*c**3 - 1447*c**2. Determine s so that m(s) = 0.
-1, 3
Factor -1/2*y**3 - 576*y - 35*y**2 + 1296.
-(y - 2)*(y + 36)**2/2
Let x = -60 + 65. Suppose -3*a + 8 = -2*y, -4*a - a = x*y - 30. Factor -2*t**y + 4 + 6*t + 4*t - 12*t.
-2*(t - 1)*(t + 2)
Let x(z) be the third derivative of z**8/40320 + z**7/2520 - z**6/288 - z**5/60 + 21*z**4/8 - 208*z**2. Let k(n) be the third derivative of x(n). Factor k(r).
(r - 1)*(r + 5)/2
Let o be 1 - -8 - (-15 + 2080/(-52)*(-9)/15). Factor o*c**3 + 2/17 + 0*c + 2/17*c**4 - 4/17*c**2.
2*(c - 1)**2*(c + 1)**2/17
Let i = 15505 + -15503. Factor -1/4*l + 0 + 1/2*l**i + 1/4*l**5 - 1/2*l**4 + 0*l**3.
l*(l - 1)**3*(l + 1)/4
Let q(i) be the third derivative of -i**6/40 + 7*i**5/10 + 7*i**2 + 34. Determine m so that q(m) = 0.
0, 14
Let d(s) = -1860*s + 38. Let c be d(0). Let i(h) be the first derivative of c + 0*h**4 + 0*h - 2/25*h**5 + 0*h**3 + 0*h**2 + 4/15*h**6. Factor i(z).
2*z**4*(4*z - 1)/5
Let x(q) be the third derivative of q**6/140 + 4*q**5/105 + q**4/28 - 2*q**3/21 - 1168*q**2. Let x(b) = 0. What is b?
-2, -1, 1/3
Suppose 48*x - 36*x = 36. Factor -281 + 30*g**3 + 2200*g**2 + 5*g**4 + 210*g - 72*g**x - 1924 - 168*g**3.
5*(g - 21)**2*(g - 1)*(g + 1)
Let j(m) be the third derivative of m**5/30 + 333*m**4/2 + 332667*m**3 - 3*m**2 + 2. What is u in j(u) = 0?
-999
Let a = 10644 - 10644. Let l(n) be the second derivative of a - 27/16*n**2 - 25*n + 1/32*n**4 + 1/2*n**3. Determine j so that l(j) = 0.
-9, 1
Let s = -26738 - -508024/19. Suppose 64/19 - 64/19*r - 12/19*r**2 + s*r**4 + 10/19*r**3 = 0. What is r?
-4, 1, 2
Suppose -a + 9*a - 328 = 0. Let v = a - 37. Find k, given that -2*k**2 + 0*k**3 - v*k**3 + 3*k**2 + 3*k**3 = 0.
0, 1
Let l be ((-3)/(-2))/(1/2). Suppose 38*z + j = 42*z - 5, 4*j = 3*z + 6. Solve p - 19*p**3 - 37*p**z - 17*p**l + 301 - 299 = 0 for p.
-1, -1/4, 2/9
Factor -2/7*t**3 + 0 - 24/7*t**2 - 22/7*t.
-2*t*(t + 1)*(t + 11)/7
Suppose -3*c + 16 = -4*c, 5*w - 156*c = -154*c + 52. Factor -1/3*n**w - 8 - 10*n**2 - 44/3*n - 3*n**3.
-(n + 2)**3*(n + 3)/3
Suppose -1728*m**2 + 0 + 576*m - 374/3*m**4 - 972*m**3 - 14/3*m**5 = 0. Calculate m.
-12, -3, 0, 2/7
Let c(v) = -2*v**2 + 7*v. Let p be (2 + 3)/(1 - 18/21). Suppose 3*g = p - 14. Let w(j) = 5*j**2 - 15*j. Let k(s) = g*c(s) + 3*w(s). Factor k(f).
f*(f + 4)
Let s(u) be the first derivative of u**4/22 - 2*u**3/11 - 2*u**2 + 48*u/11 + 1613. Factor s(c).
2*(c - 6)*(c - 1)*(c + 4)/11
Let q(b) be the third derivative of -1/210*b**5 + 0 - 5/28*b**4 + 0*b + 93*b**2 + 0*b**3. Factor q(l).
-2*l*(l + 15)/7
Let b(o) be the third derivative of o**5/20 - 11*o**4/4 - 24*o**3 + 170*o**2. Find s, given that b(s) = 0.
-2, 24
Find q, given that -75809*q**2 + 28198*q**2 + 30952*q**3 - 28900 + 20292*q + 67088*q - 692*q**4 + 4*q**5 - 41133*q**2 = 0.
1, 85
Factor -d**4 - 46*d + 3*d**4 + 182*d - 136*d - 36*d**3.
2*d**3*(d - 18)
Let d(z) be the first derivative of -z**3/6 + 141*z**2/4 + 441*z - 1737. Factor d(p).
-(p - 147)*(p + 6)/2
Let f(v) be the first derivative of -1/12*v**4 - 30*v + 25 - 1/2*v**3 + 0*v**2. Let k(r) be the first derivative of f(r). Let k(m) = 0. What is m?
-3, 0
Let i(r) be the second derivative of 0 - 3/40*r**5 + 18*r + 0*r**2 + 0*r**3 + 1/4*r**4. Suppose i(s) = 0. Calculate s.
0, 2
Let g(t) = -49*t**3 + 47*t**2 + 172*t + 126. Let b(x) = -169*x**3 + 141*x**2 + 514*x + 379. Let f(o) = -2*b(o) + 7*g(o). Factor f(m).
-(m + 1)*(m + 2)*(5*m - 62)
Let c(w) be the first derivative of -w**4/10 - 766*w**3/5 - 440067*w**2/5 - 112363774*w/5 + 76. Solve c(j) = 0.
-383
Suppose 0 = 10*d - 33 - 47. Let a = 39 + -32. Factor d*n**2 + 4*n - 2 + 5 - a*n**2.
(n + 1)*(n + 3)
Suppose h - 4 = -2*t + 3*t, -4*h = 5*t - 52. Suppose -4*m = -h, -22*r + 21*r = m - 5. Factor 2/3*u**2 - 2/3*u**4 - 2/3*u + 0 + 2/3*u**r.
-2*u*(u - 1)**2*(u + 1)/3
Let o be (2/(-9))/((46/(-36))/23). Let k(r) be the first derivative of -r**o + 0*r - 2 - 4/3*r**3 + 4/5*r**5 + 2/3*r**6 + 0*r**2. Suppose k(t) = 0. What is t?
-1, 0, 1
Let p(v) be the third derivative of v**6/300 - 73*v**5/75 + 259*v**4/3 + 10952*v**3/15 + 2*v**2 - 982*v. Factor p(g).
2*(g - 74)**2*(g + 2)/5
Let x be 2/((-22)/33) - (3 - (10 + -2)). Let l(b) be the first derivative of 1/3*b**3 - 3/2*b**x - 4*b + 4. Solve l(m) = 0.
-1, 4
Let g(h) = -22*h**2 - 638*h - 1828. Let l(j) = 15*j**2 + 425*j + 1220. Let m(a) = 5*g(a) + 7*l(a). Determine o so that m(o) = 0.
-40, -3
Suppose 2*i - 15 = -9*l + 4*l, i - 4*l = -12. Suppose 22*s - 32*s + 20 = i. Factor 5/2*q**3 - 10 + 0*q + 15/2*q**s.
5*(q - 1)*(q + 2)**2/2
Let j(s) be the third derivative of 1/60*s**6 - 1/10*s**5 + 55*s**2 + 1/315*s**7 + 5/36*s**4 + 0 + 0*s**3 + 0*s. What is k in j(k) = 0?
-5, 0, 1
Suppose -67*m + 275 = 275. Let k(n) be the third derivative of -1/54*n**4 - 36*n**2 + 0 - 1/270*n**5 + 1/9*n**3 + m*n. Factor k(j).
-2*(j - 1)*(j + 3)/9
Let p(z) = 6*z**3 + z**2. Let k(u) = -5*u**4 + 39*u**3 - 71*u**2 - 120*u. Let q(m) = -k(m) - p(m). Factor q(s).
5*s*(s - 6)*(s - 4)*(s + 1)
Let t be (136/102)/(21 + -13). Determine v, given that -t*v**3 + 1/6*v**4 - 1/6*v**2 + 1/6*v + 0 = 0.
-1, 0, 1
Factor -57*p**2 - 167*p - 4*p**3 + 975*p + 1120 - 150*p**2 + 323*p**2.
-4*(p - 35)*(p + 2)*(p + 4)
Let h(c) be the second derivative of c**7/168 + 7*c**6/60 + 4*c**5/5 + 59*c**4/24 + 95*c**3/24 + 7*c**2/2 + 3978*c. Find y such that h(y) = 0.
-7, -4, -1
Let a(b) = -4*b**2 - 93*b - 998. Let p(j) = -j**2 - 45*j - 500. Let o(s) = -2*a(s) + 5*p(s). Factor o(m).
3*(m - 21)*(m + 8)
Find i, given that 99*i**4 - 41*i**4 - 5*i + 30*i + 67*i**4 + 225*i**3 - 5*i + 120*i**2 = 0.
-1, -2/5, 0
Let r(a) = -a**4 - 2*a**2 - a - 1. Let b(g) = 7*g**4 - 3*g**3 + 2*g**2 + 6*g + 6. Let c(n) = -b(n) - 6*r(n). Let c(p) = 0. Calculate p.
-2, 0, 5
Let f = 17078/76689 - 4/8521. Determine l so that 44/3*l + f*l**2 + 242 = 0.
-33
Let c(z) = -10*z**2 + 148*z - 276. Let w(y) = 14*y**2 - 148*y + 270. Let p(k) = 3*c(k) + 2*w(k). Solve p(f) = 0.
2, 72
Let f = -21/68 - -3143/1700. Let v = f - 26/25. Let 1/6*o**3 + 1/6*o**4 + 1/3 - 1/6*o - v*o**2 = 0. What is o?
-2, -1, 1
Factor 1069*f**3 + 992*f**3 - 3*f - 768*f**2 + 768 - 2058*f**3.
3*(f - 256)*(f - 1)*(f + 1)
Let j(c) be the second derivative of -5*c**8/336 + c**6/8 + c**5/6 + 67*c**2/2 + 39*c. Let r(v) be the first derivative of j(v). Find k, given that r(k) = 0.
-1, 0, 2
Let m(q) be the second derivative of q**5/60 - 4*q**4/9 - 41*q**3/6 - 33*q**2 - 4258*q. Find d, given that m(d) = 0.
-3, 22
Suppose -2254/5*m - 4639/5*m**2 - 344/5*m**3 - 279/5 + 16/5*m**4 = 0. Calculate m.
-9, -1/4, 31
Let i(p) be the second derivative of -4*p**6/135 + 82*p**5/45 - 1597*p**4/54 - 574*p**3/9 - 49*p**2 + p - 186. Find n, given that i(n) = 0.
-1/2, 21
Let f(p) be the second derivative of 3*p**5/20 + 27*p**4/2 + 105*p**3/2 + 78*p**2 - 1212*p. Factor f(h).
3*(h + 1)**2*(h + 52)
Let l(a) be the second derivative of -1/3*a**3 - 4*a**2 + 7/30*a**5 + 3*a + 0 + 1/6*a**4 + 1/15*a**6. Let s(o) be the first derivative of l(o). Factor s(m).
2*(m + 1)**2*(4*m - 1)
Let v(l) be the first derivative of l**4/2 + 40*l**3/3 - 75*l**2 - 4500*l + 2976. Find m such that v(m) = 0.
-15, 10
Let f(s) be the second derivative of 0 - 1/90*s**6 + 2/15*s**5 + 5/2*s**2 - 7/18*s**4 - 4/9*s**3 + 131*s. Determine z so that f(z) = 0.
-1, 1, 3, 5
Let g = 126451/2 + -63225. Factor -g*s**3 + 1/6*s + 0 - 1/3*s**2.
-s*(s + 1)*(3*s - 1)/6
Let i(k) = 3*k**3 + k**2 + 4. Let y(d) = -17*d**3 - 2067*d**2 - 2058*d - 526. Let t(h) = -3*i(h) - y(h). Factor t(b).
2*(b + 257)*(2*b + 1)**2
Determine i so that 17806*i - 1980*i**2 + 5846*i - 2050*i**3 - 106480 + 16309*i + 11343*i + 19*i**4 + 231*i**4 = 0.
-5, 22/5
Let g = -572610 + 4008330/7. Suppose 2/7*l**2 + g + 34/7*l = 0. Calculate l.
-15, -2
Let s = -187 - -951/5. Factor 2/5*n**2 + 14/5*n - s.
2*(n - 1)*(n + 8)/5
Let l be -6*(-6)/9 - -78. Let c = l + -63. Factor -12 + 5*o**3 - 4*o**4 - 24*o + 24 - 32*o**2 + c*o**3 + 24.
-4*(o - 3)**2*(o - 1)*(o + 1)
Factor 276*f - 126*f**2 + 19*f**3 + 48*f - 1133164 - f**4 + 1132948.
-(f - 6)**3*(f - 1)
Let q(r) be the second derivative of 1/2*r**4 - 2/7*r**7 - 4/5*r**6 - 18 + 1/2*r**3 + 3*r - 9/20*r**5 + 0*r**2. Suppose q(o) = 0. What is o?
-1, -1/2, 0, 1/2
Let u(r) = -89 + r**3 + 0*r**2 - 2*r**2 + 93 - 4*r. Let h(m) = -2*m**3 + 5*m**2 + 9*m - 9. Let f(s) = 4*h(s) + 9*u(s). 