**4 - 6*f - 1 = 0 for f.
-1, 1
Let v(g) be the first derivative of -2*g**2 - 6*g - 4 + 2/3*g**3. Factor v(q).
2*(q - 3)*(q + 1)
Suppose 2/7*h**2 + 4/7 - 6/7*h = 0. What is h?
1, 2
Let o(c) = -c**4 - c**3 + c + 1. Let t(d) = -6*d**4 - 6*d**3 + 18*d**2 + 15*d - 21. Let u(f) = 3*o(f) - t(f). Factor u(i).
3*(i - 2)*(i - 1)*(i + 2)**2
Suppose 0 = -3*s + s. Let q(p) be the second derivative of -1/24*p**4 + 0 + s*p**2 + 2*p + 1/12*p**3. Factor q(d).
-d*(d - 1)/2
Let j(m) = m**3 + 10*m**2 + 8*m + 8. Let g be j(-9). Suppose 19 = 3*f - g. Factor h**2 + f - 3*h**2 - 8 + 2*h.
-2*(h - 2)*(h + 1)
Suppose 2 + 8 = 5*t. Factor -2*n**3 - 10*n - 3*n**2 + 14*n + 6*n**2 - 5*n**t.
-2*n*(n - 1)*(n + 2)
Let u(b) be the second derivative of -b**4/6 + 5*b**3/21 + 2*b**2/7 + 47*b. Factor u(a).
-2*(a - 1)*(7*a + 2)/7
Factor -33*k + 76 - 2*k**3 + 3*k - 94 - 14*k**2.
-2*(k + 1)*(k + 3)**2
Suppose 0 = 36*f - 29*f - 28. Determine s so that 0 + 0*s - 2/7*s**f + 0*s**3 + 0*s**2 = 0.
0
Let b(f) = f**2 - 6*f - 4. Let s(i) = -i - 1. Let u be s(-8). Let o be b(u). Determine m, given that m**3 + o*m**3 - 2*m**3 = 0.
0
Let a(u) = u**3 - 7*u**2 + 4*u + 14. Let m be a(6). Factor -3/5*o**m - 1/5*o**4 + 3/5*o**3 + 1/5*o + 0.
-o*(o - 1)**3/5
Let a(u) = u**4 - u**3 + u - 1. Let y(f) = -3*f**4 + 6*f**3 - 3*f**2 - 6*f + 6. Let b(h) = 6*a(h) + 3*y(h). Factor b(k).
-3*(k - 2)**2*(k - 1)*(k + 1)
Factor 1/2*f + 0 - 1/2*f**2.
-f*(f - 1)/2
Suppose -25 = 9*j - 4*j. Let i be 9/84 + j/(-35). Suppose -1/2 + 1/4*g**2 - i*g = 0. Calculate g.
-1, 2
Let c(q) be the third derivative of -3/70*q**7 + 0 + 1/20*q**6 - 3/8*q**4 + 1/10*q**5 + 1/112*q**8 + 0*q + q**2 + 1/2*q**3. Factor c(y).
3*(y - 1)**4*(y + 1)
Factor 32/19*h - 128/19 - 2/19*h**2.
-2*(h - 8)**2/19
Let z(s) be the first derivative of -s**4/8 + s**3/3 - 9. Solve z(a) = 0 for a.
0, 2
Let y(s) be the third derivative of 1/33*s**3 - 1/33*s**4 + 0 + 1/1155*s**7 + 1/55*s**5 + 0*s + s**2 - 1/165*s**6. Factor y(i).
2*(i - 1)**4/11
Let t = -2 + 8. Let b(s) be the third derivative of 1/180*s**5 + 1/72*s**4 + s**2 + 0*s - 1/630*s**7 + 0 + 0*s**3 - 1/360*s**t. Let b(q) = 0. Calculate q.
-1, 0, 1
Let v(d) be the first derivative of 1/27*d**4 + 0*d**2 - 1/27*d**3 + 1 - 1/90*d**5 - d. Let s(b) be the first derivative of v(b). Let s(i) = 0. Calculate i.
0, 1
Factor 2/3 - 3/2*j + j**2 - 1/6*j**3.
-(j - 4)*(j - 1)**2/6
Let k(l) be the third derivative of -l**6/600 + l**5/50 - 3*l**4/40 + 17*l**2. Factor k(g).
-g*(g - 3)**2/5
Let l(d) = -d**2 - 4*d - 4. Let q be l(-3). Let o(t) = -3*t - 1. Let c be o(q). Factor s**4 - 4*s**3 + 2*s**3 - s**5 - c*s**2 + 0*s**4 - s + 1 + 4*s**3.
-(s - 1)**3*(s + 1)**2
Let k be 1265/22*1/(-5). Let l = k + 117/10. Let l*y**3 + 2/5*y**2 + 1/5*y + 0 = 0. Calculate y.
-1, 0
Factor 0 + 3/2*x**4 + 0*x - 3/2*x**3 - 1/2*x**5 + 1/2*x**2.
-x**2*(x - 1)**3/2
Find y, given that 8*y**3 - 19*y - 3 - 13*y - 4*y**2 + 19 = 0.
-2, 1/2, 2
Let i(c) be the second derivative of c**5/50 - 27*c. Determine m, given that i(m) = 0.
0
Let f(u) = 7*u**5 + 19*u**4 + 15*u**3 + u**2 - 4*u. Let v(z) = z. Let h(b) = -f(b) - 2*v(b). Let h(r) = 0. What is r?
-1, 0, 2/7
Let v(x) be the second derivative of x**7/35 + 4*x**6/45 + x**5/18 - x**4/18 + 3*x**2/2 - x. Let h(j) be the first derivative of v(j). Factor h(w).
2*w*(w + 1)**2*(9*w - 2)/3
Let o(x) be the second derivative of 0*x**4 + 0*x**2 + 1/3*x**3 + 1/60*x**5 + 0 + 1/180*x**6 - x. Let w(z) be the second derivative of o(z). Factor w(a).
2*a*(a + 1)
Suppose -4*h - 4 = -8. Let u be h - (-1 + (-5)/(-3)). Factor -u*t + 1/3*t**2 + 0.
t*(t - 1)/3
Let l(d) = d**2 + d - 1. Let o(m) = -3*m**2 + 23*m - 13. Let t(z) = 14*l(z) - 2*o(z). Factor t(g).
4*(g - 1)*(5*g - 3)
Suppose -2*x - 6*i + 4*i - 10 = 0, -3*x - 5 = i. Let t(z) = z. Let a be t(x). Factor a + 0*b**4 + 0*b**2 - 1/3*b + 2/3*b**3 - 1/3*b**5.
-b*(b - 1)**2*(b + 1)**2/3
Let c = 49 - 47. Let u(y) be the third derivative of -1/360*y**5 - 1/9*y**3 - 4*y**c + 1/36*y**4 + 0 + 0*y. Factor u(z).
-(z - 2)**2/6
Let n(z) be the third derivative of -z**6/540 - z**5/45 - z**4/9 - 8*z**3/27 - z**2. Factor n(p).
-2*(p + 2)**3/9
Let w = 3187/18 + -177. Let r(h) be the second derivative of -1/9*h**3 + h - w*h**4 + 0 + 0*h**2. Determine m so that r(m) = 0.
-1, 0
Let b(v) = 6*v**4 + 10*v**3 + 14*v**2 + 4*v + 2. Let u = -6 - 5. Let c(z) = 31*z**4 + 49*z**3 + 71*z**2 + 20*z + 11. Let h(m) = u*b(m) + 2*c(m). Factor h(s).
-4*s*(s + 1)**3
Let f be (-178)/(-12) + 2/12. Factor f + 7*o - 19*o - 11 - 7*o**2.
-(o + 2)*(7*o - 2)
Factor 2/7*d + 2/7*d**2 + 0.
2*d*(d + 1)/7
Suppose 6/13 + 4/13*g**2 - 10/13*g = 0. Calculate g.
1, 3/2
Let f(x) = 2*x**3 + 2*x**2 - 2*x - 2. Let g(q) = q**4 + q**3 - q - 1. Let p(w) = f(w) - 2*g(w). Factor p(b).
-2*b**2*(b - 1)*(b + 1)
Let p(v) be the second derivative of -v**6/10 - 9*v**5/20 - 3*v**4/4 - v**3/2 + 4*v. Factor p(j).
-3*j*(j + 1)**3
Let w(p) = p**3 - 2*p**2 + 3*p + 1. Let k be w(3). Suppose 2*j - k = 7. Suppose -372*u**2 - 98*u**4 + 3 - 136*u - 6 - j - 350*u**3 = 0. What is u?
-2, -1, -2/7
Let s(p) be the first derivative of 3*p**5/40 + p**4/3 + 7*p**3/12 + p**2/2 - 4*p + 2. Let r(i) be the first derivative of s(i). Solve r(y) = 0 for y.
-1, -2/3
Let h(d) be the first derivative of 1/10*d**4 - 1/5*d**2 + 2/15*d**3 - 3 - 2/25*d**5 + 0*d. Factor h(i).
-2*i*(i - 1)**2*(i + 1)/5
Suppose 81 = 5*q - 244. Let j be (4/(-10))/((-13)/q). Factor 2/9 + 0*x - 2/9*x**j.
-2*(x - 1)*(x + 1)/9
Suppose 4*x + 53 = 1. Let n = x - -40/3. Suppose n*d**2 - 1/3 + 0*d = 0. Calculate d.
-1, 1
Let n(c) = -5*c - 7. Let r be -1*3 - (-11 - -10). Let h be n(r). Factor 0 + 0*a**2 - 2/9*a + 2/9*a**h.
2*a*(a - 1)*(a + 1)/9
Let p(w) be the third derivative of w**5/140 + 5*w**4/28 + 25*w**3/14 - 9*w**2. Factor p(x).
3*(x + 5)**2/7
Suppose 2*n + n = 12. Suppose -5*z = -4*i - 27, 2*z - 3*z = -n*i - 15. Factor 0*q**z - 5*q - q**3 + 4*q**2 + 2 + 0.
-(q - 2)*(q - 1)**2
Let x be (12/(-8))/(1/(-2)). Factor -v**2 + v**2 + 3*v**3 - v**2 + v**x.
v**2*(4*v - 1)
Let c(y) = -6*y**4 - 12*y**3 - 6*y**2 - 2*y - 2. Let m(w) = -w**5 + 29*w**4 + 60*w**3 + 29*w**2 + 10*w + 11. Let i(z) = -11*c(z) - 2*m(z). Factor i(d).
2*d*(d + 1)**4
Suppose 4*a - 15 - 1 = 0. Let 6*t**2 + 2*t**4 + 0*t**a - 3*t**2 - 2*t - 3*t**4 = 0. Calculate t.
-2, 0, 1
Let y(p) be the third derivative of 1/70*p**7 + 0*p**3 + 0*p**4 + 1/80*p**6 + 0*p + 1/224*p**8 + 0 + 7*p**2 + 0*p**5. Determine o, given that y(o) = 0.
-1, 0
Let v be 28/13 - (-10)/(-65). Find c such that -c**v - c**3 - 2*c**2 + 4*c**2 = 0.
0, 1
Let k(i) be the first derivative of -i**4/14 + 4*i**3/21 - i**2/7 + 11. Let k(g) = 0. What is g?
0, 1
Factor 4*j - 6*j**5 - 4*j - 2*j - 24*j**3 + 12*j**2 + 20*j**4.
-2*j*(j - 1)**3*(3*j - 1)
Let p(x) = -x + 7. Let n be p(4). Suppose 4*d = 2*m - 11 - n, 0 = 2*m + 3*d. Factor -m*q**2 + 3*q**2 + 4*q + 2*q**2 + 2.
2*(q + 1)**2
Let z(b) = -b + 2. Let s be z(4). Let w be 1/(-4)*(-1 + s). Factor -w*k**2 - 1/4*k**3 + 0*k + 1.
-(k - 1)*(k + 2)**2/4
Factor 27/7 + 3/7*s**2 + 18/7*s.
3*(s + 3)**2/7
Let x(o) = o**2 + 2*o + 3. Let k be x(-2). Let g(a) be the first derivative of 4/7*a - a**2 - 6/7*a**k - 1. Suppose g(v) = 0. Calculate v.
-1, 2/9
Let x(q) be the third derivative of q**5/120 - q**4/48 - q**3/2 - 11*q**2. Factor x(t).
(t - 3)*(t + 2)/2
Let v be -1*(0 + 3 - (2 - -4)). Factor -1/4 - 1/4*l + 1/4*l**2 + 1/4*l**v.
(l - 1)*(l + 1)**2/4
Let z be (15/(-35) - 3) + 4. Determine d, given that -2/7*d**3 + 2/7*d + 4/7*d**2 - z = 0.
-1, 1, 2
Let w(o) = -2*o**4 + 4*o**3 + 2*o**2 - 4*o - 2. Let y = 2 - -2. Let k = 2 - y. Let g(c) = -c**3 + c + 1. Let i(n) = k*g(n) - w(n). Factor i(d).
2*d*(d - 1)**2*(d + 1)
Let f be (11 - 1) + 104/(-13). Solve 0 - 1/3*j - 1/3*j**f = 0.
-1, 0
Let c(a) be the first derivative of 0*a**4 - 3/2*a**2 + 0*a + 0*a**3 + 1/300*a**6 - 1/75*a**5 + 1. Let i(b) be the second derivative of c(b). Factor i(p).
2*p**2*(p - 2)/5
Let c(o) be the first derivative of 16*o**3 + 8*o**2 + 4*o/3 + 6. Factor c(u).
4*(6*u + 1)**2/3
Suppose -3*l - l - 1228 = 0. Let c = -899/3 - l. Factor -4/3 - 8*w**2 + c*w.
-2*(3*w - 2)*(4*w - 1)/3
Let b(z) be the first derivative of -2*z**3/33 + 1. What is x in b(x) = 0?
0
Suppose 4*l + 11 = 5*g, 0*g + 3*g - 14 = -5*l. Factor -70*j**3 + 13*j - 4 - 45*j**2 - g*j**4 - 24*j**2 - 41*j - 22*j**4.
-(j + 1)**2*(5*j 