 9/4*h**2 + 0 + 1/2*h + 5/4*h**4 + r*h**3.
h*(h + 1)**2*(5*h + 2)/4
Suppose 9 = u + 3*a, -6 + 5 = -a. Suppose 0 = -2*y + u. Solve 5*k**4 - 6*k - k**4 - 4*k**2 + 4*k + 2*k**y = 0.
-1, -1/2, 0, 1
Let 29 + 2*z - 62 + 29 + 2*z**2 = 0. Calculate z.
-2, 1
Let a(c) be the first derivative of c**7/1120 - c**6/96 + c**5/20 - c**4/8 + 2*c**3 + 6. Let r(t) be the third derivative of a(t). Factor r(i).
3*(i - 2)**2*(i - 1)/4
Let u be (-4)/((-27)/(-15) + -2). Suppose -u + 5 = -3*a. Solve 3*l**5 - l**5 - 3*l**a - l**4 = 0.
-1, 0
Solve 0*o + 3/7*o**2 - 12/7 = 0.
-2, 2
Suppose 2*u + 3*b = 2*b + 28, u = -3*b + 19. Let m = u + -5. Suppose -6*l - 9*l**3 + 8*l**2 - 3*l**3 + m*l**4 + 4*l - 2*l**5 = 0. What is l?
0, 1
Let a(i) be the first derivative of i**4 - 4*i**3 + 6*i**2 - 4*i - 14. Factor a(c).
4*(c - 1)**3
Let d(s) be the second derivative of s**6/105 - s**5/70 - s**4/21 + s. Factor d(q).
2*q**2*(q - 2)*(q + 1)/7
Let u(w) be the third derivative of -w**8/672 + w**7/105 - w**6/60 - w**5/60 + 5*w**4/48 - w**3/6 - 23*w**2. Factor u(n).
-(n - 2)*(n - 1)**3*(n + 1)/2
Let -15*n**4 - 3 + 24*n + 17*n**3 + 15 - 38*n**3 - 3*n**5 + 3*n**2 = 0. Calculate n.
-2, -1, 1
Let i(o) be the first derivative of 2/9*o**3 + 2/9*o**6 + 0*o + 2 + 2/3*o**5 + 0*o**2 + 2/3*o**4. Factor i(d).
2*d**2*(d + 1)**2*(2*d + 1)/3
Let b(g) = -g**3 - 3*g**2. Let r be b(-3). Suppose l - 3*j = -j, 2*l - 3*j = r. Solve -t**2 + l + 0*t + 1/2*t**3 = 0.
0, 2
Let i(l) be the third derivative of -l**8/672 + l**6/240 + 9*l**2. Factor i(y).
-y**3*(y - 1)*(y + 1)/2
Let j(i) be the second derivative of 8*i**7/35 - 7*i**6/5 + 57*i**5/20 - 19*i**4/8 + i**3 - 3*i**2 - 4*i. Let s(n) be the first derivative of j(n). Factor s(w).
3*(w - 2)*(w - 1)*(4*w - 1)**2
Let b(h) be the first derivative of -1/3*h**2 + 1/6*h**4 + 1/3*h - 1/9*h**3 - 4. Factor b(f).
(f - 1)*(f + 1)*(2*f - 1)/3
Let y(u) = 3*u**2 + u + 7. Let n be y(-6). Let r = 771/7 - n. Factor -6/7*o - 2/7 + r*o**2.
2*(o - 1)*(4*o + 1)/7
Let j be (-2)/7 - 104/(-70). Let n = 292 - 289. Find o, given that 12/5*o**2 - j*o**5 + 14/5*o - 16/5*o**4 - 8/5*o**n + 4/5 = 0.
-1, -2/3, 1
Factor 0 + 6/7*n - 4/7*n**2 - 2/7*n**3.
-2*n*(n - 1)*(n + 3)/7
Let y(v) be the first derivative of v**6/20 + v**5/10 - v**4/36 - v**3/9 - v**2 + 2. Let x(w) be the second derivative of y(w). Find i, given that x(i) = 0.
-1, -1/3, 1/3
Let v be (-9)/9*((-16)/(-20))/(-2). Factor 2/5*z**3 + 4/5*z**2 + 0 + v*z.
2*z*(z + 1)**2/5
Let m(h) = -h**4 - 14*h**3 + h**2 + 14*h + 4. Let k(x) = -x**4 + x**3 + x**2 - x - 1. Let j(a) = -4*k(a) - m(a). Determine g, given that j(g) = 0.
-2, -1, 0, 1
Let g(i) be the third derivative of 1/360*i**6 + 3*i**2 - 1/9*i**3 + 1/90*i**5 + 0*i + 0 - 1/72*i**4. Let g(r) = 0. What is r?
-2, -1, 1
Let i be 16/18*(-3 - -6). Let h(a) be the first derivative of -12*a**4 + 0*a**2 - 42/5*a**5 + 49/3*a**6 - i*a**3 - 1 + 0*a. Determine b so that h(b) = 0.
-2/7, 0, 1
Let j(k) be the third derivative of -k**7/210 - k**6/168 + 4*k**5/105 - k**4/42 + 42*k**2. Find t such that j(t) = 0.
-2, 0, 2/7, 1
Let r be 16/36*(-67)/4. Let i = 943/117 + r. Determine u, given that 2/13*u**2 + i*u + 8/13 = 0.
-2
Let g(p) be the first derivative of 1/3*p + 1/3*p**3 + 3 + 1/2*p**2 + 1/12*p**4. Factor g(w).
(w + 1)**3/3
Let c(v) be the second derivative of 3*v + 1/24*v**4 + 0 + 1/12*v**2 + 1/12*v**3 + 1/120*v**5. Suppose c(o) = 0. Calculate o.
-1
Suppose 0 = -10*l + 5*l + 3*x + 19, 7 = 2*l - x. Let k(n) be the first derivative of 1/2*n**l - 1 + 1/2*n + 1/6*n**3. Let k(g) = 0. Calculate g.
-1
Let d(n) = -3*n - 5. Let u be d(-4). Suppose u + 6*w - 3*w**2 - 7 - 3*w = 0. Calculate w.
0, 1
Let i(l) be the first derivative of -28*l**3/3 - 24*l**2 + 16*l - 11. Factor i(t).
-4*(t + 2)*(7*t - 2)
Let f(o) = -7*o**2 - 5*o. Let t(c) = -c**2 + 1. Let n(m) = -5*f(m) + 30*t(m). Factor n(h).
5*(h + 2)*(h + 3)
Let a(c) be the third derivative of c**6/210 - c**4/14 - 4*c**3/21 - 14*c**2. Factor a(o).
4*(o - 2)*(o + 1)**2/7
Let a = 8 - 5. Let p be (a/(-24))/(-1)*2. Factor -1/2*m**3 - p*m**4 + 0 - 1/4*m**2 + 0*m.
-m**2*(m + 1)**2/4
Let s = -4080119/660 + 6182. Let i(y) be the third derivative of -y**2 + 1/132*y**4 - 1/165*y**5 + 0*y + 0 + s*y**6 + 0*y**3. Factor i(o).
2*o*(o - 1)**2/11
Let i(t) = -t**2 + 3. Let q be i(0). Suppose q*b + 1 = 7. What is d in 0*d**3 - 1/2 - 1/2*d**4 + 0*d + d**b = 0?
-1, 1
Let a(k) = k**3 - 3*k**2 + 3*k - 2. Let w be a(2). Let i = 3 + w. Factor 0*u**4 + 2/7*u**5 + 0*u + 0 + 0*u**2 - 2/7*u**i.
2*u**3*(u - 1)*(u 