-2*(t - 1)*(t + 1)
Let m(i) = 5*i**3 + 2*i - 1. Let o be m(1). Suppose 2*u - o = 2. Let -46/7*k**3 - 54/7*k**2 - 4/7 - 26/7*k - 2*k**u = 0. What is k?
-1, -2/7
Let d = 158/7 + -22. Find a such that -2/7*a**2 + 6/7*a**3 - 2/7*a**5 - d*a + 2/7*a**4 + 0 = 0.
-1, 0, 1, 2
Let x = 165 - 329/2. Suppose 3*m - 7*m + 16 = 0, 4*t = -4*m + 24. Determine j, given that -1/4*j**t - x + 3/4*j = 0.
1, 2
Let h(i) = -i**3 - 11*i**2 + 5*i. Let f(y) = 3*y**3 + 27*y**2 - 12*y. Let v(w) = 5*f(w) + 12*h(w). Factor v(d).
3*d**2*(d + 1)
Let n = 212/21 - 66/7. Let 0*q**3 - 2*q**2 + 0 - 4/3*q + n*q**4 = 0. Calculate q.
-1, 0, 2
Factor 8/5*m**3 + 0 + 0*m - 11/5*m**4 + 3/5*m**2.
-m**2*(m - 1)*(11*m + 3)/5
Let s be 2*2/(-8)*(-2)/4. Suppose 1/2 - 1/4*j**2 - s*j = 0. What is j?
-2, 1
Let r(f) be the first derivative of f**5/40 - f**3/12 + f + 3. Let p(t) be the first derivative of r(t). Determine l so that p(l) = 0.
-1, 0, 1
What is l in -7/3*l**2 + 16/3 - 1/3*l**5 - 23/3*l**3 + 8*l - 3*l**4 = 0?
-4, -1, 1
Let q = -22 - -23. Let c(k) be the first derivative of -q + 2*k**2 - 2*k**5 + 10/3*k**3 + 0*k - k**4. Factor c(j).
-2*j*(j - 1)*(j + 1)*(5*j + 2)
Let n be (0/2)/3 + 4. Suppose l + l + c = 7, n*c = 12. Factor d**2 + 0*d**2 + d**l.
2*d**2
Let y = -7/24 + 19/24. Solve 3/2*j + y*j**3 + 3/2*j**2 + 1/2 = 0.
-1
Let c(i) = i**2 + i. Let h = -9 + 9. Let f be c(h). Suppose f + 0*j + 2/7*j**2 - 2/7*j**3 = 0. Calculate j.
0, 1
Let h(s) be the third derivative of 7*s**6/120 + s**5/5 - s**4/6 - 20*s**2. Determine b, given that h(b) = 0.
-2, 0, 2/7
Suppose -2*g - 4 = 0, -5*x + 12 = 7*g - 3*g. Let -4*t**3 - 2*t**3 + 5*t**2 + 2*t**3 + t**x + 13*t - 15*t = 0. What is t?
0, 1, 2
Let s = -2 - -2. Suppose -h + 2 = -s. Solve -p**5 - 4*p**2 + 6*p**4 - 6*p**3 - h*p**4 + 7*p**5 = 0 for p.
-1, -2/3, 0, 1
Let y(t) be the second derivative of 0*t**4 + 0 + 0*t**3 - 1/20*t**5 - 1/30*t**6 + t + 0*t**2. Suppose y(o) = 0. Calculate o.
-1, 0
Let -3 - 3/2*u**2 - 9/2*u = 0. Calculate u.
-2, -1
Find p, given that 0 + 14/9*p + 2/9*p**4 - 14/9*p**3 - 2/9*p**2 = 0.
-1, 0, 1, 7
Let w = -12 + 14. What is f in 2*f**2 + 0*f**2 - 2*f**3 + 2*f + 0*f**w - f**4 - f**4 = 0?
-1, 0, 1
Let o(a) be the first derivative of -8*a**3/39 + 4*a**2/13 - 2*a/13 - 5. Factor o(r).
-2*(2*r - 1)**2/13
Let u = 39/35 + -5/7. Factor 2/5*z**3 - 2/5*z**2 + 2/5 - u*z.
2*(z - 1)**2*(z + 1)/5
Let g be (-39)/104*8/(-6). Factor 0*i + g*i**2 - 1/2.
(i - 1)*(i + 1)/2
Let z = 449 - 447. Factor -2/5*m**z + 0*m + 0.
-2*m**2/5
Let d(s) be the third derivative of s**9/2520 + s**8/240 + s**7/63 + s**6/45 + s**4/12 - 4*s**2. Let z(m) be the second derivative of d(m). Factor z(c).
2*c*(c + 2)**2*(3*c + 2)
Let c(u) = 3*u**3 - 12*u**2 - 9*u. Let j(y) = 2*y**3 - 11*y**2 - 8*y. Let h(b) = 5*c(b) - 6*j(b). Factor h(p).
3*p*(p + 1)**2
Let u(a) = 3*a**3 + 3*a**2 + 7*a - 3. Let l(f) = f**3 + f**2 + f - 1. Suppose 0 = 5*h - 3 - 2. Let v(i) = h*u(i) - 5*l(i). Find k such that v(k) = 0.
-1, 1
Let b(x) = x**2 + 13 + 6*x + 2*x - 2*x. Let i(q) = q**2 + 6*q + 12. Let j(l) = 3*b(l) - 4*i(l). Factor j(h).
-(h + 3)**2
Suppose -s - 5*s = -36. Let m(w) be the third derivative of 2/35*w**7 + 0*w - 1/12*w**s + 5/12*w**4 - 1/3*w**3 - w**2 - 1/6*w**5 + 0. Let m(p) = 0. Calculate p.
-1, 1/3, 1/2, 1
Suppose -16 = -5*j - 6. Let v(k) = 15*k**2 - 32*k - 1. Let m(g) = 4*g**2 - 8*g. Let u(x) = j*v(x) - 9*m(x). Determine i, given that u(i) = 0.
1/3, 1
Suppose 1 = j, -9*x + 2*j + 13 = -4*x. Let 4/3*p - 14/3*p**4 + 14/3*p**2 - 22/3*p**x + 6*p**5 + 0 = 0. What is p?
-1, -2/9, 0, 1
Find d such that 4/9*d**4 + 0*d - 2/3*d**5 + 0 - 4/9*d**2 + 2/3*d**3 = 0.
-1, 0, 2/3, 1
Let z(u) be the first derivative of u**4 + 4*u**3 - 16*u - 39. Suppose z(p) = 0. What is p?
-2, 1
Let k(y) = -2*y**5 - 5*y**4 + 2*y**3 + 5*y**2. Let q(v) = -3*v**5 - 7*v**4 + 3*v**3 + 7*v**2. Let c(j) = -7*k(j) + 5*q(j). Factor c(i).
-i**3*(i - 1)*(i + 1)
Let t(f) be the second derivative of 1/20*f**5 + 0*f**2 + 1/6*f**3 + 1/6*f**4 + 0 - 3*f. Factor t(x).
x*(x + 1)**2
Let -2/5*h**2 + 0 + 0*h - 4/5*h**4 + 1/5*h**5 + h**3 = 0. What is h?
0, 1, 2
Solve -4/7 - 5/7*b - 1/7*b**2 = 0.
-4, -1
Factor -16/5*i**4 - 4/5*i + 0 - 4/5*i**5 - 24/5*i**3 - 16/5*i**2.
-4*i*(i + 1)**4/5
Let a(g) be the second derivative of 1/30*g**3 - 6*g - 1/60*g**4 + 0*g**2 + 0. Factor a(p).
-p*(p - 1)/5
Suppose 2*l = -0*l. Let k(z) be the first derivative of z**2 - 7 + l + 2 + 2*z**3 + 3. Factor k(f).
2*f*(3*f + 1)
Factor -12*m**5 + 11*m**5 + 5*m**4 - 3*m**4.
-m**4*(m - 2)
Let s(f) = f**3 - 8*f**2 - 1. Let b be s(8). Let q be b - (70/(-22) - -2). Factor 0*w - 2/11 + q*w**2.
2*(w - 1)*(w + 1)/11
Let b(t) = t**2 - 5*t - 6. Let i be b(6). Let s(j) be the first derivative of -j**5 - 2/3*j**3 - 7/4*j**4 + 0*j + i*j**2 + 1. Suppose s(l) = 0. Calculate l.
-1, -2/5, 0
Let w(n) be the first derivative of 4/3*n - 1/6*n**4 - 2/15*n**5 + 2/3*n**3 + 4 + 5/3*n**2. Factor w(x).
-2*(x - 2)*(x + 1)**3/3
Factor -1/5*f**3 + 1/5 - 1/5*f**2 + 1/5*f.
-(f - 1)*(f + 1)**2/5
Let q = 225/812 - -1/116. Factor -q*b**4 + 2/7*b - 2/7*b**3 + 2/7*b**2 + 0.
-2*b*(b - 1)*(b + 1)**2/7
Let b = 24 + -17. Let l = b - 5. Suppose 2/9 - 2/9*t**l + 0*t = 0. Calculate t.
-1, 1
Let d(v) be the third derivative of -3*v**2 + 1/180*v**6 + 0*v**5 + 0*v**3 + 0 - 1/36*v**4 + 0*v. Let d(a) = 0. Calculate a.
-1, 0, 1
Let t(s) be the first derivative of -s**6/24 + s**4/2 - 2*s**2 - 11. Find l such that t(l) = 0.
-2, 0, 2
Let d(h) = -7*h**3 - 3*h**2 - 2*h - 6. Let a(k) = -7*k**3 - 4*k**2 - 3*k - 7. Let z(f) = -6*a(f) + 7*d(f). Suppose z(n) = 0. Calculate n.
-4/7, 0, 1
Suppose 0 = 5*s, -5*s + 8 - 24 = -4*x. Solve 2*i + x*i**3 + 6*i + 0*i - 12*i**2 = 0.
0, 1, 2
Let y(a) be the first derivative of 2*a**3/9 - 4*a**2/3 + 8*a/3 + 16. Factor y(p).
2*(p - 2)**2/3
Determine h, given that -2/13*h**3 - 2/13*h**4 + 4/13*h**2 + 0*h + 0 = 0.
-2, 0, 1
Let g(o) = -o**2 - o - 1. Let a(j) = 3 - 4*j**2 - 5 + 1 - j. Let m(h) = -a(h) + 5*g(h). Let m(d) = 0. What is d?
-2
Let k = 4/7 + 2/21. Let b(r) be the first derivative of 0*r - k*r**3 + 2 + 1/2*r**2 + 1/4*r**4. Let b(v) = 0. What is v?
0, 1
Let -4/5 - 2/5*b**2 - 6/5*b = 0. Calculate b.
-2, -1
Let h(v) be the third derivative of -1/90*v**5 + 1/630*v**7 + 0*v**4 + 0*v**3 + 3*v**2 + 0*v + 1/360*v**6 + 0. Let h(r) = 0. Calculate r.
-2, 0, 1
Determine f, given that 0 + 2/11*f**5 + 32/11*f - 64/11*f**2 - 16/11*f**4 + 48/11*f**3 = 0.
0, 2
Solve -28/3*j**3 - 8/3 - 4*j**2 + 28/3*j + 20/3*j**4 = 0.
-1, 2/5, 1
Let o(t) = -3*t**2 - 1. Let h be (-6)/(-2) + 2 - 2. Let q = 10 - h. Let p(i) = -10*i**2 - 4. Let j(x) = q*o(x) - 2*p(x). Solve j(y) = 0.
-1, 1
Let k(g) = g - 1. Let f be k(5). Suppose u = f*u. Let 1/2*z**2 - 1/2*z + u = 0. What is z?
0, 1
Suppose 0 = -j - 2 + 4. Suppose 9*w**j + 2 - 4*w**2 + 3*w**2 + 7*w + 0 - 2*w**4 - w**5 + 2*w**3 = 0. What is w?
-1, 2
Let y(b) be the first derivative of -b**4/4 + 3*b**2/2 + 2*b + 37. Factor y(f).
-(f - 2)*(f + 1)**2
Suppose 3*a - 14 = -2*r, 29*r = 28*r - 2*a + 8. Factor 0 + 1/4*l**2 + 1/4*l**5 + 3/4*l**3 + 3/4*l**r + 0*l.
l**2*(l + 1)**3/4
Suppose o + 3 - 6 = 0. Suppose 0 - 1/2*r**2 - 1/4*r**o - 1/4*r = 0. What is r?
-1, 0
Let y(i) be the second derivative of 0 - 1/2*i**2 - 1/30*i**5 + 0*i**3 + 0*i**4 - 2*i. Let c(l) be the first derivative of y(l). Solve c(t) = 0.
0
Let v(w) be the third derivative of 1/360*w**6 + 0*w + 1/18*w**4 - 1/45*w**5 + 0*w**3 + 0 + 3*w**2. Solve v(q) = 0.
0, 2
Let v be 8/(-5)*(-10)/14. Suppose 2/7*g**2 + 8/7*g + v = 0. Calculate g.
-2
Suppose -3*i + 5*f = 2*f - 3, -5*i - 5*f = -25. Factor 2*l**2 + 2*l**4 - l**3 - 3*l**4 + 0*l**i + 2*l**3.
-l**2*(l - 2)*(l + 1)
Let p be 6/(-36) - 161/3. Let f = p + 54. Factor f*t**2 + 0 - 1/6*t**3 + 0*t.
-t**2*(t - 1)/6
Determine y so that 4 + 2 + 14*y - 2 + 10*y**2 = 0.
-1, -2/5
Let l = 4 - 1. Find p such that -8 - 4*p + 3*p**4 - 9*p**2 + 2 - 9*p - 2*p + l*p**3 = 0.
-1, 2
Let c(v) = v + 1. Let t(y) = 28*y**3 + 48*y**2 + 10*y - 10. Let f(b) = -2*c(b) - t(b). Find i, given that f(i) = 0.
-1, 2/7
Let d(q) be the third derivative of q**9/22680 - q**8/3360 + q**7/1260 - q**6/1080 + q**5/60 - 3*q**2. Let x(w) be the third derivative of d(w). Factor x(f).
2*(f - 1)**2*(4*f - 1)/3
Suppose 2*x + 278 = -4*y, 173 = -3*x - 3*y - 238. Let u be x/(-9)*1/3. Factor 4/5*g**4 + 0 - 4/5*g**2 + 0*g**3 + 2/