 be w(14). Factor 8*x**2 - 11*x**4 - 4*x + 4*x**f - x**4 + 4*x**5.
4*x*(x - 1)**3*(x + 1)
Let h(c) be the third derivative of -c**7/140 + c**6/80 + 6*c**2. Let h(r) = 0. Calculate r.
0, 1
Let c(u) = -u**3 - u**2 - u - 1. Let o(k) = -k**3 - 16*k**2 - k - 6. Let y(v) = 6*c(v) - o(v). Let y(t) = 0. Calculate t.
0, 1
Let l(x) be the first derivative of -x**2 - 6 + 0*x - 2/3*x**3 + 1/2*x**4 + 2/5*x**5. Factor l(z).
2*z*(z - 1)*(z + 1)**2
Find f such that 1/5*f**3 - 3/5*f**2 + 3/5*f - 1/5 = 0.
1
Let k be (2 + -5 + 1)*-1. Factor -4 + 7*a**2 - a + k - a - 3*a.
(a - 1)*(7*a + 2)
Let w = -2/35 + 39/70. Factor -1/2*u**2 + 0 - w*u**3 + 0*u.
-u**2*(u + 1)/2
Let x be (-13)/(-15) + (-4)/6. Factor -1/5*l**2 - 1/5*l + x + 1/5*l**3.
(l - 1)**2*(l + 1)/5
Let k = -186/13 + 5593/390. Let q(y) be the second derivative of k*y**6 + 0 - 2/3*y**3 + 3*y - 1/5*y**5 + 1/2*y**4 + 1/2*y**2. Find o such that q(o) = 0.
1
Let z(x) = 4*x**3 + 16*x**2 + 15*x + 13. Let m(f) = 2*f**3 + 8*f**2 + 7*f + 7. Let r(q) = -10*m(q) + 6*z(q). Solve r(y) = 0 for y.
-2, -1
What is d in 27*d**2 + 0*d**4 - 2*d**5 - 25*d**2 + 2*d**3 - 2*d**4 = 0?
-1, 0, 1
Suppose -2*v - 3 = -d, d + 5*v + 6 = 3*d. Find f, given that 1/4*f - 9/4*f**d + 11/4*f**4 - f**5 + 0 + 1/4*f**2 = 0.
-1/4, 0, 1
Suppose -23*v + 28*v - 20 = 0. Factor -3/5*g + 2/5*g**2 + 2/5*g**3 + 1/5*g**5 + 1/5 - 3/5*g**v.
(g - 1)**4*(g + 1)/5
Find v such that 0*v + 0*v**2 + 2/5*v**5 + 8/5*v**3 + 0 - 8/5*v**4 = 0.
0, 2
Suppose -7*z = -5*z - 5*i - 3, -2*z = -3*i - 5. Suppose 13 = -2*g + 7*g - v, 23 = 5*g + 4*v. Factor 0 + 50/3*n**5 + 0*n**2 + 0*n + 8/3*n**g + 40/3*n**z.
2*n**3*(5*n + 2)**2/3
Factor -12*s - 2/5*s**2 - 90.
-2*(s + 15)**2/5
Suppose 2*p = 3*p - 2, -2*l = 3*p - 10. Let h(d) be the first derivative of -1/2*d**4 + 0*d**3 + 2 + 0*d**l + 0*d. Factor h(k).
-2*k**3
Let a(s) be the third derivative of s**9/151200 - s**8/25200 - s**7/12600 + s**6/900 - s**5/10 + 3*s**2. Let d(c) be the third derivative of a(c). Factor d(n).
2*(n - 2)*(n - 1)*(n + 1)/5
Factor -3*z**2 + 6*z**2 - 2*z**2 - 5*z - z + 5.
(z - 5)*(z - 1)
Let g(h) be the first derivative of -h**6/30 + 2*h**5/25 - h**4/20 - 22. Solve g(d) = 0.
0, 1
Suppose 2*w - 10 = -5*x + 4, 0 = 3*w + x + 5. Let t(h) = h**2 + h - 2. Let a be t(w). Determine b, given that 0 + 2/3*b**3 + 2*b**a - 2/3*b - 2*b**2 = 0.
-1, -1/3, 0, 1
Suppose 0 = -4*w - n + 3, 4 = -3*w - 2*n. Factor 3 + 4*j - 1 + 0*j**2 + 2*j**w.
2*(j + 1)**2
Suppose 3*j**2 + j - 2*j**2 - 2*j**2 = 0. What is j?
0, 1
Let s(h) be the first derivative of -h**4/7 + 4*h**3/21 + 10*h**2/7 + 12*h/7 + 25. Let s(m) = 0. What is m?
-1, 3
Let m = 1 - 4. Let d be (1/(-4))/(m/8). Factor d*o**3 + 4/3*o**2 + 0 + 2/3*o.
2*o*(o + 1)**2/3
Let s(l) = 2*l - 14. Let x be s(8). Factor -x*g - 1/2 - 5/2*g**2 - g**3.
-(g + 1)**2*(2*g + 1)/2
Suppose 4*s - 44 = 2*s - 3*q, -2*q = 5*s - 88. Suppose 4*x + s = 0, -2*a + 2*x - 4 + 18 = 0. Determine f, given that 5*f + 3*f**2 + 2*f**3 - 3*f**a - 7*f = 0.
0, 1, 2
Let i be (3/2)/((-2)/(-4)). Factor -2*l**5 - i*l**4 + 0*l**2 + l**4 + 0*l**2.
-2*l**4*(l + 1)
Let f(c) = -2*c + 2*c - c**2 + 2 + 4*c - 5*c. Let t be f(-2). Determine v, given that -1/4*v**2 - 1/4*v**3 + 0 + t*v = 0.
-1, 0
Let l = -5 + -3. Let s be 2/l - 21/(-4). Factor 0 + o**2 + 0*o**3 + 1/2*o**s - 1/2*o - o**4.
o*(o - 1)**3*(o + 1)/2
Let b = -51 - -56. Factor -2/11*z - 2/11*z**b + 4/11*z**3 - 2/11*z**4 - 2/11 + 4/11*z**2.
-2*(z - 1)**2*(z + 1)**3/11
Let i(j) be the first derivative of 2/3*j**3 + 0*j**4 - j - 1/5*j**5 - 2 + 0*j**2. Solve i(k) = 0 for k.
-1, 1
Suppose -w = -4*t + 25, 0 = 5*t + w - 17 - 3. Suppose -8 = h - t*h. Factor 1/4*u**h - 1/4*u**4 - 1/4*u**3 + 0 + 1/4*u.
-u*(u - 1)*(u + 1)**2/4
Let a = 114 - 1022/9. Factor a + 16/3*d**2 + 26/9*d + 2*d**3.
2*(d + 2)*(3*d + 1)**2/9
Let h(c) be the first derivative of -c**7/1680 - c**6/360 - c**5/240 + c**3/3 - 2. Let i(t) be the third derivative of h(t). What is b in i(b) = 0?
-1, 0
Let l = 19 - 13. Suppose -5*p + 16 = 2*y + y, -l = -3*p. Factor v**y - 2*v**2 + v + 0*v.
-v*(v - 1)
Let l(x) be the third derivative of -x**5/15 + x**4/6 + 4*x**3/3 - 20*x**2. Find q such that l(q) = 0.
-1, 2
Determine i, given that -76*i**2 - 20 + 34 - 28*i**3 + 24*i - 14 = 0.
-3, 0, 2/7
Let i be (-35)/(-28)*((-6)/15)/(-2). Let c(p) be the first derivative of 1/6*p**3 + i*p**2 + 1 + 0*p. Factor c(s).
s*(s + 1)/2
Let m(d) be the first derivative of d**7/840 - d**5/120 - 2*d**3 + 5. Let f(b) be the third derivative of m(b). Factor f(j).
j*(j - 1)*(j + 1)
Suppose -39 = a - 5*a + 5*q, -q = -4*a + 43. Suppose 3*r - 4*j = -a, -3*j = -r + 2 - 14. Factor 6/5*b**r + 0 + 0*b - 2/5*b**2 + 8/5*b**4.
2*b**2*(b + 1)*(4*b - 1)/5
Factor 720 - 40*m + 65*m + 95*m + 6*m**2 - m**2.
5*(m + 12)**2
Let r(f) = 5*f**3 - 3*f**2 + 4*f. Suppose 0 = -2*d + 5*j - 8, -d - 2*j + 3 = -11. Let p(a) = -4*a**3 + 3*a**2 - 3*a. Let k(q) = d*p(q) + 4*r(q). Factor k(s).
-2*s*(s - 1)*(2*s - 1)
What is a in 21*a - 5*a**2 - 9 + 3 - 14 - a = 0?
2
Let b(q) be the second derivative of 2*q**6/15 + 3*q**5/5 + q**4 + 2*q**3/3 - 11*q. Factor b(k).
4*k*(k + 1)**3
Let i(c) be the third derivative of -c**6/540 - c**5/30 - c**4/4 - c**3/2 - 4*c**2. Let h(k) be the first derivative of i(k). Suppose h(t) = 0. What is t?
-3
Let z = 6 + -8. Let u(b) be the third derivative of b**5/12 - b**4/2 - b**3/3 - b**2. Let o(p) = -19*p**2 + 48*p + 7. Let k(t) = z*o(t) - 9*u(t). Factor k(x).
-(x - 2)*(7*x + 2)
Let -7*i**3 - 2*i**4 + 8*i - 4 - i**2 + 4*i**5 + 0 + 7*i**4 - 5*i**5 = 0. What is i?
-1, 1, 2
Let l(s) be the first derivative of s**7/105 - s**6/60 - s**5/30 + s**4/12 - 2*s**2 + 4. Let b(g) be the second derivative of l(g). Solve b(f) = 0 for f.
-1, 0, 1
Determine m so that -4*m**2 + 2*m + 2*m**2 + 10*m**3 + 2*m**4 - 8*m**3 - 4*m**3 = 0.
-1, 0, 1
Let s be -4*8/16*1/(-5). Factor 6/5*g**3 + s*g**2 + 0*g + 0.
2*g**2*(3*g + 1)/5
Factor 582*t**2 + 2*t - 5*t - 583*t**2.
-t*(t + 3)
Let u(f) be the second derivative of -f**6/60 + f**5/15 + f**4/12 - 2*f**3/3 + 5*f**2/2 - f. Let t(x) be the first derivative of u(x). Factor t(a).
-2*(a - 2)*(a - 1)*(a + 1)
Let y(d) be the second derivative of -d**4/28 - d**3/7 - 10*d. Factor y(z).
-3*z*(z + 2)/7
What is x in 12*x**3 + 29*x**2 + 6*x**5 - 2*x**5 - 25*x**2 + 12*x**4 = 0?
-1, 0
Suppose -2/17*k**3 + 4/17*k**2 + 8/17 + 14/17*k = 0. Calculate k.
-1, 4
Let a(r) be the third derivative of r**7/1260 - r**6/120 + r**5/360 + r**4/6 + 4*r**3/9 - 41*r**2. Factor a(h).
(h - 4)**2*(h + 1)**2/6
Let l = 8 + -4. Suppose 8 + l = q - f, 4*q - 44 = 3*f. Factor 18*a**4 - 7*a**3 + 8*a**3 + q*a**5 + 2*a**2 + 11*a**3.
2*a**2*(a + 1)**2*(4*a + 1)
Let o(y) = -y - 2. Let k be o(-4). Let r(p) be the third derivative of -2*p**k + 0 + 0*p + 1/120*p**6 + 0*p**5 + 0*p**3 + 0*p**4. Factor r(c).
c**3
Let f(y) = -4*y**2 + 1. Let j be f(1). Let i be 2 + (-2 - j)*1. Factor -3*u**3 + 11*u - 4 - 3*u + 2*u**3 + 2*u**i - 5*u**2.
(u - 2)**2*(u - 1)
Suppose 35 = 5*u + f, 2 = u + f - 5. Suppose u*q - 9 = 4*q. Factor 2/9*g**q + 0*g + 0*g**4 - 2/9*g**5 + 0 + 0*g**2.
-2*g**3*(g - 1)*(g + 1)/9
Let i(d) be the second derivative of -d**7/210 + d**6/150 + d**5/50 + 2*d + 6. Find t, given that i(t) = 0.
-1, 0, 2
Let l(p) be the third derivative of p**7/70 - p**6/40 - p**5/20 + p**4/8 + 10*p**2. Factor l(g).
3*g*(g - 1)**2*(g + 1)
Let k be (-2119)/(-195) - (-1)/(-5). Determine z, given that 14/3*z**3 + 0 + 8/3*z + k*z**2 = 0.
-2, -2/7, 0
Let b(n) be the first derivative of -n**4 - 8*n**3/3 + 2*n**2 + 8*n - 19. Find j, given that b(j) = 0.
-2, -1, 1
Let g(l) be the third derivative of 0*l - 1/80*l**6 + 1/16*l**4 + 1/120*l**5 - 7*l**2 + 0 - 1/6*l**3 + 1/420*l**7. Factor g(q).
(q - 2)*(q - 1)**2*(q + 1)/2
Let f(z) = -17*z**3 - 3*z**2 + 5. Let x(g) = -8*g**3 - 2*g**2 + 2. Let d(u) = 4*f(u) - 10*x(u). Factor d(q).
4*q**2*(3*q + 2)
Suppose 6/7*o + 2/7*o**2 + 4/7 = 0. Calculate o.
-2, -1
Let u(z) be the first derivative of 3*z**4/16 + 5*z**3/4 + 9*z**2/4 + 9. Factor u(a).
3*a*(a + 2)*(a + 3)/4
Let b be ((-2)/8)/((-63)/(-112)). Let v = b + 10/9. Solve 2/3 - v*y**2 + 0*y = 0.
-1, 1
Factor 16/3 + 8/3*g + 1/3*g**2.
(g + 4)**2/3
Let g be ((-1)/30)/(-2 - -1). Let u(k) be the second derivative of 0*k**2 - g*k**4 + 1/15*k**3 + 0 - k. Factor u(l).
-2*l*(l - 1)/5
Let k(t) be the second derivative of -t**6/720 - t