actor t - 2/5*s - 2/5*s**2.
-2*s*(s + 1)/5
Let t(c) = -c**3 + 20*c**2 - 20*c + 19. Let g be t(19). Let z(p) be the second derivative of 0 + 1/24*p**4 - 2*p + g*p**2 + 0*p**3. Factor z(s).
s**2/2
Let c(j) be the third derivative of -j**7/315 - j**6/90 - j**5/90 - 7*j**2. Factor c(b).
-2*b**2*(b + 1)**2/3
Factor -3*w**4 + 13*w**2 - 3*w**3 + 0*w**3 - 12*w - 3*w**3 + 4 + 4*w**4.
(w - 2)**2*(w - 1)**2
Suppose -62*z + 10 = -57*z. Factor -2/5*k**z + 1/5*k + 0.
-k*(2*k - 1)/5
Let d(c) be the second derivative of -c**4/90 - 8*c**3/9 - 80*c**2/3 + 28*c - 2. Determine w so that d(w) = 0.
-20
Find d, given that 3/2*d + 0 - 3/2*d**2 = 0.
0, 1
Let m be (-12)/(-42) - 18/14. Let h be (m/3)/((-60)/36). Find u, given that 1/5*u + 1/5*u**2 - 1/5*u**3 - h = 0.
-1, 1
Suppose 3*h - 4*h - 7 = 0. Let q(v) = v**2 + 7*v + 2. Let l be q(h). Determine w, given that 4*w**2 + l*w**2 - 5*w**2 + w**2 - 2*w = 0.
0, 1
Let n(w) = w**3 - 3*w**2 - 3*w + 3. Suppose 3*k + 1 = -u + 3, -k + u = 6. Let g(l) = -l**2 - l + 1. Let r(y) = k*n(y) + 2*g(y). Factor r(s).
-(s - 1)**2*(s + 1)
Let f be -6 + 6 - 4/(-18). Factor 0 + 0*k - 2/9*k**2 + f*k**3.
2*k**2*(k - 1)/9
Solve 14/11*c + 6/11*c**3 + 4/11 + 16/11*c**2 = 0 for c.
-1, -2/3
Let q(l) = 4 - 4*l - 6*l**2 - 4. Let w(k) = -5*k**2 - 3*k. Let b be -1*(-5)/(-5)*-4. Let z(g) = b*q(g) - 5*w(g). Suppose z(v) = 0. Calculate v.
0, 1
Let q(m) = -m**2 + 6*m + 9. Let v be q(7). Factor 0*x + 0 - 4/7*x**4 + 2/7*x**5 + 0*x**v + 2/7*x**3.
2*x**3*(x - 1)**2/7
Let z be 8/6*(3 + 0). Factor 0 - 2/5*g**3 + 2/5*g**z + 2/5*g - 2/5*g**2.
2*g*(g - 1)**2*(g + 1)/5
Let s = 1504/35 - 298/7. Factor -3/5*i - s + 1/5*i**3 + 0*i**2.
(i - 2)*(i + 1)**2/5
Suppose 0 = -i + c - 1, -4*i - 5*c + 5 = 0. Suppose i = 7*b - b - 18. Factor -t + 0*t**2 + 1/3*t**b - 2/3.
(t - 2)*(t + 1)**2/3
Let y(q) = -17*q + 11. Let k be y(2). Let h = k + 26. Factor 2/3*z**h + 0 + 0*z + 2/9*z**5 - 2/3*z**4 - 2/9*z**2.
2*z**2*(z - 1)**3/9
Let w = -1468/5 + 294. Factor 0 - 2/5*l - w*l**2.
-2*l*(l + 1)/5
Let t = 102 + -508/5. What is w in -2/5 + 2/5*w - 2/5*w**3 + t*w**2 = 0?
-1, 1
Let d(y) = y + 4 - 5 + 1. Let j be d(3). Suppose 0*h**4 - 4*h**4 + 2*h**5 + 3*h**3 + 3*h**j - 2*h**4 - 2*h**2 = 0. What is h?
0, 1
Let u = 13 + -7. Suppose u*m + 7 = 19. Solve -5/2*f + 1/2*f**3 - 1 + 1/2*f**4 - 3/2*f**m = 0.
-1, 2
Let i be ((-6)/2)/((-9)/12). Let u(b) = -6 + 3*b**2 + 0*b**2 + 3*b**2 + 0*b**i - 6*b**4. Let m(h) = h**4 + 1. Let z(f) = -3*m(f) - u(f). Factor z(r).
3*(r - 1)**2*(r + 1)**2
Suppose -115*a + 100*a + 75 = 0. Suppose -4*z - 4*p + 30 - 10 = 0, 3*z - 3*p = -3. Let 6/5*k**a + 0 + 0*k**z - 2/5*k**3 + 0*k - 4/5*k**4 = 0. What is k?
-1/3, 0, 1
Let i(f) be the first derivative of -44*f**3/15 - 18*f**2/5 + 8*f/5 + 11. Factor i(d).
-4*(d + 1)*(11*d - 2)/5
Suppose d - 10 = 5*k, 14 = -k + 12. Find o such that d - 2/5*o**3 - 2/5*o**4 + 2/5*o**5 + 2/5*o**2 + 0*o = 0.
-1, 0, 1
Let k(s) be the first derivative of -s**4/4 - s**3/3 - 6. Find f, given that k(f) = 0.
-1, 0
Let b be ((-6)/3)/((-4)/(-22)). Let r = -8 - b. Factor 1/2 + 3/2*f + 1/2*f**r + 3/2*f**2.
(f + 1)**3/2
Let h = -12 - 2. Let d be 12/3 + 44/h. Factor -8/7*s**2 + 4/7 - d*s**3 + 2/7*s.
-2*(s + 1)**2*(3*s - 2)/7
Let b(v) = -59*v**3 - 47*v**2 - 11*v + 3. Let w(x) = -x**3 - x**2 - x + 1. Let t(u) = -b(u) + 3*w(u). Factor t(l).
4*l*(2*l + 1)*(7*l + 2)
Let p be (-55)/(-33) + (-2)/2. Let u(c) be the first derivative of 1/2*c**4 - 2 + p*c**3 + 0*c + 0*c**2. Suppose u(z) = 0. What is z?
-1, 0
Let b(r) be the first derivative of 3*r**4/8 - r**3/2 - 3*r**2/4 + 3*r/2 + 12. Suppose b(u) = 0. Calculate u.
-1, 1
Factor 3*s - 3/2*s**2 + 0.
-3*s*(s - 2)/2
Let p be (-13 - -13)*((-21)/(-12) + -2). Factor -1/3*i + p - 1/3*i**3 - 2/3*i**2.
-i*(i + 1)**2/3
Let p be (-8)/(-66)*((-294)/(-48) - 3). Let o(l) be the second derivative of -p*l**4 + 0 + 20/33*l**3 - 4/11*l**2 + 4*l. Find v such that o(v) = 0.
2/5
Let w(z) be the third derivative of 0*z + 1/168*z**8 - 2/105*z**7 + 0 - 1/12*z**4 + 0*z**6 + 1/15*z**5 - 3*z**2 + 0*z**3. Suppose w(g) = 0. What is g?
-1, 0, 1
Let c = 1022 + -4061/4. Let f = 7 - c. Factor 0 - 1/2*o - 3/4*o**2 - f*o**3.
-o*(o + 1)*(o + 2)/4
Let t be (-1)/3*30/(-40). What is a in -1/2 - 3/4*a - t*a**2 = 0?
-2, -1
Solve 4*u**5 - 21*u**4 + 77*u + 72*u**3 - 45*u - 80*u**2 - 7*u**4 = 0 for u.
0, 1, 2
Let k be (4/(-40))/((-14)/35). Suppose 0 + 1/2*x - 1/4*x**3 - k*x**2 = 0. Calculate x.
-2, 0, 1
Suppose 10 = 5*w - 0*w. Suppose 26*g = 28*g - 4. Factor g*l**w - 2/5 + 8/5*l.
2*(l + 1)*(5*l - 1)/5
Factor 0 - 1/2*f**3 - 1/3*f**2 + 0*f**4 + 1/6*f**5 + 0*f.
f**2*(f - 2)*(f + 1)**2/6
Let j be 1 + 18*(-12)/224. Let k(o) be the third derivative of 1/21*o**3 - j*o**4 + 0*o - o**2 + 1/105*o**5 + 0. Factor k(r).
2*(r - 1)*(2*r - 1)/7
Let n(r) be the third derivative of r**5/50 + r**4/40 - r**3/10 + 3*r**2. What is b in n(b) = 0?
-1, 1/2
Let a be (-8)/28 - (-32)/14. Determine l so that 13*l**2 + 0*l + 4*l**2 - 7*l**a + 4*l = 0.
-2/5, 0
Factor 17*a - 8*a**3 - 32*a - 2*a**4 - 10 + 23*a + 12*a**2.
-2*(a - 1)**2*(a + 1)*(a + 5)
Let z = 145/8 - 18. Let a(t) be the first derivative of -1/3*t**3 + 0*t + 1 + z*t**4 + 1/4*t**2. Suppose a(c) = 0. Calculate c.
0, 1
Let o(l) be the first derivative of l**6/360 - l**5/40 + l**4/12 - l**3/3 - 1. Let q(s) be the third derivative of o(s). Factor q(y).
(y - 2)*(y - 1)
Let a(u) be the second derivative of u**4/12 + u**3/3 - 6*u. Let a(l) = 0. Calculate l.
-2, 0
Let w(h) be the second derivative of 11/9*h**3 - 2*h + 2/15*h**5 + 2/3*h**2 + 0 + 13/18*h**4. Determine l so that w(l) = 0.
-2, -1, -1/4
Let l be (1*3 + (-36)/8)/(-90). Let t(m) be the third derivative of 0*m + 0 + 0*m**3 - 1/30*m**5 - l*m**6 + m**2 + 0*m**4. Find g, given that t(g) = 0.
-1, 0
Let u(r) be the second derivative of r**9/756 - r**8/840 + r**7/3360 - r**3/6 + 3*r. Let o(l) be the second derivative of u(l). Suppose o(i) = 0. What is i?
0, 1/4
Let n(o) = -o**3 + 5*o**2 + 8*o - 10. Suppose 0 = -5*l + 27 + 3. Let m be n(l). Factor -2*j**4 + 14/3*j**3 - m*j + 4/3 - 2*j**2.
-2*(j - 1)**3*(3*j + 2)/3
Solve 3/2*w**3 + 0*w**4 - 1/2*w**5 + 0 - w**2 + 0*w = 0.
-2, 0, 1
Let b(g) = -g**4 - g**3 + g**2 - g. Let i(a) = -3*a**4 - 3*a**3 + 3*a**2 - a. Suppose 0*u - 10 = -5*u. Let q(j) = u*b(j) - i(j). Factor q(y).
y*(y - 1)*(y + 1)**2
Let h(y) = y - 10. Suppose 5*v + 13 = 6*v. Let u be h(v). Suppose 0 + 0*c**2 - 2/3*c**u + 2/3*c = 0. What is c?
-1, 0, 1
Let r(d) = 15*d**2. Let o(t) = 7*t**2. Let v(p) = 17*p**2. Let j be v(-1). Suppose j + 7 = 4*g. Let l(s) = g*r(s) - 13*o(s). Factor l(m).
-m**2
Let c be 33/27 + ((-2)/(-2))/(-1). Factor -2/9 + c*d**2 + 2/3*d - 2/3*d**3.
-2*(d - 1)*(d + 1)*(3*d - 1)/9
Let c(f) be the first derivative of f**7/1680 - f**6/720 - f**5/120 - 4*f**3/3 - 5. Let u(a) be the third derivative of c(a). Factor u(b).
b*(b - 2)*(b + 1)/2
Let l(d) be the first derivative of -d**6/6 + d**5/5 + 3*d**4/4 - d**3/3 - d**2 + 2. Factor l(t).
-t*(t - 2)*(t - 1)*(t + 1)**2
Suppose 0 = -2*n - 5*h - 2, -5*n + 5*h = -0*h - 30. Suppose -3*k = 4*t - 14, n + 2 = 2*k + t. Suppose 0 - 1/4*l**3 + 1/4*l + 3/4*l**k - 3/4*l**4 = 0. What is l?
-1, -1/3, 0, 1
Suppose -26*o + 26 = 26. Factor o + 2*v - 2/3*v**2.
-2*v*(v - 3)/3
Let c(t) = t**2 - t - 3. Let p be c(3). Factor 0*q**3 + 3*q**p - 4*q**3 + 5*q**2 - q**4 - 3*q**2.
-q**2*(q - 1)*(q + 2)
Let t be (-6)/(-4) + (-15)/30. Suppose -2*r + 9 - t = 0. Suppose -v**r - 1/3*v**3 + v**2 + 2/3*v**5 - 1/3*v + 0 = 0. Calculate v.
-1, 0, 1/2, 1
Let s be 4/10 + 52/20. Suppose -4*q - 4*b + 24 = 4, 0 = -s*q + 5*b + 39. Factor -4 - 2 + q*v - 2 + 2*v**2 - 4*v**2.
-2*(v - 2)**2
Let o(d) be the first derivative of -d**5/40 - d**4/24 + 5*d**3/12 - 3*d**2/4 + 4*d + 3. Let x(p) be the first derivative of o(p). Factor x(n).
-(n - 1)**2*(n + 3)/2
Let p be -1*(-2)/(-8) + 17/36. Factor 0 + 0*w + p*w**2.
2*w**2/9
Let v(q) = q + 12. Let n be v(-9). Suppose -2*l + 3 = -n. Factor -1 - 4*k + 4 + 2*k**2 + 2*k**l - 3.
2*k*(k - 1)*(k + 2)
Let z = -64 + 515/8. Let h(k) be the first derivative of -1/16*k**4 - 1/4*k**3 - z*k**2 - 1 - 1/4*k. What is y in h(y) = 0?
-1
Let u(s) be the third derivative of -1/240*s**5 - 1/6*s**3 + 0 - s**2 + 0*s + 1/24*s**4. Solve u(z) = 0.
2
Let s(c) be the third derivative of 0*c**3 + 0*c**4 + 1/200*c**6 + 0*c + 2*c**2 + 0 - 1/100*c**5. Sup