*5.
-2*k*(k + 1)**4/5
Let x(z) be the second derivative of -z**7/210 + z**6/60 - 31*z**2/2 + 8*z. Let l(d) be the first derivative of x(d). Factor l(n).
-n**3*(n - 2)
Let x(z) = z**4 - z**3 + z**2 - z + 2. Let f(d) = -6*d**4 + 13*d**3 - 42*d**2 + 55*d - 34. Let t(i) = 2*f(i) + 14*x(i). Factor t(j).
2*(j - 2)*(j - 1)**2*(j + 10)
Suppose -5*j = x - 15, 6*j = 3*j - 3. Suppose -2*a = 4*h - x, -5*a = -2*a + 4*h - 24. Factor -24*i**3 + 22*i**2 + 16*i**4 - 6*i**2 + i - a*i**5 - 5*i.
-4*i*(i - 1)**4
Factor -90*o**2 + 193*o**2 + 29*o - o - 93*o**2 - 2*o**3.
-2*o*(o - 7)*(o + 2)
Let q(k) be the first derivative of k**7/280 - k**5/10 - 11*k**3 + 18. Let j(r) be the third derivative of q(r). Factor j(i).
3*i*(i - 2)*(i + 2)
Let n be (320/200)/((-70)/(-50)). Solve 0*f - 2/7*f**2 + n = 0 for f.
-2, 2
Let h(c) = -5*c**2 + 14*c - 21. Let a(x) = 14*x**2 - 41*x + 65. Let n(g) = -6*a(g) - 17*h(g). Factor n(b).
(b - 3)*(b + 11)
Let t(k) be the first derivative of -2/5*k - 8 + 2/45*k**3 - 2/15*k**2. Factor t(d).
2*(d - 3)*(d + 1)/15
Let l(d) = -d**3 - 6*d**2 - 41*d + 30. Let o(u) = -2*u**3 - 17*u**2 - 122*u + 90. Let w(p) = -17*l(p) + 6*o(p). Factor w(j).
5*(j - 2)*(j - 1)*(j + 3)
Let p(z) be the third derivative of -z**9/151200 + z**8/50400 + z**7/6300 + z**5/10 - 12*z**2. Let i(d) be the third derivative of p(d). Factor i(j).
-2*j*(j - 2)*(j + 1)/5
Factor 143*q**2 - 139*q**2 + 19*q**3 - 17*q**3 - 2*q**4.
-2*q**2*(q - 2)*(q + 1)
Let z = -29 - -77. Let s = 97/2 - z. Factor -s*d**2 - 1/2 + d.
-(d - 1)**2/2
Let r = -2559/81055 - -1/1247. Let g = 28/65 + r. Let 6/5*c**4 - 2/5*c**3 + 4/5*c - 6/5*c**2 - g*c**5 + 0 = 0. What is c?
-1, 0, 1, 2
Let f = 84 + -80. Determine p so that -5*p**f - 78 - 47 - 71*p - 30*p**2 + 40*p**3 - 129*p = 0.
-1, 5
Let h = 14 + -14. Suppose h*m = -4*m. Factor 0*c**2 + c + 2*c + m*c**2 - 4*c**3 - 1.
-(c + 1)*(2*c - 1)**2
Solve -2/5*g**2 - 1/10*g + 2/5 + 1/10*g**3 = 0.
-1, 1, 4
Let d = -220893/5 + 44181. Factor d*m - 14/5*m**2 + 2/5*m**4 + 0 + 0*m**3.
2*m*(m - 2)*(m - 1)*(m + 3)/5
Let x(r) be the first derivative of -8*r**5/105 - 2*r**4/7 - 3*r**3/7 + 3*r**2 - 8. Let z(g) be the second derivative of x(g). Factor z(y).
-2*(4*y + 3)**2/7
Suppose -4*t + 37 = -q + 6*q, 5*t = 5*q - 10. Factor 2*j**2 + 50 + q*j + 6*j - 31*j.
2*(j - 5)**2
Suppose -14*j - 12 = -8*j. Let t be (-12)/j*7/14. Factor 1/3*q**2 - 1/3*q**5 + 0 + 1/3*q**t - 1/3*q**4 + 0*q.
-q**2*(q - 1)*(q + 1)**2/3
Let c(r) = 23*r**2 - 23*r - 16. Let z(s) = -15*s**2 + 15*s + 10. Let h(d) = -5*c(d) - 8*z(d). Factor h(v).
5*v*(v - 1)
Factor 0 + 80/7*q - 4/7*q**2.
-4*q*(q - 20)/7
Suppose 9*l - 7*l - 8 = 0. Factor 20*q**2 + 19*q + 14*q - q**4 - 25*q - 19*q**l - 8*q**3.
-4*q*(q - 1)*(q + 1)*(5*q + 2)
What is j in -20/3*j + 16/9 - 2/3*j**3 + 38/9*j**2 = 0?
1/3, 2, 4
Let s = -5284/7 - -79316/105. Factor -34/15*v**2 + 24/5*v - s.
-2*(v - 2)*(17*v - 2)/15
Suppose 20 + 6 = 2*p. Let g = p - 11. Factor -2 - 2*c**2 - 10*c + g*c - 6.
-2*(c + 2)**2
Let o(j) be the first derivative of 2*j**6/3 - 52*j**5/5 + 41*j**4 - 188*j**3/3 + 36*j**2 - 1048. Suppose o(t) = 0. Calculate t.
0, 1, 2, 9
Let a = -14 + -43. Let g be a/19 + 3 + 0. Factor 0*p**2 + 0*p + g + 3/4*p**3 + 9/4*p**4.
3*p**3*(3*p + 1)/4
Let x(b) = 89*b**2 - 2*b + 3. Let g be x(1). Let u be 4/45 - (-12)/g. Determine y, given that 0*y + u*y**2 - 2/9 = 0.
-1, 1
Let z be -25 + 26 - ((8/1)/4 - 1). Factor -4/3 + 4/3*c**2 + z*c.
4*(c - 1)*(c + 1)/3
Let h be -2*(-138)/(-23) - (-42)/3. Factor 0 + 0*m - 1/3*m**h + 1/3*m**5 + 1/3*m**4 - 1/3*m**3.
m**2*(m - 1)*(m + 1)**2/3
Let r be (-4)/1 - 32 - -2. Let t be (-1)/2 + (-85)/r. Factor 3*u**t + 15/4*u + 3/4*u**3 + 3/2.
3*(u + 1)**2*(u + 2)/4
Suppose 0 = r + 4*d + 30, 802*r - 801*r + 38 = -5*d. Factor 4/11*v - 1/11*v**4 - 4/11*v**3 - 3/11*v**r + 4/11.
-(v - 1)*(v + 1)*(v + 2)**2/11
Let y(d) be the first derivative of 8/15*d**3 + 0*d**2 - 4/25*d**5 + 0*d - 20 - 1/5*d**4. Determine l, given that y(l) = 0.
-2, 0, 1
Suppose 330*a - 354*a = -96. Let u(q) be the first derivative of -3/8*q**2 + 1/16*q**a + 0*q**3 + 1/2*q - 10. Factor u(s).
(s - 1)**2*(s + 2)/4
Let r be -2*2/6*-3. Suppose 1 + 12*i**r - 1 + 3*i - 4 - 11*i = 0. What is i?
-1/3, 1
Let s(w) be the third derivative of w**5/60 - w**4/3 + 10*w**3/3 - 6*w**2. Let k be s(13). Determine v, given that -35*v - v**2 - v + 5*v**2 - k*v**2 + 12 = 0.
-2/3, 2/9
Let s = 119 - 116. Suppose -19*m**3 - 8*m**2 + 18*m**3 - 16 + 5*m**s - 28*m = 0. Calculate m.
-1, 4
Suppose -5*n + 2*y = -2*y - 5, 4*n + 5*y - 45 = 0. Find k such that 10*k**5 + 40*k - 75*k**3 - 2*k**n - 26*k**4 + 50*k**2 + k**4 + 2*k**5 = 0.
-2, -1/2, 0, 1, 4
Solve -18*d**2 + 20*d**2 - 88*d - 108 + 18 = 0 for d.
-1, 45
Determine c, given that 108 - 4/3*c**3 - 84*c - 68/3*c**2 = 0.
-9, 1
Let u(g) be the third derivative of -g**8/672 + g**7/60 - g**6/40 - 4*g**5/15 + 2*g**4/3 - 123*g**2. Solve u(h) = 0.
-2, 0, 1, 4
Let w be ((-2)/(-8))/(2/24) + -1. What is x in -5*x - 5*x**2 + w*x + 13*x = 0?
0, 2
Suppose y + 15 = 6*y. Let o be 40/(52/220*5 - 2/11). Factor 8/3 + 198*i**2 + 968/3*i**y + o*i.
2*(4*i + 1)*(11*i + 2)**2/3
Factor 8/5 + 2/5*u**3 + 0*u - 6/5*u**2.
2*(u - 2)**2*(u + 1)/5
Factor 4/3*v**3 + 0 + 8*v - 20/3*v**2.
4*v*(v - 3)*(v - 2)/3
Factor 1108*n**4 - 2*n**2 - 316*n**4 + 23*n**2 + 32*n**5 + 76*n**5 + 255*n**3.
3*n**2*(n + 7)*(6*n + 1)**2
Let a(c) be the second derivative of c**4/16 - c**3/2 - 9*c**2/2 + 2*c + 40. Factor a(y).
3*(y - 6)*(y + 2)/4
Factor 0 - 12/7*z**5 + 6/7*z**4 + 0*z**3 + 0*z**2 + 0*z.
-6*z**4*(2*z - 1)/7
Suppose 0 = -w + 52*m - 40*m + 5, -2*w + 2*m = -10. Factor -145/8*s**3 - 1/8*s**w - 225/4*s**2 - 135/2*s - 27 - 5/2*s**4.
-(s + 1)**2*(s + 6)**3/8
What is i in -273*i**2 + 48048*i - 181*i**2 - 164*i**2 - 47432 + 2*i**3 = 0?
1, 154
Let o(p) = p**3 - 3*p. Suppose 38*g + 25 = 33*g. Let u(t) = t**3 - 6*t. Let n(h) = g*o(h) + 2*u(h). Find f, given that n(f) = 0.
-1, 0, 1
Let y be 1/(-6) + 95/210. Let d(n) = n - 17. Let x be d(19). Factor 2/7*i + 0 + y*i**x.
2*i*(i + 1)/7
Let q(u) be the second derivative of u**9/8064 + u**8/896 + u**7/560 - 7*u**3/2 + 14*u. Let h(z) be the second derivative of q(z). Find c, given that h(c) = 0.
-4, -1, 0
Let r = -3185 - -3187. Factor 12/5*u + 0 - 4/5*u**r.
-4*u*(u - 3)/5
Let j(x) be the third derivative of -x**8/504 + 2*x**7/315 + x**6/90 - 2*x**5/45 - x**4/36 + 2*x**3/9 - 34*x**2 - 2*x. Find b such that j(b) = 0.
-1, 1, 2
Factor -1/4*s**5 + 0*s**2 - 7/2*s**4 + 0 + 0*s - 49/4*s**3.
-s**3*(s + 7)**2/4
Let 228*q - q**3 + 4*q**3 + 72*q**2 + 274*q - 70*q = 0. What is q?
-12, 0
Let k(w) be the first derivative of 8/5*w - 3 + 2/5*w**2 - 4/15*w**3. Determine c so that k(c) = 0.
-1, 2
Let y(i) = -i**4 + i**3 + i**2 + i - 1. Let x(u) = -10*u**4 + 2*u**3 + 5*u**2 + 21*u - 9. Let k(o) = -4*x(o) + 36*y(o). Let k(t) = 0. Calculate t.
-6, -2, 0, 1
Let w = -906 - -9982/11. Suppose -w + 60/11*u - 14/11*u**2 = 0. Calculate u.
2/7, 4
Let q(j) = 3*j**3 + 25*j**2 - 13*j - 8. Let b(h) = -2*h**2 + h. Let c(m) = -28*b(m) - 4*q(m). Factor c(y).
-4*(y - 1)*(y + 4)*(3*y + 2)
Let v(d) be the third derivative of 0*d**3 + 1/30*d**5 + 0*d**6 - 1/105*d**7 - 3 + 0*d + 0*d**4 - 13*d**2. Factor v(h).
-2*h**2*(h - 1)*(h + 1)
Let t(w) be the first derivative of w**6/30 - 108*w**5/25 + 971*w**4/5 - 15408*w**3/5 - 7776*w**2/5 + 186624*w/5 - 249. What is l in t(l) = 0?
-2, 2, 36
Let j(s) be the first derivative of s**5/5 - s**3 - s**2 - 52. Suppose j(z) = 0. Calculate z.
-1, 0, 2
Let i be (-1221)/(-10725) - 1/(-25). Let -i*t**4 + 2/13*t**5 - 2/13*t**3 + 0*t + 0 + 2/13*t**2 = 0. What is t?
-1, 0, 1
Let x = -79/28 + 25/7. Solve -1/4*t**4 + 3/4*t**3 + 0 - x*t**2 + 1/4*t = 0 for t.
0, 1
Suppose -5*a + 4*a - 23 = q, 5*q + 2*a = -121. Let z(x) = -x**2 - 28*x - 72. Let b be z(q). Let 0*l**2 + 4/7*l**4 + 4/7*l**b + 0 + 0*l = 0. Calculate l.
-1, 0
Let s(y) be the third derivative of 1/200*y**5 + 0*y + 1/30*y**3 + 11*y**2 - 1/1200*y**6 - 1/2100*y**7 + 0 + 1/48*y**4. Factor s(t).
-(t - 2)*(t + 1)**3/10
Let k(i) = 4*i**3 + i**2 - 3*i - 3. Let u(z) = 7*z**3 + 2*z**2 - 8*z - 8. Let d(m) = -5*k(m) + 3*u(m). What is h in d(h) = 0?
-3, -1, 3
Let u(r) be the first derivative of -12*r + 0*r**3 - 11 + 1/5*r**5 + 0*r**2 - 1/3*r**4. Let z(a) be the first derivative of u(a). Suppose z(j) = 0. What is j?
0, 1
Let d(m) be the 