**2/2
Let g(l) = -l**3 - 7*l**2 + 8*l + 2. Let i be g(-8). Factor 2 + 2*y - i*y**2 - 3*y - 2*y**3 + 3*y + 0*y**3.
-2*(y - 1)*(y + 1)**2
Suppose -2*y - 2*v = -4*v + 4, 2 = y + v. Let z(x) be the first derivative of 2 + 4/9*x**3 + y*x - 1/6*x**4 - 1/3*x**2. Factor z(j).
-2*j*(j - 1)**2/3
Let s(z) be the third derivative of -z**9/90720 + z**8/10080 - z**7/3780 + z**5/60 + 3*z**2. Let n(y) be the third derivative of s(y). Factor n(h).
-2*h*(h - 2)*(h - 1)/3
Let t(k) = k - 5. Let r be t(9). Let v(o) = -4*o - 2 + 0 + 2*o**2 + 6 + r*o**2. Let i(g) = 5*g**2 - 3*g + 3. Let q(y) = -4*i(y) + 3*v(y). Factor q(f).
-2*f**2
Let r(h) = -2*h**3 + 5*h**2 + 25*h + 18. Let x(w) = -5*w**3 + 15*w**2 + 75*w + 55. Let n(v) = 10*r(v) - 3*x(v). Factor n(l).
-5*(l - 3)*(l + 1)**2
Let k = -8 - -12. Suppose -o - f + 5 = 0, 0 = o + k*f - 0*f - 14. Factor 1/2*v**o - 2*v + 2.
(v - 2)**2/2
Let b(c) be the second derivative of c**4/28 + 9*c**3/7 + 243*c**2/14 + 27*c. Factor b(x).
3*(x + 9)**2/7
Let o be (-3)/2*32/12. Let t = o + 6. What is x in x**2 + x**3 - 2*x**3 - t*x**2 = 0?
-1, 0
Suppose 3*s + 1 = 10. Determine z, given that -3*z**4 + 4*z**4 + 2*z**3 + s*z**4 + 4*z**3 - 2*z = 0.
-1, 0, 1/2
Let x(s) = -10*s**2 + 28*s - 98. Let k(p) = p**2. Let a(l) = -8*k(l) - x(l). Suppose a(u) = 0. What is u?
7
Let t be -8 - -2 - (-3 + 5). Let p be 2/t*112/(-49). Find w such that 2/7*w**5 - 2/7*w**4 + p*w**2 - 4/7*w**3 - 2/7 + 2/7*w = 0.
-1, 1
Let x be (1 - 0) + (-85)/119. Let v = 3 + -1. Suppose 0*g - x + 2/7*g**v = 0. Calculate g.
-1, 1
Let n(h) = -h**4 - h**3 + h**2 + h - 1. Let i(z) = 5*z**4 + z**3 - z**2 - 5*z + 4. Let p(k) = -i(k) - 4*n(k). Factor p(j).
-j*(j - 1)**3
Let a = 33 + -29. Let t(v) be the third derivative of -1/6*v**3 + 3*v**2 + 0 + 0*v - 1/40*v**6 + 1/8*v**a - 1/60*v**5 + 1/105*v**7. What is u in t(u) = 0?
-1, 1/2, 1
Factor 2*v + 2*v**3 + 1/2 + 1/2*v**4 + 3*v**2.
(v + 1)**4/2
Let a(t) = -4*t - 1. Let w be a(-1). Solve 3*h**w + 8 + 10*h**2 - 2*h**3 - 16*h + 3*h**3 - 6*h**3 = 0.
1, 2
Let v(u) be the third derivative of -u**8/13440 - u**7/3360 + u**6/240 + u**5/60 + u**2. Let p(b) be the third derivative of v(b). Solve p(s) = 0 for s.
-2, 1
Suppose -z + 3*z = 12*z. Factor 2/7*m**5 + 12/7*m**4 + z + 24/7*m**2 + 8/7*m + 26/7*m**3.
2*m*(m + 1)**2*(m + 2)**2/7
Let i = -44 - -44. Let c(g) be the first derivative of i*g**3 + 0*g + 0*g**2 + 2 + 1/8*g**4. Find l such that c(l) = 0.
0
Let f(i) = 2*i**4 + 9*i**3 - 2*i**2 - 9*i. Let g(d) = -d**3 + d. Let t(q) = 2*f(q) + 18*g(q). Let t(m) = 0. What is m?
-1, 0, 1
Let b be (-4)/(-2) - (-6440)/15. Let s = b - 427. Solve -s*w**2 + 0 + 28/3*w**4 + 13/3*w**3 + 2/3*w = 0 for w.
-1, 0, 1/4, 2/7
Factor -7/4*b**2 + 4 + 1/4*b**3 + 2*b.
(b - 4)**2*(b + 1)/4
Let s(c) = 2*c**3 + 4*c**2 - 2*c - 3. Let q be s(-3). Let i = 16 + q. Factor -1/2*d + i + 1/2*d**3 - d**2.
(d - 2)*(d - 1)*(d + 1)/2
Let y(w) be the third derivative of 1/315*w**7 - 1/180*w**6 + 1/36*w**4 + 0*w - 1/90*w**5 + 0*w**3 + 0 - w**2. Solve y(c) = 0.
-1, 0, 1
Let h be (-4)/30 - (-4)/30. Factor -224/5*n - 4802/5*n**4 + 2744/5*n**3 + 32/5 + h*n**2.
-2*(7*n - 2)**3*(7*n + 2)/5
Let s = -23 - -23. Solve -2/5 + 2/5*x**2 + s*x = 0 for x.
-1, 1
Let a = -34 + 37. Let w(o) be the first derivative of 0*o - 2/5*o**2 - 14/15*o**a - 1/2*o**4 + 3. Let w(n) = 0. What is n?
-1, -2/5, 0
Find d such that -2/17 + 2/17*d**2 - 2/17*d**3 + 2/17*d = 0.
-1, 1
Suppose 3*d = -p + 18, -8*d + 30 = -3*d + 3*p. Let l(q) be the third derivative of q**2 + 0 - 1/10*q**5 + 0*q - 1/15*q**d + 0*q**3 + 1/12*q**4. Factor l(s).
-2*s*(s + 1)*(4*s - 1)
Let z be 0*((-2)/(-10))/((-8)/(-40)). Factor 0*t + z - 1/4*t**2 + 1/4*t**3.
t**2*(t - 1)/4
Find c such that -2/7*c**2 + 8/7*c - 8/7 = 0.
2
Let w(g) = 3*g**2 - 14*g - 13. Let p be w(-1). Factor 0*c + 0 + 8/9*c**2 + 8/3*c**3 + 2*c**p.
2*c**2*(3*c + 2)**2/9
Let z(w) be the second derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/30 - w**2/2 - 6*w. Let x(r) be the first derivative of z(r). Factor x(t).
-(t - 1)**3/5
Let r = -13 - -13. Let f be r/(-2) - 0/(-3). Suppose -1/2*y**2 + 1/2*y**3 + 0*y + f = 0. What is y?
0, 1
Let w(y) be the third derivative of -y**7/2520 + y**5/120 - y**4/6 + 3*y**2. Let c(v) be the second derivative of w(v). Factor c(t).
-(t - 1)*(t + 1)
Let z = -9 + 15. Let j(v) = v**3 - 5*v**2 - 6*v + 2. Let o be j(z). Factor -2 + 0 + 0*b**o - b**2 - 3*b.
-(b + 1)*(b + 2)
Let s(w) be the second derivative of -5*w + 0 + 0*w**2 - 1/42*w**4 - 1/21*w**3. Factor s(a).
-2*a*(a + 1)/7
Let m(v) be the second derivative of -1/30*v**4 - 8*v + 0*v**2 + 1/75*v**6 + 0 - 1/25*v**5 + 2/15*v**3. Factor m(i).
2*i*(i - 2)*(i - 1)*(i + 1)/5
Let z(r) be the first derivative of -3*r**4/10 + 4*r**3/15 + 5. Factor z(b).
-2*b**2*(3*b - 2)/5
Suppose 0 = 5*p - 5*p - 4*p. Find d, given that p + 0*d**2 + 0*d - 3/4*d**3 + 3*d**4 = 0.
0, 1/4
Find j, given that -4/5*j**2 - 2/5*j**4 + 22/15*j**3 - 8/5*j + 16/15 = 0.
-1, 2/3, 2
Let p(d) be the second derivative of 0*d**2 + 0*d**3 + 1/120*d**6 + 1/80*d**5 + 0*d**4 + 0 - 4*d. Solve p(m) = 0 for m.
-1, 0
Let y be 0/(2/(-1) + 1). Let b(n) be the second derivative of -n + 2/15*n**3 - 1/5*n**2 - 1/30*n**4 + y. What is v in b(v) = 0?
1
Let u(v) = -v - 16. Let r be u(-18). Let w(a) be the third derivative of 0*a**4 + 0 + 4*a**r + 0*a**3 - 1/30*a**5 + 4/105*a**7 - 1/20*a**6 + 0*a. Factor w(s).
2*s**2*(s - 1)*(4*s + 1)
Let u(h) be the third derivative of -h**7/1575 + h**6/225 - 2*h**5/225 + 39*h**2. Factor u(t).
-2*t**2*(t - 2)**2/15
Let f(g) = -3*g**3 - 8*g**2 - 23*g. Let j(u) = -u**3 - 3*u**2 - 8*u. Let w(r) = 6*f(r) - 17*j(r). Factor w(o).
-o*(o - 2)*(o - 1)
Let r(o) be the second derivative of 0*o**2 + 0 + 3/10*o**6 - 4*o - 3/20*o**5 + 0*o**4 + 0*o**3 - 1/7*o**7. Factor r(s).
-3*s**3*(s - 1)*(2*s - 1)
Let q(v) be the third derivative of -v**8/1512 - v**7/315 - v**6/270 + 3*v**2. Solve q(l) = 0 for l.
-2, -1, 0
Let u(h) be the third derivative of -h**6/48 - h**5/4 - 5*h**4/4 - 10*h**3/3 - 33*h**2. Factor u(y).
-5*(y + 2)**3/2
Let r(b) be the first derivative of 2*b**3/9 + 6. Factor r(s).
2*s**2/3
Let x be -5 - -2 - (1 - -2). Let m = -4 - x. Factor 4*q**3 + 10*q**2 - 2*q**3 + 6*q**3 + m*q**4 + 4*q.
2*q*(q + 1)**2*(q + 2)
Let f(w) be the first derivative of -3/5*w**5 - 3/2*w**2 + 0*w - 3*w**3 + 3 - 9/4*w**4. Solve f(p) = 0.
-1, 0
Let k be (42/12 + -3)*18/3. What is s in 0 + 0*s - k*s**3 + 6/5*s**2 = 0?
0, 2/5
Factor -p**2 + 2/7 - 13/7*p.
-(p + 2)*(7*p - 1)/7
Let o(w) be the second derivative of -8/21*w**7 + 4/15*w**6 + 0 - 1/20*w**5 + 0*w**3 + 0*w**4 - w + 0*w**2. Solve o(b) = 0 for b.
0, 1/4
Let v be -2 - (-1)/(-3)*-1*8. Determine z, given that -4/3 - v*z**2 - 2*z = 0.
-2, -1
Let o(l) be the first derivative of 0*l**5 + 0*l - 1/2*l**2 - 1 - 1/6*l**6 + 1/2*l**4 + 0*l**3. Solve o(n) = 0.
-1, 0, 1
Suppose -2*h - 3*h + 25 = 0. Suppose -h*y = -2*l - 3 - 3, 2*y = 2*l. Determine s so that 2/7*s - 2/7*s**l - 2/7*s**3 + 2/7 = 0.
-1, 1
Let n(s) be the first derivative of s**4/24 - s**3/6 + 3*s - 3. Let u(y) be the first derivative of n(y). Factor u(j).
j*(j - 2)/2
Let o = -8 - -10. Solve -2*u + 3 + 0*u - u**2 + 2*u**2 - o*u**2 = 0.
-3, 1
Let r(h) be the first derivative of h**5/180 + h**4/24 + h**3/9 - 3*h**2 - 1. Let k(m) be the second derivative of r(m). Factor k(l).
(l + 1)*(l + 2)/3
Let g(b) be the second derivative of -2*b - 1/25*b**5 + 0*b**2 - 2/15*b**3 + 0 + 2/15*b**4. Factor g(w).
-4*w*(w - 1)**2/5
Let v(s) be the third derivative of s**8/336 - s**7/21 + 11*s**6/60 + 7*s**5/15 - 55*s**4/24 - 25*s**3/3 + s**2 + 17. Solve v(n) = 0.
-1, 2, 5
Let j(n) be the first derivative of 1 - 4*n - 5/2*n**4 + 16/3*n**3 - n**2. Factor j(c).
-2*(c - 1)**2*(5*c + 2)
Let x(l) be the third derivative of l**10/378000 - l**9/151200 - l**5/30 - 4*l**2. Let j(s) be the third derivative of x(s). Factor j(w).
2*w**3*(w - 1)/5
Let c(d) = -2*d**3 - 5*d**2 + 8*d + 5. Let z(y) = 4*y**3 + 9*y**2 - 16*y - 11. Let t(a) = 5*c(a) + 3*z(a). What is u in t(u) = 0?
-2, -1, 2
Let v = 8 + -3. Factor 1/3*o**v + 0*o - 1/3*o**2 + 0 + o**3 - o**4.
o**2*(o - 1)**3/3
Let r(l) be the first derivative of l**6/30 + 9*l**5/25 + 3*l**4/2 + 46*l**3/15 + 33*l**2/10 + 9*l/5 - 6. What is i in r(i) = 0?
-3, -1
Let p = 6/85 - -286/765. Factor 2/3*t**2 + p + 14/9*t.
2*(t + 2)*(3*t + 1)/9
Let k be ((-3)/(-18