**4. Find x, given that q(x) = 0.
-1, -1/4, 0
Suppose -4*z - m = -0*m - 11, 2*m = 4*z - 14. Find s, given that -1/6*s**4 + 1/6*s**z - 1/3 + 1/2*s**2 - 1/6*s = 0.
-1, 1, 2
Let s(h) be the second derivative of 22*h + 3/5*h**2 - 3/20*h**4 - 21/100*h**5 - 3/50*h**6 + 3/10*h**3 + 0. Let s(g) = 0. Calculate g.
-1, 2/3
Let j(i) be the third derivative of -2*i**7/105 + 7*i**6/30 - 6*i**5/5 + 10*i**4/3 - 16*i**3/3 - 221*i**2. Factor j(t).
-4*(t - 2)**3*(t - 1)
Let q(l) be the second derivative of -1/4*l**4 - 7/80*l**5 + 0 - 1/8*l**3 + 1/4*l**2 + 7*l. Factor q(i).
-(i + 1)**2*(7*i - 2)/4
Factor -176/9*i**2 + 4 - 2*i**3 - 122/9*i.
-2*(i + 1)*(i + 9)*(9*i - 2)/9
Let u(y) be the second derivative of -y**4/54 + 5*y**3/9 - 26*y**2/9 + 638*y. Factor u(l).
-2*(l - 13)*(l - 2)/9
Let -22/5 - 46/5*a - 4/5*a**2 = 0. What is a?
-11, -1/2
Let o be (-4)/14*-28*1/2. Let p(z) be the third derivative of 1/60*z**5 + 2*z**2 - 1/120*z**6 - 1/6*z**3 + 1/24*z**o + 0*z + 0. What is k in p(k) = 0?
-1, 1
Let c(n) = 38*n**3 - 36*n**2 + 10*n + 8. Let b(k) = k**3 + k**2 + k + 1. Let z(h) = 4*b(h) - c(h). Let w(d) = -d**3 - d. Let l(o) = 2*w(o) - z(o). Factor l(r).
4*(r - 1)*(2*r - 1)*(4*r + 1)
Solve 80/3*p**2 + 4/3*p**3 - 968/3 + 308/3*p = 0.
-11, 2
Let o(q) = q**2 + q + 1. Let k(t) = 5*t**4 - 15*t**3 - 35*t**2 - 15*t + 10. Let g(d) = -k(d) + 10*o(d). Factor g(h).
-5*h*(h - 5)*(h + 1)**2
Let v = -5744959/157180 - -3/15718. Let w = -143/4 - v. What is r in -w*r + 6/5 - 2/5*r**2 = 0?
-3, 1
Let r(b) = b**2 - 4*b - 7. Let g be r(6). Suppose -12 = 4*u + g*d, -2*u - 5*d - 18 = -u. Factor i - u*i - 2*i**2 - 7*i + 2 + 8*i**3.
2*(i - 1)*(i + 1)*(4*i - 1)
Let s be 17 - (5 - 3/1). Find l such that s*l**3 - 2*l**5 + 10*l**2 - 11*l - 3*l**5 + 11*l = 0.
-1, 0, 2
Suppose -2*s = -8, 4*s + 67 = 2*d + 15. Let x(a) = -5*a**2 + 19*a + 7. Let w(g) = g**2 - 3*g - 1. Let t(k) = d*w(k) + 6*x(k). Factor t(p).
4*(p + 1)*(p + 2)
Let o be (2/8)/((-7)/(-8)). Let b be 6/10 + 15*(-1)/25. Factor b - o*j**2 - 2/7*j.
-2*j*(j + 1)/7
Suppose -2*i = -5*i - 3*j + 18, 20 = 4*i + 3*j. Factor 4*q**3 - 2*q**2 + 3*q**4 + i*q - 14*q - 3*q**4 + 9 + q**4.
(q - 1)**2*(q + 3)**2
Let d(k) be the third derivative of 19*k**7/1050 - 41*k**6/600 + k**5/12 - k**4/40 - 337*k**2 - k. Factor d(u).
u*(u - 1)**2*(19*u - 3)/5
Suppose 2*l + 1 - 29 = 2*j, 4*j + 26 = l. Solve 5 - l*q + 7*q**2 - 6*q**2 + 4*q = 0 for q.
1, 5
Let 267*i**2 + 4*i**3 + 79*i**2 + 90*i**2 + 3*i**3 - 3*i**3 = 0. Calculate i.
-109, 0
Factor -8/5*o - 2*o**2 + 0 - 2/5*o**3.
-2*o*(o + 1)*(o + 4)/5
Let 12/5*f**4 - 8/5 - 44/5*f**3 + 44/5*f**2 - 4/5*f = 0. What is f?
-1/3, 1, 2
Suppose 0 = 5*c - 2*c + 15. Let k be c*8/(-30) + -1. Suppose 2/3*v + 1/3*v**4 - 2/3*v**3 - k + 0*v**2 = 0. Calculate v.
-1, 1
Let o be 19 - (-8)/(-256)*596. Suppose -1/8*h**2 - o*h + 5/4 = 0. What is h?
-5, 2
Let a(h) = -2*h**2 - 80*h - 788. Let l be a(-18). Factor 0 + 0*u - 2/11*u**3 + 0*u**2 + 2/11*u**l.
2*u**3*(u - 1)/11
Let s(n) be the first derivative of 0*n**2 + 0*n + 48 - 1/2*n**4 - 2*n**3. Factor s(l).
-2*l**2*(l + 3)
Let z be (-3 + (-3 - -5))*0/(-4). Let q(u) be the second derivative of 1/60*u**4 + 0 + 0*u**5 + 2*u - 1/150*u**6 + z*u**2 + 0*u**3. Factor q(p).
-p**2*(p - 1)*(p + 1)/5
Let a(u) be the first derivative of -12 + u**2 - 2/15*u**3 - 8/5*u. Factor a(q).
-2*(q - 4)*(q - 1)/5
Solve -17*n**5 + 7*n**4 + 8*n + 25*n**5 - 12*n**5 - 39*n**4 - 72*n**3 + 100*n = 0 for n.
-3, 0, 1
Let u(y) be the second derivative of -5*y**5/4 - 5*y**4/36 + 10*y**3/3 + 10*y**2/3 + y - 45. Suppose u(a) = 0. Calculate a.
-2/3, -2/5, 1
Let l(w) be the first derivative of -3*w**4/4 - 2*w**3 - 3*w**2/2 - 400. Factor l(n).
-3*n*(n + 1)**2
Factor 190/11*b**2 - 386/11*b + 2/11*b**3 + 194/11.
2*(b - 1)**2*(b + 97)/11
Let o(w) be the second derivative of w**7/11340 + w**6/3240 + w**4 + 15*w. Let a(n) be the third derivative of o(n). Find u such that a(u) = 0.
-1, 0
Let r = 193 - 179. Suppose 0 = r*n - 8*n. Factor 1/2 + 1/4*b**3 - 3/4*b + n*b**2.
(b - 1)**2*(b + 2)/4
Let q(b) be the first derivative of b**6/360 + b**5/20 + 3*b**4/8 + 8*b**3/3 - 1. Let n(p) be the third derivative of q(p). Factor n(h).
(h + 3)**2
Let d(g) be the first derivative of -g**4/12 - 2*g**3/9 + g**2/6 + 2*g/3 + 6. Let d(t) = 0. Calculate t.
-2, -1, 1
Let a(l) be the third derivative of l**5/360 - 37*l**4/36 + 1369*l**3/9 + 3*l**2 + 49. What is v in a(v) = 0?
74
Suppose -3*o - 27 = -4*q, 3*q - 3*o = 6*q - 15. Let w be (-15)/90 - (-37)/q. Factor -6 + 9/2*z**2 + 3*z**3 - w*z - 3/2*z**4.
-3*(z - 2)**2*(z + 1)**2/2
Let x(j) be the second derivative of -j**7/49 + 43*j**6/210 - 11*j**5/28 - 22*j**4/21 + 8*j**3/21 + 3*j. Let x(d) = 0. Calculate d.
-1, 0, 1/6, 4
Suppose -t = -0*t - 3. Let -4*s - s**3 + 2*s - 6 + 6*s**2 + 3*s**t = 0. What is s?
-3, -1, 1
Let w = 5 - 1. Let f be 5/3 - (-2)/6. Factor 2*r**f - 5*r**2 - 3*r - r**3 - w + 3 + 0*r.
-(r + 1)**3
Let k(l) = -486*l**3 + 260*l**2 - 38*l - 4. Let z(t) = -973*t**3 + 518*t**2 - 77*t - 10. Let b(w) = 5*k(w) - 2*z(w). Factor b(n).
-4*n*(11*n - 3)**2
Let k(l) = l**3 + 7*l**2 - l - 5. Let y = 0 + -6. Let s be k(y). Factor -112*g**2 - s*g + 94*g - 20*g**2 - 6.
-3*(4*g - 1)*(11*g - 2)
Let g(h) be the first derivative of -7/10*h**6 + 0*h**2 + 69/20*h**5 - 5*h**4 - 6*h + 2*h**3 + 5. Let m(s) be the first derivative of g(s). Factor m(i).
-3*i*(i - 2)*(i - 1)*(7*i - 2)
Let o(i) be the first derivative of -2*i**3/27 - 4*i**2/3 - 45. Suppose o(l) = 0. What is l?
-12, 0
Let j(w) = -7*w**2 - 53*w - 26. Let o be j(-7). Let a(y) be the first derivative of -6*y**3 + 27/2*y**o + 3/4*y**4 + 9 + 0*y. Factor a(c).
3*c*(c - 3)**2
Let l(z) be the second derivative of -z**5/10 - 16*z**4/3 - 61*z**3/3 - 30*z**2 - 3*z - 20. Factor l(k).
-2*(k + 1)**2*(k + 30)
Let -4*h**2 - 12*h**2 - 17*h**2 + 60*h - 3*h**2 - 16 + 20*h = 0. What is h?
2/9, 2
Suppose -6941*t - 3 = -6945*t + 3*d, -5*d = t + 5. Suppose -1/5*l + t + 1/5*l**2 = 0. What is l?
0, 1
Let g(n) be the third derivative of -n**5/60 - 103*n**4/24 - 17*n**3 + 26*n**2 - 17. Determine w, given that g(w) = 0.
-102, -1
Let k(f) be the third derivative of 0*f + 1/8*f**4 + 1/2*f**3 - 1/40*f**6 + 0 - 1/20*f**5 - 18*f**2. Factor k(r).
-3*(r - 1)*(r + 1)**2
Let 0 - 13254/7*p - 2/21*p**3 - 188/7*p**2 = 0. What is p?
-141, 0
Factor 180 - b**3 + 3*b**3 + 158*b**2 + 608*b + 420.
2*(b + 2)**2*(b + 75)
Let m(r) = -4*r - 18. Let p be m(-6). Let u(j) be the third derivative of 0*j**5 + 0*j**3 + 0*j + 0 - 1/480*j**p - j**2 + 0*j**4. Factor u(y).
-y**3/4
Suppose 18*x + 11*x + 33 + 15*x - 4*x - 5*x**2 - 68 = 0. What is x?
1, 7
Determine a, given that 46*a - 124*a + 41*a + 49*a + 2*a**2 + 10 = 0.
-5, -1
Find i, given that -2/7*i**5 + 0*i - 8/7*i**2 + 6/7*i**4 + 0 + 0*i**3 = 0.
-1, 0, 2
Let c(z) = -15*z**4 + 27*z**3 - 72*z**2 - 9. Let s(y) = 8*y**4 - 13*y**3 + 37*y**2 + 5. Let x(n) = 5*c(n) + 9*s(n). Solve x(j) = 0 for j.
0, 3
Let x = 319 - 317. Let c = 691/13 - 53. Suppose 0*i + 6/13*i**x - 8/13 - c*i**3 = 0. What is i?
-1, 2
Suppose -6*t = -12*t + 18. Factor i**t + 5*i**3 - 3*i + 0*i - 3*i**5.
-3*i*(i - 1)**2*(i + 1)**2
Let r(w) be the first derivative of -1/120*w**5 + 0*w + 0*w**3 - 1/2*w**2 - 1/48*w**4 - 1. Let q(s) be the second derivative of r(s). Factor q(k).
-k*(k + 1)/2
Let w = -10 + 16. Suppose -4*o = -10 - w. Factor 2*t**3 + 4*t**5 - o*t - 5*t**5 - 3*t + 6*t.
-t*(t - 1)**2*(t + 1)**2
Let w(b) be the third derivative of -b**8/1344 - b**7/140 - 7*b**6/240 - b**5/15 - 3*b**4/32 - b**3/12 + 41*b**2. Factor w(a).
-(a + 1)**4*(a + 2)/4
Let q(n) = -4*n**3 + 6*n**2 - 2. Let b(f) = -5*f**3 + 7*f**2 + f - 3. Let v be 12/2 - (1 - -1). Let u(s) = v*q(s) - 3*b(s). Determine r, given that u(r) = 0.
1
Let -4/5*i**2 - 84/5*i - 16 = 0. Calculate i.
-20, -1
Suppose 4*x + 5*h - 34 = -11, -5*h = 3*x - 16. Factor -x + 2 + 10*v**2 + v**4 - 6*v**4.
-5*(v - 1)**2*(v + 1)**2
Suppose -5*o - 6 - 2 = i, -4*o = -5*i + 18. Factor -7*y**3 - y**3 + 4*y + 18*y**3 - 7*y**3 + 2*y**4 - y**5 - 8*y**i.
-y*(y - 2)*(y - 1)**2*(y + 2)
Factor -g**4 + 75*g**3 - 75*g + 2*g**4 - 6*g**4 + 85*g**2 - 36 - 51 + 7.
-5*(g - 16)*(g - 1)*(g + 1)**2
Determine s, given that 1/2*s - 15/4 + 1/4*s**2 = 0.
-5, 3
Let i(q) be the first derivative of -4*q**5/25 + 2*q**4/5 + 52*q**3/15 - 76*q**2/5 + 96*q/5 - 93. Suppose i(k) = 0. What is k?
-4, 1,