, 0 = -2*g + m + 10. Factor g*w**4 + 2*w**3 + w**3 + 0*w**3.
3*w**3*(w + 1)
Let k be (-3)/(-5) + (-358)/30. Let a = 12 + k. Factor 0 - 2/3*w**2 + a*w.
-2*w*(w - 1)/3
Let v be (0 + 1)/(1/2). Find w, given that -3*w**3 + 4*w + 8 - w**2 - 9*w**3 - 15*w**v = 0.
-1, 2/3
Suppose -2*q = q. Suppose q*s = 4*s. Let s - 2/3*n**5 + 0*n**3 + 4/3*n**2 + 2/3*n - 4/3*n**4 = 0. What is n?
-1, 0, 1
Let t(m) = -5*m**2 + 4*m + 3. Let h(z) = 13*z**2 - 3*z - 4. Let p(s) = 6*s**2 - 2*s - 2. Let x(i) = -2*h(i) + 5*p(i). Let j(u) = 2*t(u) + 3*x(u). Factor j(w).
2*w*(w - 2)
Let i be 4/5 - (-86)/(-120). Let h(r) be the third derivative of -1/60*r**6 + 0*r**3 + 2*r**2 + 0*r + i*r**4 + 0 + 0*r**5. Factor h(y).
-2*y*(y - 1)*(y + 1)
Let k(m) = 9*m**2 + 20*m + 57. Let u(v) = 8*v**2 + 20*v + 56. Let g(j) = 6*k(j) - 7*u(j). Factor g(w).
-2*(w + 5)**2
Let f(c) be the second derivative of c**7/11340 + c**6/1080 + c**5/270 - c**4/3 - c. Let m(u) be the third derivative of f(u). Factor m(k).
2*(k + 1)*(k + 2)/9
Let f(r) be the third derivative of 6*r**2 + 1/84*r**4 + 1/420*r**5 + 0*r + 0 + 1/42*r**3. Factor f(h).
(h + 1)**2/7
Let f(s) be the second derivative of -s**6/5 + s**5/5 + 7*s**4/6 + 2*s**3/3 - 15*s. Factor f(r).
-2*r*(r - 2)*(r + 1)*(3*r + 1)
Let m(u) = 4*u**3 + 5*u**2 - 7*u + 7. Let k(y) = 2*y**3 + 3*y**2 - 3*y + 3. Let h(t) = 14*k(t) - 6*m(t). Determine f, given that h(f) = 0.
-3, 0
Let u(v) = 65*v**3 - 5*v**2 - 35. Let z(m) = 11*m**3 - m**2 - 6. Let n(a) = -6*u(a) + 35*z(a). Factor n(g).
-5*g**2*(g + 1)
Let i = 24 + -23. Let y = 6 - i. Let 6/5*k + 6/5*k**4 - 2/5 - 2/5*k**y - 4/5*k**3 - 4/5*k**2 = 0. Calculate k.
-1, 1
Let k(c) be the first derivative of -c**6/10 + 9*c**5/10 - 13*c**4/4 + 6*c**3 - 6*c**2 + 5*c - 6. Let q(n) be the first derivative of k(n). Factor q(r).
-3*(r - 2)**2*(r - 1)**2
Find r, given that 3*r**5 - 84*r**4 - r**5 + 78*r**4 = 0.
0, 3
Find b such that -1/4*b**2 - 1/2 + 3/4*b = 0.
1, 2
Let d = -985 - -177301/180. Let q(t) be the third derivative of -d*t**5 + 0*t + 0*t**4 + 0 + 0*t**3 + 1/360*t**6 - t**2. Factor q(f).
f**2*(f - 1)/3
Let u(k) be the first derivative of -k**4/10 - 8*k**3/15 - 44. Factor u(d).
-2*d**2*(d + 4)/5
Solve -6*j + 14/5*j**2 + 18/5 - 2/5*j**3 = 0 for j.
1, 3
Suppose 13*z - 15 - 24 = 0. Let o(v) be the third derivative of 3/10*v**z + 1/300*v**5 + 3*v**2 + 0 - 1/20*v**4 + 0*v. What is t in o(t) = 0?
3
Factor 2*g**4 + 0 + 0*g**2 + 0*g - 4/3*g**3 - 2/3*g**5.
-2*g**3*(g - 2)*(g - 1)/3
Let o(s) = 23*s**2 - 25*s + 35. Let w(z) = -8*z**2 + 8*z - 12. Let g(m) = -4*o(m) - 11*w(m). Factor g(l).
-4*(l - 2)*(l - 1)
Find k such that -3/2 + 3/4*k**2 - 9/4*k**3 + 9/4*k + 3/4*k**4 = 0.
-1, 1, 2
Let o(j) be the second derivative of -j**4/4 - j**3 - 23*j. Factor o(a).
-3*a*(a + 2)
Let s(h) be the second derivative of 25*h**4/12 - 55*h**3/6 + 5*h**2 + 20*h. Factor s(d).
5*(d - 2)*(5*d - 1)
Let y(n) = 4*n**3 - 12*n**2 - 15*n - 9. Let m(s) = s**3 - s**2. Let j(a) = -5*m(a) + y(a). Determine f so that j(f) = 0.
-3, -1
Let l(z) be the third derivative of -z**5/60 + z**4/24 + 5*z**2. What is d in l(d) = 0?
0, 1
Let s(b) be the second derivative of 0*b**3 - 1/3*b**4 + 0 + 2*b + b**2 + 0*b**5 + 1/15*b**6. Suppose s(d) = 0. Calculate d.
-1, 1
Let v be 6/(-3) - (1 + -5). Factor -v*f**2 - f + 4 - 2*f + f.
-2*(f - 1)*(f + 2)
Let z = -11 - -26. Suppose m = -4*m + z. Solve 3*w**4 - 2*w**4 + w**2 + w**3 - 3*w**m = 0 for w.
0, 1
Suppose -4*d + 12 = -0*d. Suppose -6 = -3*a - d*z, 3*a = -2*z + 6 - 0. Find m, given that -2/9*m**3 + 0 + 8/9*m**a - 8/9*m = 0.
0, 2
Let g = -16 + 10. Let o be -1 + g/3 + 6. Factor -1 - 4*l - l**2 + 3*l + o.
-(l - 1)*(l + 2)
Factor 18/5 - 39/5*z - 3/5*z**3 + 24/5*z**2.
-3*(z - 6)*(z - 1)**2/5
Suppose -j = -3*j. What is h in -h**5 + 3*h**5 - h**5 + j*h**5 = 0?
0
Let g(f) = -f**3 - 11*f**2 + f + 14. Let j be g(-11). Suppose -3*o + j*n = 6, -3*n + 5 = -1. Suppose -2/3*w**2 + o + 4/3*w = 0. Calculate w.
0, 2
Find d, given that 4/5*d + 2/5*d**2 + 0 = 0.
-2, 0
Let v(z) = z**3 - 7*z**2 - 8*z + 2. Let n be v(8). Let w = 2 - n. Determine h so that h**2 - h**4 + 7/2*h**3 - 7/2*h**5 + 0 + w*h = 0.
-1, -2/7, 0, 1
Let m(p) be the first derivative of -4*p**5/15 - 2*p**4/3 - 4*p**3/9 - 5. Suppose m(k) = 0. Calculate k.
-1, 0
Determine w so that -8/7*w**4 + 4/7*w - 1/7*w**3 + 8/7*w**2 - 3/7*w**5 + 0 = 0.
-2, -1, -2/3, 0, 1
Let h(d) be the first derivative of -2*d**5/5 + 3*d**4 - 26*d**3/3 + 12*d**2 - 8*d - 55. Let h(i) = 0. Calculate i.
1, 2
Factor 1/3*t**2 + 1/3 - 2/3*t.
(t - 1)**2/3
Let w(x) be the first derivative of -1/2*x**2 - 1/3*x**3 - 1 - x. Let j(k) = -5*k**2 - 4*k - 3. Let z(s) = 3*j(s) - 12*w(s). Factor z(n).
-3*(n - 1)*(n + 1)
Let m(d) be the third derivative of d**5/210 + d**4/84 - d**2. Factor m(u).
2*u*(u + 1)/7
Let o = -2806/5 - -562. Factor 6/5*y**4 - 2/5*y**2 + 8/5*y**3 + 0 - o*y.
2*y*(y + 1)**2*(3*y - 2)/5
Let x(r) be the first derivative of 3/10*r**2 - 14/15*r**3 + 2/5*r + 1/5*r**4 + 12/25*r**5 - 1 - 7/30*r**6. Find s, given that x(s) = 0.
-1, -2/7, 1
Let h = 18 - 25. Let c = -5 - h. Factor -j**4 - 2*j - 4*j + 5*j - 3*j**3 - 3*j**c.
-j*(j + 1)**3
Let n(d) be the first derivative of -d**4/38 + 2*d**3/19 + 9*d**2/19 + 10*d/19 - 4. Factor n(r).
-2*(r - 5)*(r + 1)**2/19
Factor 1462 + 8*c**4 - 3*c**4 - 40*c**2 - 1382.
5*(c - 2)**2*(c + 2)**2
Suppose -20 = 5*q - 60. Let i be q/(-8) + (-1 - -4). Factor -i*k**3 + 7 - 3 - 5*k**2 + k**2 + 2*k.
-2*(k - 1)*(k + 1)*(k + 2)
Factor 0 + 0*u - 1/2*u**2.
-u**2/2
Let u = 4/19 + -173/912. Let z(d) be the third derivative of 1/420*d**7 + u*d**4 - 1/120*d**5 - 1/240*d**6 + 2*d**2 + 0 + 0*d**3 + 0*d. Factor z(o).
o*(o - 1)**2*(o + 1)/2
Let v(q) be the third derivative of -q**7/350 + q**6/100 + q**5/25 - q**4/20 - 3*q**3/10 + q**2 - 8. Let v(l) = 0. Calculate l.
-1, 1, 3
Suppose 4*b - k = 9, 7 = 2*b - 0*b - 3*k. Factor -4*a**3 + a**2 - 3*a**5 + 7*a + a**2 - 8*a**2 + 8*a**4 - b.
-(a - 1)**3*(a + 1)*(3*a - 2)
Let j(g) be the second derivative of 7*g**6/2 - 29*g**5/4 - 80*g**4 - 90*g**3 - 40*g**2 - 22*g. Suppose j(m) = 0. Calculate m.
-2, -1/3, -2/7, 4
Let t(f) be the second derivative of 1/10*f**6 + 1/3*f**3 - 1/3*f**4 - 1/10*f**5 + 0 + 1/2*f**2 + 2*f. Factor t(w).
(w - 1)**2*(w + 1)*(3*w + 1)
Let q(k) be the first derivative of 1/180*k**6 - 1/36*k**4 - k**2 - 1/9*k**3 + 1/90*k**5 + 0*k - 3. Let j(n) be the second derivative of q(n). Factor j(l).
2*(l - 1)*(l + 1)**2/3
Factor -2/5*a**3 + 16/5 + 12/5*a**2 - 24/5*a.
-2*(a - 2)**3/5
Let r = -5703/10 - -571. Let u(t) be the first derivative of 9/8*t**4 - 3 + 0*t + r*t**5 + 1/3*t**3 + 0*t**2. Factor u(v).
v**2*(v + 1)*(7*v + 2)/2
Let b(u) be the first derivative of u**6/27 - u**4/9 + u**2/9 + 4. Factor b(x).
2*x*(x - 1)**2*(x + 1)**2/9
Let j(k) be the first derivative of -1/12*k**3 - 4 + 0*k - 1/8*k**2. Determine f, given that j(f) = 0.
-1, 0
Suppose 0*r + 18*r = 36. Factor 0 + 0*v - 3/4*v**r + 3/4*v**3.
3*v**2*(v - 1)/4
Let d(h) be the first derivative of 0*h + h**2 + 3/4*h**4 - 5 - 7/3*h**3. Factor d(w).
w*(w - 2)*(3*w - 1)
Let h(a) be the third derivative of 0*a - 1/42*a**8 - 3/20*a**6 - 11/105*a**7 + 0*a**3 - 1/30*a**5 + 0 - 6*a**2 + 1/12*a**4. Factor h(j).
-2*j*(j + 1)**3*(4*j - 1)
Let l(f) be the first derivative of -f**6/420 + f**5/70 - f**4/42 + 5*f**2/2 + 6. Let b(g) be the second derivative of l(g). What is p in b(p) = 0?
0, 1, 2
Let b(c) be the third derivative of -2*c**2 + 0*c**3 + 0*c + 0 - 1/30*c**5 - 1/6*c**4. Let b(w) = 0. Calculate w.
-2, 0
Let w be (36/(-54))/((-2)/9). Find y such that 26/9*y**2 - 32/9*y + 8/9 - 2/3*y**w = 0.
1/3, 2
Suppose 0 + 0*t + 1/2*t**2 - 1/6*t**3 = 0. What is t?
0, 3
Let z be ((-2)/(-2))/((-1)/(-4)). Factor -2*i**5 - 3*i**z - 4*i**4 + 5*i**4.
-2*i**4*(i + 1)
Suppose -2*j - 3 = j, 4*j + 4 = 5*g. Let n(i) be the first derivative of -2/9*i**3 + 1/15*i**5 - 2 + g*i**4 + 0*i**2 + 1/3*i. What is r in n(r) = 0?
-1, 1
Determine z, given that -1/2 + 1/2*z - 1/8*z**2 = 0.
2
Suppose -2*a - 4 + 0 = 0. Let l be (a/(-3))/(3 - 1). Find j such that -1/3*j**3 + 1/3*j - l*j**2 + 1/3 = 0.
-1, 1
Let s(l) = 2*l**2 + 3*l - 2. Let y be s(-3). Let x(c) = c**2 - 7*c + 2. Let u be x(y). Factor 8*t**4 + 8*t**u - 2 - 2*t**5 + 2*t + 4*t**5 + 2 + 12*t**3.
2*t*(t + 1)**4
Suppose 5*s - 12 = 2*s. Find f such that 2*f**4 - 2*f - 2*f**5 - 2*f**4 + s*f**