. Let c be k(14). Find z such that 50*z**4 + 16*z**2 + 0*z - 18*z - 120*z**3 + c*z**3 + 62*z**2 = 0.
0, 3/5, 1
Factor -97/5*b**3 - 1/5*b**5 + 0 - 18/5*b**4 - 144/5*b**2 - 64/5*b.
-b*(b + 1)**2*(b + 8)**2/5
Let x(w) = w**2 - 12*w - 25. Let o be x(14). Determine y so that 0 - 7/4*y**4 + 3/4*y**2 - 3/4*y**o - 3/4*y**5 + 1/2*y = 0.
-1, 0, 2/3
Let s = 7241/3 - 2447. Let m = s - -34. Let 0 - m*k**2 + 0*k = 0. Calculate k.
0
Let m = 97/3 + -32. Find a such that -m*a + 1/3*a**2 - 2/3 = 0.
-1, 2
Let r(c) be the first derivative of -4*c**6/27 - 2*c**5/45 + 4*c**4/9 + 4*c**3/27 - 4*c**2/9 - 2*c/9 - 34. Find q, given that r(q) = 0.
-1, -1/4, 1
Let a = 57/2 + -28. Let k(y) be the first derivative of -1/4*y**4 - a*y**2 + 0*y - 2/3*y**3 - 1. Factor k(u).
-u*(u + 1)**2
Let i = 46/5 + -44/5. Let 9/5*y**3 - 9/5*y - 2/5*y**2 + i = 0. Calculate y.
-1, 2/9, 1
Let n(o) be the second derivative of -1/36*o**7 + 0*o**2 + 1/36*o**6 + 3/40*o**5 - o - 5/72*o**4 + 0 - 1/18*o**3. Solve n(l) = 0.
-1, -2/7, 0, 1
Factor -2/5*s**4 - 2*s**3 + 2/5*s**5 + 0*s + 0 - 6/5*s**2.
2*s**2*(s - 3)*(s + 1)**2/5
Let n = -54/7 - -331/42. Let t(h) be the second derivative of -4*h + 0*h**2 + 1/5*h**5 + 0*h**3 - n*h**4 - 1/15*h**6 + 0. Factor t(z).
-2*z**2*(z - 1)**2
Let h(f) be the second derivative of -f**6/120 - f**5/36 - f**4/36 + f**2/2 + f. Let j(y) be the first derivative of h(y). Let j(a) = 0. Calculate a.
-1, -2/3, 0
Factor -8 - 2 - 5*k + 11*k**2 - 6*k**2.
5*(k - 2)*(k + 1)
Suppose -170*l**2 - 3*l**3 + 88*l**2 + 83*l**2 = 0. What is l?
0, 1/3
Let d(o) = -o**2 + 29*o - 23. Let g(w) = 3*w**2 - 72*w + 57. Let a(c) = -12*d(c) - 5*g(c). Determine t so that a(t) = 0.
1, 3
Let m(x) be the first derivative of x**6/12 + 3*x**5/10 + 3*x**4/8 + x**3/6 - 3. Factor m(r).
r**2*(r + 1)**3/2
Let i(n) = -42*n**2 + 77*n - 25. Let u(a) = 21*a**2 - 38*a + 13. Let p(g) = 2*i(g) + 5*u(g). What is c in p(c) = 0?
5/7, 1
Let s(c) = -4*c**4 - 6*c**3 + 5*c + 5. Let v(w) = 16*w**4 - 21*w - 21 + 24*w**3 + 8*w**4 - 9*w**4. Let h(m) = 21*s(m) + 5*v(m). Factor h(p).
-3*p**3*(3*p + 2)
Let v(d) be the first derivative of -5*d**4/4 + 20*d**3/3 + 5*d**2/2 - 20*d - 40. Determine n so that v(n) = 0.
-1, 1, 4
Let y(n) be the third derivative of 4*n**6/105 + 4*n**5/105 - n**4/12 + n**3/21 - 4*n**2. Factor y(q).
2*(q + 1)*(4*q - 1)**2/7
Let f = -182 - -914/5. Let 14/5*z**2 + 2*z - f = 0. Calculate z.
-1, 2/7
Let o(i) be the third derivative of -i**8/16800 - i**7/12600 + i**6/900 + i**5/12 - i**2. Let q(j) be the third derivative of o(j). Solve q(s) = 0 for s.
-1, 2/3
Suppose -1601*i = -1607*i + 12. Factor -u - 3/5*u**i - 2/5.
-(u + 1)*(3*u + 2)/5
Let s = 24 - 15. Let l = s - 9. Factor -1/2 + 1/2*x**2 + l*x.
(x - 1)*(x + 1)/2
Let 1/2*c - 1/2*c**4 - 3/2*c**2 + 0 + 3/2*c**3 = 0. Calculate c.
0, 1
Let y = 476/3 + -158. Factor 2/3*b**3 + 0*b**2 + 0*b**4 + 0 - y*b**5 + 0*b.
-2*b**3*(b - 1)*(b + 1)/3
Let u be (-2523)/8694 - (-3)/6. Let m = 2/161 + u. Solve 0*t - 2/9*t**2 + m = 0 for t.
-1, 1
Let q be (-1 + -1)/(-1 - 0). Solve 5*t - t**2 + 2*t**4 - t**q + 2*t**5 - t**5 - 6*t = 0 for t.
-1, 0, 1
Suppose 2/3*a**4 - 4/3*a**2 + 2/3 + 0*a + 0*a**3 = 0. What is a?
-1, 1
Suppose 5*r - f - 52 + 15 = 0, -4*f = -4*r + 36. Factor -29*h + 6*h + 24*h**2 - 11*h**4 - 9*h + r*h**4 + 12.
-4*(h - 1)**3*(h + 3)
Suppose -2*v + 3 = -0*v + 3*i, -3*v + 4*i + 13 = 0. Suppose -6 + 0*j + v*j + 2*j**3 + 11*j - 10*j**2 = 0. What is j?
1, 3
Suppose 0 = x + x. Suppose x = -3*q + 10 + 2. What is w in 40/7*w**3 + 4/7*w + 0 + 26/7*w**2 + 18/7*w**q = 0?
-1, -2/9, 0
Suppose 0 = 4*l - 2*y - 6 - 6, -2*l - 3*y - 2 = 0. Factor r - 1/8*r**2 - l.
-(r - 4)**2/8
Determine x so that -8/3 - 2/3*x**2 - 8/3*x = 0.
-2
Let f = -19 - -21. Suppose 3*c + 12 = -5*o, 0 = -2*o - 4*c - 0*c - 16. Factor o + q**f - 1/4*q.
q*(4*q - 1)/4
Let w(k) be the second derivative of 5*k**5/12 + 5*k**4/12 - 4*k**3/3 - 8*k**2/3 + 8*k. Let w(u) = 0. Calculate u.
-4/5, 1
Let q(p) be the third derivative of p**7/1470 - p**6/210 + p**5/140 + p**4/42 - 2*p**3/21 - 13*p**2. Factor q(b).
(b - 2)**2*(b - 1)*(b + 1)/7
Let d(q) be the third derivative of -q**6/160 - q**5/40 - q**4/32 + q**2 + 10. Factor d(t).
-3*t*(t + 1)**2/4
Let a(o) = o**2 - 4*o. Let q be a(4). Let b(p) be the second derivative of -p + 0*p**6 + q*p**4 - 1/3*p**3 - 1/21*p**7 + 0*p**2 + 0 + 1/5*p**5. Factor b(r).
-2*r*(r - 1)**2*(r + 1)**2
Suppose -2*q + q = -4. Let h(t) be the first derivative of -28/33*t**3 + t**2 - 7/33*t**6 - 4/11*t + 2 - 2/11*t**q + 32/55*t**5. Let h(r) = 0. What is r?
-1, 2/7, 1
Let z(c) = 45*c**3 + 12*c**2 - 45*c - 3. Let a(p) = 7*p**3 - 9*p - 6*p**3 + 3*p**2 - 2*p + 10*p**3 - 1. Let m(h) = -9*a(h) + 2*z(h). Factor m(u).
-3*(u - 1)*(u + 1)*(3*u + 1)
Find b, given that -1/7*b**2 + 1/7*b**4 + 0 + 0*b**3 + 0*b = 0.
-1, 0, 1
Let x(i) = i**2 + 6*i + 5. Let p(w) = -3*w**2 - 17*w - 14. Let m(t) = 6*p(t) + 17*x(t). Determine j, given that m(j) = 0.
-1, 1
Let c(a) = -2*a**3 - 2*a**2 + 3*a**3 + 4*a**2 + 2 + 0. Let v be c(-2). Let 0 - 1/2*i**5 + 1/2*i + i**v - i**4 + 0*i**3 = 0. Calculate i.
-1, 0, 1
Let h(t) be the second derivative of -7*t**9/8640 - 11*t**8/3840 - t**7/315 - t**6/720 + t**4/12 - t. Let u(v) be the third derivative of h(v). Factor u(z).
-z*(z + 1)*(7*z + 2)**2/4
Suppose 85*z = 70*z + 30. Factor 0*p**z + 0 - 2/7*p**3 + 0*p.
-2*p**3/7
Suppose -63 = -g - 20*g. Factor 3/2*u**5 + 0 + 0*u + 0*u**g - 3/2*u**4 + 0*u**2.
3*u**4*(u - 1)/2
Factor 0 - 1/4*i**2 + 0*i.
-i**2/4
Let y(p) be the first derivative of 8/3*p + 6 + 0*p**2 - 2/3*p**3 - 1/6*p**4. Factor y(s).
-2*(s - 1)*(s + 2)**2/3
Let v(h) be the third derivative of h**8/20160 + h**7/2520 + h**6/720 + h**5/60 + 4*h**2. Let t(x) be the third derivative of v(x). Factor t(z).
(z + 1)**2
Let z(l) = l - 1. Let k(j) = 3*j**2 - j + 10. Let v(b) = -k(b) - 2*z(b). Let r(o) = 6*o**2 + 3*o + 15. Let t(y) = 6*r(y) + 11*v(y). Factor t(w).
(w + 2)*(3*w + 1)
Let p(s) be the first derivative of 5*s**3/3 - 5*s**2/2 - 10*s - 13. Determine i, given that p(i) = 0.
-1, 2
Factor 0 + 2*a**2 + 3 - 1 - 4*a.
2*(a - 1)**2
Let z(m) be the first derivative of -5/7*m**2 + 5/7*m**4 - 4/7*m - 4/35*m**5 - 5/21*m**6 + 8/21*m**3 - 1. Let z(h) = 0. What is h?
-1, -2/5, 1
Let q(i) be the second derivative of 0*i**2 + 3*i + 0 + 1/15*i**3 + 1/30*i**4. Suppose q(u) = 0. Calculate u.
-1, 0
Let t(a) be the second derivative of -1/15*a**4 + 0 + 0*a**2 + 4/75*a**6 - a + 7/50*a**5 + 0*a**3. Factor t(u).
2*u**2*(u + 2)*(4*u - 1)/5
Suppose 3*o - 5*o + 4 = 0. Factor -2*s**3 - 7*s + 12*s**2 - s**2 - 3*s**3 + 2 + s**4 - o*s**2.
(s - 2)*(s - 1)**3
Let c(j) be the first derivative of -j**6/2 + 3*j**5/5 + 9*j**4/4 - 5*j**3 + 3*j**2 - 2. Determine m so that c(m) = 0.
-2, 0, 1
Suppose -4*f + 11 + 13 = 0. Factor r + f*r - 4*r**3 + 2*r + 6 + r**3.
-3*(r - 2)*(r + 1)**2
Let p(i) be the second derivative of -i**4/54 - i**3/27 + 6*i. Factor p(r).
-2*r*(r + 1)/9
Find r, given that -2/11*r**2 + 0*r + 2/11*r**4 + 0 + 0*r**3 = 0.
-1, 0, 1
Suppose -3*y - 2*t = -16, 7*y - 30 = 2*y - 4*t. Let g(u) be the first derivative of y + 3/2*u**2 + 3/5*u**5 + 9/4*u**4 + 0*u + 3*u**3. Factor g(p).
3*p*(p + 1)**3
Let n(u) = -2*u**2 + 2*u**2 - 3*u + u**2. Let x(c) = c + 1. Let w(o) = -3*n(o) - 3*x(o). Solve w(r) = 0.
1
Suppose -21*o**2 + 9*o**4 + 9*o - 5*o**3 - 6*o**3 - 10*o**3 = 0. Calculate o.
-1, 0, 1/3, 3
Let y = -1 - -8. Find f such that 6*f + y*f**3 - 7*f**2 + 5*f**3 + 22*f**2 + 3*f**4 = 0.
-2, -1, 0
Let q(w) be the first derivative of 25*w**6/3 - 22*w**5 + 19*w**4/2 + 46*w**3/3 - 8*w**2 - 8*w - 7. Factor q(b).
2*(b - 1)**3*(5*b + 2)**2
Let y(s) be the first derivative of -s**5/30 - s**4/12 + 5*s**2/2 - 5. Let k(x) be the second derivative of y(x). Factor k(t).
-2*t*(t + 1)
Suppose 0 = -2*k - 0 + 6. Let v be (-4)/3*k/(-14). Let 2/7*y**5 + 2/7*y - 4/7*y**2 + 2/7 + v*y**4 - 4/7*y**3 = 0. What is y?
-1, 1
Let i = -4 - -6. Let o(n) be the second derivative of -1/3*n**3 + i*n - 1/2*n**4 + 0*n**2 + 0. Suppose o(q) = 0. Calculate q.
-1/3, 0
Suppose -2*i - 5 = -21. Let x = i - 6. Factor x*u**3 + 2/3*u + 0 + 2*u**2 + 2/3*u**4.
2*u*(u + 1)**3/3
Solve -386*g**2 - 10*g - 2*g + 390*g**2 = 0 for g.
0, 3
Let l(r) be the third derivative of -r**10/10080 + r**9/5040 - r**4/3 + 4*r**2. Let q(p) be the second derivative of l(p). Solve q(n) = 0 for n.
0, 1