vative of r**2 - 7/2*r**4 + 4/3*r**3 - 343/120*r**6 + 0*r + 49/10*r**5 + 0. Solve c(f) = 0 for f.
2/7
Let q be ((-4)/3)/(1/(-3)). Suppose -10 = q*n - 9*n. Factor -1/3*t**5 - 10/3*t**4 - 32/3 - 40/3*t**3 - 80/3*t - 80/3*t**n.
-(t + 2)**5/3
Factor 17*f + 36*f - f**3 + 100 - 78*f + 21*f**2 - 95*f.
-(f - 10)**2*(f - 1)
Let t(d) be the second derivative of 1/27*d**4 + 6*d - 1/27*d**3 + 0*d**2 + 0 - 1/90*d**5. Factor t(n).
-2*n*(n - 1)**2/9
Let n(s) = s**2 + 7*s + 6. Let j(r) = 2*r**2 + 13*r + 11. Let l(g) = 4*j(g) - 7*n(g). Factor l(a).
(a + 1)*(a + 2)
Let x(c) be the third derivative of -c**7/2520 + c**6/180 - c**5/30 - c**4/8 - 2*c**2. Let i(b) be the second derivative of x(b). Factor i(u).
-(u - 2)**2
Factor -189/4*j**2 - 3 + 147/8*j**3 + 45/2*j.
3*(j - 2)*(7*j - 2)**2/8
Let d(u) be the third derivative of 0*u + 0*u**3 - 1/240*u**5 + 0 - 4*u**2 + 1/48*u**4. Factor d(n).
-n*(n - 2)/4
Let c(b) be the first derivative of 2/25*b**5 - 3/10*b**4 + 0*b + 2 - 1/5*b**2 + 2/5*b**3. Find z, given that c(z) = 0.
0, 1
Suppose q + 3*v + 19 = 3*q, 0 = -3*q - 4*v + 3. Find z such that z**2 - q + 2*z - 2*z + 1 = 0.
-2, 2
Let k(f) = 13*f**3 - 20*f**2 + 32*f - 16. Let m(u) = -3*u**3 + 5*u**2 - 8*u + 4. Let g(s) = -2*k(s) - 9*m(s). Determine o so that g(o) = 0.
1, 2
Let t(m) be the third derivative of 7/160*m**6 + 5*m**2 + 0*m**4 + 0 + 0*m + 1/40*m**5 + 0*m**3 + 1/56*m**7. Solve t(f) = 0.
-1, -2/5, 0
Let d be 4/5*(-15)/(-21). Let v = 3674/7 + -524. Factor -2/7*u**2 - d - v*u.
-2*(u + 1)*(u + 2)/7
Let i be -1 + (-10)/(-6) - 400/780. Factor i*o + 0 - 2/13*o**2.
-2*o*(o - 1)/13
Determine a, given that 90*a**4 - a**2 + 0*a**2 + 2*a**3 + 2*a**2 - 89*a**4 = 0.
-1, 0
Let r(h) be the second derivative of -h**5/120 - h**4/18 - 5*h**3/36 - h**2/6 - 6*h. Factor r(g).
-(g + 1)**2*(g + 2)/6
Find c such that 59*c**2 - 52*c - 30*c**2 - 40 - 17*c**2 = 0.
-2/3, 5
Let w = -485/137 - -228497/1233. Let x = 182 - w. Factor -x*z**2 - 4/9*z + 2/9*z**3 + 0.
2*z*(z - 2)*(z + 1)/9
Let q(a) = -4 + 2*a - 27*a**2 + 2*a + 15. Let h(t) = 4*t**2 + 4*t - 18*t**2 + 6 - 3*t + t. Let l(k) = -11*h(k) + 6*q(k). Determine o, given that l(o) = 0.
0, 1/4
Let w be (1 + -11)*-28 + -4. Let b = 1936/7 - w. Determine l, given that 0 + b*l - 6/7*l**2 - 2*l**4 - 24/7*l**3 = 0.
-1, 0, 2/7
Let n be -3 - (-12)/3 - -1. Factor -9*s - 7*s + 8 + s**3 - 2*s**n - 6*s + 18*s.
(s - 2)**2*(s + 2)
Suppose 6 = 4*k - 2. Let 2*f**3 - 2*f**2 - 3*f**3 - f**3 + 4*f**k = 0. What is f?
0, 1
Let x(g) = 2*g**2 - 15*g - 3. Let o be x(8). Let h(r) be the second derivative of 0*r**2 + 1/14*r**o - 1/21*r**4 + 0 + r + 0*r**3. Suppose h(w) = 0. What is w?
0, 2/5
Let s be 0 + 2 - (-27)/9. Suppose -8/11*d**3 + 10/11*d**s - 16/11*d**4 + 20/11*d**2 - 2/11*d - 4/11 = 0. Calculate d.
-1, -2/5, 1
Factor j**4 + 160*j**2 + 2 - 2*j + 4*j**3 - 2*j**5 - 164*j**2 + j**4.
-2*(j - 1)**3*(j + 1)**2
Factor 0*t - 8*t - t**5 + t**3 + 8*t.
-t**3*(t - 1)*(t + 1)
Factor 1/5*s**5 + 2/5*s + 9/5*s**3 + 0 + s**4 + 7/5*s**2.
s*(s + 1)**3*(s + 2)/5
Let f(u) be the first derivative of 1 - 8/5*u**2 - 5/6*u**6 + 4/5*u + 41/20*u**4 + 1/15*u**3 - 1/5*u**5. Determine b, given that f(b) = 0.
-1, 2/5, 1
Let s = 1951/231 + -179/22. Let z = s - -4/21. Let 0 - 1/2*u + z*u**2 = 0. Calculate u.
0, 1
Factor 0 + 2/3*p**4 + 0*p**3 - 2/3*p**2 + 1/3*p - 1/3*p**5.
-p*(p - 1)**3*(p + 1)/3
Suppose 2*t - 34 = -28. Factor -1/2*u - 5/4*u**2 + 3/4*u**4 + 0 + u**t.
u*(u - 1)*(u + 2)*(3*u + 1)/4
Let k(l) be the third derivative of -l**7/630 + l**6/90 - l**5/36 + l**4/36 - 15*l**2. Find j such that k(j) = 0.
0, 1, 2
Suppose -7*q = -4*q. Suppose -m + 3*m = -3*p + 10, q = 5*m + 2*p - 25. Factor 1/2*r**m + 0 - 1/2*r + 0*r**3 - r**4 + r**2.
r*(r - 1)**3*(r + 1)/2
Let m(y) be the first derivative of 2*y**6/9 - 4*y**5/15 - 5*y**4/3 + 4*y**3/9 + 16*y**2/3 + 16*y/3 - 10. Factor m(i).
4*(i - 2)**2*(i + 1)**3/3
Let w(c) be the second derivative of c**7/42 + 2*c**6/15 + c**5/4 + c**4/6 + 7*c. Factor w(q).
q**2*(q + 1)**2*(q + 2)
Suppose 7 = 3*f - 2*r, 0 = 4*f + r - 3*r - 8. Let d be (4/10)/(f/5). Find o such that -o**3 - 3 - 2*o**2 + 1 - o + d = 0.
-1, 0
Let q(g) = -g**2 + 8*g + 5. Let n(s) = -s**2 + 9*s + 6. Let d(x) = 6*n(x) - 7*q(x). Suppose d(u) = 0. Calculate u.
1
Factor -10*x - 6*x - 10 - 4*x**2 - 22 + 2*x**2.
-2*(x + 4)**2
Let f = 12 - 8. Suppose -13 + 51 = 2*q - 3*d, f*q + 3*d = 40. Let 2*l**4 - 9*l**4 - 6*l**2 + l + q*l**3 - 5*l**4 + 4*l**5 = 0. What is l?
0, 1/2, 1
Factor -8*z - 11*z**2 + 11*z - z.
-z*(11*z - 2)
Let f(w) = 2*w**2 - 31*w - 109. Let v be f(-3). Factor 0*k - 3/4*k**v + 3/4.
-3*(k - 1)*(k + 1)/4
Let h(w) be the first derivative of -w**3/18 + w/6 + 8. Factor h(u).
-(u - 1)*(u + 1)/6
Let r(b) = 15*b**5 - 40*b**3 + 15*b**2 + 35*b - 20. Let u(t) = -7*t**5 + 20*t**3 - 8*t**2 - 17*t + 10. Let l(i) = 2*r(i) + 5*u(i). Factor l(s).
-5*(s - 1)**3*(s + 1)*(s + 2)
Let u(t) be the third derivative of -t**10/15120 - t**9/7560 - t**4/24 - t**2. Let k(z) be the second derivative of u(z). Factor k(c).
-2*c**4*(c + 1)
Let c be 2*5/(-5) - -4. Let s(z) be the first derivative of 0*z + 2/15*z**5 - 2/9*z**3 + 1/6*z**4 - 3 - 1/3*z**c. Let s(v) = 0. What is v?
-1, 0, 1
Suppose 5*j + 5*y = 20, -23*j + 24*j + 2*y = 8. Solve 3/4*b**3 - 3/2*b**2 + 0 + 3/4*b**4 + j*b = 0 for b.
-2, 0, 1
Suppose 36 = -t - t. Let x = -18 - t. Determine n, given that 3/2*n**2 + x - 3/4*n**3 + 0*n = 0.
0, 2
Let u(z) = 2 + 5*z**2 + 0 - 4*z**2 - 3. Let a(p) = 4*p**2 + 2*p - 3. Let m(x) = a(x) - 3*u(x). What is v in m(v) = 0?
-2, 0
Let p = 6 + -6. Find x such that -1 + 2*x**2 - 2*x - x**2 + p*x - 2*x**2 = 0.
-1
Factor 15/2*b**2 + 3/2*b**3 + 0 + 6*b.
3*b*(b + 1)*(b + 4)/2
Let y(g) be the third derivative of 7*g**6/200 + g**5/20 - g**4/20 - 8*g**2. Solve y(j) = 0.
-1, 0, 2/7
Suppose 0*t = t. Let w(r) be the second derivative of 0 + 3/20*r**5 + 1/12*r**4 + 1/10*r**6 - 2*r + 1/42*r**7 + t*r**2 + 0*r**3. Factor w(s).
s**2*(s + 1)**3
Suppose 32 = -g + 2*u, 0 = -5*g - 0*g + 2*u - 168. Let p = g - -38. Find f, given that -3/4*f**p + 0*f - 1/2*f**5 + 0 + 0*f**3 + 1/4*f**2 = 0.
-1, 0, 1/2
Suppose k + 14 = 2*f + 3*k, -4*k + 20 = 0. Let s = 4 - f. Factor -s*c - 2 + c**2 + 2*c**3 + 4*c**2 + 0*c - 3*c**2.
2*(c - 1)*(c + 1)**2
Suppose -5 = -2*b + 7. Factor m**3 + b*m**4 + 7*m - 7*m - 2*m**4.
m**3*(4*m + 1)
Find d, given that 8*d**4 - 2*d**2 + 16*d**4 - 22*d**4 - 8*d**5 + 8*d**3 = 0.
-1, 0, 1/4, 1
Let b(t) be the second derivative of t**7/112 - t**6/60 - 13*t**5/160 + 3*t**4/16 + t**3/12 - t**2/2 + 22*t. Solve b(a) = 0.
-2, -2/3, 1, 2
Let t(i) be the first derivative of i**6/14 - 9*i**5/35 + 3*i**4/28 + 3*i**3/7 - 3*i**2/7 - 3. Suppose t(m) = 0. What is m?
-1, 0, 1, 2
Let q(g) be the second derivative of -5*g**7/42 + 3*g**5/2 + 10*g**4/3 + 5*g**3/2 - 53*g. Factor q(d).
-5*d*(d - 3)*(d + 1)**3
Let r(k) be the third derivative of k**8/26880 + k**7/1680 + k**6/240 + k**5/60 + k**4/24 + 8*k**2. Let z(f) be the second derivative of r(f). Factor z(o).
(o + 2)**3/4
Let c(f) be the second derivative of -f**7/77 - f**6/11 - 9*f**5/55 + f**4/11 + 7*f**3/11 + 9*f**2/11 + 4*f - 2. Determine l, given that c(l) = 0.
-3, -1, 1
Let y = 28 + -42. Let o be ((-2)/6)/(y/12). Factor -o*m - 4/7 + 2/7*m**2.
2*(m - 2)*(m + 1)/7
Suppose -4*a - w + 0*w = 3, -9 = 3*a + 3*w. Let t be 2 + 0/(-3) + a. Factor 2*g + 3*g**2 + g**3 + 0*g - 2 + t.
g*(g + 1)*(g + 2)
Let w(u) be the third derivative of 25*u**8/1344 + u**7/42 - 7*u**6/160 - u**5/12 - u**4/24 + 10*u**2. Determine j, given that w(j) = 0.
-1, -2/5, 0, 1
Let n(b) be the third derivative of b**6/780 + b**5/195 - 5*b**2. Factor n(i).
2*i**2*(i + 2)/13
Let r(m) = -m**2 - 9*m. Let u be r(-8). Let k = u + -4. What is d in 0 + 0*d + 0*d**2 + 0*d**3 - 2/3*d**5 + 0*d**k = 0?
0
Let f(h) = -h**4 - h**3 + h**2. Let q(j) = 5*j**4 - j**3 - 2*j**2. Let o(a) = -2*f(a) - q(a). Factor o(c).
-3*c**3*(c - 1)
Let y(v) be the third derivative of 2*v**7/105 + 4*v**6/15 + 13*v**5/15 + v**4 - 48*v**2. Factor y(g).
4*g*(g + 1)**2*(g + 6)
Let s(d) be the second derivative of -d**7/1680 + d**5/80 - d**4/24 + 2*d**3/3 - d. Let c(y) be the second derivative of s(y). What is f in c(f) = 0?
-2, 1
Suppose -5*s + 10 = 8*k - 3*k, -3*s = -3. Let h = k + 0. Factor l**4 + h + 4*l**3 + 4*l + 2*l**4 + 6*l**2 - 2*l**4.
(l + 1)**4
Suppose 3*g - 6 = -2*g - 3*v, 