**4 + 0*b - 1/240*b**5 + 0. Factor s(d).
-(d + 2)**2/4
Let q = -4 - -6. What is g in 2*g**2 - 14*g**4 + q - 4*g**5 - 2 - 4*g**3 - 4*g**5 = 0?
-1, 0, 1/4
Let c(j) be the third derivative of -1/180*j**5 - 1/2*j**3 + 1/12*j**4 - 6*j**2 + 0*j + 0. Solve c(a) = 0 for a.
3
Let g = -29 - -31. Suppose 3*u - f = -g*f + 11, 5*u - 2*f = 0. Factor 0 - 1/3*b**u - 1/3*b.
-b*(b + 1)/3
Let p = -267 - -535/2. Factor y**3 - 1/2*y**5 - 1/2 - 1/2*y - p*y**4 + y**2.
-(y - 1)**2*(y + 1)**3/2
Let u(k) be the first derivative of -k**4/32 + k**3/8 - k**2/8 + 6. Factor u(i).
-i*(i - 2)*(i - 1)/8
Let q = -1 - -1. Suppose -15 = -3*m, 5*p + m + 3*m - 20 = q. Solve -r + 2*r**2 + p*r - r**2 = 0.
0, 1
Let x = -67 + 67. Factor 2/9*l**2 + x + 0*l.
2*l**2/9
Let b(y) be the first derivative of 5*y**3/3 - 10*y**2 - 60*y + 5. Solve b(x) = 0.
-2, 6
Let t(b) be the third derivative of -b**8/2184 - b**7/1365 + b**6/390 + 7*b**2. Solve t(q) = 0 for q.
-2, 0, 1
Factor -18*p + 4*p**3 + p**2 - 6*p**2 + 33*p - 13*p - p**4.
-p*(p - 2)*(p - 1)**2
Factor -3/2*s**2 + 0*s + 0 + 3/2*s**4 + 0*s**3.
3*s**2*(s - 1)*(s + 1)/2
Let y be (-6)/9 - (-144)/135. Let d(v) be the first derivative of -2/3*v**3 + 0*v**4 - 1/2*v**2 + y*v**5 + 1/6*v**6 + 1 + 0*v. Let d(b) = 0. What is b?
-1, 0, 1
Factor 1/5*b**3 + 0 + 2/5*b**2 + 1/5*b.
b*(b + 1)**2/5
Let b(n) = 5*n**3 + 11*n**2 - 5*n - 11. Let l(t) = -5*t**3 - 12*t**2 + 5*t + 12. Let m(k) = 7*b(k) + 6*l(k). Factor m(o).
5*(o - 1)*(o + 1)**2
Find g, given that 13*g**2 - 5*g**3 + 9*g**2 - 27*g**2 = 0.
-1, 0
Let v(w) be the first derivative of -2*w**3/33 + 3*w**2/11 - 4*w/11 + 48. Factor v(f).
-2*(f - 2)*(f - 1)/11
Let u(m) be the third derivative of 5*m**8/336 - m**7/14 + m**6/24 + m**5/4 - 5*m**4/12 - 5*m**2. Factor u(z).
5*z*(z - 2)*(z - 1)**2*(z + 1)
Let o(r) be the second derivative of -4*r + r**2 + 1/6*r**4 + 2/3*r**3 + 0. Determine a so that o(a) = 0.
-1
Let w = -17 + 19. Solve 0*n + 0*n**w + 2/9*n**3 + 0 = 0 for n.
0
Let h(f) be the first derivative of f**3/21 + f**2/14 + 13. Factor h(t).
t*(t + 1)/7
Let n = 27 + -23. Factor 6*l**3 + 5*l**2 - l**2 + 12*l**n - 10*l**4.
2*l**2*(l + 1)*(l + 2)
Let z = 5/6 - 1/3. Factor -1/2*n**2 + 1/2 + z*n**3 - 1/2*n.
(n - 1)**2*(n + 1)/2
Suppose -125 = s - 6*s. Factor 28*i**2 - 14*i**3 + 4*i + s*i**5 + 57*i**3 + 70*i**4 + 26*i**3.
i*(i + 1)**2*(5*i + 2)**2
Factor 2 + 0*q**5 + 7*q**3 - 3*q**3 - 5*q**4 + 2*q**5 + 4*q**2 - 6*q - q**4.
2*(q - 1)**4*(q + 1)
Let n(s) = s**2 + s - 1. Let g(a) = 18*a**2 + 17*a - 12. Let w(d) = 4*g(d) - 44*n(d). Factor w(u).
4*(u + 1)*(7*u - 1)
Let o(i) = 11*i**3 + i**2. Let n(c) = c**3 + c**2. Let g(a) = 6*n(a) - o(a). Factor g(z).
-5*z**2*(z - 1)
Let s = 264 - 1846/7. Suppose -2/7*h**3 + 2/7*h + 0 - 2/7*h**2 + s*h**4 = 0. Calculate h.
-1, 0, 1
Let x(h) be the third derivative of -h**5/150 - h**4/10 - 3*h**3/5 - 7*h**2. Factor x(r).
-2*(r + 3)**2/5
Let v(q) = q**2 + 1. Let h(k) = k - 7. Let g be h(5). Let l(x) = -x**3 - 2*x**2 + 3*x. Let c(y) = g*l(y) - 4*v(y). Factor c(f).
2*(f - 2)*(f + 1)**2
Let v(m) be the second derivative of m**6/10 - 3*m**5/5 + 5*m**4/4 - m**3 - 25*m. Factor v(q).
3*q*(q - 2)*(q - 1)**2
Suppose -2*m = u + 5, -7*u = -3*u - 3*m + 9. Let d = 5 + u. Factor 8*s + 2 + 2*s**d + 0*s**2 + 1 + 5.
2*(s + 2)**2
Suppose -4 - 5*f + 12 - 3*f - 8*f**2 + 10*f**2 = 0. What is f?
2
Factor -2*r**3 - r**2 + 2*r**4 + 2*r**5 + 0*r**4 - r**2.
2*r**2*(r - 1)*(r + 1)**2
Suppose 4*t = 3*w - 6*w + 3, -3 = -2*t - w. Let y(i) be the first derivative of 6/5*i + 9/10*i**2 - 2 + 1/5*i**t. Let y(j) = 0. What is j?
-2, -1
Let s(t) = 12*t**2 - 22*t + 14. Let m(b) = 4*b**2 - 7*b + 5. Let c(n) = 14*m(n) - 5*s(n). Factor c(i).
-4*i*(i - 3)
Suppose -10*f - 7*f = -2*f. Factor 1/4*o**3 + 1/2*o**2 + 1/4*o + f.
o*(o + 1)**2/4
Let i(g) be the second derivative of -g - 1/10*g**2 + 0*g**3 + 1/60*g**4 + 0. What is x in i(x) = 0?
-1, 1
Factor -2/3*x + 2/3*x**3 - 8/3 + 8/3*x**2.
2*(x - 1)*(x + 1)*(x + 4)/3
Let w(f) be the second derivative of 1/135*f**6 - 1/27*f**4 + 1/189*f**7 - 2*f + 0 - 1/45*f**5 + 1/27*f**3 + 1/9*f**2. Determine o, given that w(o) = 0.
-1, 1
Let d(q) be the second derivative of -5*q**7/21 - 4*q**6/15 + q**5/10 - 6*q. Determine x, given that d(x) = 0.
-1, 0, 1/5
Let d be (-5)/(30/(-9))*4/30. Find f such that -2/5*f + 0 - d*f**2 = 0.
-2, 0
Suppose -5*n + 4 = m, -5*m = -n - 1 + 7. Let f be (-3)/(-60)*4*n. Find d, given that 0 + 1/5*d**2 - 1/5*d**5 - f*d**4 + 1/5*d**3 + 0*d = 0.
-1, 0, 1
Let k(j) be the third derivative of -j**5/15 + j**4/2 - 4*j**3/3 - 2*j**2. Factor k(c).
-4*(c - 2)*(c - 1)
Let c(x) be the second derivative of -3*x**5/40 - x**4/24 + x**3/6 + 3*x. Factor c(d).
-d*(d + 1)*(3*d - 2)/2
Let d(s) be the first derivative of s**6/1260 - s**5/140 + s**4/42 + s**3 + 5. Let y(g) be the third derivative of d(g). Factor y(o).
2*(o - 2)*(o - 1)/7
Let y(n) be the second derivative of n**6/30 + n**4/12 - n**2/2 + 3*n. Let u(h) = 9*h**4 - 3. Let q(l) = u(l) - 6*y(l). Factor q(k).
3*(k - 1)**2*(k + 1)**2
Let o(f) = 6*f**2 - 50*f**3 - f + 51*f**3 + 0*f - 6. Let y be o(-6). Factor -1/2*x**3 + y + 0*x**2 + 1/2*x.
-x*(x - 1)*(x + 1)/2
Let c(a) be the third derivative of a**5/180 - 3*a**2. Factor c(z).
z**2/3
Let c be (((-8)/10)/(-2))/((-434)/(-3410)). Factor 34/7*q**3 + 6*q**2 + 4/7 + c*q + 10/7*q**4.
2*(q + 1)**3*(5*q + 2)/7
Let r(d) be the second derivative of -d**5/4 - 35*d**4/36 + 5*d**3 - 20*d**2/3 + 12*d. Factor r(j).
-5*(j - 1)*(j + 4)*(3*j - 2)/3
Suppose -c - c = 12. Let x = c - -8. Solve -2*y**2 + 4*y**2 + y**2 + x - 4*y**2 + y = 0.
-1, 2
Factor -19*o - 20*o**2 + 51*o + 10*o**4 - 14*o**2 - 8 + 4*o**2 - 4*o**3.
2*(o - 1)**2*(o + 2)*(5*o - 2)
Let n(p) = p**3 + 7*p**2 + 14*p + 10. Let j be n(-4). Suppose 4*d - 9 = 3. Determine z so that 1/2*z**d + 0 + 0*z - 1/2*z**j = 0.
0, 1
Factor -95*c + 16*c**2 - c**2 - c + 36.
3*(c - 6)*(5*c - 2)
Factor -250/7 + 150/7*o - 30/7*o**2 + 2/7*o**3.
2*(o - 5)**3/7
Let -1/6*s**2 + 0 - 1/6*s**3 + 0*s = 0. What is s?
-1, 0
Suppose -3*k**2 + 7*k**2 - 3 - 10*k + k - 2*k = 0. What is k?
-1/4, 3
Find x such that -8/7*x + 4/7 + 4/7*x**2 = 0.
1
Let c(m) = -21*m**3 - 48*m**2 + 27. Let y(v) = -3*v**3 - 7*v**2 + 4. Let i(w) = -4*c(w) + 27*y(w). Solve i(p) = 0 for p.
-1, 0
Let v(u) be the third derivative of -u**6/780 - u**5/390 + u**4/78 + 5*u**2. Solve v(a) = 0.
-2, 0, 1
Suppose 55 - 50 = 5*b. Let o(f) be the first derivative of 0*f**4 + b - 1/2*f**2 + 0*f - 1/2*f**3 + 1/10*f**5. Let o(t) = 0. Calculate t.
-1, 0, 2
Suppose -2/13*t**3 + 2/13*t - 4/13 + 4/13*t**2 = 0. What is t?
-1, 1, 2
Let l(j) = -j**3 - 7*j**2 - 35*j - 35. Let m(k) = -2*k**3 - 15*k**2 - 69*k - 69. Let u(c) = 5*l(c) - 3*m(c). Factor u(y).
(y + 2)*(y + 4)**2
Let 1/2*w - 1/2*w**3 + 0 + 0*w**2 = 0. What is w?
-1, 0, 1
Let o be (-58)/12 - 65/(-13). Let g(p) be the first derivative of 2/9*p**3 + 2/3*p**2 - o*p**4 + 3 + 0*p. Factor g(v).
-2*v*(v - 2)*(v + 1)/3
Let l = 13 - 7. Factor -l*z**2 + 16*z**2 - 12*z**2 - z**3.
-z**2*(z + 2)
Determine d, given that -4/3*d - 2/3*d**2 + 2 = 0.
-3, 1
Let p(g) be the first derivative of -1 + 0*g + 4/7*g**2 + 25/14*g**4 + 40/21*g**3. Factor p(r).
2*r*(5*r + 2)**2/7
Let q(v) be the first derivative of -3*v**4/20 - 3*v**3/5 - 3*v**2/5 - 7. Factor q(g).
-3*g*(g + 1)*(g + 2)/5
Let n(v) = v**2 - 8*v - 14. Let p be n(9). Let a = -5 - p. Let 0*z**2 + 1/3*z**5 + 0*z**4 - 2/3*z**3 + 1/3*z + a = 0. Calculate z.
-1, 0, 1
Let u = -4/3 - -34/21. Let g = 8/29 + 2/203. Suppose u*z - 6/7*z**2 + 6/7*z**3 - g*z**4 + 0 = 0. Calculate z.
0, 1
Solve 10*y**3 + 0 - 5*y**4 - 10*y + 0*y**3 - 15 + 20*y**2 = 0.
-1, 1, 3
Factor 0*k**2 - 3*k**2 - 43*k**4 - 3*k**3 + 40*k**4 - 3*k**3.
-3*k**2*(k + 1)**2
Let s be (-75)/45*12/(-10). Find w, given that 8/9*w**s + 10/9*w + 2/9 = 0.
-1, -1/4
Factor 51*z - 2*z**2 - 97*z + 48*z.
-2*z*(z - 1)
Factor 4/9 - 2/9*a**2 + 2/9*a.
-2*(a - 2)*(a + 1)/9
Let y(x) = -x**3 + 5*x**2 + 2. Let k be y(5). Let 0 + 0*p**k + 2/3*p**3 + 0*p = 0. What is p?
0
Suppose -3*h + 54 = -4*j - 63, 5*h = -3*j - 66. Let p be (-123)/j*1 - 3. Factor 4/9 - p*g**2 + 10/9*g.
-2*(g - 1)*(7*g + 2)/9
Let h(l) be the second derivative of -9*l**5/140 - l**4/14 + 2*l + 14. Determine q, given that h(q) = 0.
-2/3, 0
Let q be (2 - -2)/2 + 1. Let h = q + -2. Let -n**2 - h - 4*n - n + 3*n = 0. Calculate n.
-1
Let n =