(b) be the third derivative of -3*b**7/455 - 11*b**6/780 + 7*b**5/390 + 11*b**4/156 + 2*b**3/39 + 24*b**2. Let a(f) = 0. Calculate f.
-1, -2/9, 1
Solve 0 - 2/7*a - 8/7*a**2 = 0.
-1/4, 0
Let p be 0/(-23)*1/3. Factor -2/5*c**4 + 4/5*c + p*c**2 - 4/5*c**3 + 2/5.
-2*(c - 1)*(c + 1)**3/5
Let m(w) = 3*w**5 + 10*w**4 + 3*w**3 - 5*w - 3. Let n(t) = -6*t**5 - 21*t**4 - 6*t**3 - t**2 + 11*t + 7. Let o(z) = -7*m(z) - 3*n(z). Factor o(p).
-p*(p + 1)**3*(3*p - 2)
Let l(k) be the third derivative of k**5/180 - k**3/18 + 3*k**2. Suppose l(t) = 0. Calculate t.
-1, 1
Let q(j) = 2*j**2 + 3*j + 7. Let t(f) = -f**2 - 2*f - 6. Let i(y) = -2*q(y) - 3*t(y). Find d, given that i(d) = 0.
-2, 2
Let k be 11/(220/96) + -4. Let j = 13/10 - k. Suppose 0 + i - j*i**2 = 0. Calculate i.
0, 2
Suppose g + q + 2 = 0, 0*q + 3*q = -12. Let 12 - 10*y - 14*y + 8*y**2 + y**g = 0. What is y?
2/3, 2
Let y = -6 - -8. Factor -18*j**3 - y*j - 11*j**2 - 2*j**2 + j**2.
-2*j*(3*j + 1)**2
Let m(u) be the second derivative of 0*u**4 + 0 + 0*u**2 + 3/20*u**5 - 1/2*u**3 - 9*u. Let m(j) = 0. Calculate j.
-1, 0, 1
Suppose 9*h - 8 = 10. Determine l, given that -1/2*l**h + 1/2*l**3 + 1/2*l**4 - 1/2*l + 0 = 0.
-1, 0, 1
Let o(r) be the third derivative of -r**10/5040 - r**9/1890 - r**8/3360 + r**4/4 - 2*r**2. Let n(b) be the second derivative of o(b). Find f such that n(f) = 0.
-1, -1/3, 0
Let s(d) be the first derivative of 3*d**4/4 + 2*d**3 - 6*d**2 - 24*d + 13. Find f such that s(f) = 0.
-2, 2
Let k(w) = 2*w + 4. Let n = 3 + -5. Let z be k(n). Let 2/3*g**5 + 0*g**4 + 0 + z*g**2 + 0*g - 2/3*g**3 = 0. Calculate g.
-1, 0, 1
Let g(p) = -5*p**2 + 13*p - 3. Let u(n) be the first derivative of n - 3*n**2 + 2/3*n**3 - 1. Let f(y) = 6*g(y) + 14*u(y). Find i such that f(i) = 0.
-2, -1
Let l(g) be the second derivative of 2*g + 4/3*g**3 + 1/10*g**5 + 3/2*g**2 + 1/2*g**4 + 1/120*g**6 + 0. Let j(u) be the first derivative of l(u). Factor j(p).
(p + 2)**3
Let d(z) = -7*z**3 + 7*z**2. Let m(l) = -l**3 + l**2. Suppose -3 + 2 = t. Let v(x) = t*d(x) + 6*m(x). Factor v(h).
h**2*(h - 1)
Let i(d) = d**4 + d**2 + 1. Let v be ((-2)/(-4))/((-2)/4). Let r(a) = -3*a**2. Suppose 3*u = -6 + 3. Let n(w) = u*r(w) + v*i(w). Factor n(x).
-(x - 1)**2*(x + 1)**2
Let g(d) be the second derivative of -d**4/12 + d**2/2 + d. Let b(l) = l**3 - 2*l**2 - l + 2. Let w(a) = -b(a) + 3*g(a). Factor w(j).
-(j - 1)*(j + 1)**2
Let j(l) = -5*l - 6. Let k(a) = 2*a + 2. Let w(r) = -3*j(r) - 8*k(r). Let n be w(2). Let 1/3*f + 2/3*f**2 + 1/3*f**3 + n = 0. What is f?
-1, 0
Let v(j) be the third derivative of -j**7/8820 - j**6/1260 - j**5/420 - 5*j**4/24 - 7*j**2. Let s(p) be the second derivative of v(p). Factor s(n).
-2*(n + 1)**2/7
Let c(m) = 4*m**3 + m**2 - 7*m - 4. Let z(n) = 4*n**3 + 2*n**2 - 6*n - 4. Let t(y) = -2*c(y) + 3*z(y). Find h such that t(h) = 0.
-1, 1
Factor -k**4 - 1/4*k - k**2 - 1/4*k**5 + 0 - 3/2*k**3.
-k*(k + 1)**4/4
Let y(x) = -8*x + 232. Let p be y(29). Determine j, given that -3/4*j**3 + p*j**2 - 1/4*j**4 + 0 + j = 0.
-2, 0, 1
Let a(u) be the third derivative of 0*u**4 - 1/330*u**5 - 5*u**2 + 0*u + 0*u**3 + 1/1155*u**7 + 0 - 1/1848*u**8 + 1/660*u**6. Suppose a(d) = 0. What is d?
-1, 0, 1
Let k(w) be the first derivative of -w**7/1680 - 4*w**3/3 - 4. Let s(y) be the third derivative of k(y). Factor s(x).
-x**3/2
Suppose -5*n - b = 18, 6 = -2*n + b + 3. Let d be (3 - -1)*n/(-6). Suppose -s**3 + 2*s**2 - s**3 + 6*s**3 - d*s = 0. What is s?
-1, 0, 1/2
Let l(z) = 2*z**4 + 12*z**3 - 6*z**2 - 8. Suppose -1 = -2*w + 15. Let b(o) = o**4 + 4*o**3 - 2*o**2 - 3. Let q(r) = w*b(r) - 3*l(r). Find d such that q(d) = 0.
0, 1
Let v(y) = 1. Let q(c) be the first derivative of c**2 - c - 4. Let a be q(1). Let u(f) = -2*f**2 + 2*f - 2. Let i(j) = a*u(j) + 6*v(j). Factor i(g).
-2*(g - 2)*(g + 1)
Let a(g) = 5*g**2 + 2*g + 5. Let v(y) = -y**2 + y + 1. Let c(s) = 3*a(s) + 12*v(s). Factor c(u).
3*(u + 3)**2
Let u(r) = -48*r - 526. Let z be u(-11). Factor -1/2*f**4 + f**3 + 3/2*f**2 - 2 - z*f.
-(f - 2)**2*(f + 1)**2/2
Let n(v) be the second derivative of v**5/4 + v**4 + 3*v**3/2 + v**2 + 2*v. Factor n(r).
(r + 1)**2*(5*r + 2)
Factor 6*i**4 + 3*i**3 + i**3 - 4*i**4 + 0*i**3 + 2*i**2.
2*i**2*(i + 1)**2
Let s be ((-10)/6 + 0)*-3. Factor -s*b**3 + 2*b**3 - b**2 + b**3 - 2*b - 3*b**2.
-2*b*(b + 1)**2
Let b = -203/2 - -104. Determine p so that 1/2 - b*p + 2*p**2 = 0.
1/4, 1
Let w(y) = 7*y**2 - 20*y - 3. Let q(s) = 3*s**2 - 10*s - 2. Let f(m) = 9*q(m) - 4*w(m). Let p be f(-9). Let -4*b**2 + p*b**3 + 0 + 4/3*b = 0. Calculate b.
0, 2/3
Let c(b) be the second derivative of 3*b**5/80 + b**4/8 - b**3/8 - 3*b**2/4 - 3*b. Find n such that c(n) = 0.
-2, -1, 1
Let h(p) be the first derivative of -p**4/2 - 4*p**3/3 + 1. Solve h(m) = 0 for m.
-2, 0
Let y(z) = -5*z - 2. Let u be y(-13). Let v be 161/u + (-2)/9. Suppose -2/3*j**2 + 2/3*j**4 + 0*j + 7/3*j**3 + 0 - v*j**5 = 0. Calculate j.
-1, 0, 2/7, 1
Let s be 5*1/1*1. Suppose -p + s*p = 0. Factor -2/3*i + 1/3*i**2 + i**3 + p.
i*(i + 1)*(3*i - 2)/3
Let t(u) be the first derivative of u**4 + 4*u**3 + 6*u**2 + 4*u - 1. Suppose t(s) = 0. Calculate s.
-1
Let q be 6/(-8) + 75/20. Factor 14*m - 5*m**2 + 1 - m**3 + q + m**2 - 13*m**3.
-2*(m - 1)*(m + 1)*(7*m + 2)
Let u(p) be the third derivative of p**8/672 - p**7/210 - p**6/120 + p**5/15 - 7*p**4/48 + p**3/6 - p**2. Factor u(x).
(x - 1)**4*(x + 2)/2
Let l(k) be the first derivative of -k**4/12 - k**3/2 - k**2 - 3*k - 3. Let c(r) be the first derivative of l(r). Find w such that c(w) = 0.
-2, -1
Suppose n - 6 + 8 = 0. Let j be (-2)/6*4/n. Find q such that -1/3*q**2 - 1/3 + j*q = 0.
1
Let j be 3*3/9 - 11. Let m be (-8)/36 - j/18. Solve 0*q**2 + 0 - m*q**3 + 0*q = 0 for q.
0
Factor 1/3*v**2 + 0 + v**4 + 0*v - v**3 - 1/3*v**5.
-v**2*(v - 1)**3/3
Find k such that -4*k + 2*k**3 + 4*k - 2*k**2 - 2*k**5 + 2*k**4 + 0*k**5 = 0.
-1, 0, 1
Let z be 17/5 + (-6 - -4). Let l = z - 53/45. Factor 2/3*n**3 + 10/9*n + l + 14/9*n**2.
2*(n + 1)**2*(3*n + 1)/9
Find f such that -5*f**3 + 8*f**5 - 2*f**2 + 5*f**4 - 3*f**5 - 3*f**2 = 0.
-1, 0, 1
Let x(u) = u**2 - 5*u - 4. Let c be x(6). Let l(z) be the third derivative of -4*z**c - 1/36*z**4 + 0*z**3 + 0*z + 0 + 1/90*z**5. Suppose l(y) = 0. What is y?
0, 1
Let k(o) be the first derivative of -o**5 + 25*o**4/4 - 10*o**3 - 10*o**2 + 40*o - 14. Factor k(c).
-5*(c - 2)**3*(c + 1)
Suppose c - 2*t = 3 - 11, 2*c - 5*t = -21. Let a(g) be the third derivative of 0 + 0*g + 0*g**4 + 0*g**3 - 2*g**c + 1/60*g**5. Factor a(f).
f**2
Let c(y) = -2*y**2 - 6*y + 2. Let w be c(-6). Let a be w/(-60) + 4/(-24). Find r, given that -4/5 + a*r + 4/5*r**2 - 2/5*r**3 = 0.
-1, 1, 2
Factor -2/5*c**2 + 11/5*c**3 - 16/5*c**4 + 7/5*c**5 + 0 + 0*c.
c**2*(c - 1)**2*(7*c - 2)/5
Let i(m) be the second derivative of m**4/36 - m**3/27 - 8*m. Suppose i(z) = 0. Calculate z.
0, 2/3
Let n be (18/(-63))/((-6)/14). Let d(p) be the first derivative of 4*p + p**2 - n*p**3 + 2. Suppose d(a) = 0. What is a?
-1, 2
Let d(q) be the third derivative of -q**5/210 - q**4/7 - 12*q**3/7 - 48*q**2. Factor d(m).
-2*(m + 6)**2/7
Suppose 7 = -3*k + 2*i, -k + 4*i = 3*k + 16. Let m be (1 - (-1 - -3)) + k. Factor -2*f**4 - 2/3*f**5 - 2/3*f**2 + 0 - 2*f**3 + m*f.
-2*f**2*(f + 1)**3/3
Let i(d) be the third derivative of 0 + 1/120*d**5 - 2*d**2 + 0*d + 1/24*d**4 + 1/12*d**3. What is f in i(f) = 0?
-1
Let m be (-2)/(-6 + 4 + 1). Determine x so that 2/9*x**3 - 2/9*x**m + 2/9*x**4 - 2/9*x + 0 = 0.
-1, 0, 1
Let r(c) be the first derivative of -c**6/120 + c**5/80 + 5*c + 3. Let m(i) be the first derivative of r(i). Solve m(k) = 0.
0, 1
Let t be -9*2*(-3)/18. Suppose d**3 - d + 0*d - d + 3*d**t - 2*d**5 = 0. What is d?
-1, 0, 1
Factor 243*b - 729/4 - 135/2*b**2 - 1/4*b**4 + 7*b**3.
-(b - 9)**3*(b - 1)/4
Let g be (-14)/21 - (-46)/6. Solve -4*j**2 - j**3 + g*j**2 - 3*j + 2 - 1 = 0 for j.
1
Factor 20/3*z - 55*z**3 + 0 + 80/3*z**2.
-5*z*(3*z - 2)*(11*z + 2)/3
Let s(c) be the first derivative of 5*c**3/6 - 5*c**2/2 - 4. Factor s(u).
5*u*(u - 2)/2
Let k(i) = -2*i**3 + 2*i**2 + i. Let f(w) = -w**3 + w**2 - w. Let g = 4 - 5. Let s(q) = g*f(q) + k(q). Find m, given that s(m) = 0.
-1, 0, 2
Suppose u + 5*h + 0*h = 15, 0 = 3*u - 3*h - 9. Factor -1/3 + y**4 - 1/3*y**u - 2/3*y**3 + y - 2/3*y**2.
-(y - 1)**4*(y + 1)/3
Let u(w) be the 