3). Let 6/7*x**2 + 0*x**3 + 0*x - 3/7 - l*x**4 = 0. What is x?
-1, 1
Let x = -194 + 196. Solve x*w**2 + 2/3*w - 8/3*w**3 + 0 = 0.
-1/4, 0, 1
Let y(d) be the second derivative of d**8/11200 - d**7/4200 - 5*d**4/6 - 4*d. Let p(f) be the third derivative of y(f). Find n, given that p(n) = 0.
0, 1
Let d(a) be the second derivative of -a**4/16 - a**3/4 + 9*a**2/8 - a. Suppose d(o) = 0. Calculate o.
-3, 1
Suppose 1 = -4*h + 9. Factor 0*l**h + l**2 - 4*l**2 + 8*l - 2*l.
-3*l*(l - 2)
Let l(u) be the second derivative of u**5/120 - u**4/48 - u**2 + 3*u. Let b(q) be the first derivative of l(q). Factor b(g).
g*(g - 1)/2
Let d(n) be the second derivative of -n**6/15 + n**5/5 - n**4/6 - 9*n. Factor d(p).
-2*p**2*(p - 1)**2
Let s be (-38)/(-22) - 45/(-165). Let v be (1/5)/((-1)/(-4)). Factor 2/5*h**3 + 0 + v*h**s + 2/5*h.
2*h*(h + 1)**2/5
Let g(c) = 3*c**4 + 4*c**2 + 5*c - 7. Let d(j) = -5*j**4 - 6*j**2 - 8*j + 11. Let x = 17 - 12. Let n(t) = x*d(t) + 8*g(t). Find m such that n(m) = 0.
-1, 1
Suppose -5*r - 4 = -14. Let s(f) be the third derivative of 0*f**3 + 0*f - f**r + 1/120*f**6 + 0*f**4 + 0 + 1/30*f**5. Let s(i) = 0. What is i?
-2, 0
Let x be ((-6)/8*-2)/((-2)/(-4)). Let m(o) be the first derivative of 1/3*o**2 + 2 - 1/3*o - 1/9*o**x. Factor m(d).
-(d - 1)**2/3
Let r = 64 - 61. Let l = 15 - 72/5. Let -l*x**4 + 2/5*x**r - 3/5*x + 1/5 + 1/5*x**5 + 2/5*x**2 = 0. What is x?
-1, 1
Suppose -5 = 2*d + 13. Let j(o) = o**3 + o. Let v(f) be the first derivative of 5*f**4/4 + 3*f**2/2 + f + 11. Let a(r) = d*j(r) + 2*v(r). Factor a(b).
(b - 1)**2*(b + 2)
Factor 3*c**2 - 5*c**2 - 2*c - 5*c**2 - 5*c**3.
-c*(c + 1)*(5*c + 2)
Suppose 13 + 7 + 6*j**2 + 20*j - j**2 = 0. Calculate j.
-2
What is m in 0*m**2 + 3/4*m**4 + 0*m + 0 - 1/4*m**5 + 0*m**3 = 0?
0, 3
Let l(j) be the first derivative of 2*j**5/15 + 11*j**4/6 + 70*j**3/9 + 25*j**2/3 - 13. Determine r so that l(r) = 0.
-5, -1, 0
Let b(s) be the second derivative of 3/25*s**5 + 0*s**2 + 1/105*s**7 - 8/15*s**3 - s + 1/15*s**6 + 0 - 2/15*s**4. Find j such that b(j) = 0.
-2, 0, 1
Let g(u) be the first derivative of u**8/336 - 2*u**7/105 + u**6/20 - u**5/15 + u**4/24 - u**2/2 + 2. Let x(l) be the second derivative of g(l). Factor x(m).
m*(m - 1)**4
Suppose -v + 5*x + 11 = -16, -3*x = 15. Let 64/3 - 1/3*y**3 - 16*y + 4*y**v = 0. What is y?
4
Suppose u - 2 = -1. Let y(f) = -f. Let h be y(-3). Factor u + h*x**2 + 1 - 1 - 4*x**2.
-(x - 1)*(x + 1)
Suppose 5*k - 7 = 4*k. Let h be ((-4)/(-12))/(k/12). Factor h - 2/7*m**2 - 2/7*m.
-2*(m - 1)*(m + 2)/7
Let k(n) = 2*n**2 - 2*n - 9. Let z(m) = -1. Let g(o) = -2*k(o) + 10*z(o). What is i in g(i) = 0?
-1, 2
Let z(o) be the third derivative of -o**7/1050 + o**5/300 - 8*o**2. Factor z(g).
-g**2*(g - 1)*(g + 1)/5
Let j = -1 + 2. Let c = j + 3. Suppose -7*i**2 - 2*i + 14*i**4 + c*i**5 - 18*i**3 - 4*i**5 - 4*i**5 + 17*i**2 = 0. What is i?
0, 1/2, 1
Let x be (0 - 1)*-1 - -1. Factor -3*p**x + 0*p**2 - p - 2*p.
-3*p*(p + 1)
Let s = 172 + -172. Factor 18/7*o**3 - 12/7*o**2 - 8/7*o**4 + 2/7*o + s.
-2*o*(o - 1)**2*(4*o - 1)/7
Suppose 3*q = -2*b + 4, -b = q + b. Let k(p) = -p**3 + 12*p**2. Let r be k(12). Factor r + a**q + 1/2*a.
a*(2*a + 1)/2
Let 2*b + 2*b + 3*b**2 - 6*b - b - 6 = 0. Calculate b.
-1, 2
Determine b, given that 3*b**5 - 12*b**2 - 16*b**3 + 3*b - 1 + 8*b**4 + 7*b + 3*b**5 + 5 = 0.
-2, -1, -1/3, 1
Let x(u) be the first derivative of -u**4/42 - u**3/7 - 2*u**2/7 + 2*u - 1. Let l(n) be the first derivative of x(n). Determine f so that l(f) = 0.
-2, -1
Factor -8/15*x - 2/15*x**2 - 2/5.
-2*(x + 1)*(x + 3)/15
Let q(o) = 6*o**3 - 30*o**2 + 42*o - 32. Let p(r) = -2*r**3 + 10*r**2 - 14*r + 11. Let l(b) = 14*p(b) + 5*q(b). Factor l(v).
2*(v - 3)*(v - 1)**2
Let v(i) be the second derivative of i**5/130 + i**4/26 + 2*i**3/39 + 2*i - 4. Factor v(d).
2*d*(d + 1)*(d + 2)/13
Let m(v) be the first derivative of v - 1/3*v**3 - 1/24*v**4 - v**2 + 1. Let j(q) be the first derivative of m(q). Factor j(s).
-(s + 2)**2/2
Suppose 0 = 31*n - 35*n. Let d be ((-2)/(-3))/(24/9). Suppose 0*u**2 + d*u**4 + 0 + n*u - 1/4*u**3 = 0. What is u?
0, 1
Let z(k) = 2*k**2 + 6*k + 2*k**3 + 4*k**3 - 6*k**2 + k**2. Let i(v) = -3*v**3 + v**2 - 3*v. Let d(x) = 9*i(x) + 5*z(x). Factor d(y).
3*y*(y - 1)**2
Let x(h) = 3*h**3 + 2*h**2 - h. Let r be x(1). Factor -2*b - 4 + 4 + 2*b**2 - r*b.
2*b*(b - 3)
Suppose i - 5*g = 9 + 8, 4*g = -12. Let u(a) be the second derivative of 2/9*a**2 - 1/27*a**3 - 1/54*a**4 + 0 - i*a. What is d in u(d) = 0?
-2, 1
Let v(m) be the first derivative of 2/5*m + 4/5*m**4 + 0*m**2 - 4/5*m**3 + 3 - 6/25*m**5. Determine u, given that v(u) = 0.
-1/3, 1
Let h = 2/75 + 17/300. Let f(g) be the third derivative of -1/96*g**4 - 3*g**2 + 0*g - h*g**3 + 0 + 1/240*g**5. What is j in f(j) = 0?
-1, 2
Find s such that -4 + 2 + 0*s**2 - 6*s**2 + 4*s + 4*s**2 = 0.
1
Let s = -10582/27 + 392. Let a = s + 19/108. Factor a*w**3 + 1/2*w**2 - 1/2 - 1/4*w.
(w - 1)*(w + 1)*(w + 2)/4
Factor 0 + 18*k**2 - 15*k**3 - 27/5*k.
-3*k*(5*k - 3)**2/5
Let c(r) = 21*r**3 + 9*r**2 + 13. Let o(i) = -14*i**3 - 6*i**2 - 9. Let p(w) = -5*c(w) - 8*o(w). Let b(g) be the first derivative of p(g). Factor b(l).
3*l*(7*l + 2)
Suppose 3*a - 6*a - 10 = -5*y, -3*y = a - 20. Let j(v) = -v**3 + 4*v**2 + 6*v - 2. Let f be j(a). Find c such that 0*c**2 + 0 + 1/3*c**4 + 1/3*c**f + 0*c = 0.
-1, 0
Let w(k) be the first derivative of k**4/16 - k**3/6 + k**2/8 - 7. Factor w(i).
i*(i - 1)**2/4
Suppose 5*h = 3*d - 2*d - 7, -5*h - 1 = 2*d. Suppose 2*k + 3 - 9 = 0. Suppose -5*q + 3*q + 4*q**2 - d*q**k + 0*q**2 = 0. What is q?
0, 1
Let b = -39 + 39. Let a(j) be the first derivative of b*j**2 - 4/3*j**3 - 1 + 0*j + 9/2*j**4. Factor a(k).
2*k**2*(9*k - 2)
Suppose -3*l - a + 29 = -7*l, -4*l - a - 35 = 0. Let q(g) = g**2 + 9*g + 8. Let f be q(l). Solve f*i**2 + i**5 - 4*i**2 + i**5 - 8*i**3 + 2*i**3 = 0.
-1, 0, 2
Suppose z + 0*z - 2 = 0. Let y(v) be the first derivative of 0*v**2 + z + 0*v - 1/21*v**6 + 2/21*v**3 - 2/35*v**5 + 1/14*v**4. Factor y(d).
-2*d**2*(d - 1)*(d + 1)**2/7
Let o = -114/23 + 773/207. Let n = -8/9 - o. Suppose -1/3*t**2 - n + 2/3*t = 0. What is t?
1
Let k(r) = r**4 + r**3 - r**2 - r + 1. Let q(t) = -15*t**4 - 10*t**3 + 15*t**2 + 10*t - 10. Let l(u) = -10*k(u) - q(u). Factor l(s).
5*s**2*(s - 1)*(s + 1)
Suppose 12 + 9 = 3*w. Let n = 15/2 - w. Solve -1/2*u**3 + 0 + n*u + 0*u**2 = 0 for u.
-1, 0, 1
Suppose 3*f - 81 = 5*l, -5*l + 5*f - 38 = 47. Let g be (6/l)/(40/(-75)). Find a, given that a + 1/4 + g*a**2 = 0.
-1, -1/3
Let c(l) = -l**2 - 5*l - 1. Let g be c(-2). Factor 2*q**g - 71 + 71.
2*q**5
Let o(f) = -4*f**3 + 7*f**2 - 8*f - 1. Let i(v) = -9*v**3 + 15*v**2 - 17*v - 3. Let k(b) = 3*i(b) - 7*o(b). Factor k(g).
(g - 2)*(g - 1)**2
Suppose 0*x - 12 = -6*x. Factor -100*s**2 + 6*s**3 + 2*s - 2*s + x*s**4 + 2*s + 106*s**2.
2*s*(s + 1)**3
Let o(i) be the second derivative of i**5/60 - i**4/24 - i**3/3 - 3*i**2/2 + i. Let h(t) be the first derivative of o(t). Factor h(j).
(j - 2)*(j + 1)
Let m(v) be the third derivative of -v**9/60480 + v**7/10080 - v**4/6 + 2*v**2. Let w(n) be the second derivative of m(n). Suppose w(c) = 0. What is c?
-1, 0, 1
Let 1/3 + 4/3*s + 4/3*s**2 = 0. What is s?
-1/2
Suppose 11*g - 12 = -12. Factor 1/4*n**3 + g*n**2 + 1/2 - 3/4*n.
(n - 1)**2*(n + 2)/4
Let l = 3 - 1. Let y(f) be the second derivative of -1/15*f**6 + 0*f**3 + 0*f**2 - 1/10*f**5 - l*f + 0 + 0*f**4. Factor y(w).
-2*w**3*(w + 1)
Let s be ((-2)/(-6))/1 + -1. Let j = 7/6 + s. Solve -1 + j*z**2 + 1/2*z = 0.
-2, 1
Let b = -93/4 - -95/4. Factor -q + 0 + 1/2*q**3 + b*q**2.
q*(q - 1)*(q + 2)/2
Let s(p) be the first derivative of -p**4/6 + 2*p**3/9 + 2*p**2/3 + 51. Factor s(l).
-2*l*(l - 2)*(l + 1)/3
Let m be (-21)/(-28) + (-2)/8. Suppose 0*b = b - 2. Factor 0*f - m*f**b + 0.
-f**2/2
Let -1/5*k**2 - 3/5*k - 2/5 = 0. What is k?
-2, -1
Suppose -4*q**4 - q**2 - 4*q**3 + 61*q + 5*q**2 - 57*q = 0. Calculate q.
-1, 0, 1
Let w be ((-3)/(-2))/((-20)/(-8) + -2). Solve 1/2*l**w - 1/2*l + 1/2*l**2 - 1/2 = 0 for l.
-1, 1
Factor 8*i**3 - 4*i + 0*i**3 - i**5 - 3*i**5.
-4*i*(i - 1)**2*(i + 1)**2
Let t = 33 + -30. Suppose -11/2*u**2 + 1/2*u - 3/2*u**4 + 1 + 11/2*u**t = 0. Calculate u.
-1/3, 1, 2
Let y(x) be the third derivative of 1/120*x**4 + 0*x**6 - 1/150*x**5 - 3*x**2 + 1/525*x**7 + 0*x