1*n + 12 = -18*n. Solve -r**n + 1/2*r - 1/2*r**5 + 0*r**3 + 0 + r**2 = 0 for r.
-1, 0, 1
Let z(k) be the first derivative of 0*k**3 + 0*k**5 - 3 - 1/15*k**6 + 0*k**2 + 0*k + 0*k**4. Determine p, given that z(p) = 0.
0
Factor -2*l**5 + 6*l**3 - 4*l**2 - 58*l**4 + 58*l**4.
-2*l**2*(l - 1)**2*(l + 2)
Let c be (40/15 - (2 - -1))*0. Let h(n) be the first derivative of c*n - 2 - 1/15*n**3 + 1/10*n**2. Factor h(g).
-g*(g - 1)/5
Let k(p) be the first derivative of p**5/20 + 5*p**4/16 + 7*p**3/12 + 3*p**2/8 + 12. Suppose k(r) = 0. What is r?
-3, -1, 0
Let o(j) = j - 2. Let s be o(2). Suppose -2*b + 5*u - 10 = 0, s*b + 5*b + 2*u - 4 = 0. Factor b - 1/4*g**4 - 1/4*g**5 + 0*g**2 + 0*g**3 + 0*g.
-g**4*(g + 1)/4
Let n be 12/18*(-1)/(-2). Factor -2/3*y**2 + 0 - n*y - 1/3*y**3.
-y*(y + 1)**2/3
Let f = -48 + 48. Let m(a) be the third derivative of 0 + 0*a**3 - 3*a**2 + 0*a + 1/210*a**5 + f*a**4. Determine l so that m(l) = 0.
0
Suppose 0*i - 5*u = -4*i - 9, -u + 13 = 2*i. Suppose i*z = -z. Factor 0*q**3 + 0 + z*q + 1/5*q**4 - 1/5*q**2.
q**2*(q - 1)*(q + 1)/5
Let w(g) = -g**2 + 2*g + 2. Let x be w(3). Let p(b) = -b**2 + b. Let o(v) = -7*v - v**3 + 0*v**3 + v + v**2. Let c(m) = x*o(m) - 4*p(m). Factor c(a).
a*(a + 1)*(a + 2)
Factor -3*v**3 + 3 - 15*v**2 + 0*v**2 + 9*v - 12*v**2 + 18*v**3.
3*(v - 1)**2*(5*v + 1)
Let u be 60/9 + 10/15. Let k(w) be the first derivative of -32/7*w**2 + 8/7*w + u*w**3 - 7/2*w**4 - 2. Factor k(y).
-2*(y - 1)*(7*y - 2)**2/7
Factor 2 - 3*s**2 + 6*s**2 - 23 - 24*s - 6.
3*(s - 9)*(s + 1)
Let i(h) be the first derivative of -4/5*h**5 - 4*h - 8*h**2 - 4*h**4 - 1 - 8*h**3. Determine t so that i(t) = 0.
-1
Find r, given that 30/7*r - 2/7*r**2 - 4 = 0.
1, 14
Let c(r) be the third derivative of -r**5/105 + 4*r**4/21 - 32*r**3/21 + 17*r**2. Factor c(k).
-4*(k - 4)**2/7
Let i = -4 - -9. Let f(s) be the third derivative of -1/252*s**8 - s**2 - 1/9*s**3 + 0 + 1/45*s**7 - 2/45*s**6 + 1/18*s**4 + 1/45*s**i + 0*s. Factor f(q).
-2*(q - 1)**4*(2*q + 1)/3
Let o(i) be the third derivative of i**6/24 - i**5/3 + 25*i**4/24 - 5*i**3/3 + 12*i**2. Factor o(p).
5*(p - 2)*(p - 1)**2
Factor 16/3*i**2 + 10/3*i**3 + 8/3*i + 0 + 2/3*i**4.
2*i*(i + 1)*(i + 2)**2/3
Solve 2/5 - 2/5*c**2 + 0*c = 0 for c.
-1, 1
Let n be (777/(-28))/(1/(-1)). Let a = 28 - n. Factor 1/4*k - 1/4*k**3 + 1/4 - a*k**2.
-(k - 1)*(k + 1)**2/4
Let u(o) = -o**4 + 3*o**3 - 14*o**2 + 6*o + 3. Let d(b) = b**4 - 2*b**3 + 15*b**2 - 6*b - 4. Let w(x) = -3*d(x) - 4*u(x). Factor w(f).
f*(f - 3)*(f - 2)*(f - 1)
Let x(w) be the first derivative of 2*w**6/3 + 12*w**5/5 - w**4 - 4*w**3 + 21. Factor x(j).
4*j**2*(j - 1)*(j + 1)*(j + 3)
Let v = -1/85 - -343/255. What is a in 16/3*a**3 - v*a - 2/3*a**2 - 10/3*a**4 + 0 = 0?
-2/5, 0, 1
Suppose v = 2*v - 4. Let -6*i**3 + 10*i**2 - 4*i**v + 2*i**4 - 3*i - i + 2*i**5 + 0*i**5 = 0. Calculate i.
-2, 0, 1
Suppose -8 + 0 = -4*t. Let -8/5 - 12/5*n - 4/5*n**t = 0. Calculate n.
-2, -1
Let s(h) be the third derivative of -1/735*h**7 + 0*h**3 + h**2 - 1/420*h**6 + 1/105*h**5 + 0*h + 0 + 0*h**4. Let s(g) = 0. Calculate g.
-2, 0, 1
Suppose -10 = 7*t - 24. Let w(j) be the second derivative of -1/4*j**t - j - 1/24*j**4 - 1/6*j**3 + 0. Factor w(v).
-(v + 1)**2/2
Factor 3*g**2 + g**3 + g + 4*g**2 - 5*g**2.
g*(g + 1)**2
Let y be (-27)/(-20) - (-1 - 12/(-16)). Factor 2/5*v**3 - y*v**2 + 0 + 8/5*v.
2*v*(v - 2)**2/5
Let j = 20 - 18. Let l(g) be the second derivative of 1/105*g**6 + 1/70*g**5 - 2*g + 0*g**j - 1/42*g**4 - 1/21*g**3 + 0. Let l(i) = 0. Calculate i.
-1, 0, 1
Let q(p) be the third derivative of -1/600*p**6 - 5*p**2 + 0*p + 0*p**3 + 0*p**4 + 1/300*p**5 + 0. Factor q(s).
-s**2*(s - 1)/5
Factor 2/9*j**2 + 8/9*j + 8/9.
2*(j + 2)**2/9
Suppose f + 4*f - 25 = 0, -4*g + 33 = 5*f. Determine u so that -1/2 + u - 1/2*u**g = 0.
1
Factor -4/7*u**3 + 0*u**2 + 0*u + 8/7*u**4 + 0 - 4/7*u**5.
-4*u**3*(u - 1)**2/7
Let p(d) be the third derivative of -1/240*d**6 - 1/420*d**7 + 0*d**4 + 0 + 0*d**5 + d**2 + 0*d + 0*d**3. Determine m so that p(m) = 0.
-1, 0
Factor 7*r**4 - 5*r**4 + 5*r - 5*r + 2*r**5.
2*r**4*(r + 1)
Let s(h) = -7*h**3 - 5*h**2 - 10. Let r(p) = -3*p**3 - 3*p**2 - 4. Let w(n) = -5*r(n) + 2*s(n). Suppose w(m) = 0. Calculate m.
-5, 0
Let z(c) be the third derivative of -5*c**2 - 1/105*c**5 + 0 + 0*c**3 + 1/420*c**6 + 1/84*c**4 + 0*c. Factor z(u).
2*u*(u - 1)**2/7
Suppose 72 = 2*s + 2*s. Factor 5*g + 2*g**2 + s*g - 10*g**2 - 5*g - 4.
-2*(g - 2)*(4*g - 1)
Let l(a) = a - 2. Let r be l(7). Factor -3*f + 1 + 3*f**3 + f + r*f**2 - 1.
f*(f + 2)*(3*f - 1)
Let w(d) be the third derivative of -d**6/480 + d**5/240 - 18*d**2. Factor w(y).
-y**2*(y - 1)/4
Factor -3*c + 6 - 2 - 3*c + 2*c**3.
2*(c - 1)**2*(c + 2)
Let k = 16 - 14. Let i(f) = 5*f**3 + 7*f**2 + 11*f + 1. Let l(u) = u**3 - u**2 + u - 1. Let v(j) = k*l(j) - i(j). Factor v(z).
-3*(z + 1)**3
Let q(w) be the first derivative of w**4/4 + w**3/2 - 3*w**2 + 4*w + 4. Let o(y) be the first derivative of q(y). Determine a so that o(a) = 0.
-2, 1
Factor -13 - 30*m**2 + 3*m**5 + 1 + 6*m**2 + 6*m**4 - 21*m - 6*m**3 + 6.
3*(m - 2)*(m + 1)**4
Let w = 1537/24 + -64. Let j(s) be the third derivative of 0 + 0*s - 1/3*s**3 + 1/60*s**5 + w*s**4 - 2*s**2. Factor j(u).
(u - 1)*(u + 2)
Let l(v) be the second derivative of 5*v**7/294 + v**6/30 - 3*v**5/140 - v**4/12 - v**3/21 - 25*v. Suppose l(b) = 0. What is b?
-1, -2/5, 0, 1
Let y be (20/12)/((-5)/(-6)). Let q be -5*(30/(-4))/3. Solve -2 - q*h**3 - 45/2*h**y - 12*h = 0 for h.
-1, -2/5
What is d in -d**2 - 9/4 + 3*d = 0?
3/2
Let a(u) be the third derivative of u**6/156 - u**5/30 + u**4/39 + 4*u**3/39 - 12*u**2. Determine g so that a(g) = 0.
-2/5, 1, 2
Let x = -25 + 23. Let k be (6 + x)*(-4)/(-32). Factor 1/2*m**4 + k*m + 1/2 - m**3 - m**2 + 1/2*m**5.
(m - 1)**2*(m + 1)**3/2
Find b such that -4*b - 4*b**2 + 28*b**3 - 24*b**3 + 2*b**4 + 2*b**4 = 0.
-1, 0, 1
Let y(s) be the second derivative of 0*s**2 + 4/21*s**4 - 8/21*s**6 - 3/35*s**5 - 25/147*s**7 - 1/21*s**3 - 2*s + 0. Let y(b) = 0. What is b?
-1, 0, 1/5
Suppose 4*n + 5*h - 69 = 0, n + 31 = 2*n + 4*h. Let r(k) = -k + 15. Let t be r(n). Let -4*a**3 + a**3 + 4*a**3 - 5*a**5 + t*a**5 = 0. Calculate a.
-1, 0, 1
Let r(j) = -5*j**5 + 18*j**4 - 4*j**3 - 13*j**2 + 9*j - 5. Let b = 5 + -6. Let q(c) = c**5 + c**2 - c - 1. Let o(h) = b*r(h) + 3*q(h). Factor o(i).
2*(i - 1)**3*(i + 1)*(4*i - 1)
Let k(z) = z**3 - 4*z**2 + 4*z - 3. Let t be k(3). Determine u, given that -u**3 + t*u + 1/3*u**2 - 1/3*u**5 + 0 + u**4 = 0.
0, 1
Suppose 5*u = -2*v + 30, 35 = 2*v + v + 5*u. Suppose v*c = c. Determine p, given that -10/9*p**4 + c + 0*p**2 - 2/9*p**3 - 8/9*p**5 + 0*p = 0.
-1, -1/4, 0
Let i(x) be the first derivative of x**6/27 - 2*x**5/15 + x**4/6 - 2*x**3/27 + 5. Factor i(u).
2*u**2*(u - 1)**3/9
Let x = -19 - -19. Factor -4/3*m**3 - 4/3*m**2 + 0 + x*m - 1/3*m**4.
-m**2*(m + 2)**2/3
Let l(y) be the first derivative of -y**8/2520 + y**6/270 - y**4/36 - 7*y**3/3 + 1. Let w(k) be the third derivative of l(k). Find t, given that w(t) = 0.
-1, 1
Let y = -7 + 10. Solve 49*r**y - 8 - 4 + 21*r**2 + 16 - 24*r = 0 for r.
-1, 2/7
Factor 0 - 5*f - 5/2*f**2 + 5/2*f**3.
5*f*(f - 2)*(f + 1)/2
What is y in -1/7*y**2 - 9/7*y - 9/7*y**4 + 3*y**3 - 2/7 = 0?
-1/3, 1, 2
Find v, given that 3*v**2 - 33/4*v + 9/2 + 3/4*v**3 = 0.
-6, 1
Let p(f) = -2*f**2 + 1. Let o(m) = -13*m**2 + 3*m + 10. Let s(i) = -o(i) + 6*p(i). Factor s(y).
(y - 4)*(y + 1)
Let g = 47 + -375/8. Let u(a) be the second derivative of -5/24*a**3 - 2*a + 3/16*a**4 + 1/60*a**6 + g*a**2 + 0 - 7/80*a**5. Factor u(x).
(x - 1)**3*(2*x - 1)/4
Let k(b) be the first derivative of -1/25*b**5 + 3/20*b**4 + 3 + 1/10*b**2 - 1/5*b**3 + 0*b. Let k(p) = 0. Calculate p.
0, 1
Let c(z) be the second derivative of -1/90*z**6 + 0 - 2/9*z**3 - 1/6*z**4 + z + 1/12*z**5 + 4/3*z**2. What is l in c(l) = 0?
-1, 2
Let s = 16 - 22. Let t(r) = -7*r**3 - 2*r**2 - 11*r - 4. Let w(m) = -13*m**3 - 3*m**2 - 21*m - 7. Let a(b) = s*w(b) + 11*t(b). Factor a(f).
(f - 2)*(f - 1)**2
Solve -93*a**2 - 20 - 168*a**2 + 90*a**2 - 7*a**4 + 86*a**3 + 112*a = 0 for a.
2/7, 1, 10
Let h(f) be the second derivative of -f**4/3 + 8*f**2 + 5*f. Factor h(w).
-4*(w - 2)*(w + 2)
Let i(x) = x - 13 + 1 - 3*x. Let q be i(-9). Let o**2 + 3*o + 2*o**2 - q*o - 3*o = 0. What is o?
0, 2
Find w, g