/6*r**4 - 1/2*r**3 = 0.
-2/5, 0, 1
Let y(h) = 17*h**3 - 18*h**2 - 55*h - 28. Let m(j) = -6*j**3 + 6*j**2 + 18*j + 9. Let w(c) = -8*m(c) - 3*y(c). Factor w(s).
-3*(s - 4)*(s + 1)**2
Let i be (-5)/10*2*(-9)/6. Let f(c) be the first derivative of 6*c + i*c**2 - 2*c**3 - 4 - 3/4*c**4. Factor f(u).
-3*(u - 1)*(u + 1)*(u + 2)
Find f such that -f - 3*f**2 + 3*f**3 - f**5 - f**2 - 4*f**4 - 2*f**3 - 7*f**3 = 0.
-1, 0
Let b(l) be the second derivative of 0*l**4 + 10*l + 2/21*l**7 + 2/3*l**3 + 0*l**2 + 0 - 2/5*l**5 + 0*l**6. Let b(r) = 0. What is r?
-1, 0, 1
Let p be 1 - (-2)/(-30)*6. Suppose 0 = -4*g - 3*z + 6, -3*z = -6*z - 6. Factor 6/5*i - p*i**4 + 3/5*i**2 - 6/5*i**g + 0.
-3*i*(i - 1)*(i + 1)*(i + 2)/5
Let t(l) be the second derivative of -l**7/21 + l**5/10 + 5*l. Suppose t(o) = 0. Calculate o.
-1, 0, 1
Let p(c) be the second derivative of 49*c**6/20 + 21*c**5 + 179*c**4/4 - 30*c**3 + 27*c**2/4 + 50*c. Solve p(g) = 0 for g.
-3, 1/7
Let u(k) = 8*k**3 + 8*k**2 - 7*k - 7. Let x = -4 + 6. Let a(m) = -m**3 - 3*m**x - 4*m**3 - 2*m**3 + 6 - 4*m**2 + 6*m. Let c(n) = 7*a(n) + 6*u(n). Factor c(q).
-q**2*(q + 1)
Let l = 283 + -841/3. Factor -8/3*a**3 - 2/3 - 2/3*a**4 - l*a - 4*a**2.
-2*(a + 1)**4/3
Let h = 23 - 21. Let x(r) be the first derivative of 1/3*r**3 + 1 - 1/5*r**5 + 1/12*r**6 - 1/4*r**h + 0*r**4 + 0*r. Factor x(y).
y*(y - 1)**3*(y + 1)/2
Let o = -2 + 4. Suppose 2*b - 8 = -2. Suppose -5*z + 2*z**4 + o*z**3 - b*z**2 + z**2 + 3*z = 0. What is z?
-1, 0, 1
Let r(t) = -t**2 + 4*t - 3. Suppose 0*f = -2*f + 6. Let p be r(f). Determine l so that l**2 - 2*l**3 + l**3 + 0*l**3 + 2*l + p*l**2 = 0.
-1, 0, 2
Let u(f) = -16*f**2 + 324*f - 528. Let z(o) = 3*o**2 - 59*o + 96. Let n(p) = -5*u(p) - 28*z(p). Factor n(c).
-4*(c - 6)*(c - 2)
Let p(l) be the first derivative of -1/12*l**4 - 2*l + l**2 - 1 - 1/6*l**3. Let q(y) be the first derivative of p(y). Factor q(j).
-(j - 1)*(j + 2)
Factor 0 + 20*s**2 + 5/2*s**4 - 10*s - 25/2*s**3.
5*s*(s - 2)**2*(s - 1)/2
Let h be -6*((-575)/3 - -1). Let x = h - 10280/9. Determine f so that -4/9 - 14/9*f + x*f**3 - 2/3*f**2 + 8/9*f**4 = 0.
-2, -1/2, 1
Let b(p) = -2*p - 9. Let u be b(-6). What is f in 8*f**2 + f**3 + 6*f + 3*f**u + 1 + f**2 = 0?
-1, -1/4
Let z(v) be the second derivative of v**4/16 - 5*v**3/4 + 75*v**2/8 - 33*v. Factor z(p).
3*(p - 5)**2/4
Factor 2*d**2 + 39*d**3 - 3*d**4 - 13*d - 14*d**2 - 12*d**4 + d.
-3*d*(d - 2)*(d - 1)*(5*d + 2)
Let j = -1517/4 - -380. Find p, given that -1/2*p - j*p**2 + 1/2*p**3 + 0 = 0.
-1/2, 0, 2
Let c(b) be the third derivative of -1/72*b**4 + 1/360*b**6 + 0*b - 1/36*b**3 - 2*b**2 + 0 + 1/360*b**5. What is k in c(k) = 0?
-1, -1/2, 1
Determine i so that -25 - 30*i + 0*i**2 - 3*i**2 - 4*i**2 + 2*i**2 = 0.
-5, -1
Let a(w) be the third derivative of -w**5/20 - 3*w**4/8 - w**3 - 25*w**2. Factor a(p).
-3*(p + 1)*(p + 2)
Let i = -94 + 1036/11. Factor -4/11*d - i*d**2 + 0.
-2*d*(d + 2)/11
Suppose 4*m = -f + 14, -3*m - 8 = -3*f - 11. Factor -2/3*a + 1/3*a**f + 0.
a*(a - 2)/3
Let v(s) = 25*s**4 - 17*s**3 - 15*s**2 + 12*s + 5. Let k(g) = 12*g**4 - 8*g**3 - 8*g**2 + 6*g + 2. Let q(m) = 5*k(m) - 2*v(m). Factor q(j).
2*j*(j - 1)*(j + 1)*(5*j - 3)
Let i = 67/165 + -3/11. Let s(b) be the second derivative of -i*b**3 - 1/60*b**4 + 0 + 2*b - 2/5*b**2. Factor s(c).
-(c + 2)**2/5
Factor 0 + 1/6*v - 5/6*v**2.
-v*(5*v - 1)/6
Suppose -4*w**5 - 1 - 13 + 4*w**2 - 2*w**4 + 12 + 6*w**5 + 2*w - 4*w**3 = 0. Calculate w.
-1, 1
Suppose 10 = -5*j + 10*j. Suppose 4*z + 0*l + 3*l - 496 = 0, 2*z - 5*l = 222. Solve -4 - 20*n - z*n**j + 30*n + 13*n + 21*n = 0 for n.
2/11
Let q(y) = y**3 + 9*y**2 + 7*y - 4. Let x be q(-8). Suppose j = 3*a + a - 10, -2*j + 4 = x*a. Factor 2/5*i**5 - 2/5*i**4 + 0*i + 0*i**3 + 0*i**a + 0.
2*i**4*(i - 1)/5
Let t = -469/3 - -154. Let n = 3 + t. Factor -2/3 + n*h**2 + 0*h.
2*(h - 1)*(h + 1)/3
Let u(t) be the second derivative of -t**6/6 + t**5/4 + 5*t**4/3 - 10*t**3/3 + 4*t. Let u(s) = 0. What is s?
-2, 0, 1, 2
Find v, given that -2/7*v - 2/7*v**2 + 0 = 0.
-1, 0
Suppose -57 = 3*z + 2*n + n, -2*n = -4*z - 88. Let b be 4/(-14) - 174/z. What is y in 1/2 + b*y**2 - 4*y = 0?
1/4
Let a = 9 + -5. Suppose -8 - 10*z**2 + 24*z**3 - 2*z**2 - 24*z + 2*z**2 - 11*z**a + 29*z**4 = 0. Calculate z.
-1, -2/3, 1
Let x(h) be the third derivative of -h**5/4 - 3*h**4/2 - 2*h**3 + 37*h**2. Factor x(z).
-3*(z + 2)*(5*z + 2)
Let f(g) = 11*g**3 + 29*g**2 + 30*g + 12. Let h(u) = -6*u**3 - 15*u**2 - 15*u - 6. Let l(o) = -3*f(o) - 5*h(o). Factor l(t).
-3*(t + 1)**2*(t + 2)
Find r such that -16/3 - 8/3*r - 1/3*r**2 = 0.
-4
Factor -2*i**2 + 12*i**2 - 5*i**4 - 5*i**2.
-5*i**2*(i - 1)*(i + 1)
Let q be ((-8)/(-6))/((-28)/(-60)). What is m in -2/7 - 20/7*m**2 - 10/7*m**4 + q*m**3 + 2/7*m**5 + 10/7*m = 0?
1
Let a(w) = w**2 + 4*w + 12. Let g(m) = -m**2 - 3*m - 11. Let d(r) = 5*a(r) + 4*g(r). Let d(z) = 0. Calculate z.
-4
Let z = 7 - 7. Factor 0 - 1/3*t**4 - 1/3*t**2 + 2/3*t**3 + z*t.
-t**2*(t - 1)**2/3
Let v be 1/2 + 0*(8 + -9). Let l = -7 - -7. Solve 0 - 1/2*r**5 + 3/2*r**4 + v*r**2 - 3/2*r**3 + l*r = 0 for r.
0, 1
Let 8/3 + 44*d**3 - 46/3*d**2 - 8*d - 70/3*d**4 = 0. Calculate d.
-2/5, 2/7, 1
Factor -229 + 3*a + 229 - 6*a**3 + 3*a**5.
3*a*(a - 1)**2*(a + 1)**2
Let b(v) be the first derivative of v**4/18 - 2*v**3/9 + v**2/3 - 2*v/9 - 7. Factor b(n).
2*(n - 1)**3/9
Let s(a) = 4*a**3 - 2*a**2 - 3*a + 3. Let g(q) = -11*q**3 + 5*q**2 + 8*q - 8. Let w(p) = 3*g(p) + 8*s(p). Factor w(c).
-c**2*(c + 1)
Let g(k) = k**2 - 2*k - 1. Let y be g(-1). Suppose j - y = c + 1, 5*c = 2*j. Solve 1 + u**c - 4*u**2 - 2*u**3 - u - 1 = 0.
-1, -1/2, 0
Let z = 886/9 + -98. Find y, given that -2/9*y**3 + 2/9*y + 4/9*y**2 - z = 0.
-1, 1, 2
Let t(r) be the second derivative of -1/6*r**3 - 1/120*r**6 - r + 0 + 1/24*r**4 - r**2 + 1/60*r**5. Let x(a) be the first derivative of t(a). Factor x(v).
-(v - 1)**2*(v + 1)
Let n(r) be the second derivative of 0*r**2 + 2*r + 0*r**4 - 1/2*r**3 + 3/20*r**5 + 0. Factor n(m).
3*m*(m - 1)*(m + 1)
Let g(k) be the first derivative of -1 - 1/720*k**6 + 0*k + 0*k**2 - 1/120*k**5 - 1/48*k**4 + 2/3*k**3. Let b(a) be the third derivative of g(a). Factor b(h).
-(h + 1)**2/2
Suppose 4*c - 2*f = 4, 2*c - f = 2*f + 2. Suppose -p + c = -1. Determine i so that 7*i**2 - i**4 - p*i**4 + 0*i + 2*i + 0*i**4 + 2*i**3 = 0.
-1, -1/3, 0, 2
Let u be 2 + 0/(-2) + 15 + -15. Find a, given that 2/3*a - 1/6 - 2/3*a**u = 0.
1/2
Let a be (-74)/(-26) - (-2)/13. Let c be -2 + (0/a - -4). Determine w so that -4/3*w + 1/3*w**c + 4/3 = 0.
2
Let u(z) = z**3 - z**2 + z - 1. Let s = 6 - 4. Let b be u(s). Let -2*m**5 + 2*m**3 + m**2 - b*m**4 + m**2 + 3*m**4 = 0. Calculate m.
-1, 0, 1
Let l(u) be the second derivative of u**6/10 + 7*u**5/20 + u**4/36 - u**3/2 + u**2/3 + 4*u - 1. Suppose l(b) = 0. What is b?
-2, -1, 1/3
Let v(c) = c**2 + 5*c - 9. Let s be v(-7). Factor 4/5*l**4 + 2/5*l**s + 0 + 0*l**2 + 2/5*l**3 + 0*l.
2*l**3*(l + 1)**2/5
Let u(a) = -3*a**2 + 2*a + 1. Suppose 2*w + 0*w - 8 = -4*i, 25 = 5*i - 5*w. Let f(k) = -2*k**2 + 2*k + 1. Let y(o) = i*u(o) - 4*f(o). Factor y(c).
-(c + 1)**2
Let t(h) be the second derivative of h**8/224 - h**7/420 - h**6/120 + h**2 - 2*h. Let l(i) be the first derivative of t(i). Solve l(j) = 0 for j.
-2/3, 0, 1
Let g(k) be the second derivative of -k**6/1080 + k**5/180 - k**4/72 + k**3/6 - k. Let s(a) be the second derivative of g(a). Factor s(v).
-(v - 1)**2/3
Let r(k) be the third derivative of 0*k + 0 - 1/27*k**3 + 4*k**2 + 1/135*k**5 - 1/945*k**7 + 0*k**4 + 0*k**6. Factor r(t).
-2*(t - 1)**2*(t + 1)**2/9
Let c = -3 - -21. Let l = 20 - c. Factor 2/7*m - 2/7*m**3 - 4/7*m**l + 4/7.
-2*(m - 1)*(m + 1)*(m + 2)/7
Let l be 378/833 + 2/136*8. Let 36/7*s + 96/7*s**2 + 64/7*s**3 + l = 0. What is s?
-1, -1/4
Let q(d) be the third derivative of 0 + 0*d**5 + 0*d + 5/112*d**8 + 1/20*d**6 + 0*d**3 - 1/10*d**7 - 5*d**2 + 0*d**4. Solve q(p) = 0.
0, 2/5, 1
Let l(q) be the third derivative of -q**5/10 + q**4/6 - 5*q**2. Factor l(s).
-2*s*(3*s - 2)
Let i be (2/(-60))/((-28)/875). Let a = i + -3/8. Solve 0 + 0*j + 4/3*j**3 + 2/3*j**4 + a*j**2 = 0.
-1, 0
Let x(a) be the second derivative of -a**6/480 + a**4/96 + 3*a**2 - 4*a. Let h(m) be the first derivative of x(m). Factor h(t).
-t*(t - 1)*(t + 1)/4
Let q(g) be the third derivative of g**5/180 - 