(v). Factor n(h).
(h + 1)**2*(h + 5)
Suppose 17 = 6*n - 7. Suppose 12*j - 16 = n*j. Factor -2*g**3 - 7*g + 2*g**4 - j*g**5 + 2*g**5 - 8*g**2 - 2*g**5 + 3*g**5 - 2.
(g - 2)*(g + 1)**4
Let l(t) be the first derivative of 35 - 16/33*t**3 + 1/22*t**4 - 19/11*t**2 - 20/11*t. Factor l(b).
2*(b - 10)*(b + 1)**2/11
Let j be 2 - (-16)/(-10) - (-4)/(-10). Suppose -i + j + 2 = 0. Factor -28*w + 21*w - 33*w + 5*w**i + 80.
5*(w - 4)**2
Let p = -100 - -103. Suppose -3 = 5*w + 3*g - 28, p*w - 5*g = -19. Find i, given that -12/7*i + 2/7*i**w + 18/7 = 0.
3
Let u(f) = -1795*f - 138212. Let p be u(-77). What is k in 15/4*k**2 - 21/2*k + 3/2*k**p - 6 = 0?
-4, -1/2, 2
Suppose 2*r = -b + 6, -1303*r - b + 10 = -1299*r. What is x in -44/9*x**2 + 0 - r*x**5 + 118/9*x**3 - 16/9*x - 40/9*x**4 = 0?
-4, -2/9, 0, 1
Let c(h) be the first derivative of -3*h**4/32 - h**3/8 + 9*h**2/4 + 2701. Let c(t) = 0. What is t?
-4, 0, 3
Suppose 4*c = s + 315, -c = -3*s - 36 - 29. Let w(n) = -28*n + 116. Let a be w(4). What is t in -84*t - 5*t**2 + 7*t**a - 3*t**2 + 3*t**3 + 2*t**5 + c*t = 0?
-2, -1/2, 0, 1
Let f be 0 - ((-37)/(2331/84) + (-277)/(-210)). Let z(d) be the second derivative of 0 + 0*d**2 + 1/7*d**3 - 1/21*d**4 - 14*d - f*d**5. Factor z(c).
-2*c*(c - 1)*(c + 3)/7
Let u(z) be the third derivative of 5*z**7/42 - 7*z**6/8 + z**5/15 + 5*z**4/2 + 8*z**3/3 - 912*z**2. Factor u(i).
(i - 4)*(i - 1)*(5*i + 2)**2
Let o(n) = -2*n**3 - n**2 - n + 1. Let j(q) = -2*q + 11*q**3 + q + 6 + q**4 + 5*q + 6*q**2 + 0*q - 10. Let r(u) = j(u) + 4*o(u). Determine x so that r(x) = 0.
-2, -1, 0
Let o(j) = -8*j - 88. Let a be o(-11). Let m(u) = 2*u**2 + 4. Let i be m(a). Suppose 2/9*d**i + 0 + 0*d + 4/9*d**2 + 2/3*d**3 = 0. What is d?
-2, -1, 0
Let h(r) be the third derivative of r**6/240 + 11*r**5/8 + 163*r**4/24 - 192*r**2 - 1. Let h(p) = 0. Calculate p.
-163, -2, 0
Let l(u) = 15*u**2 + 42*u + 39. Let o(t) = 2*t**2 - t - 1. Suppose -10*x = -14*x - 3*w + 19, -w = -4*x - 1. Let c(z) = x*l(z) - 6*o(z). Factor c(s).
3*(s + 1)*(s + 15)
Let h(r) be the third derivative of -22/175*r**7 + 0 + 0*r - 9/280*r**8 + 46*r**2 - 22/225*r**5 - 1/45*r**4 + 0*r**3 - 157/900*r**6. Let h(i) = 0. Calculate i.
-1, -2/9, 0
Let g be (5/4)/(1665/(-60) + 28). Let d(u) be the second derivative of 54*u**2 + 12*u**3 - 11/4*u**4 + 0 + 2*u + 3/20*u**g. Find m such that d(m) = 0.
-1, 6
Factor -252*l**2 - 59/3*l**3 + 1/6*l**4 - 4160/3 - 3088/3*l.
(l - 130)*(l + 4)**3/6
Suppose 3*a - 4*w - 300 - 122 = 0, 4*a + 5*w = 573. Suppose 12*u = 14*u - a. What is m in -45*m**3 + 11 - 15*m**2 + 111*m + 9 - u*m = 0?
-2/3, 1
Let f(k) be the second derivative of -3/22*k**4 - 11*k + 12/11*k**2 + 0*k**3 - 4 - 3/110*k**5. Factor f(z).
-6*(z - 1)*(z + 2)**2/11
Suppose 2*i + b - 1 = 0, 4*i = -37*b + 32*b - 7. Let w(z) be the second derivative of -9*z - 1/34*z**4 + 8/51*z**3 - 9/170*z**5 + 4/17*z**i + 0. Factor w(a).
-2*(a - 1)*(3*a + 2)**2/17
Determine v so that 7336*v + 6727112 - 35*v**2 - 16*v**2 + 87*v**2 - 34*v**2 = 0.
-1834
Suppose 1881/4*r**2 + 1877/4*r - 1 = 0. What is r?
-1, 4/1881
Let c(a) be the first derivative of 7*a**5/20 - 25*a**4/4 - 161*a**3/3 + 1284*a**2 - 720*a + 3944. Suppose c(u) = 0. Calculate u.
-10, 2/7, 12
Let g(t) = 12*t**3 + 808*t**2 + 1364*t - 404. Let s(u) = 25*u**3 + 1617*u**2 + 2728*u - 805. Let j(i) = 7*g(i) - 4*s(i). Factor j(a).
-4*(a + 2)*(a + 49)*(4*a - 1)
Let g(n) be the third derivative of -n**5/420 + 55*n**4/42 + 221*n**3/42 - 2216*n**2. Solve g(c) = 0.
-1, 221
Let o = -416 - -420. Let 19 + 13*s - 4*s**2 - 3 + o*s**3 - 60*s + 31*s = 0. Calculate s.
-2, 1, 2
Let r = 88 + -85. Solve -3*y - 6 - 263*y**3 + 5*y**2 + 262*y**r - 3 = 0.
-1, 3
Let w(j) be the third derivative of -j**7/1400 - j**6/120 - 97*j**3/6 + 97*j**2. Let q(s) be the first derivative of w(s). Suppose q(h) = 0. What is h?
-5, 0
Factor -2912 + 1221*l + 3233*l**3 - 172*l**2 + 3237*l**3 + 563*l - 6466*l**3.
4*(l - 28)*(l - 13)*(l - 2)
Determine b so that -18*b**4 + 11889*b**3 + 10800 - 12759*b**2 + 46242*b**2 + 32760*b + 387*b**4 + 3*b**5 = 0.
-60, -1
Solve -7 - 315*y + 5 + 508*y**2 - 1158*y**2 + 495*y**2 - 8 = 0 for y.
-2, -1/31
Let r(d) = -19*d**2 + 851*d + 884. Let j(b) = 8*b**2 - 426*b - 440. Let i(c) = -7*j(c) - 3*r(c). Factor i(g).
(g + 1)*(g + 428)
Solve 4/9*y**5 + 320/9*y**2 - 148/9*y**4 + 400/9*y**3 + 1088/9 - 1664/9*y = 0 for y.
-2, 1, 2, 34
Let r be 8/(-6)*(-3 + 238/102). Factor r*h**4 - 26/3*h**2 - 20/9*h + 0 - 8*h**3.
2*h*(h - 10)*(2*h + 1)**2/9
Let j(g) = 1035*g - 18629. Let u be j(18). Let o(z) be the first derivative of -1/16*z**6 + 0*z - u - 3*z**2 + 3/4*z**4 + 0*z**5 + 0*z**3. Factor o(r).
-3*r*(r - 2)**2*(r + 2)**2/8
Let s be (-27)/15*50/(-15). Let v be s + ((-18)/4 - (-9)/18). Factor 0*m**v - 1/7*m - 1/7*m**5 + 0*m**4 + 2/7*m**3 + 0.
-m*(m - 1)**2*(m + 1)**2/7
Let w(f) be the second derivative of -f**6/45 + 3*f**5/10 - 7*f**4/6 - f**3/9 + 10*f**2 + 2*f - 392. Solve w(t) = 0 for t.
-1, 2, 3, 5
Let y be (1 + -1 - 206/2163)*-21. Solve 4/3*r + r**y + 0 = 0.
-4/3, 0
Let r = -7674 + 7674. Let t(p) be the third derivative of 5/12*p**4 - 5/336*p**8 + 5/12*p**5 + 1/8*p**6 - 1/42*p**7 + r*p**3 + 0*p + 20*p**2 + 0. Factor t(m).
-5*m*(m - 2)*(m + 1)**3
Let g(d) be the second derivative of -d**5/5 + 7*d**4 + 44*d**3/3 + 2*d + 200. Factor g(y).
-4*y*(y - 22)*(y + 1)
Let h(i) = 2*i**3 + 15*i**2 - 8*i - 4. Let b be h(-5). Let -5*p**4 - 5*p**4 - 186*p + b*p - 16 + 30*p**3 + 40*p**2 - 14 - 5*p**5 = 0. What is p?
-3, -1, 1, 2
Let u(j) be the second derivative of j**8/448 + 13*j**7/504 + j**6/36 - 7*j**4/3 - 9*j - 3. Let h(c) be the third derivative of u(c). Factor h(p).
5*p*(p + 4)*(3*p + 1)
Let y = 68496 - 68494. Factor 1/6*f**y + 1/2 + 2/3*f.
(f + 1)*(f + 3)/6
Let a(x) be the first derivative of -4*x**5/5 - 20*x**4 - 332*x**3/3 + 208*x**2 + 3032. Suppose a(d) = 0. Calculate d.
-13, -8, 0, 1
Let u(j) be the third derivative of -25/2*j**4 + 0*j + 1/4*j**6 - 2*j**2 - 1/42*j**7 - 250/3*j**3 - 47 + 11/12*j**5. Factor u(c).
-5*(c - 5)**2*(c + 2)**2
Factor 4*h**2 + 430002 + 724*h - 430002.
4*h*(h + 181)
Determine y, given that 11*y**3 - 1485 + 9964*y - 26*y**3 + 11*y**3 - 3499 - 6541*y**2 + 1565*y**2 = 0.
-1246, 1
Let r be 6*6/(-18) - -3. Suppose 5*h - r = -5*t + 29, 4*t - 19 = -3*h. Factor -16/5*w + 3/5*w**2 + t.
(w - 5)*(3*w - 1)/5
Let p be 2/40*(0/21)/31. What is x in p + x**3 - 4/7*x - 12/7*x**2 = 0?
-2/7, 0, 2
Let n(y) be the second derivative of 85/3*y**3 + 0 - 5/12*y**4 - 1445/2*y**2 + 66*y. Factor n(d).
-5*(d - 17)**2
Let k(d) = -2*d**3 - d**2. Let f(p) = 7*p**3 + 9*p**2 + 14*p. Suppose -11*u + 239 = 19. Let s(h) = u*k(h) + 5*f(h). Factor s(w).
-5*w*(w - 7)*(w + 2)
Let w be 15/(-6) - (-1196)/368. Suppose -w*r**2 + 1/4*r**3 + 3/4 - 1/4*r = 0. Calculate r.
-1, 1, 3
Let a(d) be the second derivative of -d**4/84 - d**3/42 + d**2/7 + 73*d + 12. Factor a(w).
-(w - 1)*(w + 2)/7
Suppose -3*l = p - 8, -l = 3*p - 4*p. Let h(u) be the second derivative of -54*u**l + 8*u + 0 - 36*u**3 + 2/5*u**6 - 26/5*u**5 + 24*u**4. Factor h(x).
4*(x - 3)**3*(3*x + 1)
Let l(g) be the third derivative of g**5/140 + 15*g**4/2 + 3150*g**3 + 3085*g**2. Solve l(m) = 0 for m.
-210
Let n = 1218253/9 - 135361. What is d in -47/9*d**3 - n*d**4 - 4/3 + 16/9*d**2 + 47/9*d = 0?
-12, -1, 1/4, 1
Suppose 67366 - 8776 = -35*f. Let p = f - -8376/5. Factor -2/5*c**2 + 0 - p*c.
-2*c*(c + 3)/5
Suppose 924*l = -2*d + 923*l + 8, 16 = 4*d - 2*l. Let n(r) be the second derivative of 0*r**2 - 20*r + 0*r**3 - 1/72*r**d + 0. Factor n(k).
-k**2/6
Factor 55/2*s + 1/4*s**2 + 525/4.
(s + 5)*(s + 105)/4
Let j(m) be the third derivative of m**7/840 - 49*m**6/480 + 9*m**5/8 - 131*m**4/24 + 43*m**3/3 - 5616*m**2 - 2*m. Factor j(f).
(f - 43)*(f - 2)**3/4
Let v(i) be the second derivative of i**7/462 - i**6/10 + 31*i**5/110 + i**4/66 - 21*i**3/22 + 31*i**2/22 + 4774*i. Factor v(g).
(g - 31)*(g - 1)**3*(g + 1)/11
Let s be 16/48 + (2*2/6 - -2). Let b(g) be the first derivative of -11/8*g**2 + 2 - 1/12*g**3 + s*g. Factor b(i).
-(i - 1)*(i + 12)/4
Let j(d) be the second derivative of -1/12*d**6 - 43/40*d**5 + 0*d**2 - 11/12*d**4 - d + 0 + 4/3*d**3. Factor j(q).
-q*(q + 1)*(q + 8)*(5*q - 2)/2
Let b(n) be the first derivative of -n**3/21 - 2*n**2 - 160*n/7 + 9773. Determine z so that b(z) = 0.
-20, -8
Let z(v) be the