**3*(y - 1)**2/5
Factor -15*d**2 + 13*d**2 + 2*d**5 + d**4 - 7*d**4 + 6*d**3.
2*d**2*(d - 1)**3
Let h(q) be the first derivative of q**4 - 16*q**3/3 + 10*q**2 - 8*q - 9. Let h(r) = 0. Calculate r.
1, 2
Let x be 0*(-2)/(-12)*3. Let l(p) be the second derivative of p**2 + x + 1/6*p**3 + p - 1/12*p**4. Factor l(m).
-(m - 2)*(m + 1)
Let n(r) be the first derivative of -r**4/4 - r**3 - r**2 + 4. Find k, given that n(k) = 0.
-2, -1, 0
Let d(b) = b**3 + b**2 + b. Let g(v) = v**3 + 2*v**2 + 5*v + 2. Let j(h) = 4*d(h) - 2*g(h). Factor j(z).
2*(z - 2)*(z + 1)**2
Suppose 4*y - 4*x - 8 = 0, -6 = -5*y - 4*x + 4. Let 1/3*n**y + 0 - n = 0. Calculate n.
0, 3
Let j(m) be the first derivative of -m**7/21 + m**6/5 - 5*m + 4. Let u(d) be the first derivative of j(d). Factor u(f).
-2*f**4*(f - 3)
Determine g so that 0 - 3/5*g**4 + 3/5*g**3 + 0*g + 0*g**2 = 0.
0, 1
Suppose -3 = -4*c + 5. Find q, given that q**4 - 3*q**2 - 5*q + 1 + c*q**3 - 3 - q**3 = 0.
-1, 2
Let z(k) be the third derivative of -k**5/210 - k**4/84 - k**2. Factor z(h).
-2*h*(h + 1)/7
Suppose -4*x + 14 = 3*r, -2*r + 5*x = -6 - 11. Let v(k) = k**3 + 5*k**2 + 2*k - 3. Let n be v(-4). Factor -a**3 + 0*a**2 - n*a - a**2 + a**4 + r*a.
a*(a - 1)**2*(a + 1)
Let -1 - 15 - 3*r**2 + 48*r - 17*r**2 = 0. Calculate r.
2/5, 2
Suppose -f - 18 = 5*c - 4, -c - f = 6. Let t be -2*c*(-2)/(-28). Let -16/7*x - 10/7*x**2 - t*x**3 - 8/7 = 0. What is x?
-2, -1
Factor -26*i**3 + 51*i**3 - 2*i**2 - 8*i + 8 - 23*i**3.
2*(i - 2)*(i - 1)*(i + 2)
Let h(b) be the first derivative of -b**4/10 + b**2/5 + 11. Find q, given that h(q) = 0.
-1, 0, 1
Let p(d) be the second derivative of -d**5/50 - d**4/60 + d**3/6 - d**2/5 - 9*d. Factor p(m).
-(m - 1)*(m + 2)*(2*m - 1)/5
Let p(m) be the first derivative of -m**6/200 - m**5/300 + m**4/40 + m**3/30 - 3*m**2/2 + 5. Let h(i) be the second derivative of p(i). Factor h(u).
-(u - 1)*(u + 1)*(3*u + 1)/5
Let g(d) be the second derivative of 1/3*d**3 + 0*d**2 + 0*d**4 + 1/21*d**7 + 0*d**6 + 0 - 1/5*d**5 - 3*d. Suppose g(p) = 0. Calculate p.
-1, 0, 1
Let w(f) be the third derivative of -f**6/315 - f**5/84 - f**4/84 + f**3/6 - f**2. Let s(r) be the first derivative of w(r). Solve s(h) = 0.
-1, -1/4
Determine z, given that 0*z + 1/3*z**4 - 2/3*z**2 + 0 + 1/3*z**3 = 0.
-2, 0, 1
Solve 0 + 1/3*b**4 + b + 7/3*b**2 + 5/3*b**3 = 0 for b.
-3, -1, 0
Factor 6 - 27*w**3 - 16*w + w - 48*w**2 + 0*w.
-3*(w + 1)**2*(9*w - 2)
Let z(j) = -j**4 - j**3 - 1. Let i(o) = 8*o**4 - 7*o**3 - 5*o**2 + 10*o + 3. Let x(a) = i(a) + 3*z(a). Find q such that x(q) = 0.
-1, 0, 1, 2
Let r(g) be the first derivative of 4*g**3/45 + g**2/5 + 2*g/15 - 8. Factor r(x).
2*(x + 1)*(2*x + 1)/15
Let b(u) = 2*u**2 + 16*u + 8. Let j(c) = 10*c**2 + 78*c + 40. Let x(m) = 14*b(m) - 3*j(m). Factor x(y).
-2*(y + 1)*(y + 4)
Let g = -222 + 2002/9. Factor 0 + g*b - 2/9*b**2.
-2*b*(b - 2)/9
Factor -890*k**2 - 2*k**4 - k**4 - 12*k**3 + 881*k**2.
-3*k**2*(k + 1)*(k + 3)
Let b = 1 + 1. Let g(z) = -z**3 - 4*z**2 + 5*z + 2. Let f be g(-5). Factor 3*q - 4*q + 0*q**2 - f + q**b.
(q - 2)*(q + 1)
Let k(l) be the second derivative of -l**6/30 + l**5/20 + l**4/4 - 5*l**3/6 + l**2 - 5*l. Let k(f) = 0. What is f?
-2, 1
Factor 2*v**3 - 5*v - 4*v**4 + 5*v**4 + 5*v - 1 - 2*v.
(v - 1)*(v + 1)**3
Determine j so that 150/7 + 6/7*j**2 + 60/7*j = 0.
-5
Suppose 3*t + 15 = 4*j - 0*t, 2*t - 13 = -5*j. Let u be (j/2)/(3/4). Factor 0*f - 9*f**u + 3*f - f.
-f*(9*f - 2)
Let u be (-4)/1 - (-11072)/56. Let j = u - 1338/7. Factor 4/7 - j*y + 8/7*y**3 + 6/7*y**2.
2*(y - 1)*(y + 2)*(4*y - 1)/7
Let j = 32 - 35. Let d be j/3 - (-14)/6. Factor -d*z**3 - 2/3*z + 2*z**2 + 0.
-2*z*(z - 1)*(2*z - 1)/3
Suppose -30 = o - 32. Find x such that -1/3*x**o + 2/3*x - 1/3 = 0.
1
Suppose -4*x + 32 = -0*k + 5*k, -2*k + 4*x - 4 = 0. Let q(l) be the first derivative of 0*l**3 - 4 + l + l**2 - 1/5*l**5 - 1/2*l**k. Let q(u) = 0. What is u?
-1, 1
Let w be ((-2)/6)/(2/(-36)). Factor 3*h**2 + 2*h - w*h + h - 12*h**2.
-3*h*(3*h + 1)
Let s(t) = t**2 + 4*t + 2. Let j be s(-4). Suppose -4*f**j + 2*f**4 + 4*f - 4*f**3 + 4*f**2 + 0*f**3 - 2 = 0. What is f?
-1, 1
Suppose -4*v = -4*w + 12, -5*v + 7*w - 3*w - 11 = 0. Suppose 5 - v = 2*j. Solve 4/3 + 2*y + 2/3*y**j = 0.
-2, -1
Let l be (33/9 + -3)*3. Suppose 0 = -3*h + l*h. Let 0*i + 1/4*i**4 + h*i**3 + 0*i**2 + 0 = 0. What is i?
0
Solve -b - 3/2*b**2 + 0*b**3 + 1/2*b**4 + 0 = 0.
-1, 0, 2
Let f = -817 + 2620/3. Let k = 57 - f. Suppose 2/3*z**4 + 0 + 2*z**2 - k*z - 2*z**3 = 0. What is z?
0, 1
Let o(k) = 5*k**2 + 8. Suppose -2*h + 2 = -6. Let q(f) = 4*f**2 + f + 7. Let d(x) = h*q(x) - 3*o(x). Factor d(w).
(w + 2)**2
Let q = -10247/7 + 1464. Determine l so that -5/7*l**4 + 0*l + q*l**5 + 8/7*l**3 + 0 - 4/7*l**2 = 0.
0, 1, 2
Suppose -2*l - l = -27. Suppose 0 = p + 2*p - l. Let -3*q**2 + 3*q**2 + 2*q**p = 0. What is q?
0
Factor 3*y**2 + 3 - 5 + 0 - y**2.
2*(y - 1)*(y + 1)
Let u(i) = i**2 + 11*i + 4. Let d be u(-11). Factor q**3 - 5*q**4 + 13*q**3 - 4*q**3 - d*q**2 - q**4.
-2*q**2*(q - 1)*(3*q - 2)
Factor 20*i**3 + 6*i**2 + 7*i**2 - 5*i**4 - 28*i**2.
-5*i**2*(i - 3)*(i - 1)
Let b(a) be the first derivative of a**4/78 + 4*a**3/39 + 4*a**2/13 - 5*a - 8. Let d(x) be the first derivative of b(x). Factor d(s).
2*(s + 2)**2/13
Let v = -10 - -14. Let -2*o + o**2 + 6*o**3 + 3*o**2 + v*o**2 - 4 = 0. Calculate o.
-1, 2/3
Let x = 2 + -5. Let y(c) = -4*c**3. Let q(b) = -5*b**3. Let d(s) = x*y(s) + 2*q(s). Let d(h) = 0. What is h?
0
Let v(o) be the first derivative of 0*o**2 + 1/20*o**5 + 0*o - 1/8*o**4 + 1/12*o**3 - 3. Let v(p) = 0. Calculate p.
0, 1
Let h = 16 - 13. Let p be h/15 + 28/60. Solve -2/3 - 2/3*c + 2/3*c**2 + p*c**3 = 0 for c.
-1, 1
Let y(v) be the first derivative of v**5/10 + v**4/6 - v - 1. Let j(z) be the first derivative of y(z). Determine r, given that j(r) = 0.
-1, 0
Determine s so that 155/2*s**2 + 14 - 25/2*s**3 + 68*s = 0.
-2/5, 7
Suppose -2*y + 3*g + 6 = 0, -2*y - 5*g + 4 = -3*y. Let p be (-4)/(-30) - (-4)/y. Factor -6/5*d + p*d**2 + 2/5.
2*(d - 1)*(2*d - 1)/5
Suppose 4/5*b**3 + 0 + 1/5*b**4 + 2/5*b + b**2 = 0. Calculate b.
-2, -1, 0
Let c(q) = 3*q**3 + 15*q**2 + 26*q + 14. Let a(v) = 3*v**3 + 15*v**2 + 27*v + 15. Let o(f) = 2*a(f) - 3*c(f). Factor o(i).
-3*(i + 1)*(i + 2)**2
Let z be 6/(-21) - 11776/(-56). Find a, given that 51*a**4 - 72*a**3 + 198*a**5 - a + 39*a**2 - 5*a - z*a**5 = 0.
0, 1/4, 1, 2
Solve -3*u**2 + 0*u + 6*u + 3*u**5 - 9*u**3 + 3*u**4 + 0*u**5 = 0.
-2, -1, 0, 1
Let p(f) be the second derivative of -3*f**5/40 + 3*f**4/8 - 3*f**3/4 + 3*f**2/4 - 7*f. Determine j, given that p(j) = 0.
1
Let y(h) be the third derivative of -h**9/302400 - h**8/33600 + h**6/900 - h**5/60 - h**2. Let n(z) be the third derivative of y(z). Factor n(l).
-(l - 1)*(l + 2)**2/5
Let a(p) be the third derivative of -p**5/90 + p**4/9 + 5*p**3/9 + 29*p**2. Find d such that a(d) = 0.
-1, 5
Let k(v) = -v**2 + 4*v + 1. Let r be k(5). Let z(t) = t**2 + 4*t + 5. Let q be z(r). Find n such that -2/7*n**3 + 0 - 2/7*n**q + 0*n - 4/7*n**4 + 0*n**2 = 0.
-1, 0
Let w(m) be the first derivative of -2*m**3/21 + 8*m/7 + 19. Determine s, given that w(s) = 0.
-2, 2
Let p(b) be the second derivative of b**4/3 - 2*b**2 - 5*b. Solve p(i) = 0.
-1, 1
Let w(q) be the first derivative of -q**9/9072 + q**7/1260 - q**5/360 - 4*q**3/3 - 4. Let c(f) be the third derivative of w(f). Factor c(p).
-p*(p - 1)**2*(p + 1)**2/3
Let l(z) be the second derivative of 0*z**2 + 0 - 5/12*z**4 + 3*z + 1/6*z**3. Determine n so that l(n) = 0.
0, 1/5
Let x(c) = 5*c**2 + 2*c. Let f(j) = j**3 + 16*j**2 + 6*j. Let v(a) = 4*f(a) - 11*x(a). Let v(b) = 0. Calculate b.
-2, -1/4, 0
Let 9*m - 13*m - m**2 + 4*m = 0. Calculate m.
0
Let h(n) be the second derivative of 5/12*n**4 + 0 + n**2 - 7/6*n**3 - n. Factor h(r).
(r - 1)*(5*r - 2)
Let l(z) be the third derivative of -z**5/120 - z**4/24 + z**3/4 + 10*z**2. Factor l(o).
-(o - 1)*(o + 3)/2
Let t(l) = -l**4 - l**3 - l - 1. Let z(d) = -4*d**3 + 1 + 0*d**4 + d**4 - 2 - 4*d**4. Let m(o) = -2*t(o) + z(o). Factor m(x).
-(x - 1)*(x + 1)**3
Let y(w) be the first derivative of -1/8*w**4 + 0*w**2 - 4 - 2*w + 1/2*w**3. Factor y(i).
-(i - 2)**2*(i + 1)/2
Suppose -3*j - 5 = -2*f, -4 - 7 = 5*j - 4*f. Let s(h) = h - 1. Let l be s(j). Determine i, given that 3/2*i**3 - i**4 + l + 1/4*i**5 + 1/4*