 0*q - 2/7*q**2 + 0*q**3 + 0.
2*q**2*(q - 1)*(q + 1)/7
Let m(u) = u**3 + 8*u**2 + 6*u - 8. Let r be m(-7). Let w(g) = 2*g. Let t(c) = -c**4 + c**2 + c. Let p(v) = r*w(v) + 2*t(v). Factor p(a).
-2*a**2*(a - 1)*(a + 1)
Factor 18/13*t**3 + 24/13*t**4 + 0 + 0*t + 4/13*t**2 + 10/13*t**5.
2*t**2*(t + 1)**2*(5*t + 2)/13
What is y in -1/2*y**4 + 0*y + 0*y**2 + 0 + 0*y**3 - 1/2*y**5 = 0?
-1, 0
Let u(g) = g**3 + g**2 + 7*g. Suppose -4*s - 2*m = 0, -8*m = -4*m - 16. Suppose -o = o - 28. Let z(p) = p. Let q(i) = o*z(i) + s*u(i). Solve q(y) = 0 for y.
-1, 0
Suppose 0 = 4*p - 20, -2*c = p + 24 - 101. Let d = c - 34. Factor -1/4 - 1/2*r**d - 1/4*r**5 - 1/2*r**3 + 3/4*r + 3/4*r**4.
-(r - 1)**4*(r + 1)/4
Let d(k) be the third derivative of -k**8/84 + 2*k**7/35 + k**6/30 - 7*k**5/15 + 8*k**3/3 + 4*k**2. Determine l so that d(l) = 0.
-1, 1, 2
Let h(g) be the first derivative of -1 - 1/5*g**2 - 1/10*g**4 + 0*g + 4/15*g**3. Solve h(k) = 0 for k.
0, 1
Suppose 2*n - 6 = -3*s + 6*s, n - 3 = -4*s. Let z(u) be the second derivative of 3*u + 1/36*u**4 + s + 1/9*u**3 + 1/6*u**2. Find j such that z(j) = 0.
-1
What is r in 0 - r**2 - 2/5*r + 1/5*r**5 + 1/5*r**4 - 3/5*r**3 = 0?
-1, 0, 2
Let o(q) be the first derivative of 1/3*q**2 + 0*q**4 + 4/15*q**5 - 1/9*q**6 - 5 + 0*q - 4/9*q**3. Solve o(m) = 0 for m.
-1, 0, 1
Let t(a) = a**3 - a**2 - a + 2. Let x be t(0). Let l(h) be the first derivative of -10/9*h**3 + 2/3*h**2 - x - 2/15*h**5 + 2/3*h**4 + 0*h. Factor l(b).
-2*b*(b - 2)*(b - 1)**2/3
Let 49*y**2 + 4*y**3 - 4*y**5 - 49*y**2 = 0. What is y?
-1, 0, 1
Let v be ((-6)/15)/((-2)/10). Solve 5*q**2 - 4*q**2 + 9*q**4 + 2*q**5 + 6*q**3 + v*q**5 = 0.
-1, -1/4, 0
Let l(j) be the second derivative of -7*j**5/20 + 13*j**4/6 - 10*j**3/3 - 4*j**2 - 14*j. Factor l(z).
-(z - 2)**2*(7*z + 2)
Let b(d) be the third derivative of 2*d**7/315 + d**6/135 - d**5/90 - d**4/36 + d**3/6 + 2*d**2. Let x(s) be the first derivative of b(s). Factor x(t).
2*(2*t - 1)*(2*t + 1)**2/3
Let b be (-20)/665 + (-6)/21. Let k = b - -43/76. Factor -k + 5/4*r**3 - 3/4*r**2 + r**4 - 5/4*r.
(r - 1)*(r + 1)**2*(4*r + 1)/4
Suppose 0 = 7*d - 0*d. Determine j so that 0 + d*j - 1/3*j**4 - 1/6*j**3 - 1/6*j**5 + 0*j**2 = 0.
-1, 0
Let g(p) be the first derivative of 4*p**5/45 + 5*p**4/18 + 8*p**3/27 + p**2/9 + 33. Solve g(t) = 0 for t.
-1, -1/2, 0
Let d(r) be the first derivative of r**5/5 - r**3 - r**2 + 42. Let d(h) = 0. What is h?
-1, 0, 2
Let l(x) = -5*x**2 + 4*x - 6. Let h(g) = 5*g**2 - 3*g + 7. Let c(b) = -6*h(b) - 7*l(b). Factor c(r).
5*r*(r - 2)
Let n = 1178/3 - 392. Suppose 4*g + 6 + n*g**2 = 0. What is g?
-3
Let q(x) = x**3 - 4*x**2 - 11*x - 2. Let t be q(6). Factor 0 - 1/3*w**t + 0*w - 2/3*w**3 - 1/3*w**2.
-w**2*(w + 1)**2/3
Let p = -263 - -186. Let w be ((-22)/p)/((-8)/(-14)). Factor -2 + 2*l - w*l**2.
-(l - 2)**2/2
Factor 0*w + 0 + 2/5*w**5 - 6/5*w**4 + 0*w**2 + 4/5*w**3.
2*w**3*(w - 2)*(w - 1)/5
Factor -8 + 2*g**2 + 3 + 1 + 2.
2*(g - 1)*(g + 1)
Find u such that -4/7 + 4/7*u**2 + 0*u = 0.
-1, 1
Let c = -14399/36 - -400. Let i(a) be the third derivative of 0 + 1/180*a**6 + 0*a**3 + 1/15*a**5 - 8/105*a**7 + 0*a + 2/63*a**8 + c*a**4 + 2*a**2. Factor i(l).
2*l*(l - 1)**2*(4*l + 1)**2/3
Let z be -2*(-10)/(-80) + 37/20. Factor -6/5*v**2 - 28*v**3 + 8*v + z + 98/5*v**4.
2*(v - 1)**2*(7*v + 2)**2/5
Let d = 34 + -19. Suppose -3*g + d = -0*g. Solve g*b**2 - 2*b**2 + b - 2*b**2 = 0 for b.
-1, 0
Let s(h) be the second derivative of -2*h**6/15 - h**5 - 3*h**4 - 14*h**3/3 - 4*h**2 + 2*h. Factor s(g).
-4*(g + 1)**3*(g + 2)
Let u = -286 - -1177/4. Let j = u - 8. Factor -3/2*l**2 - l**3 - l - 1/4 - j*l**4.
-(l + 1)**4/4
Let q(r) be the first derivative of r**5/60 - r**4/36 - r**3/18 + r**2/6 - r + 2. Let u(g) be the first derivative of q(g). Factor u(x).
(x - 1)**2*(x + 1)/3
Suppose 2*p + 4*i - 22 = 0, 3*p = -3*i + 35 + 7. Find z such that 9*z**2 - 4*z**3 + 3*z + 2*z**3 + z**5 - 2 - 10*z + 2*z**4 - p*z**2 = 0.
-1, 2
Let r = 254/171 + -24/19. Factor -2/3*w**2 + 0 - r*w**4 - 2/9*w - 2/3*w**3.
-2*w*(w + 1)**3/9
Factor 7*v**4 + 2*v**3 - 2*v**4 - v**4 - 6*v**4 + 4*v**2.
-2*v**2*(v - 2)*(v + 1)
Let r(y) = -y**2 + 17*y + 113. Let s be r(22). Factor 0 - 1/4*o**s - 1/2*o**2 - 1/4*o.
-o*(o + 1)**2/4
Let s be (3/4)/(210/112). Let y(w) be the first derivative of 0*w**2 + 0*w + s*w**5 + 2/3*w**3 + 2 + w**4. Let y(h) = 0. What is h?
-1, 0
Let d(q) be the first derivative of q - 1/60*q**5 + 1/36*q**4 - 1/6*q**2 + 2 + 1/18*q**3. Let y(r) be the first derivative of d(r). Solve y(f) = 0.
-1, 1
Let j be 0/(1/(1/(-3))). Factor 0*n - 3*n**3 + 3*n**2 + j*n - 9*n**4 + 9*n**3.
-3*n**2*(n - 1)*(3*n + 1)
Let w(y) be the third derivative of -y**6/120 + y**5/20 - y**4/12 + y**2. Find v such that w(v) = 0.
0, 1, 2
Let j be 1 + (60/(-18) - (-2 + -1)). Factor 1/3*n**4 + 5/3*n**3 + j + 3*n**2 + 7/3*n.
(n + 1)**3*(n + 2)/3
Suppose -k + 6 + 2 = 0. Let h be 80/12*2/k. Factor 0 - 2/3*p - 7/3*p**2 - h*p**3.
-p*(p + 1)*(5*p + 2)/3
Let j(k) be the first derivative of k**4/4 + 2*k**3/3 - 4. Factor j(l).
l**2*(l + 2)
Let d be 0/(-2)*1/(-2). Suppose 6*n + d*n - 12 = 0. Factor 0*a + 0 + 0*a**n + 2/5*a**3 - 2/5*a**4.
-2*a**3*(a - 1)/5
Let k(d) = 5*d**2 + 5*d + 8. Let r(b) = -9*b**2 - 9*b - 15. Let q(u) = -11*k(u) - 6*r(u). Factor q(w).
-(w - 1)*(w + 2)
Let q be 14/(-2 + 4 + 0). Suppose 27*d**4 + 6*d**3 + q*d - 7*d = 0. What is d?
-2/9, 0
Let s(g) be the first derivative of -2/3*g**3 - 2/5*g**2 + 2 - 2/5*g**4 + 0*g - 2/25*g**5. Find x, given that s(x) = 0.
-2, -1, 0
Let z(j) = -11*j**3 - 7*j**2 + 2*j - 2. Let g(i) = 5*i**3 + 3*i**2 - i + 1. Let r(a) = -9*g(a) - 4*z(a). Factor r(o).
-(o - 1)**2*(o + 1)
Let c(s) be the first derivative of s**5/6 + 5*s**4/8 - 5*s**2/3 + 14. Factor c(z).
5*z*(z - 1)*(z + 2)**2/6
Let l be (-3 + 3 - -4) + -12. Let b(n) = -n**4 + n**3 - n. Let r(j) = -12*j**4 + 12*j**3 - 8*j. Let u(w) = l*b(w) + r(w). Determine c so that u(c) = 0.
0, 1
Let f(d) = 7*d - 4. Let s(w) = 8*w - 5. Let p(i) = 4*f(i) - 3*s(i). Let a be p(1). Factor 6*l + l**2 - 6 - a*l + 8.
(l + 1)*(l + 2)
Let z = 8 - 3. Factor -x**3 + 12*x - z*x**3 - 18*x**2 - 8*x**3 + 56*x**2.
-2*x*(x - 3)*(7*x + 2)
Factor -4*x**5 + 8 + 8*x**2 - 19*x**4 + x**4 - 16*x**3 + 2*x**4 + 20*x.
-4*(x - 1)*(x + 1)**3*(x + 2)
Let b(u) = -u**2 + 6*u - 3. Let p(a) = a**2 - 5*a + 2. Let l(o) = 4*b(o) + 5*p(o). What is d in l(d) = 0?
-1, 2
Let m be (3/2 - 1)*-6. Let f be m/(-5) + (-66)/(-40). Determine u, given that 1 + 39/4*u**4 - 67/4*u**3 - 6*u - f*u**5 + 57/4*u**2 = 0.
2/3, 1
Let q(y) be the first derivative of 2/9*y**3 + 2/3*y + 2/3*y**2 + 3. Factor q(u).
2*(u + 1)**2/3
Let n(w) be the second derivative of -w**4/18 - w**3/9 + 2*w**2/3 - 20*w. Factor n(x).
-2*(x - 1)*(x + 2)/3
Suppose -2*a = -g - 1 + 6, a + 2*g = 10. Let v(h) be the second derivative of h + a - 1/48*h**4 - 1/12*h**3 - 1/8*h**2. Factor v(w).
-(w + 1)**2/4
Let d = -469/2 + 262. Let y = d + -26. Factor y - 3/4*g**2 + 3/4*g.
-3*(g - 2)*(g + 1)/4
Let p(q) be the third derivative of -q**5/330 + 5*q**2. Factor p(n).
-2*n**2/11
Factor -1/4*k**3 + 0 - 1/8*k**5 + 0*k - 3/8*k**4 + 0*k**2.
-k**3*(k + 1)*(k + 2)/8
Let h be 31 + -34 - 17/(-5). Factor h*g - 2/5*g**2 - 2/5*g**3 + 2/5.
-2*(g - 1)*(g + 1)**2/5
Factor -16*y**5 + 7*y**3 - 5*y**2 + 8*y**2 + 13*y**4 - 5*y**4 - 2*y**2.
-y**2*(y - 1)*(4*y + 1)**2
Let m(q) = -q**2 - 10*q - 19. Let r be m(-6). Factor 2/5*u**r - 4/5*u**4 + 0*u**2 + 0*u + 0 + 2/5*u**3.
2*u**3*(u - 1)**2/5
Let h = 4 + -4. Let v(x) be the third derivative of 1/108*x**4 + h*x**3 + 0*x - 1/270*x**5 - x**2 + 0. Factor v(o).
-2*o*(o - 1)/9
Let k(h) be the first derivative of 2*h**5/55 - h**4/11 - 2*h**3/33 + 2*h**2/11 - 5. Factor k(i).
2*i*(i - 2)*(i - 1)*(i + 1)/11
Let g(q) be the second derivative of -5*q**7/42 - 4*q**6/3 - 11*q**5/2 - 35*q**4/3 - 85*q**3/6 - 10*q**2 + 3*q. Factor g(y).
-5*(y + 1)**4*(y + 4)
Let b(l) be the first derivative of 7*l**6/3 + 36*l**5/5 - 68*l**4/7 - 992*l**3/21 - 240*l**2/7 - 64*l/7 + 4. What is f in b(f) = 0?
-2, -2/7, 2
Let r = 21 - 18. Let d(y) be the third derivative of -1/180*y**6 + 0*y + 0*y**r - 1/36*y**4 + 1/45*y**5 + 0 + 4*y**2. What is q in d(q) = 0?
0, 1
Let g(y) be the first derivative of -2*y**5/105 + 2*y**3/63 + 37. Solve g(l) = 0 for l.
-1, 0, 1
Factor 8/9 - 8/9*t + 2/9*t**2.
2*(t - 2)**2/9
Let