4 + 12*q**3 - 13*q**2/2 + 3*q/2 + 1. Factor t(u).
-(u + 3)*(3*u - 1)**3/2
Let r = 144 - 140. Let p(n) be the first derivative of 1 + 0*n + 2/5*n**3 + 3/20*n**r + 0*n**2. Factor p(s).
3*s**2*(s + 2)/5
Let u(v) be the third derivative of v**8/3192 + v**7/665 - v**6/570 - v**5/95 + v**4/228 + v**3/19 - 21*v**2. Let u(r) = 0. What is r?
-3, -1, 1
Let i = 207 - 207. Find b such that 1/5*b**2 + 0*b + i = 0.
0
Let q(o) be the third derivative of o**6/780 - o**5/15 + 13*o**4/12 - 39*o**2. Determine t, given that q(t) = 0.
0, 13
Let y(r) be the third derivative of r**7/252 - r**6/24 + r**5/8 - 5*r**4/36 + 31*r**2. Factor y(h).
5*h*(h - 4)*(h - 1)**2/6
Let r**4 + 1/2*r**5 + 0*r**2 + 0 + 0*r + 1/2*r**3 = 0. Calculate r.
-1, 0
Let z(b) = 3*b**4 - 6*b**3 + 3*b**2 + 12*b + 6. Let u(a) = -a**4 + a**3 + a**2 - a - 1. Let x(n) = -6*u(n) - z(n). Suppose x(v) = 0. Calculate v.
-1, 0, 2
Let j(l) be the first derivative of 6/5*l**5 + 1 - 4/3*l**3 - 2*l + 3*l**2 - l**4 - 1/3*l**6. Factor j(y).
-2*(y - 1)**4*(y + 1)
Let y be (4/3)/((-2)/(-3)). Find j, given that 2*j - j**2 - j**y + 0*j**2 = 0.
0, 1
Find j such that 8/7*j**4 + 6/7*j**5 + 0*j + 0 - 2/7*j**3 - 4/7*j**2 = 0.
-1, 0, 2/3
Let m(r) = -r + 18. Let k be m(8). Let i be 1/k*75/30. Factor -1/4*x**2 + 0*x + 0 + i*x**4 + 0*x**3.
x**2*(x - 1)*(x + 1)/4
Let x be ((-3)/(-2))/((-1)/(-2)). Let z be (-1)/4*0 - (2 - 4). Find g such that 3 - 1 + 2*g**x - z*g - 6*g**2 + 4*g**2 = 0.
-1, 1
Suppose -3*a + 19 - 15 = -p, -4*a - 4*p + 32 = 0. Factor 1/4*o**4 - 1/2 + 3/4*o - 3/4*o**a + 1/4*o**2.
(o - 2)*(o - 1)**2*(o + 1)/4
Let h(i) be the second derivative of i**5/20 + i**2/2 + i. Let f be h(-1). Factor f*m - 4 + 6*m + 0*m**3 - 2*m**3.
-2*(m - 1)**2*(m + 2)
Suppose 0 = 2*b - 3*d - 9, 3*d + 5 = b - 1. Determine a so that -a**3 - a**3 - a**b = 0.
0
Solve -28*f**5 - 12*f + 6*f + 21*f**2 + 25*f**5 + 15*f**4 - 27*f**3 = 0.
0, 1, 2
Let b(i) = 8*i**3 + 26*i**2 - 14*i - 14. Let r(n) = 3*n**3 + 9*n**2 - 5*n - 5. Suppose 3*s + 27 = 69. Let t(z) = s*r(z) - 5*b(z). Factor t(u).
2*u**2*(u - 2)
Let r be (2/4)/((-63)/30). Let t = 4/7 + r. Suppose 0 + t*l**2 + 1/3*l**5 + 0*l + l**4 + l**3 = 0. Calculate l.
-1, 0
Let q(v) be the first derivative of 2/3*v + 2/3*v**3 + 4 + 1/6*v**4 + v**2. Determine l, given that q(l) = 0.
-1
Let f(l) be the third derivative of -l**7/1120 - l**6/240 - l**3/6 + 4*l**2. Let z(x) be the first derivative of f(x). Factor z(s).
-3*s**2*(s + 2)/4
Let g(f) be the first derivative of f**8/168 - 2*f**7/105 + f**6/60 + f**2 + 2. Let u(b) be the second derivative of g(b). Factor u(r).
2*r**3*(r - 1)**2
Let b(z) be the second derivative of z**6/360 + z**5/20 + 3*z**4/8 + 2*z**3/3 - 6*z. Let w(u) be the second derivative of b(u). Find f, given that w(f) = 0.
-3
Let b(g) be the second derivative of 0 + 1/27*g**3 + g + 0*g**2 + 1/54*g**4. Suppose b(s) = 0. Calculate s.
-1, 0
Suppose 3*s + 0*s = 2*r, 4*s + 4*r = 0. Let w(g) be the second derivative of -1/6*g**4 + s*g**2 - 2*g - 1/6*g**3 + 0. Factor w(q).
-q*(2*q + 1)
Let z(w) be the third derivative of w**5/180 + w**4/36 + w**3/18 - 8*w**2. Factor z(o).
(o + 1)**2/3
Let v(n) be the second derivative of n**4/30 + 2*n**3/3 + 5*n**2 + 27*n. Solve v(k) = 0.
-5
Let m be (-550)/(-420) + 2/(-12). Factor m + 1/7*a**3 + 6/7*a**2 + 12/7*a.
(a + 2)**3/7
Let x(j) = -j**2 + 5*j + 2. Let z be x(5). Let f be (-1)/(0 - -1) - 36/(-9). Factor 2/3*n**f - 4/3 - 8/3*n**z + 10/3*n.
2*(n - 2)*(n - 1)**2/3
Let n(q) be the first derivative of -5*q**4/4 - 6*q**3 - 6*q**2 + 8*q + 11. Suppose n(o) = 0. Calculate o.
-2, 2/5
Let g(c) be the second derivative of 1/6*c**3 + 0 + 0*c**2 - 5*c + 1/24*c**4. Factor g(l).
l*(l + 2)/2
Suppose -18*l = -21 - 33. Factor 0 - 2/5*z**l + 2/5*z - 2/5*z**4 + 2/5*z**2.
-2*z*(z - 1)*(z + 1)**2/5
Suppose -7*w + r = -2*w - 4, -3*w + 2*r + 8 = 0. Determine f, given that -2/9*f**2 + w + 4/9*f = 0.
0, 2
Let u = -1163 - -1166. Suppose 9/2*k**2 + 0 + 3/2*k**u + 3*k = 0. What is k?
-2, -1, 0
Factor -5*g + 3*g**2 - 2*g**2 - 5*g**2 - g**2.
-5*g*(g + 1)
Let u be 15/(-12) - 19/(-12). Solve 0 + 1/3*a**2 - 2/3*a**3 + u*a**4 + 0*a = 0.
0, 1
What is a in -2/7*a + 2/7*a**3 + 0 + 0*a**2 = 0?
-1, 0, 1
Let v(b) be the second derivative of b**7/231 + 2*b**6/165 - 3*b**5/110 - 4*b**4/33 - 4*b**3/33 - 2*b + 19. Determine o so that v(o) = 0.
-2, -1, 0, 2
Let w(m) be the third derivative of -m**5/360 - m**4/72 + 3*m**2. Factor w(y).
-y*(y + 2)/6
Let m(o) be the first derivative of 0*o**3 + 0*o**5 + 1/39*o**6 - 1/13*o**4 + 0*o + 3 + 1/13*o**2. Factor m(p).
2*p*(p - 1)**2*(p + 1)**2/13
Let f(r) be the first derivative of -4*r**5/5 + 4*r**4 - 20*r**3/3 + 4*r**2 - 17. What is a in f(a) = 0?
0, 1, 2
Suppose 2*f + 4*k - 3 = -k, 2*k - 6 = -2*f. Suppose 5*r**f - 6*r**3 - 2*r**2 + r**3 + 2*r - 3*r**4 + 3*r**3 = 0. What is r?
-1, 0, 1
Let a(r) = -4*r**4 - 5*r**3 + 7*r**2 + 5*r + 1. Let b(o) = -4*o**4 - 5*o**3 + 8*o**2 + 5*o + 1. Let m(i) = -5*a(i) + 4*b(i). Solve m(n) = 0 for n.
-1, -1/4, 1
Let c(m) = -m**3 + 18*m**2 - 16*m - 14. Let g be c(17). Suppose 2 + 1 + 3*p**g - 3*p - 1 - 3*p**2 + 1 = 0. What is p?
-1, 1
Let t be 3*(-5)/20*(-96)/27. Factor 2/3 - t*d**2 + 5/3*d**3 + 1/3*d.
(d - 1)**2*(5*d + 2)/3
Let c(v) = 12*v**3 + v**2 - 13*v + 5. Let o(k) = -6*k**3 + 6*k - 2. Let s(y) = 2*c(y) + 5*o(y). Factor s(b).
-2*b*(b - 1)*(3*b + 2)
Let t(d) be the first derivative of -4*d**3/15 + 2*d**2/5 - 9. Factor t(w).
-4*w*(w - 1)/5
Suppose 0*v + 12 = 4*v. Let -w**2 + 3*w**3 + 3*w**3 - w + 0*w**v - 4*w**3 = 0. Calculate w.
-1/2, 0, 1
Find b, given that 5*b - 22*b**3 + 12*b**3 - 3*b**5 + 8*b**5 = 0.
-1, 0, 1
Let l(z) = -4*z**4 + 6*z**3 - 10*z - 6. Let f(k) = -11*k**4 + 17*k**3 - k**2 - 29*k - 17. Let i(j) = -6*f(j) + 17*l(j). Factor i(t).
-2*t*(t - 2)*(t + 1)**2
Let w(j) be the first derivative of 2 - 1/6*j**3 - 1/8*j**2 + 0*j. Determine q so that w(q) = 0.
-1/2, 0
Let l(o) be the second derivative of -o**4/4 - o**3/2 + 3*o**2 - 10*o. Factor l(w).
-3*(w - 1)*(w + 2)
Let w = -15 + 21. Suppose -w*r = -4*r. Factor -2/3*f**3 + 0*f**2 + r + 1/3*f**5 + 1/3*f + 0*f**4.
f*(f - 1)**2*(f + 1)**2/3
Factor 5 + 8*y**2 - 16*y**2 + 3*y**2.
-5*(y - 1)*(y + 1)
Let s = -2 + 8. Suppose 3*g + 4*t - 22 = 0, g - 4*g - s = -3*t. Determine b, given that -2 - 1/2*b**g + 2*b = 0.
2
Let g(d) be the first derivative of -3/2*d**2 + d**3 - 3*d - 4 + 3/4*d**4. Find t such that g(t) = 0.
-1, 1
Solve 9/7 - 6/7*s + 1/7*s**2 = 0.
3
Let c(u) = -2*u**2 + 4*u - 2. Let l(t) = 2*t**2 - 4*t + 2. Let m(b) = -5*c(b) - 6*l(b). Solve m(h) = 0 for h.
1
Let n(j) be the third derivative of -2*j**2 + 0*j + 1/168*j**4 - 1/420*j**5 + 1/21*j**3 + 0. Solve n(b) = 0 for b.
-1, 2
Let g(w) = 3*w**2 + 8*w - 40. Let f(s) = s**2 - s - 1. Let x(d) = -4*f(d) + g(d). Factor x(v).
-(v - 6)**2
Suppose 6/5*s**2 + 12/5 - 18/5*s = 0. What is s?
1, 2
Let v(b) = b**2 - 4*b + 4. Let p be v(5). Factor 0*l + 0*l + 8 - l + p*l + 2*l**2.
2*(l + 2)**2
Let c(l) = 6*l + l**3 - l - 5*l**2 - 2*l**2 + 8. Let q be c(6). Factor o**5 + q*o**2 + 2*o**3 - o - 2*o**4 - 2*o**3.
o*(o - 1)**3*(o + 1)
Factor -72*q**2 - 36*q**3 - 6*q**4 - 1/3*q**5 + 0*q + 0.
-q**2*(q + 6)**3/3
Let u(y) be the third derivative of -y**5/42 + y**4/42 + 4*y**2. Factor u(j).
-2*j*(5*j - 2)/7
Let w(n) be the third derivative of 1/24*n**4 - 8*n**2 - 1/120*n**6 + 0 + 0*n - 1/120*n**5 + 1/420*n**7 + 0*n**3. Factor w(c).
c*(c - 2)*(c - 1)*(c + 1)/2
Solve -3/2*s**2 + 9/2 - 3*s = 0.
-3, 1
Factor 60*x**3 + 2*x - 18*x**3 - 18*x**2 - 58*x**4 + 20*x**4 + 12*x**5.
2*x*(x - 1)**3*(6*x - 1)
Let b be (-175)/(-10) + (-2)/(-4). Suppose -7 + 24*h - 5 - 51*h - b*h**2 - 3*h**3 = 0. What is h?
-4, -1
Suppose -3*u - 4*s = -38, -4*s - 10 = -5*u - 0. Let i = -5 + u. Solve -i - 3 + 0*j**2 + 6*j - 2*j**2 = 0.
1, 2
Let v(m) be the second derivative of -m**10/105840 + m**8/11760 - m**6/2520 - 7*m**4/12 + 5*m. Let i(x) be the third derivative of v(x). Factor i(o).
-2*o*(o - 1)**2*(o + 1)**2/7
Let h(i) = -i + 2. Let z be h(0). Let j be (-3)/z*(-4)/15. Solve 0 + 2/5*g**2 - 2/5*g**3 - 2/5*g**4 + j*g = 0 for g.
-1, 0, 1
Let x(m) be the second derivative of -3*m + 0 - 1/70*m**5 + 1/42*m**4 + 2/21*m**3 + 0*m**2. Find i, given that x(i) = 0.
-1, 0, 2
Let j(o) be the third derivative of -o**8/504 + 2*o**7/945 + o**6/180 - o**5/135 - 10*o**2. Find g, given that j(g) = 