**3 - 8*i**2 + 42*i - 258. Let n be p(5). Factor -2*w - 1/2*w**4 - 3/2*w**2 + n*w**3 + 2.
-(w - 2)**2*(w - 1)*(w + 1)/2
Let c(w) = 27*w**2 + 352*w - 1452. Let u(r) = 102*r**2 + 1410*r - 5817. Let b(a) = 15*c(a) - 4*u(a). Solve b(o) = 0 for o.
-124, 4
Let g(m) = -2*m - 10. Let a be g(-6). Suppose a*o - 2*y = -5*y + 12, -30 = -5*o - 2*y. Factor -4*b + o + 2*b**3 - 9*b + 3*b + 0 + 2*b**2.
2*(b - 1)**2*(b + 3)
Let q = 9875 + -9871. Let l(z) be the first derivative of 0*z**2 + 2/5*z**5 - 19 - 3/2*z**q + 0*z + 4/3*z**3. Factor l(m).
2*m**2*(m - 2)*(m - 1)
Suppose 16*d = -3*d + 38. Factor -553*x + 549*x - 4*x**2 + 3*x**3 - d*x**3 - 2*x**3.
-x*(x + 2)**2
Let d = -136120/162223 + 2/5233. Let o = 386/279 - d. Determine l so that -50/9 - o*l - 2/9*l**2 = 0.
-5
Let o(t) be the third derivative of t**5/60 - 193*t**4/12 + 1517*t**2 + t. Factor o(s).
s*(s - 386)
Let b be ((((-20)/9)/(-5))/2)/(518/42 + -12). Determine n, given that 38/3 + 40/3*n + b*n**2 = 0.
-19, -1
Suppose 149*b - 146*b = 3. Suppose -3*g + 21 = -15. Factor 37*p + 1 - g + 3*p**3 - b - 10*p - 18*p**2.
3*(p - 4)*(p - 1)**2
Let w = 14609/5067 + -247/563. Factor -2/9*g**2 + w + 20/9*g.
-2*(g - 11)*(g + 1)/9
Let i be ((2/(-3))/(-2))/(16/288). Suppose 3*d = i*d - 9. Find h such that 5*h**2 - h**3 + 5*h**3 + d*h**2 = 0.
-2, 0
Factor -18435*q**2 - 5*q**3 + 1084342*q - 14624011*q - 9116946*q - 9281659945.
-5*(q + 1229)**3
Let f(q) be the second derivative of q**5/25 + 221*q**4/3 + 4414*q**3/15 + 2206*q**2/5 + 6*q - 372. Factor f(p).
4*(p + 1)**2*(p + 1103)/5
Let l(x) = -2*x**3 + x**2 - x - 1. Let q(n) = 3*n**4 + 38*n**3 - 58*n**2 - 236*n - 137. Let h(d) = -2*l(d) + q(d). Factor h(s).
3*(s - 3)*(s + 1)**2*(s + 15)
Solve 188*c**2 - 702*c + 4*c**3 + 400 + 334*c - 224*c = 0.
-50, 1, 2
Let x(k) = -4*k**2 + 162*k - 116. Let h(v) = 16*v**2 - 655*v + 464. Let o(r) = 6*h(r) + 25*x(r). Factor o(y).
-4*(y - 29)*(y - 1)
Let g(l) = l**3 + 5*l**2 + l - 8. Let t be g(-4). What is r in -6*r**4 + 2*r**t + 16*r + 79 - 67 - 10*r**2 - 16*r**3 + 2*r**2 = 0?
-3, -1, 1
Suppose 98232*w - 98027*w - 820 = 0. Let -33/4*o - 9/8*o**w + 33/4*o**3 - 6 + 57/8*o**2 = 0. Calculate o.
-1, -2/3, 1, 8
Suppose 3 = 28*m - 109. Let z(n) be the first derivative of 12 + 5/3*n**3 + 0*n + n**m + n**2 + 1/5*n**5. Let z(f) = 0. What is f?
-2, -1, 0
Let g = -1595349/2 + 797735. Let 0 + 1/2*b**3 - 11*b**2 + g*b = 0. What is b?
0, 11
Let l(g) be the second derivative of -g**4/72 + 23*g**3/18 + 8*g**2 - 2*g + 737. Factor l(y).
-(y - 48)*(y + 2)/6
Let u(v) be the third derivative of v**8/3192 - 29*v**7/1995 + 13*v**6/190 + 2*v**5/285 - 26*v**4/57 - 5*v**2 - 170. Suppose u(t) = 0. What is t?
-1, 0, 2, 26
Let q(u) = -2*u**2 - 1251*u + 15300. Let o be q(12). Factor 5/4*b**2 - b**3 - 1/2*b + o + 1/4*b**4.
b*(b - 2)*(b - 1)**2/4
Suppose -23*i - 5 = -97. Find q such that 36*q**i + 3 + 13*q + 19*q - 28*q**3 - 4*q**5 - 36*q**2 - 3 = 0.
-1, 0, 1, 8
Let o(n) be the second derivative of n**6/30 + 3*n**5/2 + 103*n**4/12 - 5*n**3 - 52*n**2 - 4*n - 19. Solve o(i) = 0.
-26, -4, -1, 1
Let y = -3031 + 1384. Let s = -1091 - y. Factor -s*m + 556*m - 3*m**2.
-3*m**2
Factor 2/9*r**2 - 380/9*r - 1552/9.
2*(r - 194)*(r + 4)/9
What is k in -29*k**3 + 14*k**5 + 6*k**2 + 30*k**2 + 6*k**3 - 11*k**5 + 11*k**3 - 9*k**4 = 0?
-2, 0, 2, 3
Factor -200/13 - 2/13*u**2 - 50/13*u.
-2*(u + 5)*(u + 20)/13
Let m(d) be the third derivative of d**6/660 - 106*d**5/55 - 637*d**4/132 + 801*d**2. Factor m(o).
2*o*(o - 637)*(o + 1)/11
Find o, given that 6*o**3 + 2*o**3 + 24*o**3 + o**4 - 63*o + 2*o**4 - 165*o**2 + 702 - 5*o**3 = 0.
-13, -2, 3
Let c(f) be the third derivative of -2*f**7/63 + 206*f**6/45 - 53*f**5/15 - 206*f**4/9 + 328*f**3/9 - 8*f**2 - 115*f. Let c(v) = 0. What is v?
-1, 2/5, 1, 82
Let g be 99385/41283*(-60)/(-26). Determine t, given that g - 16/3*t - 2/9*t**2 = 0.
-25, 1
Factor -2/3*w**3 - 182/3*w - 68 - 44/3*w**2.
-2*(w + 2)*(w + 3)*(w + 17)/3
Let j(n) = -16*n**2 + 3730*n - 60. Let y(w) = 4*w**2 - 932*w + 16. Let z(q) = 4*j(q) + 15*y(q). Factor z(m).
-4*m*(m - 235)
Let m = 106506/7 + -15214. Let z(p) be the first derivative of -8/3*p**3 + 2/5*p**5 + m*p**2 + 0*p - 1/7*p**4 + 7. Determine j, given that z(j) = 0.
-2, 0, 2/7, 2
Factor 195*n**2 - 48*n**2 + 1159*n + 79707 - 8005*n.
3*(7*n - 163)**2
Let o(k) be the second derivative of -k**6/12 + 77*k**5/80 - 63*k**4/16 + 89*k**3/12 - 7*k**2 - k - 5. Find b such that o(b) = 0.
7/10, 1, 2, 4
Let f(y) be the second derivative of 2*y**7/147 + 967*y**6/105 + 4323*y**5/70 + 2876*y**4/21 + 1916*y**3/21 + 7126*y. Find x, given that f(x) = 0.
-479, -2, -1/2, 0
Suppose -10 = -2*n - 0. Let m be (100/(-15))/n - (-20)/6. Determine d so that -25*d - 2*d**3 + 9*d**3 - 23*d - 10*d**3 + 24*d**m = 0.
0, 4
Let i(f) = 5*f + 79. Let q be i(-11). Suppose q*v**4 + 66 + 22*v - 90 + 4*v**5 - 66*v + 40*v**3 = 0. Calculate v.
-3, -2, -1, 1
Let t = 302 + -290. Let z be (36/81)/(8/t). Factor -4/3*q - 2*q**3 + 0 + 2/3*q**5 - z*q**4 + 10/3*q**2.
2*q*(q - 1)**3*(q + 2)/3
Let c(v) be the second derivative of -v**6/30 - v**5/5 + 187*v**2/2 - v + 55. Let a(q) be the first derivative of c(q). Let a(d) = 0. What is d?
-3, 0
Let b = 2145888/149 - 14402. Let o = b + 408/1639. Find y such that -16/11*y**3 + 0 - 32/11*y**2 + 0*y - o*y**4 = 0.
-4, 0
Let 110*r**2 + 90*r**2 + 1216*r + 1053*r + 10*r**3 - 14*r**3 - 925*r = 0. What is r?
-6, 0, 56
Let r be (-2288)/571 + (-29 - -33). Let s = r + 587/2284. Factor -12*t - 13/4*t**2 - s*t**3 - 9.
-(t + 1)*(t + 6)**2/4
Let h(i) = 7*i**4 - 13*i**3 - 31*i**2 - 29*i. Let t(z) = -26*z**4 + 51*z**3 + 126*z**2 + 115*z. Let x(l) = 22*h(l) + 6*t(l). Find c such that x(c) = 0.
-2, -1, 0, 13
Let r(z) be the second derivative of 3*z**5/40 - 325*z**4/4 - 651*z**3/4 - 3488*z. Factor r(b).
3*b*(b - 651)*(b + 1)/2
Let x(o) be the first derivative of o**4/42 + o**3/3 + 12*o**2/7 - 5*o - 46. Let u(n) be the first derivative of x(n). Solve u(l) = 0 for l.
-4, -3
Let j(m) = m**2 + 71*m + 216. Let q be j(-68). Let p(z) be the third derivative of 1/20*z**5 + q*z**2 + 0*z + 0 + 1/8*z**4 + 0*z**3. Factor p(b).
3*b*(b + 1)
Let b = 24918 - 124588/5. Factor 26/5 - b*s**2 + 24/5*s.
-2*(s - 13)*(s + 1)/5
Suppose -216*v - 208*v = -416*v. Let c(d) be the first derivative of d**5 - 5/18*d**6 + v*d + 14 - 5/6*d**4 + 0*d**3 + 0*d**2. Factor c(r).
-5*r**3*(r - 2)*(r - 1)/3
Let d(j) be the first derivative of 121 + 7396/3*j + 172/3*j**2 + 4/9*j**3. Factor d(i).
4*(i + 43)**2/3
Let a(x) be the second derivative of x**4/42 + 46*x**3/21 - 10110*x. Factor a(s).
2*s*(s + 46)/7
Let o = -54 + 54. Let w be 6/(3 - 0) + o - 0. Factor j + 0*j**2 + 24 + 11*j + w*j**2 - 8.
2*(j + 2)*(j + 4)
Let r(u) be the third derivative of -13*u**6/30 - 8*u**5/3 - 41*u**4/6 - 28*u**3/3 - 1591*u**2 - u. Find c such that r(c) = 0.
-14/13, -1
Let l(r) be the second derivative of r**4/20 + 74*r**3 - 3963*r. Factor l(a).
3*a*(a + 740)/5
Let k(c) = c**2 - 246*c + 6. Let u be k(0). Find f such that u*f**4 + 7/2*f**5 - 53/2*f**3 - 4*f + 21*f**2 + 0 = 0.
-4, 0, 2/7, 1
Let m(z) = -z**2 + z + 25. Let g(i) = 54*i**2 - 1323*i - 231. Let y(w) = g(w) + 3*m(w). Solve y(a) = 0.
-2/17, 26
Let x be 749/642 + (-12)/(-9). Factor 7/4*r - x - 1/4*r**2.
-(r - 5)*(r - 2)/4
Let o(v) = -3*v**3 + v**2. Let n be (-4)/2 + (2 - 2). Let f(w) be the first derivative of -w**4 + w**3/3 - 110. Let k(x) = n*f(x) + 3*o(x). Factor k(j).
-j**2*(j - 1)
Factor -197*a**2 + 40 - 5*a + 93*a**2 + 103*a**2 - 16.
-(a - 3)*(a + 8)
Let a = 578128/3 - 192701. Factor -26/3 - a*f + 1/3*f**2.
(f - 26)*(f + 1)/3
Determine g so that 6*g**3 - 2*g**3 - 2*g**3 + 12*g + 15*g + 4*g**2 - 25*g = 0.
-1, 0
Let l(q) = 2*q**2 + 10*q - 12. Let x be l(1). Let h = -79/6 + 47/3. Factor -h*o + 15/2*o**2 + x.
5*o*(3*o - 1)/2
Let c = 1479741/5 + -295947. Factor 9/5 - 3/5*j**2 - c*j.
-3*(j - 1)*(j + 3)/5
Let s(z) be the second derivative of z**7/14 + 7*z**6/10 + 21*z**5/10 + 2*z**4 + 12*z - 18. What is n in s(n) = 0?
-4, -2, -1, 0
Factor 2*l**2 + 18*l - 9*l**2 + 21 - 10*l**2 - 12*l**2 + 5*l**2 + 3*l**4 - 18*l**3.
3*(l - 7)*(l - 1)*(l + 1)**2
Factor 62208*y - 215/6*y**4 - 1/6*y**5 + 0 - 2556*y**3 - 59616*y**2.
-y*(y - 1)*(y + 72)**3/6
Let q(s) = -2*s**4 + 19*s**3 - 6*s**2 - 22*s + 14. Let f(c) = -6*c**4 + 58*c**3 - 16*c**2 - 68*c + 42. Let u(r) = -3*f(r) + 10*q(r).