tor 686/3*s**4 + 16 - 520/3*s - 882*s**3 + 644*s**u.
2*(s - 3)*(7*s - 2)**3/3
Suppose 17*g + 265 = 333. Let u(k) be the first derivative of 1/6*k**3 - 3/8*k**g + 0*k**2 + 0*k + 3/10*k**5 + 7 - 1/12*k**6. Factor u(y).
-y**2*(y - 1)**3/2
Let b(p) be the third derivative of 0 + 0*p**3 - 1/40*p**6 + 0*p - 13*p**2 - 1/70*p**7 + 0*p**5 + 0*p**4. Determine j, given that b(j) = 0.
-1, 0
Let q be ((-105)/(-20))/(5/4)*(-50)/(-20). Factor q*r**2 - 15/2*r - 3.
3*(r - 1)*(7*r + 2)/2
Factor 76/5*b**2 + 38/5*b - 28/5 + 2*b**3.
2*(b + 1)*(b + 7)*(5*b - 2)/5
Let i(d) = -11*d**4 + 18*d**3 - 12*d**2 - 4*d. Let j(m) = 23*m**4 - 35*m**3 + 23*m**2 + 9*m + 1. Let z(w) = 14*i(w) + 6*j(w). Let z(f) = 0. Calculate f.
-3/8, 1
Let a(u) be the second derivative of 1/15*u**3 + 3/10*u**2 + 9*u - 1/60*u**4 + 0. Suppose a(c) = 0. What is c?
-1, 3
Let l(o) = o**2 + 17*o - 27. Let x(g) = 8*g + 1. Let c(t) = -l(t) + 3*x(t). Factor c(a).
-(a - 10)*(a + 3)
Let k = -5777 - -5778. Find x such that -1/3*x**2 + k + 2/3*x = 0.
-1, 3
Let k(g) be the third derivative of g**6/24 - g**5/6 - 25*g**4/24 + 5*g**3 - 17*g**2 + 1. Factor k(v).
5*(v - 3)*(v - 1)*(v + 2)
Let o(s) be the third derivative of 1/27*s**4 + 1/540*s**6 - 2/135*s**5 + 0*s + 0 + 0*s**3 + 3*s**2. Factor o(l).
2*l*(l - 2)**2/9
Factor -32/5 - 2/5*a**2 + 34/5*a.
-2*(a - 16)*(a - 1)/5
Let y(h) be the first derivative of -h**5/25 + h**4/4 - 7*h**3/15 + 3*h**2/10 - 114. Factor y(j).
-j*(j - 3)*(j - 1)**2/5
Suppose -7 = -2*g + 1. Factor -8 + 25*b**g + 4*b**5 + 45*b**3 + 8 + 35*b**2 + 10*b + b**5.
5*b*(b + 1)**3*(b + 2)
Factor -227*s**2 - 5*s**3 - 20 + 35*s + 112*s**2 + 105*s**2.
-5*(s - 1)**2*(s + 4)
Let x be (-1)/(-5*3/60). Factor -4/7 + 2*g - 2/7*g**x - 18/7*g**2 + 10/7*g**3.
-2*(g - 2)*(g - 1)**3/7
Determine l so that 323393*l**2 - 681*l + 217 - 323378*l**2 + 53 = 0.
2/5, 45
Suppose 0*x**3 + 0*x + 2 - 5/2*x**2 + 1/2*x**4 = 0. What is x?
-2, -1, 1, 2
Let j(k) be the second derivative of k**5/70 - 2*k**4/7 + 15*k**3/7 - 50*k**2/7 - 2*k - 31. Factor j(n).
2*(n - 5)**2*(n - 2)/7
Determine n so that 9*n - 3*n**2 + 9 + 2 - 11 = 0.
0, 3
Let j(a) = 6*a**3 - 51*a**2 + 36*a + 7. Let g(x) = -12*x**3 + 104*x**2 - 73*x - 14. Let n(s) = -6*g(s) - 15*j(s). Factor n(i).
-3*(i - 7)*(i - 1)*(6*i + 1)
Let g be ((-10)/(-66) - 8/(-44))*1. Suppose -g*a + 4/3*a**2 + 1/3*a**3 - 4/3 = 0. What is a?
-4, -1, 1
Suppose -447 = 3*o + 3*x, 0 = 6*o - 3*o - x + 451. Let v be (o/875)/((-1)/7). Factor 4/5*q + 0 + 2/5*q**3 - v*q**2.
2*q*(q - 2)*(q - 1)/5
Let n(y) be the first derivative of -y**7/420 + y**6/90 + y**5/60 - y**4/6 + 9*y**3 - 10. Let s(o) be the third derivative of n(o). Factor s(l).
-2*(l - 2)*(l - 1)*(l + 1)
Determine y, given that 2*y**2 + 5001*y - 5011*y - 7*y**2 = 0.
-2, 0
Let w be (8/20)/2 - (-147)/140. Let o(s) be the first derivative of -8 + 1/2*s**2 + 13/6*s**3 - 5/4*s + 3/20*s**5 + w*s**4. Factor o(j).
(j + 1)**2*(j + 5)*(3*j - 1)/4
Let f(t) = -3*t. Suppose -m - 2*g = -2*m, 4*m - 5*g = 0. Let c be f(m). Determine d so that c + 2/15*d**3 + 2/15*d**2 - 4/15*d = 0.
-2, 0, 1
Let w(u) be the second derivative of -u**5/70 + 3*u**4/14 - 8*u**3/7 + 16*u**2/7 + 238*u. Suppose w(v) = 0. Calculate v.
1, 4
Let v be 2/15 + (25788/2340 - 11). Factor 0 + 2/13*k - 2/13*k**2 + 2/13*k**4 - v*k**3.
2*k*(k - 1)**2*(k + 1)/13
Let y(q) be the third derivative of -7*q**6/240 + 3*q**5/40 + q**4/16 - 5*q**3/12 + 2*q**2 + 41. Factor y(s).
-(s - 1)**2*(7*s + 5)/2
Determine f so that f**3 - 2*f**3 + 375*f + 195*f**2 + 13*f**3 + 185 - 7*f**3 = 0.
-37, -1
Let r(t) = -t + 8. Suppose 4*b = -b + 3*h + 20, -4*b + 16 = -5*h. Let g be r(b). Factor -5*x**2 - 20 - 4*x**3 + 2*x**g + 18 + 4*x**4 + 6*x + x**2 - 2*x**5.
-2*(x - 1)**4*(x + 1)
Let z(p) = -p**2 - 26*p - 63. Let a be z(-23). Suppose 0 = -a*c - 6*c + 60. Let -2/5*l**3 + 0*l**4 + 0*l**2 + 1/5*l**c + 1/5*l + 0 = 0. What is l?
-1, 0, 1
Let c(s) be the second derivative of 3/20*s**5 + 0*s**2 - 2*s - s**3 - 1/4*s**4 + 0. Solve c(z) = 0 for z.
-1, 0, 2
Let x(o) = -o**3 - 6*o**2 - 2*o + 5. Let s be x(-3). Let f be s + 15 + (-14)/(-10). What is i in 1/5*i**3 - 1/5*i + f - 2/5*i**2 = 0?
-1, 1, 2
Let j = -1 - 0. Let t = j - -4. Find g, given that 10 + g - g**t - 10 = 0.
-1, 0, 1
Let f(h) = 2*h**3 + 8*h**2 - 8*h - 2. Let k be f(1). Find q such that 1/4*q**2 - 1/4*q + k = 0.
0, 1
Suppose -10 = i + 4*y, 430*y + 9 = -3*i + 425*y. Solve 0 + 0*s - 10/7*s**3 - 8/7*s**4 - 2/7*s**5 - 4/7*s**i = 0.
-2, -1, 0
Let d(c) be the first derivative of -c**9/6048 - c**8/1120 - c**7/560 - c**6/720 + 2*c**3 - 11. Let u(a) be the third derivative of d(a). Factor u(o).
-o**2*(o + 1)**3/2
Let p = 0 - -2. Suppose -p*k - 2*g = -6*k + 106, -5*k = 3*g - 105. Factor 21*r - k*r + 2*r**2 - 6 + r**2.
3*(r - 2)*(r + 1)
Suppose 48*h = 90*h - 49*h + 21. Factor -4/7 - 18/7*a**2 - 2/7*a**4 - 10/7*a**h - 2*a.
-2*(a + 1)**3*(a + 2)/7
Suppose 0 = 70*b - 68*b. Let d = -7 + 11. Solve -4 + b*u**2 + 0*u**2 + d*u**2 = 0.
-1, 1
Factor 2/15*v**2 + 92/15*v - 98/5.
2*(v - 3)*(v + 49)/15
Find c such that -408*c + 239 + 142 + 451 - 4*c**2 = 0.
-104, 2
Let j(g) be the second derivative of -g**5/20 - g**4/2 + 16*g**2 + 17*g. Determine l, given that j(l) = 0.
-4, 2
Let q = -169 - -170. Let n(o) be the first derivative of q + 1/3*o + 1/3*o**2 + 1/9*o**3. Factor n(a).
(a + 1)**2/3
Let z(f) be the first derivative of f**4/2 - 5*f**3/3 - f**2/2 + 6*f + 61. Factor z(h).
(h - 2)*(h + 1)*(2*h - 3)
Let x(g) be the second derivative of 0*g**2 - 1/110*g**5 + 0*g**3 + 1/165*g**6 - 15*g + 0 - 1/66*g**4 + 1/231*g**7. Factor x(m).
2*m**2*(m - 1)*(m + 1)**2/11
Suppose -6*f + 4*f = -6. Let t(z) = z**f - 1 - 1 - z**2 + 1. Let y(j) = 6*j**3 + 3*j**2 + 3*j - 3. Let x(g) = -3*t(g) + y(g). Determine w so that x(w) = 0.
-1, 0
Let r(y) be the third derivative of 1/6*y**3 + 1/240*y**6 + 0*y + 0 - 1/80*y**5 + 3*y**2 + 0*y**4. Let m(j) be the first derivative of r(j). Factor m(i).
3*i*(i - 1)/2
Factor -581*c**2 - 69*c**4 - 2539*c**2 - 18590*c + 64*c**4 - 210*c**3 - 17170 - 15785.
-5*(c + 3)*(c + 13)**3
Let b(u) be the third derivative of -u**8/616 + 2*u**7/385 + u**6/110 - 2*u**5/55 - u**4/44 + 2*u**3/11 - 69*u**2. Find n such that b(n) = 0.
-1, 1, 2
Let y be (129/(-27) - -8) + (-2)/9. Suppose -y*l = -64 + 55. Factor -4/3*p + 4/3*p**4 + 1/3*p**5 - 4/3*p**2 + p**l + 0.
p*(p - 1)*(p + 1)*(p + 2)**2/3
Let m(a) = -a + 1. Let o(d) = -18*d - 19. Let k(c) = -5*m(c) + o(c). Let l be k(-2). Factor 3/4*t**3 + 0*t + 0 - 3/4*t**l.
3*t**2*(t - 1)/4
Let p(o) be the second derivative of -o**7/168 + o**5/24 + o**3/3 - 11*o**2/2 - 47*o. Let v(x) be the second derivative of p(x). Factor v(i).
-5*i*(i - 1)*(i + 1)
Let j be 9/(-4*(-9)/12). Factor -4/7*o + 2/7*o**j + 2/7*o**2 + 0.
2*o*(o - 1)*(o + 2)/7
Let f(u) be the first derivative of -5 - 2*u - 1/54*u**4 + 4/27*u**3 - 4/9*u**2. Let s(o) be the first derivative of f(o). Factor s(h).
-2*(h - 2)**2/9
Let m = 386 - 384. Suppose -5/3*v + m + 16*v**3 + 5/3*v**5 - 28/3*v**4 - 26/3*v**2 = 0. Calculate v.
-2/5, 1, 3
Factor 0 + 96/5*j**3 + 0*j + 0*j**2 - 6/5*j**4.
-6*j**3*(j - 16)/5
Let f(v) be the first derivative of v**5/15 + 86*v**4/3 + 14792*v**3/3 + 1272112*v**2/3 + 54700816*v/3 + 187. Factor f(i).
(i + 86)**4/3
Let z(v) = v**3 + 7*v**2 + 8*v - 9. Let p be z(-3). Find d such that 1/8*d**2 - 1/8 + 1/8*d**p - 1/8*d = 0.
-1, 1
Factor 49*r**4 + 78 - 315*r + 381*r**5 - 330*r**3 + 41*r**4 + 480*r**2 - 384*r**5.
-3*(r - 26)*(r - 1)**4
Let w(k) be the first derivative of k**8/1680 - k**6/180 + k**4/24 - 11*k**3/3 + 18. Let m(c) be the third derivative of w(c). Suppose m(p) = 0. Calculate p.
-1, 1
Let d(o) be the second derivative of o**6/240 - o**5/40 + o**4/16 + 17*o**3/6 + 5*o. Let t(v) be the second derivative of d(v). Factor t(r).
3*(r - 1)**2/2
Suppose -3*y + 5*n + 53 = 0, -y - n + 8 = -7. Let c = y + -11. Solve -6*t**4 + t**2 + 0*t**5 - 9*t**3 + 5*t**5 + 4*t**5 + c*t**2 = 0.
-1, 0, 2/3, 1
Let x(k) be the first derivative of -k**7/210 - k**6/30 - k**5/15 - 5*k**3 + 13. Let a(j) be the third derivative of x(j). Factor a(r).
-4*r*(r + 1)*(r + 2)
Let v(q) be the first derivative of -4*q**3/27 + 22*q**2/3 - 128*q/9 + 214. Find h, given that v(h) = 0.
1, 32
Let m(s) be the third derivative of -s**6/120 + 3*s**5/10 - 17*s**4/24 + s**3/2 + 18*s**2. Let u be m(17). Solve -10/9*b**u - 4