 x(j) be the third derivative of -j**6/900 + j**5/150 + j**4/180 - j**3/15 + 48*j**2. Factor x(c).
-2*(c - 3)*(c - 1)*(c + 1)/15
Let b(j) = -2*j**2 - 23*j. Let n(t) = -t**2 - 11*t. Let v(z) = 6*b(z) - 13*n(z). Factor v(y).
y*(y + 5)
Let a be -3 - 12/(6/(-3)). Suppose a = -l + 6. Factor 2*j + 3*j**2 - j**2 - 2 - 4*j + 2*j**l.
2*(j - 1)*(j + 1)**2
Let g be 2/5 + 0 + 0. Let k be 6/45 - 10/(-6). Factor -k*x + g + 4/5*x**2.
(x - 2)*(4*x - 1)/5
Let d be 0 - ((-8)/1 - 0). Factor 7*v**5 - 13*v**4 - d*v**2 - 4*v + 21*v**4 - 3*v**5.
4*v*(v - 1)*(v + 1)**3
Let w(v) be the third derivative of v**8/112 - v**7/35 + v**6/40 + 9*v**2. Suppose w(h) = 0. Calculate h.
0, 1
Let p(s) = 10*s**4 - 12*s**3 + 6*s**2. Let u(b) = b**5 + b**4 - b**3 + b**2. Let a(t) = p(t) - 2*u(t). Let a(g) = 0. Calculate g.
0, 1, 2
Factor -1/6*x**2 + 0 + 1/6*x**4 + 1/3*x - 1/3*x**3.
x*(x - 2)*(x - 1)*(x + 1)/6
Factor -12/5*v**2 - 8/5*v + 0 - 4/5*v**3.
-4*v*(v + 1)*(v + 2)/5
Determine v so that 49 - 21*v - 7*v + 14*v + v**2 = 0.
7
Suppose 0 = u - 3*x - 15, -2*u + 4*u = 5*x + 26. Suppose u*p - 9 = -0*p. Let 0 - 2*j**2 + p*j**2 + j - 2 = 0. Calculate j.
-2, 1
Let f(u) be the second derivative of -1/15*u**6 - u**2 + 1/21*u**7 + 1/3*u**3 + 0 + 1/3*u**4 - 7*u - 1/5*u**5. Determine v, given that f(v) = 0.
-1, 1
Let v(u) be the first derivative of 2*u**6/9 + 8*u**5/5 + 13*u**4/3 + 16*u**3/3 + 8*u**2/3 - 1. Determine w so that v(w) = 0.
-2, -1, 0
Let l(i) be the first derivative of i**4/16 - i**3/4 + i**2/4 + 4. Factor l(r).
r*(r - 2)*(r - 1)/4
Let x(z) be the second derivative of z**6/40 - 3*z**5/80 - z**4/8 - 24*z. Factor x(s).
3*s**2*(s - 2)*(s + 1)/4
Let f = 8 - 8. Let a(u) be the third derivative of -2*u**2 - 7/120*u**5 - 1/6*u**3 + 0*u + f + 3/16*u**4. Let a(o) = 0. What is o?
2/7, 1
Let s(w) be the third derivative of -w**7/210 + 17*w**6/480 - w**5/10 + 13*w**4/96 - w**3/12 + 2*w**2. Determine d, given that s(d) = 0.
1/4, 1, 2
Suppose -2*c + 48 = 6*c. Let n be c/39 + 10/104. Determine k so that -3/4*k**2 + n*k + 0 = 0.
0, 1/3
Let u be 2/3 - 2/12. Let m(v) = -3*v + 11. Let r be m(3). Factor -3/4*d**3 + u*d - 1/4*d**r + 0.
-d*(d + 1)*(3*d - 2)/4
Let o be 66/9 - 2/(-3). Let b(y) = y**2 - 6*y - 8. Let t be b(8). Suppose g**4 - g**5 - t + o = 0. Calculate g.
0, 1
Let w(n) be the second derivative of 11/30*n**6 + 0 + 1/2*n**4 - 1/6*n**3 + 7/10*n**5 + 1/14*n**7 + 5*n - 1/2*n**2. Determine g, given that w(g) = 0.
-1, 1/3
Let o(t) be the second derivative of -5*t**4/12 + 5*t**3/3 - 5*t**2/2 - 5*t. Find x, given that o(x) = 0.
1
Find w, given that 0 - 3/5*w**2 - 3/5*w = 0.
-1, 0
Let l(o) = -o**3 - 2*o**2 - 2. Let s be l(-2). Let b be s - -4 - (-48)/(-27). Find x, given that b*x - 2/9*x**2 + 0 = 0.
0, 1
Let a be (-32)/72 + (-242)/(-99). Let -27/2*s + 15*s**a + 3 = 0. Calculate s.
2/5, 1/2
Factor 2*g + 16 - g + 33*g**2 + 7*g - 32*g**2.
(g + 4)**2
Let z(l) = 45*l**3 - l**2 - 19*l - 11. Let y(j) = 3*j - 6. Let f be y(4). Let i(r) = 11*r**3 - 5*r - 3. Let m(c) = f*z(c) - 22*i(c). Factor m(k).
2*k*(2*k - 1)*(7*k + 2)
Let c(n) = -n - 1. Let f be c(-2). Let x(w) = w**2 + 2*w - 1. Let p be x(-3). Factor -a**3 + 0 - 4*a**p - f - 5*a - 1.
-(a + 1)**2*(a + 2)
Solve 0 + 35*v - 63*v**2 - 5 + 16*v**3 + 8*v**2 + 9*v**3 = 0.
1/5, 1
Let s = 40 - 38. Let 0 - 1/2*i + 1/2*i**s = 0. What is i?
0, 1
Let j = 17 + -24. Let o = j - -1. Let p(g) = -2*g**2 + 5*g - 21. Let c(x) = x**2 - 2*x + 10. Let b(f) = o*p(f) - 13*c(f). Factor b(m).
-(m + 2)**2
Let v(t) = -t**3 - 2*t**2 - t - 3. Let w be v(-3). Let c be 6/w - 6/9. Factor 2/3*y**2 + c - 2/3*y.
2*y*(y - 1)/3
Factor 0 + 0*i - 2/3*i**3 - 5/3*i**4 + 0*i**2.
-i**3*(5*i + 2)/3
Let n(q) be the second derivative of -q**4/21 - 32*q**3/21 - 128*q**2/7 - 24*q. Solve n(z) = 0 for z.
-8
Let d = -91 + 94. Let v(f) be the first derivative of 3/4*f**2 - 1 + 0*f - 1/2*f**d. Factor v(p).
-3*p*(p - 1)/2
Let l = 6 - 3. Find t such that 18*t**2 + 10*t**4 + 0 + 26*t**l - 4 - 2*t + 0 = 0.
-1, 2/5
Let s(f) be the third derivative of f**7/6300 + f**6/600 + f**5/150 - f**4/8 + f**2. Let h(m) be the second derivative of s(m). Factor h(k).
2*(k + 1)*(k + 2)/5
Let g(u) be the first derivative of -2*u**3/21 + 2*u/7 + 6. Find q such that g(q) = 0.
-1, 1
Let u(g) = 15*g - 8. Let d be u(4). Let q be 91/d - 1/(-4). Factor -2/5*p**q + 0*p + 0.
-2*p**2/5
Find f such that -3/2*f**3 - 3/2*f**2 - 1/2*f - 1/2*f**4 + 0 = 0.
-1, 0
Let d be (-5)/(-8)*(-2)/(-30). Let f(u) be the second derivative of -u - 1/80*u**5 + 0 + 0*u**2 - d*u**3 + 1/24*u**4. Let f(j) = 0. Calculate j.
0, 1
Let i(r) be the first derivative of -3*r**5/5 + 9*r**4/2 - 12*r**3 + 15*r**2 - 9*r + 18. What is q in i(q) = 0?
1, 3
Let x(f) be the second derivative of 0*f**2 - 1/4*f**3 - 3*f + 0 - 1/8*f**4. Factor x(u).
-3*u*(u + 1)/2
Let p = -11 - -23/2. Let g(c) be the second derivative of 1/2*c**3 - 1/4*c**4 + 1/20*c**5 - p*c**2 + 0 - c. Factor g(z).
(z - 1)**3
Let i(a) be the second derivative of -a**7/126 + 4*a**6/45 - 11*a**5/30 + 2*a**4/3 - a**3/2 + 14*a. Factor i(h).
-h*(h - 3)**2*(h - 1)**2/3
Factor -30 - 36/5*a**2 + 27*a + 3/5*a**3.
3*(a - 5)**2*(a - 2)/5
Let g be ((-3)/(-9))/((-1)/(-12)). Let g*s + s**3 + 4*s - 5*s**2 - 4*s - 1 + s**3 = 0. Calculate s.
1/2, 1
Let y be ((-48)/(-45))/(0 - 8/(-12)). Solve y*k - 2/5 + 2/5*k**2 - 8/5*k**3 = 0.
-1, 1/4, 1
Let s(v) = -4*v**2 - 2*v - 1. Let f(b) = -b**2. Let k(z) = 10*z**2 + 8*z + 4. Let u(w) = 5*f(w) - k(w). Let d(t) = 22*s(t) - 6*u(t). Factor d(i).
2*(i + 1)**2
Let -2/9*c**4 - 2/9*c**3 + 2/9*c**2 + 0 + 2/9*c = 0. Calculate c.
-1, 0, 1
Let a(z) be the first derivative of -5 - 8/15*z**3 - 2/5*z - 7/10*z**2 - 1/10*z**4 + 1/30*z**6 + 2/25*z**5. Factor a(l).
(l - 2)*(l + 1)**4/5
Let w(g) = -9*g**3 + 7*g**2 - 12*g + 4. Let h = -8 - -13. Let q(a) = 4*a**3 - 4*a**2 + 6*a - 2. Let p(n) = h*q(n) + 2*w(n). Factor p(b).
2*(b - 1)**3
Let j = 14/29 + 16/87. Determine w so that 2/3*w**2 - 2*w**3 - j + 2*w = 0.
-1, 1/3, 1
Suppose 0 = -v + 4*b + 16, -5*v + 5*b + 20 = -2*v. Let w(n) be the third derivative of 0*n**3 + 2*n**2 + 0*n**5 + 0*n**4 + 1/120*n**6 + 0 + v*n. Factor w(u).
u**3
Let t(c) be the second derivative of -c**5/10 - c**4/6 + c**3/3 + c**2 + 13*c. Factor t(o).
-2*(o - 1)*(o + 1)**2
Let h be (-1 - -6)*3/3. Suppose -2 = 5*c + 3*g, 5*c = h*g + 11 + 19. Solve u**2 - 2 - 8*u - 6*u**c - 3*u**2 = 0 for u.
-1/2
Let a(l) = l**2 + 34*l + 67. Let o be a(-32). Factor -1/3*r**2 - 1/3*r**5 + 0 + 1/3*r**4 + 0*r + 1/3*r**o.
-r**2*(r - 1)**2*(r + 1)/3
Suppose -r + 5*r = 3*d - 2, 0 = -4*d - 8. Let o be (-3)/(5 + r) + 5. Factor -m**3 - 1 - 4*m + o*m + m**2 + m.
-(m - 1)**2*(m + 1)
Solve 0 - 3/4*w - 1/4*w**2 = 0 for w.
-3, 0
Let w(k) be the third derivative of -5*k**8/336 + k**7/21 + k**6/8 - k**5/3 - 5*k**4/6 + 17*k**2. Factor w(l).
-5*l*(l - 2)**2*(l + 1)**2
Suppose -3*i = 5*j - 8 + 55, 0 = 3*j - 4*i + 5. Let p be (j - -9) + 3/(-2). Solve -b - 1/2 - p*b**2 = 0.
-1
Let k(p) = p**2 + 1. Let d(r) = -3*r**5 + 15*r**4 + 9*r**3 - 45*r**2 - 30*r - 6. Let b(y) = -d(y) - 6*k(y). Solve b(j) = 0 for j.
-1, 0, 2, 5
Suppose -5*b + 130 - 12 = -c, -5*c = 5*b - 100. Find i such that -19*i**2 + 2*i - b*i**2 - 720*i**4 - 294*i**3 + 34*i**4 - 4*i = 0.
-1/7, 0
Let x(m) be the first derivative of m**3 + 9*m**2/2 + 4*m - 2. Let l(v) = 3*v**2 + 9*v + 3. Let y(c) = 2*l(c) - 3*x(c). Suppose y(a) = 0. What is a?
-2, -1
Let j(u) = 6*u**3 + 8*u**2 + 26*u + 16. Let o(w) = -5*w**3 - 9*w**2 - 25*w - 15. Let x(r) = 3*j(r) + 4*o(r). Solve x(s) = 0.
-3, -2, -1
Suppose 0 = -5*j + 4*j. Let u(c) = -2*c - 4. Let t be u(-3). Solve j + 2/5*b**t - 2/5*b = 0.
0, 1
Let v be 76/275*15/6. Let l = 12/11 - v. Suppose -l*k + 2/5*k**3 + 2/5 - 2/5*k**2 = 0. What is k?
-1, 1
Let -56/5*z**3 - 114/5*z**2 + 8/5 + 0*z = 0. What is z?
-2, -2/7, 1/4
Let r(z) be the third derivative of -z**8/420 + z**7/210 + 3*z**3/2 + z**2. Let x(g) be the first derivative of r(g). Factor x(f).
-4*f**3*(f - 1)
Let a(v) be the second derivative of -v**7/21 - 2*v**6/15 - v**5/10 + 14*v. Factor a(t).
-2*t**3*(t + 1)**2
Let j(o) be the second derivative of -2/5*o**6 - 1/6*o**7 + 6*o + 1/2*o**3 - o**2 + 7/6*o**4 + 1/5*o**5 + 0. Factor j(y).
-(y - 1)*(y + 1)**3*(7*y - 2)
Let w(a) be the third derivative of 0*a**3 - 1/30*a**5 - 4/105*a**7 + 0*a + 0*a**4 + 0 + 4*a**2 + 1/12*a**6. Determine u so