5/25 + 9*l**4/5 - 12*l**3/5 - 2*l**2/5 + 12*l/5 + 6. Determine n, given that f(n) = 0.
-1/2, 1, 3
Let c(p) be the first derivative of -3/4*p**2 - 1/2*p**3 + 0*p - 3. Factor c(s).
-3*s*(s + 1)/2
Let q(y) be the second derivative of y**7/1680 - y**6/360 + 3*y**3/2 + 8*y. Let p(z) be the second derivative of q(z). Factor p(w).
w**2*(w - 2)/2
Let b(r) be the first derivative of -5/18*r**4 - 2/3*r**3 - 4/9*r - 2/45*r**5 + 1 - 7/9*r**2. Factor b(i).
-2*(i + 1)**3*(i + 2)/9
Let k(o) = 4*o**5 - 10*o**4 + 8*o**3 - 4*o**2 - 2*o - 2. Let t(u) = -9*u**5 + 21*u**4 - 15*u**3 + 8*u**2 + 5*u + 5. Let y(n) = 5*k(n) + 2*t(n). Factor y(d).
2*d**2*(d - 2)*(d - 1)**2
Let -7/4*w - 3/4*w**3 + 2*w**2 + 1/2 = 0. Calculate w.
2/3, 1
Factor -t**2 + t**2 - 5*t**2 + 7*t**2 - 2.
2*(t - 1)*(t + 1)
Let r = 133 + -131. Suppose 0*v**r + 0*v + 2/7*v**3 + 0 = 0. Calculate v.
0
Suppose -3*k + 11 = -6*k - 2*q, k + q + 4 = 0. Let f be (-7)/(-2) + k + 0. Factor -3/2*c**2 + 1/2*c**5 + 3/2*c**4 + f*c**3 + 0 - c.
c*(c - 1)*(c + 1)**2*(c + 2)/2
Factor 0 + 2/11*q + 2/11*q**2.
2*q*(q + 1)/11
Factor 0 + 4/3*n**3 - 4/3*n**2 - 8/3*n.
4*n*(n - 2)*(n + 1)/3
Factor 3*d**4 - 3*d**3 + 3*d + 9*d**2 + 4*d**3 + 8*d**3.
3*d*(d + 1)**3
Solve b**3 - b**3 + 0*b**5 - b**5 + b**3 = 0.
-1, 0, 1
Let n(s) be the third derivative of s**8/420 + s**7/42 + s**6/10 + 7*s**5/30 + s**4/3 - 4*s**3/3 - s**2. Let i(o) be the first derivative of n(o). Factor i(z).
4*(z + 1)**3*(z + 2)
Let p(v) be the third derivative of -v**5/60 + v**4/12 - v**3/6 - 11*v**2. Find h such that p(h) = 0.
1
Let o(v) be the third derivative of -v**6/360 - v**5/45 - v**4/18 + 9*v**2. Factor o(k).
-k*(k + 2)**2/3
Solve -10/9*p - 2/9*p**4 + 2/3 + 4/3*p**3 - 4/9*p**2 - 2/9*p**5 = 0.
-3, -1, 1
Let s(i) be the third derivative of i**5/100 - i**4/8 + 2*i**3/5 + i**2. Factor s(o).
3*(o - 4)*(o - 1)/5
Let y(r) be the first derivative of r**5/25 + r**4/15 - 4*r**3/15 - 3*r + 7. Let u(o) be the first derivative of y(o). Factor u(f).
4*f*(f - 1)*(f + 2)/5
Suppose 2/9*o**2 - 8/9 + 0*o = 0. What is o?
-2, 2
Let g(l) = -4*l - 1. Let w be g(-3). Let o = -9 + w. Factor 0*u - 6/7*u**5 - 2/7*u**2 - 10/7*u**3 + 0 - o*u**4.
-2*u**2*(u + 1)**2*(3*u + 1)/7
Let x(a) = -4*a**3 + 6*a**2 - 35. Let o(z) = z**3 + 1. Let c(s) = 6*o(s) + 2*x(s). Solve c(j) = 0 for j.
-2, 4
Let t(v) = -6*v**5 - 6*v**4 + 9*v**3 + 18*v**2 + 3*v + 3. Let l(x) = 7*x**5 + 7*x**4 - 9*x**3 - 19*x**2 - 2*x - 4. Let k(n) = 3*l(n) + 4*t(n). Factor k(d).
-3*d*(d - 2)*(d + 1)**3
Let 14/11*m**3 - 4/11*m**2 + 0 - 2/11*m - 8/11*m**4 = 0. Calculate m.
-1/4, 0, 1
Let k(q) be the second derivative of q**8/6720 - q**7/630 + q**6/180 - q**4/6 + 4*q. Let m(c) be the third derivative of k(c). Let m(o) = 0. Calculate o.
0, 2
Let h(l) be the second derivative of -1/48*l**4 + 1/168*l**7 - 1/80*l**5 + 1/120*l**6 + 0 + 0*l**3 + 5*l + 0*l**2. Let h(c) = 0. What is c?
-1, 0, 1
Let z(b) = -b**3 + 7*b**2 - 11*b + 32. Let g be z(6). Factor -1/2*k**3 - 1 + 3/2*k**g + 1/2*k - 1/2*k**4.
-(k - 1)**2*(k + 1)*(k + 2)/2
Let 0*p + 5/2*p**3 - 7/6*p**2 + 1/6*p**5 + 0 - 3/2*p**4 = 0. Calculate p.
0, 1, 7
Let c(r) be the first derivative of 2*r**5/65 + 5*r**4/13 + 2*r**3/3 - 60*r**2/13 + 72*r/13 + 23. Factor c(u).
2*(u - 1)**2*(u + 6)**2/13
Let y = -17 + 21. Factor 4*k**3 - 3*k**y - 8*k - 3*k**2 - k**3 + 5*k + 6*k**4.
3*k*(k - 1)*(k + 1)**2
Let y(o) = -4*o**5 - 32*o**4 + 24*o**3 + 8*o**2 + 4*o - 24. Let s(n) = n**4 - n**3 + 1. Let h(d) = 24*s(d) + y(d). Factor h(i).
-4*i*(i - 1)*(i + 1)**3
Suppose -5 = 5*r + 5. Let w = 4 + r. Factor -w*z**2 + 2*z**2 - z**4.
-z**4
Let k(l) = -2*l**3 - 44*l**2 - 3*l - 64. Let b be k(-22). Find h, given that -1/4*h**b - 1/4 - 1/2*h = 0.
-1
Let c(f) be the second derivative of -2*f**7/105 + 4*f**6/75 - 2*f**4/15 + 2*f**3/15 + 2*f. What is n in c(n) = 0?
-1, 0, 1
Let s(i) be the first derivative of -i**5/5 - 3*i**4/2 - 13*i**3/3 - 6*i**2 - 4*i + 4. Factor s(o).
-(o + 1)**2*(o + 2)**2
Factor 4*v**5 - 2*v**2 + 7*v**4 + 3*v**2 + 2*v**3 - 5*v**2 + 3*v**2.
v**2*(v + 1)**2*(4*v - 1)
Let w(i) = -i + 6. Let q be w(6). Let j(k) be the second derivative of 0*k**4 + 0 + q*k**3 - 1/30*k**6 + 0*k**2 + 2*k - 1/20*k**5. Solve j(p) = 0.
-1, 0
Suppose -4*i - i = -10. Find q, given that -2*q**i + 3*q + 0*q + 0*q - 2*q + q**3 = 0.
0, 1
Suppose -2*p - 20 = -6*p - 4*h, -7 = -2*p + h. Factor -2/9*u**p + 4/9*u**2 - 2/9 + 0*u**3 + 0*u.
-2*(u - 1)**2*(u + 1)**2/9
Factor 2/3 + 0*w - 1/6*w**2.
-(w - 2)*(w + 2)/6
Let q = 13/5 + -12/5. Factor -3/5*j + 2/5*j**2 + 1/5*j**5 - 3/5*j**4 + q + 2/5*j**3.
(j - 1)**4*(j + 1)/5
Let k(h) be the third derivative of 1/40*h**6 - 1/24*h**4 + 1/24*h**3 - 1/120*h**5 + 3/280*h**7 + 0*h + 0 + 2*h**2. Factor k(u).
(u + 1)**2*(3*u - 1)**2/4
Suppose 5/4*z**3 - 5/4*z + 5/4*z**2 - 5/4 = 0. What is z?
-1, 1
Factor -3/4*o**5 + 0 + 0*o**2 + 0*o - 7/4*o**3 + 11/2*o**4.
-o**3*(o - 7)*(3*o - 1)/4
Factor 1 + 1 + 8*r**2 - 11*r**3 - 17*r**2 - 15*r + 33*r**2.
-(r - 1)**2*(11*r - 2)
Let s(u) be the third derivative of -2*u**7/35 - 11*u**6/30 - 8*u**5/15 + 2*u**4/3 - 23*u**2. Factor s(n).
-4*n*(n + 2)**2*(3*n - 1)
Let g(o) = -2*o**3 + o. Let z(q) = -q**3 + q**2 - 1. Let d(c) = 5*g(c) - 5*z(c). Determine k so that d(k) = 0.
-1, 1
Find k, given that -k**2 + 3*k**2 + k + 0*k**2 - 4*k**3 + k**2 = 0.
-1/4, 0, 1
Let t(q) be the second derivative of -1/24*q**3 + 1/16*q**4 - 1/120*q**6 - 1/4*q**2 + 1/80*q**5 + 5*q + 0. Solve t(h) = 0 for h.
-1, 1, 2
Suppose 3*y = 5*r - 19, 0*y - 16 = -3*y - 2*r. Factor l**y - 3*l**2 - 3*l**3 + 5*l**2.
-3*l**2*(l - 1)
Let n = -3 + 5. Factor -9*m**5 - 11*m**2 + 11*m**n + 2*m**4.
-m**4*(9*m - 2)
Let k(y) = y**4 - 49*y**3 + 124*y**2 - 84*y. Let i(g) = 15*g**4 - 685*g**3 + 1735*g**2 - 1175*g. Let x(s) = -4*i(s) + 55*k(s). Find a, given that x(a) = 0.
0, 1, 4
Let z(f) be the first derivative of -f**4/24 + f**3/18 + 1. Factor z(v).
-v**2*(v - 1)/6
Let p(t) be the second derivative of -t**6/240 - 3*t**5/80 - t**4/8 + 3*t**3/2 - 6*t. Let d(n) be the second derivative of p(n). Factor d(g).
-3*(g + 1)*(g + 2)/2
Let g(m) be the second derivative of 4*m**2 - 5/6*m**4 + 8/3*m**3 - 6*m + 0. Solve g(r) = 0 for r.
-2/5, 2
Let l = -1 + 5. Let -z + 2*z**l - z**3 + 7*z**3 + 2*z**2 + 2*z**4 + z**3 = 0. What is z?
-1, 0, 1/4
Solve 214 + 2*o**5 + 28*o**3 + 32*o**2 + 12*o**4 + 9*o - 210 + 9*o = 0 for o.
-2, -1
Let s(i) = 4*i**3 - 16*i**2 + 12*i - 4. Let k(w) = w**4 - 4*w**3 + 15*w**2 - 12*w + 5. Let m(h) = 4*k(h) + 5*s(h). Let m(z) = 0. What is z?
-3, 0, 1
Let b(l) be the third derivative of -l**5/240 + l**4/24 - l**3/6 + 36*l**2. Factor b(m).
-(m - 2)**2/4
Let o be ((-8)/(-252)*-3)/((-9)/42). Solve o + 2/3*j + 2/9*j**2 = 0.
-2, -1
Let p(s) = 9*s**2 + 14*s - 3. Let q(o) = o**2 + o. Let t(w) = -p(w) + 6*q(w). Determine h so that t(h) = 0.
-3, 1/3
Let m(x) be the third derivative of -x**6/120 - x**5/20 - x**4/8 + x**3/6 - x**2. Let o(j) be the first derivative of m(j). Solve o(p) = 0.
-1
Let l = 2773 - 665519/240. Let j(h) be the third derivative of -l*h**6 + 0 - 1/6*h**3 - 2*h**2 + 1/80*h**5 - 1/840*h**7 + 0*h + 1/24*h**4. Solve j(i) = 0 for i.
-2, 1
Let h be -6*(128/66 + -2). Suppose 2*q - 1 = 3. Factor 0*o + 2/11*o**5 + 0 + 2/11*o**3 - h*o**4 + 0*o**q.
2*o**3*(o - 1)**2/11
Factor -10/7*r**2 + 1/7*r**5 + 10/7*r**3 + 5/7*r - 1/7 - 5/7*r**4.
(r - 1)**5/7
Let b = -25 + 27. Factor 1/5*v**3 + 1/5*v - 2/5*v**b + 0.
v*(v - 1)**2/5
Let f = -66 + 68. Let s(w) be the first derivative of 1/6*w**4 - 2/15*w**5 + 2/3*w**3 - 5/3*w**f - 2 + 4/3*w. Suppose s(t) = 0. What is t?
-2, 1
Let w = 184 - 184. Let b(o) = o. Let s be b(4). Let w*l + 0 + 0*l**3 - 2/3*l**s + 0*l**2 = 0. Calculate l.
0
Let o(d) be the first derivative of 2*d**5/65 - 2*d**3/39 - 9. Factor o(f).
2*f**2*(f - 1)*(f + 1)/13
Let x(q) be the first derivative of 2 + 1/5*q**2 + 0*q + 0*q**3 - 1/10*q**4. Factor x(i).
-2*i*(i - 1)*(i + 1)/5
Let u(w) be the second derivative of w**8/1680 - w**6/120 + w**5/60 + w**3/2 - 3*w. Let h(z) be the second derivative of u(z). Let h(b) = 0. Calculate b.
-2, 0, 1
Let k be ((-5)/(-2))/(5/30). Suppose 2*w = -g + w + 1, -g - k = 5*w. What is i in -7/2*i + 13/2*i**2 - 1/2*i**3 - 7*i**4 + 1/2 + 4*i**g = 0?
-1, 1/4, 1/2, 1
Let s be (-4 + 5)/(7/14). Find d such that 11/6*d + 1/3 + 13/3*d**3 + 4*d**s + 7/3*d**4 + 1/2*d**5 = 0.
-1, -2/3
S