 the first derivative of 2/5*a**5 - 2*a**3 - 5*a**2 - 3 + 1/2*a**j - 4*a. Factor w(g).
2*(g - 2)*(g + 1)**3
Let h = -10 + 15. Determine i so that -3 + 3*i**4 - 10*i**2 - 6*i**3 + h + 5*i**4 + 0 + 6*i = 0.
-1, -1/4, 1
Let p(v) be the first derivative of -v**6/10 + 6*v**5/25 - 2*v**3/5 + 3*v**2/10 + 10. Determine y, given that p(y) = 0.
-1, 0, 1
Factor 2*o**2 - 20*o**3 + 29*o**3 - 4*o**2.
o**2*(9*o - 2)
Factor -7 - 20*b - 8 - 4*b**2 - b**2.
-5*(b + 1)*(b + 3)
Let l be (-21)/(-2)*(-6)/9. Let i(g) = g**2 + 8*g + 7. Let o be i(l). Let 2/3*x**4 - 2/3*x**2 + o + 0*x**3 + 0*x = 0. Calculate x.
-1, 0, 1
Let x(k) be the third derivative of -k**10/75600 - k**9/15120 + k**5/20 + k**2. Let f(l) be the third derivative of x(l). Solve f(o) = 0.
-2, 0
Let d = -5 - -8. Find f, given that 4/5*f**d + 2/5*f**4 + 2/5 - 4/5*f**2 - 2/5*f**5 - 2/5*f = 0.
-1, 1
Let 1/5*l + 0 - 1/5*l**2 = 0. What is l?
0, 1
Determine w so that 2/15*w**2 + 4/15 - 2/5*w = 0.
1, 2
Let g(w) = -63*w**3 - 172*w**2 - 120*w - 23. Let s(m) = -64*m**3 - 171*m**2 - 120*m - 24. Let k(j) = 4*g(j) - 3*s(j). Determine c, given that k(c) = 0.
-2, -2/3, -1/4
Let i = 8 - -8. Let n = i + -11. Let c(x) = -x**4 - x**3 + x**2 - 1. Let q(l) = -3*l**5 - 8*l**4 - 2*l**3 + 8*l**2 - 5. Let m(z) = n*c(z) - q(z). Factor m(v).
3*v**2*(v - 1)*(v + 1)**2
Let 0 - 12/5*j**3 + 3*j**2 - 6/5*j + 3/5*j**4 = 0. What is j?
0, 1, 2
Let f(i) be the third derivative of -i**6/60 - i**5/30 + 2*i**4/3 + 4*i**3 - 12*i**2. Factor f(g).
-2*(g - 3)*(g + 2)**2
Let d(w) be the third derivative of -w**10/90720 - w**9/45360 - w**4/24 + 2*w**2. Let a(o) be the second derivative of d(o). Determine z so that a(z) = 0.
-1, 0
Let x(i) be the second derivative of 1/30*i**4 - 1/50*i**5 - 1/5*i**2 + 0 + 1/15*i**3 - 2*i. Solve x(m) = 0 for m.
-1, 1
Suppose -t - 3*t = -8. Let b = 5 - t. Factor 11*d**3 - 15*d**3 + 3 - 2*d**4 - 2*d**2 - b.
-2*d**2*(d + 1)**2
Let b(u) = 66*u**4 + 414*u**3 + 772*u**2 + 314*u + 34. Let d(m) = m**4 - m**3 + m - 1. Let p(k) = -b(k) + 2*d(k). Factor p(w).
-4*(w + 3)**2*(4*w + 1)**2
Let r(q) = -2*q - 9. Let x be r(-6). Factor k**4 - 3*k**3 + 2*k**x + k**5 - k**2 + 0*k**5.
k**2*(k - 1)*(k + 1)**2
Let k(w) = -w**2 + 7*w - 5. Let l be k(5). Determine b so that 54*b**3 + 14*b**l + 4*b + 0*b - 21*b**2 - 5*b**2 - 46*b**4 = 0.
0, 2/7, 1
Let j(k) be the third derivative of -1/60*k**6 + 0*k + 0*k**5 + 0*k**4 + 0*k**3 + 2*k**2 + 0. Determine x, given that j(x) = 0.
0
Suppose -u + 12 = 3*u. Suppose 0 = -2*a + u*k - 7 + 1, 4*a + 4*k = 8. Factor -y**3 + y**4 - 2*y**5 - y**2 + a*y**4 + 3*y**5.
y**2*(y - 1)*(y + 1)**2
Let z(c) be the first derivative of c**6/9 + 5. Factor z(p).
2*p**5/3
Let i(k) = -8*k**4 - 35*k**3 - 17*k**2 + k - 26. Let l(j) = 3*j**4 + 12*j**3 + 6*j**2 + 9. Let x(n) = -6*i(n) - 17*l(n). Factor x(c).
-3*(c - 1)**3*(c + 1)
Let w = -2/65 - -28/65. Suppose -4/5*l**4 + 2/5*l**5 + 0 + 0*l**2 + w*l**3 + 0*l = 0. What is l?
0, 1
Let v be 0/1*(-12)/(-24). Let b(f) be the third derivative of v*f**4 + 0*f + 0*f**3 + 5/336*f**8 + 1/105*f**7 + 0 - 1/30*f**5 - 1/24*f**6 + 2*f**2. Factor b(y).
y**2*(y - 1)*(y + 1)*(5*y + 2)
Factor 4*g**4 + 45*g - 45*g + 6*g**3 - 2*g**3.
4*g**3*(g + 1)
Let o = -8 + 9. Let d = o - -4. Factor -f**2 + 0 - 1/2*f + 0*f**3 + f**4 + 1/2*f**d.
f*(f - 1)*(f + 1)**3/2
Suppose 15 = 3*s - 2*z, z - 3 = 5*s - 21. Suppose 0 + x**5 + 7/4*x**2 + 1/4*x + 13/4*x**4 + 15/4*x**s = 0. Calculate x.
-1, -1/4, 0
Let n(i) = -i**2 - 5*i - 4. Let v be n(-3). Suppose -16*u + 24*u**v - 11*u**3 - 5*u**3 + 4*u**4 - 1 + 5 = 0. Calculate u.
1
Factor 8*q + 3*q**2 - 3 + 3 - 11*q.
3*q*(q - 1)
Let h(v) = -v**4 - v**3 + v**2 - v - 1. Let p(d) = 21*d**5 - 15*d**3 + 6*d + 6. Let y(a) = -6*h(a) - p(a). Solve y(s) = 0 for s.
-1, 0, 2/7, 1
Let y(m) be the third derivative of 0*m + 2/27*m**3 - 7*m**2 + 0 + 1/135*m**5 + 5/108*m**4. Determine v so that y(v) = 0.
-2, -1/2
Let l(b) be the third derivative of b**6/15 - 7*b**5/15 + 7*b**4/6 - 4*b**3/3 - 9*b**2. Let l(n) = 0. Calculate n.
1/2, 1, 2
Suppose 4*c - 3*w - 3 = 0, -4*c = -5*w - 0*w - 5. Suppose c = 2*a - 6*a + 24. Determine n so that 3*n**2 + 1/2*n**3 + a*n + 4 = 0.
-2
Suppose 2*n = -n + 3. Let v = 1 - n. Factor 1/4*z**2 - 1/4*z + v.
z*(z - 1)/4
Let h(c) = -2*c**2 - 2*c - 8. Let z be 56/72 + (-2)/(-9). Let s(k) = k**2 + k + 1. Let g(i) = z*h(i) + 4*s(i). Determine a so that g(a) = 0.
-2, 1
Let k(d) be the second derivative of d**6/12 - d**5/40 - d**4/4 - 2*d**3/3 + 6*d. Let f(y) be the second derivative of k(y). Solve f(m) = 0.
-2/5, 1/2
Let s(d) be the second derivative of -d**5/20 + d**4/6 - 3*d. Factor s(q).
-q**2*(q - 2)
Let x(a) = a - 1. Let o be x(3). Factor -3*p**2 - 4*p**o - 2 - 2*p**3 - 6*p + p**2.
-2*(p + 1)**3
Let z be 0/(-1) + (5 - 3). Factor -s**2 - 3*s - z*s**2 - 6*s.
-3*s*(s + 3)
Let d(a) be the third derivative of -a**5/40 + a**4/4 + 6*a**2. Factor d(q).
-3*q*(q - 4)/2
Suppose -2*z = 3*z + 10. Let p(s) = s**2 + s - 2. Let o be p(z). Let -2/5*h**3 + 0*h - 2/5*h**2 + o = 0. Calculate h.
-1, 0
Let o be ((-48)/30)/((-162)/45). Factor 0 + 0*j + 14/9*j**5 - o*j**3 + 0*j**2 - 10/9*j**4.
2*j**3*(j - 1)*(7*j + 2)/9
Let t(g) be the second derivative of -g**7/378 + g**6/135 - 18*g. Factor t(i).
-i**4*(i - 2)/9
Let i(g) = 2*g**4 + 3*g**3 + 3*g**2 + 3*g. Let m(q) = -2*q**4 - 4*q**3 - 4*q**2 - 4*q. Let s(t) = -4*i(t) - 3*m(t). Find k such that s(k) = 0.
0
Factor -4*p**2 + 3 - 6*p - p**2 + 8*p**2.
3*(p - 1)**2
Factor 4/9 - 8/9*l**4 + 4/9*l**2 + 8/9*l**3 + 2/9*l**5 - 10/9*l.
2*(l - 2)*(l - 1)**3*(l + 1)/9
Find o, given that 6 + 31*o**2 - 34*o**2 - 3 = 0.
-1, 1
Factor -30*q**3 + 2*q**5 + 20*q**4 - 5*q - 11*q**5 + 20*q**2 + 4*q**5.
-5*q*(q - 1)**4
Let p = 14/3771 + -571609/2620845. Let n = -2/139 - p. Let 2/5 - 3/5*v + n*v**2 = 0. What is v?
1, 2
Let j(q) be the second derivative of 0 - 7/1080*q**6 - 1/2*q**3 + 1/180*q**5 + 0*q**4 - 3*q + 0*q**2. Let x(v) be the second derivative of j(v). Factor x(z).
-z*(7*z - 2)/3
Let 8/7*h + 0*h**2 + 0 - 2/7*h**3 = 0. Calculate h.
-2, 0, 2
Let m(a) be the second derivative of 1/75*a**6 + 0 - 1/5*a**2 - a - 2/15*a**3 + 1/25*a**5 + 0*a**4. Find q, given that m(q) = 0.
-1, 1
Find l such that 12/5*l**2 + 0 - 2/5*l**3 - 18/5*l = 0.
0, 3
Let w(y) = -4*y**4 + 8*y**3 + 8*y**2 - 8*y + 4. Let i(h) = h**3 + h**2 - h + 1. Let q(n) = 4*i(n) - w(n). Factor q(m).
4*m*(m - 1)**2*(m + 1)
Solve 88/7*v**2 + 16*v + 20/7*v**3 + 32/7 = 0.
-2, -2/5
Let s = 14 + -9. Suppose 1 = -5*t - o - 0, 4*o = s*t - 4. Factor t*y**2 - 2/3*y**3 + 0 + 2/3*y.
-2*y*(y - 1)*(y + 1)/3
Let x(r) be the third derivative of 1/108*r**4 + 0*r**3 + 0 + 0*r - 1/945*r**7 - 1/540*r**6 - 4*r**2 + 1/270*r**5. Factor x(t).
-2*t*(t - 1)*(t + 1)**2/9
Let u = -9/4 - -29/12. Let t(o) be the second derivative of 1/30*o**5 + 2/9*o**3 + o + 0 - u*o**4 + 0*o**2. Factor t(x).
2*x*(x - 2)*(x - 1)/3
Let s(x) be the second derivative of x**4/12 + x**3/3 + x**2/2 + 2*x. Suppose s(q) = 0. What is q?
-1
Let u(x) be the third derivative of -27*x**6/160 + 39*x**5/80 - 5*x**4/12 + x**3/6 - 3*x**2. What is c in u(c) = 0?
2/9, 1
Let o(i) be the first derivative of -i**4/24 + i**2/12 - 5. Factor o(f).
-f*(f - 1)*(f + 1)/6
Let q be -1 + (-42)/((-9)/3). Let w = q + -25/2. Factor -1/2 - w*u + 5/2*u**2 - 3/2*u**3.
-(u - 1)**2*(3*u + 1)/2
Let a(n) = -n**3 + 5*n**2 + 8*n - 7. Let h be a(6). Suppose -5*p = -5, 4*l + h*p - 4 - 5 = 0. Factor -5 + 0*i - 3*i**2 + l - 2*i + 5*i**2.
2*(i - 2)*(i + 1)
Let a(z) = z + 1. Let r(y) = -y**2 - y. Suppose -1 = -2*w - 3. Let b(k) = w*r(k) + 2*a(k). Solve b(c) = 0 for c.
-2, -1
Let i(n) be the first derivative of 0*n - 1/20*n**5 + 1/16*n**4 + 1/12*n**3 - 3 - 1/8*n**2. Let i(m) = 0. Calculate m.
-1, 0, 1
Suppose -5*k + 3*k - 4 = 0. Let a be (k/(-10))/((-4)/(-10)). Find l, given that a*l**4 + 3*l**2 - 2*l - 2*l**3 + 1/2 = 0.
1
Let p(y) = 73*y**2 - 10*y. Let i(t) = 24*t**2 - 3*t. Let h(m) = 8*i(m) - 3*p(m). Factor h(q).
-3*q*(9*q - 2)
Factor -m**3 - 2/9*m + 0 - 7/9*m**2 - 5/9*m**4 - 1/9*m**5.
-m*(m + 1)**3*(m + 2)/9
Let i(u) be the second derivative of 2*u + 3*u**5 - 55/21*u**6 + 8/21*u**3 + 0*u**2 - 34/21*u**4 + 125/147*u**7 + 0. Factor i(f).
2*f*(f - 1)*(5*f - 2)**3/7
Let m(s) be the first derivative of -s**6/30 - s**5/25 + s**4/20 + s**3/15 - 11. Let m(r) = 0. What is r?
-1, 0, 1
Let a(y) be the third