225. Let i(s) be the second derivative of 0 + 8/15*s**2 + 12*s + 7/150*s**5 + 4/9*s**3 + 1/5*s**4 + r*s**6. Factor i(q).
2*(q + 1)*(q + 2)**3/15
Let h = -6785 + 26967/4. Let k = -43 - h. Factor k*q**3 + 1/2 + q**2 + 5/4*q.
(q + 1)**2*(q + 2)/4
Let l = 3055 + -3052. Factor 0 - 2/11*q**2 + 0*q - 2/11*q**l.
-2*q**2*(q + 1)/11
Factor 13/8*c + 63/8*c**2 + 47/8*c**3 - 5/4 + 7/8*c**4.
(c + 1)**2*(c + 5)*(7*c - 2)/8
Let -6 + z**2 - 2 + z**2 - 4 - 10*z = 0. What is z?
-1, 6
Let a = -7 - -1. Let o be (-9 + a)*8/(-10). Factor -3*r**3 - 42*r**2 - 5*r - o*r**3 + 22*r**2.
-5*r*(r + 1)*(3*r + 1)
Let c = 2/325 + 971/650. Let d(q) be the first derivative of -1/3*q**3 + c*q**2 + 0*q + 4. Let d(h) = 0. Calculate h.
0, 3
Let w = 832 - 822. Let u(s) be the first derivative of 40/3*s**3 - 25/4*s**4 + 7 - w*s**2 + 0*s + s**5. Solve u(p) = 0 for p.
0, 1, 2
Let v(t) = -4*t**3 - 18*t**2 - 30*t + 2. Suppose -6*g - 12 - 6 = 0. Let j(z) = 5*z**3 + 19*z**2 + 29*z - 3. Let x(a) = g*v(a) - 2*j(a). Factor x(p).
2*p*(p + 4)**2
Let g(l) be the second derivative of l**4/6 + l**3 - 4*l**2 - 302*l. Let g(p) = 0. What is p?
-4, 1
Let d be (-4)/((-16)/6)*2. Solve 12*h**2 + d*h**4 + 9 + 15*h**3 - 9 = 0 for h.
-4, -1, 0
Let l(u) be the second derivative of -11*u - 3/20*u**5 - 1/10*u**6 + 1/2*u**4 + 0*u**2 + 0 + 0*u**3. Factor l(c).
-3*c**2*(c - 1)*(c + 2)
Let k = -356 + 356. Let a(t) be the first derivative of -3/4*t**4 + 0*t + 0*t**3 + k*t**2 - 1/2*t**6 - 4 + 6/5*t**5. Factor a(y).
-3*y**3*(y - 1)**2
Let i = -49/6 + 17/2. Let v(m) = -m**3 + m**2 + m + 2. Let h be v(0). Factor j**h - 2/3*j - i.
(j - 1)*(3*j + 1)/3
Suppose j - 4*l - 6 = 0, 0 = 3*j - j + l + 6. Let f be (-3 + 3)/j + 3. Solve -9*k**2 + 0*k**3 + 4*k**3 - 3*k**f + 8*k**2 - k + k**4 = 0.
-1, 0, 1
Let v = -38 + 42. Solve -6*a + 22*a - 6*a - v*a**3 - 6*a = 0.
-1, 0, 1
Suppose 2*u = -3*q - q + 66, -3*q - 2*u + 47 = 0. Suppose -5*i + 3*p + q = 0, p + 9 = -2*p. Factor 3*c**5 - i*c**5 + c**4 - c**2 + 0*c**5 - c**3.
c**2*(c - 1)*(c + 1)**2
Let q = 92 - 88. Factor 5*o**3 + 0*o**3 + 5*o**3 + 2*o**q + 3*o**4.
5*o**3*(o + 2)
Let a(k) = -3*k - 13. Let v be a(-6). Let l = 95 - 87. Let -14*r**4 - 4*r + 8*r**2 + 8*r**v + l*r**2 - 4*r**3 + 5 - 7 = 0. Calculate r.
-1, -1/4, 1
Let p = 115 + -210. Let z = p + 383/4. Find r such that -z*r + 1/2 + 1/4*r**2 = 0.
1, 2
Let b = -178/7 - -179/7. Let y(a) be the second derivative of 3/70*a**5 + 5*a + 1/42*a**4 - b*a**3 - 1/7*a**2 + 0. Factor y(h).
2*(h - 1)*(h + 1)*(3*h + 1)/7
Let u(h) = -244*h**3 + 108*h**2 - 11*h. Let r(p) = -p**3 + p. Suppose 0 = -5*z - 3*s - 2*s - 5, 4*z - 5*s - 14 = 0. Let b(a) = z*r(a) - u(a). Factor b(f).
3*f*(9*f - 2)**2
Let y(l) be the second derivative of -1/63*l**7 + 9*l + 0*l**2 - 4/9*l**3 - 13/30*l**5 + 0 + 2/15*l**6 + 2/3*l**4. Let y(f) = 0. Calculate f.
0, 1, 2
Let n(r) be the third derivative of 1/30*r**4 + 0*r**3 - 1/50*r**5 + 1/300*r**6 - r**2 + 0*r + 0. Find s such that n(s) = 0.
0, 1, 2
Let o be ((-50)/(-15))/(2/(-6)). Let m be (-4)/o + 3/5. Factor -3*i + 6*i**3 - 3*i**3 - 3*i**4 + 1 + 3*i**2 - m.
-3*i*(i - 1)**2*(i + 1)
Factor -15*o - 6 - 27/2*o**2 - 3/4*o**4 - 21/4*o**3.
-3*(o + 1)*(o + 2)**3/4
Let x(y) be the third derivative of y**5/50 + 3*y**4/4 - 16*y**3/5 - 4*y**2 + 2. Factor x(w).
6*(w - 1)*(w + 16)/5
Let -731*l - 29 + 40*l**2 - 6 + 681*l = 0. What is l?
-1/2, 7/4
Let f(o) be the second derivative of -o**7/168 + o**6/120 + 3*o**5/40 - 7*o**4/24 + 11*o**3/24 - 3*o**2/8 + 4*o. Factor f(h).
-(h - 1)**4*(h + 3)/4
Let t = 50 + -48. Factor 3*s**2 + t*s**2 + 5 - 10*s - 12 - 8.
5*(s - 3)*(s + 1)
Let o(f) be the second derivative of 0 + 2/11*f**2 + 9*f + 3/22*f**4 + 1/3*f**3. Factor o(q).
2*(q + 1)*(9*q + 2)/11
What is q in 2/3*q - 2/15*q**3 + 2/5 + 2/15*q**2 = 0?
-1, 3
Suppose -2*g - 11 = -3*g - 5*z, 2*g + 3*z - 15 = 0. Suppose 6*r - 4*r - g = 0. Find s, given that -33/4*s**r + 45/4*s**2 - 27/4*s + 9/4*s**4 + 3/2 = 0.
2/3, 1
Factor -1/4*u**2 + 1 + 0*u.
-(u - 2)*(u + 2)/4
Let q(z) be the first derivative of -2*z**7/21 + 2*z**5/5 - 2*z**3/3 + 9*z - 10. Let h(w) be the first derivative of q(w). Factor h(x).
-4*x*(x - 1)**2*(x + 1)**2
Let m(c) = 5*c**2 + 5*c + 5. Let x(f) = -5*f**2 - 4*f - 6. Let r be (-154)/(-30) - (-48)/(-360). Let g(p) = r*x(p) + 6*m(p). Factor g(n).
5*n*(n + 2)
Let v(z) be the first derivative of -z**4 + 4*z**3/9 + 8*z**2/3 + 60. Factor v(j).
-4*j*(j + 1)*(3*j - 4)/3
Let j(q) be the second derivative of 0 + 2/5*q**2 + 1/9*q**3 + 16*q - 1/45*q**4 - 1/150*q**5. Factor j(y).
-2*(y - 2)*(y + 1)*(y + 3)/15
Let t = 229 - 229. Let l(i) be the first derivative of t*i - 3/2*i**2 - 7/2*i**3 - 3. Determine a so that l(a) = 0.
-2/7, 0
Let b(h) be the second derivative of 0*h**2 - 34*h + 0 + 0*h**4 - 1/75*h**6 + 1/50*h**5 + 0*h**3. Factor b(z).
-2*z**3*(z - 1)/5
Let x = 5/18 - -83/90. Let r be 50/(-75)*18/(-10). Factor x*d**2 + 2/5*d**3 + 2/5 + r*d.
2*(d + 1)**3/5
Find g, given that 5*g**3 - 1809*g**2 - 18369371 + 365040*g - 129*g**2 + 343*g**2 - 745*g**2 - 612709 = 0.
156
Factor 2/25*w**3 + 0 + 8/5*w**2 + 8*w.
2*w*(w + 10)**2/25
Let p(m) = -185*m**2 + 8*m + 16. Let h(r) = -369*r**2 + 15*r + 33. Suppose 54 = -14*c + 8*c. Let f(o) = c*p(o) + 4*h(o). Factor f(y).
3*(7*y - 2)*(9*y + 2)
Let i = -2731/35 + 549/7. Determine b, given that 8/5*b**2 - 124/5*b**3 - i*b**4 + 6*b**5 + 0 + 16/5*b = 0.
-2, -1/3, 0, 2/5, 2
Let o(b) be the third derivative of b**6/10 - 2*b**5/3 + 3*b**4/2 - 4*b**3/3 + b**2 - 18. Solve o(y) = 0.
1/3, 1, 2
What is x in 0 - 3/7*x**2 - 2/7*x - 3/7*x**4 + 8/7*x**3 = 0?
-1/3, 0, 1, 2
Let a(i) be the first derivative of 5/4*i**4 + 20*i**2 + 20*i + 25/3*i**3 - 5. Determine b so that a(b) = 0.
-2, -1
Determine p so that 2496*p**2 + 2202*p**2 + 4171*p - 2050 + 2862*p**3 + 75*p**5 - 1012*p + 2779 + 765*p**4 = 0.
-3, -3/5
Let a(s) be the third derivative of s**5/20 + s**4/8 - 43*s**2. Let d(l) = l. Let m(c) = -a(c) + 6*d(c). Factor m(w).
-3*w*(w - 1)
Let 3*v**4 + 432*v + 6*v**3 + 22 - 3*v**2 - 438*v - 22 = 0. Calculate v.
-2, -1, 0, 1
Let r(g) = g**4. Let n(q) be the first derivative of -42*q**5/5 + 33*q**4/4 + 2*q**3 - 25. Let c(y) = n(y) + 3*r(y). Factor c(m).
-3*m**2*(m - 1)*(13*m + 2)
Let q(w) be the second derivative of 3*w**5/40 + w**4 - 31*w**3/4 + 33*w**2/2 + 96*w. Let q(i) = 0. Calculate i.
-11, 1, 2
Suppose z - p = 5, z = 4*z + 5*p - 15. Let v(r) be the third derivative of 1/6*r**4 + 0*r**3 + 1/15*r**z + 2*r**2 + 0*r + 0. Suppose v(b) = 0. What is b?
-1, 0
Let f be (56/175)/((-364)/(-70) + -4). Let 32/15*v**4 + 26/15*v + 2/5*v**5 + 4*v**2 + f + 64/15*v**3 = 0. What is v?
-2, -1, -1/3
Let p be ((-27)/(-6))/3*(-16)/12. Let n be 12/(-45)*(1/p + -2). Suppose n + 2/3*u - 2/3*u**3 - 2/3*u**2 = 0. What is u?
-1, 1
Let v(g) be the second derivative of -g**6/1440 + g**5/160 - g**4/48 - 2*g**3/3 - 3*g. Let y(f) be the second derivative of v(f). Factor y(j).
-(j - 2)*(j - 1)/4
Factor 0*w**3 + 3/8*w**2 + 1/4*w + 0 - 1/8*w**4.
-w*(w - 2)*(w + 1)**2/8
Factor 4/3*p**2 - 6 - 8*p - 2/3*p**4 + 8/3*p**3.
-2*(p - 3)**2*(p + 1)**2/3
Suppose 6*n + 221 + 355 = 0. Let g be (n/(-10))/3 - 3. Suppose 0 - 1/5*h**2 + g*h = 0. What is h?
0, 1
Suppose 0 = -4*j - 5*n + 22, -n = 2*j + 2*n - 12. Let z = 55 + -53. Solve -28/3*m + 20*m**j - 28/3*m**z + 32/3*m**4 - 16/3*m**5 + 4 = 0 for m.
-1, 1/2, 3
Factor 13/5*x + 7/5*x**3 + 4/5 + 3*x**2 + 1/5*x**4.
(x + 1)**3*(x + 4)/5
Let r(u) be the first derivative of 0*u + 2/15*u**3 - 1/5*u**2 + 51. Factor r(d).
2*d*(d - 1)/5
Let p(j) be the second derivative of 3*j**5/20 + 5*j**4/4 + 357*j. Suppose p(s) = 0. Calculate s.
-5, 0
Let a = -53/2 - -107/4. Let p(x) be the first derivative of -a*x**4 + 2/3*x**3 + 0*x**2 + 0*x - 3/2*x**6 - 12/5*x**5 + 2. Let p(y) = 0. Calculate y.
-1, -2/3, 0, 1/3
Let u(w) = w**3 - 126*w**2 + 5298*w - 74070. Let o(r) = -r - 3. Let v(t) = 6*o(t) + u(t). Factor v(z).
(z - 42)**3
Factor -263*r**2 + 109 - 11 + 265*r**2 + 28*r.
2*(r + 7)**2
Let v(a) be the third derivative of a**6/120 - a**5/12 + 7*a**4/24 - a**3/2 + 2*a**2 + 30. Factor v(d).
(d - 3)*(d - 1)**2
Find k such that -7*k**3 + 3*k**2 + 957*k + 8*k**3 - k**4 + 2 - 962*k = 0.
-2, 1
Let z be ((-152)/(-912))/(-2 + 111/54). Solve -4/3*p**z + 4/9*p**2 + 0*p + 5/9*p**4 + 0 = 0.
0, 2/5, 2
Let u(n) be the second derivative of -n**6/600 + n**5/100 - 2*n**3/15 + 8