ative of 4*k + 0*k**3 + 0 - 7/8*k**4 - 18*k**2 - 1/20*k**5. Factor m(v).
-3*v*(v + 7)
Suppose 6018246*f + 6240 = 6018311*f. Let y(c) = c**2 + 2*c - 1. Let h be y(1). Factor 3/2*g**h - 24*g + f.
3*(g - 8)**2/2
Let w be 11*((-1243)/(-121) + -10). Let 2/7*m**5 - 8/7*m**2 + 2/7*m + 4/7 - 4/7*m**w + 4/7*m**4 = 0. What is m?
-2, -1, 1
Let i be ((-1)/11)/(-7*(-18)/(-1386)*2). Factor -1 - 2*y**2 - i*y**3 - 5/2*y.
-(y + 1)**2*(y + 2)/2
Let x(b) be the third derivative of b**5/360 + 13*b**4/144 + 5*b**3/6 + 2003*b**2. Factor x(s).
(s + 3)*(s + 10)/6
Let b = -164 - -186. Let l be (20/(-195))/(b/(-825)). Factor 20/13*j - 2/13*j**2 - l.
-2*(j - 5)**2/13
Factor -21/4*t**2 - 127/4*t - 1/4*t**4 + 27/4*t**3 - 39/2.
-(t - 26)*(t - 3)*(t + 1)**2/4
Let i(s) = -186*s + 1306. Let c be i(7). Let w(k) be the second derivative of -1/2*k**3 + 3/20*k**5 + 1/10*k**6 - 1/4*k**c + 0*k**2 + 0 + 7*k. Factor w(o).
3*o*(o - 1)*(o + 1)**2
Let c(y) be the second derivative of -2/63*y**7 + 4/9*y**3 + 48*y - 1/15*y**5 + 0*y**2 + 0 + 1/3*y**4 - 2/15*y**6. Suppose c(s) = 0. What is s?
-2, -1, 0, 1
Suppose 12*d**2 - 155*d**5 + 154*d**5 - 5*d**4 - 2*d**2 - 3*d**2 - 2*d**2 - 3*d**3 + 4*d = 0. What is d?
-4, -1, 0, 1
Let z(s) be the second derivative of -s**4/9 - 524*s**3/9 - 34322*s**2/3 + 4372*s. Factor z(f).
-4*(f + 131)**2/3
Let l be 1112/(-255) + 6 + (-26)/663. Factor -1/5*d**2 - l + 6/5*d.
-(d - 4)*(d - 2)/5
Let a(c) be the third derivative of -59*c**6/660 + 71*c**5/33 - 179*c**4/11 + 24*c**3/11 + 4190*c**2. Suppose a(w) = 0. What is w?
2/59, 6
Let j(h) be the third derivative of 1/60*h**5 + 208*h**2 + 0*h + 0 - 1/240*h**6 + 1/3*h**3 + 7/48*h**4. Let j(o) = 0. Calculate o.
-1, 4
Let y(s) = -1081*s + 16. Let c be y(0). Let l(k) be the first derivative of -22 - 7/3*k**3 - 4*k**2 - 1/4*k**4 + c*k. Factor l(u).
-(u - 1)*(u + 4)**2
Suppose -7*z + 5*z = 0. Suppose 12 = 6*l - z*l. Factor -175*v + 4 + 15*v**3 + l*v**2 + 189*v - 35*v**3.
-2*(v - 1)*(2*v + 1)*(5*v + 2)
Let i(y) be the first derivative of -8/3*y**3 - 48/5*y**2 - 1/10*y**4 + 1152/5*y + 100. Factor i(z).
-2*(z - 4)*(z + 12)**2/5
Let y = 54 - 140. Let p be y*5/(-40) + (-1)/(-4). Determine h so that h**2 - 85 - 9*h + 77 + p*h = 0.
-4, 2
Let o(m) = -4 + 3 + m**2 - 543*m**3 - m + 542*m**3. Let f(w) = w**4 - 4*w**3 + 22*w - 17. Let g(z) = -2*f(z) - 2*o(z). Factor g(y).
-2*(y - 3)**2*(y - 1)*(y + 2)
Determine v so that 70597*v**2 - 18*v**4 - 9 + 5 - 46*v - 74*v**3 - 70695*v**2 = 0.
-2, -1, -1/9
Suppose 0 = -46*y + 51 + 41. Factor -32*f + 19*f - 8*f**2 + 4*f**y + 25*f.
-4*f*(f - 3)
Factor 34360*a**2 + 41 - 4*a**3 + a**3 - 84*a - 34383*a**2 + 2*a**3 + 67.
-(a - 1)*(a + 6)*(a + 18)
Let s(f) = 4*f**2 - 124*f + 731. Let p(z) = 12*z**2 - 372*z + 2194. Let m(d) = -5*p(d) + 14*s(d). Factor m(h).
-4*(h - 23)*(h - 8)
Factor -12 + m**2 + 71/5*m.
(m + 15)*(5*m - 4)/5
Let u be (-48 + 55811/1176)*-234. Factor -99*r - 66*r**3 + u*r**2 + 12*r**4 + 27.
3*(r - 2)**2*(4*r - 3)**2/4
Factor 0 - 2/3*w**3 - 106*w**2 + 320/3*w.
-2*w*(w - 1)*(w + 160)/3
Let m(g) be the third derivative of g**5/180 + 19*g**4/36 + 217*g**3/18 + 840*g**2. Factor m(d).
(d + 7)*(d + 31)/3
Let v(a) be the third derivative of -6*a**2 + 1/16*a**4 + 20*a + 0 - 1/80*a**6 - 29/4*a**3 + 29/40*a**5. Find c, given that v(c) = 0.
-1, 1, 29
Factor 3*b**4 - 3/4*b**5 + 3*b + 6 - 15/2*b**2 - 3/4*b**3.
-3*(b - 2)**3*(b + 1)**2/4
Let d(m) be the second derivative of m**6/6 - 161*m**5/4 + 191*m + 4. Factor d(u).
5*u**3*(u - 161)
Suppose 6*h = 16*h - 450. Let m be (-30)/(-225) + 282/h. Suppose -14/5*d**3 + 12/5 - m*d**2 + 34/5*d = 0. What is d?
-3, -2/7, 1
Let b(h) = -4*h**2 + 59*h + 161. Let s(y) = y - 1. Let w(i) = b(i) + 9*s(i). Factor w(v).
-4*(v - 19)*(v + 2)
Let w(c) = 9*c**2 + 762 - 163*c + 3*c**2 - 720 + 59*c. Let a(x) = 25*x**2 - 208*x + 85. Let p(j) = 2*a(j) - 5*w(j). What is z in p(z) = 0?
2/5, 10
Let -3*a**2 - 832423 - 3347464 - 68413 + 7140*a = 0. Calculate a.
1190
Let v(j) be the second derivative of j**7/210 + j**6/20 + j**5/5 + j**4/3 - 42*j**2 - 92*j. Let l(g) be the first derivative of v(g). Factor l(i).
i*(i + 2)**3
Let h(t) = -5*t**3 - 3081*t**2 - 23*t + 3081. Let k(d) = d**2 - 7*d - 1. Let j(c) = -h(c) + 4*k(c). What is i in j(i) = 0?
-617, -1, 1
Let o = 1964 + -3919/2. Let b(x) be the second derivative of 1/2*x**3 + 0 - 25*x - 1/2*x**4 + o*x**2. Let b(r) = 0. Calculate r.
-1, 3/2
Let v be ((-8)/12)/((-2)/9). Suppose 3*w + 4 = -d, v*d + 2*d - 13 = -4*w. Factor 0 + 1/2*a**4 - a**3 + 1/2*a**d + 0*a + 0*a**2.
a**3*(a - 1)*(a + 2)/2
Let f(c) = -37*c**2 - 447*c - 1283. Let y(d) = -10*d**2 - 112*d - 321. Let x(h) = -12*f(h) + 44*y(h). What is l in x(l) = 0?
-106, -3
Suppose 12 = 2*r + 3*c, 0 = -16*r + 13*r + 5*c - 20. Let n(o) be the first derivative of 1/10*o**4 + 0*o**3 + r*o - 38 - 1/5*o**2. Factor n(y).
2*y*(y - 1)*(y + 1)/5
Suppose 0*s + 160/9*s**2 - 4/9*s**5 - 104/9*s**3 - 52/9*s**4 + 0 = 0. What is s?
-10, -4, 0, 1
Suppose 2*s = 8*s - 60. Suppose 8*j - 34*j**3 + s*j**3 + 16*j**2 + 34*j**3 + 2*j**4 = 0. What is j?
-2, -1, 0
Let t(g) = -4*g**2 - 7*g - 21. Let r be 10*(-5)/((-25)/2). Let h(f) = 5*f - 3*f + f**2 + 36 - 31. Let m(a) = r*t(a) + 18*h(a). Solve m(l) = 0.
-3, -1
Let t(b) be the third derivative of 11*b**5/420 - 206*b**4/21 - 50*b**3/7 + 5*b**2 + 69*b. Suppose t(j) = 0. Calculate j.
-2/11, 150
Let c(m) be the second derivative of m**4/8 - 33*m**3/4 - 81*m**2 - 2122*m. Factor c(u).
3*(u - 36)*(u + 3)/2
Let x = 15011668 + -57569747562/3835. Let f = -3/767 - x. Find y, given that 3/5*y + f*y**3 - 3/5*y**2 - 1/5 = 0.
1
Let h(p) = -6*p**3 + 69*p**2 - 285*p - 225. Let u(v) = v**3 - 10*v**2 + 41*v + 32. Let o(x) = -4*h(x) - 27*u(x). Factor o(c).
-3*(c - 3)*(c + 1)*(c + 4)
Let o(g) = g. Let c = -4 - -8. Let s(b) = b**3 + b**2 + 6*b + 3. Let h be 33*(-4)/(-48)*(-64)/4. Let z(a) = c*s(a) + h*o(a). Factor z(i).
4*(i - 1)**2*(i + 3)
Let b(z) be the second derivative of 3*z**5/40 - 111*z**4/8 - 113*z**3/2 - 6*z - 26. Factor b(k).
3*k*(k - 113)*(k + 2)/2
Let i(b) = -34*b**2 + 2021*b + 506000. Let r(k) = 4*k**2 - k + 2. Let d(j) = -2*i(j) - 18*r(j). Let d(a) = 0. Calculate a.
-503
Let f(n) be the third derivative of n**8/84 - 46*n**7/35 + 288*n**6/5 - 5832*n**5/5 + 5832*n**4 + 209952*n**3 + 1071*n**2. Factor f(t).
4*(t - 18)**4*(t + 3)
Let x = -59 + 61. Factor -120*y**3 - 24*y + 99*y**2 + 29*y**4 + 24*y**2 - y**4 - 7*y**x.
4*y*(y - 3)*(y - 1)*(7*y - 2)
Let k(z) = z**3 - 2*z**2 + 2*z + 2. Let l be k(0). Suppose -550*s**3 - 214*s**5 + 139*s**5 + 260*s**l - 15*s + 338*s**4 + 42*s**4 = 0. Calculate s.
0, 1/15, 1, 3
Let x(d) be the second derivative of d**5/5 + 220*d**4/3 - 3616*d**3/3 + 7296*d**2 + 8132*d. Determine g, given that x(g) = 0.
-228, 4
Let k(o) = 7*o**3 - 50*o**2 + 374*o - 1134. Let d(a) = -3*a**3 + 25*a**2 - 191*a + 567. Let u(c) = -5*d(c) - 2*k(c). Factor u(z).
(z - 9)**2*(z - 7)
Let b(a) be the first derivative of a**4/24 + 7*a**3/3 + 38*a**2/3 - 604. Factor b(s).
s*(s + 4)*(s + 38)/6
Let q(n) be the third derivative of n**8/4200 - n**7/420 + 7*n**6/900 - n**5/100 + 36*n**3 - 11*n**2 + 3. Let d(o) be the first derivative of q(o). Factor d(r).
2*r*(r - 3)*(r - 1)**2/5
Let k(b) = -88*b**3 + 32*b**2 + 72*b - 20. Let a(s) = -3*s**3 + 2*s**2 - s + 1. Let z(x) = -4*a(x) + k(x). Factor z(r).
-4*(r - 1)*(r + 1)*(19*r - 6)
Let q be 10/18*(-8208)/(-1140). Solve -50*s**3 + 6/7*s**q + 0 - 1682/7*s + 5162/7*s**2 = 0 for s.
0, 1/3, 29
Let f(g) be the second derivative of -88*g + 1/102*g**4 + 6/17*g**2 + 0 - 5/51*g**3. Factor f(d).
2*(d - 3)*(d - 2)/17
Let s = 1096 - 1086. Let j(i) be the first derivative of 0*i**4 + 2/15*i**5 + 0*i**3 + 0*i**2 + 0*i - s. Factor j(z).
2*z**4/3
Let g be (-2)/(-7)*203/87. Let q(d) be the second derivative of -3/2*d**4 - 14*d - g*d**3 - 2/5*d**5 + 0 + 0*d**2. Factor q(c).
-2*c*(c + 2)*(4*c + 1)
Let j(a) be the third derivative of -a**6/480 - a**5/12 - 79*a**4/96 - 5*a**3/2 - 3*a**2 + 75*a. Factor j(d).
-(d + 1)*(d + 4)*(d + 15)/4
Suppose 40 = -43*z + 40. Let p(u) be the second derivative of z*u**2 + 1/18*u**4 - 8*u + 1/9*u**3 + 0. Factor p(k).
2*k*(k + 1)/3
Let r(v) = 11593*v + 382573. Let w be r(-33). Let -3/2*z**5 - 78*z**2 + 39*z**w - 3/2*z + 39 + 3*z**3 = 0. Calculate z.
-1, 1, 26
Let m(q) = q**2 + 8*q + 14. Let g(c) = -3*c + 27. Let v be g(11). L