 of -z**4/6 + z**2 - z - 28. Suppose k(i) = 0. Calculate i.
-1, 1
Let i(h) = -h**2 - 9*h - 7. Let a be i(-6). Suppose -1 = 5*l - a. Factor 1 + 1/4*w**l + w.
(w + 2)**2/4
Let w be (7/(-42) + 13/(-30))*-5. Factor -4/5*d - 2*d**2 + 0 - 6/5*d**w.
-2*d*(d + 1)*(3*d + 2)/5
Let c(a) be the second derivative of -1/10*a**5 - 3/10*a**6 + 1/2*a**2 - 2/21*a**7 - 2*a + 2/3*a**4 + a**3 + 0. Let c(p) = 0. Calculate p.
-1, -1/4, 1
Let u(n) be the first derivative of 5 + 0*n**2 + 1/3*n - 1/9*n**3. Solve u(p) = 0 for p.
-1, 1
Let k = 31 - 20. Let z = k - 9. Factor f**2 - 4*f**2 + 4*f**z - 2*f**2 + f.
-f*(f - 1)
Let x = 136 - 539/4. Factor 1/2*a**2 + 5/4*a**3 - x*a - 1/2.
(a - 1)*(a + 1)*(5*a + 2)/4
Factor 0*h**4 - 2 + 10*h**2 - 3 - 6*h**4 + h**4.
-5*(h - 1)**2*(h + 1)**2
Let i = -31/12 - -17/6. Suppose r**2 - 5/4*r - i*r**3 + 1/2 = 0. Calculate r.
1, 2
Let s(i) be the third derivative of 5*i**8/336 - i**7/42 - i**6/12 + 19*i**2. Find h such that s(h) = 0.
-1, 0, 2
Let l(w) be the third derivative of 7*w**6/180 - 8*w**5/45 - 13*w**4/9 + 16*w**3/9 + 53*w**2. Determine q, given that l(q) = 0.
-2, 2/7, 4
Let j(s) = -s**2 + 6*s - 6. Let a be j(4). Suppose 5*d + 4*h - 3*h - 17 = 0, 3*d + h - 9 = 0. Factor k**d + 2*k**3 - k**4 - 4*k**3 + k**a + k**4.
k**2*(k - 1)**2
Let k = -129 - -131. Suppose 2*h + u + 4 = 3, 5*h = 2*u + 2. Factor h + 0*x - 1/4*x**3 - 1/4*x**k.
-x**2*(x + 1)/4
Let k be (-12)/(-16) + -34*(-2)/(-176). What is g in -2/11*g - 76/11*g**2 + k - 70/11*g**3 = 0?
-1, -2/7, 1/5
Let x be 7/30 - (135/50)/27. Factor -2/15*m + 0*m**2 + x*m**3 + 0.
2*m*(m - 1)*(m + 1)/15
Let x = -4/283 - -9634/849. Solve 4/3 - 1/3*a**2 - 7*a**4 + 16/3*a - x*a**3 = 0.
-1, -2/7, 2/3
Let n(z) be the second derivative of z**6/90 - z**5/20 + z**4/36 + z**3/6 - z**2/3 - 3*z. Factor n(h).
(h - 2)*(h - 1)**2*(h + 1)/3
Let i = 19 - 6. Suppose -22 = -3*g + 5*d - 8, 0 = 3*g - 4*d - i. Find k, given that -6*k**2 + 4 + k**g - 2*k + 5*k**3 - 2*k**2 = 0.
-2/3, 1
Suppose 15*p + 26 - 71 = 0. Suppose -2/3*j**p - 2/3*j**2 + 0 + 0*j = 0. Calculate j.
-1, 0
Let w(k) be the second derivative of k**6/75 - k**5/10 + 3*k**4/10 - 7*k**3/15 + 2*k**2/5 - 30*k. Factor w(u).
2*(u - 2)*(u - 1)**3/5
Let z(b) = -b**4 - b**3 + b + 1. Let l(s) = -6*s**4 - 10*s**3 - 9*s**2 - 2*s + 3. Let a(v) = -l(v) + 5*z(v). Factor a(k).
(k + 1)**3*(k + 2)
Let z be 12/(-9)*(-6)/(-4). Let p be 6/16*z/(-3). Solve -t**4 + 5/4*t**2 + 3/4*t - 3/4*t**3 - p = 0.
-1, 1/4, 1
Let a be (-68)/12 + 1/(-3). Let g = -4 - a. Determine u, given that -g*u**2 - 4*u + 0*u - 2 - 2 + 2 = 0.
-1
Factor -5 + 5*h - 7*h + 2*h + 5*h**2.
5*(h - 1)*(h + 1)
Let m(d) = d**4 - 4*d**3 - 5*d - 5. Let a(v) = 2*v**3 + 2*v + 2. Let t(z) = -5*a(z) - 2*m(z). Let t(y) = 0. Calculate y.
-1, 0
Let j be -2*((-12)/(-8))/(-1). Factor 0 + 10/13*g**2 + 8/13*g**j + 2/13*g.
2*g*(g + 1)*(4*g + 1)/13
Suppose 18*x = 12 + 24. Factor -1/2*g**x - 1/2*g + 1.
-(g - 1)*(g + 2)/2
Solve -2*c**2 + 2*c**4 - 4*c**3 + 9*c**3 + 3*c**5 - 8*c**5 = 0.
-1, 0, 2/5, 1
Let n = 830 - 4961/6. Let r(c) be the first derivative of 16/3*c**2 + 1/9*c**6 - 50/9*c**3 - 14/15*c**5 - 8/3*c + n*c**4 - 1. Find s, given that r(s) = 0.
1, 2
Let v(r) be the first derivative of r**4 - 8*r**3/3 + 2*r**2 + 8. Determine u so that v(u) = 0.
0, 1
Let h be 3/(-9) - (-11)/15. Let g = -124/5 + 26. Factor 6/5*k + g*k**2 + h*k**3 + 2/5.
2*(k + 1)**3/5
Determine q, given that 0*q + 3/5*q**4 + 3/5*q**2 + 0 - 6/5*q**3 = 0.
0, 1
Factor -g**3 - 3*g**4 - 9*g + 8*g**3 + 2*g**3 + 3*g**2.
-3*g*(g - 3)*(g - 1)*(g + 1)
Suppose 0 = 6*f - 3*f - 9. Suppose -w - 3*w - 8 = 0, 0 = -j - 3*w - f. Let 1/4*c**2 - 1/4*c**j + 0 + 0*c = 0. What is c?
0, 1
Let v(w) be the second derivative of -4/3*w**2 - 1/18*w**4 + 3*w + 4/9*w**3 + 0. Factor v(i).
-2*(i - 2)**2/3
Let -4/9*b - 2/9 - 2/9*b**2 = 0. What is b?
-1
Factor 0*j**2 + 0 + 4/9*j**4 + 0*j + 2/9*j**5 + 2/9*j**3.
2*j**3*(j + 1)**2/9
Let h(f) be the second derivative of f**7/1260 - f**6/360 - f**4/3 + 3*f. Let p(v) be the third derivative of h(v). Factor p(i).
2*i*(i - 1)
Let w(b) be the third derivative of b**6/60 + b**5/12 + b**4/6 + b**3/3 + b**2. Let s(k) be the first derivative of w(k). Suppose s(c) = 0. Calculate c.
-1, -2/3
Let z(x) be the first derivative of 0*x**2 - 1/9*x**3 + 3 + 1/3*x. Factor z(a).
-(a - 1)*(a + 1)/3
Let p be (-210)/(-66) - 1/(-22)*-4. Let 1/3*u**4 + 0*u**2 - 1/3 + 2/3*u**p - 2/3*u = 0. What is u?
-1, 1
Solve 2*c + 2*c**3 - 4/3 + 16/3*c**2 = 0 for c.
-2, -1, 1/3
Let v(x) = -11*x + 55. Let h be v(5). What is z in h*z - 2/5*z**2 + 2/5*z**3 + 2/5*z**4 - 2/5*z**5 + 0 = 0?
-1, 0, 1
Suppose -3*r = 12, 4*o + r - 8 = -0. Factor 68 - i**5 + o*i**4 - 3*i**3 - 68 + i**2.
-i**2*(i - 1)**3
Factor 18 + 2*c**3 + 4*c**2 + 24*c + 11*c**2 - 6 + c**3.
3*(c + 1)*(c + 2)**2
Let h(t) = t**3 + t + 2*t**3 - 2*t**3 - 3*t**2 - 1 + 2*t**2. Let g(y) = -3*y**4 + 3*y**3 - 21*y**2 + 9*y - 12. Let i(d) = g(d) - 12*h(d). Factor i(o).
-3*o*(o + 1)**3
Let n(i) be the third derivative of 0 + 0*i - 1/270*i**5 + 0*i**3 + i**2 - 1/108*i**4. Suppose n(r) = 0. Calculate r.
-1, 0
Factor 31*w**3 - 10*w**3 - 7*w + 0*w**2 + 15*w**2 + w.
3*w*(w + 1)*(7*w - 2)
Factor -2*z - 27*z**3 + 21*z**3 + 2*z**4 + 0*z**4 + 6*z**2.
2*z*(z - 1)**3
Factor 1/4*b**2 - 3/2*b + 9/4.
(b - 3)**2/4
Let x = 334 + -331. Determine q so that 1 - 2*q - 1/4*q**x + 5/4*q**2 = 0.
1, 2
Let f(i) be the third derivative of -i**7/126 + i**6/12 - 13*i**5/36 + 5*i**4/6 - 10*i**3/9 - 18*i**2. Find j, given that f(j) = 0.
1, 2
Let f = -6 - -11. Let u = f - 3. Factor 0*a**u + 0 - 1 - a**2 - 2*a.
-(a + 1)**2
Let x(t) be the second derivative of t**6/120 + t**5/20 - t**4/16 - 7*t**3/12 - t**2 - 2*t - 7. Let x(b) = 0. What is b?
-4, -1, 2
Suppose -28 = -5*o + 2. Suppose 6 = -2*v, 3*t - v + o = -5*v. Factor 0 - 2*c**3 + t*c**2 + 0.
-2*c**2*(c - 1)
Let k(g) be the second derivative of -g**5/2 - 3*g**4 - 3*g**3 + 4*g - 1. Determine h so that k(h) = 0.
-3, -3/5, 0
Let g(i) be the third derivative of i**10/4320 + i**9/1260 + i**8/2240 - i**7/1260 + i**4/12 + 3*i**2. Let k(p) be the second derivative of g(p). Factor k(r).
r**2*(r + 1)**2*(7*r - 2)
Let n(f) = f**2 + 7*f - 8. Let a(v) = -v**2 - 6*v + 7. Let k(i) = -5*a(i) - 4*n(i). Factor k(q).
(q - 1)*(q + 3)
Let h(v) be the second derivative of -v**3/3 - v**2 - 5*v. Let b be h(-2). Factor 1/2*g**b + g + 1/2.
(g + 1)**2/2
Let y(i) be the first derivative of i**3/6 - i**2/2 - 30. Factor y(s).
s*(s - 2)/2
Let r(m) be the first derivative of m**7/4200 - m**6/900 + m**5/600 + m**3/3 - 3. Let d(a) be the third derivative of r(a). Factor d(o).
o*(o - 1)**2/5
Suppose -4*i = 20, -3*i + 8 = 3*s + 29. Let j(q) = q**3 + 3*q**2 + 2*q. Let w be j(s). Solve -1/3*b**3 + 0*b - 1/3*b**4 + w + 0*b**2 = 0.
-1, 0
Let n(i) = -11*i**4 + 23*i**3 + 17*i**2 + i + 2. Let h(w) = -w**4 + w**3 - w + 1. Let r(c) = 6*h(c) - 3*n(c). Solve r(q) = 0.
-1/3, 0, 3
Let s = -653/1254960 + 5/4482. Let a(r) be the third derivative of -r**2 + 0*r**3 + 0*r**5 + 0 + 0*r - 1/600*r**6 + 0*r**4 - s*r**8 - 1/525*r**7. Factor a(q).
-q**3*(q + 1)**2/5
Let j be (-2)/12 - 39/(-18). Factor 2*s**3 + 0 + 4*s**2 - 2*s - 8*s**j + 4.
2*(s - 2)*(s - 1)*(s + 1)
Let k be (-16)/(-72)*(-6)/(-16). Let w(j) be the first derivative of k*j**3 + 1 - 1/4*j + 0*j**2. Factor w(o).
(o - 1)*(o + 1)/4
Let o = -6 - -73/12. Let z(y) be the first derivative of -1/4*y**2 - o*y**3 - 1/4*y - 3. Suppose z(j) = 0. What is j?
-1
Let u(o) be the third derivative of -9*o**8/112 - 8*o**7/35 + o**6/10 - o**2. Factor u(g).
-3*g**3*(g + 2)*(9*g - 2)
Let f(t) = 15*t**4 - 10*t**3 + 6*t**2 + 11. Let o = -1 - 1. Let b(l) = 3*l**4 - 2*l**3 - 2 + 2 + 2 + l**2. Let j(c) = o*f(c) + 11*b(c). Factor j(z).
z**2*(z - 1)*(3*z + 1)
Let g(k) = -k**2 + k - 1. Let d(h) be the second derivative of -5*h**4/6 + h**3 - 4*h**2 - 4*h. Let l(m) = d(m) - 8*g(m). Find v such that l(v) = 0.
-1, 0
Let g(n) be the third derivative of 8*n**6/25 - 12*n**5/25 + 3*n**4/10 - n**3/10 + 8*n**2. Factor g(z).
3*(4*z - 1)**3/5
Let k be (-1 - 12/(-10)) + 20/100. Factor -2/5*b**2 + 0 - k*b.
-2*b*(b + 1)/5
Factor -10/7 + 8/7*m + 2/7*m**2.
2*(m - 1)*(m + 5)/7
Let o(k) be the third derivative of k**7/210 + k**6/30 + k**5/10 + k**4/6 + k**3/6 + 11*k**2. Factor o(v).
(v + 1)**4
Let w = 215 - 638/3. Let t = -5/3 + w. Factor 2/3*a**2 - 2/3*a + t*