e 4/((-12)/93) + -3. Let r = m - -63. Factor 0*w**3 + r - 2*w**3 - 21 - 6*w**2.
-2*(w - 1)*(w + 2)**2
Let f(b) = 4*b**2 - 2*b + 1. Let l be f(1). Suppose 1 = l*w - j - 13, -4*w + 3*j = -27. Let -3*o**3 - 2*o**4 - 2*o**3 + 4*o**3 + w*o**4 = 0. What is o?
0, 1
Let w be 0/(-2 + 10 - (-1378)/(-106)). Suppose 1/2*a**2 + w*a + 0 = 0. What is a?
0
Suppose 0 = -8*s + 181 + 19. Suppose 28*z - 12 = s*z. Suppose -y**3 + 7/3*y**2 + 5/3*y**5 - 7/3*y**z + 0 - 2/3*y = 0. What is y?
-1, 0, 2/5, 1
Let n(d) = -d**2 - 3*d + 9. Let l be n(-4). Suppose -5*v - 8 = -c + 5*c, l*c - 35 = 5*v. Find u, given that 0*u**c + 3/2*u**4 + 0 + 0*u**2 + 0*u = 0.
0
What is y in 4/9*y**2 - 2/9*y**5 - 4/3*y**3 + 14/9*y - 10/9*y**4 + 2/3 = 0?
-3, -1, 1
Let q(x) = -x**4 + 6*x**3 - 13*x**2 + 2*x - 2. Let n(r) = r**4 - 2*r**3 - r**2 - r + 1. Let w(g) = -6*n(g) - 3*q(g). Factor w(y).
-3*y**2*(y - 3)*(y + 5)
Let m(p) be the second derivative of 5*p + 0 - 10/3*p**3 - 1/4*p**5 + 0*p**2 - 5/3*p**4. Suppose m(l) = 0. Calculate l.
-2, 0
Let p(l) be the first derivative of 18 + 6/7*l + 9/14*l**2 + 1/7*l**3. Suppose p(k) = 0. What is k?
-2, -1
Let g = -1931 - -1933. Let -2/7*n**4 + 4/7*n**g + 1/7*n**3 - 3/7*n + 0 = 0. What is n?
-3/2, 0, 1
Factor 1152/11 + 2/11*u**4 - 960/11*u - 40/11*u**3 + 296/11*u**2.
2*(u - 6)**2*(u - 4)**2/11
Let k(n) be the first derivative of n**6/3 - 2*n**4 + 405. Factor k(s).
2*s**3*(s - 2)*(s + 2)
Let s(x) be the first derivative of 25*x**4/12 + 5*x**3/3 - 22*x + 23. Let y(u) be the first derivative of s(u). Let y(w) = 0. Calculate w.
-2/5, 0
Factor 8*k**3 + 6*k**4 + 2/3 - 4/3*k**2 - 8/3*k.
2*(k + 1)**2*(3*k - 1)**2/3
Let j be (-30)/49*((-9757)/968 - -10). Let b = 108341/1540 + j. Factor -32*f**2 - 64/5 + 98/5*f**5 - 532/5*f**4 + 848/5*f**3 - b*f.
2*(f - 2)**3*(7*f + 2)**2/5
Let m(p) be the third derivative of 0*p**3 + 1/204*p**4 - 1/510*p**5 + 0*p - 4*p**2 + 0. Factor m(a).
-2*a*(a - 1)/17
Let j be 72/15 + 1/5. Suppose 3*k - 15 = i - j, 0 = -5*k + 3*i + 18. Factor 1/3*y**4 - y**k - 1/3*y + y**2 + 0.
y*(y - 1)**3/3
Let q(l) = -19*l**2 - 121*l - 38. Let g be q(-6). Find j, given that 17/9*j**3 + 31/9*j**2 + 23/9*j + 2/3 + 1/3*j**g = 0.
-3, -1, -2/3
Suppose -s - 2*d = d + 14, 3*s - 5*d = 14. Let z be (s/3)/(9/(-54)). Solve -4*j**z + 4*j**2 + 4*j**4 - 3*j**2 - 2*j**3 - 3*j**4 = 0.
-1, 0, 1/3
Let t(k) be the second derivative of k**5/45 + 2*k**4/9 - 32*k**3/27 - 33*k. Factor t(i).
4*i*(i - 2)*(i + 8)/9
Let s(x) = -x**3 - 5*x**2 + 2. Let u be s(-5). Determine v, given that 15*v**u + 5*v - 6*v**3 - 18*v**3 - 6*v**3 - 40*v**4 = 0.
-1, -1/4, 0, 1/2
Let g = -51737/221 + 3051/13. Factor -2/17*s**2 - g*s - 8/17.
-2*(s + 1)*(s + 4)/17
Let n be 1*9 + (-832)/96. Determine x so that x**3 + 0 + 1/3*x**4 + x**2 + n*x = 0.
-1, 0
Let b(t) be the first derivative of t**5/5 - 7*t**4/4 + 14*t**3/3 - 4*t**2 + 190. Factor b(i).
i*(i - 4)*(i - 2)*(i - 1)
Suppose 2*x + 17*r - 19 = 22*r, 0 = 3*x + 2*r. Factor 7/5*t**5 + t**4 + 4/5 - 23/5*t**3 - 4/5*t - 29/5*t**x.
(t - 2)*(t + 1)**3*(7*t - 2)/5
Let h be 6*3 + 250 + -266. Let 5*j**h + 56/5*j + 16/5 + 3/5*j**3 = 0. Calculate j.
-4, -1/3
Suppose 0 = -2*l + l. Let d be (-2 + l)/((-2)/3). Suppose 0*j**4 - 2*j**2 + 3*j**4 + 3*j**3 + 0*j**d - 4*j**4 = 0. What is j?
0, 1, 2
Let b(f) = 16*f + 592. Let d be b(-37). Solve d + 12/5*n - 4/5*n**2 = 0 for n.
0, 3
Factor -35*h + 47*h**4 + 10*h**2 - 24*h**4 + 20*h**3 - 25*h - 14 - 28*h**4 - 31.
-5*(h - 3)**2*(h + 1)**2
Let s = -804121 + 50656093/63. Let f = s - -400/7. Solve 10/3*l**3 - 8/9*l + 4/9*l**4 + 8/9*l**2 + 0 - f*l**5 = 0 for l.
-1, 0, 2/5, 2
Let d = -1 + 1. Let m = d + 2. Suppose -7*f**3 + 5*f**3 + m*f**5 - f**5 + 6*f - 5*f = 0. What is f?
-1, 0, 1
Let c(k) be the second derivative of 1/42*k**7 + 0 + 1/2*k**3 + 0*k**2 + 34*k + 1/5*k**6 + 5/6*k**4 + 3/5*k**5. Determine u so that c(u) = 0.
-3, -1, 0
Let n = 103/266 + 15/133. Let m(c) be the second derivative of 1/12*c**3 + 0 - n*c**2 - 7*c + 1/24*c**4. Factor m(h).
(h - 1)*(h + 2)/2
Suppose 3*d - 5*d = -25*d. Let i(l) be the third derivative of -1/20*l**5 + d + 1/16*l**4 + 0*l + 0*l**3 + 4*l**2. Factor i(j).
-3*j*(2*j - 1)/2
Let d(i) be the first derivative of 3*i**4/4 - 3*i**3 - 27*i**2/2 - 15*i + 33. Factor d(n).
3*(n - 5)*(n + 1)**2
Let d(o) = -3*o**3 - 6*o**2 - 3*o + 6. Let w(g) = -2*g**3 - g**2 - g + 2. Let u(f) = d(f) - 3*w(f). Factor u(r).
3*r**2*(r - 1)
Let g(x) = -2*x**3 - 2*x**2 - 3*x - 3. Let w(u) = 3*u**3 + 4*u**2 + 5*u + 5. Let j(f) = -5*g(f) - 3*w(f). Factor j(r).
r**2*(r - 2)
Let d = -102 + 136. Suppose d*i - 31*i - 6 = 0. Factor -4/5 + 2*z**i - 14/5*z + 8/5*z**3.
2*(z - 1)*(z + 2)*(4*z + 1)/5
Let l be 22/121 + (-2)/11. Let m(c) = -3*c + 2. Let d be m(l). Let -4/11*o + 2/11 + 2/11*o**d = 0. Calculate o.
1
Let c(j) be the first derivative of j**6/6 + j**5/4 - 5*j**4/12 - 5*j**3/6 + 11*j - 1. Let z(h) be the first derivative of c(h). What is s in z(s) = 0?
-1, 0, 1
Let y(p) be the first derivative of -p**3 + 9*p**2/2 + 30*p - 89. Suppose y(o) = 0. Calculate o.
-2, 5
Let u be (21 - -2) + (-3248)/336. Suppose -310/3*h**2 - 20*h + 5*h**3 + 105*h**4 + u = 0. Calculate h.
-2/3, 2/7, 1
Let m(w) be the first derivative of w**3 + 27*w**2 + 243*w + 14. Factor m(b).
3*(b + 9)**2
Let x(z) = -3*z + 63. Let c be x(-20). Let w = -120 + c. Factor -1/2*l - 3/4*l**2 + 1/2*l**w + 3/4.
(l - 1)*(l + 1)*(2*l - 3)/4
Factor 10*a**2 + 5*a**2 - 4*a**3 - 7*a**2 + 12*a.
-4*a*(a - 3)*(a + 1)
Let x(j) = -14*j - 5. Let h be x(-2). Let f be h/45 + 26/(-234). Let -4/5 - 8/5*c**2 - 2*c - f*c**3 = 0. What is c?
-2, -1
Let m(v) be the second derivative of -v**6/180 - v**5/120 + 5*v**4/72 - v**3/12 + 9*v - 7. Factor m(u).
-u*(u - 1)**2*(u + 3)/6
Let b = 2/2057 - -8210/18513. Factor -4/9 - 1/9*l**2 - b*l.
-(l + 2)**2/9
Let f(z) be the first derivative of 4*z**5/5 - 4*z**4 - 20*z**3/3 - 49. Factor f(l).
4*l**2*(l - 5)*(l + 1)
Let h(g) = -g**2 - 6*g + 3. Let f be h(-6). Let u be 1 - (-8)/4 - f. Suppose 1/2*x**4 + u + 2*x**2 + 0*x - 2*x**3 = 0. Calculate x.
0, 2
Let m = -1/418 + 105/209. Factor -m + 0*s + 1/2*s**2.
(s - 1)*(s + 1)/2
Let f(h) be the third derivative of h**5/20 + 7*h**4/8 - 9*h**3 + 93*h**2. Solve f(t) = 0 for t.
-9, 2
Solve -4/7*g + 4/7*g**2 + 0 = 0 for g.
0, 1
Let s(i) = -14*i**3 + 2*i**2 + 2*i + 2. Let z be s(-4). Find p such that z*p**2 - 10*p + p - 9*p**3 + 6 - 946*p**2 = 0.
-2, -1, 1/3
Suppose 0 = -6*s + 4*s + 4. Let u(y) be the first derivative of 5 - 8/9*y**s + 10/27*y**3 - 8/9*y. Solve u(p) = 0.
-2/5, 2
Let f(x) be the third derivative of 0*x**3 + 0 - 2/105*x**7 + 0*x**6 + 1/15*x**5 - 1/168*x**8 + 1/12*x**4 - 8*x**2 + 0*x. Factor f(h).
-2*h*(h - 1)*(h + 1)**3
Let r be 6/4*26/819. Let q(k) be the first derivative of 3/14*k**4 + 0*k**2 + r*k**6 + 4 + 6/7*k**3 - 2/7*k**5 + 0*k. Factor q(g).
2*g**2*(g - 3)**2*(g + 1)/7
Let 1/6*b**3 + 4/3 - 5/6*b**2 + 1/3*b = 0. What is b?
-1, 2, 4
Let -40/7*l - 200/7 - 2/7*l**2 = 0. Calculate l.
-10
Let d(r) be the first derivative of 4*r**3/3 - 7*r**2/2 - 1. Let l(g) = 0*g + 5*g - 37*g**2 + 3*g + 33*g**2. Let t(k) = 4*d(k) + 3*l(k). Factor t(z).
4*z*(z - 1)
Let y be (3 + (-2 - -2))*16/24. Factor 6/7*z**5 + 30/7*z**3 - 22/7*z**4 + 4/7*z + 0 - 18/7*z**y.
2*z*(z - 1)**3*(3*z - 2)/7
Let c(w) = -5*w**3 - w**2 + 1. Let o(r) = 9*r**3 + 6*r**2 + 12*r - 2. Let f(y) = -10*c(y) - 5*o(y). Let f(v) = 0. Calculate v.
-2, 0, 6
Let k(l) be the third derivative of -13/192*l**4 - 1/240*l**5 + 0 + 25*l**2 + 0*l + 1/24*l**3 + 13/960*l**6. What is h in k(h) = 0?
-1, 2/13, 1
Let g be (-1262)/(-336) + 15*23/(-8280). Let 169/7 + 1/7*o**2 + g*o = 0. Calculate o.
-13
Suppose 38*u - 52 = 24. Solve 0 + 1/4*y**4 - 1/2*y - 1/4*y**5 - 1/4*y**u + 3/4*y**3 = 0.
-1, 0, 1, 2
Let k(s) = 10*s**3 + 38*s**2 - 9*s. Let f(b) = -2*b**3 - 10*b**2 + 2*b. Let z(n) = -9*f(n) - 2*k(n). Determine c so that z(c) = 0.
0, 7
Let h(l) be the second derivative of 0 + 1/40*l**4 + 1/12*l**3 + 1/10*l**2 - 2*l. Factor h(z).
(z + 1)*(3*z + 2)/10
Let h(b) = 31*b**2 + 91*b + 52. Let f(p) = -32*p**2 - 92*p - 48. Let s(y) = 3*f(y) + 4*h(y). Factor s(c).
4*(c + 2)*(7*c + 8)
Let f = 666647/15 - 44443. Let -14/15*s - 8/15 - 4/15*s**2 + f*s**3 = 0. Calculate s.
-1, 4
Suppose -7 + 1 = 6*k - 9*k. Factor 4/3 - 6*h + 8/3*h**k.
2*(h - 2)*(4*h - 1)/3
Let i(y) be the first derivative of 9/4*y*