36. Let s(w) be the second derivative of 0*w**2 + 19*w - 1/3*w**6 + x*w**3 + 0 - 5/42*w**7 + 5/6*w**4 + 1/4*w**5. Solve s(k) = 0.
-2, -1, 0, 1
Let t(g) be the first derivative of 4*g**3/3 + 1376*g**2 + 6273. Factor t(p).
4*p*(p + 688)
Let d(a) = a**2 + a - 8. Let z = 54 + -60. Let f be d(z). Factor f*i**2 - 16*i**2 - 9*i**2.
-3*i**2
Let m(x) = x**3 - 12*x**2 + 3*x - 2. Let d be m(12). Let v be (-4 - d/(-8)) + 5/(-52). What is q in -32/13 + 16/13*q - v*q**2 = 0?
4
Let m(o) be the third derivative of o**7/840 - 11*o**6/96 + 323*o**5/80 - 4693*o**4/96 - 6859*o**3/12 - 69*o**2 - 26*o. Determine u, given that m(u) = 0.
-2, 19
Let i(u) be the first derivative of u**7/63 - u**5/10 + u**4/9 + 8*u + 38. Let a(w) be the first derivative of i(w). Suppose a(f) = 0. What is f?
-2, 0, 1
Solve -460*h**2 - h**5 + 1240*h**4 - 4400*h + 95*h**3 - 7744 - 546*h**4 - 684*h**4 = 0 for h.
-4, 11
Let p(n) be the second derivative of n**6/165 - 6*n**5/55 - 163*n**4/33 + 4*n**3/11 + 325*n**2/11 - 3542*n. Determine s so that p(s) = 0.
-13, -1, 1, 25
Let w be (4/(-6))/((-51)/(-54) + -1). Suppose -4*i + 8 = -w*i. Let d(y) = 7*y**2 - 9*y - 10. Let b(g) = -g**2 + g + 1. Let c(z) = i*d(z) - 6*b(z). Factor c(l).
-(l - 4)*(l + 1)
Let z be ((-3)/15)/(2/(-18)). Suppose 190*x + 482*x = -301*x + 1946. Solve -2/5*q**x + 2/5 + z*q - 9/5*q**3 = 0 for q.
-1, -2/9, 1
Let -204*u - 102*u**2 + 57*u**3 + 240 + 21/2*u**4 - 3/2*u**5 = 0. What is u?
-4, -2, 1, 2, 10
Let w(l) = -4*l - 6. Let i be w(-1). Let r be i/13 + (249/13 - 7). Find s, given that -285*s**3 - 27*s + 288*s**3 + r - 25*s - 20*s**4 + 57*s**2 = 0.
-2, 2/5, 3/4, 1
Let k(n) = 11*n**4 + 2*n**3 - 20*n**2 - 20*n + 18. Let c(s) = 24*s**4 + 3*s**3 - 40*s**2 - 46*s + 39. Let r(l) = -6*c(l) + 13*k(l). Factor r(q).
-q*(q - 4)*(q - 2)**2
Let p(a) be the second derivative of 2/3*a**4 + 3*a**3 + 0 + 38*a + 2*a**2. Factor p(z).
2*(z + 2)*(4*z + 1)
Let j be (-4 - 17/(-5))/((-2)/10). Suppose s**4 - 10*s**j - 5 - 602*s + 4*s**4 + 612*s = 0. Calculate s.
-1, 1
Let a(f) = f**3 + 12*f**2 + 12*f + 15. Let u be a(-11). Factor -16 - 16*d - 6*d**u + d**4 + 8*d**3 + d**4 + 12*d**2.
-4*(d - 2)**2*(d + 1)**2
Let j = -142890/7 - -714471/35. Factor -24 + j*f**2 + 117/5*f.
3*(f - 1)*(f + 40)/5
Find n, given that -492*n - 1000 + 1370*n**2 - 4*n**4 - 366*n**2 - 20821074*n**3 + 20821566*n**3 = 0.
-2, -1, 1, 125
Let m = -142 - -198. Factor 55*z**3 + 48 - m*z**3 - 78*z - 2*z**3 + 33*z**2.
-3*(z - 8)*(z - 2)*(z - 1)
Let g be (-19*(-60)/(-50))/((-4)/(-185)). Let z = 1056 + g. Suppose 3/2*r**2 + 1/2*r**3 + z*r + 1/2 = 0. Calculate r.
-1
Let u(r) be the second derivative of -36 + 0*r**2 + 39/20*r**5 + 0*r**4 - 2*r + 0*r**3 - 1/10*r**6. Solve u(i) = 0 for i.
0, 13
Let m be ((-55)/(-8) - 7)/((-21)/112). Let x(y) be the first derivative of m*y - 1/6*y**2 - 14 + 1/15*y**5 - 1/3*y**3 + 1/12*y**4. Factor x(z).
(z - 1)**2*(z + 1)*(z + 2)/3
Let f(h) be the first derivative of h**4/10 - 894*h**3/5 + 599427*h**2/5 - 178629246*h/5 - 1496. Factor f(p).
2*(p - 447)**3/5
Let x = -24/403 + 2917/1612. Determine f so that x*f + 3/2 + 1/4*f**2 = 0.
-6, -1
Let v be 154/(-98)*(-582)/1067. What is m in -1/7*m + v*m**2 - 1/7*m**5 - 3/7*m**4 + 2/7*m**3 - 3/7 = 0?
-3, -1, 1
Let f = 31 - 29. Suppose -5*x - f = -g, -3*g - 5*x = -3*x - 6. Factor 9*v + 12*v**2 + 9*v**g - 24*v**2 - 6.
-3*(v - 2)*(v - 1)
Suppose -52 + 68 = 8*k. Suppose 6 = p + g, -k*p - 13 = -4*g - 1. Factor 4/3*w + 0 + 2/3*w**4 - 2/3*w**5 - 10/3*w**p + 2*w**3.
-2*w*(w - 1)**3*(w + 2)/3
Let k be (-36)/(-1 + 10) - (2 + -8). Factor 53*z**2 + 103*z + 50 - 47*z**k - 35*z - 124.
2*(z - 1)*(3*z + 37)
Let m(w) = -146*w**3 + 70*w**2 + 132*w - 21. Let d(q) = -145*q**3 + 62*q**2 + 133*q - 20. Let s(t) = -7*d(t) + 6*m(t). Factor s(c).
(c - 1)*(c + 1)*(139*c - 14)
Determine r so that -4/5*r**4 + 168/5*r**3 - 168/5*r - 316/5*r**2 + 64 = 0.
-1, 1, 2, 40
Let o be (-13)/(-182) + (-729)/(-378). Find p such that 38/7*p + 2/7*p**o + 0 = 0.
-19, 0
Let c(j) be the third derivative of 1/5*j**5 - 9/4*j**3 + 0*j + 3/40*j**6 + 146*j**2 - 3/8*j**4 + 0 + 1/140*j**7. Find k, given that c(k) = 0.
-3, -1, 1
Let m(u) = 7*u**2 + 34*u - 32. Let c(b) = -b**3 - 18*b**2 - 18*b - 9. Let o be c(-17). Let a(l) = 20*l**2 + 100*l - 96. Let f(q) = o*m(q) - 3*a(q). Factor f(x).
-4*(x - 1)*(x + 8)
Let k be (-7 + (-784)/(-84))*((-144)/(-56))/9. Let 0 - 2/3*p**2 + k*p**4 + 4/9*p - 2/9*p**5 - 2/9*p**3 = 0. Calculate p.
-1, 0, 1, 2
Let q(m) be the first derivative of -108 - 5/11*m**2 - 4/11*m**3 - 1/22*m**4 + 0*m. Factor q(x).
-2*x*(x + 1)*(x + 5)/11
Let v be 10*(14/(-25))/7*(-6 + (-64)/(-24)). Suppose -v*x - 4/3*x**2 + 0 = 0. What is x?
-2, 0
Let d(h) = 10*h - 23. Let g be d(3). Let i(r) be the second derivative of 0*r**6 - 18*r + 0*r**4 + 0*r**2 - 1/105*r**g + 0 + 1/25*r**5 - 1/15*r**3. Factor i(u).
-2*u*(u - 1)**2*(u + 1)**2/5
Let d = -22497 + 22500. Solve -z**4 + 5*z - 49/4*z**d + 2 + 15/4*z**5 - 9/2*z**2 = 0.
-1, -2/5, 2/3, 2
Let l(u) = 9*u**3 - 490*u**2 - 919*u - 468. Let x(b) = -15*b**3 + 815*b**2 + 1532*b + 780. Let w(z) = -13*l(z) - 8*x(z). Suppose w(i) = 0. Calculate i.
-1, 52
Let n(m) be the second derivative of 1/3*m**4 - m - 27 - 20*m**2 - 6*m**3. Suppose n(f) = 0. What is f?
-1, 10
Let t(k) be the second derivative of 0*k**4 + 0 + 1/255*k**6 + 13/170*k**5 + 0*k**3 + 0*k**2 + 212*k. Let t(o) = 0. What is o?
-13, 0
Factor -763 + 13844*q**2 - 13840*q**2 - 452*q - 157.
4*(q - 115)*(q + 2)
Let a = 4 - -5. Suppose a = 3*l + 3. Determine f, given that 91*f**2 - 6 - 93*f**l - 6*f - 2*f = 0.
-3, -1
Let k(o) be the third derivative of 27*o**4/8 + 571*o**3/6 - 67*o**2. Let v be k(-7). Solve -1/5*z**3 + 0 + 0*z**2 + 0*z - 1/5*z**v = 0 for z.
-1, 0
Let n = -1111 - -1140. Suppose -9*b + 76 = n*b. Factor 1/2*m**3 + 2*m + b*m**2 + 0.
m*(m + 2)**2/2
Let j(r) be the first derivative of -r**5/120 + 7*r**4/24 - 13*r**3/12 + 69*r**2/2 + 57. Let t(i) be the second derivative of j(i). Find m such that t(m) = 0.
1, 13
Solve -16*t**3 - 14*t**3 + 660*t - 10556*t**4 + 590*t**2 + 135*t**3 + 320 + 10561*t**4 - 150*t**2 = 0 for t.
-16, -2, -1
Let w(a) = a**2 + 2. Let u(n) = 45*n**2 - 520*n - 980. Let s(g) = u(g) - 40*w(g). Find z such that s(z) = 0.
-2, 106
Let c = 290 - 288. Let y(j) = j + 1. Let u be y(c). Factor 185/4*s**2 + 95/2*s + 10 + 35/4*s**u.
5*(s + 1)*(s + 4)*(7*s + 2)/4
Let i = 544963/5 + -108991. Factor 2/5*j**2 + 1/5*j**3 - 4/5*j - i.
(j - 2)*(j + 2)**2/5
Let d(j) be the third derivative of 0 + 0*j**3 + 1/30*j**6 - 127*j**2 + 0*j + 1/105*j**7 + 0*j**4 + 0*j**5 - 1/168*j**8. Find r such that d(r) = 0.
-1, 0, 2
Let u(a) be the third derivative of -a**7/6300 + a**6/450 - 8*a**4/45 + 131*a**3/3 - 211*a**2. Let t(y) be the first derivative of u(y). Factor t(b).
-2*(b - 4)**2*(b + 2)/15
Let n(q) = 11*q**2 - 28*q + 129. Let j(a) = 19*a**2 - 54*a + 257. Let m(d) = 4*j(d) - 7*n(d). Factor m(k).
-(k - 5)*(k + 25)
Let t(v) be the second derivative of v**6/150 - 2*v**5/25 - v**4/2 - 16*v**3/15 + 25*v**2/2 - 3*v - 1. Let p(w) be the first derivative of t(w). Factor p(k).
4*(k - 8)*(k + 1)**2/5
Let x(c) be the first derivative of 5/14*c**2 + 1/28*c**4 - 19 + 0*c + 2/7*c**3. Factor x(u).
u*(u + 1)*(u + 5)/7
Let o(l) be the second derivative of l**8/2016 - 11*l**7/1260 + l**6/72 + 45*l**2 - 131*l. Let p(k) be the first derivative of o(k). Solve p(v) = 0 for v.
0, 1, 10
Let x(r) be the first derivative of -3*r**4/8 + r**3 + 39*r**2/4 + 15*r + 2081. Factor x(h).
-3*(h - 5)*(h + 1)*(h + 2)/2
Suppose -104/15*v + 16/15 - 188/5*v**2 + 1034/15*v**3 - 8/3*v**4 - 114/5*v**5 = 0. Calculate v.
-2, -2/9, 2/19, 1
Let f = 433 + -305. Let k = f - 125. Factor -4*g**k - g**3 - 45 + 25*g**2 + 0*g**3 - 10*g - 5*g.
-5*(g - 3)**2*(g + 1)
Let n(g) be the third derivative of 1/90*g**5 + 22/9*g**3 - g**2 + 13/36*g**4 + 72 + 0*g. Factor n(s).
2*(s + 2)*(s + 11)/3
Let r be (80/(-110))/((-102)/187). Let o(d) be the first derivative of 8/3*d - r*d**2 - 11 + 2/9*d**3. Solve o(s) = 0 for s.
2
Let x(m) be the second derivative of -10 - 9*m**2 - 2*m**3 - m - 1/6*m**4. Let x(k) = 0. Calculate k.
-3
Let u(s) be the first derivative of -2*s**5/5 + 4*s**4 + 6*s**3 - 1304. Factor u(a).
-2*a**2*(a - 9)*(a + 1)
Suppose 201*a = 200*a - 40. Let c be ((a/(-35))/4)/(-5 - -6). Suppose 4/7*y + 2/7 + c*y**2 = 0. What is y?
-1
Let j(s