actor w(n).
-2*n*(n + 1)/5
Let o be (6 - 0)*10/6. Let i = -8 + o. Determine n so that 0 - 1/2*n**i - 1/2*n**3 + 0*n = 0.
-1, 0
Let y(h) = 8*h - 1. Let t be y(1). Suppose a + 1 - t = 0. Determine u, given that 0*u**3 - u**3 + 9*u - 2*u**3 + 3*u**4 + 6 - 9*u**2 - a*u = 0.
-1, 1, 2
Solve 2/9*y**2 - 4/9 - 2/9*y = 0.
-1, 2
Let p(f) = f**3 - 5*f**2 - 6*f + 3. Let q be p(6). Suppose 0 = -q*h - 5*h. Factor 2/5*n**2 + 2/5*n + h.
2*n*(n + 1)/5
Let g = 2/5437 - -5017/1141770. Let v(r) be the third derivative of -2/21*r**3 - r**2 + 0*r + 0 + g*r**5 - 1/84*r**4. Solve v(q) = 0 for q.
-1, 2
Let v(i) be the third derivative of -1/120*i**6 + 1/20*i**5 + 4*i**2 + 0*i + 0 - 1/8*i**4 + 1/6*i**3. Suppose v(r) = 0. Calculate r.
1
Let i = 35 + -32. Let j(c) be the first derivative of -1/3*c**i - 2*c + 3/2*c**2 - 3. Factor j(h).
-(h - 2)*(h - 1)
Let x(k) be the second derivative of 0 - k + 0*k**5 + 0*k**6 - 1/12*k**4 + 0*k**2 - 1/7560*k**7 + 0*k**3. Let j(i) be the third derivative of x(i). Factor j(w).
-w**2/3
Find p such that -4*p**2 + 5*p**2 + 5*p**2 - 70*p + 74*p = 0.
-2/3, 0
Let i(m) = m**4 + m**3 + 2*m**2 + 2*m - 3. Let s(g) = -2*g**2 - 2*g + 2. Let n(r) = -2*i(r) - 3*s(r). Factor n(z).
-2*z*(z - 1)*(z + 1)**2
Factor -20*p**2 - 3 + 3 + 10*p**2 - 4*p**3 - 4*p.
-2*p*(p + 2)*(2*p + 1)
Let d be 9*((-175)/(-21) - 8). Let 1/4*s**2 + 0 - 1/4*s**d + 0*s = 0. What is s?
0, 1
Let x = -5920/9 + 658. Determine m so that 2/9 - 4/9*m + x*m**2 = 0.
1
What is v in 2*v**5 - 2*v + 2*v**4 - 2*v**2 - 3*v**5 + 3*v = 0?
-1, 0, 1
Let i(f) be the third derivative of -f**6/24 + 5*f**4/24 + 2*f**2. Factor i(a).
-5*a*(a - 1)*(a + 1)
Find w such that 6*w**2 - 2*w**3 + 14*w - 6 + 6*w - 18*w = 0.
-1, 1, 3
Let p(k) be the first derivative of -k**9/1008 + k**8/140 - k**7/56 + k**6/60 - k**3 - 7. Let m(d) be the third derivative of p(d). Find b, given that m(b) = 0.
0, 1, 2
Let j(i) be the third derivative of -i**8/2352 + i**7/1470 + i**6/420 + 28*i**2. Determine b, given that j(b) = 0.
-1, 0, 2
Let n be (-17 - (-4 - (-6)/3))/(-4). Factor 9/4*q**3 - 3/4*q**5 - 3/4*q**4 + 3/2*q + n*q**2 + 0.
-3*q*(q - 2)*(q + 1)**3/4
Let y(b) = 2*b**2 - 9. Let c(k) = -1. Let g(q) = c(q) - y(q). Factor g(u).
-2*(u - 2)*(u + 2)
Factor -7*c + c + 0*c + 2*c + 4*c**3.
4*c*(c - 1)*(c + 1)
What is i in -107 + 54*i**2 - 46*i**2 - 193 - 3*i**3 - 360*i - 71*i**2 = 0?
-10, -1
Let u(p) be the second derivative of p**7/13860 - p**5/165 - p**4/4 + p. Let w(r) be the third derivative of u(r). Let w(g) = 0. Calculate g.
-2, 2
Factor 0*k + 5/4*k**2 + 3/2*k**3 + 0 + 1/4*k**4.
k**2*(k + 1)*(k + 5)/4
Let r(g) be the second derivative of g**7/4200 + g**6/600 + g**4/2 - 3*g. Let h(d) be the third derivative of r(d). Factor h(f).
3*f*(f + 2)/5
Let m(b) be the third derivative of 1/12*b**3 - b**2 + 0*b + 0 + 1/480*b**6 + 1/60*b**5 + 5/96*b**4. Let m(f) = 0. What is f?
-2, -1
Let c = 1 - -5. Factor -3*m**3 + 2*m**4 + 0*m**4 - 5*m**4 - c*m**3 - 6*m**2.
-3*m**2*(m + 1)*(m + 2)
Suppose 3*x + 1 = 4*x. Let g = x + 3. Solve 6/7*i**3 + 6/7*i**2 + 2/7*i + 2/7*i**g + 0 = 0.
-1, 0
Let w = 230/129 + -48/43. Factor 0*n + w*n**4 + 0 - 2/3*n**3 - 2/3*n**2 + 2/3*n**5.
2*n**2*(n - 1)*(n + 1)**2/3
Let i be 70/(-21)*6/(-10). Factor 0*c**3 + 2/5*c - 2/5*c**5 + 4/5*c**4 + 0 - 4/5*c**i.
-2*c*(c - 1)**3*(c + 1)/5
Let f(c) = 6*c**4 - 12*c**3 + 6*c**2 - 3. Let b be 33/7 - (-4)/14. Let y(h) = 11*h**4 - 23*h**3 + 13*h**2 - h - 5. Let m(o) = b*f(o) - 3*y(o). Factor m(u).
-3*u*(u - 1)**3
Let k(l) be the third derivative of -l**7/105 - l**6/20 + 2*l**2 - 2*l. Factor k(c).
-2*c**3*(c + 3)
Let w(d) = d**2 + 2*d. Let y be w(-3). Factor -6*p**y + 3*p**3 + 3*p**5 + 0*p**3.
3*p**3*(p - 1)*(p + 1)
Let u be (-2)/(-3) - (-21)/9. Let -u + 4*g + 0 + 2*g**2 + 5 = 0. Calculate g.
-1
Let w(k) = -3*k**3 + 29*k**2 - 29*k + 13. Let y(z) = 4*z**3 - 44*z**2 + 44*z - 20. Let a(b) = -8*w(b) - 5*y(b). What is d in a(d) = 0?
1
Suppose 0 = q - f, -6*q + 4*f - 9 = -5*q. Let t(u) be the second derivative of 3*u - 1/6*u**q - 1/12*u**4 + 0 + u**2. Suppose t(o) = 0. Calculate o.
-2, 1
Find f such that -2/11*f - 10/11*f**2 - 14/11*f**3 + 0 - 6/11*f**4 = 0.
-1, -1/3, 0
Let f be ((-26)/(-6) - 3*1)/1. Factor 14/3*r**2 + 0 + f*r.
2*r*(7*r + 2)/3
Suppose -x**2 - 9 - x - 2*x + 0*x - 3*x = 0. What is x?
-3
Let q(d) = -2*d**3 - 4*d**2 + 4. Let x(k) = k**4 + 11*k**3 + 20*k**2 - 21. Let z(w) = 22*q(w) + 4*x(w). Solve z(o) = 0 for o.
-1, 1
Suppose 8*z - 14*z = -18. Factor -11*c**2 - 16/3*c**4 - 10/3*c - 1/3 - 40/3*c**z.
-(c + 1)**2*(4*c + 1)**2/3
Suppose -13 = -5*o + z - 8, 0 = 3*o - 4*z + 14. Let l be (-4)/6*5*-2. Factor 23/3*t**o - l*t - 7/3*t**3 + 4/3.
-(t - 2)*(t - 1)*(7*t - 2)/3
Determine a so that -1/5 + 4/5*a - 6/5*a**2 - 1/5*a**4 + 4/5*a**3 = 0.
1
Let y = 16 - 13. Let -p**2 - p**3 + p**4 - 2*p**y - 46*p + 49*p = 0. Calculate p.
-1, 0, 1, 3
Let b(a) be the first derivative of 4 + 0*a - 2/9*a**2 + 2/3*a**3. Determine t, given that b(t) = 0.
0, 2/9
Let k = 9 - 6. Let g be k/(5/((-20)/(-6))). Factor 10*b**3 + 4*b - 9*b**g + 3*b**2 - 8*b**2.
2*b*(b - 1)*(5*b - 2)
Let z(k) = 3*k**2 + k. Suppose 2*j + 4*s = 10, 0*j + 2*s + 1 = 5*j. Let g(b) = -b**2 - 1. Let h(d) = j*z(d) + 2*g(d). Factor h(v).
(v - 1)*(v + 2)
Let i(p) be the second derivative of p**5/30 + p**4/18 + p. Determine c so that i(c) = 0.
-1, 0
Suppose 23 = -0*j + 5*j + o, 0 = 4*j - 4*o - 4. Let i be j/(-7)*21/(-6). Find q such that q**i - 2*q**2 + 2*q**2 = 0.
0
Suppose -5*d + 11 + 14 = -4*a, -3*a = d - 5. Let c be (6/15)/(1/d). Factor c*o**2 - 4*o**2 + 0*o**2 - 2*o.
-2*o*(o + 1)
Let q(d) be the first derivative of 9*d**4/8 + d**3/3 - 9*d**2/4 - d + 18. Factor q(t).
(t - 1)*(t + 1)*(9*t + 2)/2
Let i(j) be the third derivative of 2*j**7/105 + j**6/10 - 2*j**4/3 - 12*j**2. Factor i(f).
4*f*(f - 1)*(f + 2)**2
Suppose x - 8 = -5*r, -3*x + 8 = -1. Let i be (r - -2)*(-3 - -4). Solve 7*m**5 + 5/2*m + 1 - 19/2*m**i - 13/2*m**2 + 11/2*m**4 = 0 for m.
-1, -2/7, 1/2, 1
Let b be ((-21)/6)/((-4)/8). Factor b*o**2 + 11*o - 17*o + 3*o**2 - 4.
2*(o - 1)*(5*o + 2)
Let l(q) be the first derivative of q**4/12 + 3*q**3 + 81*q**2/2 + 243*q - 39. Solve l(r) = 0 for r.
-9
Factor -2/11*u**4 - 6/11*u**3 + 8/11*u + 0*u**2 + 0.
-2*u*(u - 1)*(u + 2)**2/11
Let f(z) be the first derivative of 4 + 1/3*z**2 + 1/2*z**4 + 0*z - 2/15*z**5 - 2/3*z**3. Factor f(t).
-2*t*(t - 1)**3/3
Let d(r) be the first derivative of -r**4/54 - 2*r + 5. Let m(u) be the first derivative of d(u). Factor m(i).
-2*i**2/9
Suppose -4*b = -2*b + 5*w + 2, 18 = 4*b - w. Suppose s + b = 3*s. Factor -3*x**5 + 0*x**5 + s*x**5.
-x**5
Suppose r = 6*r - q - 20, -2*r + 4*q + 8 = 0. Factor 2*t**5 + 3*t + 3*t**3 + 2*t**4 - t - 4*t**2 + 2 - 3*t**3 - r*t**3.
2*(t - 1)**2*(t + 1)**3
Let d(t) be the first derivative of -t**6/120 + t**5/80 + 8*t - 5. Let c(h) be the first derivative of d(h). Suppose c(w) = 0. What is w?
0, 1
Let g = 5 + -3. Factor 2*m**g + 3 - 20*m + 14*m + 1.
2*(m - 2)*(m - 1)
Factor 14*b**2 + b**4 - 30*b**2 + 9*b**2 - 3*b**3 + 9*b**2.
b**2*(b - 2)*(b - 1)
Suppose 10 = -3*q + 4*h, -5*h = 3*q - 5*q - 16. Solve -1/2*v**q + 0 - 1/4*v + 1/2*v**4 + 0*v**3 + 1/4*v**5 = 0 for v.
-1, 0, 1
Let j(z) be the third derivative of z**8/336 + z**7/105 + z**6/120 - 6*z**2. Factor j(q).
q**3*(q + 1)**2
Suppose 0*n = 3*n - 3. Let z be ((-8)/64)/(n/(-6)). Suppose z*q**2 + 0*q - 3/4 = 0. Calculate q.
-1, 1
Let o be -1*5/(-5) - -1. Solve 0*p - 3/2 + 3/2*p**o = 0.
-1, 1
Let i(m) be the third derivative of -m**8/1680 + m**7/420 - m**5/60 + m**4/24 - 5*m**3/6 + 3*m**2. Let b(h) be the first derivative of i(h). Factor b(z).
-(z - 1)**3*(z + 1)
Let k(i) be the second derivative of 0*i**4 + 0*i**2 + 0*i**3 + 1/40*i**5 - i - 1/60*i**6 + 0. Factor k(h).
-h**3*(h - 1)/2
Let h(z) be the first derivative of -3*z**4/4 + z**3 + 15*z**2/2 + 9*z - 6. Factor h(q).
-3*(q - 3)*(q + 1)**2
Let w(b) = b + 1. Let p(n) = -4*n + 7. Let c(s) = p(s) + 3*w(s). Let u be c(7). Determine y so that -2/5*y**4 - 2/5 - 8/5*y**u - 8/5*y - 12/5*y**2 = 0.
-1
Let i(j) = j**5 + j**4 - j - 1. Let q(v) = 6*v**5 + 8*v**4 + 4*v**3 - 10*v - 8. Suppose 17 + 7 = 3*n. Let m(l) = n*i(l) - q(l). Find f such that m(f) = 0.
-1, 0, 1
Let z(x) be the second derivative of x**6/10 - 3*x**4/4 + x**3 + 20*x. Factor z(k).
3*k*(k - 1)**2*(k + 2)
Let l be (20/75)/(6/15). Fact