 = -3*p**3 + 9*p**2 - 15*p + 3. Suppose -3*k + 30 = 2*k. Let t(v) = k*z(v) - o(v). Factor t(n).
3*(n - 1)**3
Let n(a) be the third derivative of a**8/26880 - a**7/5040 + a**6/2880 - a**4/12 - 2*a**2. Let j(y) be the second derivative of n(y). Factor j(o).
o*(o - 1)**2/4
Let k(g) be the third derivative of g**10/529200 + g**9/211680 - g**5/30 - 2*g**2. Let r(w) be the third derivative of k(w). Factor r(v).
2*v**3*(v + 1)/7
Let r(y) be the first derivative of -2*y**5/35 + y**4/7 - 2*y**3/21 - 3. Factor r(h).
-2*h**2*(h - 1)**2/7
Suppose 31 = 3*o - 3*u + 7, -16 = -o + 3*u. Suppose o = 4*y - 12. Find a such that -1/5*a**5 + 0*a**y - 1/5*a + 2/5*a**3 + 0 + 0*a**2 = 0.
-1, 0, 1
Let s = -15 - -11. Let r be ((-4)/s - 0) + 1. Factor -3/2*p**r + 0 + 3/2*p**3 + 1/2*p - 1/2*p**4.
-p*(p - 1)**3/2
Let u(k) be the first derivative of 4/3*k**3 + 5/2*k**2 + 2*k + 5 + 1/4*k**4. Suppose u(r) = 0. Calculate r.
-2, -1
Suppose -12*n + 36*n**2 + 19*n**3 + 0*n**2 + 2*n**3 = 0. Calculate n.
-2, 0, 2/7
Let x = -522 + 1580/3. Solve -12*n**5 + x*n**3 + 0 + 2*n**2 - 2/3*n - 10*n**4 = 0.
-1, -1/2, 0, 1/3
Let k(v) = 19*v**3 + 88*v**2 + 69*v - 32. Let i(b) = -29*b**3 - 132*b**2 - 103*b + 48. Let d(c) = -5*i(c) - 7*k(c). Find q, given that d(q) = 0.
-2, 1/3
Let z(w) = -6*w**4 - 12*w**3 - 12*w**2 - 3*w - 3. Let a(y) = 0*y + 3 + 4*y**3 + 5*y**4 + 12*y**2 + 8*y**3 - 1 + 2*y. Let l(i) = 3*a(i) + 2*z(i). Factor l(o).
3*o**2*(o + 2)**2
Let m(k) be the first derivative of -k**3 - 45*k**2 - 675*k - 36. Factor m(u).
-3*(u + 15)**2
Let y be (-12)/30 + 9/10. Let u(f) be the first derivative of -1 + 0*f**3 + 0*f - y*f**4 + f**2. Factor u(g).
-2*g*(g - 1)*(g + 1)
Let a = 18 - 14. Factor d**3 - 3*d + 6 - 9*d**2 + 2*d**3 - 10*d**a + 13*d**4.
3*(d - 1)**2*(d + 1)*(d + 2)
Let n(w) = -8*w**2 - 7*w - 6. Let i(b) = -b**2 - b - 1. Let r(y) = 21*i(y) - 3*n(y). Factor r(v).
3*(v - 1)*(v + 1)
Let q(n) be the first derivative of -2/17*n**2 + 2/51*n**3 + 2/17*n - 8. Factor q(x).
2*(x - 1)**2/17
Let l(g) be the second derivative of 3*g**5/50 - 7*g**4/30 + g**3/3 - g**2/5 + 30*g. Factor l(u).
2*(u - 1)**2*(3*u - 1)/5
Let 0*r - 4/3*r**4 + 4/3*r**2 - 4/3*r**3 + 4/3*r**5 + 0 = 0. Calculate r.
-1, 0, 1
Let m(w) be the first derivative of 3*w**5/20 + 3*w - 3. Let h(q) be the first derivative of m(q). Factor h(i).
3*i**3
Let j = 246/5 + -49. Let g(n) be the first derivative of -j*n**5 - 2*n**2 + n**4 + 4*n + 3 - n**3. Find x, given that g(x) = 0.
-1, 1, 2
Let c(t) be the second derivative of -3*t**7/14 + 4*t**6/5 - 11*t**5/10 + 2*t**4/3 - t**3/6 + 24*t. Factor c(k).
-k*(k - 1)**2*(3*k - 1)**2
Factor -5 - 6*s**2 + 2*s - 6*s + 7*s**2.
(s - 5)*(s + 1)
Suppose 8 = 3*z + 2*m, -4*m + 13 = -2*z - 3. Factor -9/5*t**2 - 11/5*t**4 + z + 3/5*t**5 + 3*t**3 + 2/5*t.
t*(t - 1)**3*(3*t - 2)/5
Let a(q) be the third derivative of -9/140*q**5 - 8/7*q**3 - 3/7*q**4 + 0*q + 0 + 3*q**2 - 1/280*q**6. Factor a(j).
-3*(j + 1)*(j + 4)**2/7
Let b = -25/286 - -7/26. Find x, given that -b*x + 2/11*x**3 - 2/11*x**2 + 0 + 2/11*x**4 = 0.
-1, 0, 1
Let y(n) be the second derivative of n**5/100 + n**4/12 + 2*n**3/15 + 16*n. Factor y(l).
l*(l + 1)*(l + 4)/5
Let f(p) be the first derivative of p**5/20 + p**4/4 - 7*p**2/2 - 4. Let x(v) be the second derivative of f(v). Solve x(r) = 0.
-2, 0
Let x(k) be the third derivative of -5*k**8/252 + k**7/15 + k**6/36 - 2*k**5/15 - k**4/9 + 9*k**2. Let x(w) = 0. Calculate w.
-1/2, -2/5, 0, 1, 2
Suppose 0 = 3*r + 2*r + 5*a - 20, -2*r - 3*a + 10 = 0. Suppose 3 = m + r*m + x, -5*x + 15 = 0. Factor 2*q**2 - 5 + 3 + m*q**2.
2*(q - 1)*(q + 1)
Let 0 + 2/3*m**2 - 2/9*m**3 - 4/9*m = 0. Calculate m.
0, 1, 2
Let q(v) be the first derivative of -2*v**5/5 - 2*v**4 - 4*v**3 - 4*v**2 - 2*v - 6. Factor q(g).
-2*(g + 1)**4
Let q(k) be the first derivative of 2/9*k**3 - 1/6*k**2 + 1 + 0*k - 1/12*k**4. Suppose q(y) = 0. What is y?
0, 1
Suppose g = 2*w - 28, w - 37 = -2*w + 4*g. Let k be 6/(-8) + w/20. Find d, given that -2/3*d**3 + 0*d**2 + 0*d + k = 0.
0
Let o be 2/(-5) + 6/15. Let a(h) be the third derivative of o*h**4 + 3*h**2 - 1/660*h**6 + 0*h**3 + 0*h + 0 - 1/330*h**5. Solve a(m) = 0 for m.
-1, 0
Let r(q) be the third derivative of -q**7/1155 - q**6/220 - q**5/110 - q**4/132 + 14*q**2. Let r(c) = 0. Calculate c.
-1, 0
Let c = 181112/5 + -36109. Let x = c + -113. Let 0 + x*z**2 + 2/5*z = 0. What is z?
-1, 0
Solve 4*f**3 - 9*f + 5*f**3 + 6*f**2 - 10*f**3 = 0 for f.
0, 3
Let z(v) be the second derivative of -v**5/120 + v**4/36 + 8*v. Suppose z(g) = 0. Calculate g.
0, 2
Let f = 5 - 2. Find v, given that -1 - 2*v**f - 4*v + 15*v**2 - 3 - 2*v**4 - 3*v**4 = 0.
-2, -2/5, 1
Let u(s) be the third derivative of s**11/1496880 - s**9/136080 + s**7/22680 - s**5/30 + s**2. Let k(n) be the third derivative of u(n). Factor k(d).
2*d*(d - 1)**2*(d + 1)**2/9
Factor 6*v**2 - 6 + 4*v**2 - 2 + 2*v**2 + 20*v.
4*(v + 2)*(3*v - 1)
Let g(y) be the second derivative of 1/8*y**3 + 1/4*y**2 - 3*y - 17/48*y**4 - 1/42*y**7 + 1/40*y**6 + 0 + 13/80*y**5. Let g(m) = 0. What is m?
-2, -1/4, 1
Factor t**2 + 12*t - 24 + 10 + t**2.
2*(t - 1)*(t + 7)
Suppose -7/2*t**2 + 0 - 2*t**3 - 3/2*t = 0. Calculate t.
-1, -3/4, 0
Factor 8*k**3 + 22*k + 4*k - 22*k**2 - 9 - k**4 - 5*k + 3*k.
-(k - 3)**2*(k - 1)**2
Let r(i) = -70*i**5 - 30*i**4 - 4*i**2. Let y(p) = 70*p**5 + 31*p**4 + p**3 + 3*p**2. Let d(j) = 3*r(j) + 4*y(j). Factor d(v).
2*v**3*(5*v + 1)*(7*v + 2)
Let s(p) be the second derivative of -1/2*p**2 + 0*p**3 - 1/270*p**5 - p + 0 - 1/90*p**6 + 1/108*p**4. Let o(i) be the first derivative of s(i). Factor o(c).
-2*c*(2*c + 1)*(3*c - 1)/9
Let i(b) be the second derivative of -b**8/40320 + b**6/1440 + b**5/360 + b**4/6 - b. Let j(a) be the third derivative of i(a). Solve j(h) = 0.
-1, 2
Let h be ((-9)/(-36))/((-1)/(-4)). Let w be -4 - ((-1 - h) + -2). Solve 0*z + w + 0*z**2 - 5/6*z**4 + 1/3*z**3 + 1/2*z**5 = 0 for z.
0, 2/3, 1
Factor 1/3*h**2 + 0 - 2/3*h.
h*(h - 2)/3
Let n be (54/45)/(3/5). Determine s so that 0*s**3 + 1/2 - s**n + 0*s + 1/2*s**4 = 0.
-1, 1
Let -3 + 3*y + 7*y**3 + 6 - 3*y**2 + 0 - 10*y**3 = 0. What is y?
-1, 1
Let f(p) be the first derivative of p**4/6 - 2*p**3/3 + 2*p - 5. Let n(g) be the first derivative of f(g). Factor n(b).
2*b*(b - 2)
Let v(i) be the second derivative of i**9/45360 - i**8/6720 + i**7/3780 + i**4/3 + 7*i. Let k(a) be the third derivative of v(a). Find j, given that k(j) = 0.
0, 1, 2
Let a be -2 - 218*(-3)/306. Let r = a - -155/357. Factor r*d + 0*d**2 + 2/7 - 4/7*d**3 - 2/7*d**4.
-2*(d - 1)*(d + 1)**3/7
Suppose -k + 5*k = 3*o - 4, -4*k - o = -12. Factor 4*w + 2*w**2 + 5*w**k + 0*w**2 - 3*w**2.
4*w*(w + 1)
Suppose 5*n = -3*b + 15, 5*n + 5*b - 6 = 19. Suppose 0 = -2*x - 2*j, j - 7 = -2*x - 3. Factor 0 + n*u**2 + 0*u - 3/4*u**5 + 0*u**3 + 3/4*u**x.
-3*u**4*(u - 1)/4
Let i(s) be the third derivative of s**5/150 + s**4/12 + 4*s**3/15 + 4*s**2. Factor i(u).
2*(u + 1)*(u + 4)/5
Suppose n + 3*c = -n + 3, 5*c - 1 = -2*n. Suppose -n = -y + 3. Factor 0*r**3 - 9*r**4 - r**4 + y*r**3 + 2*r**2 + 2*r**4.
-2*r**2*(r - 1)*(4*r + 1)
Let k(v) be the third derivative of v**6/840 + 17*v**5/420 + 10*v**4/21 + 32*v**3/21 + 25*v**2. Factor k(r).
(r + 1)*(r + 8)**2/7
Let q(n) = 4*n**2 + 6*n - 16. Let w(l) = -8*l**2 - 11*l + 32. Let d(i) = 13*q(i) + 6*w(i). Factor d(v).
4*(v - 1)*(v + 4)
Let j = -24/61 + 597/122. Suppose j*y + 0 + 3/2*y**2 = 0. Calculate y.
-3, 0
Let t(n) be the first derivative of -1/2*n**4 - 2/3*n**3 - 3 + 0*n - 1/4*n**2. Factor t(j).
-j*(2*j + 1)**2/2
Let v(f) = -f**2 - 7*f - 3. Let p be v(-7). Let o be 83/4 - p/12. Factor -29*t**2 - o*t - 70*t**3 - 7*t - 4 - 40*t**2 - 25*t**4.
-(t + 1)**2*(5*t + 2)**2
Suppose -173*q = -169*q. Determine j so that q - 3/4*j - 3/4*j**2 = 0.
-1, 0
Let m = -24 + 73/3. Suppose 17 - 2 = 5*d. Factor -m*p + 1/3*p**d - 1/3 + 1/3*p**2.
(p - 1)*(p + 1)**2/3
Let f(x) = x**3 + 7*x**2 - 2*x - 12. Let g be f(-7). Factor -u**g - u**3 - 1/2 - 1/2*u**5 + 3/2*u**4 + 3/2*u.
-(u - 1)**4*(u + 1)/2
Let h(v) = -v**3 - 7*v**2 - v - 9. Let g be h(-7). Let r = 0 - g. Factor 0*f**2 + 6*f - 2*f + r*f**2.
2*f*(f + 2)
Let k(b) be the second derivative of -b**5/4 + 5*b**4/3 + 55*b**3/6 + 15*b**2 + 49*b. Factor k(q).
-5*(q - 6)*(q + 1)**2
Let z = 3/244 + 45/61. Suppose -9/4*b - 3/4*b**3 - 9/4*b**2 - z = 0. Calculate b.
-1
Let 