Factor -2*p**4 + u*p**4 + 6*p**2 + 0*p + 6*p**3 + 2*p.
2*p*(p + 1)**3
Let c(m) = -m**3 - 6*m**2 - 5*m - 6. Let g be c(-5). Let q be g/15*2/(-4). Let q*w**2 + 2/5*w + 1/5 = 0. Calculate w.
-1
Let a(l) be the third derivative of -l**5/45 - l**4/9 - 18*l**2. Factor a(n).
-4*n*(n + 2)/3
Solve 4*b**2 - 4*b**2 - 3*b - 2*b**2 + 20 - 3*b = 0.
-5, 2
Let k = -26 - -25. Let r be (-2 - -2)/(1/k). Find p such that r + 1/3*p**2 + 2/3*p = 0.
-2, 0
Let n = -383/7 - -55. Determine p, given that 8/7 + n*p**2 + 8/7*p = 0.
-2
Suppose 2*h + 20 = 6*h. Suppose 14*c**3 - 2*c**2 - 5*c - 9*c**h - 2*c**4 + 5*c**4 + 0*c**2 - 4 + 3 = 0. Calculate c.
-1, -1/3, 1
Let d = 41/33 - 10/11. Factor 1/3*s + 0 + 0*s**2 - d*s**3.
-s*(s - 1)*(s + 1)/3
What is i in 2/5*i**4 + 0 + 2/5*i**2 + 4/5*i**3 + 0*i = 0?
-1, 0
Let y = 4 + 6. Suppose -10 = -4*z - a, 4*a - y = -a. Factor 1/4*k**4 - 1/2*k + 0*k**3 - 3/4*k**z + 0.
k*(k - 2)*(k + 1)**2/4
Suppose g + 17 + 13 = 5*n, 0 = 5*n - 4*g - 30. Let h = -4 + n. Factor -2*s**3 + 2*s**h + 0 + 0.
-2*s**2*(s - 1)
Let t = 45 + -45. Factor t + 2/5*a**2 + 0*a.
2*a**2/5
Let q(o) be the first derivative of 2*o**3/9 + 2*o**2/3 + 6. Suppose q(p) = 0. Calculate p.
-2, 0
Let u(n) be the first derivative of -n**4/20 + 4*n**3/15 - 3*n**2/10 - 1. Find x such that u(x) = 0.
0, 1, 3
Let g = -13 - 1. Let m be 10/(-5) - 36/g. Factor m*i + 2/7*i**2 + 2/7.
2*(i + 1)**2/7
Suppose -2*j + 4*j = 6. Let f = 1 + j. Determine z, given that -3 - z**f + 2*z**2 + 4*z - 1 + z**2 - 2*z**3 = 0.
-2, 1
Determine o, given that -16*o + 2*o**2 - 144 - 32*o - 6*o**2 = 0.
-6
Factor 20/3*n**2 + 28/3*n + 4/3*n**3 + 4.
4*(n + 1)**2*(n + 3)/3
Let n(k) = -k**2 + 10*k - 12. Let s be n(8). Suppose s*z + 2*f - 5*f = 18, 4*f = 5*z - 23. Solve -z*i**4 - 1/4*i - 3/2*i**2 - i**5 - 13/4*i**3 + 0 = 0.
-1, -1/2, 0
Let a(w) be the second derivative of -1/15*w**6 - 1/3*w**3 - 1/2*w**4 + 0 + w - 3/10*w**5 + 0*w**2. Factor a(f).
-2*f*(f + 1)**3
Let t(v) be the first derivative of -5*v**6/6 + 5*v**4/2 - 5*v**2/2 - 23. Factor t(i).
-5*i*(i - 1)**2*(i + 1)**2
Let u(g) = 33*g**4 - 152*g**3 + 273*g**2 - 81*g + 9. Let p(c) = 8*c**4 - 38*c**3 + 68*c**2 - 20*c + 2. Let z(k) = 9*p(k) - 2*u(k). Let z(d) = 0. Calculate d.
0, 1/3, 3
Let c(z) be the third derivative of z**5/120 + z**4/24 + 4*z**2. Factor c(d).
d*(d + 2)/2
Let w(k) = 8*k**3 - 12*k**2 + 4*k. Let f(p) = -p + p + p**2 - p**4. Let d(h) = -h**2 - 3*h - 2. Let g be d(-3). Let x(t) = g*f(t) - w(t). Factor x(v).
2*v*(v - 2)*(v - 1)**2
Factor 0*n**2 + 0*n + 0*n**3 - 8/3*n**5 + 0 - 4/3*n**4.
-4*n**4*(2*n + 1)/3
Let h(s) be the first derivative of -s**6/48 + 9*s**5/40 - 3*s**4/32 - 73*s**3/24 - 6*s**2 - 9*s/2 + 1. Determine q, given that h(q) = 0.
-1, 6
Determine z so that 11*z - 2*z**2 - 14*z + 5*z**2 = 0.
0, 1
Let q(i) = -3*i**2 - 3*i. Let b(l) = -8*l**2 - 9*l - 1. Let s(n) = 6*b(n) - 17*q(n). Determine v so that s(v) = 0.
-1, 2
Let u(k) be the third derivative of k**6/30 - 2*k**5/15 + k**4/6 - 2*k**2. Factor u(a).
4*a*(a - 1)**2
Let h(v) = v - 2. Let r be h(4). Factor 7*c**4 - 2*c + 15*c**r + 0 + 3*c + 19*c**3 - 3 + 1.
(c + 1)**3*(7*c - 2)
Let v(c) be the first derivative of -c**7/420 + c**5/60 - c**3 - 3. Let f(x) be the third derivative of v(x). What is h in f(h) = 0?
-1, 0, 1
Factor 5*g + 1/2*g**4 + 3/2 + 6*g**2 + 3*g**3.
(g + 1)**3*(g + 3)/2
Let b(r) be the first derivative of -1/180*r**5 + 0*r + 1/18*r**4 + 2 - 2/9*r**3 - 1/2*r**2. Let y(f) be the second derivative of b(f). Factor y(p).
-(p - 2)**2/3
Factor -2*k**2 - 6*k + 2/3*k**3 - 10/3.
2*(k - 5)*(k + 1)**2/3
Let a(l) be the first derivative of -1/40*l**5 + 0*l**4 + 0*l + 4/3*l**3 + 0*l**2 + 1 + 1/120*l**6. Let m(g) be the third derivative of a(g). Factor m(b).
3*b*(b - 1)
Factor -2*a**2 + 2*a - 2/3 + 2/3*a**3.
2*(a - 1)**3/3
Suppose -4*p - 9 = -3*s, 0 = 3*s - 2*p + 1 - 10. Let k = 24 + -24. Solve 2/3*t**s + k*t + 0*t**4 + 0 - 2/3*t**5 + 0*t**2 = 0.
-1, 0, 1
Factor -2/7*l**2 - 4/7*l + 0 + 2/7*l**3.
2*l*(l - 2)*(l + 1)/7
Let d(o) be the second derivative of -o**4/4 - o**3/2 + 18*o**2 + 14*o. Determine a so that d(a) = 0.
-4, 3
Suppose 0 = -6*i + 26 + 4. Suppose -i*v + 16 = -v. Find m such that -3/4*m**5 - 15/4*m**v - 3/4 - 15/2*m**2 - 15/2*m**3 - 15/4*m = 0.
-1
Let f be (0*(-1)/(-5))/(-1). Let s(z) be the first derivative of -2 + 1/6*z**3 + 0*z + f*z**2 - 1/8*z**4. Factor s(r).
-r**2*(r - 1)/2
Let c(n) be the first derivative of -n**5/5 - n**4/3 + 2*n**3/3 + 2*n**2 - 8*n - 1. Let x(l) be the first derivative of c(l). Factor x(j).
-4*(j - 1)*(j + 1)**2
Solve 0 + 3/2*o**2 + 0*o + 39/4*o**3 = 0 for o.
-2/13, 0
Let j = 27 + -24. Let n(i) be the third derivative of 0*i - i**2 - 8/3*i**3 - 9/5*i**5 + 0 - j*i**4 - 9/20*i**6. Solve n(a) = 0 for a.
-2/3
Let u(h) be the first derivative of h**9/216 - 19*h**8/840 + h**7/28 - h**6/180 - h**5/30 + 4*h**3/3 - 1. Let r(k) be the third derivative of u(k). Factor r(i).
2*i*(i - 1)**3*(7*i + 2)
Let n(r) be the third derivative of 0*r**4 - 1/120*r**5 + 2*r**2 + 1/3*r**3 + 0 + 0*r - 1/720*r**6. Let t(c) be the first derivative of n(c). Factor t(o).
-o*(o + 2)/2
Let x(d) = d**4 + d**2 - d - 1. Let t(a) = 7*a**4 + 24*a**3 + 15*a**2 + 7*a + 3. Let f(u) = 2*t(u) + 6*x(u). Solve f(p) = 0.
-1, -2/5, 0
Suppose x - 2 + 0 = 0. Let j be x/6 - (4 + -5). Solve -2/3*p**2 + 2/3*p + j = 0 for p.
-1, 2
Let t(o) = 2*o**3 + 9*o**2 + 5*o - 5. Let g(r) = -14*r**2 + 13*r**3 - 3*r + 7 - 16*r**3 + r**2 - 4*r. Let n(q) = -5*g(q) - 7*t(q). Find z, given that n(z) = 0.
-2, 0
Factor -2/5*a**2 - 2/15 + 2/15*a**3 + 2/5*a.
2*(a - 1)**3/15
Let o(h) be the third derivative of h**9/30240 - h**8/25200 - h**7/2520 + h**6/900 + h**5/60 + 4*h**2. Let g(l) be the third derivative of o(l). Factor g(b).
2*(b - 1)*(b + 1)*(5*b - 2)/5
Let c(j) be the third derivative of j**6/720 + j**3/2 - 3*j**2. Let z(i) be the first derivative of c(i). Factor z(k).
k**2/2
Let k = 17/15 - -11/30. Let 6*g**3 - k*g**4 + 0 - 6*g**2 + 0*g = 0. Calculate g.
0, 2
Let y be (-580)/(-408) - (0 + 1). Let h = y - 3/34. Factor h*u**4 + 4/3*u + 1/3 + 2*u**2 + 4/3*u**3.
(u + 1)**4/3
Let c(b) be the first derivative of -5*b**4/24 - 2*b**3/3 - b**2/3 - 6. Let c(x) = 0. What is x?
-2, -2/5, 0
Suppose 2*u - 18 = k + 7, 3*u = -2*k + 48. Suppose -8/5 + 78/5*m**2 + u*m**4 + 148/5*m**3 - 8/5*m = 0. What is m?
-1, -2/5, 2/7
Factor 0 + 1/4*w**2 - 3/4*w.
w*(w - 3)/4
Suppose -1/2*j + 0 + 5/4*j**4 - 5/4*j**2 + 9/4*j**3 - 7/4*j**5 = 0. What is j?
-1, -2/7, 0, 1
Let q = -14 + 28. Let v = q - 9. Factor -1/4*d + 1/2*d**3 - 1/4*d**v + 0*d**4 + 0*d**2 + 0.
-d*(d - 1)**2*(d + 1)**2/4
Find o, given that o**2 + 0 - 11/2*o**3 + 0*o = 0.
0, 2/11
Factor -8 - f**2 + 16*f**3 + 22*f**5 - 7*f**2 - 18*f**5 + 16*f**4 - 20*f.
4*(f - 1)*(f + 1)**3*(f + 2)
Let n = -3 + 5. Find y such that -3*y**3 + 3*y**3 + 8*y**2 - 8*y - n*y**3 = 0.
0, 2
Let a(l) = l - 6. Let p be a(-7). Let s = 13 + p. Let 4/5*z**3 + 2/5*z**2 + 0 + s*z + 2/5*z**4 = 0. Calculate z.
-1, 0
Let n(d) = d**3 - 3*d**2 - 3*d. Let o be n(4). Let y be (-1)/((-3)/12*2). Factor 8*q**o - 3*q**y - 6*q**3 + 2*q**4 - q**2.
2*q**2*(q - 1)*(5*q + 2)
Let q(h) be the third derivative of -h**5/30 + h**4/2 - 8*h**3/3 - 20*h**2. What is i in q(i) = 0?
2, 4
Factor -11/2*v**5 - v**3 + 0*v + 0*v**2 + 0 + 13/2*v**4.
-v**3*(v - 1)*(11*v - 2)/2
Let f(t) be the second derivative of -t**4/84 + t**3/14 + 2*t**2/7 - 10*t. Suppose f(u) = 0. Calculate u.
-1, 4
Factor -5832/5*o + 972/5*o**2 - 72/5*o**3 + 13122/5 + 2/5*o**4.
2*(o - 9)**4/5
Let o(a) = -5*a**4 + 3*a**3 - 3. Let f(z) = -21*z**4 + 11*z**3 - 13. Let c(k) = -6*f(k) + 26*o(k). Factor c(b).
-4*b**3*(b - 3)
Suppose 35 = -2*v + 5*g, -v + 4*v + 40 = -5*g. Let i = 15 + v. Solve 0*h**3 + 0 + i*h + 2/9*h**4 - 2/9*h**2 = 0.
-1, 0, 1
Let f be (-1 + 1)/(1/1). Let g be (-8)/(-48) + (-14)/(-12). Factor f + g*j - 2/3*j**2.
-2*j*(j - 2)/3
Let q = -3 - -7. Let i(j) be the second derivative of -2*j + 0*j**3 + 1/48*j**q - 1/8*j**2 + 0. Factor i(h).
(h - 1)*(h + 1)/4
Let b = -89339087/8008 - -156199/14. Let q = b - -7/104. Factor 14/11*o**2 - 4/11 - q*o.
2*(o - 1)*(7*o + 2)/11
Let h be ((-15)/27 - 1/(-3))*-3. Factor 2/9*l**3 + 0*l**2 + 4/9 - h*l.
2*(l - 1)**2*(l + 2)/9
Suppose -16 = -4*h, 16 = -46*b + 51*b + 4*h. Factor -1/7*z**3 - 1/7*z**2 + 1/7*z + b + 1/7*z**4.
z*(z - 1)**2*(z + 1)/7
Let z(f) 