 the third derivative of 1/20*d**4 + 2/15*d**3 - 1/300*d**6 + 0*d + 0*d**5 + 0 + 30*d**2. Factor o(k).
-2*(k - 2)*(k + 1)**2/5
Factor -2/3*b**3 - 4/3 - b**2 + 1/3*b**4 + 8/3*b.
(b - 2)*(b - 1)**2*(b + 2)/3
Let c(b) be the third derivative of -b**5/20 + 15*b**4/8 + 8*b**3 - 13*b**2. Factor c(x).
-3*(x - 16)*(x + 1)
Suppose -4*s = s + 6*s. Let w(j) be the second derivative of s + 9/8*j**2 + 3*j - 1/16*j**4 + 1/4*j**3. Factor w(n).
-3*(n - 3)*(n + 1)/4
Let u(n) be the first derivative of n**3 - 6*n**2 + 9*n + 504. Factor u(a).
3*(a - 3)*(a - 1)
Let n = -8 + 13. Suppose 6*q = n*q + 34. What is l in 10*l**3 + 3 - l**4 - 7*l**4 - l**4 - q*l**3 - 18*l**2 = 0?
-1, 1/3
Let o(q) = -20*q**4 + 56*q**3 - 44*q**2 + 12*q. Let t(j) = -j**5 - 19*j**4 + 57*j**3 - 43*j**2 + 11*j. Let u(s) = -5*o(s) + 4*t(s). Solve u(m) = 0 for m.
0, 1, 2
Let d(m) be the third derivative of -m**5/480 - 31*m**4/96 - 961*m**3/48 + 324*m**2. Factor d(g).
-(g + 31)**2/8
Let v(r) be the third derivative of r**7/84 - r**6/120 - 7*r**5/30 - 5*r**4/8 - 3*r**3/4 - r**2 - 58. Factor v(a).
(a - 3)*(a + 1)**2*(5*a + 3)/2
Let r(t) = 19*t**2 + 14*t - 1. Let k be r(-1). Solve -20/7*v**3 - 12/7*v - 12/7*v**k + 44/7*v**2 + 0 = 0 for v.
-3, 0, 1/3, 1
Let s be (-470)/1645 + 1/1. Factor -1/7*d**3 - 4/7*d**2 - s*d - 2/7.
-(d + 1)**2*(d + 2)/7
Let c(l) be the second derivative of l**7/1260 + l**6/540 - l**5/30 + 5*l**3/3 + 20*l. Let s(f) be the second derivative of c(f). Find r such that s(r) = 0.
-3, 0, 2
Let v(i) = 3*i**2 + 94*i + 36. Let g(s) = 3*s**2 + 92*s + 37. Let r(c) = -3*g(c) + 4*v(c). Factor r(n).
(n + 33)*(3*n + 1)
Let k(p) be the first derivative of p**7/70 - 3*p**6/40 + p**4/2 + 33*p**2/2 + 37. Let n(v) be the second derivative of k(v). Determine l, given that n(l) = 0.
-1, 0, 2
Let g(l) be the second derivative of 5*l**4/48 - 5*l**3/6 + 5*l**2/2 - l + 1. Suppose g(b) = 0. What is b?
2
Let u(d) = -d**2 - 16*d - 55. Let c be u(-3). Let h be -2*(-2)/c - 204/(-432). Solve 2/9*n - 8/9*n**5 - 2*n**3 + 0 - h*n**2 - 22/9*n**4 = 0.
-1, 0, 1/4
Solve -5*v**3 - 17056*v + 102*v**2 + v**3 + 342*v**2 + 71598 + 131014 + 628*v = 0 for v.
37
Let h(b) be the first derivative of -1/30*b**4 + 1/5*b**3 - 4 - b - 2/5*b**2. Let a(d) be the first derivative of h(d). Factor a(w).
-2*(w - 2)*(w - 1)/5
Let i(p) be the third derivative of -2/15*p**5 + 13*p**2 + 0 - 3/10*p**6 + 3/2*p**4 + 0*p + 4/3*p**3. Factor i(z).
-4*(z - 1)*(z + 1)*(9*z + 2)
Let s(n) be the second derivative of 0*n**2 - 9*n - 7/170*n**5 - 4/255*n**6 + 4/357*n**7 + 0 - 1/51*n**4 + 0*n**3. Let s(a) = 0. Calculate a.
-1/2, 0, 2
Let d(m) = -m**3 - 17*m**2 - 9*m - 21. Let f be d(-16). Let s be 8/(-14) + f/(-147). Factor -s*g**3 + 0 + 1/3*g**4 + 0*g + 0*g**2.
g**3*(g - 1)/3
Let c be 30/(-35) - (-8667)/2835. Suppose -1/5*o**2 - c*o - 2 = 0. What is o?
-10, -1
Suppose 3*v = 3*l - 1626, 0 = -13*l + 11*l - 5*v + 1112. Let h be (3/28)/(52/l). Factor -h*f**3 + 9/8*f + 1/4*f**2 - 1/4.
-(f - 1)*(f + 1)*(9*f - 2)/8
Suppose -2*h + 4 = -2*f, -5*h + 13 + 6 = -2*f. Suppose -c = 4*v - f, -2*v = -6*v. Let 3/2*u**5 - 3/2*u**4 + 0*u - 3/2*u**c + 0 + 3/2*u**2 = 0. Calculate u.
-1, 0, 1
Let k = -1928 + 1941. Factor 35/3*r**3 + 4/3 + 0*r - k*r**2.
(r - 1)*(5*r - 2)*(7*r + 2)/3
Suppose -2*l - 6 = -156*s + 158*s, -3 = -2*s + l. Factor 0*z**4 + 1/4*z + s*z**2 + 1/4*z**5 - 1/2*z**3 + 0.
z*(z - 1)**2*(z + 1)**2/4
Let l(p) = -2*p**2 - 9*p + 1. Let z be l(-4). Suppose z*x + 4*y + 1 = 0, 2*x - 3*y = -2*x + 24. Suppose -3*i**x + 6*i**3 - 4*i**3 - i**2 = 0. Calculate i.
-1, 0
Factor -591*p**3 - 867/2 - 3/2*p**5 - 1455*p**2 - 111/2*p**4 - 2703/2*p.
-3*(p + 1)**3*(p + 17)**2/2
Let l be (1 - 2*-1)/(158/79). What is p in 0 - 1/2*p**4 + 0*p**3 + l*p**2 + p = 0?
-1, 0, 2
Factor -257 + 75*k - 418 + 15*k - 3*k**2.
-3*(k - 15)**2
Suppose -6 = b - 10. Let v(l) be the third derivative of -1/40*l**6 - 1/4*l**5 - 3/8*l**b + 0 + 0*l - 5*l**2 + 9/2*l**3. Let v(c) = 0. Calculate c.
-3, 1
Let p(v) be the first derivative of v**4/24 - v**3/3 + v**2 - 7*v - 3. Let l(g) be the first derivative of p(g). Factor l(i).
(i - 2)**2/2
Let x(p) be the first derivative of -5 + 4/5*p**5 + 0*p - p**2 - 7/4*p**6 - 4/3*p**3 + 25/8*p**4. What is w in x(w) = 0?
-1, -2/7, 0, 2/3, 1
Let v be (182/28)/(3/(-22)). Let c = v - -48. Factor c*z**2 - 1/3*z - 2/3.
(z - 2)*(z + 1)/3
Let k(r) = 3*r**2 + 31*r + 38. Let v(q) = -14*q**2 - 131*q - 152. Let c(h) = 9*k(h) + 2*v(h). Factor c(b).
-(b - 19)*(b + 2)
Let y(v) be the second derivative of -v**5/25 + v**4/5 - 4*v**3/15 + v. Factor y(u).
-4*u*(u - 2)*(u - 1)/5
Let w(m) = 13*m + 22. Let z be w(-4). Let a be (1 - z/(-350)) + (-8)/(-10). Factor 3/7*i**2 + 12/7 - a*i.
3*(i - 2)**2/7
Let r(m) be the second derivative of -7/2*m**2 + 0 + 0*m**4 + 10*m - 1/40*m**6 + 1/20*m**5 + 0*m**3. Let v(y) be the first derivative of r(y). Factor v(w).
-3*w**2*(w - 1)
Let m = 152291/3 + -50763. Factor 0 + 2/15*c**2 - m*c.
2*c*(c - 5)/15
Let i = 5 + 0. Suppose -i*z + 95 = -10. Suppose 61*l - 3 + 21*l**3 - z - l + 78*l**2 = 0. What is l?
-2, 2/7
Let a be 5/(4/(16/10)). Let s(k) be the second derivative of 0*k**a - 5*k - 2/9*k**4 - 4/9*k**3 - 1/30*k**5 + 0. Suppose s(b) = 0. What is b?
-2, 0
Let -20*c + 45*c**3 + 40*c**4 - 11*c**5 - 10*c**5 - 3*c**5 - c**5 - 40*c**2 = 0. Calculate c.
-1, -2/5, 0, 1, 2
Let f be ((-2)/(-6))/((-16)/(-384)). Factor -f*l**2 - 7*l**3 + 41*l - 29*l + 3*l**3.
-4*l*(l - 1)*(l + 3)
Let q = 64 - 60. Solve 21*i**3 + 16*i**2 - 26*i**3 + 10 - 25*i + q*i**2 = 0 for i.
1, 2
Let n(v) be the first derivative of -14/9*v - 10/27*v**3 - 18 - 13/9*v**2 + 1/18*v**4. Factor n(z).
2*(z - 7)*(z + 1)**2/9
Let l be (-8)/20*(-250)/30. Suppose -14/3*b + l*b**2 + 4/3 = 0. Calculate b.
2/5, 1
Factor -3/4*r**2 - 51/4*r + 0.
-3*r*(r + 17)/4
Let s be 3*(-8)/(-240)*5. Determine j so that -3*j**3 + 0*j**4 - 3/2*j + 0 + s*j**5 - 4*j**2 = 0.
-1, 0, 3
Let o(c) be the third derivative of 7/12*c**5 + 5/3*c**3 - 15/8*c**4 + 0 - 11*c**2 + 0*c. Suppose o(v) = 0. What is v?
2/7, 1
Let t(g) be the third derivative of g**6/40 + 7*g**5/20 - 21*g**4/8 - 27*g**3/2 + g**2 - 74*g. Factor t(k).
3*(k - 3)*(k + 1)*(k + 9)
Let w(u) be the first derivative of -u**5/40 + u**4/16 + 7*u**3/24 + u**2/4 + 112. Factor w(m).
-m*(m - 4)*(m + 1)**2/8
Factor 548*g - 3*g**2 + 5*g**2 + 3*g**5 - 542*g + g**2 - 3*g**4 - 9*g**3.
3*g*(g - 2)*(g - 1)*(g + 1)**2
Let f be 198/1134 + 3/27. Factor -2/7*t**2 + f + 0*t.
-2*(t - 1)*(t + 1)/7
Let p(x) = -13*x**4 + 26*x**3 + 24*x**2 - 9*x - 9. Let r(f) = f**4 - f**3 - f**2 + f + 1. Let u(c) = -2*p(c) - 18*r(c). Suppose u(y) = 0. What is y?
-3/4, 0, 5
Let d(j) be the third derivative of j**8/2240 + j**4/6 - 9*j**2. Let x(a) be the second derivative of d(a). Factor x(o).
3*o**3
Let u be (-442)/(-2028) + (-8)/156. Let j = 7 - 3. Suppose -1/6*a**2 + 0 + 1/3*a - 1/2*a**3 + 1/6*a**5 + u*a**j = 0. What is a?
-2, -1, 0, 1
Suppose -i - 25 = 4*i. Let l be 2/4 - i/(-10). Factor -2 + 4 + u**2 - 3 + l.
(u - 1)*(u + 1)
Let f be 4935/225 - 2/(-9)*(-93)/62. Let 32/5*l - 112/5*l**2 + 0 - 168/5*l**3 + f*l**4 = 0. What is l?
-2/3, 0, 2/9, 2
Let t be (-9)/((-27)/(-6))*20. Let s(k) = 9*k**2 - k + 8. Let n(o) = -o**2 - 1. Let x(v) = t*n(v) - 5*s(v). Factor x(j).
-5*j*(j - 1)
Let k be 4 + -6 + 725/360. Let n(q) be the third derivative of 0*q**3 + 0*q + 1/72*q**6 - 1/45*q**5 - 7*q**2 + 0 - k*q**4. Determine x, given that n(x) = 0.
-1/5, 0, 1
Let m = -2/377 + 9062/2639. Find h such that 4/7*h + m*h**3 + 4/7*h**5 - 16/7*h**4 - 16/7*h**2 + 0 = 0.
0, 1
Let y(z) be the third derivative of -1/4*z**4 + 1/40*z**6 + 0*z**3 - 1/20*z**5 + 0*z + 19*z**2 + 0. Find g such that y(g) = 0.
-1, 0, 2
Let a(p) be the first derivative of -25*p**4/72 + 5*p**3/9 - p**2/3 - 13*p - 20. Let w(q) be the first derivative of a(q). Solve w(i) = 0.
2/5
Let t(o) be the third derivative of o**6/60 - 2*o**5/3 - 7*o**4/4 + 169*o**2. Solve t(h) = 0 for h.
-1, 0, 21
Suppose -5*a = -6*a - 5*s - 9, 3*a - 68 = 4*s. Let r = -2 - -5. Find g such that g + 15*g**r + 0*g - a*g**3 = 0.
-1, 0, 1
Suppose -10*o = -6*o + 12. Let x be (6/(-20))/(o/(-8)*-2). Let 0 + 1/5*i**2 + x*i = 0. What is i?
-2, 0
Let d = -16 + 20. What is z in 6*z**2 - 2*z**4 - 5*z**3 - 4*z**4 - 2*z**5 + 4*z**3 + d*z - z**3 = 0?
-2, -1, 0, 1
Let g be (-2)/8 + 195/60. Find p, given that -4*p**3 