ative of 10/3*a**3 - 4*a + 0 - a**2 + 5/8*a**4 - 1/12*a**5. Factor h(z).
-5*(z - 4)*(z + 1)
Let o be (-8 + 4)*(-5)/(-4)*1. Let i be 7/o - 2 - -4. Determine t so that -2/5*t + 0 + 3/5*t**2 - i*t**4 + 2/5*t**3 = 0.
-1, 0, 2/3, 1
Let z = 47 + -45. Let x(v) = v**2 + v + 23. Let k be x(0). Let k*p**2 + 0*p - z*p - 22*p**2 + 1 = 0. What is p?
1
Factor -13675*g**2 - 68*g**4 + 1/2*g**5 - 691250*g + 5449/2*g**3 - 3062500.
(g - 50)**3*(g + 7)**2/2
Factor -17963935 - 6*a**2 + 20688*a + 2*a**2 - 13826498 + 4059677 + 376*a.
-4*(a - 2633)**2
Let c(d) be the second derivative of d**4/90 + 8404*d**3/45 + 17656804*d**2/15 + 11*d - 158. Let c(k) = 0. What is k?
-4202
Factor -25/6*x - 3/2*x**2 + 1/6*x**3 + 11/2.
(x - 11)*(x - 1)*(x + 3)/6
Find r, given that -19*r - 1/3*r**5 + 6*r**3 + 4/3*r**2 + 12 + 0*r**4 = 0.
-3, 1, 4
Factor 0 + 1746*r + 3/5*r**2.
3*r*(r + 2910)/5
Suppose 6244 = 24*x - 1820. Let d = 336 - x. Let 3/7*p + d + 0*p**2 - 3/7*p**3 = 0. What is p?
-1, 0, 1
Suppose 4*b = -4*o - 76, 2*b + 3*o + 34 = -o. Let r be (-1 + 5/3)*(-18 - b). Let -45*m**r + 21*m**3 - m**4 + 31*m + 7*m - 2*m**4 - 11*m = 0. Calculate m.
0, 1, 3
Let h(r) be the third derivative of 5/2*r**4 - 3/4*r**5 + 10/3*r**3 - r**2 + 0 + 0*r - 7/24*r**6. Suppose h(s) = 0. Calculate s.
-2, -2/7, 1
Let f = -296 - -299. Suppose 2*z = -w + 6*z, 3*w + 3*z = 15. Let 6/13*h - 2*h**2 - 6/13*h**w + 2*h**f + 0 = 0. Calculate h.
0, 1/3, 1, 3
Suppose 2*s + 12 = 2*h, -3*h - 10 = -5*h. Let g(w) = w**3 + 1. Let p(v) = -3*v**3 - 12*v**2 - 3*v + 6. Let f(m) = s*p(m) - 6*g(m). Factor f(n).
-3*(n - 4)*(n - 1)*(n + 1)
Let j be 0/(-1*((-1)/(-6) + (-266)/84)). Let z be 5/(-40)*-4*6. Determine d so that -6*d**5 + z*d + 27/2*d**4 + j - 27/2*d**2 + 3*d**3 = 0.
-1, 0, 1/4, 1, 2
Suppose -d + 3 = -1. Let m = 105407/3 - 35133. Factor 0 - 20/3*o**3 - 16/3*o**d - m*o**2 - 1/3*o.
-o*(2*o + 1)**2*(4*o + 1)/3
Let v(u) = -u**4 - u**2 - 6*u + 1. Let a(k) = 16*k**4 - 832*k**3 + 14124*k**2 - 82872*k + 164148. Let b(i) = -a(i) - 12*v(i). Let b(n) = 0. What is n?
6, 190
Determine x so that 87/7*x**3 + 368/7 - 1/7*x**4 + 732/7*x + 452/7*x**2 = 0.
-2, -1, 92
Factor -48*y - 2*y**2 - 118 + 17*y - 27*y - 330 + 68.
-2*(y + 10)*(y + 19)
Let t(w) be the third derivative of -w**6/720 - 619*w**5/40 - 1149483*w**4/16 - 711529977*w**3/4 + 962*w**2. Factor t(q).
-(q + 1857)**3/6
Factor 1/6*k**4 - k**3 + 343/6 + 49*k - 28/3*k**2.
(k - 7)**2*(k + 1)*(k + 7)/6
Suppose -1/8*k**3 + 0 - 39/8*k - 5*k**2 = 0. Calculate k.
-39, -1, 0
Suppose -25*o + 14*o + 44 = 0. Factor 1287*d**2 + 3876*d + 114*d**3 - 674 + 0*d**o + 3*d**4 + 4142.
3*(d + 2)**2*(d + 17)**2
Let t(m) be the first derivative of 5*m**7/168 + 19*m**6/60 + 4*m**5/5 - 2*m**4/3 + 6*m - 57. Let r(l) be the first derivative of t(l). Factor r(z).
z**2*(z + 4)**2*(5*z - 2)/4
Let v(l) = -l**3 - 5*l**2 + 52*l + 22. Let c be v(-10). Factor 3*o**2 - 24*o + o**c - 48 - 2*o + 42*o.
4*(o - 2)*(o + 6)
Let w = 92 + -68. Let l(g) = -g**2 + 25*g - 22. Let c be l(w). Suppose 5*p - 12*p**c - 5*p**4 + 25*p**3 - 9*p - 4*p**4 = 0. Calculate p.
-2/9, 0, 1, 2
Suppose -4*t = -2431 + 467. Let w = -58 + 63. Suppose 491 - 2*k**3 + w*k - 3*k**3 - t = 0. What is k?
-1, 0, 1
Let l(y) = y**2 + 11*y + 21. Let c be l(-9). Factor -w**2 + 37*w + 37*w + 0 - 36 - c*w**2.
-2*(w - 18)*(2*w - 1)
Let q(t) be the first derivative of 1/10*t**4 + 0*t**2 + 2/5*t**3 + 0*t + 19. Determine x so that q(x) = 0.
-3, 0
Let w(y) = 350*y - 35347. Let r be w(101). Factor 1/3*j + 2/3 - 2/3*j**2 - 1/3*j**r.
-(j - 1)*(j + 1)*(j + 2)/3
Let q = 80516/3 + -26516. Let h(b) be the second derivative of -1/15*b**6 + q*b**3 + 1331*b**2 + 25*b + 0 + 16/5*b**5 - 55*b**4. Find a such that h(a) = 0.
-1, 11
Let n(d) be the first derivative of 2/3*d**2 + 1/6*d**3 + 2/3*d - 1/12*d**4 + 54 - 1/30*d**5. Factor n(y).
-(y - 2)*(y + 1)**2*(y + 2)/6
Let x(v) = v**3 + 61*v**2 - 44*v - 268. Let l(o) = o**3 + 62*o**2 - 39*o - 269. Let t(i) = 8*l(i) - 7*x(i). Solve t(k) = 0 for k.
-69, -2, 2
Let g = -1250553 + 1250555. Factor 3/5*y**g + 9/5*y - 6.
3*(y - 2)*(y + 5)/5
Factor -4/3*p**2 - 496*p + 0.
-4*p*(p + 372)/3
Let d be ((-2)/(-2))/(63/252). Suppose 16*b - 36 + d = 0. Let 1/3*f**3 - 1/3*f + 1/3*f**b - 1/3 = 0. Calculate f.
-1, 1
Factor 76 - 76 + 105*a - 260*a**2 + 210*a**3 + 14882*a**5 - 60*a**4 - 14877*a**5.
5*a*(a - 7)*(a - 3)*(a - 1)**2
Let z(x) be the third derivative of x**7/1575 + x**6/150 - 7*x**5/450 + 246*x**2. Find m, given that z(m) = 0.
-7, 0, 1
Let z be 104/(-18) + (8 - ((-91)/(-7) + -11)). Factor 10/9 + z*n**2 - 4/3*n.
2*(n - 5)*(n - 1)/9
Let l be (-328)/1066 - (-1760)/(-26). Let f be (l + 65)/((-66)/4). Factor 2/11 - 2/11*h**3 + f*h - 2/11*h**2.
-2*(h - 1)*(h + 1)**2/11
Suppose -8*s + 248 = -56. Suppose -106 = -s*d - 30. Factor -1/7*c**d + 2/7 + 1/7*c.
-(c - 2)*(c + 1)/7
Let z(a) be the first derivative of -2*a - 1/2*a**2 + 15*a**3 + 48. Let z(g) = 0. What is g?
-1/5, 2/9
Let d = -337026 + 337026. Let d*t + 0 + 1/2*t**4 - 1/4*t**5 + 1/4*t**3 - 1/2*t**2 = 0. Calculate t.
-1, 0, 1, 2
Let l = -55 + 115. Let i be 8/6*(-945)/(-420). Let -10*y - i - 5*y**4 - l*y**2 + 75*y**2 + 3 = 0. What is y?
-2, 0, 1
Let j = -117 + 33. Let k be ((-24)/j)/((180/(-56))/(-5)). Factor -k + 2/9*x**2 + 2/9*x.
2*(x - 1)*(x + 2)/9
Factor 139 + 102*n + 41*n + 101 + 2*n**2 - 19*n.
2*(n + 2)*(n + 60)
Let d(i) be the first derivative of -i**4/4 - 2*i**3/3 + i - 41. Let r be d(-1). Factor -3/2*w + 3/2*w**5 - 3*w**4 + r + 3*w**2 + 0*w**3.
3*w*(w - 1)**3*(w + 1)/2
Let f be (-217899)/(-5467) + (-3 + 4)/(2/(-18)). Factor -140*d**3 - 1404/7*d + 396*d**2 + f - 196*d**4.
-4*(d + 2)*(7*d - 3)**3/7
Suppose -5*k = 4*f - k - 12, 1 = -k. Let d(r) = -8*r**3 - 42*r**2 - r + 33. Let h(w) = 4*w**3 + 20*w**2 - 16. Let s(u) = f*d(u) + 9*h(u). What is q in s(q) = 0?
-3, -1, 1
Let y(w) = -w**3 + 20*w**2 + 19*w + 55. Let i be y(21). Let -9 + 617*z**2 + 96*z + i + 529*z**3 + 4*z**2 = 0. What is z?
-1, -2/23
Let p(m) = -6*m - 63. Let y be p(-14). Let f be (y/(-5) + 2/10)/(-1). Factor -2/7*w**2 - 2/7*w**f + 4/7*w**3 + 0 + 0*w.
-2*w**2*(w - 1)**2/7
Let n(y) = -y**3 + 33*y**2 - 318*y + 18. Let s(l) = -2*l**3 + 67*l**2 - 638*l + 30. Let o(k) = -5*n(k) + 3*s(k). Let o(i) = 0. What is i?
0, 18
Let i(v) = -v**3 - 3*v**2 + 5*v. Let c be i(-4). Let z(j) = -6*j**2 + 4*j + 2. Let u(k) = -2*k**2. Let l(m) = c*u(m) + z(m). Factor l(t).
2*(t + 1)**2
Let r(k) = k**4 - k**2 + k - 2. Let g(s) = 5*s**4 + 12*s**3 - 78*s**2 - 656*s + 3017. Let z(x) = g(x) - 4*r(x). Factor z(c).
(c - 5)**2*(c + 11)**2
Suppose 3*v + 3*f = 915, -2*f = -4*v + f + 1192. Let y = v - 291. Factor 20*g + 25/2*g**2 + y + 5/2*g**3.
5*(g + 1)*(g + 2)**2/2
Let i(g) = -3*g**2 - 22 + 5*g - 2*g + g**3 + 22. Let m be i(2). Factor -11*b + 2*b**m + 23*b + 3*b**3 + b**4 - 12*b.
b**2*(b + 1)*(b + 2)
Let m(y) = 25*y + y + 4 - 18 + 12. Let o be m(1). Factor o + 3*r - 24 + 17*r**3 - 12*r**3 + r**4 + 7*r**2.
r*(r + 1)**2*(r + 3)
Let n(p) = 6*p**2 + 12*p - 66. Let g(i) = -14*i**2 - 23*i + 157. Let d(c) = 2*g(c) + 5*n(c). Factor d(o).
2*(o - 1)*(o + 8)
Let w(x) be the first derivative of -37 - 1/7*x**3 - 17328/7*x + 228/7*x**2. Factor w(m).
-3*(m - 76)**2/7
Let r(o) be the third derivative of -1/1365*o**7 + 8*o - 11/39*o**3 + 7/390*o**6 - 6/65*o**5 + 17/78*o**4 + 0 - 2*o**2. Solve r(q) = 0.
1, 11
Factor -44/5*d + 2/5*d**2 + 34.
2*(d - 17)*(d - 5)/5
Suppose -270 + 10*f**3 + 243*f - 131401*f**2 - 7*f**3 + 131341*f**2 = 0. Calculate f.
2, 3, 15
Let r(m) be the first derivative of -20*m - 32/3*m**2 - 4/9*m**3 - 20. Let r(c) = 0. Calculate c.
-15, -1
Let v(t) = t**2 + t - 1. Let h(s) = 91*s + 5 - 4*s**2 - 109*s + 2 + 12. Let n(k) = -5*h(k) - 15*v(k). Factor n(u).
5*(u - 1)*(u + 16)
Let y be 6 + 0/(7 - 4). Let f be (-3)/y*-73 + (-2)/4. Determine z so that -10*z**2 - 36*z**3 - 14*z - f*z**3 + 70*z**3 - 6 + 0*z = 0.
-3, -1
Let u = -726185 + 726187. Factor -68/5*k + 45*k**u + 4/5.
(9*k - 2)*(25*k - 2)/5
Let l(f) be the first derivative of f**4/14 + 262*f**3/7 + 51483*f**2/7 + 4496182*f/7 - 1310. Factor l(w).
2*(w + 131)**3/7
Suppose 3*a = -611*w + 612*w - 23, w - 2*a = 17. Find h, given that 5/6*h - 1/3 - 2/3*h**3 - 1/3*h**2 - 1/6*h**w + 2/3*h**4 = 0.
-1, 1, 2
Let h = 77620 + -232846/3. Find l such that -4/3*l**3 + 0 + 14/3*l**2 - h*l**4 + 4/3*l = 0.
-1, -2/7, 0, 1
Let p(j) be th