+ 1/54*b**6 + 7 - 2/15*b**5. Factor q(k).
k**2*(k - 4)*(k - 3)*(k + 1)/9
Let n(y) = -y**3 - 39*y**2 - 72*y + 2383. Let u be n(-35). Let c = 0 + 3. Solve 7/4*s**5 + 0*s - 3/2*s**2 - c*s**4 + 0 - 25/4*s**u = 0 for s.
-1, -2/7, 0, 3
Suppose 100 - 77 + 117 = 28*w. Let l(q) be the third derivative of -1/240*q**w + 7/96*q**4 + 0 + 0*q**3 + 41*q**2 + 0*q. Factor l(z).
-z*(z - 7)/4
Let p(s) = 55*s**2 + 2593*s + 376. Let q be p(-47). Let -4/5*a**2 + 2/5*a**3 + q - 16/5*a = 0. What is a?
-2, 0, 4
Suppose 353*u + 1081*u - 1479 = 142*u + 1105. Factor 105/4*r + 13/2 + r**u.
(r + 26)*(4*r + 1)/4
Factor -2/3*m**2 - 80/3*m + 0.
-2*m*(m + 40)/3
Let n = -5531 - -5535. Let u(x) be the third derivative of -77/90*x**5 + 0*x - 49/180*x**6 - 4/9*x**3 - 8/9*x**n + 0 - 10*x**2. Let u(s) = 0. What is s?
-1, -2/7
Let h = -1 + -5. Let a be h/10 + -5 + 240/25. Factor -a*k + 5*k**3 - 3*k - 7*k + 5*k**2 + 4*k.
5*k*(k - 1)*(k + 2)
Factor 1131 - 2*q**2 + 46 - 4*q + 4 - 31.
-2*(q - 23)*(q + 25)
Let a be ((-40)/(-8) - 4)*(-7)/((-147)/6). Let -4/7*v - a*v**2 + 6/7 = 0. What is v?
-3, 1
Suppose -2*p = 4*i - 17 - 3, 3*p = 2*i - 2. Determine c, given that 4*c**i - 49*c**2 - 5*c**4 - 73041*c**3 + 73027*c**3 = 0.
-7, 0
Let r = 11587 - 57931/5. Let j(x) be the first derivative of 784/15*x**3 + 10 - 56/5*x**2 + r*x. Factor j(d).
4*(14*d - 1)**2/5
Let a(j) be the second derivative of 3 - 4/3*j**2 + 3*j - 1/60*j**5 - 1/36*j**4 + 5/9*j**3. Factor a(q).
-(q - 2)*(q - 1)*(q + 4)/3
Let z(y) = y**3 - 7*y**2 + 13*y - 5. Let g be z(5). Suppose 3*w = -2*w + g. Factor 0 + 4/7*n - 1/7*n**3 + 3/7*n**w.
-n*(n - 4)*(n + 1)/7
Let w(l) be the second derivative of l**5/80 + 35*l**4/48 + 403*l**3/24 + 1521*l**2/8 + 2198*l - 1. Factor w(n).
(n + 9)*(n + 13)**2/4
Let z = -1906 - -329741/173. Let p = 331/865 + z. Factor -p*s**2 - 16/5*s - 32/5.
-2*(s + 4)**2/5
Let r(y) = 30 - 10*y - 7*y - y + 6*y - 28*y. Let t(k) = k**3 + 41*k - 30. Let n(h) = 6*r(h) + 5*t(h). Determine v, given that n(v) = 0.
-3, 1, 2
Let h be ((-10)/6)/((-1)/609). Suppose h = 15*d - 10*d. Factor -o**4 - d*o**5 + 205*o**5 + 2*o**3 + 5*o**4.
2*o**3*(o + 1)**2
Let s(x) = 29*x - 372. Let g be s(13). Factor 0*a**5 - 5*a**3 + 195*a**2 + g*a**4 + a**5 + 13*a**3 - 191*a**2.
a**2*(a + 1)*(a + 2)**2
Let i(d) be the third derivative of d**6/30 - 13*d**5/3 - 67*d**4/3 + 11*d**2 - 4*d - 2. Solve i(s) = 0.
-2, 0, 67
Suppose -608/13 + 610/13*g - 2/13*g**2 = 0. Calculate g.
1, 304
Let j(f) be the second derivative of -f**7/210 - 34*f**6/75 - 1153*f**5/100 + 101*f**4/30 + 1666*f**3/15 - 1156*f**2/5 + 701*f. Let j(h) = 0. What is h?
-34, -2, 1
Let b(r) be the second derivative of 47*r**5/12 - 7*r**4/2 - 103*r**3/18 - r**2 + 719*r. Factor b(j).
(j - 1)*(5*j + 2)*(47*j + 3)/3
Let 2/7*s**3 - 886/7 - 2/7*s + 886/7*s**2 = 0. Calculate s.
-443, -1, 1
Let q(c) be the third derivative of c**10/453600 - c**9/90720 + c**8/60480 + 91*c**5/60 + 2*c**2 + 10*c. Let r(g) be the third derivative of q(g). Factor r(w).
w**2*(w - 1)**2/3
Let p(g) = -g**2 + 23*g + 82. Let r be p(26). Factor 6*i**5 + 509*i**4 - 4*i**5 - 479*i**r.
2*i**4*(i + 15)
Let c be 16/6*(-15 - -27). Let j be 45/15 + (-76)/c. What is p in j*p**4 - 1/4*p + 9/8*p**3 - 5/8*p**2 + 0 - 7/8*p**5 = 0?
-1, -2/7, 0, 1
Let h(w) be the first derivative of -2*w**3/9 - 424*w**2 - 269664*w - 1933. Factor h(o).
-2*(o + 636)**2/3
Let g be (-1 - -13)/(3/(-12)). Let o be 38/10 - g/(-60). Solve 12*n**2 - 38*n + 26*n - 2 + 6 - 4*n**o = 0.
1
Let p(g) be the third derivative of -1/945*g**7 + 1/36*g**6 + 2*g + 46*g**2 + 0*g**3 + 0 + 0*g**4 - 7/135*g**5. Let p(k) = 0. What is k?
0, 1, 14
Suppose 3*s = -3*s + 192. Let z = -87 + 92. Factor 1123 + s*r**4 - 1123 - 20*r**z + 16*r**3.
-4*r**3*(r - 2)*(5*r + 2)
Let o(f) = -f**3 - 7*f**2 - 10*f. Let r be o(-7). Let h = -52 + r. Factor 5*k + 17*k - 30*k**2 + 5*k**4 - 15 + h*k.
5*(k - 1)**3*(k + 3)
Let q = -735572 + 735574. Factor -4 + 1/2*d**q + d.
(d - 2)*(d + 4)/2
Suppose -2*k + 14 = -2*h, 5*k + 2*h - 1855 + 1820 = 0. Let q(t) be the first derivative of -15/4*t**4 + 3*t + 15/2*t**2 + k - t**3. Factor q(f).
-3*(f - 1)*(f + 1)*(5*f + 1)
Let v(z) be the first derivative of 2*z**6/3 - 32*z**5/5 + 15*z**4 + 16*z**3/3 - 40*z**2 + 482. Factor v(b).
4*b*(b - 5)*(b - 2)**2*(b + 1)
Let v(o) be the second derivative of -o**4/66 + 478*o**3/11 + 5719*o. Suppose v(h) = 0. Calculate h.
0, 1434
Let d(n) be the first derivative of -n**6/180 - 7*n**5/60 - n**4/2 + 87*n**3 + 179. Let o(c) be the third derivative of d(c). Factor o(u).
-2*(u + 1)*(u + 6)
Let h(t) be the third derivative of 0*t**4 - 2 + 0*t**3 + 0*t - 1/75*t**7 + 1/150*t**6 + 1/420*t**8 + 2*t**2 + 1/50*t**5. Find v such that h(v) = 0.
-1/2, 0, 1, 3
Factor 28*g - 12*g**4 - 24*g**3 - 2*g**5 + 10*g**2 - 57*g**2 + 27*g**2 - 34*g.
-2*g*(g + 1)**3*(g + 3)
Let k(l) = 5*l**2 + 36*l + 27. Suppose 40*r = 32*r + 40. Let h(t) = -5*t**2 - 35*t - 25. Let s(c) = r*k(c) + 4*h(c). What is u in s(u) = 0?
-7, -1
Let g(h) be the first derivative of h**4/16 - h**3/12 - 13*h**2/4 - 6*h - 3323. Factor g(z).
(z - 6)*(z + 1)*(z + 4)/4
Let z(d) be the first derivative of 25/3*d**3 - d**5 + 0*d**2 + 0*d**4 + 21 - 20*d. Determine r, given that z(r) = 0.
-2, -1, 1, 2
Let v(t) be the third derivative of -15/2*t**3 + 1/24*t**6 - 3*t + 25/8*t**4 + 0 + 26*t**2 - 7/12*t**5. Factor v(j).
5*(j - 3)**2*(j - 1)
Let j be (-81)/8181*0*(-1)/11. Find c, given that 8/7*c**2 + j + 0*c - 22/7*c**4 - 16/7*c**3 + 30/7*c**5 = 0.
-2/3, 0, 2/5, 1
Let -884000/3*f - 265680*f**3 - 4374*f**5 + 412800*f**2 + 71928*f**4 + 80000 = 0. Calculate f.
10/9, 12
Let f = 1493153 + -1493150. Let -2/5*t + 0*t**2 + 1/10*t**f + 0 = 0. What is t?
-2, 0, 2
Let b(t) be the third derivative of t**6/80 + t**5/8 - 61*t**4/16 + 55*t**3/4 + 1293*t**2. Let b(i) = 0. What is i?
-11, 1, 5
Let g(w) be the second derivative of -w**4/4 - 23*w**3 + 441*w**2/2 + 13*w + 25. Factor g(f).
-3*(f - 3)*(f + 49)
Let c(o) be the second derivative of -o**5/40 - 7*o**4/24 + 5*o**3/2 - 4*o + 30. Solve c(p) = 0 for p.
-10, 0, 3
Let w(s) be the third derivative of -11*s**5/40 - 37*s**4/96 - 5*s**3/24 - 663*s**2. Factor w(p).
-(3*p + 1)*(22*p + 5)/4
Suppose 4*p + 24 = 2*w, -5*w = -29*p + 33*p - 130. Factor -k**2 + 8*k - k**2 + w - 10*k + 22*k.
-2*(k - 11)*(k + 1)
Let q = 5667 - 5667. Let x(i) be the second derivative of q*i**2 + 0*i**3 - 1/42*i**4 + 0 + 12*i. Factor x(w).
-2*w**2/7
Let z(h) be the first derivative of 16/15*h**3 + 0*h + 16/15*h**2 + 72 + 2/75*h**5 + 3/10*h**4. Suppose z(p) = 0. Calculate p.
-4, -1, 0
Let l(s) be the second derivative of s**4/30 - 12*s**3/5 + 52*s**2 - 2429*s. Factor l(n).
2*(n - 26)*(n - 10)/5
Let c(n) be the second derivative of -n**9/68040 - n**8/2520 + n**7/252 - 55*n**4/6 - 2*n + 46. Let y(v) be the third derivative of c(v). Factor y(p).
-2*p**2*(p - 3)*(p + 15)/9
Let y = -353 - -168. Let o be 34/18 + y/111. Factor -o*d + 2/9*d**2 + 0.
2*d*(d - 1)/9
Suppose -53*v = -4*g - 54*v + 14, 5*v - 24 = 3*g. Let i(f) be the second derivative of 2/9*f**3 + 0 - 1/2*f**g - 1/36*f**4 + 36*f. Factor i(z).
-(z - 3)*(z - 1)/3
Let o = 758/2505 + -6/167. Let d(u) be the first derivative of 0*u**2 - o*u**3 + 6 + 4/5*u. Determine k so that d(k) = 0.
-1, 1
Let n = -225 - -269. Let g(v) = -v**4 - v**3 + v**2 - 1. Let p(a) = -20*a**4 - 38*a**3 + 52*a**2 + 16*a - 54. Let x(t) = n*g(t) - 2*p(t). What is l in x(l) = 0?
-1, 1, 4
What is v in 864*v**2 + 812*v**2 - 63 + 150*v - 10*v**3 - 1473*v**2 = 0?
-1, 3/10, 21
Let y(d) be the first derivative of -d**3 + 9*d**2/2 + 54*d + 1041. Factor y(n).
-3*(n - 6)*(n + 3)
Let z(y) be the second derivative of -y**8/1008 + 2*y**7/315 - y**6/72 + y**5/90 + 11*y**2/2 - 25*y. Let k(p) be the first derivative of z(p). Factor k(s).
-s**2*(s - 2)*(s - 1)**2/3
Let k(a) = a**2 - 4*a - 16. Let h be k(-3). Let r(d) be the first derivative of -12 + 0*d**4 - 2/15*d**h + 2/3*d**3 + 0*d - 2/3*d**2. Factor r(f).
-2*f*(f - 1)**2*(f + 2)/3
Let x(h) be the third derivative of -7/3*h**3 + 0*h + 1/120*h**5 + 0 + 1/16*h**4 - 6*h**2. Find z, given that x(z) = 0.
-7, 4
Let i(z) be the first derivative of z**2/2 + 5*z + 8. Let j be i(-1). Factor 139*c + 16*c**2 - 595*c**3 + 62*c**2 + 40 + 12*c**2 + 245*c**j + 81*c.
5*(c - 2)*(c - 1)*(7*c + 2)**2
Suppose 1 - 4 = d. Let c be (-4)/(-1 + d/(-5)). Factor -4*y**3 + 