**2 + 8*v + 8. Let c(l) = 6*l**4 - 8*l**3 - 2*l**2 + 8*l + 8. Let x(a) = -3*c(a) + 4*n(a). Solve x(w) = 0.
-1, 2
Suppose 5 = -t + 11. Factor 3*u**2 - 1/2*u**3 + 4 - t*u.
-(u - 2)**3/2
Let r(w) be the second derivative of -w**4/6 + w**3/3 + 2*w**2 + 7*w. Let r(n) = 0. Calculate n.
-1, 2
Let f(b) be the third derivative of b**6/600 - b**5/50 + b**4/10 - 4*b**3/15 - 11*b**2. Factor f(x).
(x - 2)**3/5
Let h(a) be the third derivative of -7*a**5/120 + 5*a**4/48 + a**3/6 + 6*a**2. Suppose h(k) = 0. Calculate k.
-2/7, 1
Let f(c) be the first derivative of 2*c**5/45 - c**4/6 - 2*c**3/9 + 11*c**2/9 - 4*c/3 + 26. Factor f(i).
2*(i - 3)*(i - 1)**2*(i + 2)/9
Factor 7*d**2 + 8*d**3 - 2*d**4 - 4 - 9*d**3 - d**4 + d**5.
(d - 2)**2*(d - 1)*(d + 1)**2
Let z(b) = -b**2 - b - 7. Let k(o) = -1. Let s(r) = -14*k(r) + 2*z(r). Suppose s(y) = 0. Calculate y.
-1, 0
Factor 4*y + 3*y**2 - y + 3 - 4*y + 7*y.
3*(y + 1)**2
Factor -j**4 - 72*j**2 + 2 - 42*j - 11 - 69*j**3 - 14*j**4 + 15*j**3.
-3*(j + 1)**3*(5*j + 3)
Let v be ((-3)/4)/((-5)/(-40)). Let q(k) = -2*k - 9. Let w be q(v). Let -3*r**5 + 5*r**4 + 0*r**2 - r**2 - r**w + 0*r**2 = 0. Calculate r.
-1/3, 0, 1
Let b(l) be the second derivative of l**7/840 - l**5/80 - l**4/48 + l**2/2 + 5*l. Let q(z) be the first derivative of b(z). Factor q(f).
f*(f - 2)*(f + 1)**2/4
Let l(v) be the second derivative of -2*v + 0*v**2 - 1/70*v**5 - 2/21*v**3 - 1/14*v**4 + 0. Find j such that l(j) = 0.
-2, -1, 0
Let v be (-8)/(-18) - 11/(1485/30). Let 2/9*a**4 - 4/9 - 10/9*a + v*a**3 - 2/3*a**2 = 0. What is a?
-1, 2
Suppose -14*x**2 + 0*x - 2*x - 7*x + 17*x**2 = 0. Calculate x.
0, 3
Let d = -1 + 3. Suppose -4/9*l**d - 2/9*l + 0 - 2/9*l**3 = 0. What is l?
-1, 0
Let c be 2 + (-6)/4 + (-11 - -11). What is k in 0 + 0*k**3 + c*k - 1/2*k**5 - k**4 + k**2 = 0?
-1, 0, 1
Find t such that 15 - 21 - 84*t + 12*t**2 - 9*t - 18 = 0.
-1/4, 8
Let t(m) be the first derivative of 4*m**6/3 + 6*m**5/5 - 13*m**4/2 - 34*m**3/3 - 3*m**2 + 4*m + 2. Factor t(j).
2*(j - 2)*(j + 1)**3*(4*j - 1)
Factor -80/3*a + 50/3*a**2 + 32/3.
2*(5*a - 4)**2/3
Suppose 3*l = 5*l - 4. Suppose 2*q = q + l. Solve 0*k**q + 4*k + 0 + k**2 + 4 = 0 for k.
-2
Let c(x) = x**3 + 4*x**2 + 2*x - 1. Let w be c(-3). Factor 17*s**w + 3*s + 30*s + 6 + 10*s**2.
3*(s + 1)*(9*s + 2)
Let p(y) = -16*y**3 + 16*y + 20. Let r(d) = d**3 - d - 1. Let a(g) = p(g) + 20*r(g). What is b in a(b) = 0?
-1, 0, 1
Let j(f) be the third derivative of 0*f - 1/720*f**6 - 1/1260*f**7 + 0*f**3 + f**2 + 1/2016*f**8 + 0 + 1/360*f**5 + 0*f**4. Factor j(y).
y**2*(y - 1)**2*(y + 1)/6
Solve 0*z**3 + 1/2*z**2 - 1/4*z + 1/4*z**5 + 0 - 1/2*z**4 = 0 for z.
-1, 0, 1
Let h be (-35)/(-15) - (0 + 2). Factor 0 - w**2 + h*w + w**4 - 1/3*w**3.
w*(w - 1)*(w + 1)*(3*w - 1)/3
Let w(y) = -7*y**2 + 9*y - 8. Let j(o) = -1 - o + 3*o**2 + 2 - 2*o**2. Let u = -4 - -10. Let a(i) = u*j(i) + w(i). Find v, given that a(v) = 0.
1, 2
Determine j, given that -2426*j**5 + 2431*j**5 + 14*j**4 + 25*j**3 + 16*j**4 = 0.
-5, -1, 0
Factor -80*j + 0 + 77*j + 0 - 3*j**2.
-3*j*(j + 1)
Let k = -2 - -6. Suppose -t = 3*d + k, 4*d + 4 = 2*d. Factor -2*g**3 - 1 + t*g + 1.
-2*g*(g - 1)*(g + 1)
Let u(s) be the first derivative of -1/10*s**2 - 1/5*s + 8 - 1/25*s**5 + 2/15*s**3 + 1/10*s**4 - 1/30*s**6. Factor u(p).
-(p - 1)**2*(p + 1)**3/5
Suppose -15 = -5*k + 20. Suppose 0 = -3*d - 1 + k. Factor -1/2*g**4 - 1/2*g**3 + 1/2*g + 0 + 1/2*g**d.
-g*(g - 1)*(g + 1)**2/2
Let b be ((-18)/8)/((-2)/((-8)/(-3))). Find g, given that -b - 1/3*g**2 - 2*g = 0.
-3
Let h(m) be the first derivative of m**4/54 + m**3/9 + 2*m**2/9 + 4*m + 2. Let q(n) be the first derivative of h(n). Factor q(l).
2*(l + 1)*(l + 2)/9
Let i = 1 - -6. Let b = 9 - i. Factor -1/3*a**3 + 0 - 2/3*a**b - 1/3*a.
-a*(a + 1)**2/3
Solve 4/5*b - 6/5*b**4 + 13/5*b**3 + 0 - 12/5*b**2 + 1/5*b**5 = 0.
0, 1, 2
Solve -8/9*y**2 + 8/9*y**4 + 0 + 0*y**3 + 4/9*y - 4/9*y**5 = 0.
-1, 0, 1
Suppose 3*j = -2*z - 6, -2*j + z + 3 = -j. Let -1/2*q**2 + j - 1/2*q = 0. What is q?
-1, 0
Suppose 5*w + 3*g - 19 = 0, -3*w + 0*g + 2*g = 0. Suppose 8/5*l**w + 8/5*l + 0 - 6/5*l**3 + 2/5*l**5 - 4/5*l**4 = 0. What is l?
-1, 0, 2
Let n(t) be the second derivative of -7*t**6/60 + 19*t**5/40 + t**4/4 + 16*t - 2. Factor n(d).
-d**2*(d - 3)*(7*d + 2)/2
Suppose 0 = b - 3*b. Solve 3 - 1 + b + q - q**2 = 0 for q.
-1, 2
Let p be (-40)/(-45)*(-2)/(-8). Let -2/9*j**4 + 0 - 2/9*j + p*j**3 + 2/9*j**2 = 0. Calculate j.
-1, 0, 1
Suppose 6*b + 110*b**2 + 121*b**2 + 3*b**3 - 240*b**2 = 0. Calculate b.
0, 1, 2
Let t(m) = m**2 + 1. Suppose -2*n = -2*g, 8 = 3*g - 2*n + 7*n. Let a(z) = -4*z**4 - 16*z**3 - 14*z**2 - 8*z + 6. Let y(b) = g*a(b) - 6*t(b). Factor y(h).
-4*h*(h + 1)**2*(h + 2)
Let k(u) be the third derivative of 1/2*u**3 - 4*u**2 + 0*u + 1/8*u**4 - 1/20*u**5 - 1/40*u**6 + 0. Factor k(n).
-3*(n - 1)*(n + 1)**2
Let c = -7 - -11. Suppose s = 2*s - c. Factor 2*g**5 - 3*g**5 + 3*g**5 - s*g**2 - 4*g**3 + 2*g**4 + 2*g + 2.
2*(g - 1)**2*(g + 1)**3
Let y be -1 + (8 - 4) - 3. Let i(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 1/30*x**5 - x + y*x**4. Determine b, given that i(b) = 0.
0
Let d(m) be the first derivative of -2*m**6/9 - 6*m**5/5 - 8*m**4/3 - 28*m**3/9 - 2*m**2 - 2*m/3 + 36. Factor d(g).
-2*(g + 1)**4*(2*g + 1)/3
Factor 1/3*i - 1/3*i**3 + 1/6*i**2 - 1/6*i**4 + 0.
-i*(i - 1)*(i + 1)*(i + 2)/6
Let x(k) be the first derivative of -5 + 2*k**2 + 0*k + 2*k**3 + 1/2*k**4. Factor x(a).
2*a*(a + 1)*(a + 2)
Let h(g) = -11*g**2 - 4*g + 6. Let b(k) = 5*k**2 + 2*k - 3. Let l(w) = 9*b(w) + 4*h(w). Let l(a) = 0. Calculate a.
-3, 1
Let n be (-1 - -4)*12/18. Factor -w**4 - 3 + 1 + w**n + 2 - w**3 + w.
-w*(w - 1)*(w + 1)**2
Let k(x) be the first derivative of x**4/14 + 2*x**3/7 + 3*x**2/7 + 2*x/7 - 12. What is a in k(a) = 0?
-1
Let m(y) be the first derivative of 0*y**2 - 3 + 2/3*y**3 - 2*y. Solve m(t) = 0 for t.
-1, 1
Let o(d) be the first derivative of 2*d**3/39 + 20*d**2/13 + 200*d/13 + 31. Factor o(n).
2*(n + 10)**2/13
Suppose 5*r - 86 = 14. Suppose 2*l + 3*l = g + r, -2*l - g = -1. Factor 26/7*w - 54*w**4 - 132/7*w**2 + 324/7*w**l + 162/7*w**5 - 2/7.
2*(w - 1)*(3*w - 1)**4/7
Let l = 464/1099 + 1/157. Factor -36/7*n**3 - 24/7*n**2 + 0*n - l*n**5 + 0 - 18/7*n**4.
-3*n**2*(n + 2)**3/7
Let t = 4/11 - -3/22. Solve -1/2*y**5 + t*y - y**4 + 0 + y**2 + 0*y**3 = 0.
-1, 0, 1
Let a(f) be the first derivative of -1/10*f**4 + 1 - 4/5*f - f**2 - 8/15*f**3. Factor a(q).
-2*(q + 1)**2*(q + 2)/5
Let i(u) be the third derivative of -3*u**2 + 0*u + 1/1050*u**7 + 0*u**6 + 0*u**4 + 1/30*u**3 - 1/150*u**5 + 0. Suppose i(v) = 0. What is v?
-1, 1
Let g(k) be the second derivative of k**5/80 - k**4/48 - k**3/24 + k**2/8 + 11*k. Factor g(q).
(q - 1)**2*(q + 1)/4
Suppose 0*z + 4 = -2*z. Let q be 22/8 - (-4)/z. Determine w, given that q*w**2 + 3/4*w + 1/4 + 1/4*w**3 = 0.
-1
Suppose -3 = -2*f + f. Factor -17*m + 2*m**3 + 2*m + f*m**4 + 3*m + 7*m**3.
3*m*(m - 1)*(m + 2)**2
Let o be 85/102*(-8)/(-5). Let t(u) be the first derivative of 0*u**2 - 1 + o*u**4 + 7/5*u**5 + 0*u + 1/2*u**6 + 4/9*u**3. Factor t(j).
j**2*(j + 1)*(3*j + 2)**2/3
Let m(a) be the second derivative of 1/3*a**3 + 1/12*a**4 + 0*a**2 + 0 - 3*a. Find c, given that m(c) = 0.
-2, 0
Suppose 4*d = -2*p + p + 15, -5*d + 35 = -2*p. Determine x, given that 2/3*x**4 + 0 + 0*x**3 + 1/3*x**d - 2/3*x**2 - 1/3*x = 0.
-1, 0, 1
Let i(d) = -d**2 - 13*d + 35. Let f(z) = 0*z - 34 + 5*z + 9*z. Let v(g) = 3*f(g) + 2*i(g). Suppose v(u) = 0. Calculate u.
4
Let k(q) = -4*q + 32. Let i be k(8). Let m = -2/27 - -35/108. Suppose i + 9/4*n**3 - 5/4*n**4 + m*n**5 - 7/4*n**2 + 1/2*n = 0. What is n?
0, 1, 2
Let l(a) be the second derivative of -a - 1/10*a**5 - 1/6*a**4 + 1/6*a**3 + 1/42*a**7 + 1/30*a**6 + 0 + 1/2*a**2. Factor l(c).
(c - 1)**2*(c + 1)**3
Suppose 2*n = 4 + 2. Factor -c**2 - 2*c + 5 + 2*c**3 + 0 + n*c**2 - 7.
2*(c - 1)*(c + 1)**2
What is v in 0 - 4/3*v**2 + 4/3*v**4 - 4/3*v + 4/3*v**3 = 0?
-1, 0, 1
Let z be (2 - 21/14)/(2/12). Factor 0 + 1/4*c**z + 0*c + 1/4*c**2.
c**2*(c + 1)/4
Let t(y) = -3*y - 12*y**2 - 2*y**3 + 16*y + 9*y**3 - y**3. Let v(d) = 4*d**3 - 8*d**2 + 9*d. Let i(m) = -5*t(m) + 7*v(m). Solve i(f) = 0.
0, 1
Let r = 11 - 6. Let p(x) be the second derivative of -5/3*x**3 + 2*x + 0 - 1/10*x**r - 2/3*x**4 - 2*x**2. Let p(m) = 0. Wh