3240 + u**4/3 - 8*u. Let i(z) be the third derivative of w(z). Let i(x) = 0. Calculate x.
-1, 0, 1
Let l(r) = -4*r**3 + r**2 - r + 9. Let y(x) = -2*x**3 + 4. Suppose g - 6*g = -10. Let t = 0 - g. Let u(b) = t*l(b) + 5*y(b). Solve u(a) = 0 for a.
-1, 1
Find y, given that -1/2*y**2 + 0 - 1/2*y = 0.
-1, 0
What is i in -2/9*i + 2/9*i**4 + 2/9*i**3 - 2/9*i**2 + 0 = 0?
-1, 0, 1
Let x(o) be the first derivative of -1 + 1/3*o**3 + 0*o + 1/240*o**5 + 0*o**2 + 0*o**4 - 1/720*o**6. Let r(m) be the third derivative of x(m). Factor r(h).
-h*(h - 1)/2
Let j(l) be the second derivative of -l**5/10 - l**4 - 4*l**3 - 8*l**2 - l - 37. Find z, given that j(z) = 0.
-2
Let v(l) = l**2 + 3*l + 2. Let k be v(-3). Find a such that 3*a**k + 3*a + 3*a + 6*a + 0*a**2 + 12 = 0.
-2
Let u(w) be the third derivative of w**8/616 + w**7/55 + w**6/22 - w**5/55 - w**4/4 - 5*w**3/11 - 55*w**2. Find t such that u(t) = 0.
-5, -1, 1
Let l(t) be the first derivative of -t**7/420 - t**6/90 - t**5/60 - t**3 + 2. Let q(h) be the third derivative of l(h). Factor q(r).
-2*r*(r + 1)**2
Suppose -5*v - 12 = -v. Let s be (2/v)/(-3 - -2). Factor -2*n**2 - 8/3*n**3 + s*n + 0.
-2*n*(n + 1)*(4*n - 1)/3
Let h(s) be the second derivative of -s**6/10 - s**5/20 + s**4/4 + s**3/6 + 9*s. Solve h(q) = 0 for q.
-1, -1/3, 0, 1
Let z be (8 + -4)*-2*(-1)/16. What is r in -1/2*r**5 + 0 + 0*r**2 + 0*r - z*r**4 + 0*r**3 = 0?
-1, 0
Let o(v) be the third derivative of -v**6/1620 + v**4/27 - v**3/2 - v**2. Let p(n) be the first derivative of o(n). Find j, given that p(j) = 0.
-2, 2
Suppose -d**4 + 2*d**4 + 3*d**2 - 15*d**2 - 32*d + 4*d**3 + 64 = 0. What is d?
-4, 2
Let o be ((-10)/4)/((-12)/8). Let x = o + -1/3. What is q in 10/3*q + x + 8/3*q**2 + 2/3*q**3 = 0?
-2, -1
Suppose 0 = -3*y + 15, -2*f = 6*y - 2*y - 24. Find u such that -7/2*u**3 - 11/2*u - 1 - 8*u**f = 0.
-1, -2/7
Let d(v) = v**2 - 9*v. Let m be d(9). Suppose m*s - s + 3 = 0. Find b such that -s*b**2 - 23*b + 9*b - 12 + 2*b = 0.
-2
Let x(h) be the third derivative of 0 + h**2 + 0*h**3 + 1/240*h**6 + 1/60*h**5 + 1/48*h**4 + 0*h. Factor x(o).
o*(o + 1)**2/2
Let f(v) = -v**5 - 2*v**4 + 2*v**3 + v**2 - 1. Let c(s) = -s**4 + s**3 - 1. Let n(z) = c(z) - f(z). Factor n(d).
d**2*(d - 1)*(d + 1)**2
Let g(l) = l**3 + l**2 - l + 1. Let p(u) = 24*u**3 + 10*u**2 - 4*u + 22. Let a(z) = -44*g(z) + 2*p(z). Factor a(n).
4*n*(n - 3)**2
Let q(t) be the second derivative of 0*t**3 + 0*t**2 + 1/30*t**4 + 0 + 2*t - 1/25*t**5 + 1/75*t**6. Factor q(w).
2*w**2*(w - 1)**2/5
Let q(h) be the second derivative of -h**6/70 + 11*h. Factor q(t).
-3*t**4/7
Let m be (-2)/(-4)*412/(-6). Let t = m + 35. Factor -7*u**3 - 5/3*u**5 - 17/3*u**4 - t*u + 0 - 11/3*u**2.
-u*(u + 1)**3*(5*u + 2)/3
Let o(m) be the first derivative of -3/4*m**4 + 1/2*m**6 + 0*m - 3/5*m**5 + 0*m**2 + m**3 + 1. Let o(w) = 0. Calculate w.
-1, 0, 1
Let j(f) be the second derivative of -f**7/840 - f**6/60 - f**5/10 - 7*f**4/12 - 8*f. Let n(c) be the third derivative of j(c). Factor n(q).
-3*(q + 2)**2
Let t(r) be the third derivative of -r**11/166320 + r**9/30240 - r**5/30 + r**2. Let p(l) be the third derivative of t(l). Factor p(g).
-2*g**3*(g - 1)*(g + 1)
Let j be (-12)/66 - 35/(-11). Factor -2/9*f**2 + 0 + 0*f + 2/9*f**4 + 2/9*f**5 - 2/9*f**j.
2*f**2*(f - 1)*(f + 1)**2/9
Let -8/9*w**2 - 2/9*w**3 - 10/9*w - 4/9 = 0. Calculate w.
-2, -1
Let z(f) be the first derivative of -f**6/8 - 3*f**5/20 + 9. Factor z(s).
-3*s**4*(s + 1)/4
Let -13*o**3 - 2*o**3 + 12*o + 6*o**4 - 4*o**4 + 7*o**4 - 12*o**2 = 0. Calculate o.
-1, 0, 2/3, 2
Let y(c) be the first derivative of 16*c**5/5 + 7*c**4 - 8*c**3/3 + 8. Determine m, given that y(m) = 0.
-2, 0, 1/4
Let z(w) be the third derivative of -w**6/40 + 9*w**5/20 - 27*w**4/8 + 27*w**3/2 + 9*w**2. Let z(j) = 0. Calculate j.
3
Factor m**2 + 8 + m**2 - 4*m - 5*m**2 - m**2.
-4*(m - 1)*(m + 2)
Factor -17*m - 48 - 5*m - 2*m - 5*m**2 + 2*m**2.
-3*(m + 4)**2
Let a = -123747019/3737 + 33114. Let v = a - -168169/14948. Find k such that -25/4*k**3 + 1 + v*k**2 - 6*k = 0.
2/5, 1
Let o(q) be the second derivative of -3*q**2 + 0 + 1/10*q**5 + 7/3*q**3 - q - 5/6*q**4. Factor o(a).
2*(a - 3)*(a - 1)**2
Let f = 3 + 0. Factor -10*u + 2*u - 3*u**f + 3*u**3 - 2 - 10*u**2 - 4*u**3.
-2*(u + 1)**2*(2*u + 1)
Let -7*m**4 + 8*m**2 + 6*m**3 + 2*m**4 - 8*m - 3*m**4 + 2*m**5 = 0. What is m?
-1, 0, 1, 2
Let g(s) be the third derivative of -1/24*s**4 + 1/120*s**6 + 0 + 1/6*s**3 - 1/60*s**5 + s**2 + 0*s. Let g(p) = 0. Calculate p.
-1, 1
Let n(q) be the first derivative of q**4/10 + 16*q**3/15 - 9*q**2/5 + 21. Find v, given that n(v) = 0.
-9, 0, 1
Let y(r) be the first derivative of 9*r**4/4 + 2*r**3 - 3*r**2/2 + 14. Let y(h) = 0. Calculate h.
-1, 0, 1/3
Let j(w) = -6*w**4 - 63*w**3 - 15*w**2 + 69*w. Let y(i) = -i**4 - 9*i**3 - 2*i**2 + 10*i. Let q(f) = 2*j(f) - 15*y(f). Find g, given that q(g) = 0.
-2, 0, 1
Suppose 0*l - 12 = -6*l. Let z(p) be the second derivative of 0*p**4 + 1/135*p**6 + p + 0 + 0*p**l - 1/90*p**5 + 0*p**3. Find q such that z(q) = 0.
0, 1
Find d, given that 3 + 3*d**2 + d**3 + 9*d**2 - 1 - 6*d**3 - 9*d = 0.
2/5, 1
Let o(q) be the second derivative of 8*q**2 + 0 + 4*q**3 - 7*q + 3/4*q**4. Suppose o(c) = 0. What is c?
-4/3
Let b(z) be the first derivative of -z**4/24 - z**3/6 - z**2/4 + 4*z - 3. Let r(g) be the first derivative of b(g). Solve r(k) = 0 for k.
-1
Let s(o) be the second derivative of -o**4/48 + o**3/2 - 9*o**2/2 + 34*o. Factor s(c).
-(c - 6)**2/4
Let v = 2176/3 + -724. Let 0 + 6*x**3 + v*x + 14/3*x**2 + 10/3*x**4 + 2/3*x**5 = 0. What is x?
-2, -1, 0
Let j(v) be the first derivative of -5*v**4/12 + 2*v**3/9 + 6. Factor j(h).
-h**2*(5*h - 2)/3
Let w = -1 - -4. Solve w - 30*k**3 - 3*k**5 + 32*k**2 - 15*k - 2*k**2 + k**4 + 14*k**4 = 0.
1
Let t(d) = d**5 + d**2 + d**3 + 2*d**4 - 2*d**4. Let r = 9 - 12. Let k(b) = -2*b**5 + 2*b**4 - 3*b**3 - 5*b**2 - b. Let w(g) = r*t(g) - k(g). Solve w(l) = 0.
-1, 0, 1
Let y(w) = 14*w**5 + 18*w**4 + 2*w**3 - 2*w**2 + 2*w + 2. Let j(h) = 14*h**5 + 18*h**4 + h**3 - 3*h**2 + 3*h + 3. Let n(f) = -2*j(f) + 3*y(f). Solve n(r) = 0.
-1, -2/7, 0
Let g(v) be the second derivative of v**6/30 + 2*v**5/5 + 2*v**4 + 16*v**3/3 + 5*v**2/2 + 7*v. Let t(k) be the first derivative of g(k). Factor t(b).
4*(b + 2)**3
What is z in -2*z**2 - 10*z + z**2 + 11*z + 2 = 0?
-1, 2
Let w(x) = 23*x**2 - 5*x - 11. Suppose 19 + 171 = -5*t. Let f = t + 4. Let k(g) = 4*g**2 - g - 2. Let a(v) = f*k(v) + 6*w(v). Suppose a(b) = 0. What is b?
-1
Let t(g) = g**4. Let p(k) = -18*k**4 - 16*k**3 - 108*k + 4*k**3 + 81 + 30*k**4 + 54*k**2. Let n(u) = 2*p(u) - 22*t(u). Factor n(w).
2*(w - 3)**4
Solve -8*k + 3*k**3 + 8*k - 6*k**2 = 0 for k.
0, 2
Let w(d) be the second derivative of d**6/480 - d**5/240 - d**4/48 - 5*d**2/2 + 4*d. Let x(p) be the first derivative of w(p). Factor x(h).
h*(h - 2)*(h + 1)/4
Factor -8*c**3 + 3*c**3 + 48 - 48.
-5*c**3
Let h = 22 + -20. Factor 0 + 2/3*k + 4/3*k**h - 4/3*k**4 - 2/3*k**5 + 0*k**3.
-2*k*(k - 1)*(k + 1)**3/3
Let p(s) = -17*s**2 - 8*s - 5. Let d(c) = 26*c**2 + 12*c + 8. Let t(y) = -5*d(y) - 8*p(y). Factor t(m).
2*m*(3*m + 2)
Let p(j) be the third derivative of 0*j**5 + 0*j**3 - 5*j**2 + 0*j**4 + 0 + 1/360*j**6 + 0*j. Factor p(v).
v**3/3
Determine f so that 44*f**2 - 5 - 3*f + 13*f - 49*f**2 = 0.
1
Let m = 23 - 21. Let c(i) be the first derivative of -m - 1/9*i**3 + 0*i + 0*i**2. Suppose c(l) = 0. What is l?
0
Let l(j) be the first derivative of 0*j - 3/2*j**2 - 3/4*j**4 + 2 - 2*j**3. Find z, given that l(z) = 0.
-1, 0
Let g(i) be the first derivative of -i**6/240 - i**2 - 3. Let n(v) be the second derivative of g(v). Factor n(b).
-b**3/2
Let v(g) be the first derivative of -1 + 0*g**3 - g + 0*g**5 - 1/18*g**4 + 1/6*g**2 + 1/90*g**6. Let y(q) be the first derivative of v(q). Factor y(z).
(z - 1)**2*(z + 1)**2/3
Let g(p) be the third derivative of -p**7/5460 + p**6/780 - p**5/390 - p**3/3 - 6*p**2. Let i(n) be the first derivative of g(n). Solve i(c) = 0.
0, 1, 2
Let j(o) be the third derivative of 1/90*o**5 - 1/180*o**6 + 0*o + 0 - 3*o**2 + 0*o**3 + 0*o**4 + 1/504*o**8 - 1/315*o**7. Factor j(z).
2*z**2*(z - 1)**2*(z + 1)/3
Factor 3 - 9*i**4 + 2*i**4 + 10*i**4 - 6*i**2.
3*(i - 1)**2*(i + 1)**2
Find z, given that -16 - 3*z**2 + 1/4*z**3 + 12*z = 0.
4
Let x be (-2)/(