/10 + s**4/3 + 5*s. Determine o, given that d(o) = 0.
0, 2
Factor l**3 + 18*l**2 + 2*l - 8 + 12*l**2 - 25*l**2.
(l - 1)*(l + 2)*(l + 4)
Let b(s) = -5*s**3 + 4*s**2 - 3. Let z(x) = 6*x**3 - 4*x**2 + 4. Let p(g) = 4*b(g) + 3*z(g). Factor p(a).
-2*a**2*(a - 2)
Let q(b) be the second derivative of 2*b**7/63 + 4*b**6/9 + 8*b**5/3 + 80*b**4/9 + 160*b**3/9 + 64*b**2/3 - 8*b. Suppose q(j) = 0. What is j?
-2
Let j(o) be the third derivative of o**8/784 - o**6/140 + o**4/56 - 3*o**2 + 4. Factor j(z).
3*z*(z - 1)**2*(z + 1)**2/7
Let q(u) be the third derivative of u**8/21 + 2*u**7/15 + u**6/15 - u**5/15 - 32*u**2. Factor q(b).
4*b**2*(b + 1)**2*(4*b - 1)
Let x = -34 + 74. Suppose -i - 3*i = -x. Factor 4*t + i - 10 - 2*t**2.
-2*t*(t - 2)
Suppose -5*f = -4*h - 55, -4*f - 3 - 1 = 0. Let i be (-1)/(-2)*(-80)/h. Let 2/3*w**2 + i + 8/3*w = 0. Calculate w.
-2
Let g(a) be the second derivative of 49*a**6/135 + 7*a**5/5 + 109*a**4/54 + 4*a**3/3 + 4*a**2/9 + 5*a. Suppose g(l) = 0. What is l?
-1, -2/7
Solve 2*n**4 + 8/3*n**3 - 3*n + 0 - 2*n**2 + 1/3*n**5 = 0 for n.
-3, -1, 0, 1
Factor -j**4 + 6*j**2 - 4*j**2 - j**4.
-2*j**2*(j - 1)*(j + 1)
Let a(p) be the first derivative of p**4/2 - 2*p**3/3 + 3. Factor a(x).
2*x**2*(x - 1)
Let s(c) be the second derivative of 1/66*c**4 + 0 + 0*c**2 - 1/33*c**3 - 7*c. Factor s(h).
2*h*(h - 1)/11
Let v(f) = f**3 - 5*f**2 - 4*f + 22. Let w be v(5). Determine n so that -2/7*n**4 + 0 - 2/7*n**5 + 2/7*n**3 + 2/7*n**w + 0*n = 0.
-1, 0, 1
Let r(q) = 3*q**2 + 59*q + 123. Let c(m) = m. Let h(s) = 5*s**2 + 93*s + 185. Let w(u) = 4*c(u) - h(u). Let a(k) = 7*r(k) + 5*w(k). Find b, given that a(b) = 0.
-4
Factor 1/2*p**2 + 1/2*p**3 - 1/2 - 1/2*p.
(p - 1)*(p + 1)**2/2
Factor -3*b**2 - 3*b**3 + 23*b**3 - 24*b**4 - b**2.
-4*b**2*(2*b - 1)*(3*b - 1)
Suppose 3*g = 2*d + 8, 3*g + 15 - 37 = -5*d. Factor -4/9 + 2/9*p**3 - 8/9*p**d + 10/9*p.
2*(p - 2)*(p - 1)**2/9
Factor -8/17*q**2 - 2/17*q**5 - 16/17*q**3 + 0 - 10/17*q**4 + 0*q.
-2*q**2*(q + 1)*(q + 2)**2/17
Let s = -111/10 + 63/5. Factor -c - 2*c**2 + c**3 + s*c**4 + 1/2.
(c - 1)*(c + 1)**2*(3*c - 1)/2
Solve -4/5*p + 4/5*p**2 - 24/5 = 0.
-2, 3
Factor -6/7*g + 2/7*g**3 - 4/7*g**2 + 0.
2*g*(g - 3)*(g + 1)/7
Let m = 202 + -199. Determine y so that 2/5*y**4 + 16/5*y**2 + 2*y**m + 0 + 8/5*y = 0.
-2, -1, 0
Let f be ((-30)/4)/(21/(-28)). Suppose 0 = -3*x + f + 23. Find g, given that -x + 9 - 8*g**2 - 2*g**3 + 2*g**4 - 8*g + g + g**5 = 0.
-1, 2
Let u(v) = -v**3 + 4*v + 3. Let b be u(-2). Suppose -3*g + c + 4*c = 1, 3*c + b = 3*g. Solve -2/9*y**5 + 0 + 0*y**2 - 2/9*y**g + 0*y + 4/9*y**4 = 0.
0, 1
Let v be ((-1)/(-2))/((-2)/(-16)). Let z(w) = -w**3 - 5*w**2 + 4. Let q be z(-5). Factor 2 + 2*k**2 - 2 - k**v - k**q.
-2*k**2*(k - 1)*(k + 1)
Let s be (-4)/(-14) - (-6)/(-21). Suppose s = m - 4*m. Factor m + 4/3*c + 2*c**2.
2*c*(3*c + 2)/3
Let c = 14 + -13. Suppose -5*o - c + 11 = 0. Factor 9/2*a**o + 1/2 - 3*a.
(3*a - 1)**2/2
Let n = -618 + 1855/3. Suppose 2*h = 3*g - 0*g + 4, 8 = -g + 4*h. Suppose 1/6*l**2 - n*l + g = 0. Calculate l.
0, 2
Factor 9*z + 4*z + 45 + 5*z**2 + 17*z.
5*(z + 3)**2
Let u(m) be the first derivative of m**6/60 - m**4/4 - 2*m**3/3 + m**2 + 3. Let w(a) be the second derivative of u(a). Find v such that w(v) = 0.
-1, 2
Factor 0*j**2 - 1/3*j**3 - 2/3 + j.
-(j - 1)**2*(j + 2)/3
Let x(m) = -2*m**3 + 2*m**2 - 3*m + 3. Let v(j) = 5*j**3 - 6*j**2 + 8*j - 8. Let n(u) = 3*v(u) + 8*x(u). Factor n(b).
-b**2*(b + 2)
Find s, given that 25*s**4 - 29*s**4 - s**2 + 5*s**3 + 5*s**2 + 11*s**3 - 16*s**5 = 0.
-1, -1/4, 0, 1
Let o(a) = a - 1 + 3*a**2 - 2*a + 0*a**2 - 1. Let i(x) be the third derivative of -x**5/5 + x**4/8 + 3*x**3/2 + x**2. Let k(m) = -4*i(m) - 15*o(m). Factor k(c).
3*(c - 1)*(c + 2)
Let r(g) be the second derivative of g**6/40 - g**4/8 + g**2 - 4*g. Let d(p) be the first derivative of r(p). Factor d(h).
3*h*(h - 1)*(h + 1)
Let k(j) be the second derivative of 0*j**2 + 1/21*j**4 + 0 + 1/14*j**5 + 0*j**3 + 2*j. Suppose k(f) = 0. What is f?
-2/5, 0
Let f(k) = 3*k**3 - 20*k - 17. Let r(z) = -6 - 3 - z**3 + 15 + 7*z. Let s(o) = -6*f(o) - 17*r(o). Factor s(y).
-y*(y - 1)*(y + 1)
Let o be 3/(-6)*24/(-60). Find j such that 1/5*j**3 + 0 + 0*j**2 + 0*j + o*j**4 = 0.
-1, 0
Let g(f) be the third derivative of 1/18*f**3 + 0*f**4 - 4*f**2 + 0*f + 0 - 1/180*f**5. What is i in g(i) = 0?
-1, 1
Factor 2/11*n + 0 - 4/11*n**2 + 2/11*n**3.
2*n*(n - 1)**2/11
Factor 17*t**2 + 2 + 1 + 7*t + 1 - 14*t**2.
(t + 1)*(3*t + 4)
Let s = -1/156 + 35/52. Let x = 152 + -149. Find j such that 1/3*j**2 + s*j**x + 0 + 0*j = 0.
-1/2, 0
Let s(n) = -5*n**3 - 10*n**2 + 3*n + 12. Let y(x) = 10*x**3 + 20*x**2 - 5*x - 25. Let w(k) = -5*s(k) - 2*y(k). Factor w(h).
5*(h - 1)*(h + 1)*(h + 2)
Let c(b) be the first derivative of b**6/120 + b**3/3 - 4. Let p(q) be the third derivative of c(q). Factor p(r).
3*r**2
Let k(l) be the second derivative of -4*l + 0 + 1/10*l**4 + 12/5*l**2 + 9/100*l**5 - 1/50*l**6 - 6/5*l**3. What is u in k(u) = 0?
-2, 1, 2
Let s = -137/2 + 70. Suppose 2/3*m**4 + s*m - 11/6*m**2 + 0*m**3 - 1/3 = 0. Calculate m.
-2, 1/2, 1
Let o(z) be the third derivative of z**7/105 - z**6/15 + z**5/5 - z**4/3 + z**3/3 + 3*z**2. Solve o(u) = 0.
1
Let b(c) = c**3 + c. Let x(g) = g**3 + 8*g**2 + 7*g - 6. Let s(j) = 5*b(j) - x(j). Let l(m) = -m**3 + 1. Let i(q) = 2*l(q) - s(q). Let i(u) = 0. What is u?
-2/3, 1
Let b be (-3 + (-12)/(-8))*2/(-1). Factor 2/7 - 2/7*l + 2/7*l**b - 2/7*l**2.
2*(l - 1)**2*(l + 1)/7
Let v = -30/11 - -112/33. Factor -4/3*d + v + 2/3*d**2.
2*(d - 1)**2/3
Let a be -4 - -3 - 3 - -64. Let h be (-1)/(-5) - (-28)/a. Find g, given that 0 - h*g**2 + 1/3*g**3 + 1/3*g = 0.
0, 1
Let b(x) be the second derivative of -32*x**7/21 + 48*x**6/5 - 97*x**5/5 + 12*x**4 - 8*x**3/3 - 6*x + 4. Determine k, given that b(k) = 0.
0, 1/4, 2
Let w = -14 - -10. Let r(d) = -2*d**2 + 2*d - 4. Let l(g) = -g**2. Let o(p) = w*l(p) + r(p). Suppose o(b) = 0. Calculate b.
-2, 1
Let m(k) = -k**3 + 4*k**2 + k - 4. Let g(d) = -3*d**3 + 8*d**2 + 3*d - 8. Let f(h) = -3*g(h) + 5*m(h). Let f(u) = 0. Calculate u.
-1, 1
Let w = 133/65 - 11/13. Solve w*x**2 - 6/5 - 2/5*x**3 + 2/5*x = 0 for x.
-1, 1, 3
Let f(m) be the first derivative of 12*m**3 - 7/2*m**4 + 16/7*m - 60/7*m**2 + 2. Let f(i) = 0. Calculate i.
2/7, 2
Let i be (-5 - -1)*(-10)/4. Let v be 13/15 + (-2)/i. Factor -2/3*g**2 + 0 - v*g**3 + 0*g + 2/3*g**5 + 2/3*g**4.
2*g**2*(g - 1)*(g + 1)**2/3
Suppose 0*j - 5*j - s - 4 = 0, 0 = -s - 4. Let p(q) be the first derivative of 0*q + 2/25*q**5 + 1 - 1/10*q**4 + 0*q**3 + j*q**2. Factor p(d).
2*d**3*(d - 1)/5
Suppose 327*n - 317*n - 40 = 0. Factor 1/4 + 1/4*a**n + 0*a - 1/2*a**2 + 0*a**3.
(a - 1)**2*(a + 1)**2/4
Let o(f) be the second derivative of 7*f**6/6 - f**5/2 - 35*f**4/4 + 50*f**3/3 - 10*f**2 - 7*f. Factor o(n).
5*(n - 1)**2*(n + 2)*(7*n - 2)
Factor -23*j**3 - 2*j + 13*j**3 + 9*j**3 - 3*j**2.
-j*(j + 1)*(j + 2)
Let m(k) be the first derivative of -k**3/6 - k**2 - 2*k - 22. Factor m(x).
-(x + 2)**2/2
Let i(w) = -1. Let u(a) = 2*a**2 + 14*a + 18. Let k(c) = -6*i(c) - u(c). Determine t so that k(t) = 0.
-6, -1
Let s(q) = q**2 - 6. Let f be (-3)/((-6)/(-2) + -6). Let u(m) = -1. Let r(y) = f*s(y) - 5*u(y). Factor r(n).
(n - 1)*(n + 1)
Let u(r) be the first derivative of 7/2*r**4 + 3 + 2*r**2 + 0*r - 6*r**3. Factor u(s).
2*s*(s - 1)*(7*s - 2)
Let j(f) be the first derivative of f**8/168 + 2*f**7/105 + f**6/60 + f**2 + 1. Let b(y) be the second derivative of j(y). Determine n so that b(n) = 0.
-1, 0
Solve 2/7*b**3 + 4/7*b**4 - 3/7*b**5 + 1/7*b - 4/7*b**2 + 0 = 0 for b.
-1, 0, 1/3, 1
Suppose 5 = -x + 3*b - 6*b, 0 = 5*x + 3*b - 35. Let p be 20/12*8/x. Let 2/3*y + p*y**4 - 4/3*y**2 + 0 + 0*y**3 - 2/3*y**5 = 0. What is y?
-1, 0, 1
Let h be 1*6 + (8 - 10). Let r be 1/(2/(-4)) + h. Factor -1/6*v**4 + 1/6*v**r + 1/6*v - 1/6*v**3 + 0.
-v*(v - 1)*(v + 1)**2/6
Let i(v) be the second derivative of 0*v**2 - 3/10*v**5 - 1/21*v**7 - 1/5*v**6 + 0 + 0*v**3 - 1/6*v**4 + v. Factor i(y).
-2*y**2*(y + 1)**3
Factor 0*m - 2/9*m**3 + 10/9*m**2 + 0.
-2*m**2*(m - 5)/9
Let u(d) = 2*d**2 + 36*d. Let w be u(-18). Let v(p) be the second derivative of 1/10*p**5 + 0*p**2 + 0*p**4 + w + 2*p - 1/3*p**3. Factor v(x).
2*x*(x - 1)*(x + 1)
Determine y so that -2*y**3 - 4*y - y**3 + y**3 - 3*y**