+ 0*c**u - 3/2*c**4 - 2 - 3/5*c**5 - c**3. Factor i(n).
-3*n**2*(n + 1)**2
Let y be (-15)/(-25) - 2/(-5). Let c be (1/(-3))/(y/(-6)). Let -8/9 + 8/9*z - 2/9*z**c = 0. Calculate z.
2
Let k(f) = -f**3 + 4*f**2 + 5*f + 3. Let o be k(5). Suppose -o*n + 5 = -w + 3*w, -5 = n + 4*w. What is i in 2 + i**n - 2 = 0?
0
Factor -3/4*y**2 + 0 - 9/4*y**3 + 0*y - 3/2*y**4.
-3*y**2*(y + 1)*(2*y + 1)/4
Let m(s) = s + 1. Let z(b) = 4*b**2 - 120*b + 552. Let f(j) = -24*m(j) - z(j). Suppose f(o) = 0. Calculate o.
12
Let p(w) be the first derivative of 3*w**4/4 + w**3 - 3*w**2/2 - 3*w - 5. Factor p(k).
3*(k - 1)*(k + 1)**2
Let z be ((-3)/2)/(6/(-384)). Determine q so that 0 + 64*q**4 + 21*q - 53*q**2 - 2 + 12*q**2 - 30*q**2 - z*q**5 + 66*q**3 = 0.
-1, 1/4, 1/2, 2/3
Let t(k) be the first derivative of -k**4/2 - 4*k**3 - 11*k**2 - 12*k + 15. Factor t(m).
-2*(m + 1)*(m + 2)*(m + 3)
Let w = -15 + 5. Let j be (-12)/(-20) + (-29)/w. Find d such that 0 + 0*d**2 + j*d**4 - d**3 + 0*d = 0.
0, 2/7
Suppose y - 3*u = 0, 0 = -3*y + u - 0*u. Suppose y = -2*o + 3*o. Factor -a**5 + 0 + a**3 + o.
-a**3*(a - 1)*(a + 1)
Factor 1/10*s**2 - 2/5 - 3/10*s.
(s - 4)*(s + 1)/10
Let c(k) be the second derivative of 2/5*k**5 + k**4 + 1/15*k**6 + 0 + 4/3*k**3 - 3*k + k**2. Factor c(b).
2*(b + 1)**4
Let b(p) be the second derivative of 0 + 1/12*p**4 + 0*p**2 - 1/30*p**6 + 2*p - 1/20*p**5 + 1/6*p**3. Factor b(l).
-l*(l - 1)*(l + 1)**2
Let i(z) be the first derivative of -3*z**6/8 - 3*z**5/2 - 15*z**4/8 + 15*z**2/8 + 3*z/2 - 1. Suppose i(x) = 0. Calculate x.
-1, 2/3
Let u(r) = 3*r - 11. Let g be u(5). Let 5*z**4 - 4*z**3 - 9*z**4 + 12*z**5 + 2*z**4 - 18*z**g - 8*z + 20*z**2 = 0. Calculate z.
-1, 0, 2/3, 1
Suppose 0 = -10*j + 9*j + 2. Factor -j*g**3 + 0 - g + 5/2*g**2 + 1/2*g**4.
g*(g - 2)*(g - 1)**2/2
Let b(k) be the third derivative of 0 + 0*k + 1/36*k**4 - 1/3*k**3 - 7/1080*k**6 - 1/72*k**5 - k**2. Let x(y) be the first derivative of b(y). Factor x(p).
-(p + 1)*(7*p - 2)/3
Suppose 0 = -0*f - 3*f + 6. Suppose 5*p**5 - p**5 - 3*p**5 + 2*p**3 - 4*p**4 + f*p**3 = 0. Calculate p.
0, 2
Let d(a) = -9*a**2 + 22*a + 1. Let v(s) = 6*s**2 - 15*s - 1. Let k(n) = -5*d(n) - 7*v(n). Factor k(w).
(w - 1)*(3*w - 2)
Suppose -19 = 5*w - 119. Let u be (-4)/(-10) + 7/w. Factor 1/4*m**2 + 1/2 + u*m.
(m + 1)*(m + 2)/4
Let z(o) be the third derivative of 3*o**2 + 0*o - 1/12*o**4 + 0 + 1/20*o**5 - 1/6*o**3. Suppose z(d) = 0. What is d?
-1/3, 1
Let z be (-3 + 8)*(3 - 2). Suppose 0*t - z*t = -10. Factor 2/9*c**5 + 0 + 0*c + 2/3*c**3 - 2/3*c**4 - 2/9*c**t.
2*c**2*(c - 1)**3/9
What is g in 2*g + 6*g**3 + 0*g - 3*g**4 + g + 3*g**3 - 9*g**2 = 0?
0, 1
Let q = 55/3 + -17. Factor 2*d + q + 2/3*d**2.
2*(d + 1)*(d + 2)/3
Let w(d) be the second derivative of d**6/15 - 3*d**5/7 + 43*d**4/42 - 8*d**3/7 + 4*d**2/7 - d. What is g in w(g) = 0?
2/7, 1, 2
Suppose -34*g + 20*g**2 - 2*g**3 + 6 + 4 + 6 = 0. Calculate g.
1, 8
Determine a, given that -64/3*a**5 - 460/3*a**3 - 52/3*a - 304/3*a**4 - 241/3*a**2 - 4/3 = 0.
-2, -1/4
Factor 1/3*i**2 - 4/3*i + 1.
(i - 3)*(i - 1)/3
Let c(b) = 3*b**3 + b**2 - b. Let s be c(1). Suppose s*u - 6 = u. Determine g, given that 0*g**5 - 2*g**3 - 2*g**5 + 0*g**u + 4*g**4 = 0.
0, 1
Let x(w) be the third derivative of 7*w**6/240 - 2*w**5/15 + 11*w**4/48 - w**3/6 - 30*w**2. Determine i, given that x(i) = 0.
2/7, 1
Factor 121/3 + 1/3*w**2 + 22/3*w.
(w + 11)**2/3
Let t(m) be the third derivative of -1/70*m**5 + 0*m + 0 - 1/420*m**6 + 1/735*m**7 + 1/84*m**4 + 2/21*m**3 + 4*m**2. Let t(u) = 0. Calculate u.
-1, 1, 2
Let k(i) = 5*i**3 - 4*i**2 + 16*i - 3. Let r(h) = -3*h**3 + 2*h**2 - 9*h + 2. Let s(o) = 4*k(o) + 7*r(o). Let s(d) = 0. What is d?
-2, -1, 1
Let z(s) = 2*s**2 + 17*s + 10. Let b be z(-8). Suppose -6 = -5*j + 4. Find x, given that 6*x**4 - 2*x**3 - b*x**4 - j*x**4 = 0.
0, 1
Let s(q) be the first derivative of -q**8/2240 + q**7/3360 + q**6/480 - q**5/480 + q**3/3 - 3. Let h(c) be the third derivative of s(c). Factor h(r).
-r*(r - 1)*(r + 1)*(3*r - 1)/4
Let z be 22/(-7) - -3 - 45/(-70). Find i, given that -1/4*i**2 + z*i + 0 = 0.
0, 2
Let z be 15/(-40) + (-3)/(-8). Let m(x) be the third derivative of 1/630*x**7 + 0*x + x**2 + z*x**5 + 0*x**4 + 0 + 0*x**3 + 0*x**6. Factor m(n).
n**4/3
Let t(v) be the third derivative of -v**5/60 + v**4/12 - v**3/6 - 6*v**2. Factor t(s).
-(s - 1)**2
Let l(p) be the first derivative of 0*p - 5/18*p**4 + 1/9*p**2 - 2/15*p**5 + 2/9*p**3 + 4/27*p**6 + 4. Determine h so that l(h) = 0.
-1, -1/4, 0, 1
Suppose -2 = -2*q + 6. Find x such that -x**3 + x**5 + 0*x**5 + x**q + x**4 - 2*x**5 = 0.
0, 1
Let h(w) = -10*w**4 + 2*w**2 + 13*w + 7. Let x = 13 + -20. Let m(f) = -7*f**4 + f**2 + 9*f + 5. Let a(u) = x*m(u) + 5*h(u). Factor a(o).
-o*(o - 2)*(o + 1)**2
Let z(p) = p**3 - 2*p**2 + 2*p. Let k(t) = t**2 - t. Let o(i) = 4*k(i) + 2*z(i). Let o(q) = 0. Calculate q.
0
Let h be 30/(-225)*1/(-2). Let f(w) be the first derivative of -1/20*w**4 + h*w**3 - 2 + 0*w + 0*w**2. Factor f(p).
-p**2*(p - 1)/5
Let t(o) = 2*o**3 + o**2 + 3*o - 3. Let f = -8 - -11. Let w(p) = p**3 + p - 1. Let z(a) = f*w(a) - t(a). Suppose z(r) = 0. What is r?
0, 1
Suppose -2 = 3*r + 13. Let v(a) = -2*a - 6. Let d be v(r). Factor -2/3*k**2 - 2/3*k**d + 4/3*k**3 + 0*k + 0.
-2*k**2*(k - 1)**2/3
Suppose 3 = 4*v - 5. Suppose -2 = -4*p - 2*j + 6, 4*p + 5*j - v = 0. Suppose 3 - p*d**4 + 3*d**2 - 3 + 0*d**4 = 0. What is d?
-1, 0, 1
Let m = 23 - 21. Let z(t) be the second derivative of 2*t + 2*t**m + 0 - 1/3*t**3 - 1/6*t**4. Factor z(r).
-2*(r - 1)*(r + 2)
Let k(g) = 17*g**2 - 7*g + 1. Let u(j) = -9*j**2 + 3*j. Let r(l) = 6*k(l) + 11*u(l). What is q in r(q) = 0?
1, 2
Let d(a) be the first derivative of 3/4*a**4 - 3*a**3 + 9/2*a**2 - 3*a + 6. Factor d(h).
3*(h - 1)**3
Let x(w) be the first derivative of -w**4/30 - 2*w**3/15 - w**2/5 + 4*w - 1. Let u(o) be the first derivative of x(o). Factor u(t).
-2*(t + 1)**2/5
Find r, given that 8/9*r**2 - 4/9 + 2/9*r - 4/9*r**3 - 4/9*r**4 + 2/9*r**5 = 0.
-1, 1, 2
Let o(l) be the third derivative of -l**8/6720 - l**7/1680 + l**5/240 + l**4/96 - l**3/2 + l**2. Let k(s) be the first derivative of o(s). Factor k(r).
-(r - 1)*(r + 1)**3/4
Let o(t) = -t**2 - 2. Let b(v) = 0 - 3*v**2 - 4 - 3. Suppose 3*h - 5*h + 4 = 0. Let m(y) = h*b(y) - 7*o(y). Let m(f) = 0. What is f?
0
Let f(m) be the third derivative of -m**7/630 + m**6/180 - m**4/36 + m**3/18 - 23*m**2. Determine q so that f(q) = 0.
-1, 1
Let s(k) be the first derivative of k**6/1080 + k**5/180 + k**4/72 + k**3/3 - 3. Let d(c) be the third derivative of s(c). Suppose d(l) = 0. What is l?
-1
Let -192*w - 1/4*w**3 - 12*w**2 - 1024 = 0. What is w?
-16
Let d(z) be the first derivative of -1/9*z**3 + 0*z**2 - 1/12*z**4 - 2 + 0*z. Factor d(x).
-x**2*(x + 1)/3
Find r such that 0 + 1/5*r + 0*r**2 - 1/5*r**3 = 0.
-1, 0, 1
Let p(j) be the second derivative of j**4/60 + j**3/6 + 2*j**2/5 - 14*j. Find i such that p(i) = 0.
-4, -1
Let u(y) be the first derivative of -3 - 2/3*y**3 + 3*y**2 - 4*y. Solve u(f) = 0.
1, 2
Let i(t) be the second derivative of t**6/75 + t**5/25 - t**4/30 - 2*t**3/15 - 5*t. Factor i(q).
2*q*(q - 1)*(q + 1)*(q + 2)/5
Let c(l) be the first derivative of l**4/4 + 11*l**3/9 + 2*l**2 + 4*l/3 + 11. Factor c(z).
(z + 1)*(z + 2)*(3*z + 2)/3
Let c = -1408 + 15506/11. Factor -2*b**3 + 8/11*b**4 - 2/11 + c*b**2 - 2/11*b.
2*(b - 1)**3*(4*b + 1)/11
Let c(n) be the second derivative of n**6/75 - 3*n. Suppose c(j) = 0. What is j?
0
Let r be (-48)/26 + 2 + 64/936. What is b in 0 + 2/9*b**5 + r*b**3 + 0*b + 0*b**2 + 4/9*b**4 = 0?
-1, 0
Suppose 5*t - 4*t = 5*j - 5, -t = j - 1. Let i(a) be the second derivative of t + 1/50*a**5 + 3*a - 1/15*a**4 + 1/15*a**3 + 0*a**2. Factor i(u).
2*u*(u - 1)**2/5
Let r = -3 + -4. Let x(y) = -y**2 + 4*y + 1. Let t(o) = o**2 - 7*o - 1. Let q(c) = r*x(c) - 4*t(c). Factor q(u).
3*(u - 1)*(u + 1)
Suppose 7*n - 8*n = 0. Let x(v) be the first derivative of 3 + n*v**4 + 1/2*v**3 - 3/20*v**5 + 0*v**2 - 3/4*v. What is i in x(i) = 0?
-1, 1
Let b(n) be the first derivative of 5*n**3/3 + 15*n**2 + 40*n + 58. Factor b(h).
5*(h + 2)*(h + 4)
Let b(r) be the second derivative of 8*r - 1/21*r**3 + 0 + 3/70*r**5 + 0*r**2 - 1/21*r**4. Determine j so that b(j) = 0.
-1/3, 0, 1
Let z(r) be the first derivative of -r**5/10 + r**4/2 - 4*r**