-2*p**3 - 4*p**2 - 31*p**4 + 35*p**4 - 4*p + 6*p**3 = 0.
-1, 0, 1
Solve -1/6*h**4 + 0*h**2 - 1/3*h**3 + 1/3*h + 1/6 = 0 for h.
-1, 1
Suppose -5*t = 5*a - 25, -6*a + 5*t = -5*a + 13. Suppose -3*s - s - 3*p = -a, -5*p = 3*s + 4. Factor -2*x**4 - 8*x**3 + 4*x**2 + s*x**3 + 4*x**4.
2*x**2*(x - 2)*(x - 1)
Let j(i) be the second derivative of -13*i**4/60 + i**3/15 + 21*i. Find y, given that j(y) = 0.
0, 2/13
Suppose -w = -0 - 3. Suppose 4*y + 2*x - x - 9 = 0, -w*y = 3*x - 9. What is q in -2*q - 5*q**y - 2*q**5 + 4*q**4 + 4*q**3 + 0*q**4 + q**2 + 2 - 2*q**4 = 0?
-1, 1
Let l(h) be the second derivative of h**8/336 + 2*h**7/315 + h**6/360 + 4*h**2 + 2*h. Let m(o) be the first derivative of l(o). What is f in m(f) = 0?
-1, -1/3, 0
Let t = 8 + -6. Suppose -3*j = 2*a - 6, -3*a - 2*j - 3*j = -9. Factor 0 - 2*s**t + 1/2*s**a + 2*s.
s*(s - 2)**2/2
Suppose -4 = 53*q - 55*q. Let t(w) be the first derivative of -3 - 2/3*w**3 + 2*w + 0*w**q. Find p, given that t(p) = 0.
-1, 1
Suppose 5*s = 5, -2*w + s = 2*w - 31. Let k = 11 - w. Factor -10*l**3 + 3 + 3*l + 0*l - k*l**2 + 7*l**3.
-3*(l - 1)*(l + 1)**2
Let k(d) = d**4 - d**3 + 3*d**2 + 3*d. Let r(i) = -5*i**4 + 4*i**3 - 16*i**2 - 15*i - 1. Let o(y) = -11*k(y) - 2*r(y). Let o(w) = 0. Calculate w.
-1, 1, 2
Let w(n) be the second derivative of 0*n**4 + 0 - n - 3/10*n**5 + 0*n**2 + 1/10*n**6 + 0*n**3. Factor w(a).
3*a**3*(a - 2)
Let o(k) be the second derivative of -k**6/120 + k**5/40 + 7*k**4/48 + k**3/6 - 10*k. Factor o(u).
-u*(u - 4)*(u + 1)**2/4
Let m(p) be the third derivative of 9*p**6/320 - p**5/40 - p**4/48 - 13*p**2. Solve m(q) = 0.
-2/9, 0, 2/3
Let u(o) be the second derivative of -o**7/735 + 5*o**2/2 + 5*o. Let f(b) be the first derivative of u(b). Factor f(s).
-2*s**4/7
Let p(s) = -5*s**3 - 5*s**2 + 21*s. Let l(o) = -2*o**3 - o**3 + 5*o**3 - o**3 + o**2 - 4*o. Let z(d) = 11*l(d) + 2*p(d). Factor z(h).
h*(h - 1)*(h + 2)
Let f(l) = 4*l**3 + 0*l**3 + 2*l + l**4 + l**2 - 5*l**3 - 3*l. Let b(g) = -4*g**5 + 6*g**4 - 6*g**3 + 14*g**2 - 10*g. Let s(x) = -b(x) + 10*f(x). Factor s(z).
4*z**2*(z - 1)*(z + 1)**2
Let r = 8 + -5. Let b be 2*r*3/45. Find f, given that -6/5*f**2 + 2/5*f - b*f**4 + 6/5*f**3 + 0 = 0.
0, 1
Let u(b) be the third derivative of -b**6/48 - b**5/60 + 5*b**4/48 + b**3/6 + 11*b**2. Factor u(f).
-(f - 1)*(f + 1)*(5*f + 2)/2
Let 1 - 5/4*c + 1/4*c**2 = 0. Calculate c.
1, 4
Let x = -4/151 - -322/755. Determine n, given that 1/5*n - x*n**2 + 0 + 1/5*n**3 = 0.
0, 1
Determine z so that 17*z**4 + 40*z + 0 - 110*z**2 - 17*z**4 - 45*z**4 + 120*z**3 - 5 = 0.
1/3, 1
Let t(g) = -4*g**5 + 4*g**4 - 8*g**3 + 8*g**2 + 6*g. Let m(c) = -11*c**5 + 11*c**4 - 23*c**3 + 23*c**2 + 17*c. Let o(q) = 6*m(q) - 17*t(q). Factor o(i).
2*i**2*(i - 1)**2*(i + 1)
Let d(i) be the third derivative of -1/1440*i**6 + 3*i**2 + 1/2*i**3 - 1/240*i**5 + 0 - 1/96*i**4 + 0*i. Let m(t) be the first derivative of d(t). Factor m(s).
-(s + 1)**2/4
Let t(h) be the third derivative of h**5/150 + h**4/10 + 3*h**3/5 + 5*h**2. Factor t(n).
2*(n + 3)**2/5
Let a(r) be the first derivative of -2/3*r**3 + 0*r - 1 - 1/96*r**4 - 1/1440*r**6 - 1/240*r**5 + 0*r**2. Let q(k) be the third derivative of a(k). Factor q(v).
-(v + 1)**2/4
Let m be 139/6 - 10/20. Let b = 23 - m. Factor -b*y - 1/3*y**3 - 2/3*y**2 + 0.
-y*(y + 1)**2/3
Let o be 4/6 - (-1)/3. Let x = 5 - o. Factor -4*r + 2 - 4*r**x + 2*r**4 + 3*r**3 + r**3.
-2*(r - 1)**3*(r + 1)
Let l = -703 + 2110/3. Let k**3 + 0*k + l*k**5 + k**4 + 1/3*k**2 + 0 = 0. Calculate k.
-1, 0
Let d = -192 + 968/5. Factor 2/5*k**5 - 2*k - 4/5*k**2 + 8/5*k**3 + d*k**4 - 4/5.
2*(k - 1)*(k + 1)**3*(k + 2)/5
Suppose -2*d - 2 = 4*n, 5*n = -0*d + 2*d - 25. Suppose -4*w**3 - 3*w**5 + 5*w**d + w + w = 0. Calculate w.
-1, 0, 1
Let d be (0/1*(-1)/3)/1. Let g(b) be the third derivative of -b**2 + 0*b + 1/360*b**6 + d*b**4 - 1/180*b**5 + 0 + 0*b**3. Determine x, given that g(x) = 0.
0, 1
Suppose -5*d = 4*u - 28 + 6, u - d = 1. Factor 0*x**u - x**2 - 3 + 7*x**2 + 3*x - 3*x**2 - 3*x**3.
-3*(x - 1)**2*(x + 1)
Let b(j) be the first derivative of 3 - 15*j**5 + 95/4*j**4 - j**3 - 15/2*j**2 - 2*j. Let b(x) = 0. Calculate x.
-1/5, 2/3, 1
Let x(d) be the third derivative of 1/315*d**7 + 0*d + 7/180*d**6 + 1/5*d**5 - 2*d**2 + 0 + 5/9*d**4 + 8/9*d**3. Factor x(w).
2*(w + 1)*(w + 2)**3/3
Let b(g) be the third derivative of g**6/96 - g**5/48 - 5*g**4/96 + 5*g**3/24 + 13*g**2. Factor b(m).
5*(m - 1)**2*(m + 1)/4
Factor c**2 + 1/4*c**3 + 0 + c.
c*(c + 2)**2/4
Let i(t) = -9*t**3 + 44*t**2 - 69*t + 26. Let q(b) = 10*b**3 - 45*b**2 + 70*b - 25. Let z(l) = -5*i(l) - 4*q(l). Let z(r) = 0. Calculate r.
1, 6
Suppose 5*u = 22 - 2. Suppose -n - 3*n + u = 0. Solve 1 - j**2 + j + j - n = 0.
0, 2
Factor 0 + 30/7*o - 3*o**2 + 3/7*o**3.
3*o*(o - 5)*(o - 2)/7
Factor -6/7*r**2 + 0*r + 0 - 9/7*r**3.
-3*r**2*(3*r + 2)/7
Let k(v) = -7*v**2 - 2*v. Let d(h) = 0*h + h - 3*h**2 - 2*h. Let w(c) = 5*d(c) - 2*k(c). Factor w(n).
-n*(n + 1)
Factor -2*v + 27*v + 15*v + 80 + 2*v**2 + 3*v**2.
5*(v + 4)**2
Let i = 23 + -17. Let c be 1/i*(3 + 0). Solve 0 + 0*u - 1/2*u**2 + c*u**4 - 1/4*u**3 + 1/4*u**5 = 0.
-2, -1, 0, 1
Let k(j) be the first derivative of 3/5*j**4 - 4 + 8/5*j**3 + 8/5*j**2 + 2/25*j**5 + 0*j. Find w, given that k(w) = 0.
-2, 0
Solve -3/4 + 5*k**2 + 7/4*k = 0.
-3/5, 1/4
Let k(h) = -3*h + 20. Let c be k(6). Suppose -5*l = -c*q - 16, 3*l = 4*l - 2*q - 8. Find y, given that 0*y + 2/9*y**l + 0 = 0.
0
Let z be 5 - 3*(-2)/(-6). Let y = 1/29 - -27/58. Factor 5/2*t**3 + 3*t**2 - 4 + y*t**z - 2*t.
(t - 1)*(t + 2)**3/2
Let l = 7037/9 + -781. Let b = -4/155 - -1276/1395. Determine k so that -2/9*k**2 - b - l*k = 0.
-2
Suppose 0 = 2*i - i + 30. Let d be (12/i)/(2*-1). Factor 13/5*w**3 + 0 - 6/5*w**2 + d*w + 4/5*w**5 - 12/5*w**4.
w*(w - 1)**2*(2*w - 1)**2/5
Suppose -5*t - 25 = -4*r + 56, 0 = -5*r - 5. Let k = 17 + t. Factor 0*c + k*c**2 + 0*c**3 + 1/2*c**5 + 1/2*c**4 + 0.
c**4*(c + 1)/2
Factor -1/2*z**2 + 0*z + 0 + z**4 + 1/2*z**3.
z**2*(z + 1)*(2*z - 1)/2
Let y(s) be the first derivative of -2/9*s**5 - 8/27*s**3 + 0*s + 2/3*s**4 + 0*s**2 + 3. Find c such that y(c) = 0.
0, 2/5, 2
Let 6/7*i - 2/7*i**3 + 0*i**2 - 4/7 = 0. Calculate i.
-2, 1
Suppose -2*f - 18 = 4*f. Let s = -1 - f. Factor 6/5*i**3 - 4/5 - 13/5*i**s - 1/5*i**4 + 12/5*i.
-(i - 2)**2*(i - 1)**2/5
Let f(s) be the second derivative of -s**7/336 - s**6/240 + 3*s**5/160 + 5*s**4/96 + s**3/24 + 5*s. Factor f(t).
-t*(t - 2)*(t + 1)**3/8
Suppose 5*k = -3*u + 14, -u = 2*u + 3*k - 12. Factor 20*s**2 - 18*s + 12*s**2 - 36*s**3 + 13*s**4 + 8*s**u - s**4 + 4 - 2*s**5.
-2*(s - 2)*(s - 1)**4
Let t be 8/(-10) - 73/(-90). Let s(c) be the third derivative of 0*c + t*c**5 - c**2 + 1/18*c**4 + 0 + 1/9*c**3. Determine f so that s(f) = 0.
-1
Let w be (-17)/(-5)*60/36. Let c = w - 113/21. Factor 0*q + 4/7*q**2 + 0 + c*q**3.
2*q**2*(q + 2)/7
Suppose -3*f + 4*f = 23. Let x = f + -67/3. Factor 0*c - 2/3*c**3 - 4/3*c**2 + 0 + x*c**4.
2*c**2*(c - 2)*(c + 1)/3
Let g(f) be the second derivative of -f**6/105 + f**5/14 - 4*f**4/21 + 4*f**3/21 + 2*f. Let g(x) = 0. Calculate x.
0, 1, 2
Let x(z) = -z. Let r = 2 - 3. Let n(u) = -3*u**2 - 12*u. Suppose 3*s - 34 = 4*a, s - 2 = -2*s - 4*a. Let f(k) = r*n(k) + s*x(k). Find l such that f(l) = 0.
-2, 0
Determine l, given that -l + 2 - l**2 - 2*l + 2*l = 0.
-2, 1
Let s be 21*(394/78 - 5). Factor -6/13*g**2 + 0 - 4/13*g - s*g**4 + 24/13*g**3.
-2*g*(g - 1)**2*(7*g + 2)/13
Let y(a) be the first derivative of 0*a + 1/2*a**2 - 1/60*a**5 - 2 + 0*a**4 + 0*a**3. Let s(k) be the second derivative of y(k). Factor s(p).
-p**2
Let w(g) be the third derivative of g**5/15 + g**4/8 + 21*g**2. Find b such that w(b) = 0.
-3/4, 0
Suppose 2*u + 3*u**2 + 4*u + 3 + 0*u = 0. Calculate u.
-1
Let h(o) be the third derivative of -o**6/40 - o**5/20 + o**4/4 - 7*o**2. Solve h(x) = 0 for x.
-2, 0, 1
Let d(x) be the third derivative of x**8/588 + 2*x**7/105 + x**6/15 + 2*x**5/105 - 5*x**4/14 - 6*x**3/7 + 14*x**2. Determine k, given that d(k) = 0.
-3, -1, 1
Factor -18/5*c - 81/5 - 1/5*c**2.
-(c + 9)**2/5
Let b(h) be the third derivative of 0*h + 1/40*h**6 + 1/20*h**5 + 0 + 0*h**3 + 0*h**4 + 2*h**2. Determine q, given that b(q) = 0.
-1, 0
What is g in -5/6*g**3 + 4/3*g**2 + 0 + 1/6*g**4 - 2/3*g = 0?
0, 1, 2
Let 578 + 40*r + 2*r**2 - 21*r +