4 - 8*a. Solve p(x) = 0 for x.
-1, 0, 2/3, 1
Let c(x) be the third derivative of -x**7/168 - 17*x**6/480 - x**5/40 + 5*x**4/24 + x**3/3 + 3*x**2. Find i such that c(i) = 0.
-2, -2/5, 1
Suppose -5*n - 2*h + 3*h = -47, -n = 2*h - 16. Suppose -t - 2 = -4*c + 15, n = 5*c + t. Factor 3/5*f**5 + 3/5*f**c + 0*f**2 + 0 + 0*f + 6/5*f**4.
3*f**3*(f + 1)**2/5
Suppose 6/13*i - 2/13*i**4 - 2/13*i**2 + 4/13 - 6/13*i**3 = 0. What is i?
-2, -1, 1
Let -4/7 - 8/7*d + 12/7*d**2 = 0. What is d?
-1/3, 1
Let h(b) = 5*b**3 + 70*b**2 + 294*b + 354. Let t(p) = 10*p**3 + 140*p**2 + 587*p + 707. Let k(o) = 13*h(o) - 6*t(o). Factor k(a).
5*(a + 2)*(a + 6)**2
Let k = -245 + 833/3. Let q be 2 + -2 - (256/6)/(-2). Factor -8/3 + k*w**3 - 154/3*w**2 + q*w.
2*(w - 1)*(7*w - 2)**2/3
Factor 0 - 4/7*i + 17/7*i**2 - 4/7*i**3.
-i*(i - 4)*(4*i - 1)/7
Let y(s) be the third derivative of 0 - 1/60*s**5 + 0*s**3 + 0*s + 0*s**4 - 3*s**2. Determine h, given that y(h) = 0.
0
Let r be (-4)/(3 + (-34)/10). Let j = 11 - 9. Let 90*h**3 + 48*h**j + 40*h**4 + r*h**4 + 4*h + 4*h = 0. Calculate h.
-1, -2/5, 0
Suppose 3*s - 66 = s. Let v = s - 89/3. Factor 5/3*r + 0*r**2 - 10/3*r**3 - 2/3 - r**5 + v*r**4.
-(r - 1)**4*(3*r + 2)/3
Let x = 10/531 + 12/59. Let m(p) = -3*p - 60. Let u be m(-20). Factor 0 - 4/9*a**5 - x*a**3 + 0*a + 2/3*a**4 + u*a**2.
-2*a**3*(a - 1)*(2*a - 1)/9
Suppose 0 = 5*i + 29 - 49. Let g(d) be the first derivative of i*d - 1 - 2/3*d**3 - d**2. Factor g(j).
-2*(j - 1)*(j + 2)
What is p in 4/5*p**5 + 88/5*p**3 + 96/5*p**2 + 36/5*p + 32/5*p**4 + 0 = 0?
-3, -1, 0
Let j be -1 + 2*(-2)/2. Let y = 7 + j. Solve q**4 - q**2 + 4*q - 3*q**3 - 5*q + y*q**3 = 0.
-1, 0, 1
Suppose h - 2*u + 0 = 2, -3*h - 4*u - 14 = 0. Let o be (h - -3)*(3 + -1). What is k in -9*k - k**3 - 4 + 0*k**3 + k - 5*k**o = 0?
-2, -1
Factor 8/13*z**2 + 0 - 8/13*z - 2/13*z**3.
-2*z*(z - 2)**2/13
Let b be (-2)/(-3) - (-16)/(-36). Find t such that -2/9*t - 2/9*t**5 + 2/9*t**4 + 4/9*t**3 + b - 4/9*t**2 = 0.
-1, 1
Let m be 3/(-2 + 14/4). Suppose 0*b = 3*b - 12. Determine d so that -d**2 + 3*d**m - b*d**2 = 0.
0
Let b(y) = 24*y**2 - 30*y + 14. Let u(l) = 23*l**2 - 29*l + 13. Let q(m) = 5*b(m) - 6*u(m). Solve q(p) = 0 for p.
2/3
Let c(h) be the third derivative of -h**5/54 - h**4/36 + 2*h**3/27 - 3*h**2 - 3*h. Factor c(z).
-2*(z + 1)*(5*z - 2)/9
Suppose -p - 3 = 7. Let h be (12/(-15))/(4/p). Factor 0 + 2/5*i**h + 2/5*i.
2*i*(i + 1)/5
Let q(o) be the second derivative of o**6/30 - o**5/2 + 11*o**4/4 - 20*o**3/3 + 8*o**2 - 28*o. Let q(s) = 0. What is s?
1, 4
Let z be 28/12 + 2/(-6). Factor -c**2 - 2*c - 4*c**2 + 3*c**z.
-2*c*(c + 1)
Let p(s) be the second derivative of s**7/168 + s**6/20 + 11*s**5/80 + s**4/8 + 32*s. Factor p(k).
k**2*(k + 1)*(k + 2)*(k + 3)/4
Let j(t) be the second derivative of -t**6/165 + 3*t**5/110 - t**4/33 + 23*t. Factor j(u).
-2*u**2*(u - 2)*(u - 1)/11
What is x in -6/5*x**2 - 12/5*x + 16/5 + 2/5*x**3 = 0?
-2, 1, 4
Factor 16/3*y**2 + 0 + 8/3*y + 2*y**3.
2*y*(y + 2)*(3*y + 2)/3
Suppose -2*q + 5*f = -37, -q - 14 = f + 3*f. Let u(r) = -r + 8. Let i be u(q). Determine w so that 0*w**2 + w - 2*w**i - 6 - 16*w - 4*w**2 = 0.
-2, -1/2
Let a(b) be the second derivative of 2/9*b**3 - 1/12*b**4 - 1/30*b**5 + 0 + 2*b + 1/90*b**6 + 2/3*b**2. Factor a(r).
(r - 2)**2*(r + 1)**2/3
Let o(y) be the second derivative of -11*y**4/21 + 26*y**3/21 - 4*y**2/7 + y + 1. Determine p, given that o(p) = 0.
2/11, 1
Let f(o) = o**3 - 15*o**2 - 15*o - 10. Let v be f(16). Suppose -j = -v*j. Factor -1/3*u - 1/3*u**2 + 1/3*u**3 + 1/3*u**4 + j.
u*(u - 1)*(u + 1)**2/3
Let w(c) = 10*c**5 + 15*c**4 + 10*c**3 - 5. Let p(u) = -11*u**5 - 15*u**4 - 9*u**3 + u**2 + 6. Let o(y) = -5*p(y) - 6*w(y). Factor o(g).
-5*g**2*(g + 1)**3
Factor 631 - g**4 + g**2 - 2*g - g**5 + 3*g**3 - 631.
-g*(g - 1)**2*(g + 1)*(g + 2)
Let x(j) = -3*j**2 + 13*j + 12. Let k be x(5). Suppose 1/3*b**k + 4/3*b + 4/3 = 0. What is b?
-2
Factor -12*p**4 + 9*p**3 + 13*p**2 + 16*p**5 - 42*p**4 + 2*p + 14*p**4.
p*(p - 2)*(p - 1)*(4*p + 1)**2
Let s(t) = -6*t**5 - 3*t**4 + 3*t**3 - 6*t - 3. Let m(v) = -17*v**5 - 8*v**4 + 10*v**3 - 17*v - 8. Let z(c) = 3*m(c) - 8*s(c). What is u in z(u) = 0?
-1, 0, 1
Let b(q) be the second derivative of q**4/6 - 8*q**3/3 + 16*q**2 + 2*q. Factor b(l).
2*(l - 4)**2
Let z be 4/18 + (-12)/54. Let i(g) be the second derivative of -1/70*g**5 + z*g**3 + 1/42*g**4 + 0*g**2 - g + 0. Factor i(c).
-2*c**2*(c - 1)/7
Let j(z) be the second derivative of 0 + 0*z**3 + 1/15*z**4 + 0*z**2 - 1/50*z**5 + 2*z. What is y in j(y) = 0?
0, 2
Let l(i) = -72*i**2 + 507*i - 432. Let w(k) = k**3 - 217*k**2 + 1520*k - 1296. Let j(y) = -8*l(y) + 3*w(y). Determine r, given that j(r) = 0.
1, 12
Let u(j) = -12*j**4 + 21*j**3 - 16*j**2 + 4*j - 3. Let r(t) = -11*t**4 + 21*t**3 - 16*t**2 + 4*t - 2. Let x(i) = 3*r(i) - 2*u(i). Factor x(o).
-o*(o - 1)*(3*o - 2)**2
Let s(g) = 2*g**3 + g**2 - g. Let y(m) = m**3 + m**2. Let p(f) = -2*s(f) + 3*y(f). Let p(b) = 0. Calculate b.
-1, 0, 2
Suppose 40 = 14*d - 16. Let y(g) be the second derivative of 1/30*g**3 + 0 - g + 0*g**2 + 1/60*g**d. Suppose y(n) = 0. What is n?
-1, 0
Let t(a) be the third derivative of a**8/336 - a**7/105 + a**6/120 - 8*a**2. Suppose t(d) = 0. Calculate d.
0, 1
Find u, given that 8/9*u**4 + 0 - 4/9*u**5 - 16/9*u + 4/3*u**3 - 16/9*u**2 = 0.
-1, 0, 2
What is b in 1/4*b**2 - 1/4*b**5 + 0 + 1/4*b**3 - 1/4*b**4 + 0*b = 0?
-1, 0, 1
Let f(s) be the first derivative of 3*s**4/4 + 2*s**3 - 15*s**2/2 - 18*s - 12. Let f(n) = 0. Calculate n.
-3, -1, 2
Let t(x) be the first derivative of -4*x**6 + 46*x**5/5 - 13*x**4/2 + 4*x**3/3 + 1. Let t(i) = 0. What is i?
0, 1/4, 2/3, 1
Let f = -179 + 182. Suppose -4/15*x**5 + 0*x + 2/5*x**4 + 0*x**f - 2/15*x**2 + 0 = 0. What is x?
-1/2, 0, 1
Let k(x) be the second derivative of x**7/84 + x**6/60 - 3*x**5/40 - 5*x**4/24 - x**3/6 - 3*x. Factor k(i).
i*(i - 2)*(i + 1)**3/2
Let o(w) be the second derivative of w**5/10 + w**4/3 - 4*w**3/3 - 8*w**2 + 27*w. Factor o(f).
2*(f - 2)*(f + 2)**2
Let o(w) = -w**3 - w - 1. Let t(i) = 3*i**3 - i + 4. Let h(f) = 4*o(f) + 2*t(f). Factor h(q).
2*(q - 1)**2*(q + 2)
Let y(g) be the second derivative of -g**4/3 + 2*g**2 + 3*g. What is n in y(n) = 0?
-1, 1
Let j(y) be the third derivative of 1/350*y**7 + 0*y**4 - y**2 + 0 + 0*y**3 + 0*y + 1/300*y**5 - 1/200*y**6 - 1/1680*y**8. Let j(c) = 0. What is c?
0, 1
Let g(x) be the first derivative of x**6/18 - 4*x**5/15 - x**4/6 + 4*x**3/3 + 3*x**2/2 + 24. Factor g(t).
t*(t - 3)**2*(t + 1)**2/3
Factor f**4 + 0*f**4 - 5*f**3 + 0*f**4 + 4*f**4.
5*f**3*(f - 1)
Let k = -3681/7 - -526. Factor 1/7*f + 0*f**2 + 0 - k*f**3.
-f*(f - 1)*(f + 1)/7
Let z = -17 - -19. Let g(l) be the first derivative of 3/2*l**4 + 4/5*l**5 + 4/3*l**3 + 2 + 0*l + 1/2*l**z + 1/6*l**6. Factor g(q).
q*(q + 1)**4
Let f(m) = -m - 2. Let z be f(-2). Let a(y) be the second derivative of z*y**2 - 1/6*y**5 + 0 - 1/63*y**7 + 11/135*y**6 - 2/27*y**3 - y + 1/6*y**4. Factor a(b).
-2*b*(b - 1)**3*(3*b - 2)/9
Let o(j) = 5*j**5 + 8*j**4 + 5*j**3 + 2*j**2 + 4*j - 4. Let h(u) = 14*u**5 + 23*u**4 + 15*u**3 + 6*u**2 + 11*u - 11. Let q(c) = -4*h(c) + 11*o(c). Factor q(r).
-r**2*(r + 1)**2*(r + 2)
Let i(d) be the third derivative of -d**8/2240 - d**7/630 - d**6/720 + d**4/4 - 5*d**2. Let v(a) be the second derivative of i(a). Factor v(w).
-w*(w + 1)*(3*w + 1)
Let a(c) be the third derivative of -c**9/211680 - c**8/70560 - c**5/60 - c**2. Let m(i) be the third derivative of a(i). Factor m(z).
-2*z**2*(z + 1)/7
Suppose 108 = 46*n + 16. Factor -i - 1/2*i**n - 1/2.
-(i + 1)**2/2
Let t(i) = 0*i + 5*i + 2*i - i + 3 - 6*i**2. Let w(o) = o**3 + 17*o**2 - 17*o - 9. Let f(x) = 8*t(x) + 3*w(x). Find c, given that f(c) = 0.
-1, 1
Let p be (-32)/48 + 4/6. Let b(o) be the third derivative of 0*o + p*o**4 - 2*o**2 + 1/30*o**6 + 0 + 1/21*o**7 + 0*o**5 + 0*o**3. Factor b(f).
2*f**3*(5*f + 2)
Suppose 20 = u - 4*n + 1, -5*u = 4*n + 1. Find v such that 1/3 + 0*v**u + 0*v + 1/3*v**4 - 2/3*v**2 = 0.
-1, 1
Let d be -4*(0 - 1/7). Factor -2/7*a**3 + d*a**2 + 0 - 2/7*a.
-2*a*(a - 1)**2/7
Let u(q) = -25*q**2 + 1. Let w be u(-1). Let y be -7*(w/(-28))/(-3). Factor 0*x - 3/2*x**y + 0.
-3*x**2/2
Let 2/11*j**3 + 0*j**2 + 2/11*j**5 + 0 + 4/11*j**4 + 0*j = 0. Calculate j.
-1, 0
Let l = 161 + -321/2. Solve -n + 1