= -3*j. Let d(o) be the first derivative of -1 + 4/15*o**5 + 0*o**2 + j*o**3 - 1/18*o**6 + 0*o - 1/3*o**4. Factor d(l).
-l**3*(l - 2)**2/3
Let k = -8717/837 + 324/31. Let g(o) be the second derivative of 10*o + 0*o**2 - k*o**4 - 4/27*o**3 + 0. Factor g(y).
-4*y*(y + 2)/9
Let q be 48/(-264) - (-35)/11*1. Factor 0 - 4/5*i**5 + 0*i + 16/5*i**2 + 0*i**q - 12/5*i**4.
-4*i**2*(i - 1)*(i + 2)**2/5
Suppose 5*z = z - 28. Let k(t) = -155*t - 11. Let a be k(z). Factor 4*s**2 - 1064*s**3 + 6*s**2 + s**5 + a*s**3 + 5*s**4 + 1 + 5*s.
(s + 1)**5
Let m(l) be the first derivative of l**3/18 - 455*l**2/3 + 414050*l/3 + 4530. Factor m(y).
(y - 910)**2/6
Let n(b) be the second derivative of b**4/9 - 608*b**3/9 + 202*b**2 + 4*b + 11. Solve n(f) = 0 for f.
1, 303
Suppose -205*o + 191*o = -343*o - 171*o + 1000. Suppose 1/8*l**o + 1/8 - 1/4*l = 0. Calculate l.
1
Let y(f) = 10*f**3 - 6*f**2 - 4*f. Let q(h) = -9*h**3 + 6*h**2 + 3*h. Let b be 2/3 - (44/3 + -8). Let v(d) = b*y(d) - 7*q(d). Factor v(w).
3*w*(w - 1)**2
Factor -168*r**3 + 5*r**4 + 10*r**3 + 933*r**3.
5*r**3*(r + 155)
Let n be -14*(-10)/(-20)*-6. Let t be (-30)/(-25)*4/n*7. What is y in 2/5*y**4 - t*y + 12/5*y**2 + 0 - 9/5*y**3 = 0?
0, 1/2, 2
Let g(v) be the second derivative of 2*v**7/21 - 26*v**6/15 + 9*v**5/5 + 41*v**4/3 - 124*v**3/3 + 48*v**2 + 1772*v. Factor g(n).
4*(n - 12)*(n - 1)**3*(n + 2)
Let u(s) be the third derivative of 2*s**2 + 1/420*s**7 - 1/120*s**5 + 0*s**3 + 0 - 8*s + 1/120*s**6 - 1/24*s**4. Find j, given that u(j) = 0.
-2, -1, 0, 1
Let x(i) = i**2 - 24*i + 47. Let j be x(22). Let q(p) be the second derivative of 0 + 4/5*p**5 + j*p**4 + 0*p**2 - 17*p + 4/3*p**3. Factor q(n).
4*n*(n + 2)*(4*n + 1)
Suppose -3*w = -81 + 69. Suppose -w = 3*t - 13. Factor 26*m**2 - 4*m**3 - 23*m**2 + t*m**3 + 3*m - 3 - 2*m**3.
-3*(m - 1)**2*(m + 1)
Let k(c) = 8*c**4 + 13*c**3 + 19*c**2 - 40*c - 6. Let r(j) = 66*j**4 + 103*j**3 + 151*j**2 - 320*j - 50. Let f(y) = 50*k(y) - 6*r(y). Factor f(a).
4*a*(a - 1)*(a + 4)*(a + 5)
Let u be ((-118)/(-236))/(2/4*-1). Let x be u/78 - (-8 - -4)/24. Determine o, given that x*o**4 + 10/13*o - 2/13*o**3 - 4/13 - 6/13*o**2 = 0.
-2, 1
Let c(d) be the second derivative of -d**5/5 - 2882*d**4/3 - 4152962*d**3/3 + 13*d + 1. Factor c(r).
-4*r*(r + 1441)**2
Let c(i) be the third derivative of 147*i**6/16 - 1765*i**5/24 + 1105*i**4/6 - 5*i**3/3 - 12533*i**2. Suppose c(r) = 0. Calculate r.
1/441, 2
Let w = 1427 + -954. Let i be (-12)/2 + 2924/w. Determine h, given that 0 - i*h**4 + 2/11*h**2 + 4/11*h - 4/11*h**3 = 0.
-2, -1, 0, 1
Suppose 17*s - 28 + 5 = 11. Let d(i) be the second derivative of 1/30*i**5 + i + 1/3*i**3 + 0 - 1/6*i**4 - 1/3*i**s. Factor d(m).
2*(m - 1)**3/3
Suppose -8 - 28 = 3*g. Let a(m) = 2*m + 28. Let r be a(g). Factor 30*c**2 + 16*c**r - 5*c**3 + 15*c**4 - 36*c**4.
-5*c**2*(c - 2)*(c + 3)
Let t(b) = 8*b**2 - 6*b + 4. Let x be t(2). Let w = x - 20. Factor -16*c**3 - 4*c**2 + 2*c**4 + c**3 + 3*c**5 - 5*c**w - 5*c**2.
3*c**2*(c - 3)*(c + 1)**2
Suppose 16*k - 30 = 3*j, -4*k = -4*j - 10 + 22. Factor 63/4*q + 3/4*q**k + 27/2 + 6*q**2.
3*(q + 2)*(q + 3)**2/4
Let r(x) be the third derivative of -x**9/80640 + x**8/2240 + x**7/6720 - x**6/80 + 7*x**5/10 - 76*x**2. Let g(f) be the third derivative of r(f). Factor g(o).
-3*(o - 12)*(o - 1)*(o + 1)/4
Let g(m) = 8*m**3 + 21*m**2 - 19*m + 5. Let u(r) = -4*r**3 - 11*r**2 + 9*r - 3. Suppose -39 = 4*o + 9*o. Let f(s) = o*g(s) - 5*u(s). Factor f(h).
-4*h*(h - 1)*(h + 3)
Let t(u) be the first derivative of -u**4/4 - 2*u**3 - 7*u**2/2 - 6*u - 26. Let z be t(-5). Factor 0*w**3 - w**3 - 14*w**4 + 13*w**z.
-w**3*(w + 1)
Suppose -3*j - 38 = -2*g, 0 = -431*g + 430*g - 3*j + 19. Let -18 - g*d**3 - 19/2*d**2 + 84*d + 9/2*d**4 = 0. What is d?
-2, 2/9, 3
Let j = -70 + 70. Let s be 2/3 + (-6)/(-12)*j. What is w in 2/3*w - s*w**3 + 8/9 - 8/9*w**2 = 0?
-4/3, -1, 1
Let d be (-252)/(-64) + 7/112. Let i(l) be the second derivative of 0 + 1/12*l**2 + 15*l - 1/72*l**d - 1/120*l**5 + 1/36*l**3. Solve i(m) = 0 for m.
-1, 1
Let i(n) = -n**3 + 2. Let h(w) = -6*w - 43. Let o be h(-7). Let g(b) = 18*b**3 - 42*b**2 - 93*b - 78. Let r(x) = o*g(x) - 15*i(x). Factor r(f).
-3*(f - 16)*(f + 1)**2
Let n(m) be the second derivative of -1/10*m**5 + 4/3*m**3 + 1 + 2*m**2 - 12*m + 1/4*m**4 - 1/30*m**6. Factor n(c).
-(c - 2)*(c + 1)**2*(c + 2)
Let 1123*i**2 - 1707*i**2 - 169*i**5 + 90*i + 248*i**4 + 222*i**3 + 193*i**5 = 0. What is i?
-9, -5/2, 0, 1/6, 1
Let d(u) be the third derivative of 75*u + 1/30*u**5 - 1/3*u**3 + 2*u**2 - 19/40*u**6 + 19/8*u**4 + 0. Factor d(n).
-(n - 1)*(n + 1)*(57*n - 2)
Let n(q) be the first derivative of q**4/7 + 508*q**3/21 + 1056*q**2 - 87120*q/7 + 4725. Find d such that n(d) = 0.
-66, 5
Let r(t) be the first derivative of -4/45*t**5 + 136*t**2 - 98 - 1156/9*t + 4*t**4 - 1432/27*t**3. Factor r(i).
-4*(i - 17)**2*(i - 1)**2/9
Find r such that 3/7*r**2 + 24/7 + 3/7*r**3 - 30/7*r = 0.
-4, 1, 2
Let l(p) be the second derivative of 0 + 5/3*p**3 - 1/6*p**4 + 24*p - 6*p**2. Factor l(d).
-2*(d - 3)*(d - 2)
Let z(j) be the second derivative of j**8/336 + j**7/105 - j**6/120 - j**5/30 - 41*j**2/2 - j + 13. Let o(n) be the first derivative of z(n). Factor o(d).
d**2*(d - 1)*(d + 1)*(d + 2)
Let g be (-107250)/(-96525)*(28/5 - 2). Let b = -7520/19 + 396. Factor 0*v + 0 + 10/19*v**g + b*v**3 + 0*v**2.
2*v**3*(5*v + 2)/19
Let l be ((-22 + 10)/12)/(1/(-144)). Let k = l - 141. Factor -6/5*a - k*a**2 + 0 + 21/5*a**3.
3*a*(a - 1)*(7*a + 2)/5
Let c(l) be the third derivative of l**6/40 - 8*l**5/5 + 45*l**4/8 + 225*l**3 + 3*l**2 + 43*l. Suppose c(h) = 0. Calculate h.
-3, 5, 30
Let t(b) be the third derivative of 1/9*b**4 + 13 - 1/20*b**5 - b**2 + 1/360*b**6 + 0*b + 0*b**3. Factor t(a).
a*(a - 8)*(a - 1)/3
Let f(r) be the second derivative of -r**5/80 - 59*r**4/48 - 35*r**3 + 225*r**2/2 - 6*r + 16. Find g, given that f(g) = 0.
-30, 1
Let a(t) be the first derivative of 0*t**2 + 1/3*t**6 + 76 - 4/5*t**5 + 1/2*t**4 + 0*t**3 + 0*t. Factor a(w).
2*w**3*(w - 1)**2
Let c = -8495 + 8500. Suppose 0 = u + u - 20. Determine v, given that -7*v**5 - 12*v**5 + 22*v**c - 8*v**5 + 2 + u*v**2 - 4*v**3 + 9*v - 12*v**4 = 0.
-1, -2/5, 1
What is i in 2609 - 2669 - 15*i + 16*i + 5*i**3 + 35*i**2 + 19*i = 0?
-6, -2, 1
Let o(k) be the third derivative of -242/3*k**4 + 0*k**3 - 88/3*k**5 - 2/105*k**7 + 0*k + 149*k**2 + 43/30*k**6 + 0. Let o(l) = 0. Calculate l.
-1, 0, 22
Let k = -2/831 - -1672/4155. Let b be ((-4)/10)/(2/(-14)). Suppose -2/5*r**3 + k + 7/5*r - r**5 + b*r**4 - 16/5*r**2 = 0. What is r?
-1, -1/5, 1, 2
Let v(g) be the second derivative of -g**4/60 + 29*g**3/15 - 396*g**2/5 - 6251*g. Solve v(t) = 0 for t.
22, 36
Determine h, given that -3*h**3 - h**3 + 48*h**2 - 106588*h + 0*h**3 + 106460*h = 0.
0, 4, 8
Let q(d) = 15*d**2 + 160*d. Let c(g) = -7*g**2 - 79*g. Let o(j) = 5*c(j) + 2*q(j). Factor o(i).
-5*i*(i + 15)
Let a be (-4728)/(-11032) + (-5)/28. Find q, given that 1/2*q + 1/4*q**2 + 0 - a*q**3 = 0.
-1, 0, 2
Let 722*p + 3 + 16*p**3 - 171378*p**2 - 90*p**3 + 170732*p**2 - 3 - 2*p**4 = 0. What is p?
-19, 0, 1
Let x(f) = f**3 + 5*f**2 - 13*f - 8. Let r be x(-6). Suppose 4*k = -5*l + 44, -4*l = 2*k + k - r. Factor 4*u**3 - k + 4*u - 20*u - 4*u**2 + 22.
4*(u - 2)*(u - 1)*(u + 2)
Let g(y) be the second derivative of -4 + 128/15*y**3 - 4096/5*y**2 - 42*y - 1/30*y**4. Factor g(c).
-2*(c - 64)**2/5
Let o(w) = -41*w**4 - 2*w**3 + 41*w**2 - 180*w - 7. Let s(t) = 42*t**4 + 3*t**3 - 42*t**2 + 153*t + 6. Let d(m) = 6*o(m) + 7*s(m). Factor d(n).
3*n*(n - 1)*(n + 1)*(16*n + 3)
Let s(n) be the first derivative of 23 - 1/36*n**6 + 0*n**2 - 4/9*n**3 + 0*n - 1/5*n**5 - 1/2*n**4. Factor s(u).
-u**2*(u + 2)**3/6
Factor 76/9*n - 722/9 - 2/9*n**2.
-2*(n - 19)**2/9
Let a = -9/41 - -68/123. Let n(k) be the first derivative of 0*k**3 + 0*k**2 - 2/15*k**5 - 7 - a*k**4 + 0*k. Factor n(f).
-2*f**3*(f + 2)/3
Let n = 21 - 18. Suppose -3*a + n + 0 = -3*s, 0 = -4*a - 2*s + 10. Factor -2 - a + 13*z**2 - z - 13*z + 5*z**2.
2*(z - 1)*(9*z + 2)
Let k(h) be the second derivative of h**4/24 - 1055*h**3/12 + 527*h**2/2 - 4524*h. What is n in k(n) = 0?
1, 1054
Let k(s) be the third derivative of s**5/630 + 17*s**4/252 - 2*s**3/7 - 1299*s**2. Factor k(z).
2*(z - 1)*(z + 18)/21
Let a(n) = 164*n**3 + 389*n**2 - 4*n.