). Factor g(j).
-2*j*(2*j - 1)/5
Let c = -56 + 58. Factor k + 2/3 - 1/3*k**3 + 0*k**c.
-(k - 2)*(k + 1)**2/3
Let u = -79/2 - -41. Let v(w) be the second derivative of 1/20*w**5 + u*w**2 + 5/12*w**4 + 7/6*w**3 + w + 0. Suppose v(z) = 0. What is z?
-3, -1
Let n = 8 - 5. Let k be 24/32*8/6. Let 1 - 4*l + k + 4*l**n - 2*l**4 + 0*l**3 = 0. Calculate l.
-1, 1
Determine g so that -4*g**2 + 4 + 2 + 10 - 4 - 8*g = 0.
-3, 1
Factor 3/4*g**4 - 3*g - 3/4*g**2 + 3*g**3 + 0.
3*g*(g - 1)*(g + 1)*(g + 4)/4
Let r(h) = h**5 - h**4 - h**2 + h + 1. Let z(s) = -10*s**5 - 10*s**4 - 20*s**3 - 2*s**2 - 6*s - 6. Let b(a) = 6*r(a) + z(a). Factor b(c).
-4*c**2*(c + 1)**2*(c + 2)
Suppose 0*i**4 - 504*i**2 + 1108 - 3*i**4 + 0*i**4 - 960*i + 428 - 69*i**3 = 0. What is i?
-8, 1
Let j(v) be the third derivative of v**8/28 - 13*v**7/70 + 3*v**6/8 - 7*v**5/20 + v**4/8 + 45*v**2. Suppose j(u) = 0. Calculate u.
0, 1/4, 1
Let g(z) = -2*z + 5. Let r be g(8). Let j = r - -15. Let -2*s**2 - 3 + j*s**2 + 2 - s**4 = 0. Calculate s.
-1, 1
Let q be 3/(-2)*8/(-9). Find z, given that 2/3*z**2 + 0 - q*z = 0.
0, 2
Let r(m) be the first derivative of -1/4*m**4 + 1/5*m**5 + 0*m**3 + 0*m**2 + 0*m + 2. Find i, given that r(i) = 0.
0, 1
Factor 5*b**4 + 360*b**2 + 1296 + 1080*b + 1/6*b**5 + 60*b**3.
(b + 6)**5/6
Let o(c) be the third derivative of 343*c**7/30 - 343*c**6/30 + 49*c**5/10 - 7*c**4/6 + c**3/6 - 8*c**2. Factor o(d).
(7*d - 1)**4
Factor 0 + 1/3*o + 1/6*o**2.
o*(o + 2)/6
Let a(g) = -g**2 - 6*g - 5. Let m = -5 + 8. Let p(b) = b**2 + 5*b + 4. Let y(h) = m*a(h) + 4*p(h). Solve y(c) = 0.
-1
Let j be 3/(1/(-2) - (-27)/18). Let n(m) be the second derivative of 0*m**j + 4/9*m**2 + 0 + 1/90*m**5 - 1/18*m**4 - 2*m. Factor n(v).
2*(v - 2)**2*(v + 1)/9
Determine b, given that -10*b**4 - 6*b + 12*b**2 - 9*b**3 - 4*b**4 + 15*b**2 + 2*b**4 = 0.
-2, 0, 1/4, 1
Suppose -2*d + d + 8 = 0. Suppose p = -2, 2*p + 11 = 5*r - d. Determine n, given that 1/4*n**r + 1/4*n**2 - 1/4*n - 1/4*n**4 + 0 = 0.
-1, 0, 1
Let s(g) be the third derivative of -g**6/180 + g**5/20 - g**4/6 - 2*g**3/3 + 3*g**2. Let d(y) be the first derivative of s(y). Factor d(h).
-2*(h - 2)*(h - 1)
Let i(y) be the second derivative of -y**10/15120 + y**8/1680 - y**6/360 + y**4/2 - 4*y. Let a(u) be the third derivative of i(u). Factor a(j).
-2*j*(j - 1)**2*(j + 1)**2
Let c(m) be the first derivative of 7*m**3 + 15*m**2/2 - 6*m + 7. Factor c(y).
3*(y + 1)*(7*y - 2)
Let u = 566/935 + -1/187. Let a(p) be the first derivative of -2/15*p**3 - 4/5*p + 4 - u*p**2. Let a(w) = 0. Calculate w.
-2, -1
Let h(d) be the third derivative of 0*d**3 + 1/120*d**6 + 0 - 1/60*d**5 + 0*d - 1/24*d**4 + 1/210*d**7 - 3*d**2. Factor h(t).
t*(t - 1)*(t + 1)**2
Suppose 49*b = 51*b - 8. Let q be 2 + 0 - 5/3. Solve 0*z**b + 0*z + q*z**5 + 0 - 1/3*z**3 + 0*z**2 = 0 for z.
-1, 0, 1
Let d be (-24)/81*6/(-8). Suppose 0 - d*a**2 + 2/9*a**4 - 2/9*a**3 + 2/9*a = 0. What is a?
-1, 0, 1
Let n(l) be the first derivative of 4*l**3/3 + 24*l**2 + 44*l + 4. Factor n(j).
4*(j + 1)*(j + 11)
Let u be 0/(-2)*28/(-84). Factor -2*c**4 - 3/5*c**5 - 12/5*c**3 - 6/5*c**2 - 1/5*c + u.
-c*(c + 1)**3*(3*c + 1)/5
Suppose -26 = -0*o - 2*o. Factor -10*d**2 + 4*d - d + o*d**2.
3*d*(d + 1)
Let y = -93 + 66. Let s be (4 - y/(-6))*0. Factor -4/7*g**2 + s + 2/7*g + 4/7*g**4 + 0*g**3 - 2/7*g**5.
-2*g*(g - 1)**3*(g + 1)/7
Suppose 0*y = -5*y. Let f(v) be the first derivative of 0*v**3 + 1/20*v**4 + 0*v - 1/25*v**5 + y*v**2 + 1. Factor f(o).
-o**3*(o - 1)/5
Let u = 0 - -2. Let p(w) be the second derivative of u*w + 0 + 1/21*w**3 + 0*w**4 - 1/70*w**5 + 0*w**2. Solve p(y) = 0 for y.
-1, 0, 1
Let u(x) be the third derivative of -x**5/150 + x**4/20 - 2*x**3/15 - x**2. Factor u(t).
-2*(t - 2)*(t - 1)/5
Let q be 9 + (-3)/((-108)/(-318)). Solve q*w**2 - w + 3/2 = 0 for w.
3
Factor 8/3*d + 1/3*d**3 - 5/3*d**2 - 4/3.
(d - 2)**2*(d - 1)/3
Let v = 101/5 + -697/35. Let p(s) = -s + 2. Let k be p(0). Solve 0*q - 2/7*q**k + v = 0 for q.
-1, 1
Suppose 20/3 + 4/3*f**2 + 8*f = 0. What is f?
-5, -1
Let v(r) be the first derivative of r**5/30 + r**4/6 + 3*r**2/2 + 4. Let x(o) be the second derivative of v(o). Factor x(d).
2*d*(d + 2)
Let u(g) be the first derivative of 0*g - 5/4*g**4 - 1/5*g**5 + 1 - 8/3*g**3 - 2*g**2. Find k, given that u(k) = 0.
-2, -1, 0
Factor -4/7 + 0*k - 8/7*k**3 + 12/7*k**2.
-4*(k - 1)**2*(2*k + 1)/7
Let s = -2 - -7. Suppose -5 = -s*r + 15. Factor -3*w**3 - w - 4*w**3 + r*w**3 + 3*w**2 + w**4.
w*(w - 1)**3
Let q(b) be the first derivative of 2*b**6/5 + 16*b**5/25 - 8*b**4/5 - 8*b**3/5 + 2*b**2 + 8*b/5 - 15. Solve q(m) = 0 for m.
-2, -1, -1/3, 1
Factor 8/9*x**2 + 10/3*x**4 - 32/9*x**3 + 0 + 0*x.
2*x**2*(3*x - 2)*(5*x - 2)/9
Let u(o) be the third derivative of -2*o**7/105 - o**6/30 + o**5/15 + o**4/6 - 18*o**2. Factor u(p).
-4*p*(p - 1)*(p + 1)**2
Let h(i) = i**2 + 9*i + 4. Let c be h(-9). Suppose y - 5 = 0, c*k + 4*y = -0*y + 24. Factor -2*v**4 + 4*v**2 - 2 + 1 - k.
-2*(v - 1)**2*(v + 1)**2
Let a be (-46)/(-3) - (-2)/3. Suppose 0 = -5*r - 2*g + 20, -g + a = 4*r + 2*g. Factor c**r - 2*c**3 + c**3 + 2*c**5 - c**5 - c**2.
c**2*(c - 1)*(c + 1)**2
Let f be 301/150 + 0 + -2. Let k(a) be the third derivative of 0*a**3 + 1/60*a**4 + 0 - a**2 + 0*a + f*a**5. Let k(j) = 0. Calculate j.
-1, 0
Let d(t) be the second derivative of -t**4 - 11*t**3/6 - t**2/2 + t. Let c(z) = 0 + 1 + 0 + z. Let w(b) = 3*c(b) - d(b). Let w(s) = 0. Calculate s.
-2/3, -1/2
Find s such that 1/6*s**5 - 1/3*s**3 + 1/6*s + 1/3*s**2 - 1/6*s**4 - 1/6 = 0.
-1, 1
Let b(x) = -x - 10. Let v be b(-11). Let i be v - ((-4)/10 + 1). Factor -i*p**2 - 2/5*p + 0.
-2*p*(p + 1)/5
Let h(r) be the first derivative of 1/4*r**4 + 0*r + 2/3*r**3 + 3 + 1/2*r**2. Factor h(s).
s*(s + 1)**2
Let v(a) be the second derivative of 1/3*a**3 + 0 - 1/60*a**5 - 1/360*a**6 + a + 0*a**2 - 1/24*a**4. Let n(i) be the second derivative of v(i). Factor n(f).
-(f + 1)**2
Suppose 5*f - 20 = -5. What is x in -2*x**4 + 2*x**f - 3*x**2 + 2*x**3 + 5*x**2 + 4*x**4 = 0?
-1, 0
Factor -76*n**2 + 146*n**2 - 75*n**2 - 25*n.
-5*n*(n + 5)
Let k be 163/(-245) + 4/6. Let b(h) be the third derivative of 0*h**4 + 0 + 2*h**2 + 0*h**6 + 0*h + 0*h**3 - 1/210*h**5 + k*h**7. Factor b(j).
2*j**2*(j - 1)*(j + 1)/7
Let a = 1075/462 + 1/154. Find x, given that 0 + 0*x + a*x**3 + 5/3*x**4 + 2/3*x**2 = 0.
-1, -2/5, 0
Let k(g) = g**3 - 3*g + 2. Let x be k(2). Factor 0*d + 1/4*d**2 + 1/4*d**x + 1/2*d**3 + 0.
d**2*(d + 1)**2/4
Let o(x) = x**2 + 6*x + 15. Let f(m) be the first derivative of -m - 2. Let r(v) = 6*f(v) + o(v). Factor r(l).
(l + 3)**2
Let s(u) = -13*u**4 + 9*u**3 - u**2 - 15*u + 2. Let n(p) = 25*p**4 - 18*p**3 + p**2 + 29*p - 4. Let h = 16 - 5. Let m(w) = h*s(w) + 6*n(w). Factor m(o).
(o - 1)**2*(o + 1)*(7*o - 2)
Suppose 0*a - 10 = -5*a. Solve -o**3 - 2*o**3 + o**5 - 3*o**4 - a*o**5 - o**2 = 0 for o.
-1, 0
Let g be 0 + -26*1/1. Let o = g + 29. Find l, given that -8/5*l**o - 6/5*l**2 + 2/5*l + 0 = 0.
-1, 0, 1/4
Let b(k) = -22*k**3 - 198*k**2 - 494*k - 386. Let c(j) = -2*j**3 - 18*j**2 - 45*j - 35. Let y(u) = -6*b(u) + 68*c(u). Factor y(s).
-4*(s + 1)*(s + 4)**2
Let o(k) be the second derivative of -k**6/60 - k**5/42 + k**4/42 - 5*k**2/2 - 5*k. Let x(h) be the first derivative of o(h). Suppose x(q) = 0. Calculate q.
-1, 0, 2/7
Let g(o) = -o**2 - 21*o + 16. Let p(k) = -20*k + 15. Let n(v) = 5*g(v) - 6*p(v). Solve n(u) = 0.
1, 2
Determine z so that 0 + 0*z**2 + 0*z**3 - 2/3*z**4 + 0*z - 1/3*z**5 = 0.
-2, 0
Let m = -4 + 6. Find v, given that 0*v**3 - v**m + 0*v + 1/2 + 1/2*v**4 = 0.
-1, 1
Let o(u) be the second derivative of u**7/14 - 3*u**6/5 + 33*u**5/20 - u**4/2 - 6*u**3 + 12*u**2 - 11*u. Factor o(x).
3*(x - 2)**3*(x - 1)*(x + 1)
Let j(l) = 6*l + 13. Let z(b) = -b - 1. Let i(q) = j(q) + 5*z(q). Let r be i(-6). Factor 3*v**r + 7*v**3 + 2*v - 8*v - 4*v**3.
3*v*(v - 1)*(v + 2)
Let b = -111737/1464 + -5/488. Let z = 79 + b. Let 2/3*c**4 + 4*c**2 + 2/3 - 8/3*c - z*c**3 = 0. Calculate c.
1
Solve 4*l**5 + l**2 + 16*l**4 - 16*l**3 + 21*l**3 + 15*l**3 + 7*l**2 = 0 for l.
-2, -1, 0
Let p(d) be the first derivative of d**4/12 + 2*d**3/9 + d**2/6 - 6. Factor p(n).
n*(n + 1)**2/3
Let a(f) = -f - 8. Let m be a(-10). What is x in -m - 10*x + 15*x - 2*x**2 - x = 0?
1
Let f(p) be the first derivative of p**6/12 + 3*p*