 743*h**3/16 + 117*h**2/8 + 1477*h. Determine u so that p(u) = 0.
-39, -2/19
Let s(u) = -139*u**2 - 4762*u - 1. Let p(k) = -k**3 + k**2 + k + 1. Let b(x) = p(x) + s(x). Factor b(r).
-r*(r + 69)**2
Let k be 4/3*(-444)/(-148). Let m(z) be the first derivative of -1/40*z**5 - 1/16*z**k + 0*z**3 - 4 + 1/8*z + 1/8*z**2. Factor m(l).
-(l - 1)*(l + 1)**3/8
Let t(b) be the second derivative of 6/5*b**5 - 1/2*b**4 + 1/2*b**6 - 4*b**3 + 6*b - 9/2*b**2 - 18. Factor t(j).
3*(j - 1)*(j + 1)**2*(5*j + 3)
Solve 875/4 - 325/4*p + 1/4*p**3 + 25/4*p**2 = 0 for p.
-35, 5
Let s(f) be the second derivative of f**4/12 + 271*f**3/3 + 73441*f**2/2 - 27*f. Factor s(h).
(h + 271)**2
Suppose -4*k + 13*k = 5*k. Suppose -148*c + 149*c - 5 = k. Find w such that -205 + 5*w**5 + c*w**3 + 100 + 105 - 10*w**4 = 0.
0, 1
Let h(u) be the third derivative of -u**6/540 - 43*u**5/270 - 583*u**4/108 - 847*u**3/9 - 4870*u**2. Determine w so that h(w) = 0.
-21, -11
Suppose 0 = 31*j + 4*j - 601 + 496. Let u be 2/5 + (-13)/(-5). Factor -2*c**5 - 4*c**2 - 3*c**4 + 2394*c**u - 2404*c**j - 5*c**4.
-2*c**2*(c + 1)**2*(c + 2)
Let k = -2237/126 + 1276/63. Factor 0 + k*z**2 + 11/4*z - 1/4*z**3.
-z*(z - 11)*(z + 1)/4
Let k = -11859 + 11864. Let z(m) be the first derivative of 12 + 0*m**3 + 5/2*m**4 + m**5 - 5*m**2 - k*m. Factor z(n).
5*(n - 1)*(n + 1)**3
Let h(y) = 13*y**2 - 8349*y - 8402. Let p(s) = -37*s**2 + 25051*s + 25198. Let z(f) = 11*h(f) + 4*p(f). Factor z(l).
-5*(l - 1674)*(l + 1)
Let c = -55976 + 55978. Factor 0*z - 1/3*z**3 + 4/3 - z**c.
-(z - 1)*(z + 2)**2/3
Let u = 4604537/4092936 - -2/511617. Factor 0 + u*y - 3/8*y**2.
-3*y*(y - 3)/8
Let j(d) = 2*d**3 + 7*d**2 + d - 3. Suppose -2*p - o - 3*o - 6 = 0, -o = 5*p + 15. Let g be j(p). Factor 2/3*s**g + 0*s + 8/3 - 2*s**2.
2*(s - 2)**2*(s + 1)/3
Let s(z) = -3*z - 149 - 5*z + 2*z + 32. Let l be s(-20). Factor 9/2*m**2 + 0 + 9/2*m**l + 3/2*m**4 + 3/2*m.
3*m*(m + 1)**3/2
Let i(n) = 6*n**2 + 220 - 101*n + 48*n - 162*n - 11*n. Let x(b) = -4*b**2 + 150*b - 146. Let g(a) = 5*i(a) + 8*x(a). Solve g(w) = 0.
1, 34
Let c(z) be the second derivative of -2 - 13/150*z**6 - 7/15*z**3 + 1/20*z**5 - 4/5*z**2 - 9*z - 1/70*z**7 + 11/20*z**4. What is a in c(a) = 0?
-4, -2, -1/3, 1
Let -604/5 - 6*j**2 + 4534/5*j = 0. What is j?
2/15, 151
Let d(y) be the third derivative of -166*y**2 + 0*y**3 + 0*y + 0 - 1/4*y**4 - 1/60*y**6 + 2/15*y**5. What is o in d(o) = 0?
0, 1, 3
Let p(v) = -3*v**3 + 63*v**2 + 69*v - 36. Let q(h) = h**3 - 12. Let g(x) = -p(x) + 3*q(x). Factor g(b).
3*b*(b + 1)*(2*b - 23)
Factor 235999*f**3 + 57*f**2 + 2*f**4 - 236017*f**3 - 17*f**2.
2*f**2*(f - 5)*(f - 4)
Let h = 274471/13 + -21113. Solve 8/13*s**2 + 10/13*s + 4/13 + h*s**3 = 0 for s.
-2, -1
Solve -201*z + 174*z**3 - 65*z**2 + 51*z + 778 - 5*z**5 - 19*z**3 - 778 + 65*z**4 = 0.
-2, -1, 0, 1, 15
Factor -44/3 + 14/5*c - 2/15*c**2.
-2*(c - 11)*(c - 10)/15
Let d be (-13)/(-7) - 2/(-14). Let l be (-2 + 4)*42/24*d. Determine q so that 6 - 3412*q**3 - 14*q**4 + 3448*q**3 - 8*q**5 - 28*q + q**2 + l*q**2 = 0.
-3, -1, 1/4, 1
Solve 688/7 - 2*m**2 - 2404/7*m = 0.
-172, 2/7
Let x(q) be the second derivative of q**4/16 - 49*q**3/8 - 75*q**2/4 + 1876*q. Suppose x(c) = 0. Calculate c.
-1, 50
Let n(a) be the second derivative of 3*a**5/20 + 21*a**4/2 + 225*a**3/2 - 7500*a**2 + 1504*a. Let n(w) = 0. What is w?
-25, 8
Let y(o) = -26*o**3 - 42*o**2 - 15*o - 17. Let a(n) = -12*n**3 - 20*n**2 - 8*n - 8. Let k(s) = 9*a(s) - 4*y(s). Suppose k(w) = 0. Calculate w.
-1
Let b be 3/(-21) - (-1096)/28. Let h = 42 - b. Factor -64*q**4 - h*q**2 + 3*q**3 - 61*q**4 + 131*q**4.
3*q**2*(q + 1)*(2*q - 1)
Let a(d) = -18*d + 45. Let t be a(2). Suppose 3*b + t = -15*c + 18*c, -5 = 5*b. Factor -1/4 + 3/4*g**c - 1/2*g.
(g - 1)*(3*g + 1)/4
Suppose 5*j + 0*s = -3*s + 30, 3*j + s = 14. Let u(v) be the first derivative of 13 + 2/9*v**2 + 2/27*v**j + 2/9*v. Factor u(p).
2*(p + 1)**2/9
Let x = 1093986 + -5469924/5. Factor 2/5*y**3 - 26/5*y - 6 + x*y**2.
2*(y - 3)*(y + 1)*(y + 5)/5
Let h(d) be the second derivative of -d**5 + 53*d**4/3 + 164*d**3/3 + 48*d**2 - 4295*d. Factor h(c).
-4*(c - 12)*(c + 1)*(5*c + 2)
Let x be (396 + -393)*(-132)/45 - -5*2. Factor -21/5*n**2 + x*n**3 + 0 + 12/5*n + 3/5*n**4.
3*n*(n - 1)**2*(n + 4)/5
Let v(t) = 31*t**2 - 1107*t + 2795. Let y(h) = -13*h**2 + 473*h - 1198. Let g(j) = 8*v(j) + 19*y(j). Factor g(n).
(n - 3)*(n + 134)
Let a(o) = o**3 + 6*o**2 + 2*o - 12. Let y be a(-5). Let c(z) be the first derivative of z**2 + 3/5*z - 6 + 3/10*z**4 + 4/5*z**y + 1/25*z**5. Solve c(n) = 0.
-3, -1
Let i(k) = 23*k**3 + 22*k**2 - 16*k - 16. Let s(j) = 15*j**3 + 15*j**2 - 10*j - 10. Let x(l) = 5*i(l) - 8*s(l). What is t in x(t) = 0?
-2, 0
Let v = -67 + 71. Suppose u - v = -u. Determine s so that 0*s**3 + 0*s**5 - 4*s**3 + s**5 + u*s**3 + s = 0.
-1, 0, 1
Factor 40*g**2 + 22*g + 10367 - 5*g**3 - 10367 + 65*g**2 + 208*g.
-5*g*(g - 23)*(g + 2)
Let z = 63515 - 190537/3. Solve 1/3*d**2 - 3 - z*d = 0 for d.
-1, 9
Let x be (-3)/60 - 133/(-1260). Let y(g) be the second derivative of 2/27*g**3 + 1/135*g**6 - x*g**4 + 0*g**2 + 0 + 12*g + 0*g**5. Let y(i) = 0. What is i?
-2, 0, 1
Let d be (-106)/(-60) - (5642/372 + (-6)/12*30). Let -d*k**2 - 482/5*k - 24 = 0. Calculate k.
-60, -1/4
Let b(v) = 14*v**3 - 73*v**2 - 35*v + 96. Let d(j) = -4*j**3 + 24*j**2 + 12*j - 32. Let q(y) = -4*b(y) - 11*d(y). Let q(w) = 0. Calculate w.
-1, 4/3, 2
Let m(s) = s**2 - s + 9. Let t(d) = d. Let h(o) = o**3 + 17*o**2 - 17*o + 13. Let z be h(-18). Let a(r) = z*t(r) + m(r). Factor a(g).
(g - 3)**2
Let t(q) be the third derivative of q**6/480 - 7*q**5/120 + 49*q**4/96 - q**2 + 4. Factor t(r).
r*(r - 7)**2/4
Suppose -368/7*g + 2/7*g**2 + 2/7*g**3 - 104 = 0. Calculate g.
-13, -2, 14
Let w(d) be the first derivative of -d**5/30 - d**4/3 - 99*d**2/2 + 46. Let h(i) be the second derivative of w(i). Factor h(m).
-2*m*(m + 4)
What is y in -3/5*y**2 + 246/5*y - 5043/5 = 0?
41
Let c(j) be the first derivative of j**7/210 + j**6/18 - j**5/30 - 5*j**4/6 - 2*j**3/3 - 17*j - 16. Let g(o) be the third derivative of c(o). Factor g(f).
4*(f - 1)*(f + 1)*(f + 5)
Let r = 1697005/1212 + 605/404. Factor r + 5/3*p**2 - 290/3*p.
5*(p - 29)**2/3
Let h = 69 + -67. Solve 16*o**h + 3*o**2 + 7*o - 3*o**3 + 2*o**2 - 25*o = 0 for o.
0, 1, 6
Let a = -154521 + 309043/2. Let a*i**2 + 5*i - 11/2 = 0. What is i?
-11, 1
Let x(c) be the first derivative of -43/4*c**2 + 60 + 1/10*c**5 + 7*c - 17/8*c**4 + 15/2*c**3. What is o in x(o) = 0?
1, 14
Let v(t) = 9*t**2 + 1267*t - 2856. Let k be v(-143). Let 0 + 8/5*p**k - 32/5*p**2 + 22/5*p**3 - 6/5*p**5 + 8/5*p = 0. Calculate p.
-2, 0, 1/3, 1, 2
Let g(t) = t**5 - t**4 - t**3 + t**2. Let c = 99 + -105. Let o(r) = 9*r**5 - 39*r**3 - 18*r**2 + 12*r. Let l(h) = c*g(h) - o(h). Let l(w) = 0. What is w?
-1, 0, 2/5, 2
Let f(m) be the second derivative of -1/21*m**7 - 16/3*m**3 - 19/10*m**5 - 31*m - 25/6*m**4 - 4*m**2 - 7/15*m**6 + 0. Factor f(u).
-2*(u + 1)**3*(u + 2)**2
Let r be (-5502)/10*60/(-90). Let d = -365 + r. Determine h, given that -1/5*h**4 - h**3 - d*h**2 - 2/5 - 7/5*h = 0.
-2, -1
Suppose 1428*b - 520 = 1363*b. Let g(j) be the first derivative of 5/13*j**2 + 1/26*j**4 - 4/13*j + b - 8/39*j**3. Factor g(h).
2*(h - 2)*(h - 1)**2/13
Let a(v) be the third derivative of 17*v**6/240 + v**5/3 + v**4/4 + v**2 - 103*v - 8. Find k, given that a(k) = 0.
-2, -6/17, 0
Suppose 7*j - 3*j = 4*j - 6*j. Let z(f) be the third derivative of 0*f**3 + 1/4*f**4 + 0 - 1/20*f**5 + j*f + f**2 - 1/40*f**6. Factor z(g).
-3*g*(g - 1)*(g + 2)
Let o be (-249)/3652 - 591/(-924). Factor -6/7*s**3 - o*s**4 + 2/7*s**5 + 8/7*s + 8/7*s**2 + 0.
2*s*(s - 2)**2*(s + 1)**2/7
Let t(d) be the second derivative of d**6/6 - 21*d**5/4 + 115*d**4/2 - 560*d**3/3 - 960*d**2 + 1749*d. Determine g, given that t(g) = 0.
-1, 6, 8
Let m be (-14 - 94)*(-4)/6. Let s = m + -72. Determine r so that 5/2*r**2 + 65*r**5 + s*r + 155/4*r**4 + 0 - 95/4*r**3 = 0.
-1, 0, 2/13, 1/4
Suppose -56*z + 213 = -11. Let l be (2*z/(-50))/(111/(-185)). Factor 0*g - l*g**4 - 2/15*g**5 - 2/15*g**3 + 0*g**2 + 0.
-2*g**3*(g + 1)**2/15
Determine q so that -1304/3 + 16/3*q**3 - 2172*q - 1732*q**2 = 0.
-1, -1/4, 326
Suppose 0 = 118*r + 18*r - 55*r - 567. Let o(p) be the second derivative of 0 + 5/12*p**4 - r*p + 0*p**3 + 5/