*r**4.
-2*r**3*(r - 1)
Let -6/17*l**2 + 16/17*l - 8/17 = 0. Calculate l.
2/3, 2
Factor -32/9 - 112/9*u**2 - 32/3*u - 2*u**4 - 64/9*u**3 - 2/9*u**5.
-2*(u + 1)*(u + 2)**4/9
Let v be ((-81)/(-18))/(11/(-4)). Let j = v - -47/22. Factor -1/2*w**2 - j*w**3 + 1/2 + 1/2*w.
-(w - 1)*(w + 1)**2/2
Let l(b) = 0 - 3*b**2 + 1 + 3*b + 5*b**2. Let w be l(-3). Find d, given that -10 - 2*d**3 - 2*d**2 + w = 0.
-1, 0
Let h(y) = -5*y**4 - y**3 + 12*y**2 + 7*y - 4. Let p(n) = -16*n**4 - 4*n**3 + 36*n**2 + 20*n - 12. Let g(z) = -8*h(z) + 3*p(z). Determine t so that g(t) = 0.
-1, 1/2, 1
Factor 21*g**2 + 22 + 6*g + 3*g**3 + 5 + 39*g.
3*(g + 1)*(g + 3)**2
Let k(m) be the first derivative of 1/48*m**4 - 1/80*m**5 - 1/120*m**6 + 1/24*m**3 + 2*m + 0*m**2 + 1. Let x(y) be the first derivative of k(y). Factor x(t).
-t*(t - 1)*(t + 1)**2/4
Let w(u) be the third derivative of u**7/420 - u**5/15 + 4*u**3/3 + u**2. Factor w(k).
(k - 2)**2*(k + 2)**2/2
Let u(z) be the third derivative of z**8/70560 - z**7/2940 + z**6/280 + z**5/12 + 5*z**2. Let p(s) be the third derivative of u(s). Let p(x) = 0. What is x?
3
Let w(m) be the first derivative of -3/70*m**5 - 4*m + 0*m**2 - 1/21*m**3 - 1/105*m**6 - 2 - 1/14*m**4. Let q(h) be the first derivative of w(h). Factor q(y).
-2*y*(y + 1)**3/7
Find k such that -k**5 + 7*k**2 + 0*k**4 + 6*k**4 - 2*k - 9*k**3 - k**4 = 0.
0, 1, 2
Let j(a) be the first derivative of 0*a**4 + 3/25*a**5 + 0*a - 1/5*a**3 + 5 + 0*a**2. Factor j(o).
3*o**2*(o - 1)*(o + 1)/5
Let c(a) be the first derivative of -1/12*a**3 + 0*a**2 + 1 + a - 1/24*a**4. Let z(g) be the first derivative of c(g). Factor z(i).
-i*(i + 1)/2
Let x = 931/5 + -186. Let l(q) be the first derivative of 1/5*q**2 - x*q - 3 + 1/5*q**3. Factor l(i).
(i + 1)*(3*i - 1)/5
Let t be 7/21*(-3)/(-4). Factor 0*d**3 + 1/4*d - t*d**5 - 1/2*d**2 + 0 + 1/2*d**4.
-d*(d - 1)**3*(d + 1)/4
Let d be (2 - (-15)/(-7))/(12/(-42)). Factor 1/2*c**2 + d + c.
(c + 1)**2/2
Suppose 0*z - 1/2 + 0*z**3 + z**2 - 1/2*z**4 = 0. Calculate z.
-1, 1
Factor 2/7*b - 4/7*b**2 + 4/7*b**4 + 0*b**3 - 2/7*b**5 + 0.
-2*b*(b - 1)**3*(b + 1)/7
Determine n so that 4/7*n**3 + 0 + 4/7*n**2 - 4/7*n - 4/7*n**4 = 0.
-1, 0, 1
Suppose -3*b + 6 = -4*s - 19, s = 3*b - 13. Factor -2/5*u**b + 0 - 2/5*u - 4/5*u**2.
-2*u*(u + 1)**2/5
Factor 2/3*i**3 + 0 + 0*i**2 + 0*i.
2*i**3/3
Determine c, given that 2/7*c**2 + 0 - 4/7*c = 0.
0, 2
Suppose -5*o = -24*o + 76. Let h(i) be the third derivative of 1/120*i**5 + 0*i**3 - 1/480*i**6 + 0*i + 0 + 0*i**o - 3*i**2. Factor h(r).
-r**2*(r - 2)/4
Let k be -1 - (-1 - (1 + 1)). Let c(q) be the third derivative of -2*q**k + 1/84*q**4 + 0 + 0*q**3 + 0*q + 1/420*q**6 + 1/105*q**5. Find a, given that c(a) = 0.
-1, 0
Let t(q) be the second derivative of -q**7/140 - q**6/60 - q**5/120 - q**2/2 + 6*q. Let p(g) be the first derivative of t(g). Factor p(y).
-y**2*(y + 1)*(3*y + 1)/2
Let x = -1423138/825 + 18996/11. Let u = -14/25 + x. Factor -u*b + 0 - 2/3*b**2.
-2*b*(b + 2)/3
Suppose 4*q + 4 = -4, 0 = -5*k + 5*q + 20. Factor -1/2*z**3 + 1 - z**k + 1/2*z.
-(z - 1)*(z + 1)*(z + 2)/2
Let g be 5*(-2 + (-6)/(-5)). Let w be 14/g*-1 - 3. Determine y so that -5/4*y + w + 5/4*y**3 - 1/2*y**2 = 0.
-1, 2/5, 1
Let b = -5 + 21. Let b*j**4 + 18*j**4 - 12*j**3 - 30*j**4 = 0. Calculate j.
0, 3
Suppose 0 = 4*t - 3*t - 3. Find m such that -9*m**2 - 16*m**4 - 2*m**t - 3*m**2 + 4*m + 26*m**3 - 2*m = 0.
0, 1/2
Suppose x - 2*m - 12 = -m, -5*x + 4*m + 55 = 0. Let j = x + -5. Solve 1/3*k**j + 1/3 - 2/3*k = 0 for k.
1
Let a be 3/(-12) + 63/12. Factor -p**2 + 2*p**5 - a*p**2 - 2*p**3 + 7*p**2 - p**4.
p**2*(p - 1)*(p + 1)*(2*p - 1)
Let o(j) be the first derivative of -j**4/28 + j**2/14 + 9. Find c, given that o(c) = 0.
-1, 0, 1
Let n be 4/(-8) + (-27)/6. Let v be -1 + 0 - 1 - n. Suppose -1/2*u**4 + 1/2*u + 1/2*u**2 + 0 - 1/2*u**v = 0. Calculate u.
-1, 0, 1
Let x = -7 + 12. Determine s, given that -7*s**4 + 2*s**2 - 6*s + 21*s**x + 45*s**3 + s**2 + 64*s**4 = 0.
-1, 0, 2/7
Suppose 0 = -5*d + 2*o + 20, 5*d - 4*o - o = 20. Let m be -5 + d/2 + 6. Determine h, given that -3*h + 3*h**2 - 6 + 6 + 3*h**m - 3*h**4 = 0.
-1, 0, 1
Suppose 1/3*s - 2/3*s**2 + 1/3*s**3 + 0 = 0. What is s?
0, 1
Let a = 9 - 9. Let x(z) be the first derivative of -4/9*z**3 + 2/15*z**5 + 2/3*z + 0*z**4 - 1 + a*z**2. Suppose x(r) = 0. Calculate r.
-1, 1
Let r(j) be the first derivative of -j**6/135 + j**5/30 - j**4/27 - 7*j + 3. Let s(y) be the first derivative of r(y). Suppose s(n) = 0. What is n?
0, 1, 2
Let w(j) be the second derivative of 5*j - 2*j**2 + 0 + 1/3*j**3 - 1/10*j**5 + 1/3*j**4. Suppose w(g) = 0. What is g?
-1, 1, 2
Suppose -i - 2 = -2*i. What is u in 4 - 4 - u - u**3 + 2*u**i = 0?
0, 1
Let a = 19 - 17. Suppose 2*c + 8 = 4*h, 10*h - 40 = 5*h - 5*c. Factor -d**3 + 2*d**2 - h + d**a + 0*d**2.
-(d - 2)**2*(d + 1)
Let y(k) = k**3 - 7*k**2 + 6*k + 2. Let o be y(6). Factor -19*v**3 + 3*v**2 + 3*v + 0*v**o + 16*v**3 - 3.
-3*(v - 1)**2*(v + 1)
Let 2/11*f**5 - 6/11*f + 0 + 8/11*f**4 - 8/11*f**2 + 4/11*f**3 = 0. What is f?
-3, -1, 0, 1
Suppose -7*a + 20 = -8. Let s be (33/55)/(a/10). Determine g so that s*g**2 + 0*g + 0 - 3/2*g**3 = 0.
0, 1
Suppose 3*b = -12, b - 4 = -4*y - 0. Suppose 3*v + 3 = -3*h, -v - 2*h = -y*v + 8. Factor -3/2*d**2 - v + 4*d.
-(d - 2)*(3*d - 2)/2
Let l be (-163)/(-240) - (-24)/(-36). Let h(q) be the second derivative of 0 - 2*q + 0*q**2 + 0*q**3 + 1/48*q**4 - l*q**5. Factor h(b).
-b**2*(b - 1)/4
Let g = -33 - -133/4. Suppose -5*w + 5*p = -45, -4*w = 2*p - 18 - 18. Factor -16*z**5 + w*z**3 + 11/4*z**2 + g*z + 4*z**4 + 0.
-z*(z - 1)*(4*z + 1)**3/4
Let d be 0 - 2 - -4 - -2. Let z(r) = 7*r**3 + 5*r**2 - 7*r + 5. Let n(q) = -3*q**3 - 2*q**2 + 3*q - 2. Let j(t) = d*z(t) + 10*n(t). Let j(l) = 0. What is l?
-1, 0, 1
Let j(t) be the second derivative of -1/3*t**4 - 9*t + 4/3*t**3 + 0 - 2*t**2. Factor j(k).
-4*(k - 1)**2
Let j(v) be the second derivative of -7*v**6/40 + 3*v**5/5 - 3*v**4/8 - v**3 + v**2/2 + 2*v. Let r(p) be the first derivative of j(p). Factor r(x).
-3*(x - 1)**2*(7*x + 2)
Let w(s) be the second derivative of -1/27*s**3 + 3*s + 1/54*s**4 - 2/9*s**2 + 0. Determine b, given that w(b) = 0.
-1, 2
Let p(b) be the third derivative of 0 + 3/20*b**5 + 1/2*b**4 + 0*b - 1/70*b**7 - 1/20*b**6 - 2*b**3 - 2*b**2. Suppose p(k) = 0. What is k?
-2, 1
Suppose 5*v + u + 0*u = 35, 0 = -u - 5. Let f = v - 6. Find x, given that 2*x**2 + 0*x**f - 4*x**2 + 2*x**3 = 0.
0, 1
Let c = -2233/180 - -113/9. Let z(y) be the second derivative of -4*y + c*y**5 + 0*y**3 + 1/4*y**4 + 0*y**2 + 0. Factor z(w).
3*w**2*(w + 1)
Factor 0 + 74*r**2 + 0 - 83*r**2 + 3*r**3.
3*r**2*(r - 3)
Let f = -72 + 77. What is m in 2/5*m**3 + 0 - 2/5*m**f - 2/5*m**4 + 2/5*m**2 + 0*m = 0?
-1, 0, 1
Let n(i) be the second derivative of -i**4/84 + 2*i**2/7 - 7*i. Factor n(r).
-(r - 2)*(r + 2)/7
Let i be 0/(-5 + 1 + 2). Suppose i = -5*c + c. Determine m, given that -1/4*m + c + 3/4*m**2 + 1/4*m**4 - 3/4*m**3 = 0.
0, 1
Let i = -35 + 5. Let z be ((-2)/i)/(15/45). Suppose 1/5*x + 0 - z*x**3 - 1/5*x**4 + 1/5*x**2 = 0. Calculate x.
-1, 0, 1
Let t(f) be the first derivative of -f**2/2 - 2*f - 2. Let g be t(-4). Factor 4*l**2 + l**2 + l + 0*l**g - 4*l**2.
l*(l + 1)
Suppose -14 = -n - 3*w, 1 + 5 = -n + 2*w. Suppose -2*k = n*k + 5*d - 18, 0 = -k - 2*d + 6. Factor -4*g - 2 - 4*g - k*g**2 + 4*g.
-2*(g + 1)**2
Let o(w) = -21*w**5 - 11*w**4 + 41*w**3 - 9*w**2 - 11*w. Let x(d) = -4*d**5 - 2*d**4 + 8*d**3 - 2*d**2 - 2*d. Let g(a) = -4*o(a) + 22*x(a). Factor g(u).
-4*u**2*(u - 1)**2*(u + 2)
Let u(o) be the first derivative of -o**6/60 + o**5/15 - 5*o**2/2 - 11. Let c(d) be the second derivative of u(d). Factor c(q).
-2*q**2*(q - 2)
Solve 31 + 2*p**4 + p - 4*p**4 + 9*p**2 + 3*p**3 - 34 = 0 for p.
-1, 1/2, 3
Suppose -72 = -2*f - 3*r, 42 = 2*f + 2*r - 26. Suppose 12 - 2*b**2 + 14 - 6*b - f = 0. What is b?
-2, -1
Let d(v) be the second derivative of 49*v**6/10 - 105*v**5/4 + 93*v**4/2 - 34*v**3 + 12*v**2 + 5*v. Factor d(q).
3*(q - 2)*(q - 1)*(7*q - 2)**2
Let p(q) be the second derivative of 1/18*q**3 - 1/40*q**5 - 5/72*q**4 - 3*q + 0 + 0*q**2. Factor p(z).
-z*(z + 2)*(3*z - 1)/6
Let u = 143/427 - 3/61. Factor -u*n**2 + 2/7*n + 0.
-2*n*(n - 1)/7
Let i(k) be the second derivative of -155*k**4/12 + 55*k**3/2 - 5*k**2 - 7*k - 2. Factor 