65*a**6 + 0*a**2 - 1/11*a**4. Determine d so that o(d) = 0.
-4, -1, 0, 2
Factor 0*o - 2/9*o**3 + 0 - 160/9*o**2.
-2*o**2*(o + 80)/9
Factor -1199904*i - 4/5*i**4 - 729124/5*i**2 + 3448/5*i**3 - 2422080.
-4*(i - 435)**2*(i + 4)**2/5
Suppose 11*x + 10 = 43. Solve 2*i**5 + i**5 + x*i**5 + 16*i**3 - 18*i**4 - 4*i**5 = 0.
0, 1, 8
Let x(g) be the second derivative of g**5/60 + 61*g**4/18 + 121*g**3/18 + 703*g. Let x(p) = 0. What is p?
-121, -1, 0
Let i = -67 - -70. Suppose -y + 125 = 4*g, -8*y + i*y + 583 = -g. Factor 8*r - 107*r**2 - 193*r**3 + 39*r**2 + y*r**3.
-4*r*(r + 1)*(19*r - 2)
Let q(x) be the second derivative of -10 - 1/30*x**4 + 9*x - 52/5*x**3 - 6084/5*x**2. Suppose q(i) = 0. Calculate i.
-78
Factor 280 - 59*o + 40*o - 56*o + 8*o**2 - 3*o**2.
5*(o - 8)*(o - 7)
Let i = 138235/207366 - -3/69122. Determine q, given that 4*q + 10/3*q**4 - 10/3*q**3 - 10/3*q**2 - i*q**5 + 0 = 0.
-1, 0, 1, 2, 3
Find r such that -28*r**4 + 210*r**3 + 23 + 435*r - 19824*r**2 + 3*r**5 - 173 - 14*r**4 + 19368*r**2 = 0.
1, 2, 5
Let p(j) = 2*j**3 + 59*j**2 - 192*j + 18. Let a(w) = 31*w**2 - 96*w + 10. Let c(q) = -9*a(q) + 5*p(q). Let c(h) = 0. What is h?
-4, 0, 12/5
Let i(s) = -83*s**2 + 395*s - 252. Let b be i(4). Factor 3/4*q**3 + 3/4*q**2 + b - 3/4*q**4 - 3/4*q.
-3*q*(q - 1)**2*(q + 1)/4
Let b = -11 - -20. Let u be ((-1)/(b/6))/2*-9. Solve -u*s**3 + 3*s - 3 - 6*s**2 + 6*s**2 + 3*s**2 = 0.
-1, 1
Let s(c) be the first derivative of 1/34*c**4 - 204 + 8/17*c**3 + 28/17*c - 27/17*c**2. Find x, given that s(x) = 0.
-14, 1
Suppose -6 = 4*f + 5*j - 11, -f = 3*j + 4. Solve -f*x**2 + 55 + 331*x + 343*x - 624*x = 0 for x.
-1, 11
Let q = 1336072 - 14696774/11. Solve 24/11*c**4 - q*c + 6/11 - 30/11*c**2 + 18/11*c**3 = 0.
-1, 1/4, 1
Let w be ((-4)/11)/(((-608)/176)/19). Let c be (w/4 - 0)*24/32. Determine y so that -9/4 - c*y + 3/8*y**2 = 0.
-2, 3
Let d = -46 + 48. Suppose -7*x = -d*x - 20. Factor n**3 - 5*n + x*n**3 - 5*n**2 + 114*n**4 + 0*n**3 - 109*n**4.
5*n*(n - 1)*(n + 1)**2
Let q(d) = -44521*d + 578780. Let b be q(13). Find m, given that b*m**2 + 5/3*m**3 + 8/3 + 23/3*m - 1/3*m**4 = 0.
-1, 8
Let v(l) be the third derivative of -2/3*l**4 - 1/6*l**6 + 0 + 0*l**3 + 16/15*l**5 - 2/15*l**7 + 0*l - 41*l**2. Factor v(m).
-4*m*(m - 1)*(m + 2)*(7*m - 2)
Let h(k) be the first derivative of -3/2*k**4 + 3*k**2 - 5*k + 58 + 1/5*k**5 + 4/3*k**3. Let h(u) = 0. Calculate u.
-1, 1, 5
Suppose 18/7*z + 3/7*z**2 + 24/7 = 0. Calculate z.
-4, -2
Let s(z) be the first derivative of 13*z**4/4 - 188*z**3/3 - 166*z**2 + 192*z + 416. Factor s(t).
(t - 16)*(t + 2)*(13*t - 6)
Let k = 191 - 192. Let d(h) = 2*h**4 - h**3 - h. Let v(y) = -17*y**4 + 6*y**3 + 6*y. Let j(b) = k*v(b) - 6*d(b). Factor j(o).
5*o**4
Factor -1/2*h**5 + 37*h**2 + 3*h**3 + 33/2 + 91/2*h - 11/2*h**4.
-(h - 3)*(h + 1)**3*(h + 11)/2
Let i(l) be the first derivative of l**6/2 - 54*l**5/5 + 1107*l**4/16 - 713*l**3/4 + 1413*l**2/8 - 297*l/4 + 500. Suppose i(w) = 0. Calculate w.
1/2, 3, 11
Suppose 13*h = -62805 + 62896. Let l(w) be the third derivative of -2/21*w**4 - 1/735*w**h - 1/105*w**5 + 1/84*w**6 + 0 + 0*w**3 + 0*w + 26*w**2. Factor l(i).
-2*i*(i - 4)*(i - 2)*(i + 1)/7
Let h(p) be the third derivative of p**6/30 - 81*p**5/5 + 2440*p**4 + 29768*p**3/3 + 10*p**2 - 4*p. Let h(l) = 0. Calculate l.
-1, 122
Let u(g) = 23*g - 2 + 0 - 15*g - 2. Let f be u(2). Factor -40*h**2 - 81*h**4 + 16*h**5 + 60*h**3 + f*h**2 - 8*h + 12*h + 29*h**4.
4*h*(h - 1)**3*(4*h - 1)
Let t(y) be the first derivative of -15*y**2 - 83 - 28/9*y**4 - 8/15*y**5 - 28/3*y**3 - 1/27*y**6 - 12*y. Suppose t(f) = 0. Calculate f.
-3, -2, -1
Let a be 60/100*(-20)/(-36). Let n(r) be the first derivative of -4/9*r**3 + a*r**4 + 0*r - 4/3*r**2 + 7. Factor n(c).
4*c*(c - 2)*(c + 1)/3
Let o(a) be the first derivative of -126 + 12*a + a**2 - 2/3*a**3. Factor o(n).
-2*(n - 3)*(n + 2)
Let a be 1*6/9*(-3)/(-2). Determine w so that -26*w + 13 - a + 29*w**3 + 23*w**2 - 34*w**3 + 66*w = 0.
-1, -2/5, 6
Let j(x) be the third derivative of 256*x**7/21 + 56*x**6 - 46*x**5 + 355*x**4/24 - 5*x**3/2 - 712*x**2. Factor j(q).
5*(q + 3)*(8*q - 1)**3
Let x(w) = 7*w + 133. Let l(q) = 21*q + 265. Let j(o) = -2*l(o) + 5*x(o). Let v be j(19). Factor 2/5 + 1/5*y - 1/5*y**v.
-(y - 2)*(y + 1)/5
Let r be (-8)/(-24) + 1263/(-36). Let s = r + 699/20. Factor 1/10*c**2 + 1/10*c**3 + 0 - s*c.
c*(c - 1)*(c + 2)/10
Determine v, given that 312*v - 224*v + 752*v + 16 + 7056*v**2 + 9 = 0.
-5/84
Let t be (-1)/(262/(-20))*450/(-375). Let b = t + 1418/1179. Factor 0 - b*z**3 - 2/9*z**4 - 16/9*z**2 - 8/9*z.
-2*z*(z + 1)*(z + 2)**2/9
Let -895/2*p**2 - 240*p**3 + 25/4*p**5 + 35*p**4 - 265/4*p + 225/2 = 0. Calculate p.
-9, -1, 2/5, 5
Suppose 7*g - 89 - 296 = 0. Suppose 0*s + v + 13 = s, -5*s = 5*v - g. Factor 4 + s*y**2 + 4*y**3 - 2*y + 22*y - 8*y.
4*(y + 1)**3
Let w be 703 - 672 - (-216)/(-7). Factor -w*i**2 + 10/7*i - 9/7.
-(i - 9)*(i - 1)/7
Let l(n) be the second derivative of -n**6/30 + n**5 + 67*n**4/12 + 23*n**3/3 + 587*n. Factor l(k).
-k*(k - 23)*(k + 1)*(k + 2)
Let u(b) = -17*b**3 + 315*b**2 + 1744*b + 2543. Let d(f) = -3*f**3 + 63*f**2 + 349*f + 509. Let o(k) = -11*d(k) + 2*u(k). Factor o(i).
-(i + 3)**2*(i + 57)
Let j = 2091 - 1536884/735. Let z(o) be the third derivative of 2/21*o**4 - 4/21*o**3 + 0*o + 0 + j*o**7 - 1/210*o**6 - 6*o**2 - 1/70*o**5. Factor z(w).
2*(w - 2)*(w - 1)**2*(w + 2)/7
Let l be 5/((-275)/(-130))*440/160. Find q such that -l*q**4 - 5/2*q**5 - 22*q + 21/2*q**3 + 29/2*q**2 + 6 = 0.
-3, -2, 2/5, 1
Factor 86*g**2 + 166*g + 30*g**3 - 58*g**3 + 30*g**3 + 40 + 42.
2*(g + 1)**2*(g + 41)
Let c(y) be the first derivative of y**3/9 - 353*y**2/3 + 1862. Let c(z) = 0. What is z?
0, 706
Factor 1/4*g**2 + 790*g + 624100.
(g + 1580)**2/4
Let s(v) be the first derivative of 25*v**4/2 - 4720*v**3/3 + 932*v**2 + 1504*v - 2850. Suppose s(u) = 0. Calculate u.
-2/5, 4/5, 94
Let u = 4352 - 4350. Let t(b) be the first derivative of 0*b + 2/5*b**u + 1 - 1/15*b**3. Determine v so that t(v) = 0.
0, 4
Let j = -19 + 20. Let i be 5*j + 0 + 2380/(-490). Factor 0 + 1/7*t - i*t**2.
-t*(t - 1)/7
Let z(q) be the second derivative of -11*q**7/14 + 3*q**6/4 + 291*q**5/40 - 31*q**4/4 - 9*q**3 + 6*q**2 + 62*q. Determine r so that z(r) = 0.
-2, -1/2, 2/11, 1, 2
Let x(m) be the third derivative of -m**6/180 + 29*m**5/90 - 26*m**4/9 + 100*m**3/9 + 1375*m**2. Factor x(o).
-2*(o - 25)*(o - 2)**2/3
Factor -6*u**3 + 1308*u + 1650 - 1481*u + 26*u**3 + 3345*u**2 + 7608*u.
5*(u + 2)*(u + 165)*(4*u + 1)
Let t(o) be the first derivative of o**3 - 174*o**2 - 708*o + 6786. What is f in t(f) = 0?
-2, 118
Suppose -74*z = -78*z + 20, -5*t - z + 50 = 0. Let q be 12/t + (-17)/15. Solve -q*w**2 + 1/5*w + 2/5 = 0.
-1, 2
Let p(b) = b**3 + 20*b**2 - b - 17. Let o be p(-20). Let w = o - 0. Find d such that -27*d + 8 + 11*d - w*d**3 + 10*d**2 + d**3 = 0.
1, 2
Factor 24 - 58/15*i + 2/15*i**2.
2*(i - 20)*(i - 9)/15
Let u(r) be the second derivative of -r**5/50 - 11*r**4/3 - 428*r**3/15 - 424*r**2/5 + 23*r - 15. Factor u(h).
-2*(h + 2)**2*(h + 106)/5
Let i(d) be the second derivative of -19*d**5/90 - 778*d**4/27 - 31775*d**3/27 + 3362*d**2/9 + 2*d - 3098. Factor i(f).
-2*(f + 41)**2*(19*f - 2)/9
Let m(j) be the second derivative of j**5/20 + 17*j**4/12 - 110*j**3/3 - 250*j**2 - 6768*j. Find h, given that m(h) = 0.
-25, -2, 10
Let u(w) = 249*w + 1496. Let f be u(-6). Let i(s) be the second derivative of -3/22*s**f + 11*s + 2/33*s**3 - 1/132*s**4 + 0. Factor i(q).
-(q - 3)*(q - 1)/11
Let s(r) be the first derivative of 1372/5*r**5 + 0*r + 294*r**4 + 28 + 112*r**3 + 16*r**2. Factor s(i).
4*i*(7*i + 2)**3
Let p(m) be the third derivative of m**6/160 + 1443*m**5/80 + 16245*m**4 - 130321*m**3/2 - m**2 - 275. Solve p(h) = 0.
-722, 1
Let n be (-4)/(-670)*190/38. Let d = n - -388/469. Factor 81/7*o + 93/7*o**3 + 180/7*o**2 - d.
3*(o + 1)**2*(31*o - 2)/7
Let f(y) be the second derivative of 5*y**4/3 - 595*y**3/3 + 70805*y**2/8 + 6*y - 590. Factor f(z).
5*(4*z - 119)**2/4
Suppose 0 = -14*p + 20*p + 48. Let c = 23 + p. Factor -16*a + 5*a**2 + 9*a + 17*a - c.
5*(a - 1)*(a + 3)
Let v be ((-2)/5)/(16 - 3096/192). Factor 1/5*z**4 - v - 2/5*z**3 + 32/5*z - 3*z**2.
(z - 4)*(z - 1)**2*(z + 4)/5
Let v be 27/(-6)*(-564)/(-18). Let z = v + 143. Let -1/6*d**z + 8/3*d - 