95 - 3*c**5/130 + c**4/26 - c**3/39 + 9*c. Factor o(v).
2*v*(v - 1)**3/13
Let k(v) be the third derivative of -1/90*v**6 + 0*v + 3*v**2 + 0 + 0*v**4 + 0*v**3 - 1/90*v**5. Suppose k(p) = 0. What is p?
-1/2, 0
Let w(j) = j + 6. Let u be w(3). Factor -2*d + 0 + d**2 + u + 8*d.
(d + 3)**2
Let m = 5 - 3. Let t(p) be the second derivative of 1/24*p**4 + 0 + 1/4*p**m + 2*p + 1/6*p**3. Factor t(o).
(o + 1)**2/2
Let x(t) = 60*t**5 + 57*t**4 + 15*t**3 + 6*t**2 - 12*t + 12. Let u(o) = o**4 - o**3 - o**2 + o - 1. Let f(g) = -12*u(g) - x(g). Suppose f(d) = 0. Calculate d.
-1, -2/5, 0, 1/4
Let l be (-478)/120 - -1 - -3. Let o(v) be the third derivative of v**2 + 0 + l*v**5 + 0*v**3 + 0*v**4 + 1/120*v**6 + 0*v. Determine i so that o(i) = 0.
-1, 0
Let s(f) be the third derivative of -1/360*f**6 + 0 + 0*f + 1/180*f**5 - f**2 + 1/72*f**4 - 1/18*f**3. Factor s(z).
-(z - 1)**2*(z + 1)/3
Let -1/6*g + 1/6*g**2 + 11/6*g**4 + 2/3*g**5 + 3/2*g**3 + 0 = 0. Calculate g.
-1, 0, 1/4
Factor -2/5*q**4 + 8/5*q + 0 - 6/5*q**3 + 0*q**2.
-2*q*(q - 1)*(q + 2)**2/5
Let -54 - 26 - 47*p + 3*p**2 + 7*p - 8*p**2 = 0. Calculate p.
-4
Let b(j) = -j**2 - 8*j + 2. Let i be b(-8). Factor -g**5 - 2*g - 2 - g**5 + 4*g**3 + 4*g**i + 0*g**3 - 2*g**4.
-2*(g - 1)**2*(g + 1)**3
Factor -8*r**3 + 4*r**4 - 8*r - 3 + 3 - 4*r**2 + 16*r.
4*r*(r - 2)*(r - 1)*(r + 1)
Factor 40 + 33*y - 13*y - y**3 - 4*y**3 - 10*y**2.
-5*(y - 2)*(y + 2)**2
Let a be 6632/(-308) + (-2)/11. Let b = 22 + a. Let -4/7 + b*r**2 + 2/7*r = 0. Calculate r.
-2, 1
Let z(c) be the first derivative of 2*c**5/65 + c**4/26 - 9. Factor z(b).
2*b**3*(b + 1)/13
Let t(l) be the second derivative of -l**4/78 - 4*l**3/39 - 3*l**2/13 - 26*l. Suppose t(j) = 0. Calculate j.
-3, -1
Suppose -5*a + 2*x + 28 = 8, 0 = 3*a - 4*x - 26. Factor -2*o**3 + o**2 - a*o**4 + 1 + 5/2*o - 1/2*o**5.
-(o - 1)*(o + 1)**3*(o + 2)/2
Let t(c) be the first derivative of -2*c**6/21 + 4*c**5/35 + 2*c**4/7 - 8*c**3/21 - 2*c**2/7 + 4*c/7 - 4. Factor t(d).
-4*(d - 1)**3*(d + 1)**2/7
Let u(p) be the first derivative of p**6/42 + 4*p**5/35 + p**4/7 - 2*p**3/21 - 5*p**2/14 - 2*p/7 + 43. Factor u(i).
(i - 1)*(i + 1)**3*(i + 2)/7
Let b(l) = 6*l**4 - 7*l**3 + 5*l**2 + 5. Suppose 4*s = -3 + 7. Let q = -4 - s. Let n(y) = 5*y**4 - 6*y**3 + 4*y**2 + 4. Let g(u) = q*n(u) + 4*b(u). Factor g(r).
-r**3*(r - 2)
Let o(t) = -4*t**4 + 20*t**3 - 44*t**2 - 118*t + 142. Let r(g) = g**4 + g**3 - g + 1. Let u(v) = o(v) + 2*r(v). Factor u(n).
-2*(n - 6)**2*(n - 1)*(n + 2)
Suppose 2*g + 2*g + 12 = 0. Let x(v) = 3*v**2 - 6*v + 3. Let u(n) = 3*n**2 - 6*n + 3. Let d(m) = g*x(m) + 2*u(m). What is q in d(q) = 0?
1
Let z(s) be the first derivative of -s**8/5880 + s**7/735 - s**6/315 - s**3/3 + 3. Let k(g) be the third derivative of z(g). Factor k(y).
-2*y**2*(y - 2)**2/7
Factor 0 - 4/9*l + 4/9*l**4 - 4/9*l**2 + 4/9*l**3.
4*l*(l - 1)*(l + 1)**2/9
Let u(p) be the first derivative of p**7/840 + p**6/240 + p**5/240 + p**2 - 4. Let t(v) be the second derivative of u(v). Find f such that t(f) = 0.
-1, 0
Let q(y) be the first derivative of 0*y**2 - 4/25*y**5 + 0*y - 6 - 1/5*y**4 + 0*y**3. Suppose q(b) = 0. What is b?
-1, 0
Let y(w) be the first derivative of -w**5/20 + w**3/12 - 5. Suppose y(h) = 0. Calculate h.
-1, 0, 1
Suppose 12 = -5*i + 32. Factor 10*k - 2 + 14*k**3 - 18*k**2 + 4*k**4 - 7*k**i - k**4.
-2*(k - 1)**3*(2*k - 1)
Let j = -65 + 197/3. Factor 0 - 2/3*h + j*h**2.
2*h*(h - 1)/3
Let o(j) = -j**2 + 6*j + 5. Let i be o(5). Suppose -i = -3*t + 20. Solve -2*x**2 + 2*x**4 + 0*x**3 + 2*x**3 - t*x + 8*x = 0.
-1, 0, 1
Let r(y) be the third derivative of 0*y**3 - 1/1176*y**8 + 0*y**7 + 1/420*y**6 + 0*y**5 - y**2 + 0*y + 0 + 0*y**4. Suppose r(t) = 0. What is t?
-1, 0, 1
Suppose 3*w - 23 = 4*j - 0, w - 5 = 0. Let o be (-1)/j - (-3)/6. Factor o + a + a + 0*a**2 - 3*a**2.
-(a - 1)*(3*a + 1)
Let x(v) be the third derivative of v**6/360 + v**5/30 + v**4/6 + 4*v**3/9 - 2*v**2. Factor x(f).
(f + 2)**3/3
Suppose -49*q = -45*q. Factor -1/4*r + 1/4*r**2 + q.
r*(r - 1)/4
Let o be (14 - 7) + 6/(-2). Let h = 1 + o. Factor -2*t - 2*t**2 - t**3 - 4*t + h*t.
-t*(t + 1)**2
Let k(o) be the second derivative of 4/45*o**4 + 2*o - 1/15*o**2 - 7/45*o**3 + 0. Suppose k(t) = 0. What is t?
-1/8, 1
Suppose 3*o + w + 28 = 0, 4 = -3*o + 5*w - 0*w. Let t be (o/(-48))/((-4)/(-6)). Factor 1/2*u**2 - 1/4*u - t.
(u - 1)*(2*u + 1)/4
Let u(m) be the first derivative of -4*m**3/3 + 4*m + 7. Solve u(k) = 0 for k.
-1, 1
Let 3 - 5 - 3*j**2 - 2*j**2 - 7*j = 0. Calculate j.
-1, -2/5
Let i(b) be the first derivative of -b**6/2 + 3*b**5 - 6*b**4 + 4*b**3 - 1. Find l such that i(l) = 0.
0, 1, 2
Let j = 20 + 1. Let w be j/(-70)*(-5)/6. Factor -1/4*n**3 + 1/4 + 1/4*n - w*n**2.
-(n - 1)*(n + 1)**2/4
Solve -2/3*c + 0 + 1/3*c**3 + 1/3*c**2 = 0.
-2, 0, 1
Let t(n) = 8*n**3 - 20*n**2 - 6*n - 18. Let f(y) = -y**3 + y**2 + 7*y - 4*y + 1 - 4*y. Let l(q) = 20*f(q) + 2*t(q). Determine j, given that l(j) = 0.
-2, -1
Let g be (1 - -3)*3/6. Factor -3 + g*z + 1 - 4*z**2 + 2.
-2*z*(2*z - 1)
Solve -7/5*q + 4/5 + 1/5*q**3 + 2/5*q**2 = 0 for q.
-4, 1
Find r such that -8/11 - 6/11*r**4 + 38/11*r**2 - 10/11*r**5 + 0*r + 34/11*r**3 = 0.
-1, 2/5, 2
Let q(f) be the third derivative of -f**6/30 + 2*f**5/15 - f**4/6 + 8*f**2. Find d such that q(d) = 0.
0, 1
Let o(g) be the third derivative of -g**6/30 + 2*g**5/15 + g**4/2 + 20*g**2. Factor o(q).
-4*q*(q - 3)*(q + 1)
Suppose 3*j = -2*x + 9, 2*j + x = j + 4. Let n be 3*-2*j/(-3). Factor -1/3*h**4 - h**3 - h**n - 1/3*h + 0.
-h*(h + 1)**3/3
Let t = 83 - 165/2. Solve -t*s**5 + 0*s**2 + 0 + 1/2*s**3 + 0*s**4 + 0*s = 0.
-1, 0, 1
Let k(m) be the second derivative of m**5/70 + m**4/21 - m**3/21 - 2*m**2/7 - 25*m. Factor k(w).
2*(w - 1)*(w + 1)*(w + 2)/7
Factor 0*j + 8/3*j**4 + 2/3*j**3 + 0*j**2 + 0.
2*j**3*(4*j + 1)/3
Let q(v) be the second derivative of -v**6/150 - v**5/100 + v**4/20 + v**3/30 - v**2/5 - v. Suppose q(w) = 0. What is w?
-2, -1, 1
Let a(z) be the first derivative of z**3/4 + 3*z**2/2 + 3*z + 15. Factor a(b).
3*(b + 2)**2/4
Let g(t) be the first derivative of -6/5*t**5 - 9/8*t**4 + 0*t - 1/4*t**6 + 2*t**3 + 2 + 3*t**2. Suppose g(q) = 0. What is q?
-2, -1, 0, 1
Let c(t) be the third derivative of -t**8/1848 - 4*t**7/1155 - t**6/165 - t**2. Factor c(f).
-2*f**3*(f + 2)**2/11
Let y(c) = -11*c + 13 - 2*c**3 - 5 + 13*c**3. Let z(n) = -4*n**3 + 4*n - 3. Let u(d) = 3*y(d) + 8*z(d). Find t, given that u(t) = 0.
-1, 0, 1
Suppose 4*a - y = 4 + 12, 0 = 4*a + y - 24. Let l(q) be the third derivative of 3*q**2 + 1/120*q**6 + 0*q - 1/60*q**a + 0*q**3 + 0 + 0*q**4. Factor l(r).
r**2*(r - 1)
Let 1 + 3*y**2 + 3 + 11*y - 5*y - 1 = 0. Calculate y.
-1
Suppose 4*p - 15 + 3 = 0. Suppose 0 = -r + p. Factor 1/2*c**4 + 0 + 0*c - 1/2*c**2 + 1/2*c**5 - 1/2*c**r.
c**2*(c - 1)*(c + 1)**2/2
Let x be 34*4/32 + -4. Find m, given that 0 + x*m - 1/4*m**2 = 0.
0, 1
Suppose 0*l**2 - 3/4*l**5 + 0 + 3/2*l**3 + 3/4*l**4 + 0*l = 0. Calculate l.
-1, 0, 2
Factor 0 + 1/3*n**3 - 2/3*n**2 + 0*n.
n**2*(n - 2)/3
Let r(n) be the first derivative of -3*n**4/2 + n**3/3 + 8*n**2 - 1. Let o(z) = -z**3 + 3*z. Let m(y) = -33*o(y) + 6*r(y). Factor m(i).
-3*i*(i - 1)**2
Let g(n) be the second derivative of 0 - 1/130*n**5 - 1/39*n**4 + 2/13*n**2 + 1/39*n**3 + 3*n. Factor g(j).
-2*(j - 1)*(j + 1)*(j + 2)/13
Let n = 7/166 - 757/19920. Let j(m) be the third derivative of 0*m**3 - n*m**5 + m**2 + 0 + 0*m + 0*m**4. Let j(c) = 0. What is c?
0
Let 3/2 - 5*s - 23/6*s**2 - 2/3*s**3 = 0. What is s?
-3, 1/4
Suppose 3*w - 36 = 54. Determine n, given that 2*n**2 - 5*n**2 - 26*n + 4 + w*n - 2*n**3 + n**4 = 0.
-1, 2
Solve -5*y + 3*y**2 - 3*y**3 + 4*y**3 + 4*y - 2*y**2 - y**4 = 0.
-1, 0, 1
Factor -2*v**2 + 3 + 3 - 3 - v**2.
-3*(v - 1)*(v + 1)
Let s(p) = p**2 + 7*p - 8. Let b be s(-8). Suppose -2*z + 2 + 6 = b. Let -10*h**3 - h - 6*h**2 - 2*h**4 - h + z*h**3 = 0. What is h?
-1, 0
Let z be (-1)/2*-2 - -1. Suppose 3*d + 0*s + s - 11 = 0, 2*d + 2*s = z. Factor 2 + d*m + 2 - 3 + 3*m**2 - 9*m**3.
-(m - 1)*(3*m + 1)**2
Let u(g) be the third derivative of g**5/420 - g**3/42 + 4*g**2. Factor u(o).
(o - 1)*(o + 1)/7
Let v be 2 - (-179)/(-60) - -1. Let h(q) be the third derivative of 0*q**3 + 0*q + q**2 + 1/24*q**4 + 0 - v*q**5. Factor h(r).
-r*(r - 1)
Suppose -4 = -6*g + 20. Let u(c) be the third der