 + 2)/9
Let d(j) be the second derivative of -3*j**5/5 - 17*j**4/3 - 56*j**3/3 - 24*j**2 + 10*j + 11. Suppose d(x) = 0. Calculate x.
-3, -2, -2/3
Let m(g) be the second derivative of g**4/4 + 22*g**3 + 726*g**2 + 204*g. Factor m(t).
3*(t + 22)**2
Let w(x) be the first derivative of 0*x + 11 + 1/3*x**2 - 2/9*x**3. Factor w(i).
-2*i*(i - 1)/3
Let c(q) be the second derivative of -3*q - 3/20*q**5 + 0 - 9/4*q**4 - 81/2*q**2 - 27/2*q**3. Factor c(w).
-3*(w + 3)**3
Let c(x) be the second derivative of -3*x**5/160 - 3*x**4/16 + 7*x**3/16 - 3*x + 10. Factor c(r).
-3*r*(r - 1)*(r + 7)/8
Let r(p) be the second derivative of 0*p**2 - 25*p + 0 - 10/3*p**4 + 3/4*p**5 + 1/3*p**6 + 10/3*p**3 - 5/42*p**7. Let r(y) = 0. What is y?
-2, 0, 1, 2
Let h(w) be the second derivative of -2*w**6/15 + w**4/3 + 53*w. Find v such that h(v) = 0.
-1, 0, 1
Suppose 5*s = -4*i + 40, -5*s = -3*i - 36 - 39. Let w be s/54 + (-70)/(-9). Suppose -w - 10*b**2 - 24*b - 4 - 3*b**3 - 5*b**2 = 0. What is b?
-2, -1
Let p(k) be the third derivative of 0 - 2/15*k**5 + 1/5*k**6 - 7/6*k**4 + 1/84*k**8 - 2*k**3 + 0*k + 2/21*k**7 - 24*k**2. Factor p(q).
4*(q - 1)*(q + 1)**3*(q + 3)
Let o(a) be the first derivative of 3*a**4 - 52*a**3/3 - 20*a**2 + 156. Factor o(y).
4*y*(y - 5)*(3*y + 2)
Suppose -3*w = 2*b - 11 + 9, -w - 3*b = 11. Let k(u) be the second derivative of 0*u**2 + 5*u + 0 + 1/48*u**w + 1/12*u**3. Factor k(g).
g*(g + 2)/4
Let j be (-24)/5 + 3/2*2. Let f = 11/5 + j. What is h in 2/5*h + 0 + f*h**2 = 0?
-1, 0
Suppose -9800*l**2 + 0 + 0*l + 140*l**3 - 1/2*l**4 = 0. Calculate l.
0, 140
Let k(m) be the second derivative of -m**5 + 2*m**4/3 + 10*m**3/3 - 4*m**2 - 2*m + 43. Factor k(j).
-4*(j - 1)*(j + 1)*(5*j - 2)
Let d = 6 + 0. Let f = d + -3. What is q in 0*q + f - 5*q - 5 - 3*q**2 + q**4 + q**3 = 0?
-1, 2
Let f(a) be the first derivative of 4*a**5/5 - 81*a**4 + 2916*a**3 - 39366*a**2 - 76. Factor f(k).
4*k*(k - 27)**3
Let p = 10 + -16. Let z be 10*(0 + 3/p). Let l(s) = s**3 - 13*s**2 + 9*s + 8. Let t(c) = c**3 - c**2 + c. Let m(h) = z*t(h) + l(h). Factor m(n).
-4*(n - 1)*(n + 1)*(n + 2)
Let j(i) = -4*i**2 + 26*i - 96. Let x(d) = d + 4. Let r(u) = j(u) + 10*x(u). Factor r(h).
-4*(h - 7)*(h - 2)
Factor 5*g - 23979*g**2 + 4*g**4 - 2*g**5 - 3*g + 23975*g**2.
-2*g*(g - 1)**3*(g + 1)
Let c(f) = f**4 + 2*f**3 - 24*f - 36. Let a(v) = -3*v**4 - 7*v**3 - v**2 + 72*v + 107. Let t(k) = 8*a(k) + 22*c(k). Factor t(p).
-2*(p - 2)*(p + 2)**2*(p + 4)
Let x(f) be the third derivative of 0 + 4/45*f**6 - 2*f**3 + 4/3*f**4 + 0*f - 2/315*f**7 + 29*f**2 - 22/45*f**5. Determine d so that x(d) = 0.
1, 3
Let f be ((-4)/(-5))/(48/45 + -1). Let i(z) = -z**3 + 13*z**2 - 12*z + 3. Let j be i(f). Factor -2/9*r + 8/9*r**j - 2/3*r**2 + 0.
2*r*(r - 1)*(4*r + 1)/9
Factor 2/9*w**2 - 10/3*w + 0.
2*w*(w - 15)/9
Let u(r) be the second derivative of -1/2*r**3 + 1/2*r**2 + 13/48*r**4 - 3/40*r**5 + 0 - 47*r + 1/120*r**6. Determine v, given that u(v) = 0.
1, 2
Let t be 11 + (96/(-30))/(-8)*4*-5. Suppose 9/5*f**2 + 21/5*f**4 + 0 + 36/5*f**t - 6/5*f = 0. What is f?
-1, 0, 2/7
Let d(n) be the first derivative of 3*n**5/2 - 9*n**4/16 - 5*n**3/2 + 9*n**2/8 + 300. Suppose d(p) = 0. What is p?
-1, 0, 3/10, 1
Let u(x) = 5 - 2*x**2 - 7*x + x**2 - 9. Let t be u(-6). Suppose 0*z + z + 3*z**2 + t*z - 6 = 0. What is z?
-2, 1
Let s(k) be the first derivative of 0*k**2 + 0*k**3 + 3*k**4 - 16/5*k**5 + 2/3*k**6 - 46 + 0*k. Factor s(j).
4*j**3*(j - 3)*(j - 1)
Suppose 3*a + g = 5*a - 37, -2 = -2*g. Factor -7 + a + 22*p + 6*p**2 - 7*p**4 - 6*p**3 + 5*p**4.
-2*(p - 2)*(p + 1)**2*(p + 3)
Let v(z) = -11*z - 8 - 8*z**2 + 5*z**2 + z + 3. Let q be v(-2). Factor -6*y**q - 3/2 - 9*y**2 - 6*y - 3/2*y**4.
-3*(y + 1)**4/2
Let p(u) = u**2 - 13*u - 10. Let r be p(14). Factor -8*h + 6*h**4 - 13*h**4 + 7*h**2 - r - 2*h**3 + 14*h**2.
-(h - 1)**2*(h + 2)*(7*h + 2)
Let p(s) = -9*s**2 + 280*s - 911. Let x(z) = -2*z**2 + 56*z - 182. Let d(b) = 2*p(b) - 11*x(b). Find r such that d(r) = 0.
5, 9
Let p = -13 - -18. Let n(k) = -k**3 - k + 1. Let f(z) = -z**3 + z**2 - 10*z - 10. Let j(o) = p*f(o) - 10*n(o). Factor j(g).
5*(g - 3)*(g + 2)**2
Let c(o) be the second derivative of 2*o**4/7 - 5*o**3 + 93*o**2/7 + 379*o. Factor c(k).
6*(k - 1)*(4*k - 31)/7
Let b(z) = 4*z**3 + 76*z**2 + 468*z + 894. Let t(j) = -4*j**3 - 76*j**2 - 467*j - 896. Let i(d) = -4*b(d) - 6*t(d). Factor i(o).
2*(o + 4)*(2*o + 15)**2
Let a(o) be the first derivative of 2*o**3/3 - 27*o**2 - 56*o - 136. Factor a(v).
2*(v - 28)*(v + 1)
Let f(x) be the first derivative of 0*x**3 + 1/12*x**4 - 2*x**2 + 5 - 6*x. Let p(u) be the first derivative of f(u). Find b such that p(b) = 0.
-2, 2
Let p(n) = -n**2 - n + 62. Let a be p(-10). Let i = -25 - a. Factor 0 + 3/2*u**2 + 6*u**i - u + 7/2*u**4.
u*(u + 1)**2*(7*u - 2)/2
Let g be (13 + -1)/((-3)/(-2)). Let h be 2 - -3*(-4)/g. Factor -l**2 + 1/2*l**5 + 1/2*l**4 + 1/2*l - l**3 + h.
(l - 1)**2*(l + 1)**3/2
Let n(p) be the first derivative of p**3/12 - p**2/8 - p/2 + 340. Solve n(l) = 0 for l.
-1, 2
Suppose 0 = -7*a + 10 + 4. Determine g so that 8*g**3 + 48*g - 16 - 24*g**2 - 4*g**4 + 16*g**3 - 28*g**a = 0.
1, 2
Suppose -4*i = 4*n - 15 - 193, 2*n + 5*i = 104. Factor -6*v**4 + 49*v**3 - n*v**3 - 3*v**5 + 0*v**5.
-3*v**3*(v + 1)**2
Let t(p) be the second derivative of 0 + 34*p - 405/2*p**2 - 15*p**3 - 5/12*p**4. Factor t(k).
-5*(k + 9)**2
Suppose 7*d**3 - 92*d**2 + 4*d**4 - 11*d**3 + 180*d + 8*d**2 = 0. What is d?
-5, 0, 3
Factor 60/7 + 8*h - 4/7*h**2.
-4*(h - 15)*(h + 1)/7
Factor d**3 - 80 + 3*d + 1564*d**4 - 6*d**3 + 73*d - 12*d**2 - 1563*d**4.
(d - 5)*(d - 2)**2*(d + 4)
Let u(j) = -2*j**4 + 6*j**3 + 10*j**2 - 10*j + 2. Let i = 30 + -32. Let b(x) = x**5 + x**4 + x**2 - x + 1. Let z(n) = i*b(n) + u(n). Factor z(c).
-2*c*(c - 1)**2*(c + 2)**2
Let s(h) be the first derivative of 0*h**3 + 1/4*h**4 + 0*h**5 + 0*h + 0*h**2 - 1/6*h**6 - 5. Determine a, given that s(a) = 0.
-1, 0, 1
Let g(q) be the second derivative of -q + 1/5*q**6 + 0 + 4*q**2 + 20/3*q**3 + 8/5*q**5 + 29/6*q**4. Factor g(p).
2*(p + 1)*(p + 2)**2*(3*p + 1)
Let a(d) = -d**3 + 5*d**2 - 4*d - 1. Let r(l) = l**3 + 4*l**2 - 5*l + 3. Let h be r(-5). Let q be a(h). Factor q*c**4 - 2*c**4 + c**2 - 7*c**3 + 4*c**3 - c**5.
-c**2*(c - 1)**3
Let z(g) = g**5 + g**4 + g**2 + g. Let t(u) = u**5 - 9*u**4 + 10*u**3 + 36*u**2 + u - 15. Let n(y) = -t(y) + 6*z(y). Find j, given that n(j) = 0.
-3, -1, 1
Let v(z) be the third derivative of 0*z**3 - 13*z**2 - 1/3*z**5 + 1/3*z**4 + 0 - 7/30*z**6 + 0*z. What is m in v(m) = 0?
-1, 0, 2/7
Suppose -445*x + 77 - 18*x**3 - 215*x**2 - 302 + 9*x**3 + 14*x**3 = 0. Calculate x.
-1, 45
Let y be ((4 + (-52)/10)*1)/(58/(-145)). Find l, given that 1/2 - 1/3*l**y + 1/6*l**4 + 1/3*l - 2/3*l**2 = 0.
-1, 1, 3
Let x be ((-130)/(-910))/(3/6). Let 2/7*f**3 + 2/7*f**2 - 2/7 - x*f = 0. Calculate f.
-1, 1
Let q = -162 + 172. Find z, given that -20*z**2 + 3*z + 2*z + 5*z**5 - 10*z**3 + q*z**4 - 16 + 26 = 0.
-2, -1, 1
Factor -405 + 400*r + 8*r**2 - 2*r**2 - r**2.
5*(r - 1)*(r + 81)
Let d = 3737/1514 - -24/757. Solve 0*q**2 - 5/2*q**5 - d*q**4 + 0*q + 5*q**3 + 0 = 0.
-2, 0, 1
Let m(p) = p**2 - p + 1. Let b = -115 - -118. Let z(a) = -15*a - 9. Let r(w) = b*m(w) - z(w). Factor r(v).
3*(v + 2)**2
Factor 168 - 12*h - 226 + 2*h**2 - 80*h + 234.
2*(h - 44)*(h - 2)
Let u be ((14/(-35))/((-4)/(-10)))/(-3). Let n(b) be the first derivative of -2*b - 3/2*b**2 - u*b**3 + 2. Determine c so that n(c) = 0.
-2, -1
Let p be (-768)/320*2*3/(-27). Factor -2/15*j**4 + 0 + 2/5*j**3 - p*j + 0*j**2.
-2*j*(j - 2)**2*(j + 1)/15
Let c = -1651/12 + 1655/12. Factor 13/3*w**2 + 7/3*w**4 - 4/3*w - c*w**5 - 5*w**3 + 0.
-w*(w - 4)*(w - 1)**3/3
Factor -51/4*g**2 - 45/4 - 3/4*g**3 - 93/4*g.
-3*(g + 1)**2*(g + 15)/4
Let r(m) be the first derivative of 1/36*m**4 - 1/3*m**3 - 5 + 3*m + 3/2*m**2. Let f(h) be the first derivative of r(h). Factor f(d).
(d - 3)**2/3
Factor 975*z**2 - 80 - 40*z - 5*z**3 - 478*z**2 - 462*z**2.
-5*(z - 4)**2*(z + 1)
Let r be (-13)/(-15) + (-105)/126. Let v(u) be the third derivative of 1/180*u**6 - r*u**5 - 1/9*u**3 + 7*u**2 + 1/12*u**4 + 0*u + 0. Factor v(i).
2*(i - 1)**3/3
Let h be (-10)/(-120) - (-5)/(-3)*2/(-5). Factor -1/4*z**2 - 1/2 - h*z.
-(z + 1)*(z + 2)/4
Let j = -23/2 - -13. Let u = 20 + -39/2. Factor 0 - h 