*3 - 2*z - 6*z**2 + 15*z**2 - 15*z**2.
2*(z - 3)*(z - 1)*(z + 1)
Suppose 5*w - 8 = w. Let 2 - w*p**2 + 4*p**2 - 4 = 0. Calculate p.
-1, 1
Let o(d) be the first derivative of -3*d**2 + 4 - 2*d - 1/4*d**4 - 3/2*d**3. Let q(u) be the first derivative of o(u). Find c such that q(c) = 0.
-2, -1
Let d(w) be the third derivative of 0*w**3 - 1/672*w**8 - 1/40*w**5 + 1/24*w**4 + 0 + 0*w - 1/240*w**6 + 1/140*w**7 - w**2. Find p, given that d(p) = 0.
-1, 0, 1, 2
Let g be (-14)/21 + 28/6. Let d(i) be the first derivative of 8/3*i**3 - 1/2*i**4 - 1 + g*i - 5*i**2. Suppose d(f) = 0. Calculate f.
1, 2
Let p be 4/(-6)*15/(-25). Let -p*g**2 + 0 + 0*g = 0. Calculate g.
0
Let y be (-8)/28 + 2/7. Let s(m) be the third derivative of -1/60*m**6 + 1/24*m**4 + 0 + 0*m**3 + 0*m**5 + y*m**7 - 2*m**2 + 1/336*m**8 + 0*m. Factor s(k).
k*(k - 1)**2*(k + 1)**2
Let b(z) be the first derivative of 0*z**2 + 2/21*z**3 + 1/7*z**4 + 3 + 0*z + 2/35*z**5. Factor b(v).
2*v**2*(v + 1)**2/7
Determine j so that -j**2 - 5468 + 5468 - j**3 = 0.
-1, 0
Let j(g) = -g**3 + g**2 + g + 1. Let k(y) = -6*y**3 + 4*y**2 + 9*y + 7. Let q(s) = 35*j(s) - 5*k(s). Solve q(x) = 0 for x.
0, 1, 2
Let y be 40/25 + 4/10. Let u(d) be the first derivative of -2 + 0*d**3 - 4/25*d**5 + 1/10*d**4 - 8/15*d**6 + 0*d + 0*d**y. Factor u(i).
-2*i**3*(2*i + 1)*(4*i - 1)/5
Suppose 15 = -0*p + 5*p. Let m(r) be the first derivative of -p + 0*r - 1/4*r**2 + 1/4*r**3. Let m(v) = 0. What is v?
0, 2/3
Factor -46*q**2 + 46*q**2 - 3*q**3 - 3*q**5 + 6*q**4.
-3*q**3*(q - 1)**2
Let v = -20 + 24. Suppose -4/3 + 8/3*x**2 + 0*x - 4/3*x**v + 0*x**3 = 0. Calculate x.
-1, 1
Let n = 3 - -2. Let h = n - 2. Determine o, given that -3*o + 2*o**2 + h*o + o**3 + o = 0.
-1, 0
Let r(m) be the third derivative of 0*m - 1/35*m**5 - 1/7*m**4 - 8/21*m**3 - 1/420*m**6 + 0 + 4*m**2. Factor r(q).
-2*(q + 2)**3/7
Let d(j) be the first derivative of j**7/56 + j**6/12 + 7*j**5/80 - j**4/12 - j**3/6 + 3*j - 1. Let f(h) be the first derivative of d(h). Solve f(r) = 0 for r.
-2, -1, 0, 2/3
Suppose k - 12 = -3*k. Find a, given that -6*a**2 - k*a**5 + 2*a**5 + 8*a**2 + 3*a**3 = 0.
-1, 0, 2
Let k(z) be the first derivative of z**4/4 - 2*z**3/3 + z**2/2 - 25. Factor k(c).
c*(c - 1)**2
Let z be ((-8)/6)/(8/(-12)). Let q = z - 0. Factor 4*o - 2*o**q + o - o.
-2*o*(o - 2)
Let v(f) be the first derivative of 0*f**2 - 6/25*f**5 + 0*f - 1 - 2/15*f**6 + 0*f**3 - 1/10*f**4. What is j in v(j) = 0?
-1, -1/2, 0
Let g(n) be the second derivative of -n**7/168 + n**6/30 - n**5/20 - 29*n. What is u in g(u) = 0?
0, 2
Let q(k) be the first derivative of k**4/16 - k**3/12 - 7. What is w in q(w) = 0?
0, 1
Let c(t) be the first derivative of 2*t**2 + t**3 - 1/5*t**5 - 1/2*t**4 - 4*t + 3. Factor c(f).
-(f - 1)**2*(f + 2)**2
Suppose 0 = -3*h - 0*h + 5*n + 21, 3*n + 15 = 3*h. Determine d, given that 4*d + 4*d + 5*d**h - 3*d**2 - 10*d = 0.
0, 1
What is n in -4/3*n + 0*n**2 + 1/3*n**4 + 0 + n**3 = 0?
-2, 0, 1
Let l be 2 + (-3 - 11/(-6)). Let w = -1/3 + l. Factor -w*o**4 + 1/2*o**3 + 1/2*o**2 - 1/2*o**5 + 0 + 0*o.
-o**2*(o - 1)*(o + 1)**2/2
Let w(n) = -24*n**2 + 129*n - 63. Let s(g) = 14*g - 4 - 4 - 3*g**2 + 2*g. Let v(p) = -33*s(p) + 4*w(p). Solve v(q) = 0.
2
Let b = 2 - -2. Let d be (-1 + b - 3)/(-1). Let 2/9*o**4 + 0 + 2/9*o**3 + d*o - 2/9*o**5 - 2/9*o**2 = 0. What is o?
-1, 0, 1
Suppose -3*m - 19 = -5*b + m, 0 = 4*b + 2*m - 10. Factor -2*l**2 - 1 + 2*l - b + 8.
-2*(l - 2)*(l + 1)
Let o = 169 + -1857/11. Solve o*p - 2/11*p**3 - 4/11*p**2 + 4/11 = 0 for p.
-2, -1, 1
Suppose -2/11 - 2/11*y**3 + 2/11*y**2 + 2/11*y = 0. What is y?
-1, 1
Let x(k) be the first derivative of -49*k**5/30 + 21*k**4/4 + 166*k**3/9 - 18*k**2 + 16*k/3 + 11. Find s, given that x(s) = 0.
-2, 2/7, 4
Factor -3*c**2 - 3*c - 9*c - 3*c**3 + 12*c.
-3*c**2*(c + 1)
Let s = 1388/9 + -154. Find j, given that 0 - 2/9*j - s*j**2 = 0.
-1, 0
Let g(h) be the first derivative of 2*h**3/3 - 3*h**2 + 4*h + 2. Let g(o) = 0. Calculate o.
1, 2
Let a(u) be the first derivative of -21*u**4/4 - 16*u**3 - 33*u**2/2 - 6*u + 17. Factor a(s).
-3*(s + 1)**2*(7*s + 2)
What is s in 0 - 11/8*s**3 - 7/8*s**4 - 5/8*s**2 - 1/8*s**5 + 0*s = 0?
-5, -1, 0
Let a(b) be the second derivative of b**7/84 - b**5/40 - 4*b. Find o, given that a(o) = 0.
-1, 0, 1
Let a = -20 - -26. Let y(o) be the first derivative of -1/12*o**a + 1/5*o**5 - 4 + 0*o + 1/4*o**2 - 1/3*o**3 + 0*o**4. Solve y(k) = 0 for k.
-1, 0, 1
Let k(f) be the third derivative of -f**9/181440 + f**7/15120 - 7*f**5/60 + 7*f**2. Let g(s) be the third derivative of k(s). Factor g(t).
-t*(t - 1)*(t + 1)/3
Let z(s) be the first derivative of -1/4*s**4 - 2 + 0*s + 1/5*s**5 - 1/18*s**6 + 0*s**2 + 1/9*s**3. Factor z(j).
-j**2*(j - 1)**3/3
Let 0 - 8/15*p**2 - 2/15*p**3 - 8/15*p = 0. Calculate p.
-2, 0
Suppose 1/3*v**4 - 1/3*v**2 + 1/3*v**5 - 4/3 - 5/3*v**3 + 8/3*v = 0. What is v?
-2, 1
Suppose -2*x + 0*x - 2*s + 1390 = 0, x - 4*s - 680 = 0. Let o = 7626/11 - x. Factor 6/11*g**2 + o*g + 4/11.
2*(g + 2)*(3*g + 1)/11
Let m(z) = 36*z**2. Let s be m(-1). Factor -22*p**3 - s*p**2 - 18*p**4 - 3*p**5 - 16*p**3 - 15*p - p**3 + 3*p.
-3*p*(p + 1)**2*(p + 2)**2
Suppose 23 = 4*c - y, -3*y - 21 = -2*c - 2. Suppose c*v + v + 0*v**2 - 2*v**2 - 4*v = 0. What is v?
0, 1
Let o(x) be the first derivative of 2/15*x**3 + 2 + 0*x + 2/5*x**2. Determine n so that o(n) = 0.
-2, 0
Let u(j) be the third derivative of -j**8/112 + j**7/70 + j**6/20 - 7*j**2. What is g in u(g) = 0?
-1, 0, 2
Find b, given that 8/3 - 4/3*b**2 - 1/6*b**5 - 8/3*b + 4/3*b**3 + 1/6*b**4 = 0.
-2, 1, 2
Let m(q) be the third derivative of -q**6/420 + q**5/42 + q**4/14 - 26*q**2. Factor m(o).
-2*o*(o - 6)*(o + 1)/7
Let u(m) = -3*m**4 + 2*m + 0*m + 1 - m**3 - m**3. Let t(x) = -4*x**4 - 3*x**3 - x**2 + 3*x + 2. Let w = -7 + 10. Let s(g) = w*u(g) - 2*t(g). Factor s(j).
-(j - 1)**2*(j + 1)**2
Let q(a) be the first derivative of -2*a**5/25 - 2*a**4/5 - 8*a**3/15 - 40. Solve q(s) = 0 for s.
-2, 0
Let x(k) be the second derivative of k**6/105 - k**5/35 - k**4/42 + 2*k**3/21 + 2*k. Factor x(j).
2*j*(j - 2)*(j - 1)*(j + 1)/7
Let u(o) = -30 - 7*o**2 - 10*o**3 + 26 + 2*o**4 + 11*o**4. Let h(b) = 9*b**3 + 6 + 6*b**2 - 9*b**4 - 3 - 3*b**4. Let n(z) = -4*h(z) - 3*u(z). Solve n(w) = 0.
-1/3, 0, 1
Suppose -u = u - 4. Let -2*g**2 + 3*g**u - 4 + 3 = 0. What is g?
-1, 1
Let u(p) be the first derivative of 1/14*p**4 - 1/7*p**2 + 3 + 2/21*p**3 - 2/7*p. Factor u(i).
2*(i - 1)*(i + 1)**2/7
Let j(k) be the second derivative of -1/10*k**6 + 1/4*k**4 - 1/2*k**3 + 3/20*k**5 + 0*k**2 + 0 + k. Factor j(y).
-3*y*(y - 1)**2*(y + 1)
Let y(q) be the third derivative of -q**8/504 + q**7/105 - q**6/90 - 6*q**2. Factor y(g).
-2*g**3*(g - 2)*(g - 1)/3
Determine d so that 4/13*d**2 - 6/13*d + 8/13*d**3 - 2/13*d**5 - 4/13*d**4 + 0 = 0.
-3, -1, 0, 1
Let x = -106 - -955/9. Let d(c) be the third derivative of 0*c - 1/90*c**5 - c**2 + 0 - 1/72*c**4 + x*c**3 + 1/360*c**6. Suppose d(o) = 0. Calculate o.
-1, 1, 2
Let p(b) be the second derivative of -b**10/30240 + b**8/3360 - b**6/720 - b**4/6 + b. Let d(w) be the third derivative of p(w). Suppose d(c) = 0. What is c?
-1, 0, 1
Factor -1/6*u**2 - 5/6*u - 1.
-(u + 2)*(u + 3)/6
Let j(r) be the third derivative of r**8/1008 + r**7/315 - r**5/90 - r**4/72 + 11*r**2. What is u in j(u) = 0?
-1, 0, 1
Let q be 4/28 - (148/(-28) + 2). Factor -6/7*k**2 - 8/7 + q*k - 10/7*k**3.
-2*(k - 1)*(k + 2)*(5*k - 2)/7
Let j(a) be the second derivative of -2*a + 1/20*a**4 + 0*a**3 + 0*a**2 + 3/100*a**5 + 0. Factor j(u).
3*u**2*(u + 1)/5
Suppose 3*i + 5*n = -88, -2*i + 3*i + 3*n + 32 = 0. Let p = -9 - i. Factor 4*z**3 - 22*z**2 - 8 - p*z - 8*z**2 + 10*z**4 - 15*z.
2*(z - 2)*(z + 1)**2*(5*z + 2)
Let z(g) = -2*g**3 + g**2 + 2*g + 1. Let p be z(-1). Solve 2*b - b**2 + 2*b - 1 + 3 + 3*b**p = 0.
-1
Factor 14/9*n**2 - 10/9*n**3 - 8/9 + 16/9*n.
-2*(n - 2)*(n + 1)*(5*n - 2)/9
Let f(p) be the third derivative of p**7/105 + p**6/30 - p**4/6 - p**3/3 + 8*p**2. Suppose f(n) = 0. Calculate n.
-1, 1
Let u = 356 + -1779/5. Suppose 0*r**2 + 0 + 0*r - 1/5*r**5 + u*r**3 + 0*r**4 = 0. What is r?
-1, 0, 1
Let h(s) be the first derivative of 2/35*s**5 - 2/7*s**3 - 2 + 1/14*s**4 - 1/7*s**2 + 4/7*s. Factor h(z).
2*(z - 1)**2*(z + 1)*(z + 2)/7
Suppose -y = -3*y + 4. Factor 4*s**2 - 12*s - 4*s**2 +