3961*i + 740*i**3 + 1645*i**4 - 8*i**2 + 23*i**2 - 3373961*i = 0.
-3/7, -1/47, 0
Let o(h) be the first derivative of 4*h**5/5 - 223*h**4 - 896*h**3/3 + 2751. Factor o(p).
4*p**2*(p - 224)*(p + 1)
Let g(o) be the second derivative of -25*o**7/14 + 22*o**6/3 + 25*o**5/4 - 115*o**4/2 + 110*o**3/3 + 100*o**2 - 25*o - 18. Let g(b) = 0. Calculate b.
-5/3, -2/5, 1, 2
Let o = 22069 + -22067. Let d(l) be the third derivative of -11/60*l**6 + 0 + 1/70*l**7 + 0*l + 3/2*l**3 - 7/4*l**4 + 13/15*l**5 - 2*l**o. Factor d(r).
(r - 3)**2*(r - 1)*(3*r - 1)
Let c(q) = -5571*q + 44571. Let u be c(8). Suppose 38/5*h - 4/3*h**4 - 12/5 + 2/15*h**5 + 76/15*h**u - 136/15*h**2 = 0. Calculate h.
1, 2, 3
Let r be 15*(-1 - 44/(-12)). Determine j, given that -95*j**5 + r*j**2 + 33*j**5 + 160*j**3 + 80 - 15*j**4 + 37*j**5 - 240*j = 0.
-2, 2/5, 1, 2
Let d(t) = t**3 - 50*t**2 - 103*t - 36. Let h be d(52). Suppose -4*p = -5*w + h, -p + 30 = 4*w + 34. Factor w*i + 0 + 0*i**2 + 2/3*i**3 - 2/3*i**4.
-2*i**3*(i - 1)/3
Factor 22927*m + 2726*m + 783*m + 64*m**3 + 5457*m**2 + 9900 + 12239*m**2.
4*(m + 275)*(4*m + 3)**2
Let j(r) be the third derivative of r**6/60 - 853*r**5/30 + 15194*r**4 - 60492*r**3 - 759*r**2. Factor j(w).
2*(w - 426)**2*(w - 1)
Let j(i) be the second derivative of -i**4/4 - 31*i**3 - 183*i**2/2 - i + 373. Factor j(z).
-3*(z + 1)*(z + 61)
Suppose -3*x + 4*m + 83 = 10, 0 = -m - 4. Determine g, given that -17*g**2 + 45 + 90*g + 31*g**2 - x*g**2 - 130 = 0.
1, 17
Let b = -15181/3 + 1821731/360. Let p(t) be the third derivative of 1/240*t**6 + 1/9*t**3 + 10*t**2 + b*t**5 + 0 + 0*t + 1/12*t**4. Factor p(n).
(n + 1)*(n + 2)*(3*n + 2)/6
Let q = -24 - -27. Let w(f) be the first derivative of -21*f**2 - 116*f - 14 - 9*f - 22*f + 0*f**3 - f**q. Determine a so that w(a) = 0.
-7
Let l(s) be the first derivative of 49*s**5/15 - 49*s**4/12 - 34*s**3/3 + 2*s**2/3 + 8*s/3 - 460. Determine q, given that l(q) = 0.
-1, -2/7, 2/7, 2
Let m(g) be the second derivative of g**8/10080 - g**7/1260 + 19*g**4/6 - 86*g. Let n(j) be the third derivative of m(j). Determine o, given that n(o) = 0.
0, 3
Let f = 3366 - 3363. Let s = -1 - -4. Suppose -10*t - 4*t + 11*t + f*t**3 + 3 - s*t**2 + 0*t = 0. What is t?
-1, 1
Let i(b) = -b**2 + 20*b + 44. Let n be i(22). Suppose n = w + 2*h + 2, w + h = 25 - 26. Factor -8/7*m + 12/7*m**2 + 8/7*m**3 + w.
4*m*(m + 2)*(2*m - 1)/7
Suppose -665*p = -668*p + 12. Factor 0*x**4 + 5*x**4 - x**4 + 8*x**3 + 10*x**2 + 48*x + 48*x**2 - 6*x**p.
-2*x*(x - 8)*(x + 1)*(x + 3)
Let r(w) be the third derivative of -w**6/200 + 38*w**5/25 - 722*w**4/5 + 24*w**2 + 4*w + 2. Suppose r(l) = 0. What is l?
0, 76
Let b(g) be the second derivative of -g**9/37800 + g**8/8400 + 13*g**4/4 + g**3/3 - 109*g. Let j(w) be the third derivative of b(w). Factor j(x).
-2*x**3*(x - 2)/5
Let w(u) = -15*u**4 + 1563*u**3 - 68090*u**2 - 69338*u - 15494. Let b(c) = c**4 + 2*c**3 - 4*c**2 - c + 1. Let d(q) = -6*b(q) - w(q). Solve d(o) = 0.
-2/3, -1/3, 88
Let u(b) = 2*b**2 - 81*b + 192. Let f be u(38). Let d(v) be the first derivative of 1/15*v**3 + 6/5*v**f + 36/5*v + 14. Factor d(g).
(g + 6)**2/5
Let n be (-75)/2*98/(-784). Let o(q) be the second derivative of -n*q**2 + 0 - 1/32*q**4 + 5/8*q**3 - 8*q. What is s in o(s) = 0?
5
Find p, given that -1/5*p**3 + 0*p + 0 - 1/5*p**2 = 0.
-1, 0
Let q(z) be the third derivative of 0 + 1/36*z**4 + 0*z**3 + 6*z**2 + 1/60*z**5 + 0*z. Factor q(n).
n*(3*n + 2)/3
Let d(n) = n**2 - n. Let s(a) = -8*a**2 - 96*a + 104. Suppose -g = -3*t + 11, -4*t + 17 + 0 = g. Let m(x) = g*s(x) + 4*d(x). Find w such that m(w) = 0.
-26, 1
Let m(h) be the first derivative of -316368*h - 15 - 42588*h**2 - 2548*h**3 - 343/6*h**4. Factor m(q).
-2*(7*q + 78)**3/3
Let l(j) = j**3 - 35*j**2 - 36*j - 10. Let n be l(36). Let g be (-30)/(-36) + 5/n. Factor 8/3*c + g*c**3 - 7/3*c**2 + 16/3.
(c - 4)**2*(c + 1)/3
Let s(j) be the third derivative of j**6/480 + 17*j**5/12 - j**4/96 - 85*j**3/6 - 778*j**2 - 1. Factor s(y).
(y - 1)*(y + 1)*(y + 340)/4
Let h be (0 - 18 - -9)/(9/(-3)). Let o(v) be the second derivative of 5/12*v**4 + 15*v**2 - 25/6*v**h + 0 - 42*v. What is l in o(l) = 0?
2, 3
Let u = -18 - 2. Let c be 0/2 - 80/u. Suppose -a + 13*a**4 - 2*a**4 + a**2 + a**3 - 11*a**c - a**4 = 0. Calculate a.
-1, 0, 1
Suppose -60*f - 73*f + 264*f - 92 = 85*f. Factor 0*m**f - 1/3 + 1/6*m**3 - 1/2*m.
(m - 2)*(m + 1)**2/6
Let k be (-114)/(-798) - (-326)/70. Factor -8 + k*a - 2/5*a**2.
-2*(a - 10)*(a - 2)/5
Let q(a) be the first derivative of -a**4/12 - 259*a**3 - 603729*a**2/2 - 156365811*a - 9088. Factor q(n).
-(n + 777)**3/3
Suppose -2*r + 2*b = -16, -3*r + 20 = -2*b - 0. Factor -6*p**r - 297*p**5 + 7*p**3 + 298*p**5 + 4*p**3 - 6*p**2.
p**2*(p - 3)*(p - 2)*(p - 1)
Let y(a) = 8*a - 22. Let q be y(2). Let p(u) = 58*u**2 + 16*u + 1. Let i(d) = -d**2. Let z(j) = q*i(j) + p(j). Factor z(h).
(8*h + 1)**2
Factor 1/2*c**3 - 26*c**2 - 107/2*c - 27.
(c - 54)*(c + 1)**2/2
Let j = -35 - -44. Let s(v) = -3*v**2 + 10*v + 4. Let z(k) = 6*k**2 - 21*k - 9. Let n = -1 - -5. Let l(w) = j*s(w) + n*z(w). Factor l(g).
-3*g*(g - 2)
Let v(q) be the first derivative of -1/4*q**4 - 217 - 5*q**2 + 0*q - 11/3*q**3. Factor v(h).
-h*(h + 1)*(h + 10)
Factor 0 - 3/8*o**5 - 939/4*o**2 + 3753/8*o**3 - 234*o**4 + 0*o.
-3*o**2*(o - 1)**2*(o + 626)/8
Suppose -13664*p - 270 = -13754*p. Factor -p*x + 0 - 3/5*x**2.
-3*x*(x + 5)/5
Let u = -5696/35 + 651/4. Let r(w) be the second derivative of -u*w**5 + 0 + 31*w + 1/42*w**4 + 0*w**2 - 1/42*w**3. Determine f, given that r(f) = 0.
0, 1
Let g(w) be the second derivative of -w**4/72 + 103*w**3/36 + 377*w**2/3 - 6711*w. Factor g(h).
-(h - 116)*(h + 13)/6
Let s be 50/25 - 0/(-2). Determine f so that 40*f**3 - 44*f**s - 15*f**2 - 256*f + 20*f**3 - 133*f**2 - 4*f**4 = 0.
-1, 0, 8
Let p = -209/1785 + 13331/7140. Factor 3/4 + p*g + 1/2*g**2.
(g + 3)*(2*g + 1)/4
Let m(p) = -p**2 + 17*p - 68. Let j be m(7). Determine s, given that -5 - 6*s**2 + 4*s**j + 16*s - 52*s**3 + 54*s**3 - 11*s**2 = 0.
1/2, 1, 5
Let r(f) = -8*f - 53. Let x be r(-7). Find w such that -3*w**4 + 65*w**3 + 12*w**2 - 39*w**x - 35*w**3 = 0.
-4, 0, 1
Let v(t) = -2*t**3 - 5*t**2 + 3*t - 32. Let a be v(-5). Let d be a/7 + -7 + -4. Suppose d*l - 1/7*l**3 + 2/7*l**2 - 2/7 = 0. Calculate l.
-1, 1, 2
Let g(p) be the third derivative of p**5/30 - 5*p**4/2 + 200*p**3/3 - 5*p**2 - 14*p. Solve g(n) = 0 for n.
10, 20
Let n be ((-98)/21)/(4/(-6)). Suppose -9 = 4*y - n*y. Determine u, given that 6*u**y - 5*u**4 + 3*u**4 + 2*u**3 + 28*u**2 + 16*u - 2*u**4 = 0.
-1, 0, 4
Let 0 - 206/3*q + 2/3*q**2 = 0. What is q?
0, 103
Let w(l) be the first derivative of -5*l**4/4 + 275*l**3/3 - 2420*l**2 + 26620*l - 4830. Factor w(o).
-5*(o - 22)**2*(o - 11)
Let b(z) = 4*z**2 + 4*z - 78. Let q be b(-7). Let t be q/(-15)*4*(-5)/90. Factor 4 - 16/3*x + t*x**2.
4*(x - 3)*(x - 1)/3
Let n = 1816 + -1810. Let s(f) be the first derivative of 0*f**4 + 1/15*f**n - 7 - 4/15*f**3 + 0*f + 4/25*f**5 - 1/5*f**2. Factor s(l).
2*l*(l - 1)*(l + 1)**3/5
Let r(v) be the first derivative of -2*v**3/3 - 25*v**2 + 232*v + 1124. Factor r(s).
-2*(s - 4)*(s + 29)
Let 609/4 - 5483/8*s + 9/8*s**2 = 0. Calculate s.
2/9, 609
Let k(m) be the second derivative of -m**5/120 + m**4/24 + 5*m**3/4 + 60*m**2 + 33*m + 2. Let q(x) be the first derivative of k(x). Factor q(a).
-(a - 5)*(a + 3)/2
Let h be (-11 - -3) + (-137)/(-9) + -7. Let d(k) be the first derivative of -2/3*k + h*k**3 + 3/2*k**2 - 21 - 3/4*k**4. Determine f so that d(f) = 0.
-1, 2/9, 1
Let d(p) be the third derivative of -7/36*p**4 - 16*p**2 + 1/180*p**6 - 1/15*p**5 + 0*p**3 + 0 + 0*p. Determine s so that d(s) = 0.
-1, 0, 7
Let n = 670 + -666. Suppose -3*u - 5*r = 14, n*u - r = u + 10. Factor 1/10*j**3 + 9/10*j**u + 3/2*j - 5/2.
(j - 1)*(j + 5)**2/10
Determine q so that 590*q**2 + 1205*q**3 - 360 - 51 - 1205*q - 189 - 24636*q**4 + 24646*q**4 = 0.
-120, -1, -1/2, 1
Let s(d) be the first derivative of 19 - 4/9*d**3 - d**2 - 1/18*d**4 + 0*d. Determine t, given that s(t) = 0.
-3, 0
Suppose -f = 3, -5*f + 1 = r - 4. Determine l so that 21 - 42467*l**3 - r*l + 42472*l**3 - 15*l**2 + 39 = 0.
-2, 2, 3
Suppose -42*t - 229*t - 53*t = -1027 + 379. Factor -64/5 - 4*n**t - 64/5*n - 2/5*n**3.
-2*(n + 2)*(n + 4)**2/5
Let h(c) be the second derivative of c**5