rd derivative of a**5/90 - 95*a**4/3 + 36100*a**3 + 1033*a**2. Factor b(i).
2*(i - 570)**2/3
Let b(s) = -224*s - 429. Let i be b(-8). Let l = i - 23163/17. Solve -l*f**3 + 14/17*f**2 + 0 + 4/17*f = 0 for f.
-1/4, 0, 2
Suppose -54 = 58*z - 518. Let v be z*(430/360 + -1). What is o in 4/3 - v*o + 2/9*o**2 = 0?
1, 6
Let b(w) be the second derivative of -6*w**2 + 16/3*w**3 + 0*w**5 + 0 + 22*w - 2*w**4 + 2/15*w**6. Let b(u) = 0. What is u?
-3, 1
Let f(y) = 4*y**2 + 792*y + 676. Let t(m) = -4*m**2 - 792*m - 692. Let d(s) = -6*f(s) - 7*t(s). Find w such that d(w) = 0.
-197, -1
Let r be (-1)/4 - (-4900)/400. Suppose 0 = 5*d + i - 132, 7*i - r = 11*i. Factor -72*l - 72*l**2 - 32*l**3 - d - 16/3*l**4.
-(2*l + 3)**4/3
Factor -5*r**2 - 3943*r + 1051*r - 8298*r - 6260805.
-5*(r + 1119)**2
Let o(m) = 9*m**4 + 33*m**3 - 159*m**2 + 123*m - 54. Let r(g) = g**4 - 5*g**2 + g - 1. Let h(y) = -o(y) + 12*r(y). Determine t, given that h(t) = 0.
1, 2, 7
Let i(h) = 13*h - 81. Let y be i(6). Let r be (y/1)/(6/(-46)). Suppose 51 + 3*s**2 - 22 - 30*s + r + 23 = 0. Calculate s.
5
Let l be 12*-2 + 360*(-8)/(-120). Factor l + 3*w + 3/4*w**4 - 9/4*w**3 + 0*w**2.
3*w*(w - 2)**2*(w + 1)/4
Let q(n) be the first derivative of n**8/336 + n**7/105 + 99*n**2/2 - 134. Let f(z) be the second derivative of q(z). Determine w so that f(w) = 0.
-2, 0
Let g(s) be the third derivative of 2*s**7/105 - s**6/90 - s**5/10 - 97*s**3/6 + 8*s**2 - s. Let c(z) be the first derivative of g(z). Factor c(m).
4*m*(m - 1)*(4*m + 3)
Let z = -382 - -428. Let -29*d**2 + 101*d**2 - 22*d + 0*d**3 - 4*d**3 - z*d = 0. Calculate d.
0, 1, 17
Let q(o) be the first derivative of -2*o**5/15 + o**4/2 - 4*o**2/3 + 1115. Find u, given that q(u) = 0.
-1, 0, 2
Let u(g) be the first derivative of 0*g - 1/24*g**4 + 1/18*g**3 - 1/30*g**5 + 1/36*g**6 + 0*g**2 - 29. Find i, given that u(i) = 0.
-1, 0, 1
Let k = -47678 - -238422/5. Factor k*h + 12/5*h**2 - 2/5*h**3 + 0.
-2*h*(h - 8)*(h + 2)/5
Let i(t) be the first derivative of 0*t + 4/5*t**4 + 14/5*t**3 + 18/5*t**2 + 2/25*t**5 + 93. Determine u, given that i(u) = 0.
-3, -2, 0
Let p(j) = -j**4 - 13*j**3 + 2*j**2 - 4. Let v(b) = 15 + 20*b**3 + 3*b**4 - 19*b**3 + 16*b**3 + 34*b**3 - 9*b**2. Let f(h) = 15*p(h) + 4*v(h). Factor f(s).
-3*s**2*(s - 2)*(s - 1)
Find y such that 486433 - 105937*y + 99769*y - 6*y**2 - 898905 + 2*y**2 - 1965292 = 0.
-771
Let r(q) = q**2 + 3*q - 13. Let y be r(0). Let o be 2/(-1)*y/52. Factor -1/2*u**5 + u**3 + u**2 - o - 1/2*u - 1/2*u**4.
-(u - 1)**2*(u + 1)**3/2
Let q = 4205 + -4205. Let i(z) be the third derivative of 1/600*z**6 - 1/1050*z**7 + 1/300*z**5 - 5*z**2 + q - 1/120*z**4 + 0*z + 0*z**3. Factor i(k).
-k*(k - 1)**2*(k + 1)/5
Let b = 25 + -23. Suppose b*t = 10 - 6. Factor -2*o**2 + 5*o**2 + 0*o**t + 3*o.
3*o*(o + 1)
Let d(l) be the second derivative of l**6/165 - 21*l**5/22 - 72*l**4/11 - 436*l**3/33 - 714*l - 2. What is n in d(n) = 0?
-2, 0, 109
Let b = 13 - 3. Let t(i) = 3*i**2 - 8*i + 2. Let y be t(b). Solve 9*q**3 - 3 - q - y*q**2 - 8*q + 225*q**2 = 0.
-1, -1/3, 1
Let o(q) be the first derivative of q**6/9 + 2*q**5/5 - 7*q**4/6 - 22*q**3/9 + 2*q**2 + 16*q/3 - 205. Suppose o(x) = 0. What is x?
-4, -1, 1, 2
Factor 29/5*t**2 + 27/5 - 1/5*t**3 - 11*t.
-(t - 27)*(t - 1)**2/5
Let o be 98/1029 + (48/63)/(-8). Let f(q) be the third derivative of 1/15*q**5 + 1/30*q**6 + 17*q**2 - 1/3*q**4 + o*q**3 + 0*q + 0. Factor f(k).
4*k*(k - 1)*(k + 2)
Let s(m) be the third derivative of m**8/1344 + m**7/168 + m**6/240 - m**5/30 - 209*m**2 + 1. Suppose s(w) = 0. Calculate w.
-4, -2, 0, 1
Find m such that 192*m - 4/5*m**3 + 23040 + 2/5*m**4 - 958/5*m**2 = 0.
-15, 16
Let m(k) be the second derivative of -40 - 1/48*k**3 + 1/48*k**4 + 1/160*k**5 + k - 1/8*k**2. Factor m(u).
(u - 1)*(u + 1)*(u + 2)/8
Suppose -28*r + 9*r = 31*r - 400. Let k(m) be the first derivative of -10/3*m**3 - r*m**2 - 9 + 8*m. Determine t, given that k(t) = 0.
-2, 2/5
Let q(n) be the third derivative of n**8/48 + 2*n**7/21 + 19*n**6/120 + n**5/10 - 1113*n**2. Factor q(o).
o**2*(o + 1)**2*(7*o + 6)
Let p(j) be the first derivative of -24/5*j**5 + 0*j**2 + 9*j**4 - 8 + 2/3*j**6 - 16/3*j**3 + 0*j. Factor p(a).
4*a**2*(a - 4)*(a - 1)**2
Let d(u) be the first derivative of 0*u**2 - 2/3*u**3 + u + 27 + 0*u**4 + 1/5*u**5. Factor d(o).
(o - 1)**2*(o + 1)**2
Find g, given that -1/2*g**5 - 159/2*g**3 + 80*g + 131*g**2 + 13*g**4 - 144 = 0.
-1, 1, 4, 18
Let s(j) be the third derivative of -j**7/525 + j**6/300 + 3*j**5/50 - 3*j**4/20 + 3*j**2 - 170. Factor s(q).
-2*q*(q - 3)*(q - 1)*(q + 3)/5
Let m(w) be the third derivative of w**9/4536 + w**8/630 + w**7/252 + w**6/270 + 23*w**3/3 + 32*w**2. Let x(g) be the first derivative of m(g). Factor x(o).
2*o**2*(o + 1)**2*(o + 2)/3
Let g(w) be the second derivative of 20*w**2 + 4*w**3 - 6 + 2*w + 1/6*w**4. Factor g(x).
2*(x + 2)*(x + 10)
Let m be (-7)/((-56)/272) + 5. Factor 15 - 33 - 12*q**2 + 27*q**2 + m*q.
3*(q + 3)*(5*q - 2)
Let n(y) be the third derivative of y**5/390 + 9*y**4/13 + 107*y**3/39 - 6*y**2 + 3. Determine f so that n(f) = 0.
-107, -1
Let b = -79 - -78. Let i = b + 4. Factor -62 + i*d**2 + 13 - 4*d**2 - 14*d.
-(d + 7)**2
Factor 3456 + 78*j**2 + 76*j**2 - 336*j**2 + 92*j**2 - 2*j**3 - 864*j.
-2*(j - 3)*(j + 24)**2
Let m(q) be the second derivative of -3*q**2 + 7/3*q**3 + 0 - 1/3*q**4 + 32*q. Solve m(o) = 0.
1/2, 3
Let a be 14/8*(-242)/77*(-1 + 110/121). Factor 7/2*r**4 - 2*r + 13/2*r**2 + 0 - a*r**5 - 15/2*r**3.
-r*(r - 4)*(r - 1)**3/2
Let h(c) = -c**2 + 18*c + 42. Let k be h(-2). Let d(z) be the third derivative of 1/15*z**4 - 1/5*z**3 + 14*z**k + 0*z + 0 - 1/150*z**5. Factor d(p).
-2*(p - 3)*(p - 1)/5
Let u(g) = 4*g**3. Let c(o) = -5*o**3 - 21*o**2 - 72*o + 432. Let b(r) = 2*c(r) + 2*u(r). Factor b(n).
-2*(n - 3)*(n + 12)**2
Let n be 294/45 + (2 - (-650)/(-125)). Factor 16/15 + 2/5*x**2 + n*x.
2*(x + 8)*(3*x + 1)/15
Let -114*c**2 - 860*c - 3*c + 57*c**2 + 27*c + 59*c**2 + 834 = 0. What is c?
1, 417
Let t(r) be the third derivative of r**5/210 - 383*r**4/42 + 255*r**3/7 - 6126*r**2. Let t(h) = 0. What is h?
1, 765
Let i(f) be the second derivative of -38/25*f**5 - 17 + 722/75*f**6 + 0*f**3 + 0*f**2 + 4/45*f**4 - 2*f - 6859/315*f**7. Determine n, given that i(n) = 0.
0, 2/19
Suppose 5*q + 35 = 3*n, -54 + 24 = -2*n + 5*q. Let z(i) be the third derivative of 14*i**2 + 3/8*i**4 + 0*i + 0 + 1/20*i**n - 2*i**3. Factor z(j).
3*(j - 1)*(j + 4)
Let y(j) = j**4 + 56*j**3 + 49*j**2 - 71*j - 60. Let u(z) = 2*z**4 + 114*z**3 + 101*z**2 - 141*z - 121. Let l(d) = -5*u(d) + 9*y(d). Factor l(q).
-(q - 1)*(q + 1)**2*(q + 65)
Let m(h) be the first derivative of 2*h**5/45 - 193*h**4/18 + 18430*h**3/27 + 9409*h**2/9 - 2336. Let m(r) = 0. What is r?
-1, 0, 97
Suppose 2*l - 35 = -c, -37*c + 3 = -34*c. Let m(f) be the first derivative of 42/5*f**2 - 48/5*f - 2*f**3 + l. Determine s, given that m(s) = 0.
4/5, 2
Let q(d) be the second derivative of d**6/45 + d**5/3 - 2*d**4 - 72*d**3 - 576*d**2 + 3028*d. Find w, given that q(w) = 0.
-6, 8
Let r(q) be the second derivative of -q**6/210 + 27*q**5/70 - 26*q**4/3 - 9*q**3/7 + 729*q**2/14 - 8695*q. Factor r(d).
-(d - 27)**2*(d - 1)*(d + 1)/7
Suppose 2*t + 0*t - 39 = -3*c, 4*t = 0. Suppose 3149 = c*p - 296. Factor -p - 5*o + 265 - 20*o**2.
-5*o*(4*o + 1)
Let k(m) be the second derivative of -5/24*m**4 - 1/12*m**5 + 1/24*m**6 - 13/2*m**2 - 6*m + 0 + 5/6*m**3. Let j(x) be the first derivative of k(x). Factor j(v).
5*(v - 1)**2*(v + 1)
Let u(x) be the first derivative of -50 - 120*x**2 - 1/2*x**4 + 14*x**3 + 200*x. Factor u(s).
-2*(s - 10)**2*(s - 1)
Let v(o) be the second derivative of o**6/6 + 7*o**5/2 + 30*o**4 + 400*o**3/3 + 320*o**2 + 4*o + 1596. Factor v(p).
5*(p + 2)*(p + 4)**3
Let l(h) = 17*h**2 + 2214*h - 13. Let x(v) = 13*v**2 + 1661*v - 10. Let g(b) = 10*l(b) - 13*x(b). Factor g(o).
o*(o + 547)
Let w(p) be the first derivative of -9/40*p**5 - 9/40*p**6 + 0*p**2 + 11 - 16*p - 1/16*p**4 + 0*p**3. Let r(y) be the first derivative of w(y). Factor r(n).
-3*n**2*(3*n + 1)**2/4
Let p(y) be the first derivative of 98 + 0*y**3 + 0*y**2 - 1/33*y**6 + 0*y + 39/22*y**4 + 4/11*y**5. Factor p(d).
-2*d**3*(d - 13)*(d + 3)/11
Let x = -2569/156 - -205/12. Let j(w) be the first derivative of 25 + 14/65*w**5 - 16/13*w**2 - 32/13*w + x