d) = 2*n(d) - 9*x(d). Let z be v(6). Factor 4*o - 3*o**z - 4*o**3 + 2 - 4 + 5*o**4.
2*(o - 1)**3*(o + 1)
Let k(d) be the first derivative of 2/7*d**3 + 0*d - 1/7*d**2 - 2. Solve k(q) = 0 for q.
0, 1/3
Let j(v) be the first derivative of 0*v**5 + 2 - 1/6*v**6 + 1/4*v**4 + 0*v**3 + 0*v**2 + 0*v. Factor j(r).
-r**3*(r - 1)*(r + 1)
Let c(g) = -7*g**2 - 32*g - 16. Let q(p) = -4*p**2 - 16*p - 8. Let l(o) = -2*c(o) + 5*q(o). Factor l(r).
-2*(r + 2)*(3*r + 2)
Let t = -10 - -10. Suppose t = 3*k + k. Factor 0*x + 1/3*x**4 - 1/3*x**3 + k + 1/3*x**5 - 1/3*x**2.
x**2*(x - 1)*(x + 1)**2/3
Let m(w) = -w - 5. Suppose -4*l = 18 + 2. Let j be m(l). Determine u so that -u**2 - 5 + j + 3*u + 3 = 0.
1, 2
Let s(r) be the second derivative of r**8/1344 - r**6/160 + r**5/120 + 3*r**2/2 - 3*r. Let p(y) be the first derivative of s(y). Factor p(c).
c**2*(c - 1)**2*(c + 2)/4
Suppose -3*w = -4*w + 5*m + 20, 4*w = -4*m - 16. Find j such that 14/3*j**3 - 4/3*j**2 + w - 2/3*j - 8/3*j**4 = 0.
-1/4, 0, 1
Let i(m) be the first derivative of -1/90*m**6 - 1/4*m**4 + 1/12*m**5 - 1/3*m**2 + 7/18*m**3 - 2 + m. Let c(z) be the first derivative of i(z). Factor c(v).
-(v - 2)*(v - 1)**3/3
Determine q, given that 3*q**5 - 3 + 6*q**2 + 6*q**4 + 3*q - 9*q**4 + 3*q**2 - 3*q**2 - 6*q**3 = 0.
-1, 1
Let h(o) = -44*o**4 - 200*o**3 - 36*o**2 + 136*o. Let b(z) = -9*z**4 - 40*z**3 - 7*z**2 + 27*z. Let m(p) = -16*b(p) + 3*h(p). Factor m(s).
4*s*(s + 1)*(s + 3)*(3*s - 2)
Let k(r) be the third derivative of 0*r**4 - r**2 + 0*r**3 + 0 + 1/60*r**5 + 0*r. Factor k(c).
c**2
Suppose 0 + 2/11*d**4 - 2/11*d**2 - 4/11*d - 2/11*d**5 + 6/11*d**3 = 0. Calculate d.
-1, 0, 1, 2
Let r(k) = 2*k**2 - 16*k. Suppose 4*i - 8 = -0*i. Let p(v) = -v**2 + 5*v. Let s(u) = i*r(u) + 7*p(u). Factor s(d).
-3*d*(d - 1)
Let y(m) be the first derivative of m**6/900 + m**5/75 + m**4/15 + m**3 + 2. Let d(x) be the third derivative of y(x). Suppose d(z) = 0. Calculate z.
-2
Let i(z) be the third derivative of z**9/60480 - z**8/6720 + z**7/1680 - z**6/720 + z**5/30 + 4*z**2. Let p(s) be the third derivative of i(s). Factor p(u).
(u - 1)**3
Factor -10*j**2 + 55*j**3 + 0*j**5 - 80*j**4 + 5*j**5 + 30*j**5.
5*j**2*(j - 1)**2*(7*j - 2)
Let w be (-4)/18 - 116/72*-2. Let x = -3 - -3. Determine d, given that 0 + 2/3*d**w + x*d + 0*d**2 = 0.
0
Let k(r) = -r**2 - 5*r - 2. Let d = -12 + 8. Let l be k(d). Suppose -3*o**4 + 0*o**3 - 1 - 2*o + 2*o**3 + 2 + l*o**4 = 0. What is o?
-1, 1
Let q = 3/4 - 41/60. Let l(y) be the first derivative of -q*y**3 + 3/10*y**2 - 2 - 2/5*y. Let l(g) = 0. What is g?
1, 2
Factor 1526*c + 17*c**2 + 15*c**4 - 1520*c + 3*c**5 + 4*c**2 + 27*c**3.
3*c*(c + 1)**3*(c + 2)
Let k(f) be the second derivative of -2*f**7/63 + 2*f**6/135 + f**5/9 - f**4/27 - 4*f**3/27 - 11*f. Find m, given that k(m) = 0.
-1, -2/3, 0, 1
Factor 41*b**4 + 16*b**5 + 1800*b**3 + 3888*b**2 + 251*b**4 + 443*b + 421*b.
4*b*(b + 6)**3*(4*b + 1)
Let g(v) be the second derivative of -v**6/45 + v**5/15 - v**4/18 - 8*v. Factor g(u).
-2*u**2*(u - 1)**2/3
Suppose 0 = -4*a + 4 - 0. Let z be 2/a + (3 - 3). Factor -1 - 2 + 3 + z*q**4.
2*q**4
Let a(f) be the first derivative of f**4/2 - 4*f**3/21 - 7. Factor a(b).
2*b**2*(7*b - 2)/7
Let m(v) = v - 3. Let f be m(-5). Let h be 9/(6*(-2)/f). Find b such that 2*b**4 - 6*b**2 - 3*b**5 + h*b**4 + 3*b - 2*b**4 = 0.
-1, 0, 1
Find t such that 12*t**2 - 5*t**2 - 10*t**2 = 0.
0
Let d be 2 + 2 + (-33)/9. Let m(z) be the first derivative of 1/2*z**2 + d*z**3 - z - 1 - 1/4*z**4. Factor m(g).
-(g - 1)**2*(g + 1)
Let u(b) be the first derivative of b**7/2940 - b**6/1260 - b**5/210 - b**3/3 + 1. Let z(q) be the third derivative of u(q). Find x, given that z(x) = 0.
-1, 0, 2
What is d in -760/11*d - 194/11*d**3 + 400/11 + 556/11*d**2 + 32/11*d**4 - 2/11*d**5 = 0?
2, 5
Let w(h) be the third derivative of 0*h - 81/40*h**6 - 3/2*h**4 - 27/10*h**5 + 3*h**2 + 0 - 4/9*h**3. Suppose w(s) = 0. Calculate s.
-2/9
Let c(v) be the third derivative of v**5/420 + v**4/24 + 5*v**3/21 + 4*v**2 - v. Solve c(k) = 0 for k.
-5, -2
Let g = 16467/448 + -3/448. Let k(x) be the first derivative of 3 + 0*x - 28*x**3 + 6*x**2 + g*x**4. Let k(p) = 0. Calculate p.
0, 2/7
Let n be -1 - (21/4)/(-3). Let x be 6/(-27) - 20/(-9). Find v such that 9/4*v**3 + 0 + 9/4*v**x + n*v**4 + 3/4*v = 0.
-1, 0
Let f(q) = q + 1. Let h(r) = -2*r - 5 - 4*r**2 + 4*r**2 + r**2 - 7*r**3 + r**3. Let y(m) = -6*f(m) - h(m). Let y(k) = 0. Calculate k.
-1/2, -1/3, 1
Let u(o) = -o**3 + o**2 + 6. Let q be u(0). Let k(s) be the first derivative of 0*s - 1/15*s**5 + 0*s**3 - 1 + 1/18*s**q + 0*s**2 + 0*s**4. Factor k(r).
r**4*(r - 1)/3
Factor -3/2*z**2 + 0 + 0*z.
-3*z**2/2
Let 1/3*f**4 + 0*f**2 + 0 + 2/3*f**3 + 0*f = 0. Calculate f.
-2, 0
Let o = -698/7 + 100. Solve 6/7*b**4 - 2*b**2 - 2/7*b**5 + 0*b + 8/7 + o*b**3 = 0 for b.
-1, 1, 2
Let z(y) be the third derivative of -y**8/448 + y**7/420 + y**6/160 - y**5/120 + 16*y**2. Suppose z(q) = 0. What is q?
-1, 0, 2/3, 1
Suppose 12 = 2*v - 7*n + 2*n, -5*v + 5*n = 0. Let t = v + 7. Factor 4*f**3 - f**3 + 8*f**2 + 2*f + 5*f**t.
2*f*(2*f + 1)**2
Let j(w) be the first derivative of -w**5/5 - w - 4. Let a(r) = 5*r**4 - r**3 - r**2 + r + 4. Let x(l) = a(l) + 4*j(l). Solve x(y) = 0 for y.
-1, 0, 1
Let w(l) = -6*l**2 + 10*l - 8. Let a(m) = m + 1. Let d(r) = -4*a(r) - w(r). Factor d(c).
2*(c - 2)*(3*c - 1)
Let r(s) = -3 + 3 - 1. Let v(f) = f**2 - f + 1. Let h(x) = -x**2 + x - 2. Let w be h(0). Let y(k) = w*r(k) - 2*v(k). Let y(u) = 0. What is u?
0, 1
Let y(v) be the second derivative of v**5/210 - 4*v**3/21 + v**2/2 + 2*v. Let t(k) be the first derivative of y(k). Let t(n) = 0. Calculate n.
-2, 2
Let a(t) be the second derivative of -t**7/3780 - t**6/1080 + t**4/2 + 3*t. Let b(z) be the third derivative of a(z). Suppose b(n) = 0. Calculate n.
-1, 0
Suppose 14 = -3*s - 5*f - 0, -2*s - f = 0. Find v, given that 1 + 1/4*v**s - v = 0.
2
Let i(r) = r**2 - 7*r + 6. Let l be i(4). Let d = l - -6. Find x such that 0 + d*x**3 + 1/2*x**2 - 1/4*x**5 + 1/4*x - 1/2*x**4 = 0.
-1, 0, 1
Suppose -4*m = 5*u, -3*m + 6*m - 4*u = 0. Factor -3*g + m - 3/2*g**2.
-3*g*(g + 2)/2
Let h(k) be the third derivative of k**8/84 - 4*k**7/21 + 5*k**6/6 + 4*k**5/3 - 40*k**4/3 - 128*k**3/3 - 3*k**2. Factor h(l).
4*(l - 4)**3*(l + 1)**2
Let z(f) = f**3 - 23*f**2 + f - 21. Let n be z(23). Factor 1/3*r**n - 1/3*r**4 + 0 + 0*r + 1/3*r**5 - 1/3*r**3.
r**2*(r - 1)**2*(r + 1)/3
Suppose -3*r + 2 = -1. Suppose 2*b - r = 11. Factor 1 + 1 + w**3 + 7*w - b*w + 4*w + 4*w**2.
(w + 1)**2*(w + 2)
Let x(h) = h**4 + h**3 + h. Let m(z) = -6*z**3 - z**2 + 4*z**2 - 6*z**2. Let d(j) = -m(j) - 3*x(j). What is t in d(t) = 0?
-1, 0, 1
Let r(y) be the second derivative of -y**5/40 - y**4/4 - 3*y**3/4 - y**2 + 45*y. Determine t, given that r(t) = 0.
-4, -1
Let f(c) be the first derivative of 3/10*c**2 + 2/5*c + 2 + 1/15*c**3. Find z, given that f(z) = 0.
-2, -1
Let q(y) be the first derivative of y**3/15 + y**2/10 - 2*y/5 + 3. Factor q(i).
(i - 1)*(i + 2)/5
Let w = 4 + 0. Suppose 13*i + 6 + 15*i**2 - w*i + 12*i = 0. What is i?
-1, -2/5
Suppose 3*j - 6 = 0, -4*j = 4*z - 27 + 3. Suppose -4*m = -7*m + 2*f, 0 = -4*f. Find d, given that 0 + d**3 + m - d**z + d**2 - d**5 = 0.
-1, 0, 1
Suppose 5*c = 5*q - 19 - 21, 3*q + 11 = -4*c. Determine k, given that 5*k**2 + k - 9*k**4 + 3*k**3 + 7 - q - 4 = 0.
-1/3, 0, 1
Let x(w) be the first derivative of -w**6/10 + 3*w**4/4 + w**3 - w + 1. Let p(r) be the first derivative of x(r). Suppose p(m) = 0. Calculate m.
-1, 0, 2
Let z = 104 - 98. Let r(w) be the third derivative of -1/360*w**5 + 0*w**4 + w**2 + 0*w + 0 + 0*w**3 - 1/720*w**z. Suppose r(a) = 0. Calculate a.
-1, 0
Suppose 2*r + 0*r + 7 = -5*o, 0 = -2*r - 4*o - 4. Let n = -6 + 8. Suppose 0 + 2/5*j**n - 4/5*j**3 + 2/5*j**r + 0*j = 0. Calculate j.
0, 1
Suppose 5*l + 2*n + 2*n - 71 = 0, 4*n = -2*l + 38. Let c = 15 - l. Factor -6*a**3 + 5*a**2 - 14*a + 3*a**2 + 8*a**2 + c.
-2*(a - 1)**2*(3*a - 2)
Let t(s) be the second derivative of -s**7/1260 + s**6/270 - s**5/135 + s**4/3 + 3*s. Let x(o) be the third derivative of t(o). Factor x(l).
-2*(3*l - 2)**2/9
Let w(k) be the third derivative of -k**8/20160 + k**7/2520 - k**5/15 + 3*k**2. Let m(x) be the third derivative of w(x). Solve m(g) = 0 for g.
0, 2
Find c, given that 0*c**3 - 1/