ve of x**6/2 - 17*x**5/4 - 105*x**4/2 - 100*x**3/3 - 3*x - 71. Find k, given that a(k) = 0.
-4, -1/3, 0, 10
Factor -805*w - 325*w + 1392*w - 178*w**2 - 798*w - 6.
-2*(w + 3)*(89*w + 1)
Let h(v) be the first derivative of v**8/1008 - v**7/105 + v**6/72 + v**5/15 + v**2/2 - 2*v - 56. Let c(b) be the second derivative of h(b). Factor c(k).
k**2*(k - 4)*(k - 3)*(k + 1)/3
Let s = 7740022/13 + -595386. Let 2/13*a + 2/13*a**2 - s = 0. Calculate a.
-2, 1
Factor -70/11 - 24/11*z**2 + 94/11*z.
-2*(z - 1)*(12*z - 35)/11
Let u(b) = -14*b**3 - 2*b**2 - 2*b - 1. Let f = -14 - -13. Let m be u(f). Factor -m - 26*j + 13 - 9*j + 5*j**2.
5*j*(j - 7)
Suppose 5*s = -73*j + 72*j - 6, -12*s - 8 = 2*j. Solve 48/5 + 2/5*z**s - 4*z = 0 for z.
4, 6
Let a(c) be the second derivative of -1/4*c**4 + 18*c**2 - 2*c**3 - 3*c + 2. Suppose a(u) = 0. Calculate u.
-6, 2
Suppose 24 = -13*w + 21*w. Determine r, given that r**w - 27 + 70 - 31 + 5*r - 6*r**2 = 0.
-1, 3, 4
Let k be 4/32 - (-184)/64. Let a(d) be the second derivative of 0 - 26*d + 2*d**5 - 2/5*d**6 + 4/3*d**3 - k*d**4 + 0*d**2. Factor a(u).
-4*u*(u - 2)*(u - 1)*(3*u - 1)
Let a be (0/4)/(-11 + 12). Let s(w) be the second derivative of 16/27*w**3 + 20*w + 1/54*w**4 + 64/9*w**2 + a. What is t in s(t) = 0?
-8
Let -2/5*j**3 + 136/5*j - 8*j**4 - 8/5*j**5 + 152/5*j**2 + 32/5 = 0. Calculate j.
-4, -2, -1/2, 2
Let y(r) be the second derivative of -3*r**5/10 + 1826*r**4/9 - 370069*r**3/9 - 82418*r**2/3 - 3*r + 201. Let y(d) = 0. What is d?
-2/9, 203
Let n = 22948 + -22948. Let y(m) be the first derivative of 1/6*m**4 - m**2 + 13 + 4/3*m + n*m**3. Let y(c) = 0. What is c?
-2, 1
Factor 16*o**2 + 4/5*o**3 + 88/5 - 172/5*o.
4*(o - 1)**2*(o + 22)/5
Suppose 1424*x - 84060 = 23*x. Solve -x*k**2 + 133/2*k + 18*k**3 - 49/2 = 0 for k.
1, 7/6
Let b = -21/449 - -19089/4939. Let -164/11*l**2 + b*l**5 + 16/11 + 342/11*l**3 - 24/11*l - 212/11*l**4 = 0. What is l?
-2/7, 1/3, 1, 2
Let v = -83/9 - -262/45. Let r = v - -4. Determine h, given that 2/5 - r*h + 1/5*h**2 = 0.
1, 2
Let u = 344566 - 344492. Determine j, given that u*j - 2738 - 1/2*j**2 = 0.
74
Factor -26*u**4 + 60*u - 38*u**4 - 180 - 7*u**3 + 59*u**4 - 3*u**3 + 55*u**2.
-5*(u - 2)**2*(u + 3)**2
Let v(w) = 13*w**3 + 176*w**2 + 163*w + 10. Let f(j) = 30*j**3 + 410*j**2 + 380*j + 23. Let a(z) = -10*f(z) + 23*v(z). Determine p, given that a(p) = 0.
-51, -1, 0
Solve 694/3*p**2 - 311/3*p**4 - 32/3 - 371/3*p**3 - 44/3*p**5 + 64/3*p = 0 for p.
-4, -1/4, 2/11, 1
Let k = 249 - 216. Solve -78*o - 8 - 22 + 3*o**2 + 66*o - k = 0.
-3, 7
Solve -2035*m**2 - 315 + 900*m**4 + 1770*m + 40*m**5 - 77*m**2 - 953*m**2 + 1110*m**3 = 0 for m.
-21, -3, 1/2
Let -23 - 47 - 159 - 113 - 10315*n**2 + 10318*n**2 + 39*n = 0. What is n?
-19, 6
Suppose 0 = 3*f + a - 2, 3*f + 4*a = 11 - 3. Factor -48/5*g**3 - 4/5*g + 26/5*g**2 + 18/5*g**4 + f.
2*g*(g - 2)*(3*g - 1)**2/5
Solve 26/17*g**3 - 46/17*g**2 - 434/17*g - 2/17*g**4 + 1176/17 = 0 for g.
-4, 3, 7
Solve 181*w**2 - 597*w - 5*w**3 + 835 - 1078*w + 664*w**2 = 0.
1, 167
Suppose 2*m - 41 - 211 = -3*s, -4*m + s + 490 = 0. Let j be (-41)/m*(0 + 0). Factor -4/3*r**2 + 0 - 8/3*r**4 + j*r - 2/3*r**5 - 10/3*r**3.
-2*r**2*(r + 1)**2*(r + 2)/3
Let u(w) = w**2 - 3*w + 2. Let f be u(6). What is c in c**5 - 6*c**5 - 9*c**3 - 16*c**3 - f*c**4 - 10*c**2 = 0?
-2, -1, 0
Let b(r) be the first derivative of 2/55*r**5 + 0*r - 2/33*r**3 - 1/33*r**6 + 0*r**2 + 1/22*r**4 - 61. Let b(j) = 0. What is j?
-1, 0, 1
Let p(u) be the second derivative of u**6/10 + 141*u**5/10 - 199*u**4/4 - 338*u**3 - 576*u**2 - 2*u - 1139. Factor p(r).
3*(r - 4)*(r + 1)**2*(r + 96)
Let i(d) be the second derivative of 2/35*d**6 + 0*d**2 + 34*d + 0 + 0*d**4 + 2/35*d**5 + 0*d**3 + 2/147*d**7. Factor i(s).
4*s**3*(s + 1)*(s + 2)/7
Let p(f) = 10*f**2 + 42*f + 50. Let a(i) = 9*i**2 + 43*i + 49. Let x = -662 + 667. Let l(h) = x*p(h) - 6*a(h). Factor l(q).
-4*(q + 1)*(q + 11)
Let h(f) be the first derivative of -2*f**5/35 - 29*f**4/14 - 12*f**3 - 144*f**2/7 + 8408. Suppose h(j) = 0. What is j?
-24, -3, -2, 0
Let t(l) = -568*l - 3965. Let o be t(-7). Let x(m) be the second derivative of 0 - 1/30*m**6 - o*m + 1/12*m**4 + 1/20*m**5 + 0*m**2 - 1/6*m**3. Factor x(u).
-u*(u - 1)**2*(u + 1)
Factor 19*r - 63*r - 20*r**2 + 30*r + 26*r + 8.
-4*(r - 1)*(5*r + 2)
Let z = 114 - 112. Let l be (-174)/(-12) - z/(-4). What is h in -108*h + 158 + 8*h - l*h**2 + 245*h**4 - 138 + 350*h**3 = 0?
-1, 2/7
Let o = 8561/2460 + -142/41. Let c(j) be the third derivative of -j**2 + 1/8*j**4 + 0*j - o*j**5 + 2/3*j**3 + 0. Factor c(g).
-(g - 4)*(g + 1)
Let y(k) be the second derivative of -407/30*k**6 - 28/3*k**3 + 42*k + 0 - 2*k**2 - 499/20*k**5 - 265/12*k**4 - 121/42*k**7. Determine a so that y(a) = 0.
-1, -2/11
Let k(c) be the third derivative of 1/150*c**7 - 4/75*c**6 + 0 + 0*c**4 + 0*c**3 + 0*c + 4/75*c**5 - 25*c**2. Suppose k(a) = 0. Calculate a.
0, 4/7, 4
Let t(h) be the second derivative of h**5/10 + 51*h**4/2 + 152*h**3/3 + 1311*h. Find d such that t(d) = 0.
-152, -1, 0
Let n(v) = -12*v**4 - 20*v**3 + 24*v**2 + 48*v + 40. Let r = -137 - -136. Let c(m) = -m**4 - m**3 + 2*m**2 + 1. Let x(y) = r*n(y) + 8*c(y). Factor x(j).
4*(j - 2)*(j + 1)*(j + 2)**2
Solve 0 - 122/9*x**4 + 0*x + 80/9*x**2 - 14/9*x**5 - 244/9*x**3 = 0.
-5, -4, 0, 2/7
Let x be (-590)/(-8) + 46/184. Factor 2880 + x*c**3 - c**3 + 26*c**3 + 5*c**4 + 1523*c + 845*c**2 + 11*c**3 + 1117*c.
5*(c + 3)**2*(c + 8)**2
Let s(h) = h**2 - 1826*h + 37907. Let x be s(21). Factor 1/3*o**x + 7 - 10/3*o.
(o - 7)*(o - 3)/3
Suppose -9*c + 71951 = -4072. Factor -c + 4335*l + 5*l**3 - 8246 - 7872 - 255*l**2.
5*(l - 17)**3
Suppose 352*d**2 - 100*d - 4*d**4 - 356*d - 56*d**3 - 81*d + 228 + 17*d = 0. What is d?
-19, 1, 3
Let p(f) be the second derivative of -25/36*f**4 - 124 + 1/20*f**5 - 10/3*f**2 - 2*f - 8/3*f**3. Factor p(m).
(m - 10)*(m + 1)*(3*m + 2)/3
Suppose -n = 4*s - 12, -5 = 2*s - 5*n + 11. Factor 117*a**2 - 255*a**3 - 24*a**2 + 75*a**2 + s*a**3 + 121*a**4 - 36*a.
a*(a - 1)*(11*a - 6)**2
Let r be 4/6 - (-10)/(-24). Let b = -44502 - -44504. Factor -r*f**5 + 7/4*f**b + 0 + 5/4*f**4 - 1/2*f - 9/4*f**3.
-f*(f - 2)*(f - 1)**3/4
Let d(g) be the second derivative of -g**6/660 + 7*g**5/660 - g**4/66 + 79*g**3/6 + g**2 - 7*g + 13. Let q(a) be the second derivative of d(a). Factor q(v).
-2*(v - 2)*(3*v - 1)/11
Let g(d) be the second derivative of -2*d**6/15 - 19*d**5/5 - 17*d**4 - 98*d**3/3 - 32*d**2 + 912*d. Factor g(f).
-4*(f + 1)**3*(f + 16)
Let i be 402*53/(-3498) + (-2 - -16)/2. Suppose i*r**2 + 0 - 12/11*r + 2/11*r**3 = 0. Calculate r.
-6, 0, 1
Suppose -3*q = 66 - 126. Factor q*m - 3 + 70*m**2 - 68*m**2 + 53.
2*(m + 5)**2
Suppose 19*u + 20 = 24*u. Let v be 4*u/(-8) - (-15 + 3). Let -45*j**4 + 4 + 80*j**3 - v*j - 4 - 13*j**2 - 12*j**2 = 0. What is j?
-2/9, 0, 1
Let i(h) be the first derivative of -h**6/2 - 1134*h**5/5 + 1722*h**4 - 3078*h**3 - 6885*h**2/2 + 10368*h - 4387. Let i(f) = 0. Calculate f.
-384, -1, 1, 3
Let y(h) be the first derivative of -28 + 12*h**5 + 0*h - 256/3*h**3 + 0*h**2 + 48*h**4 + 2/3*h**6. Factor y(n).
4*n**2*(n - 1)*(n + 8)**2
Let n(t) be the third derivative of t**6/24 - 13*t**5/6 - 1105*t**4/24 - 275*t**3 - 1271*t**2 + 2*t + 1. Factor n(s).
5*(s - 33)*(s + 2)*(s + 5)
Let c(t) be the first derivative of -t**6/480 + t**5/240 + t**4/6 + 5*t**3/6 + 91*t**2 + 172. Let k(x) be the second derivative of c(x). Solve k(o) = 0.
-2, 5
Let q(l) = -4*l**2 - 91*l + 29. Let t be q(-23). What is u in -12*u**2 + t - 6*u**2 - 16*u**2 + 50*u**2 - 13*u**2 - 9*u = 0?
1, 2
Let u(l) be the third derivative of 20*l**2 - 1/180*l**5 - 3 - 1/180*l**6 + 0*l**4 + 0*l - 1/630*l**7 + 0*l**3. Factor u(t).
-t**2*(t + 1)**2/3
Let 1378*q**2 - 6/7*q**4 - 5512/7 + 8/7*q + 4120/7*q**3 = 0. What is q?
-2, -1, 2/3, 689
Let u(x) = -11*x**3 + 330*x**2 - 5094*x - 11572. Let m(j) = 34*j**3 - 990*j**2 + 15281*j + 34718. Let f(b) = -6*m(b) - 19*u(b). Factor f(s).
5*(s - 34)**2*(s + 2)
Suppose -155*f**3 + 6*f**4 + 25*f**2 + 5*f**5 + 40*f**3 + 17*f**4 + 27*f**4 + 35*f**2 = 0. Calculate f.
-12, 0, 1
Let u(t) = -6*t**2 + 2298*t + 8. Let b(x) = x**2 - 5*x - 2. Let j(y) = 4*b(y) + u(y). Factor j(p).
-2*p*(p - 1139)
Factor -448/15 + 2/15*i**2 - 44/3*i.
2*(i - 112)*(i + 2)/15
Suppose 6*p = 3*w - 9*w + 894, 5*w - 731 = 2*p. Fac