*(u + 1)
Let v = -256/3 - -86. Let a = 152 + -452/3. Factor -a*k - 2/3*k**2 - v.
-2*(k + 1)**2/3
Let u = -985/3 + 329. Suppose -u*b**2 + 4/3*b**3 + 0 - 2/3*b**4 + 0*b = 0. Calculate b.
0, 1
Let v(o) be the third derivative of 0 + 0*o**3 + 0*o**5 + 0*o**4 + 1/540*o**6 + 1/945*o**7 - 4*o**2 + 0*o. Find u such that v(u) = 0.
-1, 0
Let c(g) be the third derivative of g**5/20 - g**4/8 + g**2. Solve c(d) = 0.
0, 1
Let n(k) = k**3 + 8*k**2 - 4*k - 8. Let q be n(-8). Let u be (4/(-10))/(q/(-20)). Factor 2/3*s + u + 1/3*s**2.
(s + 1)**2/3
Let c(r) be the first derivative of 4*r**3/3 - 8*r**2 + 16*r + 27. Factor c(q).
4*(q - 2)**2
Let v(p) = -4*p**3 - 30*p**2 + 30*p - 24. Let l(k) = 9*k - 1 - k**3 - 3*k - 6*k**2 - 2 - 2. Let j(h) = -14*l(h) + 3*v(h). Solve j(u) = 0 for u.
1
Solve 12/5 + 3/5*g**2 - 12/5*g = 0 for g.
2
Let v(u) be the first derivative of -2057/2*u**4 + 572*u**3 - 140*u**2 + 5 + 16*u + 2662/5*u**5. Determine l, given that v(l) = 0.
2/11, 1
Let z(p) = -2*p**4 - 10*p**3 - 14*p**2 - 10*p + 2. Let n(a) = -4*a**4 - 20*a**3 - 27*a**2 - 21*a + 5. Let o(c) = -2*n(c) + 5*z(c). Factor o(k).
-2*k*(k + 1)*(k + 2)**2
Determine q, given that -1/3*q**2 - 4/3*q - 4/3 = 0.
-2
Let m(y) be the second derivative of 0*y**4 + 0*y**2 - 3/20*y**5 + 0 + 1/2*y**3 + 4*y. Factor m(o).
-3*o*(o - 1)*(o + 1)
Let b(j) be the first derivative of -4*j**5/35 + 3*j**4/7 - 8*j**3/21 - 14. Factor b(f).
-4*f**2*(f - 2)*(f - 1)/7
Let h(m) = -3*m**3 + m**2 + 4*m - 2. Let f be -1*(1 + 3 + -2). Let w(q) = -10*q**3 + 3*q**2 + 13*q - 7. Let u(a) = f*w(a) + 7*h(a). Solve u(b) = 0 for b.
-1, 0, 2
Suppose m - 3*h = -9, 2 = -3*m + h - 1. Factor 0*x + 2/9*x**2 + m.
2*x**2/9
Let w be (-3 - 8/(-84))*1 - -3. Let c(b) be the second derivative of 0 + 1/4*b**4 + 1/4*b**5 - 1/10*b**6 + 2*b - 1/6*b**3 - w*b**7 + 0*b**2. Solve c(z) = 0.
-1, 0, 1/4, 1
Let z be (-2)/(-5)*-30*(-8)/192. Solve 1 - 1/2*q - z*q**2 = 0.
-2, 1
Let c be ((-6)/16)/((-3)/10*5). Suppose 2*x = 5*f - 9 - 5, 0 = -5*f + 4*x + 18. Factor 5/4*o**3 - 3/2*o**f - c*o**4 - o + 2.
-(o - 2)**3*(o + 1)/4
Suppose -9*t + m - 16 = -14*t, 0 = -2*t - 4*m + 10. Let h(b) be the first derivative of 5 + 0*b + 1/3*b**t - b**2 + 1/4*b**4. Factor h(l).
l*(l - 1)*(l + 2)
Suppose -2*s = -3*s. Suppose s = t - 2. Solve -5*k + k - 3*k**t - 3*k**2 - 2*k**3 = 0.
-2, -1, 0
Suppose 3*a = i - 6, -3*i + 6 = -5*a - 8. Solve -15*d**4 - 28/5*d + 4/5 + 53/5*d**2 + 2*d**i = 0 for d.
-1, 1/3, 2/5
Let z = 93 - 277/3. Find k, given that 1/3*k**5 + 0*k**4 + 1/3*k + 0 + 0*k**2 - z*k**3 = 0.
-1, 0, 1
Let i = 1572 - 188639/120. Let x(l) be the third derivative of i*l**5 + 0*l + 0 + 1/48*l**4 + l**2 + 0*l**3. Factor x(p).
p*(p + 1)/2
Let a(n) = 12*n**3 - 33*n**2 + 31*n - 8. Let x(f) = f**3 - f**2 + f. Suppose 9*v = 4*v - 2*k - 20, 3*v - 2*k = -28. Let z(b) = v*x(b) + 2*a(b). Factor z(j).
2*(j - 2)*(3*j - 2)**2
Let q(u) be the third derivative of -u**5/210 + u**4/42 - u**3/21 + 14*u**2. Let q(h) = 0. Calculate h.
1
Let z(r) be the third derivative of -r**5/20 + r**4/2 - 2*r**3 + 18*r**2. Solve z(o) = 0.
2
Factor -4/7*z**2 - 2/7 - 6/7*z.
-2*(z + 1)*(2*z + 1)/7
Let f(m) be the third derivative of -m**5/210 - 5*m**4/84 + 4*m**2. What is u in f(u) = 0?
-5, 0
Let j be 8*(0 - 3/(-6)). Factor 3*y + 4 - 4*y**2 - j - 2*y**2 - 3*y**5 + 6*y**4.
-3*y*(y - 1)**3*(y + 1)
Let b = -9 - -14. Let l = -2 + 5. Factor -2 + l - b*r**2 - 1 - r.
-r*(5*r + 1)
Let z be 0 + -5 + (7 + 6 - 6). Factor 9/7*q**4 - 3/7*q**5 - 9/7*q**3 + 0 + 3/7*q**z + 0*q.
-3*q**2*(q - 1)**3/7
Let z(c) = c**3 + 3*c**2 - 13*c - 11. Let r be z(-5). Let f(g) be the third derivative of 0*g + 0 + 0*g**r + 1/30*g**5 + 0*g**3 - 3*g**2. Factor f(t).
2*t**2
Suppose -k**3 + 7*k + 0*k - 2*k - 4*k**3 = 0. Calculate k.
-1, 0, 1
Suppose 35 = 2*u + l + 4*l, 20 = 4*l. Let c(y) = -y**2 + 3*y - 2. Let h(t) = 3*t**2 - 7*t + 5. Let o(z) = u*c(z) + 2*h(z). Factor o(w).
w*(w + 1)
Factor 8/7 + 138/7*h**2 + 64/7*h + 90/7*h**3.
2*(3*h + 2)**2*(5*h + 1)/7
Suppose 0 = 2*h + 2 - 6. Factor 1/4*f**h + 1/4 + 1/2*f.
(f + 1)**2/4
Suppose 5*x - 2*d - 4 = 0, 0 = -2*x + 4*d - 5 - 3. Solve 1/2*v**x + 1/2 - v = 0.
1
Let g(p) be the second derivative of 0 - 1/18*p**4 - 4/3*p**2 - 2*p + 4/9*p**3. Solve g(d) = 0.
2
Let j(y) be the first derivative of -3*y**6/40 + y**5/5 - y**4/6 - 5*y**3/3 + 3. Let u(z) be the third derivative of j(z). Find a such that u(a) = 0.
2/9, 2/3
Let a(i) = 2*i**2. Let d(g) = -3*g**2 + g. Let m(t) = 5*a(t) + 3*d(t). Let w(x) = 6*x**2 + 19*x. Let j(h) = 39*m(h) - 6*w(h). Factor j(b).
3*b*(b + 1)
Let p(r) be the second derivative of -r**5/60 + r**3/6 - r**2/3 - 64*r. Solve p(a) = 0.
-2, 1
Suppose -4*t + 20 + 4 = 0. Suppose 0 = 3*w - t. Find d such that 6 + 16*d - 7*d**w - 18*d**3 + 2 + d**2 = 0.
-2/3, 1
Let l = 8 - 10. Let w be l/(-9) + 10/(-45). Determine y, given that -2/5*y**5 + 0*y**2 + 4/5*y**4 + 0 + w*y - 2/5*y**3 = 0.
0, 1
Let z(w) be the third derivative of -w**7/735 + w**5/210 + w**2. Determine r so that z(r) = 0.
-1, 0, 1
Let u(t) be the second derivative of 1/60*t**6 + 0*t**2 + 0 + 1/12*t**4 + 1/16*t**5 + 1/24*t**3 - 3*t. Factor u(w).
w*(w + 1)**2*(2*w + 1)/4
Let s be 5/7 + (-4)/(-14). Let t(l) be the first derivative of 1/4*l**4 + s + 0*l + 1/3*l**3 - 1/5*l**5 - 1/2*l**2. Factor t(f).
-f*(f - 1)**2*(f + 1)
Factor -3*p + 0*p + 10*p**3 - 7*p**3.
3*p*(p - 1)*(p + 1)
Let x = 16 + -22. Let u(b) = b**2 + 5*b - 6. Let z be u(x). Factor z*g - 8/7 + 6/7*g**2 - 2/7*g**3.
-2*(g - 2)**2*(g + 1)/7
Factor -z**2 + 4*z + 2*z + 2*z - 3*z**2.
-4*z*(z - 2)
Let k be (-2*(-5)/30)/(3/18). Let z(a) be the first derivative of 1/6*a**3 + 3 - 1/2*a**k + 0*a. Factor z(b).
b*(b - 2)/2
Suppose 6*d - 5*k + 5 = d, -3*d + 9 = k. Factor 1/2*w**3 - w**d + 1/2*w + 0.
w*(w - 1)**2/2
Factor 0*p + 1/5*p**2 - 4/5.
(p - 2)*(p + 2)/5
Suppose -2*f - p = 3*p, 0 = 5*f - p - 11. What is u in -1/4*u**f - 9/4 - 3/2*u = 0?
-3
Find l, given that -3/7*l + 6/7 + 3/7*l**3 - 6/7*l**2 = 0.
-1, 1, 2
Let n be 2/5 + 16/10. Let a be (6/4)/(1/n). Suppose a*i - 2 - 2*i - 2*i**2 + 3*i = 0. What is i?
1
Let o be 3*((-4)/(-3) - 0). Factor -s**3 - 2*s**3 + 5*s**o - 9*s**2 + 3*s**2 - 2*s**4.
3*s**2*(s - 2)*(s + 1)
Let v(b) be the second derivative of b**6/195 - 3*b**5/65 + b**4/6 - 4*b**3/13 + 4*b**2/13 - 38*b. Find a, given that v(a) = 0.
1, 2
Let v be 3/9 - (-23)/3. Let r = v - 6. Solve 3*z**4 + 3*z**r - 2*z**4 - 6 - 4*z**3 + 4*z + 2 = 0 for z.
-1, 1, 2
Let u(b) = -2*b**3 - 3*b**2 - b - 1. Let v be u(-2). Suppose 5 = 2*o + v*n, 2*o - n - 2 + 3 = 0. Let -4/5*k**2 + 2/5*k**3 + 2/5*k + o = 0. What is k?
0, 1
Let i(w) = -24*w**2 + w + 1. Let z be i(-1). Let l be -6*(-3)/z - -1. Let l*r**3 + 0 + 0*r**2 - 1/4*r = 0. What is r?
-1, 0, 1
Let q(i) be the third derivative of -i**6/300 + i**5/75 + i**4/60 - 2*i**3/15 - 5*i**2. Factor q(c).
-2*(c - 2)*(c - 1)*(c + 1)/5
Let v(q) be the third derivative of -3*q**6/200 - q**5/50 + 7*q**4/40 - q**3/5 - 30*q**2 - 2*q. Suppose v(l) = 0. Calculate l.
-2, 1/3, 1
Let r(f) = 10*f**2 - 9*f - 5. Let i(n) = -39*n**2 + 36*n + 21. Let x(b) = -2*i(b) - 9*r(b). Solve x(u) = 0 for u.
-1/4, 1
Let u(m) be the third derivative of -m**8/13440 + m**6/1440 - m**4/12 - 3*m**2. Let s(j) be the second derivative of u(j). Solve s(o) = 0 for o.
-1, 0, 1
Let b(k) = -5*k**3 + 6*k**2 - 9*k + 5. Let h(c) = 14*c**3 - 18*c**2 + 26*c - 14. Let p(t) = -8*b(t) - 3*h(t). What is x in p(x) = 0?
1
Let d be (-5)/(-6)*24/80. Suppose 13 + 15 = 7*k. Factor 1/4*s**2 + 0 - 1/4*s**3 + 1/4*s - d*s**k.
-s*(s - 1)*(s + 1)**2/4
Let s(p) be the second derivative of 7/4*p**3 + 1/4*p**4 + 3/2*p**2 - 9/40*p**5 - p + 0. Factor s(r).
-3*(r - 2)*(r + 1)*(3*r + 1)/2
Let r(l) be the second derivative of -l**4/12 + l**3/6 + l**2/2 + 5*l. Let k(w) = w**3. Let i(n) = 2*k(n) - 2*r(n). Determine t, given that i(t) = 0.
-1, 1
Let b(m) = -4*m**5 + 38*m**4 - 82*m**3 + 70*m**2 - 22*m - 10. Let o(c) = c**4 - c**3 - c**2 + c - 1. Let i(s) = -b(s) + 10*o(s). Factor i(u).
4*u*(u - 2)**3*(u - 1)
Let y be 1/(-2)*(-32)/40. Factor 2/5*u**2 + 0 + y*u.
2*u*(u + 1)/5
Let a(u) = -u**2 - u - 1. Let r(d) = 2*d**3 + d**2 + d - 7. Let i(m) = -14*a(m) + 2*r(m). Factor i(g).
4*g*(g + 2)**2
Let p(r) be the third derivative of r**7/140 - r**6/80 - 3*r**5/40 + 5*r**4/16 - r**3/2 + 2*r**2. What is m in p(m) = 0?
-2, 1
Let r(u) be the secon