n(g) = 13*j(g) + 6*z(g). Factor n(v).
-2*(v - 1)**3
Suppose 0 = 3*u - 2*h - 27, -5*u - h + 45 = h. Factor 2*q**5 - u*q**4 + 2*q**5 + q**3 + 31*q**3 - 16*q**2 - 11*q**4.
4*q**2*(q - 2)**2*(q - 1)
Let z(c) be the first derivative of -c**4/4 - 2*c**3/3 - 9. Factor z(g).
-g**2*(g + 2)
Suppose 3*m - 42 = -42. Factor m + 2/9*q**2 - 2/3*q.
2*q*(q - 3)/9
Let c(o) be the second derivative of -o**6/1440 + o**5/240 - o**4/96 - o**3/3 - 4*o. Let j(s) be the second derivative of c(s). Solve j(a) = 0 for a.
1
Solve 3/2 - 9/8*c**2 - 3/8*c**3 + 0*c = 0 for c.
-2, 1
Let l(j) be the first derivative of -4*j**7/525 - j**6/300 - j**2/2 - 2. Let y(v) be the second derivative of l(v). Factor y(a).
-2*a**3*(4*a + 1)/5
Let x(k) = k**3 + 3*k**2 + 8*k - 2. Let b(i) = -4*i**3 - 8*i**2 - 25*i + 7. Let w(l) = -2*b(l) - 7*x(l). Factor w(c).
c*(c - 6)*(c + 1)
Let a = -4023/5 + 809. Suppose 12/5 - a*b + 6/5*b**2 = 0. What is b?
2/3, 3
Suppose 16 = 5*m + 1. Factor m - 6 + 3 - o + o**2.
o*(o - 1)
Let l be (-1)/980*(-28)/21*1. Let z(s) be the third derivative of -l*s**7 + 0 + 1/210*s**5 + 0*s**3 + 0*s + 4*s**2 + 0*s**4 + 0*s**6. Factor z(h).
-2*h**2*(h - 1)*(h + 1)/7
Suppose -2*q - 5*b - 34 = -3*q, 5*q - 116 = -2*b. Let j be (3/42)/(6/q). Factor 2/7*h**2 - j*h**3 + 2/7*h - 2/7.
-2*(h - 1)**2*(h + 1)/7
Let q(v) be the third derivative of v**8/144 - 8*v**7/315 - 17*v**6/360 + v**5/30 + 8*v**2. Find o, given that q(o) = 0.
-1, 0, 2/7, 3
Let f(t) be the third derivative of t**5/20 - 2*t**3 + 10*t**2. Let f(g) = 0. What is g?
-2, 2
Let -3/2*j**4 + 9/2*j**2 + 0*j**3 + 3*j + 0 = 0. Calculate j.
-1, 0, 2
Factor 2*m**2 - 6 + 1 + 2 + 1.
2*(m - 1)*(m + 1)
Let i(g) be the second derivative of -1/36*g**4 + 0*g**3 - 2*g - 1/2*g**2 - 1/90*g**5 + 0. Let c(w) be the first derivative of i(w). Factor c(n).
-2*n*(n + 1)/3
Let i(d) be the second derivative of 5/18*d**4 - 1/21*d**7 + 1/18*d**5 - 4/9*d**2 + 0 + 0*d**3 - 1/9*d**6 - d. Factor i(b).
-2*(b + 1)**3*(3*b - 2)**2/9
Let c = 393 + -23579/60. Let t(q) be the second derivative of -1/24*q**4 + 0 + 1/24*q**3 + 0*q**2 - 1/168*q**7 + c*q**6 + 0*q**5 + 2*q. Factor t(m).
-m*(m - 1)**3*(m + 1)/4
Suppose g - 20 = -3*g. Let b be 3*1 - (1 - 0). Factor b*r - r**2 - 3*r + 0 + g - 3.
-(r - 1)*(r + 2)
Factor -80*y**2 - 8*y**4 + 10*y**3 + 95*y**2 + 3*y**4.
-5*y**2*(y - 3)*(y + 1)
Suppose w - 6*w - 15 = 0. Let y be w/(2/(-6)*3). Solve -2/3*n**4 + 2/3*n + 0 + 2*n**y - 2*n**2 = 0 for n.
0, 1
Let i be 1/(0 + (-3)/(-3 - 6)). Suppose -4*u = u. Solve -1/4*s**4 + u + 1/4*s**i + 0*s - 1/4*s**5 + 1/4*s**2 = 0 for s.
-1, 0, 1
Let q(c) be the second derivative of c**6/25 - 9*c**5/25 + 9*c**4/10 + 4*c - 7. Factor q(a).
6*a**2*(a - 3)**2/5
Let r(z) = z**2 + 3*z - 5. Let u be r(-5). Factor -2*b**2 - 2*b**2 + 14*b - 12*b**3 - 7*b**3 + u*b**3 + 4.
-2*(b - 1)*(b + 1)*(7*b + 2)
Suppose 3/2*t**4 + 0*t + 0 - 3*t**2 - 3/2*t**3 = 0. What is t?
-1, 0, 2
Factor -11/7*x**2 - 1/7*x**5 + 3/7*x**4 + 1/7*x**3 + 12/7*x - 4/7.
-(x - 2)*(x - 1)**3*(x + 2)/7
Let q(w) be the third derivative of w**5/390 + 7*w**4/156 + 2*w**3/13 - 22*w**2. Determine s, given that q(s) = 0.
-6, -1
Let j(f) be the first derivative of -25*f**4/6 - 10*f**3/3 - f**2 - 2*f/15 + 5. Determine d so that j(d) = 0.
-1/5
Let z(y) = 405*y**4 + 225*y**3 - 125*y**2 + 55*y. Let t(i) = 29*i**4 + 16*i**3 - 9*i**2 + 4*i. Let a(q) = -55*t(q) + 4*z(q). Let a(k) = 0. What is k?
-1, 0, 1/5
Suppose -4*p = -2*h + 22, 4*h - 20 = p + p. Factor -q**3 + 0*q**h + 4 - 4.
-q**3
Let k be 2/(-14)*77/(-660). Let q(x) be the third derivative of 1/360*x**6 + 0*x**3 - k*x**5 - x**2 - 1/72*x**4 + 0*x + 1/210*x**7 + 0. Factor q(j).
j*(j - 1)*(j + 1)*(3*j + 1)/3
Let w(g) be the second derivative of g**6/1260 - g**5/210 + g**4/84 + 4*g**3/3 - 3*g. Let p(k) be the second derivative of w(k). Solve p(z) = 0 for z.
1
Let y(w) be the first derivative of -w**5/40 - 3*w + 1. Let l(u) be the first derivative of y(u). Factor l(b).
-b**3/2
Let f be (-1 + 9)/(-1) + -2. Let q(m) = -16*m**2 + 34*m - 14. Let d(j) = -2 - 13*j**2 - 11*j + 18*j**2 + 7. Let u(h) = f*d(h) - 3*q(h). Factor u(x).
-2*(x - 2)**2
Let u(l) = -l**2 + 2*l + 3. Let r(t) = t - 1. Let s(a) = -2*a**2 + 9*a + 3. Let o(z) = -4*r(z) + s(z). Let d(i) = 2*o(i) - 5*u(i). Find b, given that d(b) = 0.
-1, 1
Let d be ((-1)/(-150))/(4/5). Let b(y) be the third derivative of 2*y**2 + d*y**6 + 0*y**5 + 0 + 0*y**3 + 0*y**4 + 0*y. Suppose b(u) = 0. Calculate u.
0
Let v(w) be the third derivative of 109/300*w**6 + 0 + 0*w**3 + 1/15*w**4 + 7/120*w**8 + 0*w - 6*w**2 - 6/25*w**7 - 6/25*w**5. Factor v(s).
2*s*(s - 1)**2*(7*s - 2)**2/5
Let k(q) be the first derivative of -q**4/16 + q**3/6 - q**2/8 - 5. Determine c, given that k(c) = 0.
0, 1
Let z = 4 - -6. Factor 4*v - v - 16 + 0*v**4 + 12*v**2 - z*v**3 + 5*v + 2*v**4.
2*(v - 2)**3*(v + 1)
Let h(s) be the first derivative of -4/11*s**2 + 0*s - 4/55*s**5 - 1/33*s**6 + 3/22*s**4 + 3 + 8/33*s**3. Determine a so that h(a) = 0.
-2, 0, 1
Let b(n) = n + 5. Let g be b(-3). Solve 4*m + 5*m**g + 5*m**3 + 3*m**2 + 2*m - 2*m + m**4 = 0 for m.
-2, -1, 0
Let u(a) be the third derivative of a**7/1260 - a**5/60 - a**4/18 - a**3/3 + 6*a**2. Let z(m) be the first derivative of u(m). Suppose z(g) = 0. Calculate g.
-1, 2
Let m = 130 - 125. Let t(x) be the third derivative of 0*x**6 + 0*x + 1/90*x**m - 1/72*x**4 + 0 - 3*x**2 + 0*x**3 + 1/1008*x**8 - 1/315*x**7. Factor t(j).
j*(j - 1)**3*(j + 1)/3
Let b(w) be the first derivative of -2*w**5/45 + 5*w**4/9 - 16*w**3/9 + 22*w**2/9 - 14*w/9 + 29. Let b(l) = 0. Calculate l.
1, 7
Suppose -9/2*l - 3/4*l**2 - 15/4 = 0. Calculate l.
-5, -1
Let q(h) be the third derivative of -h**7/3150 - h**6/900 + h**5/75 + 5*h**4/24 - 6*h**2. Let g(t) be the second derivative of q(t). Let g(l) = 0. What is l?
-2, 1
Let p(k) be the first derivative of -2*k**6/45 - k**5/5 - k**4/3 - 2*k**3/9 + 4*k - 2. Let j(s) be the first derivative of p(s). Factor j(c).
-4*c*(c + 1)**3/3
Let w(n) be the second derivative of -3*n**5/20 - 5*n**4/4 - 3*n**3/2 + 27*n**2/2 + 2*n. Let w(m) = 0. Calculate m.
-3, 1
Suppose 2*j - a - 3 - 2 = 0, -3*j - 25 = 5*a. Let g(t) be the first derivative of 1/2*t**4 + t**2 + 2 - 4/3*t**3 + j*t. Factor g(w).
2*w*(w - 1)**2
Let l(t) be the first derivative of -3*t**3 - 3*t - 3/4*t**4 + 10 - 9/2*t**2. Let l(a) = 0. Calculate a.
-1
Suppose 5*p + 3*s - 25 = 0, 0*p + 4*s = 4*p + 12. Let m(k) be the third derivative of 0*k - 1/24*k**4 + 1/60*k**5 + k**p + 0*k**3 + 0. Factor m(d).
d*(d - 1)
Let p be 3/((-162)/8)*12/(-8). Factor 2/9*y**2 + 0 - p*y.
2*y*(y - 1)/9
Factor -2/17*d**2 - 2/17*d**3 + 0 + 4/17*d.
-2*d*(d - 1)*(d + 2)/17
Solve 3/8 - 1/4*l - 1/8*l**2 = 0.
-3, 1
Let l(q) be the third derivative of 1/24*q**3 + 1/48*q**4 + 2*q**2 + 0 + 1/240*q**5 + 0*q. Let l(t) = 0. What is t?
-1
Let a(z) be the third derivative of z**8/840 - z**7/525 - z**6/150 + z**5/75 + z**4/60 - z**3/15 - 7*z**2. Let a(o) = 0. Calculate o.
-1, 1
Let g = 0 - -6. Let s be g + 5/(15/(-6)). Factor 0*f + 2/3*f**5 - 16/3*f**2 + 0 - s*f**4 + 8*f**3.
2*f**2*(f - 2)**3/3
Let o(u) = -u**3 + 4*u**2 - 4*u + 2. Suppose -4 = i - 3*i. Let m be o(i). Factor 5*z**4 - 2*z**2 + 7*z**3 + 0*z**2 + 0*z**4 + 4*z**m.
z**2*(z + 1)*(5*z + 2)
Let q(f) = f**3 + 7*f**2 + 7*f + 8. Let u be q(-6). Factor -5*p**u + 3*p**2 + p**2.
-p**2
Find w such that 0 + 0*w**4 + 0*w + 0*w**2 + 2/15*w**3 - 2/15*w**5 = 0.
-1, 0, 1
Let w(b) be the third derivative of b**8/10080 + b**7/1260 + b**6/360 - 2*b**5/15 + 4*b**2. Let m(u) be the third derivative of w(u). Let m(a) = 0. What is a?
-1
Suppose 15 = 8*v - 25. Suppose -1 = 2*p - v. Factor -2*x**p + 2*x - 1/2.
-(2*x - 1)**2/2
Suppose 8*j**2 - 87*j**4 - j**3 + 89*j**4 - 7*j**3 = 0. What is j?
0, 2
Let b(k) be the first derivative of -k**5/20 + k**3/12 - 6. Solve b(f) = 0.
-1, 0, 1
Let g(m) be the first derivative of -25*m**4/6 - 110*m**3/9 - 13*m**2 - 6*m + 2. Factor g(l).
-2*(l + 1)*(5*l + 3)**2/3
Determine k, given that 3/4*k**3 + 0 + 0*k - 3/4*k**2 = 0.
0, 1
Let d(x) = -11*x**2 - 9*x + 2. Let h(m) = -5*m**2 - 4*m + 1. Let n(c) = 6*d(c) - 13*h(c). Solve n(r) = 0.
-1
Let r(u) be the second derivative of -u**5/4 - 7*u**4/12 - u**3/3 + 30*u. Factor r(k).
-k*(k + 1)*(5*k + 2)
Let b(z) be the second derivative of z**4/96 + 5*z**3/48 - 3*z**2/8 + 27*z. Factor b(v).
(v - 1)*(v +