 2*o**3 - o**3 - 165*o + 179*o - 5*o**2.
-o*(o - 2)*(o + 7)
Let l(j) = -20*j**3 - 872*j**2 + 32*j + 16. Let n(x) = 13*x**3 + 582*x**2 - 20*x - 10. Let v(w) = 5*l(w) + 8*n(w). Factor v(u).
4*u**2*(u + 74)
Factor 54*p + 3/4*p**3 + 45/4*p**2 + 81.
3*(p + 3)*(p + 6)**2/4
Let m(s) = -3*s**3 - 445*s**2 - 590*s - 262. Let q be m(-147). Suppose -1/3*d**4 + 0*d**3 + 34/3*d**2 + q*d + 21 = 0. Calculate d.
-3, -1, 7
Factor -276/7*z**3 + 6*z**4 - 522/7*z + 596/7*z**2 - 2/7*z**5 + 162/7.
-2*(z - 9)**2*(z - 1)**3/7
Let q(b) be the third derivative of 1/360*b**6 - 1/3*b**3 - 5/72*b**4 + 0 + 0*b + 27*b**2 + 1/90*b**5. Find l, given that q(l) = 0.
-3, -1, 2
Let v = 25/42 + 1/14. Let y be (-1 + 13/2)*(-4992)/(-13728). Suppose 0*s - 8/3 + v*s**y = 0. Calculate s.
-2, 2
Let y(r) be the first derivative of r**6/1620 + 2*r**5/135 + 4*r**4/27 + 58*r**3/3 - 41. Let h(x) be the third derivative of y(x). Factor h(l).
2*(l + 4)**2/9
Let r(x) = -x - 12. Let v be r(-8). Let s be v/(-8)*(-2 - -8). What is a in -10/3*a + 5*a**2 + 0 - 5/3*a**s = 0?
0, 1, 2
Suppose -4*v + 7 + 41 = 0. Suppose 7*k - 10*k + v = 0. Factor -4*i**2 + k*i**4 + 7*i**4 - 13*i**4 - 6*i**3.
-2*i**2*(i + 1)*(i + 2)
Let l(a) be the first derivative of -3*a**4/5 - 219*a**3/5 - 1107*a**2/10 + 318*a/5 - 11418. Let l(q) = 0. Calculate q.
-53, -2, 1/4
Let m = 119 + -114. Let k be ((-16)/(-4) - 1) + 7. Let -l**3 + k*l**2 + 0*l + 0*l - m*l - 4*l**3 = 0. What is l?
0, 1
What is v in 4/9*v**4 + 32/3 - 40/9*v**2 - 2/9*v**5 + 10/3*v**3 - 88/9*v = 0?
-3, -2, 1, 2, 4
Let w(s) be the first derivative of -7803*s**4/28 - 2397*s**3/7 + 300*s**2/7 - 12*s/7 + 176. Find t such that w(t) = 0.
-1, 2/51
Let s(c) be the third derivative of -2*c**7/105 + 4*c**6/3 + 4*c**5/5 - 248*c**4/3 + 1280*c**3/3 - 1260*c**2 - c. Factor s(j).
-4*(j - 40)*(j - 2)**2*(j + 4)
Let u(d) be the third derivative of -d**6/600 + 43*d**5/300 - 41*d**4/60 - 53*d**2 - 6*d. Find a such that u(a) = 0.
0, 2, 41
Let q(m) = -356*m - 2848. Let d be q(-8). Let y(i) be the third derivative of 0*i**5 - 1/210*i**7 + 0*i**3 + 1/24*i**6 + 0 - 6*i**2 + 0*i**4 + d*i. Factor y(x).
-x**3*(x - 5)
Let k(t) be the third derivative of 0*t**3 + 0*t**4 + 0 + 13/420*t**7 + 8*t + 1/672*t**8 + 3/10*t**5 + 1/5*t**6 - 10*t**2. Solve k(h) = 0.
-6, -1, 0
Let o be 13/((-429)/(-506)) + (-27 - -12). Factor 29/3*y + 0 - o*y**2.
-y*(y - 29)/3
Let r = 70 + -47. Let h = r + -20. Factor 15*z**2 - 25*z**2 + 7*z**2 + h*z**4.
3*z**2*(z - 1)*(z + 1)
Let h(a) = -25*a**2 - 101*a + 18. Let s(d) = -22*d**2 - 100*d + 18. Let u(g) = 5*h(g) - 4*s(g). Factor u(p).
-(p + 3)*(37*p - 6)
Let x be 2/(24/(-121)) + (-80)/(-960) + 144/14. Factor -x*m**2 - 152/7 - 22*m.
-2*(m + 1)*(m + 76)/7
Let r = 100 + -85. Suppose 0 = 4*s - 0*c + 3*c - 9, -r = -2*s - 5*c. Factor m**3 + 4*m**3 + s*m**3 + 175*m - 25*m**2 - 125 - 30*m**2.
5*(m - 5)**2*(m - 1)
Let c = -60 + 62. Suppose 0 = 3*n - 9, -3*a - c*n - n = -60. Factor 14 + 5*o + a - o**2 - 34 - o**3.
-(o - 1)**2*(o + 3)
Let x(q) be the first derivative of q**3/33 - 113*q**2/11 - 1757. Suppose x(d) = 0. Calculate d.
0, 226
Let t(n) be the first derivative of 3*n**4/20 - 13*n**3/5 - 21*n**2/5 - 864. Factor t(a).
3*a*(a - 14)*(a + 1)/5
Let f = -100916 - -403665/4. Factor 0 + f*m**2 - 7/4*m.
m*(m - 7)/4
Let s(z) be the first derivative of 32 + 1/45*z**3 - 1/90*z**4 - 41*z + 0*z**2. Let k(m) be the first derivative of s(m). Factor k(l).
-2*l*(l - 1)/15
Let w be ((-70)/(-56) + 3/(-4))*4. Let i + 10*i**w + 12 + 11*i**2 + 4*i**2 - 26*i**2 = 0. Calculate i.
-3, 4
Let h be -4 - -15*((-9)/15 + 1). Suppose 3*o**2 - 72*o**4 + 69*o**4 + 5*o**5 - 21*o**3 - h*o**5 + 18*o = 0. Calculate o.
-2, -1, 0, 1, 3
Suppose 21*o - 724 = 25*o. Let b = o - -917/5. Solve 2/5*c**2 + b*c + 18/5 = 0 for c.
-3
Let u(g) be the first derivative of -2*g**3/9 + 151*g**2/3 - 100*g + 3473. Suppose u(p) = 0. Calculate p.
1, 150
Factor -4*s**2 + 160*s + 9*s**2 + 0*s**2 + 80*s - 245.
5*(s - 1)*(s + 49)
Let f be 0*27/(-473 - -41). Let -50/3*h - 140/3*h**2 + 24*h**3 - 18*h**5 + f + 36*h**4 = 0. What is h?
-1, -1/3, 0, 5/3
Let o be (0 - (-8)/(-14))/((-3)/21). Suppose o*s + 3*v - 14 = 0, -3 = -2*v + 1. Factor 251 + d**2 - s*d - 251.
d*(d - 2)
Solve 84*b**2 - 44*b**3 - 36*b**4 + 249*b**5 - 213*b**5 - 40*b**5 = 0 for b.
-7, -3, 0, 1
Let k(t) = -4*t**2 + 2*t + 3425. Let j be k(-29). Factor -4/3*x + 20/3*x**2 - 16/3*x**j + 0.
-4*x*(x - 1)*(4*x - 1)/3
Let b(v) be the first derivative of -4*v**4/3 + 296*v**3/3 - 3451*v**2/2 - 56644*v/3 - 11159. Solve b(u) = 0.
-4, 119/4
Find g, given that 73 + 99*g**2 + 632*g + 98*g**4 - 24 + 2577*g**2 - 2 + 2184*g**3 - 5 = 0.
-21, -1, -1/7
Let v(l) be the first derivative of 2*l**3/39 + 1102*l**2/13 + 607202*l/13 - 901. Factor v(c).
2*(c + 551)**2/13
Suppose 26 = 4*s - 2*v, -5*s + v = -1563 + 1541. Suppose 0*u**s + 0*u - 1/4*u**4 - 1/4*u**5 + 0*u**2 + 0 = 0. Calculate u.
-1, 0
Let k be (-11)/(-66) + (-6811)/42. Let q be 3/(-3)*(k/57)/3. Factor q*d**2 + 2/19*d**4 - 12/19*d**3 - 8/19*d + 0.
2*d*(d - 4)*(d - 1)**2/19
Determine h so that -8*h - 2*h**5 + 8*h - 2449*h**3 + 2085*h**3 - 11*h**4 + 77*h**4 = 0.
0, 7, 26
Suppose -3/7*h**2 + 9/7*h - 3/7*h**4 - 9/7*h**3 + 6/7 = 0. Calculate h.
-2, -1, 1
Let v = 1556/7 + -306574/1379. Let z = 173/788 - v. Find i, given that -3/4*i + 0 - z*i**2 = 0.
-3, 0
Let q = -13271/126 + 1744/21. Let z = q - -45/2. Suppose -4/9*m**3 + 0*m**2 + 0 + z*m**5 + 0*m - 2/9*m**4 = 0. Calculate m.
-1, 0, 2
Let o(i) = -i**3 + 6*i**2 + 3*i - 3. Let s be o(6). Let x be (1/(-2)*0/s)/(-1). Determine l, given that 1/5*l**4 + 0*l + x + 2/5*l**2 + 3/5*l**3 = 0.
-2, -1, 0
Factor c - 626*c**2 - 73*c + 1258*c**2 - 635*c**2 - 69.
-3*(c + 1)*(c + 23)
Let t(j) = 443*j + 2714. Let n be t(-6). Solve -8*m + n + 2/7*m**2 = 0.
14
Let -700/3*z**2 - 28*z**4 + 64/3 - 592/3*z**3 + 1312/3*z = 0. What is z?
-4, -1/21, 1
Let u(b) be the second derivative of b**4/30 - 317*b**3/15 - 318*b**2/5 + b - 4354. Factor u(l).
2*(l - 318)*(l + 1)/5
Let u(t) = 7*t**2 + 15*t + 8. Let x be 425/102 + 15/18. Let v(q) = 12*q**2 + 30*q + 18. Let m(n) = x*u(n) - 3*v(n). Factor m(y).
-(y + 1)*(y + 14)
Let a(q) be the second derivative of q**5/70 + 2*q**4/3 + 87*q**3/7 + 810*q**2/7 + 83*q - 6. Factor a(j).
2*(j + 9)**2*(j + 10)/7
Let y be 8 + 2557*(-10)/3315. Let b = -2/39 + y. Find w, given that b*w + 10/17*w**2 - 28/17*w**4 + 0 - 22/17*w**3 = 0.
-1, -2/7, 0, 1/2
Let f(a) be the second derivative of a**6/1980 - 13*a**5/660 - 5*a**4/22 - 23*a**3/6 + a**2/2 + a + 8. Let s(b) be the second derivative of f(b). Factor s(d).
2*(d - 15)*(d + 2)/11
Let d(h) = 11*h**2 - 37*h + 10. Let z(x) = 7*x**2 - 24*x + 7. Let i be 6*(6 + 88/(-12)). Let k(l) = i*z(l) + 5*d(l). Suppose k(u) = 0. Calculate u.
1, 6
Suppose 12*u = 36*u - 96. Let t = 22/5 - u. Factor 3/5*c**3 + t*c**4 + 1/5*c**2 + 0 + 0*c.
c**2*(c + 1)*(2*c + 1)/5
Let q(y) be the second derivative of y**5/25 + 11*y**4/12 - 193*y**3/30 + 67*y**2/5 - 2282*y. Factor q(x).
(x - 2)*(x - 1)*(4*x + 67)/5
Let y(u) be the second derivative of u**4/42 - 184*u**3/21 + 8464*u**2/7 + 1529*u. Factor y(g).
2*(g - 92)**2/7
Factor -148247500*y**3 - 9244793250*y**2 - 9375*y**5 - 80848017692*y - 2165625*y**4 - 51856250*y**3 - 89023870152*y - 43682836231*y - 1973245650453.
-3*(5*y + 231)**5
Suppose -2*y**3 + 18758 - 3296 - 1680*y - 277*y**2 - 3*y**3 + 15898 + 37*y**2 = 0. Calculate y.
-28, 8
Let h(p) be the first derivative of -5*p**3/12 + 10845*p**2/4 - 23522805*p/4 + 7140. Suppose h(j) = 0. Calculate j.
2169
Let k(l) be the first derivative of -5/12*l**4 + 6*l - 5*l**2 - 12 + 5/2*l**3. Let m(a) be the first derivative of k(a). Factor m(g).
-5*(g - 2)*(g - 1)
Suppose 0*u - 2*u + 88 = 4*k, -u + 28 = -2*k. Suppose -u = -7*q + 5*q. Factor -5*x - q*x + 10 + 5*x**2 + 12*x**3 - 2*x**3 - 2*x.
5*(x - 1)*(x + 2)*(2*x - 1)
Let k = 6344 - 6342. Let f(t) be the second derivative of 0 + 1/4*t**3 + 0*t**4 + 0*t**k + 0*t**6 - 18*t - 3/20*t**5 + 1/28*t**7. Factor f(j).
3*j*(j - 1)**2*(j + 1)**2/2
Let t(f) be the second derivative of -f**4/60 - 11*f**3/5 - 108*f**2 - 10861*f. Factor t(b).
-(b + 30)*(b + 36)/5
Let p(k) = -5*k - 43. Let s be p(-11). Find g such that -22*g**3 + 0*g + 11*g**3 - g + s*g**3 = 0.
-1, 0, 1
Let -3870/7 - 442/7*r**2 - 2/7*r**3 - 2598/7*r = 0. What is r?
-215, -3
Let m(d) be the first 