**5. Suppose g(s) = 0. Calculate s.
-4, -1, 1
Solve 3*x**3 + 111*x**2 - 145 + 286 + 614*x - 141 + 376*x = 0.
-22, -15, 0
Let h(w) = 2*w**2 + 4830*w - 4829. Let k be h(1). Factor 3/7*z**4 + 138/7*z**2 - 432/7*z + 48/7*z**k + 243/7.
3*(z - 1)**2*(z + 9)**2/7
Let h be -9*2/(-48) + (8151/(-1064))/(-39). Factor 4/7*m**3 + h*m**2 + 0 - 8/7*m.
4*m*(m - 1)*(m + 2)/7
Let s(l) = 2*l - 445 - 434 - 4*l + 896 - 7*l**2 + l**3. Let o be s(7). Factor 1/2*u**2 - 1/2*u**o - 1/2 + 1/2*u.
-(u - 1)**2*(u + 1)/2
Let p(b) be the first derivative of 0*b - 2*b**2 - 1/3*b**4 + 91 - 16/9*b**3. Find y, given that p(y) = 0.
-3, -1, 0
Factor 2/17*i**3 + 28/17*i**2 + 0 + 0*i.
2*i**2*(i + 14)/17
Factor -1245*h - 3/2*h**2 - 516675/2.
-3*(h + 415)**2/2
Let l(u) be the third derivative of -u**6/20 + 59*u**5/80 - 21*u**4/32 - 62*u**2 + 1. Let l(r) = 0. What is r?
0, 3/8, 7
Suppose -4056 = 64*m - 51*m. Let x = m + 2193/7. Solve -3/7 - x*t**2 + 9/7*t + 3/7*t**3 = 0 for t.
1
Let w(b) be the third derivative of 0*b**5 - 23*b**2 + 4/3*b**3 + 0*b - 1/90*b**6 + 2/3*b**4 + 0. Let l(s) be the first derivative of w(s). Factor l(k).
-4*(k - 2)*(k + 2)
Let v(x) be the first derivative of 0*x**4 + 0*x + 32*x**2 + 106 - 64/3*x**3 + 16/5*x**5 - 2/3*x**6. What is s in v(s) = 0?
-2, 0, 2
Let o be (6/8)/((-2)/(-8)). Suppose 5*y - o*p + p = 19, y + 3*p = 14. Suppose -y*i**4 + 7*i + 6 + 3*i - 3*i**3 - 7*i**3 - 1 = 0. Calculate i.
-1, 1
Let x(p) be the first derivative of -3/10*p**6 + 22/5*p**3 + 123 - 24/5*p**2 + 0*p + 57/20*p**4 - 66/25*p**5. Find g such that x(g) = 0.
-8, -1, 0, 2/3, 1
Let t(p) be the third derivative of p**7/1050 - 29*p**6/600 - p**5/100 + 17*p**4/24 + 29*p**3/15 + 15*p**2 + 447*p. Factor t(l).
(l - 29)*(l - 2)*(l + 1)**2/5
Let j be (12 + -15)/(1 + 10/(-4)). Factor -133*a + 133*a - 9*a**j - 5*a**4 - 25*a**3 - 11*a**2.
-5*a**2*(a + 1)*(a + 4)
Suppose n - 129 = 5*k, 0 = -4*n - 0*k + 5*k + 546. Factor -132*w - n*w**3 - 150*w**2 + 24 - 144*w**3 + 244*w**3.
-3*(w + 2)**2*(13*w - 2)
Suppose 6*i + 64 = 38*i. Factor c - 2*c**3 + 247*c**5 + 4*c**2 - i*c**4 - 82*c**5 - 83*c**5 - 81*c**5 - 2.
(c - 2)*(c - 1)**2*(c + 1)**2
Let j = 1027282 - 7190524/7. Let -52/7*w**2 - 120/7*w + 2/7*w**4 + j + 8/7*w**3 = 0. What is w?
-5, 3
Let s be (0 - -5)/(85/102). Let h = s + -3. Factor 4*n + 65*n**2 + 4*n**3 - 67*n**2 - 6*n**h.
-2*n*(n - 1)*(n + 2)
Let n(s) = -5*s + 179. Let h be n(36). Let g be (-2)/12*h + (-7)/(-21). Factor 1/2*c - g*c**2 + 1.
-(c - 2)*(c + 1)/2
Let s(n) be the second derivative of -n**6/840 - n**5/28 + 11*n**4/56 - 41*n**3/3 + n + 9. Let t(y) be the second derivative of s(y). Find g such that t(g) = 0.
-11, 1
Let i(u) be the third derivative of -u**6/220 + 90*u**5/11 - 67500*u**4/11 + 27000000*u**3/11 + 2643*u**2. Factor i(y).
-6*(y - 300)**3/11
Let d(y) be the third derivative of y**6/8 - 14241*y**5/10 + 5070864*y**4 - 8111104*y**3 + 4933*y**2. Solve d(p) = 0 for p.
2/5, 2848
Let s(o) be the second derivative of -o**7/231 + 2*o**6/165 + 2*o**5/55 - 4*o**4/33 + 40*o - 9. Factor s(n).
-2*n**2*(n - 2)**2*(n + 2)/11
Let a(z) = -5*z**4 + 878*z**3 - 871*z**2 - 881*z + 876. Let n(l) = -l**4 + l**2 - l. Let o(p) = a(p) - 3*n(p). Determine w so that o(w) = 0.
-1, 1, 438
Let b(d) = -8*d**2 - 45*d + 38. Let o(j) = 5*j**2 + 20*j**2 - 172 - 10*j**2 + 57 + 134*j + 6*j**2. Let l(i) = 8*b(i) + 3*o(i). Suppose l(q) = 0. Calculate q.
1, 41
Let x(j) = j**2 - 12*j + 15. Let k be x(15). Factor -22*t**3 + 4 + k*t**3 - 30*t**3 - 14*t - 10*t**2.
2*(t - 2)*(t + 1)*(4*t - 1)
Suppose -2 = 5*t - 12. Suppose t*f = -j + 5, -3*j + 18 - 6 = 3*f. Factor 2*c**5 + 4*c**4 + 136*c**3 + 8*c**2 + 136*c**3 + 0*c**5 - 286*c**j.
2*c**2*(c - 1)**2*(c + 4)
Let f(y) be the third derivative of 0 + 6*y**2 + 1/20*y**5 + 169/2*y**3 - 13/4*y**4 - 2*y. Factor f(j).
3*(j - 13)**2
Suppose -2*y + 46 = -5*i - 0*i, -3*y = 2*i - 50. Let t(d) be the second derivative of 1/14*d**3 - y*d + 0 + 0*d**2 + 1/28*d**4. Find q, given that t(q) = 0.
-1, 0
Suppose -5*y + 56 = 3*w, -2*w = y - 38 + 24. Determine o, given that 2/3*o**3 + 4/3 - 2/3*o - 4/3*o**w = 0.
-1, 1, 2
Let i(j) be the second derivative of j**7/56 + j**6/15 + j**5/40 - j**4/4 + j**3/3 + 13*j**2 + 8*j - 2. Let m(v) be the second derivative of i(v). Factor m(q).
3*(q + 1)**2*(5*q - 2)
Let i(m) be the third derivative of m**5/140 - 477*m**4/56 + 2279*m**2. Factor i(n).
3*n*(n - 477)/7
Let a(v) be the third derivative of v**8/112 + v**7/14 + 3*v**6/20 - v**5/10 - 7*v**4/8 - 3*v**3/2 - 14*v**2 - 14*v. Determine x, given that a(x) = 0.
-3, -1, 1
Let y(v) be the second derivative of -v**9/5292 + v**7/735 - v**5/210 + v**3/6 - 6*v**2 + 4*v. Let t(d) be the second derivative of y(d). Factor t(x).
-4*x*(x - 1)**2*(x + 1)**2/7
Suppose -4*t = 4*c - 40, -c - 8*t = -13*t + 26. Let r(u) be the first derivative of -25/3*u**3 - 20*u**2 + c - 5/4*u**4 - 20*u. Factor r(n).
-5*(n + 1)*(n + 2)**2
Let h(c) be the first derivative of -c**6/39 + 72*c**5/65 + 57*c**4/13 + 232*c**3/39 + 3*c**2 + 914. Factor h(v).
-2*v*(v - 39)*(v + 1)**3/13
Determine f, given that -162864*f - 40612 - 3*f**3 - 763*f**2 + 157231 - 638*f**2 + 47649 = 0.
-234, 1
Let u(t) be the first derivative of 4*t**3/3 + 3*t**2/2 + 2*t + 16. Let a be u(-1). Factor 2*w**a - w**3 - w**4 - w**4 + 2 + 3*w**3 - 4*w.
-2*(w - 1)**3*(w + 1)
Let o(p) = -572*p - 91494. Let j be o(-160). Factor -104/5*a**2 - 2*a**3 - 36/5 - j*a.
-2*(a + 1)*(a + 9)*(5*a + 2)/5
Factor 752*h**3 - 8723*h - 36816*h**2 - 123298 + 8422*h - 4*h**4 + 138669*h - 12126.
-4*(h - 92)**2*(h - 2)**2
Suppose -4*s = -2*k - 18, 5*s = 3*k - 4 + 28. Solve 15/4*c + 9/2 - 3/4*c**s - 3/2*c**2 = 0.
-3, -1, 2
Let w be (-20)/150 + (-9)/(26190/452). Let g = 4516/485 - w. Factor -93/5*h**2 - 12/5*h**3 - 168/5*h + g.
-3*(h + 4)**2*(4*h - 1)/5
Let h(k) be the third derivative of k**5/120 + 77*k**4/48 + 30*k**3 - 711*k**2 - 8. Find b, given that h(b) = 0.
-72, -5
Let h(i) be the second derivative of -1/6*i**2 + 9 - 37/36*i**3 - 35/72*i**4 - i. Determine b, given that h(b) = 0.
-1, -2/35
Let a(u) be the first derivative of -2/15*u**5 + 11 + 56/27*u**3 + 1/3*u**4 - 1/27*u**6 + 8/3*u**2 + 0*u. Find v such that a(v) = 0.
-2, 0, 3
Let d = 11350 - 953381/84. Let a(x) be the second derivative of -2/147*x**7 + 1/14*x**2 + 26*x - 1/6*x**3 + 0 - 5/28*x**5 + 8/105*x**6 + d*x**4. Factor a(u).
-(u - 1)**3*(2*u - 1)**2/7
Let u = 366145/2 - 182990. Let -3*y**2 - 81/2 - u*y = 0. What is y?
-27, -1/2
Let v(z) be the second derivative of z**5/15 + z**4 - 51*z**2/2 + 16*z + 4. Let a(i) be the first derivative of v(i). Find p such that a(p) = 0.
-6, 0
Let w(j) be the second derivative of 3*j**5/35 + 124*j**4/21 + 46*j**3/3 + 80*j**2/7 - 8*j - 31. Factor w(r).
4*(r + 1)*(r + 40)*(3*r + 1)/7
Let t(a) = -4*a**3 - 2*a + 1. Let z(i) = -i**3 - i. Let o(q) = t(q) - 3*z(q). Let x(w) = 20*w**3 - 5*w - 25. Let u(h) = -25*o(h) - x(h). Factor u(f).
5*f*(f - 2)*(f + 2)
Suppose 3*f + 22 = -4*x, -32*x + 32 = -3*f - 34*x. Let h be ((-441)/f)/21 - -2. Factor 15*m + h*m**2 + 4.
(m + 4)*(7*m + 2)/2
Let n(o) be the second derivative of -o**5/4 - 15*o**4/4 - 45*o**3/2 - 135*o**2/2 - 1334*o. Find i such that n(i) = 0.
-3
Suppose -14*l = -3*q - 17*l + 3, 3*l = 6. Let a = 1 + q. What is y in 0*y + 3/4*y**2 + a = 0?
0
Let q be (0 - 12)*(-2)/148. Let v = 350/333 - q. Let -2/9*f**3 + 8/9*f - 2/9*f**2 + v = 0. What is f?
-2, -1, 2
Let n(z) be the first derivative of -z**2/2 - 7*z - 10. Let x be n(-8). Suppose x + 10*t - 8 - 1 - 4 - 2*t**2 = 0. Calculate t.
2, 3
Let c be ((-1018)/(-3054))/(1/12). Factor 0*o**3 - 2/7*o + 2/7*o**5 + 0 - 4/7*o**2 + 4/7*o**c.
2*o*(o - 1)*(o + 1)**3/7
Let s be (-5)/(35/2) - 2934/(-126). Determine t so that 18*t**2 + 1090*t**3 - 3*t**5 + 0*t - 2147*t**3 - 18 + 1081*t**3 - s*t + 2*t = 0.
-2, -1, 1, 3
Let b be -54 - (-13)/((-117)/36). Let k = b - -60. Factor -5/2 + 5/2*x**3 - 15/2*x**k + 15/2*x.
5*(x - 1)**3/2
Let c(p) be the first derivative of -p**4/4 - 7*p**3 - 36*p**2 - 68*p - 254. Factor c(r).
-(r + 2)**2*(r + 17)
Let x(v) be the second derivative of v**4/6 - 1178*v**3/3 + 1177*v**2 + 119*v + 11. Factor x(l).
2*(l - 1177)*(l - 1)
Let r(w) be the first derivative of -w**6/195 - w**5/26 - 3*w**4/26 - 7*w**3/39 - 2*w**2/13 + 21*w + 6. Let q(p) be the first derivative of r(p). Factor q(a).
-2*(a + 1)**3*(a + 2)/13
S