actor g(f).
-4*(f - 24)*(f - 2)*(f + 2)**2
Let f = 23 - 14. Let o = 33 - 31. Find u, given that 30*u**o + 13*u + 38*u + 40 + f*u + 5*u**3 = 0.
-2
Let i(k) = 37*k - 9028. Let p be i(244). Factor 0*r**3 + p + r**2 - 1/3*r**4 + 2/3*r.
-r*(r - 2)*(r + 1)**2/3
Let y(b) be the third derivative of 2*b**7/105 + b**6/30 - b**5/15 - b**4/6 + 1097*b**2. Let y(i) = 0. Calculate i.
-1, 0, 1
Let k = -3/10187 + 10205/61122. Find x such that 5/6*x**2 + x - 1/3*x**3 - k*x**4 + 0 = 0.
-3, -1, 0, 2
Let d(m) be the second derivative of 3*m**5/40 + 5*m**4/2 + 91*m**3/4 + 4913*m. Let d(r) = 0. Calculate r.
-13, -7, 0
Factor -2*s + 48 - 21*s**2 - 9*s - s + 9*s**2 + 3*s**3.
3*(s - 4)*(s - 2)*(s + 2)
Let x(k) = 113*k - 547. Let a be x(5). Suppose 4*j = -a*j + 66. Solve -1/3*q**2 - 1/6*q + 1/6*q**j + 1/3 = 0.
-1, 1, 2
Let k(r) = -r**2 - 7*r + 1. Let c(z) = -21*z**2 + 1705*z - 3615. Let b(g) = -c(g) + 17*k(g). Factor b(f).
4*(f - 454)*(f - 2)
Let d(r) be the third derivative of -2*r**2 - 1/36*r**3 + 1/72*r**4 - 1/360*r**5 - 19*r + 0. Factor d(f).
-(f - 1)**2/6
Let q(a) = -26*a**3 - 745*a**2 - 1232*a - 480. Let z(t) = 5*t**3 + 149*t**2 + 246*t + 96. Let m(v) = -2*q(v) - 11*z(v). Factor m(u).
-(u + 1)*(u + 48)*(3*u + 2)
Let o(a) be the first derivative of -a**9/3024 + a**7/168 - a**5/30 + 62*a**3/3 - 37. Let n(k) be the third derivative of o(k). Determine v so that n(v) = 0.
-2, -1, 0, 1, 2
Let f be (-9)/(-66) + (-4130)/(-7788). Solve f*s - 1/3*s**3 - 1/3*s**2 + 0 = 0.
-2, 0, 1
Let k(g) = -g**2 - 154*g + 1763. Let q(z) = -4*z**2 - 296*z + 3527. Let d(t) = 7*k(t) - 3*q(t). Determine c, given that d(c) = 0.
16, 22
Let -5*u**4 + 252*u**3 - 514*u**3 + 259*u**3 - 2*u**2 + 4*u**4 = 0. Calculate u.
-2, -1, 0
Let f(k) be the second derivative of -k**4/4 + 47*k**3 + 2781*k**2/2 - 88*k - 8. Factor f(d).
-3*(d - 103)*(d + 9)
Determine q so that -6/5*q**3 + 1/5*q**4 + 9/5*q**2 + 4/5*q - 12/5 = 0.
-1, 2, 3
Suppose 0 = -5*t - 1061 + 3336. Factor -f**3 - 13*f**3 + t*f**2 + 344*f - 333*f**2 + 88.
-2*(f - 11)*(f + 2)*(7*f + 2)
Let m(n) be the first derivative of 9 + 1/30*n**6 + 0*n**2 - 1/12*n**4 - n - 1/6*n**3 + 1/20*n**5. Let t(a) be the first derivative of m(a). Factor t(r).
r*(r - 1)*(r + 1)**2
Let w(h) = 5*h**4 + 10*h**3 - h**2 - 6*h - 4. Let a = -5 + -6. Let i(x) = 14*x**4 + 29*x**3 - 3*x**2 - 18*x - 11. Let t(k) = a*w(k) + 4*i(k). Solve t(l) = 0.
-6, -1, 0, 1
Suppose 12*c - 715 = 113. Suppose 31*q**4 + 37*q**3 - c*q**3 + 2*q**5 - 3*q**4 + 58*q**3 = 0. What is q?
-13, -1, 0
Let t = -6702383/6 + 1117064. Factor -1 - 1/6*g**3 - 7/6*g**2 + t*g**4 + 13/6*g.
(g - 2)*(g - 1)**2*(g + 3)/6
Let c(m) be the second derivative of -3*m**8/1960 - m**7/1960 - 5*m**3/3 + 3*m**2/2 + 11*m. Let l(i) be the second derivative of c(i). Factor l(d).
-3*d**3*(6*d + 1)/7
Let d(t) be the second derivative of t**8/224 - t**7/70 - 87*t**2/2 + 26*t. Let c(h) be the first derivative of d(h). Factor c(f).
3*f**4*(f - 2)/2
Let r(f) = -125*f**3 + 506*f**2 - 3134*f - 3600. Let a(q) = -23*q**3 + 101*q**2 - 626*q - 720. Let y(d) = 11*a(d) - 2*r(d). Factor y(k).
-3*(k - 24)*(k - 10)*(k + 1)
Let n(x) be the first derivative of -1/156*x**4 + 0*x**3 - 14 - 1/780*x**6 + 8*x**2 + 0*x + 1/195*x**5. Let h(p) be the second derivative of n(p). Factor h(j).
-2*j*(j - 1)**2/13
Let y(j) be the third derivative of 1/960*j**6 - 1/120*j**5 + 0 - 1/24*j**3 + 137*j**2 + 0*j + 5/192*j**4. Factor y(n).
(n - 2)*(n - 1)**2/8
Suppose 3*f = -172 - 80. Let c = f - -758/9. Suppose -2/9*d**3 - c + 2/9*d + 2/9*d**2 = 0. Calculate d.
-1, 1
Let v be (-3224)/182 + 16 - (-33)/7. Determine w, given that 3/4*w**v - 3/4*w**5 + 3/4*w**4 + 0 + 0*w - 3/4*w**2 = 0.
-1, 0, 1
Let x(c) be the third derivative of c**6/24 - 241*c**5/12 + 71995*c**4/24 + 73205*c**3/6 + 2101*c**2 - 1. Factor x(u).
5*(u - 121)**2*(u + 1)
Let d(v) be the first derivative of 3*v**4/28 + 17*v**3/7 + 3*v**2 - 96*v/7 + 2802. Factor d(a).
3*(a - 1)*(a + 2)*(a + 16)/7
Find j, given that 12/7*j - 6/7*j**2 + 1/7*j**3 - 8/7 = 0.
2
Let l be 39 - (15 + (-330)/(-14)). Solve l*b - 36/7 + 36/7*b**2 - 3/7*b**3 = 0.
-1, 1, 12
Let v(t) be the third derivative of -4*t**7/35 - 43*t**6/40 - 19*t**5/5 - 11*t**4/2 - 217*t**2 + 3. Factor v(g).
-3*g*(g + 2)**2*(8*g + 11)
Solve -97594/5*h**3 + 147/5*h**4 + 88219/5*h**2 - 26524/5*h + 2652/5 = 0 for h.
2/7, 1/3, 663
Find i, given that 199*i**5 - 88*i**5 - 18*i**3 + 39*i**2 + 6*i**4 - 110*i**5 + 39*i**2 - 67*i**3 = 0.
-13, 0, 1, 6
Let k(y) be the first derivative of -8*y**5/5 + 37*y**4 - 448*y**3/3 + 214*y**2 - 120*y - 3187. Let k(w) = 0. What is w?
1/2, 1, 2, 15
Let n(u) = -24 - 8*u - 87*u**3 + 10*u + 24*u**2 + 18*u + 83*u**3. Let l(z) = z**3 - z**2 - 2. Let d(x) = 4*l(x) - n(x). Suppose d(f) = 0. Calculate f.
-1, 1/2, 4
Let c(o) = -145*o**4 + 2865*o**3 + 8865*o**2 + 8855*o + 3030. Let g(j) = 5*j**4 + 3*j**3 - j**2 - j - 3. Let m(q) = -c(q) - 30*g(q). What is u in m(u) = 0?
-588, -1
Let p be 10/6 - (-1160)/(-725). Let g(i) be the first derivative of -p*i**3 - 12 - 1/10*i**2 + 0*i. Factor g(c).
-c*(c + 1)/5
Let f = -522 + 525. Factor 6*r**5 + 2*r**2 + 18*r**2 - 11*r**3 - 5*r**2 - 10*r**3 - r**4 - 2*r + f*r**3.
r*(r - 1)**2*(r + 2)*(6*r - 1)
Let j(n) = 2*n**4 - 4*n**3 - 16*n**2 + 42*n + 50. Let b(h) = 10*h**4 - 18*h**3 - 81*h**2 + 209*h + 251. Let c(o) = 2*b(o) - 11*j(o). Let c(i) = 0. Calculate i.
-2, -1, 3, 4
Find x, given that -x**2 + 43 - x**2 + 144 + 52*x + 8*x + 11 = 0.
-3, 33
Let k(b) be the third derivative of b**7/42 - 29*b**6/12 + 55*b**5/3 - 45*b**4 - 2165*b**2. Suppose k(s) = 0. Calculate s.
0, 2, 54
Factor -2/11*r**2 - 3125000/11 - 5000/11*r.
-2*(r + 1250)**2/11
Let t(v) be the first derivative of -2/5*v**4 + 4/15*v**3 + 4/5*v**2 + 0*v - 46 - 4/25*v**5. Find p such that t(p) = 0.
-2, -1, 0, 1
Let t(p) be the third derivative of 0*p**3 + 1/3192*p**8 + 1/228*p**4 + p + 0*p**7 + 0 + 0*p**5 - 59*p**2 - 1/570*p**6. Let t(h) = 0. Calculate h.
-1, 0, 1
Suppose 1234/5*q**2 + 1238/5*q + 2/5*q**4 - 1236/5 - 1238/5*q**3 = 0. Calculate q.
-1, 1, 618
Let b(f) be the third derivative of -f**7/315 + f**6/30 - f**5/90 - 2*f**4/3 - 16*f**3/9 - 390*f**2 - 4*f. Find a, given that b(a) = 0.
-1, 4
Let t be 1131/(-26) + 30 + 21. Find m, given that 6*m + t - 3/2*m**2 = 0.
-1, 5
Let v(y) be the first derivative of 32*y**6/3 + 672*y**5/5 + 481*y**4 + 280*y**3 + 50*y**2 + 864. Factor v(k).
4*k*(k + 5)**2*(4*k + 1)**2
Let d = 1720216/614395 - -18/122879. Determine k, given that -1/5*k**2 - 24/5 - d*k = 0.
-12, -2
Suppose v - w - 3*w + 51 = 0, 5*v = 3*w - 272. Let b be 1/(7/v) + 8. Factor b*u**3 - 3/7*u**2 - 2/7 + 1/7*u**4 - 5/7*u.
(u - 2)*(u + 1)**3/7
Factor -6*l**4 - 5*l**2 + 13*l - 5*l + 15*l - 25*l**3 + 2*l + 11*l**4.
5*l*(l - 5)*(l - 1)*(l + 1)
Let m(z) be the third derivative of z**7/105 - 11*z**6/60 - 13*z**5/30 + 11*z**4/12 + 4*z**3 + 235*z**2. Let m(n) = 0. Calculate n.
-1, 1, 12
Factor -9819 + 2*h**2 - 142*h + 9991 - 16*h - 16*h.
2*(h - 86)*(h - 1)
Suppose -45*r - 3*a - 510 = -44*r, -5*r - 2590 = -5*a. Let d = r - -518. Suppose 1/3*c**d - 2/3*c + 1/3 = 0. Calculate c.
1
Let s(h) be the third derivative of h**5/12 + 4145*h**4/24 - 2075*h**3/3 - 2*h**2 - 2*h + 220. Solve s(u) = 0.
-830, 1
Let r = -812649 + 812649. Factor r - 85*u**2 + 0*u + 35/4*u**4 + 295*u**3.
5*u**2*(u + 34)*(7*u - 2)/4
Let s(v) be the third derivative of -v**7/105 + 4*v**6/15 - 59*v**5/30 - 4*v**4/3 + 20*v**3 - 17*v**2 + 9. Determine j, given that s(j) = 0.
-1, 1, 6, 10
Let c be -2*(-15)/18*3. Let h be (-3 - (-28)/10) + 11/c. Factor -4*k**h + 67*k**4 - 10*k**3 - 75*k**4 - 2*k**5 + 0*k**5.
-2*k**2*(k + 1)**2*(k + 2)
Let f(y) be the third derivative of y**5/15 + 1075*y**4/3 + 2311250*y**3/3 - y**2 + 49. Suppose f(m) = 0. What is m?
-1075
Suppose 0 = 48*a - 41*a - 4284. Let i be 0 - 2 - a/(-270). Determine j, given that 46/15*j**4 + 0 + 14/15*j**5 + i*j + 26/15*j**2 + 18/5*j**3 = 0.
-1, -2/7, 0
Let u(o) be the second derivative of -o**4/48 + 5*o**3/12 + 11*o**2/8 + 461*o + 1. What is x in u(x) = 0?
-1, 11
Let q(c) be the third derivative of -c**5/15 + 320*c**4/3 - 204800*c**3/3 - 419*c**2. Factor q(r).
-4*(r - 320)**2
Suppose 0 + 1/5*p**2 + 333/5*p = 0. What is p?
-333, 0
Let z = 71849/152 + -8974/19. Determine n so that -9/2*n - 12*n**2 - 13/4*n**4 - z*n**5 + 0 - 79/8*n**3 = 0.
-3, -2, -2/3, 0