*4 - 14*i**2 - 20/3*i - l*i**3.
-(i + 2)**3*(4*i - 1)/3
Let b(m) be the third derivative of 0*m**4 + 0*m**3 + 0*m - 1/1155*m**7 + 42*m**2 - 2/165*m**5 + 0 - 1/165*m**6. Factor b(z).
-2*z**2*(z + 2)**2/11
Let m(s) be the second derivative of 16*s - 70*s**2 + 2 + 1/4*s**5 - 55/12*s**4 + 80/3*s**3. Let m(c) = 0. Calculate c.
2, 7
Let m(o) be the second derivative of o**6/1800 + o**5/100 + o**4/24 + o**3/3 + 3*o**2/2 - 64*o. Let c(x) be the second derivative of m(x). Factor c(k).
(k + 1)*(k + 5)/5
Let z(t) be the third derivative of -t**6/200 - t**5/100 + t**4/4 - 4*t**3/5 - 536*t**2 - 2*t. Factor z(f).
-3*(f - 2)*(f - 1)*(f + 4)/5
Let j(n) = 9*n + 2*n - 48 + 15 + 8*n - 2*n**2. Let i be j(7). Factor 0*b**3 + 0 + 4/5*b**4 - 8/5*b - 12/5*b**i.
4*b*(b - 2)*(b + 1)**2/5
Let v = 70/59 - -41/413. Let a be 9/((126/4)/3). Let -v*y**3 + a - 6/7*y**2 + 9/7*y = 0. Calculate y.
-1, -2/3, 1
Let t(y) be the second derivative of -1/10*y**5 - 60*y - 1/63*y**7 + 2/9*y**4 + 0*y**2 + 4/9*y**3 + 0 - 4/45*y**6. Solve t(j) = 0 for j.
-2, -1, 0, 1
Let -2/15*u**5 + 52/15*u + 0 - 82/15*u**2 + 2/5*u**3 + 26/15*u**4 = 0. Calculate u.
-2, 0, 1, 13
Let k = -542194 - -542196. Find o, given that -8/9 - 11/3*o - 4/9*o**k = 0.
-8, -1/4
Let h(y) = 503*y**2 + 10*y + 8. Let r(c) = -1006*c**2 - 18*c - 14. Let t(p) = 7*h(p) + 4*r(p). Factor t(z).
-z*(503*z + 2)
Let s(v) be the second derivative of v**7/21 + 4*v**6/25 - 2*v**5/25 - 3*v**4/5 - v**3/15 + 6*v**2/5 - 2180*v. Suppose s(m) = 0. What is m?
-2, -1, 3/5, 1
Let k be 405/(-1215) - 1/((-12)/8). Factor h**4 - 11/3*h**2 + k*h**3 + 4*h - 4/3 - 1/3*h**5.
-(h - 2)*(h - 1)**3*(h + 2)/3
Let o(y) be the third derivative of -y**5/20 - 13*y**4/8 - 21*y**3 - 4*y**2 + 5*y + 16. Factor o(b).
-3*(b + 6)*(b + 7)
Let l(c) be the second derivative of -c**4/42 - 46*c**3/7 - 137*c**2/7 - c + 1841. Factor l(h).
-2*(h + 1)*(h + 137)/7
Let h(s) be the third derivative of s**7/560 - 13*s**6/320 + 11*s**5/160 + 13*s**4/64 - 3*s**3/4 - 2*s**2 - 150. Let h(m) = 0. Calculate m.
-1, 1, 12
Let f be -2 + 5/10*6*2. Suppose -q = 4*q - 125. Factor 10 - f*b + 11 - q - b**2.
-(b + 2)**2
Let p(y) = -y**2 + 4*y + 4. Let o be p(0). Factor 26*a + 7*a**2 + 5*a**2 + 10*a - 9*a - o*a**3 - 108 + 9*a.
-4*(a - 3)**2*(a + 3)
Suppose -m - 4 = 0, f = 95*m - 94*m + 7. Let w(d) be the first derivative of 4*d - 7/3*d**f + 22 - 6*d**2. Let w(u) = 0. Calculate u.
-2, 2/7
Let b(s) be the first derivative of s**4/7 + 64*s**3/21 - 110*s**2/7 + 152*s/7 + 1921. Factor b(q).
4*(q - 2)*(q - 1)*(q + 19)/7
Find d, given that -4 - 4 - 14332*d + 1840*d + 0 + 0 + 18756*d**2 = 0.
-1/1563, 2/3
Determine y, given that -110*y + 52/3*y**2 - 2/3*y**3 + 0 = 0.
0, 11, 15
Let k(a) = 3*a**2 - 15*a - 13. Suppose 0 = -17*j + 29 + 56. Let c(q) = -8*q**2 + 46*q + 40. Let f(p) = j*c(p) + 14*k(p). Factor f(g).
2*(g + 1)*(g + 9)
Factor -835*k - 652 + 102*k**3 + 442 - 82*k**3 + 25*k**2.
5*(k - 6)*(k + 7)*(4*k + 1)
Let o(h) be the first derivative of -2*h**5/3 + h**4/2 + 26*h**3/9 - h**2 - 16*h/3 - 1885. Suppose o(d) = 0. Calculate d.
-1, 1, 8/5
Determine x so that 207*x**2 - 424*x**2 + 220*x**2 - 474*x + 158*x - 365*x = 0.
0, 227
Let -1/4*r**5 - 18 - 211/4*r**2 - 93/4*r**3 - 103/2*r - 17/4*r**4 = 0. What is r?
-9, -4, -2, -1
Suppose -n + 5 = -0*n, 19 = 3*m + 5*n. Let w be ((-5)/((-20)/(-24)))/m. Determine c so that -9*c**2 - 5*c**4 - 9*c**3 - 10*c - 16*c**2 - 11*c**w = 0.
-2, -1, 0
Let a(h) be the first derivative of 3*h**4/8 - 1371*h**3/2 + 1411785*h**2/4 - 1407675*h/2 - 4874. Determine i so that a(i) = 0.
1, 685
Determine r, given that 2/5*r**3 - 34/5*r**2 + 18 + 54/5*r = 0.
-1, 3, 15
Let b be (175 - -29)/17 - (9 - 1). Factor 1/2*a**3 + 3/2*a**b - a + 0 + 1/2*a**5 - 3/2*a**2.
a*(a - 1)*(a + 1)**2*(a + 2)/2
Suppose 54 = 9*t + 36. Let u be (0 + t)/((-25)/(-5)). Factor 0 + 0*v**2 + u*v - 2/5*v**3.
-2*v*(v - 1)*(v + 1)/5
Factor 840*x + 13114*x**3 - 180 - 6659*x**3 - 6595*x**3 - 695*x**2.
-5*(x + 6)*(4*x - 3)*(7*x - 2)
Suppose k + m + 3802 - 3812 = 0, -2*k = -m + 4. Factor -2/11*u**3 - 4/11*u + 0 + 6/11*u**k.
-2*u*(u - 2)*(u - 1)/11
Solve -785*x**5 - 582*x**4 - 213*x**4 - 425*x**2 + 699*x**3 - 114*x**3 + 10*x + 190*x**3 + 1220*x**2 = 0.
-1, -2/157, 0, 1
Let s(z) be the third derivative of -z**6/24 - 7*z**5/12 + 40*z**4 - 570*z**3 + 4*z**2 + 58. Factor s(d).
-5*(d - 6)**2*(d + 19)
Let m(a) be the first derivative of -a**4 - 1360*a**3/3 - 674*a**2 + 2712*a - 9234. Let m(i) = 0. Calculate i.
-339, -2, 1
Let n(s) = -8*s**4 - 98*s**3 + 72*s**2 + 202*s - 10. Let g(v) = 2*v**4 + 33*v**3 - 24*v**2 - 67*v + 3. Let c(w) = -10*g(w) - 3*n(w). Factor c(r).
4*r*(r - 8)*(r - 2)*(r + 1)
Let u = 311 + -115. Factor 150 + u*x - 201 - 9*x**2 - 40*x.
-3*(x - 17)*(3*x - 1)
Suppose 3*c - 7*c = 5*q + 143, -2*q + 3*c = 71. Let r = -26 - q. Find k, given that -6*k**2 - 4*k**3 + 20*k**4 + 2*k**2 + 26*k**r - 38*k**5 + 0*k**2 = 0.
-1/3, 0, 1
Suppose -4*q - p + 9 = 0, 6 = 3*q + p - 0. Factor 4*x**5 + 27*x**q + 228*x + 0*x**5 - 220*x + 20*x**4 + 9*x**3 + 28*x**2.
4*x*(x + 1)**3*(x + 2)
Let f(z) = -z**5 - 21*z**4 - 21*z**3 - 7*z**2 + 6*z + 18. Let w(d) = d**4 - d**3 - d**2 - d - 3. Let o(j) = f(j) + 6*w(j). Let o(v) = 0. Calculate v.
-13, -1, 0
Suppose -i = 3*c - 2*c - 16, i = -5*c + 60. Suppose -3*d + 2 = -2*p, 8*p = -5*d + c*p + 4. Factor 2/9*j + 0 - 2/9*j**3 + 0*j**d.
-2*j*(j - 1)*(j + 1)/9
Suppose -v = 3*b - 2079, -353 + 365 = 3*b. Let u = 2070 - v. Factor 1056/7*j**2 - 192/7 - 6*j**5 - 912/7*j**u + 324/7*j**4 - 288/7*j.
-6*(j - 2)**4*(7*j + 2)/7
Let q(k) be the first derivative of -15376*k**4 - 3472*k**3/3 - 49*k**2/2 - 4995. Suppose q(b) = 0. What is b?
-7/248, 0
Let n = -1831/3 + 3671/6. Factor -n*w**2 + 21/2*w + 45.
-3*(w - 10)*(w + 3)/2
Let a = -2426 - -2426. Let i(b) be the third derivative of 0 - 16*b**2 + a*b - 11/96*b**4 + 1/12*b**3 + 3/80*b**5. Factor i(r).
(r - 1)*(9*r - 2)/4
Let n(c) be the second derivative of 2*c**7/21 - c**6/2 + 3*c**5/5 + c**4/3 - 25*c - 24. Factor n(m).
m**2*(m - 2)**2*(4*m + 1)
Factor 21/4*f - 27/4 + 7/4*f**2 - 1/4*f**3.
-(f - 9)*(f - 1)*(f + 3)/4
Let b = -1809 + 90451/50. Let f(x) be the second derivative of 0 - 10*x + 0*x**4 + 0*x**3 + 0*x**2 + b*x**5. Factor f(i).
2*i**3/5
Suppose 26*s = 46*s + 112*s - 528. Let v(l) be the first derivative of -21 + 1/6*l**s - 4/9*l**2 - 1/27*l**6 + 4/45*l**5 + 0*l - 8/27*l**3. Factor v(k).
-2*k*(k - 2)**2*(k + 1)**2/9
Let l(r) be the third derivative of r**5/20 - 235*r**4/8 + 117*r**3 - 386*r**2. Factor l(j).
3*(j - 234)*(j - 1)
Let w(d) be the third derivative of d**5/330 - 19*d**4/132 + 16*d**3/11 - 33*d**2 + 3*d. Find j such that w(j) = 0.
3, 16
Let z = 229 + -121. Factor -54*j - 4*j**5 + 21*j**2 - 93*j**2 + 5*j**5 + z + 12*j**4 + j**5 + 4*j**3.
2*(j - 2)*(j - 1)*(j + 3)**3
Let b(s) be the first derivative of -4*s**5/5 - 17*s**4 + 232*s**3/3 - 80*s**2 - 5192. Factor b(t).
-4*t*(t - 2)*(t - 1)*(t + 20)
Let u = -3618 - -18096/5. Let n(q) be the second derivative of u*q**5 + 4/15*q**6 + 1/6*q**4 + 4*q**2 + 0 + q - 4*q**3. Let n(b) = 0. What is b?
-2, 1/2
Let u(h) be the third derivative of h**7/630 - h**6/90 + h**5/30 + 5*h**4/4 + 17*h**2. Let v(l) be the second derivative of u(l). Find d such that v(d) = 0.
1
Find k, given that -7/6*k**3 + 2/3*k**4 - 5/3*k**2 + 1/6*k**5 + 0*k + 0 = 0.
-5, -1, 0, 2
Let u be (-9)/(-5) - (6270/(-95))/(-66). Factor u*j**4 + 4/5*j**3 - 8/5 - 4*j - 12/5*j**2.
4*(j - 2)*(j + 1)**3/5
Let r(f) be the third derivative of 33*f**5/20 + 65*f**4/4 - 4*f**3 + 651*f**2 - 1. Factor r(t).
3*(t + 4)*(33*t - 2)
Suppose g + 4 = 6. Let v be 5 - (221/884)/(1/44) - -9. Let -2/5 - 7/5*p - 2/5*p**v - 7/5*p**g = 0. What is p?
-2, -1, -1/2
Let w = -349 - -1179. Let f be 0/1 + w/90 + -9. Suppose f*m**5 - 2/3*m**3 + 0 - 16/9*m**2 + 4/9*m**4 - 8/9*m = 0. Calculate m.
-2, -1, 0, 2
Let u(k) be the third derivative of 7*k**5/75 + 11*k**4/4 - 12*k**3/5 + 78*k**2 + 4*k - 7. What is q in u(q) = 0?
-12, 3/14
Let d = -827 + 7451/9. Let w(x) be the first derivative of -9 + 1/3*x**4 + 8/3*x - 2/3*x**2 - d*x**3. Factor w(g).
4*(g - 2)*(g - 1)*(g + 1)/3
Let p(o) be the second derivative of 2*o**6/15 + 533*o**5/5 + 32025*o**4 + 12188750*o**3/3 + 85750000*o**2 - 12*o - 254. Solve p(y) = 0 for y.
-175, -8
Let q = 10 - 7. Suppose -h - 8 = -q*h. Let 8*w**2 + 2*w**2 + 25*w**h - 5*