et y be (-28)/(-6)*(1 + 114/(-126)). Find w such that 2/9*w**5 - 4/9*w**2 + 0*w**3 + 0 + y*w**4 - 2/9*w = 0.
-1, 0, 1
What is r in 0 + 0*r**3 - 3/7*r**4 + 0*r**2 + 0*r = 0?
0
Factor -1/8*d + 1/8 + 1/4*d**3 - 1/8*d**5 + 1/8*d**4 - 1/4*d**2.
-(d - 1)**3*(d + 1)**2/8
Let w(u) = -u**3 - 7*u**2 + 3. Let l be w(-7). Determine j so that -72*j**2 + 7*j**3 - 3*j**4 + 4*j**3 - 96*j - 35*j**l - 48 = 0.
-2
Let x(t) be the first derivative of t**6/3 + 2*t**5/5 - 5*t**4/2 - 2*t**3/3 + 8*t**2 - 8*t + 21. Factor x(b).
2*(b - 1)**3*(b + 2)**2
Let m(d) be the second derivative of 0*d**3 - 1/75*d**6 + 0*d**2 + 0 - 1/30*d**4 + 1/25*d**5 - 5*d. Factor m(r).
-2*r**2*(r - 1)**2/5
Let q be (4/6)/((-268)/(-256)). Let x = 2/67 + q. Factor 0 - 2/3*i - x*i**2.
-2*i*(i + 1)/3
Suppose 2*k + 74 = 3*k. Factor r**4 - 2*r**2 + r**4 - k*r + 2*r**3 + 72*r.
2*r*(r - 1)*(r + 1)**2
Let j(d) be the first derivative of d**9/1008 - 3*d**8/560 + 3*d**7/280 - d**6/120 + d**3/3 + 2. Let c(y) be the third derivative of j(y). Factor c(z).
3*z**2*(z - 1)**3
Let p(r) be the second derivative of r**4/36 + 2*r**3/9 + 2*r**2/3 + 9*r. Factor p(h).
(h + 2)**2/3
Determine u so that 0*u**2 + 0 + 4/3*u**3 + 2/3*u**4 + 0*u = 0.
-2, 0
Let l = -93 - -93. What is c in -2*c**5 - 7/2*c**4 + 1/2*c**2 - c**3 + 0 + l*c = 0?
-1, 0, 1/4
Factor -3/8*l + 1/2*l**3 + 0*l**4 - 1/4*l**2 + 1/4 - 1/8*l**5.
-(l - 1)**3*(l + 1)*(l + 2)/8
Let n(x) = -x**2 + 1. Let j(a) = 2*a**3 - 7*a**2 + 2*a + 3. Let s(p) = -j(p) + 3*n(p). Factor s(i).
-2*i*(i - 1)**2
Let d(u) = -6*u**3 + 8*u**2 - 4*u - 28. Let m(a) = 2*a**3 - 3*a**2 + a + 9. Let s(i) = -6*d(i) - 20*m(i). Let s(r) = 0. Calculate r.
-1, 1, 3
Let o(a) = -a**3 - 4*a**2 + a + 8. Let v be o(-4). Suppose 2*r**5 + 13*r**4 - 3*r**3 - 14*r**5 - r**v = 0. Calculate r.
0, 1/2
Factor 0 - 3/5*k**2 + 0*k.
-3*k**2/5
Let j = 3682/3 - 1262. Let d = 36 + j. Factor -22/3*h - d - 28/3*h**2.
-2*(2*h + 1)*(7*h + 2)/3
Let m(q) be the second derivative of -2*q**6/15 - 2*q**5/5 + q**4 + 8*q**3/3 - 8*q**2 + 19*q. Factor m(y).
-4*(y - 1)**2*(y + 2)**2
Suppose -q = q + z - 2, -6 = 2*q + 3*z. Factor 5*h + h**3 + q*h - 11*h + 2.
(h - 1)**2*(h + 2)
Let m(b) be the first derivative of -2*b - 4/3*b**3 - 3 + 1/4*b**4 + 5/2*b**2. Factor m(i).
(i - 2)*(i - 1)**2
Suppose 0*y = 3*y. Suppose y = -s - 3*s. Suppose s*r + 0*r + 2*r + 0*r - 2*r**3 = 0. Calculate r.
-1, 0, 1
Let q be (-10)/(-6) - (-2)/6. Determine g so that 4*g**q - 3*g**2 - 2 - 18*g + 17*g = 0.
-1, 2
Factor 3/5*f**2 - 12/5 + 0*f.
3*(f - 2)*(f + 2)/5
Let i(v) be the third derivative of 5*v**8/336 - v**6/3 + 10*v**4/3 - 22*v**2. Factor i(n).
5*n*(n - 2)**2*(n + 2)**2
Suppose -5*c = -3*c - 6. Suppose -y = y + 3*v + 9, -12 = y + c*v. Let -13*t**3 - 19*t**2 + y*t**2 + 4 - 7*t**3 - 2*t**2 + 6*t = 0. Calculate t.
-1, -2/5, 1/2
Let i(f) be the first derivative of -2*f - 1 + 1/2*f**2 - 17/2*f**4 + 26/5*f**5 + 16/3*f**3 - 7/6*f**6. Factor i(h).
-(h - 1)**4*(7*h + 2)
Factor 0 + 1/2*s**2 + 0*s - 1/2*s**5 + 3/2*s**4 - 3/2*s**3.
-s**2*(s - 1)**3/2
Let b(w) be the first derivative of 0*w + 0*w**4 + 0*w**3 + 3 + 3/2*w**2 - 1/60*w**6 - 1/15*w**5. Let r(o) be the second derivative of b(o). Factor r(u).
-2*u**2*(u + 2)
Suppose 22 - 4 = 6*j. Let v(b) = -b**3 - 2*b**2 + 3*b + 2. Let w be v(-3). Let 1 - 2 - 1 + 5*q - j*q**w = 0. Calculate q.
2/3, 1
Let o(w) be the third derivative of -w**8/112 - w**7/70 + w**6/40 + w**5/20 + 7*w**2. What is l in o(l) = 0?
-1, 0, 1
Let y be 16/48*60/14. Let -y*x**4 - 66/7*x**2 - 40/7*x - 8/7 - 44/7*x**3 = 0. What is x?
-2, -1, -2/5
Let k(u) be the third derivative of -u**5/420 + u**4/28 - 3*u**3/14 - 16*u**2. Let k(r) = 0. Calculate r.
3
Solve 21 + 1 - 48 + 28*d - 72 - 2*d**2 = 0 for d.
7
Let t = -1994 - -15913/8. Let r = t - -289/56. Factor -r*s + 0 - 4/7*s**2.
-2*s*(2*s + 1)/7
Determine b, given that 0 - 1/2*b**3 - 7/4*b**4 + 0*b**2 + 0*b = 0.
-2/7, 0
Factor -4/3*q - 1/12*q**2 - 16/3.
-(q + 8)**2/12
Suppose -4*d - 4*n + 20 = 0, 0 = 2*d - 5*d - 4*n + 15. Let p = -50 - -54. Factor 0*h + 0 + 0*h**2 + 0*h**3 + 0*h**p - 2/9*h**d.
-2*h**5/9
Let r(y) = 26*y**2 - 27*y - 26. Let m(v) = -9*v**2 + 9*v + 9. Let b(x) = -8*m(x) - 3*r(x). Find t, given that b(t) = 0.
-1/2, 2
Let n = 111 - 109. Let w(d) be the third derivative of 4*d**n + 1/420*d**7 + 0*d + 0 + 1/48*d**4 + 0*d**3 - 1/240*d**6 - 1/120*d**5. Factor w(f).
f*(f - 1)**2*(f + 1)/2
Let q be (1 + -7)*6/(-4). Let j = -6 + q. Factor -4/7*p**2 + 0*p + 0 + 2/7*p**j.
2*p**2*(p - 2)/7
Let 0*j + 0 + 1/5*j**2 + 3/5*j**4 + 3/5*j**3 + 1/5*j**5 = 0. What is j?
-1, 0
Let v(y) be the third derivative of 3*y**6/280 + y**5/70 - 19*y**4/56 + 3*y**3/7 - 9*y**2. Factor v(h).
3*(h - 2)*(h + 3)*(3*h - 1)/7
Let q = -112/3 - -38. Solve 8/3 + q*b**2 - 8/3*b = 0 for b.
2
Suppose -4*c + 3*w + 10 = 0, -3 = 2*c - 3*c + w. Let v(h) = -h**3 + 2*h**2 - 1. Let p be v(c). Factor 2/5*m - 4/5*m**3 + p*m**4 + 0 + 0*m**2 + 2/5*m**5.
2*m*(m - 1)**2*(m + 1)**2/5
Let m(d) be the third derivative of -d**9/7560 + d**8/1050 - d**7/420 + d**6/450 + d**3/6 + d**2. Let g(i) be the first derivative of m(i). Factor g(l).
-2*l**2*(l - 2)*(l - 1)**2/5
Let q(v) be the third derivative of -v**6/60 - v**5/30 + v**4/6 + 2*v**2. Factor q(u).
-2*u*(u - 1)*(u + 2)
Let p(c) = -14*c**5 + 10*c**4 + 8*c**3 - 10*c**2 + 6*c. Let j(h) = -h**4 + 5*h**4 - h**5 + 4*h - 3*h**4 - h**2 - 3*h. Let i(a) = -10*j(a) + p(a). Factor i(w).
-4*w*(w - 1)**2*(w + 1)**2
Determine y, given that -2/7*y**5 + 0*y**3 - 4/7*y**2 + 0 + 2/7*y + 4/7*y**4 = 0.
-1, 0, 1
Let r be (-2)/9 - (-20)/18. Let y = 3 + 0. Factor -2/3*m**2 + r*m**y + 0 - 2/9*m.
2*m*(m - 1)*(4*m + 1)/9
Solve -1/3*v**4 + 5/3*v**3 - v**2 - 3*v + 0 = 0 for v.
-1, 0, 3
Suppose -2*a = -0*o - 3*o - 213, 0 = 3*a - 5*o - 317. Let q be (20/(-50))/((-3)/a). Factor -12/5 - q*y - 91/5*y**2 + 98/5*y**3.
(2*y - 3)*(7*y + 2)**2/5
Suppose -5*d + 17 = -2*r - 2*r, 2*r + d = 9. Suppose 6 = r*h, 0*q = -3*q - 5*h + 39. Solve -q*t**4 - 6*t**4 - t**3 - 3*t**3 = 0 for t.
-2/7, 0
Let g(t) be the first derivative of 5*t**3/7 - 3*t**2/7 + 9. Factor g(s).
3*s*(5*s - 2)/7
Factor 7*x - 7*x**3 - 6*x + 6*x**3.
-x*(x - 1)*(x + 1)
Determine f, given that 11/2*f**3 + 2*f**4 + 9/2*f**2 + 1/2*f - 1/2 = 0.
-1, 1/4
Suppose -3*u - 5*t + 2 + 9 = 0, -4*t + 12 = 4*u. Let q = u + -2. Let 4*o**2 + q*o**2 + o - 5*o**2 = 0. What is o?
0, 1
Let c(g) = -g**2 + g - 1. Let u(w) = -3*w**3 - 6*w**2 + w - 2. Let j(n) = 2*c(n) - u(n). Determine p so that j(p) = 0.
-1, -1/3, 0
Let c(i) be the first derivative of i**8/672 - i**6/120 + i**4/48 - i**2/2 - 7. Let j(r) be the second derivative of c(r). Factor j(b).
b*(b - 1)**2*(b + 1)**2/2
Let z(i) be the third derivative of 0*i**4 + 2*i**2 - 1/270*i**5 + 0*i + 0 + 0*i**3. Determine d so that z(d) = 0.
0
Suppose 0 = 2*j + 4 - 10. Let a(o) be the first derivative of -1/9*o**j + 1/3*o + 0*o**2 - 1. Factor a(h).
-(h - 1)*(h + 1)/3
Solve 144/11*b + 72/11*b**3 - 32/11 - 194/11*b**2 - 8/11*b**4 = 0.
1/2, 4
Let g(x) = -29*x**2 + 7*x - 5. Let c(l) = -7*l**2 + 2*l - 1. Let y(z) = -9*c(z) + 2*g(z). Factor y(w).
(w - 1)*(5*w + 1)
Let r(o) be the first derivative of o**6/21 - 4*o**5/35 + 4*o**3/21 - o**2/7 + 13. Suppose r(w) = 0. What is w?
-1, 0, 1
Let x(s) be the first derivative of -3*s**4/4 - s**3 + 3*s**2/2 + 3*s - 10. Suppose x(u) = 0. Calculate u.
-1, 1
Factor 0*j**2 + 0*j + 0 + 0*j**3 - 1/7*j**4.
-j**4/7
Let k = 16/11 - 2/77. Suppose -2*g + k*g**2 + 4/7 = 0. What is g?
2/5, 1
Let y(t) = -t - 1. Let g = 0 - 1. Let i be y(g). Determine n, given that -n**3 + 2/5*n - 3/5*n**2 + i = 0.
-1, 0, 2/5
Let d(b) be the first derivative of -b**4/16 - b**3/6 + b**2/8 + b/2 + 4. Solve d(f) = 0.
-2, -1, 1
Let k(b) be the second derivative of b**9/15120 + b**8/3360 + b**7/2520 - 5*b**4/12 + 6*b. Let a(f) be the third derivative of k(f). Factor a(x).
x**2*(x + 1)**2
Let z(y) be the first derivative of -y**6/15 + 18*y**5/25 - 16*y**4/5 + 112*y**3/15 - 48*y**2/5 + 32*y/5 - 7. Let z(v) = 0. Calculate v.
1, 2
Find u, given that -4/17*u - 8/17*u**3 - 2/17 + 14/17*u**2 = 0.
-1/4, 1
Let j(y) = -4*y**3 + 12*y**2 - 13*y - 5. Let s(n) = 2*n**3 - 6*n**2 + 6*n + 2. Let k(m) = -2*j(m) - 5*s(m). Determine o so that k(o) = 0.
0, 1, 2
Find l, given that -21*l**5 - 80*l**4 - 12*l - 45*l**3 - 58*l**3 - 72*l**2 - 10*l**4 - 26*l**3 = 0.
-2, -1, -2/7, 0