+ 3*g**3 + 9*g**a + 13*g**2.
3*(g - 1)*(g + 3)**2
Let s(f) be the second derivative of 0*f**2 + 1/21*f**3 + 0 - 3*f + 1/42*f**4. Factor s(a).
2*a*(a + 1)/7
Let l(g) be the second derivative of g**5/5 - g**4/3 - 2*g**3/3 + 2*g**2 + 21*g. Solve l(h) = 0.
-1, 1
Suppose 4*x + 2*t = 20, -2*t + t = x - 7. Let p(z) be the first derivative of 1/4*z**2 - 1/3*z**3 + 0*z - x + 1/8*z**4. Factor p(q).
q*(q - 1)**2/2
Suppose 3*u + 4*p = 18, -u + 0 = p - 5. Determine g, given that -2/13*g**3 - 2/13*g**u + 2/13*g**4 + 0 + 2/13*g = 0.
-1, 0, 1
Let z(q) = q - 30. Let p be z(30). Let s(n) be the second derivative of 0*n**2 - 4*n - 1/12*n**3 - 1/48*n**4 + p + 1/80*n**5. Factor s(i).
i*(i - 2)*(i + 1)/4
Determine j, given that 0 + 26/7*j**4 - 32/7*j**3 + 8/7*j**2 - 6/7*j**5 + 0*j = 0.
0, 1/3, 2
Let f(s) be the third derivative of s**6/180 - s**5/20 + s**4/6 - s**3/2 + s**2. Let q(a) be the first derivative of f(a). Factor q(o).
2*(o - 2)*(o - 1)
Suppose 8*f**2 - 40 - 9*f**2 + 6*f**2 + 0*f**2 - 10*f = 0. Calculate f.
-2, 4
Let t = 1117/9 - 124. Let n(k) be the first derivative of 4/3*k - 1 + 2/3*k**2 + t*k**3. Solve n(w) = 0.
-2
Let i = 158236/105 - 1507. Let q(v) be the third derivative of 0*v + 0*v**4 - i*v**7 + 0*v**3 - 1/60*v**6 + 1/168*v**8 + 0 + 1/30*v**5 - 2*v**2. Factor q(l).
2*l**2*(l - 1)**2*(l + 1)
Let x(u) be the third derivative of u**7/840 - u**5/80 + u**4/48 + 4*u**2. Factor x(d).
d*(d - 1)**2*(d + 2)/4
Factor -11*v**3 + 12*v - 58 + 66 + 9*v**5 - 6*v**4 - 10*v**5 - 2*v**2.
-(v - 1)*(v + 1)*(v + 2)**3
Suppose 4*r - 133 + 433 = 0. Let o be (-2)/5 + (-55)/r. Factor -o - 1/3*y**3 + 1/3*y**2 + 1/3*y.
-(y - 1)**2*(y + 1)/3
Factor -5/4*t**4 - 15/2*t**3 - 15*t - 65/4*t**2 - 5.
-5*(t + 1)**2*(t + 2)**2/4
Let o(r) be the third derivative of 0*r**6 - 5*r**2 + 0*r**4 + 0*r + 1/336*r**8 + 0 + 0*r**5 + 0*r**3 - 1/210*r**7. Factor o(l).
l**4*(l - 1)
Let k(l) be the third derivative of -l**5/20 + 3*l**4/4 + 7*l**3/2 - l**2. Suppose k(v) = 0. What is v?
-1, 7
Let o(k) = -k**2 + k - 1. Suppose -g + f = -1, -g + 4 = -0*g + 2*f. Let x(n) = 14*n**4 + 4*n**3 - 25*n**2 + 7*n - 11. Let a(c) = g*x(c) - 22*o(c). Factor a(p).
4*p*(p - 1)*(p + 1)*(7*p + 2)
Let o(i) = -i**3 + 12*i**2 - i + 14. Let v be o(12). Suppose b - 5 = c + 1, 4*b = -v*c. Factor 4*k**3 - b*k**3 - 3*k + 0*k**3 + k.
2*k*(k - 1)*(k + 1)
Solve -4*y**4 + 44*y**3 - 45*y**2 - y + 13*y**2 - 15*y - 8*y**4 = 0 for y.
-1/3, 0, 2
Let -s**3 - 2*s + 6*s - 3*s**3 = 0. What is s?
-1, 0, 1
Let a(u) = 7*u**4 + u**3 + 2*u**2 - 4*u + 4. Let x(n) = 15*n**4 + 2*n**3 + 5*n**2 - 9*n + 9. Let y(w) = 9*a(w) - 4*x(w). Factor y(k).
k**2*(k + 1)*(3*k - 2)
Find f, given that 0*f - 2*f**3 + 0 + 8/5*f**4 + 4/5*f**2 - 2/5*f**5 = 0.
0, 1, 2
Solve 2/7*s + 0 + 2/7*s**2 = 0.
-1, 0
Let v(f) be the first derivative of -10*f**5 + 95*f**4/4 + 15*f**3 - 40*f**2 + 20*f + 8. Suppose v(r) = 0. What is r?
-1, 2/5, 1/2, 2
Solve -10*o - 27 + 5*o**2 + 18 + 3 - 34 = 0.
-2, 4
Factor -1/3*u + 7/6*u**2 + 5/6*u**4 + 0 - 3/2*u**3 - 1/6*u**5.
-u*(u - 2)*(u - 1)**3/6
Suppose q + 1 = 4*t - 9, -5*q + 4 = -2*t. Let v(a) be the second derivative of -1/6*a**3 + q*a + 0*a**2 + 1/12*a**4 + 0. Determine r, given that v(r) = 0.
0, 1
Let m(s) be the third derivative of 0 - 4/15*s**6 - 4*s**2 + 0*s**3 - 1/12*s**4 + 0*s + 4/15*s**5. Factor m(w).
-2*w*(4*w - 1)**2
Let r(k) = k**2 + 15*k + 39. Let j be r(-12). Factor 6/13*x + 0*x**2 - 2/13*x**j - 4/13.
-2*(x - 1)**2*(x + 2)/13
Let t(g) be the third derivative of g**6/900 + g**5/225 - g**4/60 - 2*g**2 - 49. Let t(f) = 0. What is f?
-3, 0, 1
Let j(l) be the first derivative of -l**4/14 - 10. Factor j(i).
-2*i**3/7
Let z(q) = -9*q**3 + 108*q**2 - 2*q + 26. Let o be z(12). Factor -2/3*s**o + 0*s**3 - 1/3*s**5 + 0 + 2/3*s**4 + 1/3*s.
-s*(s - 1)**3*(s + 1)/3
Let y(g) be the second derivative of -g**6/240 - g**5/80 + g**4/48 + g**2/2 - 2*g. Let u(d) be the first derivative of y(d). Determine f, given that u(f) = 0.
-2, 0, 1/2
Let q(x) be the first derivative of -x**6/9 + 2*x**5/15 - 4. Factor q(a).
-2*a**4*(a - 1)/3
Let u = 93 + -65. Solve 4 + 15*g**4 + 18*g - 3*g**4 + 2*g**5 + 28*g**3 + 4*g**2 + u*g**2 = 0.
-2, -1
Let f(s) be the third derivative of s**8/336 - s**7/210 - s**6/120 + s**5/60 + 8*s**2. Factor f(o).
o**2*(o - 1)**2*(o + 1)
Let i = -2704/11 + 246. Factor -4/11*u**2 + 0*u**3 + i*u**4 + 0*u + 2/11.
2*(u - 1)**2*(u + 1)**2/11
Let t(i) be the second derivative of -11/4*i**4 - i - 14/3*i**3 + 0 - 2*i**2. Factor t(c).
-(3*c + 2)*(11*c + 2)
Let a be 10/(-4)*(-40)/25. Let s(k) = k + 2. Let f be s(5). What is x in 8*x**a - 3*x**2 - 2*x - f*x**3 + 15*x**2 - 11*x**3 = 0?
0, 1/4, 1
Let q(g) = 2*g**2 - g - 4. Let i be q(2). Factor -16/13*d**i + 2/13*d + 10/13*d**3 + 4/13.
2*(d - 1)**2*(5*d + 2)/13
Let n(r) = -2*r**2 - 36 - 28*r**2 - 85*r - r**3 - 15*r**2 + 5*r. Let i(h) = -h**3 - 30*h**2 - 53*h - 24. Let l(p) = -8*i(p) + 5*n(p). Factor l(t).
3*(t + 1)*(t + 2)**2
Suppose -2*r = 2*a - 6, -4*r + 5*a - 11 = -8*r. Solve 4/7*l + 0*l**2 - 4/7*l**3 + 2/7*l**r - 2/7 = 0 for l.
-1, 1
Let s(g) be the first derivative of -g**3/9 + g**2/2 - 2*g/3 - 4. Factor s(l).
-(l - 2)*(l - 1)/3
Factor -57*t - 20 - 50*t + 20*t**2 + 102*t + 5*t**3.
5*(t - 1)*(t + 1)*(t + 4)
Let h(k) = -k**2 + 7*k - 7. Let q be h(5). Let j(t) be the second derivative of 0 - 1/12*t**q + 2*t + 1/48*t**4 + 1/8*t**2. Factor j(u).
(u - 1)**2/4
Let t(i) be the second derivative of -6*i + 0*i**4 + 0 + 1/40*i**6 - 1/4*i**3 + 3/40*i**5 - 3/8*i**2. Suppose t(q) = 0. What is q?
-1, 1
Suppose 6 = 4*c - 3*j - 2, j = 0. Find n such that -4/7 - 6/7*n + 10/7*n**c = 0.
-2/5, 1
Factor -312*a**4 + 826*a**3 + 5 - 29 + 209*a - 690*a**2 - 103*a**3 + 48*a**5 + 19*a.
3*(a - 2)**3*(4*a - 1)**2
Suppose -a - 6 = -5*i + 14, 2*i - 5*a + 15 = 0. Solve 1/2 + 3/2*d**4 + 3*d + 6*d**2 + i*d**3 = 0.
-1, -1/3
Let m(k) be the second derivative of 3*k**5/70 - k**4/7 - k**3/7 + 6*k**2/7 + 15*k. Factor m(c).
6*(c - 2)*(c - 1)*(c + 1)/7
Let u(h) = -h**2 + 7*h + 11. Let w be u(8). What is i in -4*i**3 - i**w + 75*i**4 - 9*i**2 - 39*i**2 - 10*i**3 - 12*i = 0?
-2/5, 0, 1
Let z = -3 - -4. Let w be -1*(z + (-6)/4). Suppose -w*k**3 + 0*k**2 + 0 + 1/2*k = 0. What is k?
-1, 0, 1
Let u(d) be the second derivative of -d**6/660 + d**4/132 + d**2/2 - d. Let k(j) be the first derivative of u(j). Factor k(s).
-2*s*(s - 1)*(s + 1)/11
Let w(l) be the first derivative of -l**6/13 - 22*l**5/65 - 5*l**4/26 + 2*l**3/13 + 21. Find v, given that w(v) = 0.
-3, -1, 0, 1/3
Factor 0*n**3 - n**2 - 3*n**3 + 2*n**3.
-n**2*(n + 1)
Let i be 4*(-5)/(-320)*3. Let d(v) be the third derivative of -i*v**4 + 1/16*v**6 + 2*v**2 - 1/30*v**5 + 0 + 0*v - 1/6*v**3. Determine q so that d(q) = 0.
-2/5, -1/3, 1
Let q(h) = -h**5 - h**4 + 8*h**3 - 4*h**2 + 3*h - 5. Let k(s) = s**3 - s**2 + s - 1. Let p(a) = 5*k(a) - q(a). Factor p(u).
u*(u - 1)**2*(u + 1)*(u + 2)
Factor 64/5*l - 4*l**2 - 16/5 - 20*l**3.
-4*(l + 1)*(5*l - 2)**2/5
Let x(w) be the first derivative of 2*w**6/9 - w**5 + 5*w**4/3 - 10*w**3/9 + w/3 + 14. Let x(z) = 0. What is z?
-1/4, 1
Let v(p) be the third derivative of p**5/90 - 13*p**2. What is b in v(b) = 0?
0
Let w(y) = y**3 + 5*y**2 + 5*y + 7. Let c be w(-4). Suppose 12*o + 4*o**2 + o**4 + 20*o**2 + 15*o**c + 2*o**4 = 0. What is o?
-2, -1, 0
Let a = -10 - -16. Suppose 7*h - 2*h + 2*w - a = 0, 4*h - w = -3. Factor 1/2*f**4 + h*f + 1/2*f**3 - 1/2*f**2 - 1/2*f**5 + 0.
-f**2*(f - 1)**2*(f + 1)/2
Determine z, given that 0*z**2 + 27*z + 18 - 10*z**2 + 12 + 7*z**2 = 0.
-1, 10
Let s(v) = v**2 - 2. Let h(j) = -1. Let m(r) = -4*h(r) + 2*s(r). Factor m(n).
2*n**2
Factor -3*o - o**2 + 6 + 19*o - 8*o**2 + 3*o**2.
-2*(o - 3)*(3*o + 1)
Let o(b) = b - 2. Let z be o(4). Factor -n**3 - n**5 - n**4 + 4*n**4 - z*n**3 + n**2.
-n**2*(n - 1)**3
Let p(m) = -4*m**3 + 8*m**2. Let i(f) = f**5 - f**4 - 5*f**3 + 8*f**2 + f - 1. Let o(n) = 4*i(n) - 3*p(n). Factor o(z).
4*(z - 1)**3*(z + 1)**2
Let k(s) be the third derivative of s**5/240 - s**4/24 + s**3/6 - 2*s**2. Factor k(u).
(u - 2)**2/4
Let j(x) be the third derivative of -x**8/3360 + x**7/672 - x**6/480 - x**5/20 - 5*x**2. Let y(d) be the third derivative of j(d). Factor y(b).
-3*(b - 1)*(4*b - 1)/2
Factor -38 - 2 - 49*g - 24 - 132*g**2 - 111*g - 4*g**4 - 40*g**3.
-4*(g + 1)**2*(g + 4)**2
Let n = -13 - -8. Let s(o) =