ve of -1/42*d**7 - 1/6*d**3 + 2/15*d**6 + 0*d**2 + d + 1/3*d**4 + 0 - 3/10*d**5. Factor c(h).
-h*(h - 1)**4
Let h(k) = -15*k**2 + 7 - 2*k**3 - 10*k - 7*k**4 - 3 - 10*k**3. Let f(s) = -6*s**4 - 12*s**3 - 15*s**2 - 9*s + 3. Let n(v) = 4*f(v) - 3*h(v). Factor n(m).
-3*m*(m + 1)**2*(m + 2)
Let z = -9602/7 + 1353. Let m = z - -19. Factor -2/7*v**4 - m*v + 2/7*v**2 + 0 + 2/7*v**3.
-2*v*(v - 1)**2*(v + 1)/7
Let m(q) be the first derivative of q - 1 + 1/3*q**3 - q**2. Solve m(f) = 0.
1
Let o(l) be the third derivative of 1/180*l**5 + 0*l**3 + l**2 - 1/360*l**6 + 0*l + 0*l**4 + 0. Factor o(y).
-y**2*(y - 1)/3
Let t = 3 - 1. Let 6*x + 0 - 4 - x**3 + t - 3*x = 0. What is x?
-2, 1
Let x = -1 + 5. Suppose x*r = 15 + 1. Factor 1/2*q**2 + 9/4*q**r + 0 + 11/4*q**3 + 0*q.
q**2*(q + 1)*(9*q + 2)/4
Determine y so that -10*y - 4*y + 0*y**2 - 12 - 2*y**2 = 0.
-6, -1
Let w = 947 - 1831/2. Let h = w + -31. Factor o - h - 1/2*o**2.
-(o - 1)**2/2
Let n(o) = o**4 - o**3 - o**2 + o + 1. Let y(c) = -8*c**4 + 7*c**3 + 9*c**2 - 7*c - 6. Let a(i) = 5*n(i) + y(i). Suppose a(x) = 0. What is x?
-1, -1/3, 1
Suppose 6*m - 20 = m. Suppose -490*x + 492*x = 6. Solve 2/7*k**m + 0 + 2/7*k**x + 0*k**2 + 0*k = 0.
-1, 0
Solve -d**2 + d**5 - 25*d + d**4 + 15*d + 12*d - 3*d**3 = 0.
-2, -1, 0, 1
Let x(g) = g**2 - 8*g + 5. Let y be x(7). Let o be y/(-8) - 1/4. Let 0*v + 0*v**2 + 2/7*v**5 + 8/7*v**4 + 8/7*v**3 + o = 0. What is v?
-2, 0
Let x(o) be the third derivative of o**6/780 + o**5/130 - 2*o**4/13 + 28*o**3/39 + 15*o**2. Suppose x(y) = 0. What is y?
-7, 2
Let z(h) = 8*h**3 - 8*h**2 - 8*h + 8. Let a be ((-16)/4)/((-2)/(-7)). Let y(w) = w**3 - w**2 - w + 1. Let b(d) = a*y(d) + 2*z(d). Let b(x) = 0. Calculate x.
-1, 1
Suppose 62*u - 65*u = -12. Solve -1/5*o**2 - 1/5*o + 0 + 1/5*o**3 + 1/5*o**u = 0 for o.
-1, 0, 1
Let o(x) be the second derivative of x**5/80 - x**3/24 + 16*x + 1. Factor o(m).
m*(m - 1)*(m + 1)/4
Suppose -11*t - 142 = -197. Factor -2*i**4 - 1/4*i**t - 25/4*i**3 - 19/2*i**2 - 2 - 7*i.
-(i + 1)**2*(i + 2)**3/4
Let a(r) = -3*r**4 - r**3 + 7*r**2 + 5*r - 5. Let x(d) = 4*d**4 + 2*d**3 - 8*d**2 - 6*d + 6. Let m(i) = -6*a(i) - 5*x(i). Factor m(s).
-2*s**2*(s + 1)**2
Let r be (4 - 2) + 1 + -1. Let u be (r - 15/9)*6. Factor u*q**2 - 3 + 3.
2*q**2
Let j(c) be the first derivative of -1 - 2/15*c**3 + 2/5*c**2 + 0*c. Let j(z) = 0. What is z?
0, 2
Let f(v) be the first derivative of 2*v**5/45 - v**4/6 + 4*v**3/27 - 41. Solve f(d) = 0 for d.
0, 1, 2
Let p = 7 - -3. Let c = p + -5. Factor 5/2*f**2 - 5/2*f**3 - 1/4*f**c + 1/4 - 5/4*f + 5/4*f**4.
-(f - 1)**5/4
Suppose -5*k = 0, 3*t + 4*k = -0*k - 3. Let s = 1 - t. Factor 6*y + 6*y**2 - 2 - 2*y - 3*y - 5*y**s.
(y - 1)*(y + 2)
Let o(g) be the third derivative of -g**5/300 - g**4/15 - 8*g**3/15 + 22*g**2. Solve o(t) = 0 for t.
-4
Let z(w) be the second derivative of w**4/48 + 7*w. Factor z(a).
a**2/4
Let c = -242 - -563/3. Let a = 55 + c. Factor -a - 2/3*m**2 - 4/3*m.
-2*(m + 1)**2/3
Let t(w) be the second derivative of -1/70*w**6 - 1/7*w**4 + 0 + 0*w**3 + 3/35*w**5 + 4*w + 0*w**2. Factor t(h).
-3*h**2*(h - 2)**2/7
Let r be 5 - 4*(-5)/(-20). Let f(t) be the first derivative of -1/25*t**5 - 1/20*t**r + 0*t + 0*t**2 - 2 + 0*t**3. Factor f(m).
-m**3*(m + 1)/5
Let j(d) be the third derivative of 0*d - d**2 + 0 - 1/48*d**4 + 0*d**7 + 0*d**3 + 0*d**5 + 1/120*d**6 - 1/672*d**8. Factor j(k).
-k*(k - 1)**2*(k + 1)**2/2
Solve 16/3*u - 78/5*u**2 + 54/5*u**3 - 8/15 = 0.
2/9, 1
Suppose 5*p = -8 + 23. Factor -3*g**2 + 2*g**p - 6*g + 9*g**2 - 4*g**3 + 2.
-2*(g - 1)**3
Suppose 3*u - 11 + 2 = 0. Suppose 0*a - 2*a**4 - 3/2*a**u + 1/2*a**2 + 0 = 0. What is a?
-1, 0, 1/4
Let k(m) be the first derivative of -m**5 - 5*m**4 - 10*m**3 - 10*m**2 - 5*m - 16. Factor k(s).
-5*(s + 1)**4
Let i(m) be the second derivative of -m**6/60 - 3*m**5/40 - m**4/24 + m**3/4 + m**2/2 + 4*m. Solve i(o) = 0 for o.
-2, -1, 1
Let s(k) be the first derivative of -2 - k**2 + 1/10*k**5 - 4*k + k**3 + 5/8*k**4. Factor s(q).
(q - 1)*(q + 2)**3/2
Let k(g) be the third derivative of g**10/90720 - g**8/20160 - g**4/8 - 4*g**2. Let w(r) be the second derivative of k(r). Determine d, given that w(d) = 0.
-1, 0, 1
Let t(y) be the second derivative of -3/5*y**3 - 7/30*y**4 - 2/5*y**2 - 3*y + 0. Determine x so that t(x) = 0.
-1, -2/7
Factor 5*j**3 - 2 - 6 - 15*j + 1 - 3.
5*(j - 2)*(j + 1)**2
Let x = 24 - 24. Let z be x - (2 + 120/(-9)). Factor 28/3*g**2 - z*g - 4.
2*(2*g - 3)*(7*g + 2)/3
Suppose -28 = -3*z - y + 5*y, z - 4*y = 20. Suppose -2/3 - 4*i**2 + 8/3*i**3 - 2/3*i**z + 8/3*i = 0. What is i?
1
Let m(d) be the second derivative of 0 - 3*d + 1/40*d**5 - 7/48*d**4 + 0*d**2 + 1/12*d**3 + 1/40*d**6. Factor m(y).
y*(y - 1)*(y + 2)*(3*y - 1)/4
Suppose -17*r + 10 = -15*r. Factor 1/2*x**4 - 1/2*x**r + 0*x - 1/2*x**2 + 0 + 1/2*x**3.
-x**2*(x - 1)**2*(x + 1)/2
What is w in 0*w**2 + 2*w**4 + 0 + 0*w + 4/5*w**3 - 14/5*w**5 = 0?
-2/7, 0, 1
Determine h, given that -1/4*h**2 + 1/2 - 1/4*h = 0.
-2, 1
Let r(l) = -l**5 + l**4 - l**3 + l**2 - l. Let g(v) = -5*v**5 + 3*v**4 - 3*v**3 + 5*v**2 - 4*v. Let x(f) = -g(f) + 4*r(f). Let x(i) = 0. Calculate i.
-1, 0, 1
Let b(x) = -3*x**2 - 21*x + 8. Let q be b(-7). Factor -8/3*y**3 - 16/3 - q*y**2 - 32/3*y - 1/3*y**4.
-(y + 2)**4/3
Let g be 1/3 + 2/(-6). Let b(t) be the second derivative of g - 1/105*t**7 + 1/15*t**3 + 0*t**2 - t + 1/15*t**4 - 2/75*t**6 + 0*t**5. Factor b(w).
-2*w*(w - 1)*(w + 1)**3/5
Suppose 4/3 + 2/3*q**2 - 2*q = 0. What is q?
1, 2
Suppose 0 = -r - 4*r - 2*y + 2, -3*r = y - 1. Let u(o) be the third derivative of 1/15*o**3 + 0*o - 1/150*o**5 + 0*o**4 + 2*o**2 + r. Solve u(d) = 0.
-1, 1
Let n = -5 + 13. Suppose 2*u = n - 0. Factor 0 + 2/5*h**2 - 6/5*h**3 + 6/5*h**u + 0*h - 2/5*h**5.
-2*h**2*(h - 1)**3/5
Let b(t) be the second derivative of -t**4/4 - 3*t**3/2 - 7*t. Factor b(p).
-3*p*(p + 3)
Suppose 2/3*a**2 + 2/3 - 4/3*a = 0. Calculate a.
1
Let x = 17 - 17. Let z(g) be the third derivative of -1/120*g**6 - 1/60*g**5 - g**2 + 1/24*g**4 + 0 + x*g + 1/210*g**7 + 0*g**3. Factor z(h).
h*(h - 1)**2*(h + 1)
Factor -10*f**3 - 8*f**3 + 30*f**3 - 5*f - 7*f**3.
5*f*(f - 1)*(f + 1)
Let q(f) be the first derivative of -7/4*f**4 + f**5 - f**3 - 5 - 2*f + 7/2*f**2. Find v, given that q(v) = 0.
-1, 2/5, 1
Let b(w) be the first derivative of -81*w**5/40 - 39*w**4/8 - 10*w**3/3 - w**2 + w + 4. Let q(o) be the first derivative of b(o). Solve q(s) = 0 for s.
-1, -2/9
Let t(y) be the third derivative of -y**8/192 + 19*y**7/840 - y**6/32 + y**5/240 + y**4/48 - 20*y**2. Suppose t(b) = 0. Calculate b.
-2/7, 0, 1
Let a(i) be the second derivative of 0*i**2 + 0 + 1/3*i**4 + 0*i**6 - 3/10*i**5 + 0*i**3 + 1/21*i**7 + i. Solve a(l) = 0.
-2, 0, 1
Let g = -5 + 6. Let n = 4 - g. Suppose -2/5*w - 2/5 + 2/5*w**n + 2/5*w**2 = 0. Calculate w.
-1, 1
Let x(h) = -h**3 - 4*h**2 - h + 1. Let a(d) = -d**2 + d + 1. Let k(r) = -a(r) + x(r). Find n, given that k(n) = 0.
-2, -1, 0
Let o be (-4)/((-48)/(-22)) - -1. Let v = -1/3 - o. Factor v*s**2 - 1/2 + 0*s.
(s - 1)*(s + 1)/2
Let i(f) be the first derivative of f**6/14 + 3*f**5/35 - 3*f**4/28 - f**3/7 + 25. Factor i(c).
3*c**2*(c - 1)*(c + 1)**2/7
Let u(m) = m**3 + 5*m**2 + 4*m + 7. Let q be u(-4). Let y = -3 + q. Factor -2/11*p**y - 216/11*p - 162/11 - 24/11*p**3 - 108/11*p**2.
-2*(p + 3)**4/11
Factor 0 + 30/13*o**2 + 2/13*o**4 + 14/13*o + 18/13*o**3.
2*o*(o + 1)**2*(o + 7)/13
Let t(j) = -j**3 - 5*j**2 - 4*j + 4. Let v(o) = -o + 4. Let q be v(8). Let r be t(q). Factor 2*b - 4*b**2 + 2*b**r + 2*b**3 - 2*b.
2*b**2*(b - 1)*(b + 2)
Let r be ((0 - 3) + 2)*-3. Factor 52*n**2 + 48*n + 4*n**4 + 4*n**3 + 10*n**3 + 16 + 0*n**r + 10*n**3.
4*(n + 1)**2*(n + 2)**2
Let w(y) be the first derivative of y**6/8 + 3*y**5/20 - 3*y**4/8 - y**3/2 + 3*y**2/8 + 3*y/4 + 8. Factor w(v).
3*(v - 1)**2*(v + 1)**3/4
Suppose 2*k = 5*k - 6. Let s = 0 + 0. Factor k*w + s - 1 - w**2 + 0.
-(w - 1)**2
Let a be 9/120*(-2)/(-18). Let d(k) be the third derivative of 0*k**3 + 3*k**2 + 0 + 0*k + a*k**5 - 1/240*k**6 + 0*k**4. Factor d(b).
-b**2*(b - 1)/2
Let d = -32783/12 + 2730. Let n = -7/4 - d. Factor -1/3*b**3 + 1/6*b - n - 1/6*b**4 + 1/3*b**2 + 1/6*b**5.
(b - 1)**3*(b + 1)**2/6
Let c be 0*2*(-4)/16. Let p(z) be the first derivative of 0*z + 0*z**3 - 2/15*z**5 + c*z**2 + 1/6*z**4 + 1.