0. Let z = -6 + x. Factor 2/5*t**z - 2/5 + 0*t.
2*(t - 1)*(t + 1)/5
Determine c, given that 0 + 2/13*c**4 + 0*c - 6/13*c**3 + 4/13*c**2 = 0.
0, 1, 2
Let s(c) = -2*c**2 + 12*c + 4. Let p be s(6). Let w(i) be the third derivative of 0 + 0*i + 0*i**3 + 0*i**p + i**2 + 1/120*i**5 - 1/240*i**6. Factor w(r).
-r**2*(r - 1)/2
Factor 4/9*n**3 - 2/9*n**5 + 2/9*n**4 - 4/9*n**2 - 2/9*n + 2/9.
-2*(n - 1)**3*(n + 1)**2/9
Let q = 28 - 25. Factor -2*h**2 - 1/4 + 12*h**4 + 8*h**5 - 3/2*h + 4*h**q.
(2*h - 1)*(2*h + 1)**4/4
Let l(z) = -z**3 + 17*z**2 + 20*z - 33. Let o be l(18). Solve 6/13*p**2 + 2/13*p**o + 0*p - 8/13 = 0.
-2, 1
Let a(i) = 1 - 6*i**2 - 2*i**2 + 11*i**2. Let h be a(1). Solve 2/7 - 4/7*n**3 + 4/7*n - 2/7*n**h + 0*n**2 = 0 for n.
-1, 1
Suppose 15 = -3*y - 0*y. Let a(p) = p**2 - 4*p + 6. Let z(u) = u**2 - 3*u + 5. Let b(x) = y*a(x) + 6*z(x). Suppose b(q) = 0. What is q?
-2, 0
Factor -3/4*o**3 - 729/4*o - 2187/4 - 81/4*o**2.
-3*(o + 9)**3/4
Let u(q) be the first derivative of q**6/24 - q**5/20 - q**4/8 + q**3/6 + q**2/8 - q/4 + 15. Let u(w) = 0. Calculate w.
-1, 1
Let f(x) be the third derivative of 1/12*x**4 + 1/90*x**5 + 2/9*x**3 + 0 + 0*x + 5*x**2. Find u such that f(u) = 0.
-2, -1
Factor -r**2 + 8*r**3 - 9*r**4 - 7*r**4 + 6*r**4 + 4*r**5 - r**2.
2*r**2*(r - 1)**2*(2*r - 1)
Let z(o) be the third derivative of 1/6*o**4 + 1/30*o**5 + 0*o + 4/9*o**3 + 0 - o**2 + 1/360*o**6. Solve z(m) = 0 for m.
-2
Let u(v) = -v**5 - v**4 + v**2 + 1. Let w(l) = -8*l**5 - 12*l**4 - 2*l**3 + 12*l**2 + 4*l + 6. Let d(t) = -12*u(t) + 2*w(t). Determine k so that d(k) = 0.
-2, -1, 0, 1
Let d(i) = 2*i + 17. Let g be d(-7). Factor 14*l**3 - 12*l**3 + g*l - 6*l**2 + l.
2*l*(l - 2)*(l - 1)
Factor 7*b**4 + 6*b**4 + 3*b**2 + b**4 - 11*b**4 + 6*b**3.
3*b**2*(b + 1)**2
Let z(b) be the second derivative of 0*b**2 + 1/20*b**5 + 0*b**4 - 1/30*b**6 + 0*b**3 - 2*b + 0. Factor z(q).
-q**3*(q - 1)
Determine y, given that 0 - 1/3*y**4 + 1/3*y - y**2 + y**3 = 0.
0, 1
Let f(x) be the second derivative of x**7/49 + x**6/35 - 9*x**5/70 - 5*x**4/14 - 2*x**3/7 + 8*x. Determine h, given that f(h) = 0.
-1, 0, 2
Let l = 1/11 - -17/55. Factor 4/5*n + l*n**2 + 2/5.
2*(n + 1)**2/5
Let g(k) = k**3 + 2*k. Let i be g(2). Suppose -7*b + 10*b = i. Suppose -b*t - 1/2*t**5 + 2 + 1/2*t**2 + 5/2*t**3 - 1/2*t**4 = 0. What is t?
-2, 1
Let f = -19 + 5. Let y = f - -43/3. What is j in y*j**3 - 1/3*j**2 + 0*j + 0 = 0?
0, 1
Suppose -2*c + w + 4 = 0, 4*c - 2*c + 4*w - 4 = 0. Factor 0 - h - 1/2*h**c.
-h*(h + 2)/2
Let q = 35/7722 + 2/143. Let p(y) be the second derivative of y**2 + 2/9*y**3 + y + q*y**4 + 0. Determine x so that p(x) = 0.
-3
Let a = 196 - 191. Solve -15/7*m**2 + 3/7*m**3 + 0 + 6/7*m + 15/7*m**4 - 9/7*m**a = 0 for m.
-1, 0, 2/3, 1
Let v(j) be the second derivative of 0 + 0*j**2 + 2/15*j**5 + 1/3*j**4 - 2*j + 1/60*j**6 - 1/3*j**3. Let z(y) be the second derivative of v(y). Factor z(d).
2*(d + 2)*(3*d + 2)
Suppose 0 = s + 3*m - 1, 2 + 19 = 5*s - m. Factor 0*z + 4*z**3 - 3*z**4 + s*z - 6*z + z**2.
-z*(z - 1)**2*(3*z + 2)
Let t(o) be the first derivative of -3/4*o + 9 + 1/4*o**2 + 1/12*o**3. Factor t(x).
(x - 1)*(x + 3)/4
Suppose -2*s = 4*g - 6, -2 = -3*s + 3*g + 16. Find w, given that -4*w**5 + w**s + 9*w**4 + 2*w**3 + 7*w**3 + 6*w**5 + 3*w**2 = 0.
-1, 0
Let u = -34/175 + 12/25. Find b, given that 2/7 + 2/7*b - 2/7*b**2 - u*b**3 = 0.
-1, 1
Let q = -19 - -29. Let o = q - 10. Factor 2*g**5 + g**3 - 4*g**2 - 4*g**3 + o*g**3 - 3*g**3.
2*g**2*(g - 2)*(g + 1)**2
Let f(i) = 3*i**2 - i + 8. Let k(x) = x**2 + 3. Let p(o) = 3*f(o) - 8*k(o). Let w(a) = 2*a**2 - 3*a + 1. Let d(h) = 3*p(h) - 2*w(h). Factor d(l).
-(l + 1)*(l + 2)
Let m = -11 + 15. Factor 7*k**3 - 3*k**2 + 0*k**2 - m*k**3.
3*k**2*(k - 1)
Let c(s) be the second derivative of -1/15*s**3 + 0 - 1/30*s**4 + 3*s + 0*s**2. Factor c(y).
-2*y*(y + 1)/5
Let w(p) be the first derivative of -7*p**3/2 - 15*p**2/4 + 3*p + 14. Factor w(h).
-3*(h + 1)*(7*h - 2)/2
Let z(q) be the second derivative of -2/13*q**2 - 1/13*q**3 + 0 - 1/78*q**4 + q. Solve z(u) = 0 for u.
-2, -1
Suppose 0*j + 279 = -5*g - 3*j, -117 = 2*g + 3*j. Let a be 9/g*-4*1. Let -a*c**2 + 0 + 1/3*c**3 + 0*c = 0. What is c?
0, 2
Let q(b) be the second derivative of 5/18*b**3 - 6*b + 1/3*b**2 + 1/60*b**5 + 0 + 1/9*b**4. Determine v, given that q(v) = 0.
-2, -1
Suppose 3*k - k + 8 = 2*f, 4*k = -4. Suppose -1/2*i**4 + 0*i + 0 - i**2 - 3/2*i**f = 0. Calculate i.
-2, -1, 0
Let 7*w + 6*w - 12 - w + 15*w**2 - 9*w**3 = 0. Calculate w.
-1, 2/3, 2
Factor -k - 2*k + 3*k**2 + 0*k.
3*k*(k - 1)
Let r(l) be the third derivative of -l**5/140 + 3*l**4/56 + 2*l**3/7 - l**2. Factor r(g).
-3*(g - 4)*(g + 1)/7
Let f(k) be the second derivative of k**7/14 - 7*k**6/10 + 27*k**5/10 - 5*k**4 + 4*k**3 - 4*k - 13. Factor f(o).
3*o*(o - 2)**3*(o - 1)
Let x be (-1 - -5)*8/16. Let v be (-5)/(-5) + (x - -1). Factor 0*o**3 + 2/5*o**2 + 0 + 1/5*o - 1/5*o**5 - 2/5*o**v.
-o*(o - 1)*(o + 1)**3/5
Suppose -5*z = 5*v - 30, -4*z + 9*z - 14 = -v. Let -4 - 3*a + 4 - 6*a**2 - 5*a**3 + z*a**3 = 0. What is a?
-1, 0
Let c(p) = 7 - p**2 + 0*p - 3*p + 3*p. Let j(y) = 2. Let x(b) = 2*c(b) - 7*j(b). Factor x(k).
-2*k**2
Solve 0 - 10/3*f**4 - 2/3*f**5 - 4/3*f - 6*f**3 - 14/3*f**2 = 0 for f.
-2, -1, 0
Suppose 3*f + 2 = 6*f + 4*c, 0 = 2*f - 4*c - 8. Solve -2/11*k**4 + 4/11*k**f + 0*k**3 - 2/11 + 0*k = 0.
-1, 1
Let w(c) be the first derivative of 18*c**5/55 + 3*c**4/22 - 10*c**3/33 + c**2/11 - 49. Factor w(z).
2*z*(z + 1)*(3*z - 1)**2/11
Factor 15/8*z**4 + 0*z**2 + 0 + 0*z + 3/4*z**3.
3*z**3*(5*z + 2)/8
Solve 2/9*b**2 + 2/3 + 8/9*b = 0 for b.
-3, -1
Suppose -13 = -5*f + 2. Suppose 5*a - 5*a - 2*a - a**3 + f*a = 0. What is a?
-1, 0, 1
Let s = 2 + -6. Let t = 6 + s. Factor 1/2*x**4 - 1/2*x**t + 1/2*x + 0 - 1/2*x**3.
x*(x - 1)**2*(x + 1)/2
Let p(x) be the first derivative of -35*x**3/6 - 20*x**2 - 10*x - 5. Factor p(y).
-5*(y + 2)*(7*y + 2)/2
Suppose 16 + 4 = 5*m. Let l be 5/((-50)/m)*-10. Factor -l*q**4 + 3*q**3 - q**4 + 4*q**4 - 3*q**2 + q.
-q*(q - 1)**3
Factor 0 + 0*g - 2/11*g**4 - 4/11*g**3 - 2/11*g**2.
-2*g**2*(g + 1)**2/11
Let h(n) = -n - 2. Let j be h(-2). Let w(f) be the first derivative of -2 + j*f**2 - 1/3*f**3 + f. Factor w(o).
-(o - 1)*(o + 1)
Let f(b) be the second derivative of -b**7/840 + b**5/240 - b**2 + 2*b. Let p(o) be the first derivative of f(o). Solve p(m) = 0.
-1, 0, 1
Let y = -2 - 4. Let l be y/5*1/(-3). Suppose -2/5*v + 2/5 - l*v**2 + 2/5*v**3 = 0. Calculate v.
-1, 1
Let r = 218 - 4577/21. Let p(i) be the first derivative of 3 + r*i**6 + 1/7*i**2 - 8/21*i**3 + 0*i - 8/35*i**5 + 3/7*i**4. Factor p(x).
2*x*(x - 1)**4/7
Factor -2/7*o**3 + 0*o + 0 - 2/7*o**2.
-2*o**2*(o + 1)/7
Suppose 2*n - 9 = -p, 0 = -2*p - 2*p + 20. Let f = -6/77 + 4/11. Solve -4/7 - 2/7*g + f*g**n = 0 for g.
-1, 2
Let j(g) be the first derivative of 0*g + g**2 - 1 + 1/3*g**3 + 1/30*g**5 + 1/6*g**4. Let t(k) be the second derivative of j(k). Let t(x) = 0. Calculate x.
-1
Find h, given that 2/3*h**2 - 2*h + 4/3 = 0.
1, 2
Suppose -4*r + r + 6 = 0. Let w = 88/3 - 29. Solve w*d**4 + 0 - d**3 - 1/3*d + d**r = 0 for d.
0, 1
Let p = -2/95 + 103/380. Factor 1/4*f**3 - 1/4*f**4 - p*f + 0 + 1/4*f**2.
-f*(f - 1)**2*(f + 1)/4
Let y(s) be the second derivative of -s**7/1260 - s**6/120 - s**5/30 + s**4/4 + 3*s. Let n(w) be the third derivative of y(w). Solve n(x) = 0 for x.
-2, -1
Let w(v) be the third derivative of -v**8/20160 - v**7/2520 - v**5/60 + v**2. Let b(i) be the third derivative of w(i). Factor b(y).
-y*(y + 2)
Let u be (2 + (-80)/30)*-6. Factor -2/7*h + 0*h**2 + 6/7*h**3 + 0 + 4/7*h**u.
2*h*(h + 1)**2*(2*h - 1)/7
Let d(o) be the third derivative of -9*o**8/2240 + 11*o**7/840 - o**6/120 - 5*o**4/24 + 4*o**2. Let y(u) be the second derivative of d(u). Factor y(h).
-3*h*(h - 1)*(9*h - 2)
Let y = 1007/540 - 7/108. Factor 3/5*f**2 + 0 + 9/5*f**4 + 3/5*f**5 + y*f**3 + 0*f.
3*f**2*(f + 1)**3/5
Let m(f) be the first derivative of -f**5 + 5*f**4/2 - 5*f**2 + 5*f + 34. Factor m(a).
-5*(a - 1)**3*(a + 1)
Let d be 3/(1*(-3)/(-2)). Find p, given that 0*p**2 - 1 - 2*p**2 + 5 - d = 0.
-1, 1
Let c = -15 + 9. Let a be c/21 - (-106)/77. Solve 0 - 2/11*f**5 - 2/11*f - 8/11*f**4 - 8/11*f**2 - a*f**3 = 0.
-1, 0
Suppose -3 = 5*s + 12. Suppose -2 = -2*c - 0. Let l(n) = -8*n**2 - 5*n - 3. Let