8/9*n = 0. Calculate n.
-2
Let g(t) be the second derivative of -2/3*t**2 + 5/18*t**4 + 0 - 7*t - 1/15*t**5 - 1/9*t**3. Factor g(j).
-2*(j - 2)*(j - 1)*(2*j + 1)/3
Let x be (36/7)/(-3) - -2. Suppose 7*n = -84 + 98. Factor x - 2/7*r**n + 0*r.
-2*(r - 1)*(r + 1)/7
Solve 3 + 138*y**3 + 48*y**5 + 165*y**2 + 37*y + 117*y**4 + 115*y**4 + 177*y**3 = 0.
-3, -1, -1/3, -1/4
Let w(o) be the second derivative of o**6/45 + o**5/10 + o**4/9 + 15*o. Factor w(p).
2*p**2*(p + 1)*(p + 2)/3
Let v(d) = -31*d**5 + d**4 + 22*d**3 - 4*d**2 - 6*d - 6. Let c(j) = -30*j**5 + 21*j**3 - 4*j**2 - 5*j - 5. Let u(h) = 6*c(h) - 5*v(h). Solve u(x) = 0 for x.
-1, 0, 2/5
Let m(o) be the third derivative of -o**7/1155 + o**5/110 - o**4/66 + o**2. Determine u, given that m(u) = 0.
-2, 0, 1
Let w(m) be the second derivative of 2/15*m**6 - 2*m + 20*m**4 - 13/5*m**5 - 224/3*m**3 + 0 + 128*m**2. Factor w(g).
4*(g - 4)**3*(g - 1)
Let j(l) be the third derivative of 0*l**3 - 4*l**2 + 4/15*l**5 - 1/6*l**4 + 0 - 7/120*l**6 + 0*l. Suppose j(t) = 0. Calculate t.
0, 2/7, 2
Let w = 12 - 3. Determine t so that -w*t**3 - 5*t + 3*t + 7*t**2 + 2*t**2 - t + 3*t**4 = 0.
0, 1
Let v(g) = 2*g**3 + 5*g**2 - 19*g + 17. Let c(a) = 6*a**3 + 14*a**2 - 56*a + 50. Let j(t) = -5*c(t) + 14*v(t). Let j(b) = 0. What is b?
-3, 1, 2
Let h(q) = q**3 + 5*q**2 - 6*q + 2. Let n be h(-6). Let d(k) = -2*k + 14. Let g be d(5). Solve -y**3 - y + 2*y**g + 2*y**3 + y**n - 3*y**4 = 0 for y.
-1, 0, 1
Let y(l) be the first derivative of -2/7*l**3 + 0*l - 2 + 2/7*l**2. Factor y(n).
-2*n*(3*n - 2)/7
Let 6*z**2 + 12*z**2 - 31*z**2 + 5*z + 12*z**2 = 0. Calculate z.
0, 5
Let k(b) = -b**2 - 6*b - 3. Let p be k(-5). Suppose d = -5*c + 29, 16 + 2 = p*c + 2*d. Find j, given that -6*j**3 + c*j**2 - 4*j**2 + 3*j**3 + 2*j**3 = 0.
0, 1
Let y(g) be the third derivative of -g**7/210 + g**6/24 - 2*g**5/15 + g**4/6 - 5*g**2 + 6*g. Find s, given that y(s) = 0.
0, 1, 2
Factor 4 - 3*y + 1/2*y**2.
(y - 4)*(y - 2)/2
Suppose 3 = -11*k + 14*k. Factor 5/2*q + 2*q**2 + k + 1/2*q**3.
(q + 1)**2*(q + 2)/2
Let h(k) = 3*k**2 - 10*k - 2. Let n(u) = 25*u**2 - 78*u - 17. Let t(o) = -51*h(o) + 6*n(o). Solve t(s) = 0 for s.
0, 14
Suppose 27 - 11 = 4*d. Suppose -3*t + d = 5*b, b + 5*t = -4*b. Let g(k) = k**2 - k + 1. Let c(v) = -v**2 + v - 2. Let n(r) = b*g(r) + c(r). Factor n(q).
q*(q - 1)
Let p = 2956/5 - 591. Factor -2/5*u**2 - p*u**3 + 0 + 4/5*u**4 + 0*u + 3/5*u**5.
u**2*(u + 1)**2*(3*u - 2)/5
Let i(p) = 20*p**3 + 16*p**2 + 34*p + 38. Let b be 142/(-10) + (-9)/(-45). Let y(z) = 7*z**3 + 5*z**2 + 11*z + 13. Let s(d) = b*y(d) + 5*i(d). Factor s(w).
2*(w + 1)*(w + 2)**2
Let x(m) be the second derivative of 3*m**7/49 + m**6/7 + 3*m**5/35 - 18*m. Factor x(y).
6*y**3*(y + 1)*(3*y + 2)/7
Let d = 11 - 9. Factor -4*v**2 + 1 - 2*v**5 - 4*v**d + 4*v**2 + 3*v**4 + 0*v**5 + 2*v**3.
-(v - 1)**3*(v + 1)*(2*v + 1)
Let l = -24 + 3. Let i be 51/15 + l/(-35). Suppose -6*m + 3*m**2 - 1/2*m**3 + i = 0. Calculate m.
2
Let n(m) be the second derivative of 5*m**4/12 + 5*m**3 + 45*m**2/2 - 10*m. Factor n(g).
5*(g + 3)**2
Let x(r) be the third derivative of r**9/5040 - 3*r**8/1120 + 3*r**7/280 + r**4/24 + 3*r**2. Let l(w) be the second derivative of x(w). Factor l(y).
3*y**2*(y - 3)**2
Let b = -12 - -15. Factor -a**2 + 6*a - 4*a**2 + 2*a**2 - 6 + b*a.
-3*(a - 2)*(a - 1)
Let b(c) be the first derivative of -8*c**6/3 + 44*c**5/5 + 7*c**4 - 44*c**3/3 - 6*c**2 - 31. Solve b(r) = 0.
-1, -1/4, 0, 1, 3
Let d = -838/7 - -120. What is s in -d*s**3 + 2/7 + 2/7*s - 2/7*s**2 = 0?
-1, 1
Let h = 217 + -650/3. Factor 1/3*k**5 + 0 + 0*k - 2/3*k**4 + h*k**3 + 0*k**2.
k**3*(k - 1)**2/3
Let m = 22 + -20. Suppose -c - 4*a - 4 = 3*c, a - m = -2*c. Factor -2/7 + 8/7*q + 2/7*q**2 - 8/7*q**c.
-2*(q - 1)*(q + 1)*(4*q - 1)/7
Let s(i) be the second derivative of i**6/300 - i**5/100 - i**4/30 + i**3/30 + 3*i**2/20 - 2*i. Factor s(j).
(j - 3)*(j - 1)*(j + 1)**2/10
Let h(a) be the first derivative of 4*a**6/7 + 48*a**5/35 - 9*a**4/14 - 2*a**3 - 6*a**2/7 - 6. Let h(i) = 0. Calculate i.
-2, -1/2, 0, 1
Let r be 1/(-5) - (-13)/60. Let z(q) be the third derivative of -r*q**6 + 0 + 0*q**3 - 1/30*q**5 - q**2 + 0*q + 1/105*q**7 + 1/12*q**4. Factor z(j).
2*j*(j - 1)**2*(j + 1)
Let k(x) be the second derivative of -x**5/25 + x**4/90 + 10*x - 1. Suppose k(d) = 0. What is d?
0, 1/6
Let v(q) be the second derivative of -3*q**5/20 + 7*q**3/2 + 9*q**2 + 24*q. Factor v(j).
-3*(j - 3)*(j + 1)*(j + 2)
Let p(d) be the first derivative of 8*d**2 + 16*d + 4/3*d**3 + 2. Find h, given that p(h) = 0.
-2
Let u(i) be the second derivative of i**7/2520 - i**5/120 - 7*i**4/12 - 7*i. Let a(z) be the third derivative of u(z). Factor a(h).
(h - 1)*(h + 1)
Find n such that 12*n**3 - 46*n**4 - 4*n**3 - 8*n + 42*n**4 + 4 = 0.
-1, 1
Suppose 2*a - 6*a = 5*c - 13, -3*c - 3 = -3*a. Factor -2*b**3 - a + 2*b**2 - 6*b**2 - 6*b - 5*b**2 + 3*b**2.
-2*(b + 1)**3
Factor 14/3*u - 20/3 - 6/5*u**3 + 8/5*u**2.
-2*(u + 2)*(3*u - 5)**2/15
Let p(k) be the third derivative of -k**5/210 + k**4/84 + 2*k**3/21 + 8*k**2. Factor p(z).
-2*(z - 2)*(z + 1)/7
Let z be 1 + 2 - (2 + 1). Factor 0*n + z + n - 2*n**2 + 2 - n**3.
-(n - 1)*(n + 1)*(n + 2)
Let g = 14 - 15. Let o = 7 - g. Let -2/3*m**3 - 16/3 - o*m - 4*m**2 = 0. What is m?
-2
Let s(z) be the third derivative of -z**6/180 - z**5/90 + z**4/36 + z**3/9 - 4*z**2. What is u in s(u) = 0?
-1, 1
Let g be 0 + (2 - -1) + -2. Suppose 0 = y + g - 3. Factor w + 5*w - 4 - 3*w**2 + w**y + 0*w**2.
-2*(w - 2)*(w - 1)
Let m(f) = 11*f**3 + 6*f**2 - 9*f + 4. Let r(a) = -100*a**3 - 55*a**2 + 80*a - 35. Let k(z) = -55*m(z) - 6*r(z). Solve k(g) = 0.
-2, 1
Let g = 1664/39465 + 2/877. Let v(l) be the first derivative of 0*l + 1/9*l**2 + 1/6*l**4 + 2/9*l**3 - 2 + g*l**5. Suppose v(s) = 0. What is s?
-1, 0
Let a = 23 - 21. Suppose -3*j = -a*u + 15, 16 = -5*u - 3*j + 1. Solve 8/5*x**3 - 6/5*x**4 + 0 + u*x - 2/5*x**2 = 0 for x.
0, 1/3, 1
Let g = -1 - -3. Let n = 0 + g. What is f in 3*f**n - 2*f**5 - f - 5*f**2 + 3*f**5 + 2*f**4 = 0?
-1, 0, 1
Let s = 8 - 2. Suppose -m + s = 2*m. Factor 2/5*p**4 - 8/5*p**3 + 0 - 4/5*p + m*p**2.
2*p*(p - 2)*(p - 1)**2/5
Suppose 2*r - 4 = -2*v, v = -3*r - v + 4. Let m(k) be the first derivative of 2 + 0*k**3 + 1/3*k**6 + k**2 + r*k - k**4 + 0*k**5. What is g in m(g) = 0?
-1, 0, 1
Let k = -4244/5 - -850. Factor 2/5*u**3 - 6/5*u**2 - 2/5 + k*u.
2*(u - 1)**3/5
Let -8 + 5*b + 4*b**3 + 4*b + 9*b**2 - b**3 + 11 = 0. What is b?
-1
Let f(p) be the second derivative of 3*p**6/40 - 21*p**5/80 + 5*p**4/16 - p**3/8 - 2*p. Solve f(w) = 0.
0, 1/3, 1
Let w be (-4 + 16/4)*-1. Let n(y) be the third derivative of -1/30*y**5 + 0*y**4 + 2*y**2 + 0 + 0*y + w*y**3. Factor n(g).
-2*g**2
Let q = 5/13 - 2/39. Let d(c) be the first derivative of 5/18*c**4 + 2/15*c**5 - 1 - q*c**6 + 2/27*c**3 + 0*c + 0*c**2. Let d(a) = 0. Calculate a.
-1/3, 0, 1
Let q(b) = b**3 + 4*b**2 - 5*b - 5. Let w be q(-5). Let u be 8/w + (-10)/(-5). Let 0 - 1/5*a**2 + u*a = 0. What is a?
0, 2
Let m = 6/17 + 16/51. Let f be ((-3)/(-6))/(12/8). Factor m*a**2 + 0*a**3 - 1/3 + 0*a - f*a**4.
-(a - 1)**2*(a + 1)**2/3
Suppose 3*f - 3*a = 33, -f + 5*f = 2*a + 54. Determine g so that -f*g - 6 - 4*g**3 + 4*g + 2 + 15*g**2 = 0.
-1/4, 2
Let 8/3*b**4 + 4/3*b - b**5 - 8/3*b**2 + 0 - 1/3*b**3 = 0. Calculate b.
-1, 0, 2/3, 1, 2
Let r(s) be the first derivative of -3*s**4/8 - s**3 - 46. Solve r(k) = 0 for k.
-2, 0
Let u(r) be the third derivative of 1/6*r**3 + 6*r**2 + 0*r + 0 - 1/120*r**5 - 1/48*r**4. Factor u(j).
-(j - 1)*(j + 2)/2
Factor -108*g**5 + g + 81*g**4 - 10*g**2 + 15*g**2 - 9*g**3 - 10*g**2.
-g*(3*g - 1)**3*(4*g + 1)
Suppose -2*u = 3*u - 10. Factor -y**5 - 2*y**2 + 3*y**5 - y**3 + u*y**4 - 2*y**3 + y**3.
2*y**2*(y - 1)*(y + 1)**2
Let f be -4 - -4 - 2*-2. Let s(i) be the second derivative of -3*i + 2*i**2 + 1/6*i**f + 0 - i**3. Let s(m) = 0. What is m?
1, 2
Let b(k) = 3*k**2 - 32*k + 23. Let s(t) = 20*t**2 - 225*t + 160. Let d(y) = -15*b(y) + 2*s(y). Let d(v) = 0. What is v?
1, 5
Let i = -5 - -1. Let j(z) = z**3 + 4*z**2. Let c be j(i). Determine h, given that 3*h**2 - 4 + c*h + 5 + 4*h = 0.
-1, -1/3
Factor 5*c**4 + 2 - 4 + 110*c**2 - 40*c**3 - 120*c + 47.
5*(c - 3)**2*(c - 1)**2
Let w(u) be the second derivative of 5*u**9/13608 - u**8/672 + 2*u**7/945 - u**6/810 + u*