2 - 2/9*j**5 - 2/9*j**4 = 0. Calculate j.
-1, 0, 1
Let f(y) be the third derivative of -y**9/5040 - y**8/1120 - y**4/24 - y**2. Let r(p) be the second derivative of f(p). Let r(u) = 0. What is u?
-2, 0
Let k be 2 - ((-10203)/12810 - 2). Let s = k - -3/854. Factor 0 + s*g + 12*g**2 + 42/5*g**3 + 9/5*g**4.
3*g*(g + 2)**2*(3*g + 2)/5
Let u(l) = l**2 - 6*l - 5. Suppose -4*z = -0*z + 32. Let v be 1/((-2)/(-6)) + z. Let i(s) = -s - 1. Let f(b) = v*i(b) + u(b). Solve f(x) = 0 for x.
0, 1
Let x(z) be the first derivative of 4*z**3/3 + 4*z**2 - 16. Suppose x(u) = 0. Calculate u.
-2, 0
Let u(r) be the second derivative of r**5/5 - 2*r**4/3 - 2*r**3/3 + 4*r**2 + 15*r. Factor u(d).
4*(d - 2)*(d - 1)*(d + 1)
Let a(n) = 8*n**4 - 18*n**3 - 45*n**2 - 24*n + 5. Let l(c) = 9*c**4 - 18*c**3 - 45*c**2 - 24*c + 6. Let o(j) = -6*a(j) + 5*l(j). Factor o(p).
-3*p*(p - 8)*(p + 1)**2
Let t(c) be the second derivative of -c**4/36 + c**3/3 - 3*c**2/2 - 2*c. Let t(o) = 0. Calculate o.
3
Factor 1/2*i**2 - 1/6*i**4 + 1/6*i**3 - 1/6*i - 1/3.
-(i - 2)*(i - 1)*(i + 1)**2/6
Let j(a) be the first derivative of -a**5/20 + 3*a**4/16 - a**3/12 - 3*a**2/8 + a/2 - 15. Determine i, given that j(i) = 0.
-1, 1, 2
Suppose -30 = -6*i - 12. Let -4/5*n - 1/5*n**2 + 4/5*n**i + 1/5 = 0. Calculate n.
-1, 1/4, 1
Let p be (-148)/(-180) - 16/72. Factor -3/5*m**2 + 6/5 - p*m.
-3*(m - 1)*(m + 2)/5
Let z(g) = -g**2 + 25. Let l be z(5). Let v(c) be the second derivative of 1/6*c**2 - 3*c + 1/9*c**3 + 1/36*c**4 + l. Factor v(r).
(r + 1)**2/3
Factor 9/4*p**2 - 3/4*p**3 + 0 - 3/2*p.
-3*p*(p - 2)*(p - 1)/4
Suppose -4*g - 11*g + 45 = 0. Factor -9/2*w**g + 2*w**4 + 0 + 3*w**2 - 1/2*w.
w*(w - 1)**2*(4*w - 1)/2
Let x(q) be the second derivative of -q**4/36 + q**3/18 - 13*q. Solve x(o) = 0.
0, 1
Let w(g) be the second derivative of 1/60*g**6 - 4*g + 0 - 1/60*g**5 - 1/252*g**7 - 1/12*g**2 + 1/12*g**3 - 1/36*g**4. What is p in w(p) = 0?
-1, 1
Let i = -4 - -2. Let p = i - -4. Let g(j) = -6*j**4 - 10*j**3 - 2*j**2 - 2*j + 2. Let s(q) = q**4 - q + 1. Let f(t) = p*s(t) - g(t). Factor f(a).
2*a**2*(a + 1)*(4*a + 1)
Let f(x) = -14*x + 6*x - 3*x**2 + 122*x**3 + 15 - 2*x**2 - 121*x**3. Let g be f(6). Factor -1/5*z**2 + 0 - 1/5*z**g + 2/5*z.
-z*(z - 1)*(z + 2)/5
Suppose 0 = 3*u - 2*p - 10, -2*u + 2*p = p - 5. Factor 0*a + 1/4*a**3 + 0*a**4 + u + 0*a**2 - 1/4*a**5.
-a**3*(a - 1)*(a + 1)/4
Let h(l) be the third derivative of -8*l**2 + 0*l**4 + 0*l - 1/360*l**6 + 0 + 0*l**3 + 1/180*l**5. Let h(f) = 0. Calculate f.
0, 1
Let b(v) be the third derivative of 5*v**8/4032 - v**7/180 + v**6/120 - v**5/360 - v**4/288 + 8*v**2. Determine w, given that b(w) = 0.
-1/5, 0, 1
Let x be -2*(-2)/6*6. Suppose -7*z = -x*z. What is j in 3*j**2 + z*j**2 + j**3 - 2*j**2 = 0?
-1, 0
Let s = 4 - 7. Let q = s + 8. Factor -8/5*g**4 + 2/5*g + 0 + 12/5*g**3 - 8/5*g**2 + 2/5*g**q.
2*g*(g - 1)**4/5
Let g(s) = -2*s + 40. Let n be g(19). Let w(f) be the first derivative of 2 + 0*f + 1/5*f**5 + 0*f**3 + 1/4*f**4 + 0*f**n. Determine v, given that w(v) = 0.
-1, 0
Let t(k) be the second derivative of k**4/12 - k**3/24 - 2*k. Find f such that t(f) = 0.
0, 1/4
Let q(h) = -h - 7. Let s be q(-10). Let k(n) be the first derivative of 2/7*n + 2/21*n**s + 2/7*n**2 + 1. Factor k(i).
2*(i + 1)**2/7
Let u(o) = 26*o**3 + o**2 - 20*o + 5. Let l(m) = -285*m**3 - 10*m**2 + 220*m - 55. Let x(a) = -6*l(a) - 65*u(a). Factor x(w).
5*(w - 1)*(w + 1)*(4*w - 1)
Factor -l**2 - 5*l**3 - 8*l**2 - 7*l - 2 + 10*l**4 - 11*l**4.
-(l + 1)**3*(l + 2)
Let y(x) be the second derivative of 27*x**5/10 - 21*x**4/4 + 4*x**3 - 3*x**2/2 - 3*x - 11. Factor y(j).
3*(2*j - 1)*(3*j - 1)**2
Let j(g) be the third derivative of g**6/1080 + g**5/135 + 5*g**4/216 + g**3/27 + 13*g**2. Factor j(m).
(m + 1)**2*(m + 2)/9
Let y(l) be the second derivative of 7/30*l**6 + 11/6*l**4 + 3/2*l**2 + 1/42*l**7 - 4*l + 0 + 9/10*l**5 + 13/6*l**3. Solve y(t) = 0 for t.
-3, -1
Let k = -1405/7 - -201. Factor 0 - k*l**3 + 0*l**2 + 0*l + 2/7*l**4.
2*l**3*(l - 1)/7
Let i(r) be the third derivative of 0*r**4 - 1/270*r**5 + 0*r + 2*r**2 - 1/1512*r**8 + 1/945*r**7 + 0*r**3 + 1/540*r**6 + 0. Factor i(y).
-2*y**2*(y - 1)**2*(y + 1)/9
Let h be -4 - (6 + (-186)/18). Let w**2 + h*w**3 + 2/3*w + 0 = 0. What is w?
-2, -1, 0
Let -5/3*b**4 - 40/3*b**3 - 80/3*b - 30*b**2 - 25/3 = 0. Calculate b.
-5, -1
Let s be (1 + -1)/(-2) - -9. Let j be 9/6*12/s. Factor 2*f**3 - 3*f**4 - 2*f + 2*f**2 - f**2 + j*f**4.
-f*(f - 2)*(f - 1)*(f + 1)
Let u(r) be the third derivative of 2*r**7/35 - 9*r**6/40 - r**5/10 + 9*r**4/8 - r**3 + 7*r**2. Suppose u(s) = 0. What is s?
-1, 1/4, 1, 2
Let q(c) = c**3 - c - 1. Let k be q(-2). Let b = 22/3 + k. Determine l so that 0 - 1/3*l + b*l**3 + 1/3*l**2 - 1/3*l**4 = 0.
-1, 0, 1
Suppose -2*f + 1 = 5*r, -4 - 1 = -f + 2*r. Suppose -5*i - 2*d + 23 = -f*d, -3*i + 9 = d. Find c, given that -2*c**i + 5*c**2 - 3 - c**2 + 1 = 0.
-1, 1
Let n be 1*(3 + 1 + 1). Let p(c) be the first derivative of -1/15*c**n + 0*c**3 + 0*c + 0*c**4 + 1/18*c**6 + 0*c**2 - 2. Factor p(x).
x**4*(x - 1)/3
Let k(x) be the third derivative of -x**8/5880 + x**7/2940 + x**6/1260 - x**5/420 + x**3/3 + 3*x**2. Let s(g) be the first derivative of k(g). Solve s(c) = 0.
-1, 0, 1
Let c be (3 - 0)*32/(-6). Let b be 2 + (c/(-4) - 3). Factor -2/3*g + 2/3*g**2 + 2/3*g**b - 2/3*g**4 + 0.
-2*g*(g - 1)**2*(g + 1)/3
Let y(g) = -10*g**4 + 18*g**3 - 16*g**2 - 24*g - 28. Let b(r) = r**4 - r**3 + r**2 + 1. Let s(n) = 12*b(n) + y(n). Solve s(f) = 0 for f.
-2, -1, 2
Suppose 3*w + 4 = 2*s + w, 0 = -5*s + 2*w + 13. Determine t so that -3*t**s - 3*t**2 + 4*t**3 - 1 + t + 2*t = 0.
1
Let n(i) = 2*i**2 + 17*i + 10. Let z be n(-8). Let k = -33/7 - -127/21. Solve 1/3*y**z + 4/3*y + k = 0 for y.
-2
Let m(k) = 24*k**4 + 88*k**3 + 80*k**2 + 42*k + 6. Let t(n) = -8*n**4 - 29*n**3 - 27*n**2 - 14*n - 2. Let w(l) = -6*m(l) - 20*t(l). Factor w(d).
4*(d + 1)**3*(4*d + 1)
Let 94 + 4*q**3 - 94 - 4*q**4 = 0. Calculate q.
0, 1
Suppose -9*s = -25 + 7. Suppose -12/5*b - 8/5 - b**3 + 18/5*b**s = 0. Calculate b.
-2/5, 2
Let t(g) = g + 27. Let d be t(-27). Factor 1/5*q**4 + 0 + d*q**3 - 3/5*q**2 + 2/5*q.
q*(q - 1)**2*(q + 2)/5
Let w = -7 + 11. Factor 2/3*g**2 + 0*g - 3*g**3 + 0 + 7/3*g**w.
g**2*(g - 1)*(7*g - 2)/3
Let j(o) be the third derivative of o**6/135 - o**5/30 - 5*o**4/54 + o**3/9 + 31*o**2. Factor j(f).
2*(f - 3)*(f + 1)*(4*f - 1)/9
Let m(r) be the first derivative of 27*r**5/5 + 27*r**4/2 + 5*r**3 - 12*r**2 - 12*r - 5. Determine u so that m(u) = 0.
-1, -2/3, 2/3
Let w(p) be the second derivative of p**7/3360 - p**6/360 + p**5/96 - p**4/48 + p**3 + 5*p. Let i(d) be the second derivative of w(d). Factor i(v).
(v - 2)*(v - 1)**2/4
Suppose -3*d - h = -32, -d + 4*d = -2*h + 34. Let w = -10 + d. Factor 0*p + w*p**3 + 1/4*p**4 - 1/2*p**2 + 1/4.
(p - 1)**2*(p + 1)**2/4
Let d(x) = x**2 - 18*x + 4. Let n be d(18). What is b in 14/13*b + 6/13*b**5 + 0*b**2 - 20/13*b**3 + 4/13 - 4/13*b**n = 0?
-1, -1/3, 1, 2
Find z, given that z**3 + z**3 + z**4 + z**4 - 4*z**3 = 0.
0, 1
Let s(p) = p**2 + p + 2. Let b be s(0). Find a such that 10*a**2 - 8*a**2 - 4*a**b = 0.
0
Let u(v) = -2*v**2 + 3*v + 2. Let x be u(-5). Let l be (-22)/x + 4/18. Factor 2/7 + 2/7*k**2 - l*k.
2*(k - 1)**2/7
Let o(p) = -p**3 + 12*p**2 - 12*p + 14. Let w be o(11). Let k = -1 + w. Factor 5 - 4 - 4*y**2 + y**2 + 2*y**k.
-(y - 1)*(y + 1)
Factor 2/3*o**4 - 2/3*o**3 + 0 + 0*o - 2/3*o**2 + 2/3*o**5.
2*o**2*(o - 1)*(o + 1)**2/3
Let g(v) be the first derivative of -v**2 + 0*v - 2/3*v**3 - 3. Factor g(i).
-2*i*(i + 1)
Let o(h) = 2*h - 2*h - 4*h + h**2 + 2. Let f be o(4). Factor -4*s**2 - 1 + 3*s**2 + f*s**2.
(s - 1)*(s + 1)
Determine d, given that -34/5*d**4 - 42/5*d**3 + 0 - 22/5*d**2 - 2*d**5 - 4/5*d = 0.
-1, -2/5, 0
Let b(v) be the third derivative of -1/30*v**5 + 0*v**3 + 0*v + 1/6*v**4 + 0 - 7*v**2 - 1/60*v**6. Find d, given that b(d) = 0.
-2, 0, 1
Suppose -5*h = 5*o - 10, 0*o + 4 = 2*h - 4*o. Factor 0 - 1/4*n**h - 1/4*n.
-n*(n + 1)/4
Let s(l) be the second derivative of 0*l**5 + 1/36*l**3 + 1/90*l**6 - l - 1/252*l**7 - 1/36*l**4 + 0 + 0*l**2. Let s(j) = 0. What is j?
-1, 0, 1
Let c be 1*(-5 - (0 + -2)). Let d be (-4)/c + 10/15. Find y, given that 1/3*y + 0 + 1/3*y**d = 0.
-1, 0
Suppose 19 = -2*w + 5*s, -2*w + 26 = -2*s + 6*s. Suppose -w*