0, 1
Let z(k) be the second derivative of 0 + 5/3*k**2 - 5/18*k**3 - 5/36*k**4 + 29*k. Factor z(s).
-5*(s - 1)*(s + 2)/3
Let o(r) be the third derivative of r**6/720 - r**5/9 + 25*r**4/9 + 86*r**2. Factor o(c).
c*(c - 20)**2/6
Let c(z) be the first derivative of 48*z - 6*z**4 - 20 + 3/5*z**5 - 48*z**2 + 24*z**3. Solve c(k) = 0.
2
Let g(y) = 5*y**2 - 8*y - 48. Let s(v) = -5*v**2 + 9*v + 54. Let w(r) = -4*g(r) - 3*s(r). Factor w(i).
-5*(i - 3)*(i + 2)
Let b = 227 + -191. Let l be b*(1 + 6/(-9)). Suppose 3/2*f**3 + l - 3*f**2 - 6*f = 0. What is f?
-2, 2
Let r(t) = -t**3 + 6*t**2 + 7*t + 3. Let x = -12 - -19. Let h be r(x). Factor 3*k**2 - k**2 - k**3 - k**5 + h*k**3 - k**5 - 2*k**4.
-2*k**2*(k - 1)*(k + 1)**2
Suppose -47 = -4*k - 35. Determine x, given that 6/11*x - 26/11*x**2 + 8/11*x**k + 0 = 0.
0, 1/4, 3
Let h(i) be the second derivative of 0 + 10/27*i**3 - 28*i + 2/3*i**2 + 1/12*i**4 + 1/180*i**5. Factor h(n).
(n + 1)*(n + 2)*(n + 6)/9
Let b = -9104/7 - -1301. Determine i, given that -20/7*i**3 + b*i**4 - 48/7*i + 48/7*i**2 + 16/7 = 0.
2/3, 2
Factor 209128 - 209116 - 3*b**4 - 9*b**2 + b**3 - 12*b + 10*b**3 + b**3.
-3*(b - 2)**2*(b - 1)*(b + 1)
Let k = 5 - 3. Suppose 0 = -5*j - 3*z, 2*j - 4*z = -6*z. Factor j + 1/5*w**k - 1/5*w.
w*(w - 1)/5
Let z(f) be the third derivative of f**5/30 - 119*f**4/6 + 14161*f**3/3 + 172*f**2. Solve z(s) = 0 for s.
119
Let d(f) be the second derivative of f**4/144 - 3*f**3/8 + 13*f**2/12 + 2*f + 219. Factor d(x).
(x - 26)*(x - 1)/12
Let t(x) be the first derivative of x**4/28 + 3*x**3/7 + 15*x**2/14 - 25*x/7 + 136. Factor t(g).
(g - 1)*(g + 5)**2/7
Suppose 2/7*m**3 + 0 - 4/7*m - 2/7*m**2 = 0. What is m?
-1, 0, 2
Let z(q) be the third derivative of -1/8*q**4 + 0 - 1/8*q**3 + 0*q + 1/16*q**5 + 29*q**2. Let z(f) = 0. Calculate f.
-1/5, 1
Let x be 120/(-14) - (-13)/((-143)/(-99)). Factor x*s**2 + 12/7 + 12/7*s.
3*(s + 2)**2/7
Let q(d) be the first derivative of -3*d**4 - 57*d**3 + 69*d**2 + 45*d + 51. What is f in q(f) = 0?
-15, -1/4, 1
Let a = -2331 + 419581/180. Let p(w) be the third derivative of -1/9*w**3 + 0*w - 3*w**2 + 0 + 1/72*w**4 + a*w**5. Find z, given that p(z) = 0.
-2, 1
Let t(m) be the third derivative of m**6/1260 + m**5/70 + 5*m**4/84 + 13*m**3/2 + 5*m**2. Let z(v) be the first derivative of t(v). Factor z(k).
2*(k + 1)*(k + 5)/7
Suppose 2*s = 4*n - 20, n + 4*s + 22 = 3*n. Let -2*t**n - 5*t + 2*t**2 + 0*t - 1 - 1 + 7*t = 0. What is t?
-1, 1
Let z(q) = -q**2 + 19*q + 16. Let t(h) = 31 + 32 - 9*h**2 + 75*h + 6*h**2. Let a(o) = -4*t(o) + 15*z(o). Factor a(x).
-3*(x + 1)*(x + 4)
Let m(u) be the second derivative of 0 + 0*u**2 + 0*u**4 - 1/21*u**7 - 2*u + 0*u**3 + 1/15*u**6 + 0*u**5. Find q, given that m(q) = 0.
0, 1
Let k(z) be the second derivative of -z**7/357 - z**6/255 + 3*z**5/170 + z**4/102 - 2*z**3/51 + 366*z. Find f, given that k(f) = 0.
-2, -1, 0, 1
Let r(f) = f**3 + 9*f**2 + f + 11. Let q be r(-9). Factor -12*v**3 - q*v**4 + 6*v**2 - 4*v**2 + 357*v - 345*v.
-2*v*(v - 1)*(v + 1)*(v + 6)
Let i(d) be the second derivative of -2*d**6/15 - 7*d**5/5 + 22*d**4 - 296*d**3/3 + 208*d**2 - 708*d. Suppose i(n) = 0. Calculate n.
-13, 2
Suppose -5*j = 4*j. Let m(u) be the first derivative of j*u + 0*u**3 - 2/5*u**5 + 0*u**2 + 3 + 0*u**4. Factor m(x).
-2*x**4
Let o(f) = f**2 + 4*f - 2. Let s be o(-5). Suppose -s*j + 2*j**3 - 3*j**3 + 4*j**3 = 0. Calculate j.
-1, 0, 1
Let l(z) be the second derivative of 65*z**4/12 + 590*z**3/3 + 90*z**2 - 6*z + 50. Solve l(c) = 0.
-18, -2/13
Let p be 1 + (-9)/21 + 228/42. Suppose 2*q - p*q + 6*q = 0. Let 0 + q*n**2 + 0*n + 1/4*n**4 + 1/4*n**3 = 0. Calculate n.
-1, 0
Let f(k) = 8*k**2 - 6776*k - 819478. Let z(b) = -b**2 + 968*b + 117071. Let h(i) = 6*f(i) + 44*z(i). Determine t, given that h(t) = 0.
-242
Let d = -3806 + 3806. Determine p, given that d + 2/3*p**2 + 0*p - 1/3*p**3 - 1/3*p**4 = 0.
-2, 0, 1
Determine r so that 30*r**4 + 16220/7*r**2 + 2/7*r**5 + 5820/7*r**3 + 5202/7 + 15810/7*r = 0.
-51, -1
Suppose 3*t - 9 = -0*t - 3*v, t + 2*v - 4 = 0. Let -4*s**3 + 2*s**4 + 2*s**4 - 6*s**2 - t*s**4 = 0. What is s?
-1, 0, 3
Suppose -2*y - 1 = -5*w, -3*w = y - 4*w - 1. Find q, given that -7*q**3 + 22*q**3 + 6*q - 25*q**y + q**4 - 5*q**5 + 4*q**4 + 4*q = 0.
-2, 0, 1
Let j(r) be the second derivative of 0 + 5/4*r**4 - 5/8*r**5 - 4*r**2 - 6*r - r**3. Let x(m) be the first derivative of j(m). Factor x(n).
-3*(5*n - 2)**2/2
Let q(o) be the second derivative of -5/6*o**3 + 18*o + 0 - 5/12*o**4 + 5/2*o**2 + 1/4*o**5. Factor q(r).
5*(r - 1)**2*(r + 1)
Let z = 11604 + -11604. Determine h, given that 0 - 60/7*h**3 - 50/7*h**4 - 18/7*h**2 + z*h = 0.
-3/5, 0
Let f(q) be the second derivative of q**7/126 - q**6/45 - q**5/60 + q**4/18 - 72*q. Factor f(z).
z**2*(z - 2)*(z - 1)*(z + 1)/3
Let -a**5 - 48*a**2 + 0 + 42/5*a**4 + 20*a - 41/5*a**3 = 0. Calculate a.
-2, 0, 2/5, 5
Let b(o) be the first derivative of 4*o**3/3 - 36*o**2 + 227. Suppose b(r) = 0. What is r?
0, 18
Let r = -13774/5 + 2762. Factor -48/5*y - 4/5*y**4 + 16/5*y**3 + 8/5*y**2 - r.
-4*(y - 3)**2*(y + 1)**2/5
Suppose 5*s + 73 = 98. Let j(h) be the second derivative of 3/50*h**s + 0 - 1/150*h**6 + 0*h**2 - 3/20*h**4 + 0*h**3 - 7*h. Factor j(k).
-k**2*(k - 3)**2/5
Let p = 84 - 80. Suppose -4*y + 20 = -p*x + x, -26 = -3*y + 5*x. Factor 2/15*t**y - 2/15*t - 2/15 + 2/15*t**3.
2*(t - 1)*(t + 1)**2/15
Suppose -i - 3*g = -17, -7*i + 2*i - 3*g + 25 = 0. Factor -40*d + 200 + 73*d**2 + 69*d**i - 140*d**2.
2*(d - 10)**2
Factor -1/3*n**2 + 1/3*n**4 + 0 - 2/3*n**3 + 2/3*n.
n*(n - 2)*(n - 1)*(n + 1)/3
Solve 351/4*x**2 + 3/4*x**4 + 0 + 15*x**3 + 243/2*x = 0.
-9, -2, 0
Let z = 5 - 35. Let j = 32 + z. Let -3 - c + j*c**2 - 6 + 5 + 3*c = 0. What is c?
-2, 1
Let u be 83/5 + 0/(-241) + -13. Solve 6*r + 2/5*r**3 - u*r**2 + 10 = 0.
-1, 5
Let f(t) be the third derivative of 0 + 1/3*t**5 - 5/6*t**3 - 5/8*t**4 + 0*t - 18*t**2. Factor f(i).
5*(i - 1)*(4*i + 1)
Suppose -672*t = -694*t. Factor 2/3*n**3 + 3*n**2 + 4/3*n + t.
n*(n + 4)*(2*n + 1)/3
Let b(v) be the second derivative of -v**5/12 + 17*v**4/24 - v**3 + 3*v**2/2 + 2*v. Let q(n) be the first derivative of b(n). Let q(t) = 0. Calculate t.
2/5, 3
Suppose 42*f = 56*f - 560. Let w be 194/60 - (-4)/f. Let 4/3*h**2 + 0 + w*h**5 - 4/3*h**4 - 10/3*h**3 + 0*h = 0. What is h?
-1, 0, 2/5, 1
Let c = -33 + 35. Factor -28 + 3*d + d**3 - 35 + 63 - 4*d**c.
d*(d - 3)*(d - 1)
Suppose -4*u = u - 5. Let w(p) = 2*p + 6*p - u + 7*p**2 - 2. Let a(q) = q**2 + q. Let g(o) = -6*a(o) + w(o). Factor g(t).
(t - 1)*(t + 3)
Let w(v) = -4*v - 35*v + 27*v**3 + 7 - 19 + 24*v**2 - 9. Let d(a) = -13*a**3 - 12*a**2 + 19*a + 10. Let g(m) = -9*d(m) - 4*w(m). Factor g(s).
3*(s - 1)*(s + 2)*(3*s + 1)
Let s(h) be the first derivative of 5*h**3/3 - 5*h**2 + 5*h - 540. Solve s(p) = 0 for p.
1
Let j(m) = -m**3 - 5*m**2 + 3*m + 3. Let d(w) = -2*w + 2. Let n(y) = -10*d(y) + 2*j(y). Determine x, given that n(x) = 0.
-7, 1
Let n(g) = -20*g**2 - 28*g - 58. Let a(w) = -9*w**2 - w + 1. Let r(t) = 2*a(t) - n(t). Factor r(z).
2*(z + 3)*(z + 10)
Let s(i) = 32*i - 1309. Let j be s(41). Suppose 2/7*v**j - 4/7*v + 2/7*v**2 + 0 = 0. Calculate v.
-2, 0, 1
Let f(k) be the second derivative of k**7/105 + 2*k**6/75 - 11*k**5/50 - 2*k**4/5 + 12*k**3/5 + 17*k. Find t, given that f(t) = 0.
-3, 0, 2
Let f(q) be the first derivative of 2*q**2 - 8*q - 8. Let n(g) = -g**2 + 3*g - 7. Let y(a) = 5*f(a) - 4*n(a). Factor y(i).
4*(i - 1)*(i + 3)
Let v(n) be the second derivative of 0 - 7/30*n**4 - 5/84*n**7 + 0*n**2 - 69/200*n**5 - 1/15*n**3 - 30*n - 7/30*n**6. Factor v(w).
-w*(w + 1)**2*(5*w + 2)**2/10
Let f(q) be the third derivative of 0*q**4 + 0*q**5 + 0*q**6 + 0 - 1/350*q**7 + 1/560*q**8 - 33*q**2 + 0*q**3 + 0*q. Factor f(m).
3*m**4*(m - 1)/5
Let g = -47799/40 - -1195. Let d(j) be the second derivative of 5*j + g*j**6 + 3/80*j**5 + 1/48*j**4 + 1/168*j**7 + 0*j**3 + 0*j**2 + 0. Factor d(b).
b**2*(b + 1)**3/4
Let r be 1728/(-126) + 14 - 64/616. Factor r*b**4 - 8/11*b**2 - 2/11*b**3 + 8/11*b + 0.
2*b*(b - 2)*(b - 1)*(b + 2)/11
Let r(h) be the third derivative of 0 - 9*h**2 - 5/6*h**3 + 5/8*h**4 - 1/4*h**5 + 1/24*h**6 + 0*h. Factor r(d).
5*(d - 1)**3
Suppose -2*x - 26 = 6. Let b = x - -16. Factor t**3 + b*t + 0*t**3 - t + 0*t.
t*(t - 1)*(t + 1)
Let f be (0/76)/((-3 - -2) + 