+ 5*z + 0 - 9/2*z**2. Let u(t) = 0. Calculate t.
-1, 3
Let c(h) be the third derivative of h**6/720 - h**5/180 - h**4/48 - h**2 + 2*h. Suppose c(q) = 0. Calculate q.
-1, 0, 3
Let i(n) be the first derivative of 0*n + 3/20*n**5 + 1/4*n**4 - 5 + 0*n**2 + 1/12*n**3. Let i(x) = 0. Calculate x.
-1, -1/3, 0
Suppose 3*l = -3*g + 2*g, -3*l - 3*g = 0. Let m(o) be the second derivative of -o + 1/90*o**5 - 1/9*o**3 + 0*o**4 + l - 2/9*o**2. Find v, given that m(v) = 0.
-1, 2
Let a(s) = -4 + 1 + 3 - 4*s + 2*s**2 + 3. Let d(l) = -4*l**2 + 9*l - 7. Let y(z) = -14*a(z) - 6*d(z). Factor y(o).
-2*o*(2*o - 1)
Let c(v) be the first derivative of 0*v - 2/11*v**2 - 1/22*v**4 - 2/11*v**3 + 2. Suppose c(q) = 0. Calculate q.
-2, -1, 0
Let b(q) be the first derivative of -4/3*q - 4 + 2/9*q**3 + 1/3*q**2. Factor b(t).
2*(t - 1)*(t + 2)/3
Let q(r) be the second derivative of 3*r**7/7 + 7*r**6/5 + r**5/10 - 3*r**4/2 + 2*r**3/3 - 4*r. Let q(h) = 0. What is h?
-2, -1, 0, 1/3
Let x = 1 - -2. Suppose -2*d - x*d + 4*n = -26, 16 = 4*d - 2*n. Factor 16 - 16 + d*g**3 + 8*g - 8*g**2.
2*g*(g - 2)**2
Let k = -26 - -29. Let q(a) be the first derivative of -4/27*a**k - 1 + 0*a**2 + 2/45*a**5 + 0*a + 1/18*a**4. Determine w, given that q(w) = 0.
-2, 0, 1
Let c be (0/(-1 - 4))/(-1 - -2). Let f(w) be the first derivative of 3 + 2/9*w**3 - 1/3*w**2 + c*w + 1/6*w**4 - 2/15*w**5. Factor f(z).
-2*z*(z - 1)**2*(z + 1)/3
Let x be (-27)/(-6) + 4 + -8. Let i be 27/6 - 1/(-2). Determine v so that 0*v**3 - x*v + 1/2*v**i + v**2 + 0 - v**4 = 0.
-1, 0, 1
Let h(a) be the third derivative of 0*a**4 + 0*a**7 + 0*a**3 + 0*a - 1/540*a**6 + 1/1512*a**8 + 0*a**5 + 2*a**2 + 0. Let h(n) = 0. What is n?
-1, 0, 1
Let k be ((-2)/(-3) - 0)*6/2. Factor -27/2*z**3 - 60*z + 117/2*z**k + 18.
-3*(z - 3)*(3*z - 2)**2/2
Let h be 3/24*-1*-2. Let j(x) = -x + 5. Let p be j(2). Factor 1/4*t**2 + 1/4*t**p - 1/4*t - h*t**4 + 0.
-t*(t - 1)**2*(t + 1)/4
Let k(p) = -3*p**4 + 6*p**3 + 9*p**2 + 4*p + 4. Let x(r) = 6*r**4 - 12*r**3 - 18*r**2 - 9*r - 9. Let j(q) = -9*k(q) - 4*x(q). Factor j(g).
3*g**2*(g - 3)*(g + 1)
Let d(t) = t**2 + 7*t - 8. Let s be d(-8). Let z(q) be the second derivative of 1/15*q**3 - 1/50*q**5 + s*q**4 + 0 - q + 0*q**2. Factor z(y).
-2*y*(y - 1)*(y + 1)/5
Let m(q) = -3*q**2 - 9*q + 1. Let n(t) be the first derivative of -t**3/3 - 3*t**2/2 + 7. Let i(v) = 2*m(v) - 7*n(v). Factor i(p).
(p + 1)*(p + 2)
Let q(t) be the first derivative of -2*t**5/85 + 4*t**3/51 - 2*t/17 - 13. What is z in q(z) = 0?
-1, 1
Factor 5*v**3 + 3*v**2 - 3 - 4*v + v - 2*v**3.
3*(v - 1)*(v + 1)**2
Let x(f) be the first derivative of f**4/6 + 8*f**3/9 + 5*f**2/3 + 4*f/3 - 5. Factor x(q).
2*(q + 1)**2*(q + 2)/3
Suppose -7*z + z = 0. Let l(n) be the third derivative of n**2 - 1/84*n**4 + z*n + 1/210*n**5 - 2/21*n**3 + 0. What is v in l(v) = 0?
-1, 2
Let o = 31/78 + -3/13. Let v(t) be the second derivative of 1/6*t**4 + 1/20*t**5 - 2*t + 0 + 0*t**2 + o*t**3. Suppose v(n) = 0. What is n?
-1, 0
Let h be 2 + (-2 - -2 - 2). Let t be (1*-3)/((-90)/(-20))*-3. Factor -4/9*q**3 + 0*q + 10/9*q**5 + 0 + 2/3*q**4 + h*q**t.
2*q**3*(q + 1)*(5*q - 2)/9
Let v be (-2*12/15)/(-2). Factor p + 1/5*p**2 + v.
(p + 1)*(p + 4)/5
Let s = -4 - -6. Suppose 6*v**2 + 4*v**4 + s*v**2 - 4*v**2 - 6*v**3 - 2*v**2 = 0. What is v?
0, 1/2, 1
Let j(x) be the first derivative of 3*x**3/4 + 2*x**2 - x + 7. Factor j(o).
(o + 2)*(9*o - 2)/4
Let t(n) be the first derivative of -n**4 + 4*n**3/3 - 10. Factor t(h).
-4*h**2*(h - 1)
Find q such that -3/4 - 1/2*q + 1/4*q**2 = 0.
-1, 3
Let x be 9/(-11)*(-10)/15. Factor 2/11*n**3 + 4/11*n + x*n**2 + 0.
2*n*(n + 1)*(n + 2)/11
Determine j, given that 0 - 2/9*j - 2/3*j**4 - 14/9*j**3 - 10/9*j**2 = 0.
-1, -1/3, 0
Let a(q) be the second derivative of -q**7/5880 - 5*q**4/12 + q. Let p(y) be the third derivative of a(y). Factor p(i).
-3*i**2/7
Let m(y) be the first derivative of 3*y**3 + 3*y**2 - 6*y - 4. Let i(d) = 17*d**2 + 12*d - 11. Let n(h) = -6*i(h) + 11*m(h). Suppose n(s) = 0. What is s?
-2, 0
Find m such that 10*m**2 - m**4 + 2*m**3 - m + 3*m**4 - 4 - 16*m**2 - 9*m = 0.
-1, 2
Factor -2/19*v**2 - 6/19*v**4 - 6/19*v**3 + 0*v + 0 - 2/19*v**5.
-2*v**2*(v + 1)**3/19
Let p be ((-10)/75*5)/((-2)/12). Determine w so that 4/5*w - 16/5*w**2 + 0 - 9/5*w**p + 21/5*w**3 = 0.
0, 2/3, 1
Let w(m) be the third derivative of -m**5/20 - 3*m**4/8 - m**3 + 9*m**2. Suppose w(a) = 0. What is a?
-2, -1
Let j(z) be the third derivative of -z**5/140 + 2*z**3/7 - 6*z**2. Find c, given that j(c) = 0.
-2, 2
Let h(c) be the second derivative of 4*c**7/63 + 2*c**6/9 + 4*c**5/15 + c**4/9 + 7*c. Factor h(m).
4*m**2*(m + 1)**2*(2*m + 1)/3
Suppose 5*s + u - 30 = -0*s, 0 = -3*s - u + 20. Let i(g) = g**2 - 6*g + 7. Let w be i(s). Find h, given that 6*h**2 + 6*h - 4 - w + 6 + 2*h**3 + 2 = 0.
-1
Factor -2/5*c**3 + 12/5 + 14/5*c + 0*c**2.
-2*(c - 3)*(c + 1)*(c + 2)/5
Let o(i) be the first derivative of -i**3/5 + 3*i**2/5 + 9*i/5 + 1. Factor o(b).
-3*(b - 3)*(b + 1)/5
Let i(l) be the first derivative of 2*l**3/21 + l**2/7 - 4*l/7 + 63. Factor i(t).
2*(t - 1)*(t + 2)/7
Let s = -13 - -17. Let m(t) be the second derivative of t + 1/2*t**s + t**2 + 4/3*t**3 + 0. Factor m(z).
2*(z + 1)*(3*z + 1)
Let l(d) be the first derivative of 4*d**4 - 8/3*d**3 - 3 - 2/5*d**5 + 0*d**2 - d**6 + 0*d. Find s, given that l(s) = 0.
-2, 0, 2/3, 1
Let w(m) = -m**4 + 16*m**3 + 26*m**2 + 20*m + 7. Let u(c) = 16*c**3 + 26*c**2 + 19*c + 6. Let o(t) = -4*u(t) + 3*w(t). Determine x so that o(x) = 0.
-3, -1, -1/3
Let n = -653/24 - -223/8. Let 4/3*k**3 - 2/3 + 2*k**4 - 4/3*k**2 + n*k**5 - 2*k = 0. Calculate k.
-1, 1
Suppose -3 = -3*x + 3. Let -2*j**5 + 28*j**x - j**3 - 3*j**4 - 25*j**2 - 2*j**3 + 5*j**5 = 0. What is j?
-1, 0, 1
Let q(w) be the first derivative of w**7/280 - w**5/40 + w**3 - 5. Let t(h) be the third derivative of q(h). Solve t(d) = 0 for d.
-1, 0, 1
Let r(k) be the third derivative of -k**8/20160 + k**6/720 - k**5/180 - k**4/8 + k**2. Let j(p) be the second derivative of r(p). Factor j(y).
-(y - 1)**2*(y + 2)/3
Let i = -8 + 7. Let r = 5 + i. Factor 0*j - 2*j**2 - j - 5*j**4 + 4*j**r + j**3 + 3*j**2.
-j*(j - 1)**2*(j + 1)
Solve j**3 - 3/2*j**2 + j - 1/4 - 1/4*j**4 = 0.
1
Let k = -7 - -3. Let h(u) = 8*u**3 - 16*u**2 + 6. Let m(y) = 33*y**3 - 65*y**2 + 23. Let i(f) = k*m(f) + 18*h(f). Factor i(o).
4*(o - 2)*(o - 1)*(3*o + 2)
Let u(t) be the second derivative of -t**5/130 - 5*t**4/78 - 7*t**3/39 - 3*t**2/13 + 7*t. Factor u(x).
-2*(x + 1)**2*(x + 3)/13
Let z(i) be the second derivative of 1/20*i**5 + 4*i + 0 - 27/2*i**2 + 9/2*i**3 - 3/4*i**4. Determine f, given that z(f) = 0.
3
Suppose 3*s - 2*r = -2, -5*s = -4*r + 2 + 4. Factor 2*q - q + 39*q**3 + 4*q**s - 3*q**2 - 1 - 40*q**3.
-(q - 1)**2*(q + 1)
Solve -6*q**3 + 3 + 8*q - 2*q**3 + 3 + 0*q**3 - 4*q**2 - 2*q**4 = 0 for q.
-3, -1, 1
Let m = 2/251 - -496/753. Factor -2/3*u - m*u**2 + 0.
-2*u*(u + 1)/3
Find h, given that -8/7*h**4 + 10/7*h**2 - 2/7 - 6/7*h**3 + 6/7*h = 0.
-1, 1/4, 1
Let m(x) = x**4 + 5*x**3 + 15*x**2 - 11*x - 10. Let b(k) = 5*k**4 + 30*k**3 + 90*k**2 - 65*k - 60. Let s(l) = 6*b(l) - 35*m(l). Factor s(n).
-5*(n - 2)*(n - 1)*(n + 1)**2
Let s(f) = -3*f**5 + 10*f**4 + 8*f**3 - 10*f**2 - 9*f. Let w(k) = 9*k**5 - 29*k**4 - 25*k**3 + 29*k**2 + 27*k. Let i(j) = 11*s(j) + 4*w(j). Factor i(a).
3*a*(a - 3)*(a - 1)*(a + 1)**2
Let c(q) = 2*q**2 + 7*q - 2. Let u be c(-5). Suppose -3*p + u = 7. Factor 0 - 1/3*i**p + 0*i + 1/3*i**3.
i**2*(i - 1)/3
Find o such that -o**2 + 3*o**2 + o**3 - 1 - o**2 - o = 0.
-1, 1
Let s = 93/194 + 2/97. Suppose 4*z = -15 - 5, k - 5*z - 25 = 0. Solve -s*p + 1/2*p**3 + k*p**2 + 0 = 0.
-1, 0, 1
Let z(k) be the first derivative of k**4/24 - 2*k**3/9 + k**2/3 - 21. Factor z(x).
x*(x - 2)**2/6
Let j(m) be the second derivative of m**5/150 + m**4/20 + 2*m**3/15 + m**2/2 - 2*m. Let a(z) be the first derivative of j(z). Factor a(t).
2*(t + 1)*(t + 2)/5
Find f such that 3*f**4 + 0 + 0*f**2 + 0*f + 3/2*f**3 + 3/2*f**5 = 0.
-1, 0
Let k(l) = -l - 12. Let c be k(-6). Let j be (2/14*c)/(-2). Find x, given that -1/7*x**2 - 2/7 + j*x = 0.
1, 2
Let j(q) be the third derivative of q**7/7560 + q**6/540 + q**5/90 - q**4/12 - 2*q**2. Let t(n) be the second derivative of j(n). Solve t(d) = 0 for d.
-2
Let z(g) be the third derivative of 0*g*