that w(y) = 0.
-1, 0
Let k = 7 + -1. Suppose -3*b + k = -0*b. Find f, given that -3*f - 2*f - b*f - 2*f**2 + 3*f = 0.
-2, 0
Let y(z) = z**2 - 3*z - 7. Let k be y(6). Suppose k*c + 4 = 13*c. Solve -1/4*t**c - 1/4*t**3 + 1/4*t**4 + 1/4*t + 0 = 0 for t.
-1, 0, 1
Suppose 2*d = 7*d + 30. Let c be 1*-1*(d - -2). Factor -2*b**2 + 0*b**4 - b**c + 3*b**3 + 6*b**4.
b**2*(b + 1)*(5*b - 2)
Let j(y) be the first derivative of -3*y**4/4 - y**3 - 9*y**2/2 + 9*y - 3. Let t(h) = -h**3 - 2*h**2 - 5*h + 5. Let x(r) = -5*j(r) + 9*t(r). Factor x(a).
3*a**2*(2*a - 1)
Let y(m) be the third derivative of m**9/52920 - m**8/23520 - m**4/24 + m**2. Let j(d) be the second derivative of y(d). Determine u, given that j(u) = 0.
0, 1
Let d(w) be the first derivative of 0*w**2 + 1/24*w**6 + 0*w - 1/20*w**5 - 2 + 0*w**4 + 0*w**3. Determine g so that d(g) = 0.
0, 1
Let n(t) be the third derivative of 0*t + 4/3*t**3 - 1/30*t**5 + 0 - 5*t**2 + 0*t**4. Solve n(p) = 0 for p.
-2, 2
Let a(m) = -1. Let i(f) = -f**2 + 2*f - 3. Let y(p) = 44*a(p) - 4*i(p). Factor y(n).
4*(n - 4)*(n + 2)
Factor -18*g - 30*g**3 - 17*g - 5*g**4 - 5*g - 60*g**2.
-5*g*(g + 2)**3
Let r(b) be the first derivative of 12*b**3/7 + 2*b**2/7 + 51. Factor r(u).
4*u*(9*u + 1)/7
Let a(n) be the first derivative of -n**6/480 + n**4/32 + n**3/12 - 2*n**2 + 2. Let r(d) be the second derivative of a(d). Factor r(o).
-(o - 2)*(o + 1)**2/4
Suppose h - 80 = -15*h. Solve -16/3*u**2 - 14/3*u**3 - 3*u - 2/3 - 2*u**4 - 1/3*u**h = 0 for u.
-2, -1
Find k such that 2/13*k**5 + 2/13*k**4 + 0*k**3 + 0 + 0*k + 0*k**2 = 0.
-1, 0
Let g = 603/4 - 150. Solve -g*h**4 + 0*h - 3/4*h**2 + 0 - 3/2*h**3 = 0.
-1, 0
Let a(o) be the first derivative of 0*o - 3/2*o**4 - 1/3*o**6 - 6/5*o**5 - 1 - 2/3*o**3 + 0*o**2. Factor a(z).
-2*z**2*(z + 1)**3
Let b(n) be the third derivative of n**8/560 + n**7/350 - n**6/100 - n**5/50 + n**4/40 + n**3/10 + 4*n**2. Find u, given that b(u) = 0.
-1, 1
Let l(w) = w**3 - 18*w**2 - 21*w + 40. Let x be l(19). Factor 0*s + 0 + 3/2*s**5 - 3/2*s**3 - 3/2*s**4 + 3/2*s**x.
3*s**2*(s - 1)**2*(s + 1)/2
Let w(x) be the first derivative of -x**6/12 + x**5/5 - x**3/3 + x**2/4 + 2. Factor w(j).
-j*(j - 1)**3*(j + 1)/2
Let w(j) = j**2 + j + 3. Let x be w(0). Let u(i) be the second derivative of 1/100*i**5 - i + 0*i**2 + 1/60*i**4 + 0 + 0*i**x. Factor u(l).
l**2*(l + 1)/5
Suppose -5 = -a + 4*i - 13, 0 = 4*a - 3*i - 7. Suppose 9 = 3*z, 0 = -a*d + 6*d - 3*z + 5. Factor r**2 + r + 3 + r - d.
(r + 1)**2
Suppose 5*c + 4*v = 16, 0*c - 4 = -2*c - v. Let b(w) be the first derivative of -1/3*w**6 + 8/3*w**3 + 2 - 3*w**4 - w**2 + c*w + 8/5*w**5. Factor b(o).
-2*o*(o - 1)**4
Let n(b) be the second derivative of b**7/560 - b**6/240 + b**3/3 + 3*b. Let k(z) be the second derivative of n(z). Factor k(d).
3*d**2*(d - 1)/2
Let y(l) be the first derivative of 4*l**3/3 - 5*l**2/2 + 3. Let f(j) = j**2 - j. Let a(c) = -5*f(c) + y(c). Factor a(d).
-d**2
Let s(v) be the third derivative of v**8/84 - 2*v**7/35 + 13*v**6/120 - v**5/10 + v**4/24 - 5*v**2. Factor s(d).
d*(d - 1)**2*(2*d - 1)**2
Let i(o) be the second derivative of 2*o**2 - 3*o + 1/3*o**3 - 1/10*o**5 + 0 - 1/3*o**4. Solve i(c) = 0 for c.
-2, -1, 1
Let c(w) be the second derivative of w**4/2 - w**3/3 - 5*w**2/2 - w. Let o(y) = 5*y**2 - y - 4. Let z(n) = -2*c(n) + 3*o(n). Determine v, given that z(v) = 0.
-1, 2/3
Determine h, given that -1/8*h + 1/8*h**3 + 3/8 - 3/8*h**2 = 0.
-1, 1, 3
Let d be 8/(-6) + (-2)/4. Let a = 5/2 + d. Determine b, given that 2/3 - 4/3*b - a*b**4 + 0*b**2 + 4/3*b**3 = 0.
-1, 1
Let v(q) = -4*q**2 - q + 5. Let d(a) = a - 1. Let w be d(4). Let h(r) = -9*r**2 - 2*r + 11. Let f(l) = w*h(l) - 7*v(l). Find s, given that f(s) = 0.
-2, 1
Suppose -9 = -5*z - 3*m, 4*z - m = -0*z - 3. Let a be -3*(1 - 2) - (-150)/(-54). Factor z + 4/9*c - 2/9*c**2 - a*c**3.
-2*c*(c - 1)*(c + 2)/9
Let n(k) = -5*k**2 + 5*k - 6. Let a be n(3). Let z = -244/7 - a. Suppose -2/7*v**5 + z*v**4 + 0 + 8/7*v**2 - 12/7*v**3 - 2/7*v = 0. What is v?
0, 1
Factor -29*w**2 + 4*w**2 + 5*w**3 + 45 + 15*w - 2*w**3 + 2*w**3.
5*(w - 3)**2*(w + 1)
Let b = -19 + 15. Let t(m) = -m**2 - 3*m + 6. Let s be t(b). Factor -2/7*y + 2/7*y**s + 0.
2*y*(y - 1)/7
Suppose -2*n + 8 = 4*s, -5*s - 7*n + 2*n + 20 = 0. Let p be (0 - s)/(-8 + 6). Factor 2/7*b**2 + p*b + 2/7*b**3 + 0.
2*b**2*(b + 1)/7
Find o, given that 0 - 2/7*o**3 + o**2 - 3/7*o = 0.
0, 1/2, 3
Let r(j) be the first derivative of -25*j**6/21 - 2*j**5 + 2*j**4 - 8*j**3/21 - 10. Determine l, given that r(l) = 0.
-2, 0, 1/5, 2/5
Let h = 0 + 10. Let v = h - 39/4. Determine g, given that 2*g**2 - 3/2*g + v = 0.
1/4, 1/2
Let n(i) = 0*i**3 - i**3 - 2*i + i. Let j(q) = 5*q**3 + 3*q**2 + 7*q + 1. Let s(p) = -j(p) - 4*n(p). Factor s(c).
-(c + 1)**3
Let l(g) be the first derivative of g**5/5 - g**4/4 - 5*g**3/3 - 3*g**2/2 - 51. Find q such that l(q) = 0.
-1, 0, 3
Suppose -2*t = -4*t. Let h(o) = -o + 3. Let n be h(t). Find p, given that p**2 + 0 - 1 + p + 3*p**3 - 4*p**n = 0.
-1, 1
Let v(b) be the third derivative of 0*b**4 - 5*b**2 + 0*b**3 + 0*b - 1/150*b**6 + 2/175*b**7 + 0 - 3/560*b**8 + 0*b**5. Find h such that v(h) = 0.
0, 2/3
Suppose -6*o = -8*o. Suppose 0 = -2*r + 3*u - 4 - 1, -r + 2*u - 4 = o. Factor -1/3*d**r - 1/3 - 2/3*d.
-(d + 1)**2/3
Let z(d) be the second derivative of 1/6*d**4 + 1/2*d**2 + 1/42*d**7 + 1/10*d**5 - 1/10*d**6 + 4*d + 0 - 1/2*d**3. Solve z(q) = 0 for q.
-1, 1
Let q(i) be the first derivative of -i**8/1680 + i**7/420 - i**5/60 + i**4/24 + 2*i**3/3 - 2. Let x(n) be the third derivative of q(n). Factor x(v).
-(v - 1)**3*(v + 1)
Let b(c) = 9*c**2 + 9*c - 6. Let n(i) = 19*i**2 + 18*i - 13. Let z(m) = -13*b(m) + 6*n(m). Find x such that z(x) = 0.
-3, 0
Find k, given that 1/2*k**3 + 4*k**2 + 3 + 13/2*k = 0.
-6, -1
Let t(q) be the second derivative of q**8/84 - 2*q**7/105 - q**6/30 + q**5/15 + 3*q**2 + q. Let k(u) be the first derivative of t(u). What is z in k(z) = 0?
-1, 0, 1
Let y(t) be the first derivative of -t**7/1260 + t**6/270 + 5*t**3/3 + 5. Let q(p) be the third derivative of y(p). Determine a so that q(a) = 0.
0, 2
Let b(m) = -6*m**2 + 20*m + 8. Let w(r) = -2*r**2 + 7*r + 3. Suppose -o = -0*o - 2*s + 10, 2*o = -3*s + 1. Let l(v) = o*b(v) + 11*w(v). Factor l(p).
(p - 1)*(2*p - 1)
Let j(v) = -7*v - 5 - 2*v + 8*v. Let y be j(-7). Solve 2*g**3 + 2*g**y + g**4 - 3*g**3 - 3*g**2 + g = 0.
-1, 0, 1
Let i = -109/35 + 17/5. Factor 0 + 0*o + i*o**2.
2*o**2/7
Let n(x) be the first derivative of -2 + 1/6*x**3 + 1/2*x - 1/2*x**2. Let n(m) = 0. What is m?
1
Factor 0*f**2 - 1/4*f**5 + 1/4*f**3 + 0 + 0*f**4 + 0*f.
-f**3*(f - 1)*(f + 1)/4
Let s = 21 - 17. Factor 30*m**2 - 38*m**3 - 4 + 5*m**s - 2*m + 0*m + 9*m**4.
2*(m - 1)**3*(7*m + 2)
Let k(n) be the first derivative of -n**6/10 + 6*n**5/25 - 3*n**4/20 - 4. Factor k(t).
-3*t**3*(t - 1)**2/5
Let n be 43/2 + 4/8. Suppose 5*q = 2*c - n, -2*c - q = q - 8. Determine h, given that 28*h - c*h**2 - 25*h + 0*h**3 + 3*h**3 = 0.
0, 1
Let m(h) = 6*h**3 - 15*h + 9. Suppose -3 = 3*f + 6. Let j(o) = 7*o**3 - o**2 - 15*o + 9. Let t(g) = f*j(g) + 4*m(g). Factor t(v).
3*(v - 1)**2*(v + 3)
Solve -2/23*w + 6/23*w**2 + 0 + 8/23*w**3 = 0.
-1, 0, 1/4
Factor 4/5 + 2/5*y - 2/5*y**3 - 4/5*y**2.
-2*(y - 1)*(y + 1)*(y + 2)/5
Factor -13/2*k**3 - 9/2*k**2 + 1 - 5/2*k**4 + 1/2*k.
-(k + 1)**3*(5*k - 2)/2
Let n(p) be the third derivative of p**6/180 + p**5/30 - 29*p**2. Let n(z) = 0. What is z?
-3, 0
Let c = -111889/21 - -5329. Let s(o) be the first derivative of 1/21*o**6 - c*o**3 - 2/7*o + 2 - 2/7*o**5 + 5/7*o**4 + 5/7*o**2. Factor s(v).
2*(v - 1)**5/7
Let p(q) = q**5 + 2*q**2 - 3*q. Let j(r) = -r**5 - r**4 - 2*r**2 + 4*r. Let a(h) = -2*j(h) - 3*p(h). Factor a(k).
-k*(k - 1)**3*(k + 1)
Let q = -103 + 311/3. Factor -2/3 - q*v + 2/3*v**3 + 2/3*v**2.
2*(v - 1)*(v + 1)**2/3
Let t(d) = 3*d**4 + 8*d**3 - d**2 - 6*d + 4. Let s(a) = -4*a**4 - 9*a**3 + 5*a - 3. Let r(n) = 4*s(n) + 3*t(n). Factor r(m).
-m*(m + 1)**2*(7*m - 2)
Let y(f) = 3*f**3 + 3*f + 12. Let d(h) = 8*h**3 + 10*h + 35. Let w(m) = 6*d(m) - 17*y(m). Find a, given that w(a) = 0.
-1, 2
Factor 4*d**3 - 5*d**3 + 0*d**3 + 26*d**4 - 25*d**4.
d**3*(d - 1)
Let q be (-1336)/88 - 6/(-33). Let u = q + 17. Factor 1/4*n**u + 1/2*n**3 + 0*n + 1/4*n**4 + 0.
n**2*(n + 1)**2/4
Let f be 0/4*(-1 - 0). Deter