5*x**7 + 0*x**5 + 0*x + 0*x**3 + 0 + 0*x**4 - 1/168*x**8 + x**2 - 1/30*x**6. Factor s(g).
-2*g**3*(g - 2)*(g - 1)
Factor 0 - 3*n**4 + 3/2*n**3 + 0*n**2 + 0*n.
-3*n**3*(2*n - 1)/2
Let l be (-5)/3*(-2)/12. Let n(z) be the first derivative of 0*z**2 - 4 + 0*z - 2/15*z**5 - 1/3*z**6 - 2/27*z**3 + l*z**4. Let n(i) = 0. Calculate i.
-1, 0, 1/3
Suppose -55 = -p - 51. Find h such that -2*h**p + 0 + 0*h + 4/3*h**2 + 2/3*h**3 = 0.
-2/3, 0, 1
Let p(v) be the second derivative of 0 - 1/3*v**2 + 1/36*v**4 + 1/18*v**3 - v. Find j such that p(j) = 0.
-2, 1
Let m(t) be the first derivative of -t**4/2 + 46*t**3/21 + 22*t**2/7 - 16*t/7 - 7. Find s, given that m(s) = 0.
-1, 2/7, 4
Let u(r) be the third derivative of r**5/45 - r**4/18 - 4*r**3/9 + 15*r**2. Determine y, given that u(y) = 0.
-1, 2
Suppose 0*k = 5*k - 20. Solve 0*s + 3*s**3 + 0 - 2*s**2 + 1/4*s**5 - 3/2*s**k = 0 for s.
0, 2
Let p be (-3)/(-2)*(-48)/(-36). Let l(x) be the second derivative of 1/90*x**5 + 4/9*x**p + 0*x**3 - 1/18*x**4 + x + 0. Factor l(d).
2*(d - 2)**2*(d + 1)/9
Factor -6/5 - 4/5*v + 2/5*v**2.
2*(v - 3)*(v + 1)/5
Let w(g) be the first derivative of g**7/280 - g**5/40 + 7*g**3/3 + 1. Let n(v) be the third derivative of w(v). Determine z so that n(z) = 0.
-1, 0, 1
Let x(r) = -r + 8. Let f be x(5). Suppose 5*t + 2 = f*t - 2*v, -5*t - 3*v = -1. Factor 2*s**2 - t + s + 3*s**2 - 4*s**2.
(s - 1)*(s + 2)
Let g(o) be the third derivative of 0*o**3 + 1/336*o**8 + 0 + 2*o**2 + 0*o + 0*o**5 - 1/360*o**6 - 1/315*o**7 + 0*o**4. Determine c so that g(c) = 0.
-1/3, 0, 1
Suppose 6*q = 2*q + 16. Factor -4*p**2 + 5*p**2 + 2*p**q - 3*p**4.
-p**2*(p - 1)*(p + 1)
Let q(a) = a**2 - 13*a + 17. Let v be q(12). Let j(z) be the second derivative of 0 - 2*z + 0*z**4 + 2/9*z**3 - 1/45*z**6 + 1/3*z**2 - 1/15*z**v. Factor j(p).
-2*(p - 1)*(p + 1)**3/3
Suppose -21*p - 10*p = -62. What is c in 0 - 2/3*c**p - 2/3*c + 2/3*c**4 + 2/3*c**3 = 0?
-1, 0, 1
Suppose 0*u + 5*b - 40 = -2*u, -2*u - 2*b + 46 = 0. Let x be 2/20 + 10/u. Solve -1/2*n**4 + 0 + 0*n - 1/2*n**5 + x*n**3 + 1/2*n**2 = 0 for n.
-1, 0, 1
Find l, given that -l**2 - 7*l**2 + 0*l + 33*l + 9 - 4*l**2 = 0.
-1/4, 3
Let q = -43/2 - -22. Solve 0*u - 5/4*u**3 - 3/4*u**4 + 0 - q*u**2 = 0 for u.
-1, -2/3, 0
Let h = -41 + 42. Let x(w) be the first derivative of 1/8*w**4 + 0*w + 0*w**5 + 0*w**2 + 0*w**3 - 1/12*w**6 - h. Let x(b) = 0. What is b?
-1, 0, 1
Factor 1/4*r**2 - 1/2*r + 0.
r*(r - 2)/4
Let p be (4/(-15))/((-102)/85). Let 0*h**2 + p*h + 0 - 2/9*h**3 = 0. What is h?
-1, 0, 1
Let l(k) be the second derivative of 0*k**4 + 0*k**5 - 1/60*k**6 + 0 - 1/84*k**7 + 3*k + 0*k**2 + 0*k**3. Factor l(s).
-s**4*(s + 1)/2
Let p(b) be the first derivative of -b**4/8 + 5*b**3/12 - b**2/8 - b/2 - 32. Factor p(q).
-(q - 2)*(q - 1)*(2*q + 1)/4
Let u be (3/(-9))/(2/(-18)). Suppose -3*w + 5*r - 9 = 0, 3*w = -r - u*r + 18. What is g in 2/3 + w*g**3 + 14/3*g**2 + 10/3*g = 0?
-1, -1/3
Let j(y) be the third derivative of 0*y - 13/3*y**4 + 3/35*y**7 + 4*y**3 - 6*y**2 - 4/5*y**6 + 0 + 79/30*y**5. Factor j(v).
2*(v - 3)*(v - 1)*(3*v - 2)**2
Factor 0 + 4/3*u - 2/3*u**2.
-2*u*(u - 2)/3
Let z be 2/(-6)*(-36)/2. Let y(j) be the first derivative of 0*j - 6/35*j**5 - 1/21*j**z - 3/14*j**4 + 0*j**2 - 2/21*j**3 + 2. Determine p, given that y(p) = 0.
-1, 0
Let p(b) = b**2 - 15*b - 2. Let y be p(15). Let a be (0 - y/(-4))*-8. Factor 0*f**3 + 0 + 0*f**2 + 2/5*f**a + 0*f.
2*f**4/5
Let n be (-3 + 5)/(1/4). Let b be (n/15)/((-4)/(-6)). What is x in 2/5 - b*x**2 + 0*x**3 + 0*x + 2/5*x**4 = 0?
-1, 1
Let a(y) be the third derivative of y**7/462 - y**6/1320 + 8*y**2. What is c in a(c) = 0?
0, 1/5
Let q be 1/(-2) - 30/(-12). Solve 2*x**q + 3*x**3 + x**2 - 3*x**4 + x**5 - 4*x**2 = 0.
0, 1
Suppose -i - 3*i + 220*i**2 - 3*i**3 + 7*i**3 - 222*i**2 + 2*i**4 = 0. Calculate i.
-2, -1, 0, 1
Let d be 175/14 + (-2)/4. Solve 15*y - 3*y**3 - 3*y**2 - d*y - 2 + 5 = 0 for y.
-1, 1
Suppose -6*q = 2*y - 4*q - 14, -3*y = 5*q - 21. Suppose 8 + y = -3*a, 5*a = 4*j - 25. What is r in -1/4*r**5 - 1/2*r**4 + j + 0*r**2 + 0*r - 1/4*r**3 = 0?
-1, 0
Factor 1/5*l**2 + 1/5*l - 1/5*l**4 + 0 - 1/5*l**3.
-l*(l - 1)*(l + 1)**2/5
Let t be (-22)/15 - -2 - 19/38. Let c(w) be the second derivative of w - 2/15*w**3 + 0 + 0*w**2 + t*w**4. Factor c(i).
2*i*(i - 2)/5
Let j be 4*4/8 - 7. Let c be (6 + j)*(-2)/(-6). Let 0 - c*i**2 - 1/3*i**3 + 1/3*i + 1/3*i**4 = 0. Calculate i.
-1, 0, 1
Factor 0*x + 0*x**2 + 0 + 2/7*x**3 - 2/7*x**4.
-2*x**3*(x - 1)/7
Let f(n) be the first derivative of -n**6/30 + 2*n + 3. Let i(r) be the first derivative of f(r). Factor i(v).
-v**4
Let u(x) be the first derivative of -5*x**3/12 + 3*x**2/2 - x + 25. Find b, given that u(b) = 0.
2/5, 2
Let b(x) = x**3 + x**2 - x. Let f(g) = -7*g**3 + 21*g**2 - 237*g + 729. Let m(p) = 6*b(p) + f(p). Factor m(c).
-(c - 9)**3
Suppose -188*w = -205*w + 51. Factor -1/4*n**w - 1/2 + 1/2*n**2 + 1/4*n.
-(n - 2)*(n - 1)*(n + 1)/4
Suppose a - 38 = -5*s, 2*a + a - 3*s = 42. Factor 18*p**2 + 1 + 8*p + a*p**3 - 10*p - 3.
2*(p + 1)*(3*p - 1)*(3*p + 1)
Let b be (-3)/(-4) + (-33)/132. Solve 0 - y + b*y**2 = 0 for y.
0, 2
Factor 1/4*z**2 + 1/4*z**3 + 0 - 1/4*z**4 + 0*z - 1/4*z**5.
-z**2*(z - 1)*(z + 1)**2/4
Let q(c) = -c**2 + 1. Let x be q(-1). Let -3*o**2 - 4 - 2*o - o**2 + 6*o**2 + x*o**2 = 0. Calculate o.
-1, 2
Let x(f) be the first derivative of f**6/280 - f**5/140 - 5*f**2/2 + 1. Let r(o) be the second derivative of x(o). Let r(m) = 0. Calculate m.
0, 1
Let l be (-3 + (-14)/(-5))/(26/(-208)). What is f in 6/5*f**3 - l - 26/5*f**2 + 32/5*f = 0?
1/3, 2
Factor 5*n**3 - n**2 + 4 + 38 - 9*n**2 - 20*n - 2.
5*(n - 2)**2*(n + 2)
Let f(o) be the second derivative of 5*o**7/42 + o**6/2 - 5*o**4/3 - 28*o. Factor f(m).
5*m**2*(m - 1)*(m + 2)**2
Let g(h) = h**3 + 5*h**2 - 7*h - 4. Let r be g(-6). Factor 0*x**2 + r - 2*x**2 - 6*x - x**2 - 5.
-3*(x + 1)**2
Let l = 155 - 314. Let b = -633/4 - l. Factor -3/4 - b*d**3 - 9/4*d - 9/4*d**2.
-3*(d + 1)**3/4
Let h(u) be the first derivative of u**4/72 - u**2/3 - 5*u + 11. Let b(s) be the first derivative of h(s). Factor b(v).
(v - 2)*(v + 2)/6
Let x(h) = h**2 - 4*h - 7. Let k be x(10). Factor 17*w**4 - k*w**4 + 4*w**3 + 8*w**3 + 27*w**5.
3*w**3*(3*w - 2)**2
Let z(a) = -16*a**4 + 96*a**3 - 80*a**2 - 26*a. Let y(i) = -3*i**4 + 19*i**3 - 16*i**2 - 5*i. Let w(b) = 14*y(b) - 3*z(b). Factor w(h).
2*h*(h - 2)**2*(3*h + 1)
Let i(w) be the first derivative of w**5/60 - w**3/6 - w**2/2 - 5. Let b(s) be the second derivative of i(s). Find t such that b(t) = 0.
-1, 1
Suppose 0 = 2*f - 5*s - 75, -s = f + 3*s - 5. Suppose -5*g - 4*j = j - f, 4*j = -2*g + 14. What is y in -2 - 6*y - g + 3 - 2*y**3 - 6*y**2 = 0?
-1
Suppose 4*o = -0*p - 4*p - 4, -3*p - 3 = -3*o. Let j(v) be the second derivative of 1/6*v**3 + v + o + 0*v**2 + 1/12*v**4. What is d in j(d) = 0?
-1, 0
Let y(l) be the first derivative of l**5/20 + l**4/12 - l**3/6 - l**2/2 - 9*l + 6. Let h(f) be the first derivative of y(f). Factor h(g).
(g - 1)*(g + 1)**2
Let i(f) be the second derivative of f**5/20 + 5*f**4/12 + f**3/2 - f**2 - 3*f. Let d be i(-4). Factor d + 0*x**2 - 6*x + 3*x**2 + 0 + 3*x**2 - 2*x**3.
-2*(x - 1)**3
Let a(v) = 3*v**2 - 26*v. Let y(l) = l. Let d(j) = -a(j) - 5*y(j). Factor d(w).
-3*w*(w - 7)
Let g(o) be the first derivative of -1/3*o**3 + 0*o - 2 + 0*o**2. Factor g(f).
-f**2
Let c(n) be the first derivative of -1/12*n**6 + 2 + 0*n - 1/6*n**3 + 0*n**2 + 1/8*n**4 + 1/10*n**5. Factor c(m).
-m**2*(m - 1)**2*(m + 1)/2
Let d(j) be the second derivative of j**6/45 + j**5/30 - j**4/18 - j**3/9 + 14*j. Factor d(f).
2*f*(f - 1)*(f + 1)**2/3
Let d(t) = 6*t**3 - 4*t**2 + 10*t - 7. Let v(u) = 5*u**3 - 4*u**2 + 9*u - 6. Let b(h) = -4*d(h) + 5*v(h). Determine g, given that b(g) = 0.
1, 2
Let u(o) be the second derivative of -o**3 - o - 1/4*o**4 + 0 - 3/2*o**2. Find x, given that u(x) = 0.
-1
Let b(u) be the second derivative of -u**6/105 - u**5/70 + u**4/42 + u**3/21 - 26*u. Solve b(w) = 0.
-1, 0, 1
Let v(w) = w**2 + 2*w - 12. Let f be v(-5). Let n(o) be the second derivative of 1/12*o**4 + 1/2*o**2 + 0 + o + 1/3*o**f. Factor n(r).
(r + 1)**2
Let j(i) be the first derivative of 11*i**4 - 92*i**3/3 + 26*i**2 - 4*i - 51. Let j(p) = 0. Calculate p.
1/11, 1
Let b be ((-7)/2 - -3)*-4. Let 1/2*o + 1/4 + 1/4*o**b = 0. Calc