 -i**3 + i**2 + i + 1. Let l(w) = -4*w**3 - 4*w**2 + 32*w - 22. Let f(j) = u*q(j) + l(j). Factor f(z).
(z - 3)**3
Let t(z) = 11*z**2 - 11*z + 20. Let a(v) = -7*v**2 + 7*v - 13. Let p(c) = -8*a(c) - 5*t(c). Let x be p(0). Factor 0 + 10/7*j**x + 16/7*j**3 - 4/7*j + 2/7*j**2.
2*j*(j + 1)**2*(5*j - 2)/7
Let d be ((-1)/(-3))/(4/3). Let y(o) = -o**2 - 2*o + 4. Let i be y(0). Factor 1/4*s**i + 3/4*s**2 - 3/4*s**3 - d*s + 0.
s*(s - 1)**3/4
Let v = 45 - 45. Let 0*d + 0*d**2 + v - 2*d**4 + 4/7*d**3 = 0. What is d?
0, 2/7
Let d be 2/(1*6)*1. Let z be 7 + (-82)/12 - (-2)/12. Factor 1/3*l**2 - 1/3*l + z*l**3 - d.
(l - 1)*(l + 1)**2/3
Let a(w) be the second derivative of -4*w**7/189 + 8*w**6/135 - w**5/18 + w**4/54 - w. Factor a(t).
-2*t**2*(t - 1)*(2*t - 1)**2/9
Let c be 1*3 + (-35)/5. Let n(x) = 8*x**4 + 6*x**3 - 6*x**2 - 4. Let d(q) = q**2 + 1. Let t(a) = c*d(a) - n(a). Factor t(g).
-2*g**2*(g + 1)*(4*g - 1)
Factor 2*u**5 - 9*u**4 + 522*u + 291*u**3 - 596*u**2 - 15*u**3 - 33*u**4 - 162.
2*(u - 9)**2*(u - 1)**3
Let u(q) be the first derivative of 7/2*q**2 + 1 + 3*q**3 + 2*q + 1/5*q**5 + 5/4*q**4. Let u(i) = 0. Calculate i.
-2, -1
Factor 17*v**2 - 4*v**4 - v**2 - 23*v**3 + 11*v**3.
-4*v**2*(v - 1)*(v + 4)
Let g(f) = -4*f - 14. Let p be g(-4). Find i, given that 5/2*i - 1/2 - p*i**2 = 0.
1/4, 1
Suppose 3*t - 3 = -15. Let h be (t/(-3))/(18/27). Factor 2/7*x**h - 8/7*x + 8/7*x**3 - 2/7.
2*(x - 1)*(x + 1)*(4*x + 1)/7
Let j(w) = w + 2. Let p be j(-2). Factor -3*q**3 + 3*q**5 + 0*q**5 + p*q**3.
3*q**3*(q - 1)*(q + 1)
Factor 8*y**2 - 12 + 0*y**2 - 2*y**2 - 2*y**2 - 8*y.
4*(y - 3)*(y + 1)
Let y(p) be the third derivative of p**4/24 + 2*p**3/3 + 2*p**2. Let u be y(0). Factor -v**2 - 2*v**4 + 2*v**4 - 3*v**u + 3*v**3 + 2*v**5 - v**5.
v**2*(v - 1)**3
Let z(w) = -w**2 - w + 1. Let k(n) = 42*n**2 + 25*n - 15. Let b(c) = -k(c) + 2*z(c). Let a(h) = -15*h**2 - 9*h + 6. Let x(p) = 8*a(p) - 3*b(p). Factor x(m).
3*(m + 1)*(4*m - 1)
Let z = 3665/16 + -229. Let k(f) be the second derivative of 0 - z*f**4 + 0*f**2 + 1/80*f**5 + 1/12*f**3 + f. Factor k(l).
l*(l - 2)*(l - 1)/4
Let q(v) be the second derivative of v**4/20 + 3*v**3/5 + 27*v**2/10 - 8*v. Suppose q(z) = 0. What is z?
-3
Let u be (2 - 26/7)*(-42)/27. Let 2/3*d**5 - u*d**2 - 8/3*d**4 + 2/3*d + 4*d**3 + 0 = 0. Calculate d.
0, 1
Let l(z) be the third derivative of z**5/60 + z**4/24 - 2*z**3/3 + 2*z**2. Let d be l(-3). Factor 0 + 0*o + 2/3*o**4 + 2/3*o**5 + 0*o**d + 0*o**3.
2*o**4*(o + 1)/3
Let i(k) be the second derivative of k**9/75600 - k**8/33600 - 5*k**4/12 + 2*k. Let o(j) be the third derivative of i(j). Suppose o(u) = 0. What is u?
0, 1
Let s = 139 - 1945/14. Let n(r) be the first derivative of -1 + 0*r - s*r**4 + 1/7*r**2 - 2/21*r**3 + 2/35*r**5. Factor n(v).
2*v*(v - 1)**2*(v + 1)/7
Let d = 137/4 - 34. Determine j, given that d*j**3 + 0*j**2 - 1/4*j + 0 = 0.
-1, 0, 1
Let u(r) be the third derivative of r**8/55440 + r**7/9240 + r**6/3960 - r**5/60 - 3*r**2. Let c(i) be the third derivative of u(i). Factor c(a).
2*(a + 1)*(2*a + 1)/11
Let u(w) be the first derivative of w**5/180 - w**3/18 - 3*w**2/2 + 3. Let i(x) be the second derivative of u(x). Suppose i(v) = 0. Calculate v.
-1, 1
Let y(c) be the third derivative of -1/24*c**6 + 0*c + 1/12*c**4 + 0 + 0*c**3 + 1/20*c**5 + 9*c**2. Let y(z) = 0. What is z?
-2/5, 0, 1
Let m(f) be the first derivative of f**6/33 - 8*f**5/55 + 5*f**4/22 - 4*f**3/33 + 14. Suppose m(n) = 0. What is n?
0, 1, 2
Factor -1/2*c**2 + c - 3/2*c**3 + 0.
-c*(c + 1)*(3*c - 2)/2
Let y be -2 - -14 - (-2 + 1). What is u in -u - 20*u**3 - 36*u**2 + y*u - u**3 = 0?
-2, 0, 2/7
Let z = 62/35 + -11/7. Suppose 1/5*p - 1/5*p**3 - 1/5*p**2 + z*p**4 + 0 = 0. What is p?
-1, 0, 1
Let i(f) be the first derivative of -f**6/10 - 3*f**5/25 + 3*f**4/20 + f**3/5 - 7. Factor i(g).
-3*g**2*(g - 1)*(g + 1)**2/5
Let g be (-30)/(-8) - -2*(-1)/(-8). Let l(n) be the third derivative of 0*n**3 - 1/12*n**g + 0*n - 2*n**2 - 1/30*n**5 + 0. Factor l(s).
-2*s*(s + 1)
Let m(y) = -12*y**3 + 8*y**2 - 8*y - 2. Let k(p) = -p**3 + p**2 - p. Let q(r) = -28*k(r) + 2*m(r). What is f in q(f) = 0?
1
Factor -7 - 9 + 116*x**2 - 120*x**2 + 16*x.
-4*(x - 2)**2
Let z(d) be the third derivative of -d**8/84 + d**6/15 - d**4/6 - 9*d**2. Factor z(b).
-4*b*(b - 1)**2*(b + 1)**2
Let x(p) be the second derivative of 0*p**2 + 1/24*p**3 + p + 0 + 1/48*p**4. What is u in x(u) = 0?
-1, 0
Factor 0*x**2 + 36*x**2 - 3*x**5 + 18*x**4 + 31*x**3 - 12*x - 70*x**3.
-3*x*(x - 2)**2*(x - 1)**2
Let q(k) be the third derivative of -1/6*k**4 - 1/3*k**3 + 0 + k**2 - 1/30*k**5 + 0*k. Factor q(u).
-2*(u + 1)**2
Let c(j) = 9*j**4 + 6*j**3 + 6*j + 9. Let n(p) = p + 8*p**4 + 11 + p + 5*p**3 - 3 - p**2 + 3*p. Let k(f) = -5*c(f) + 6*n(f). Let k(v) = 0. What is v?
-1, 1
Let n be (-4 - -6)*(1 + 1). What is y in 1 - 2 + 2*y**4 + 4*y - n*y**3 - 1 = 0?
-1, 1
Determine w so that 2*w**2 - 10/7*w - 4/7 = 0.
-2/7, 1
Let l be ((-8)/(-12))/((-1)/(-6)). Solve 3 + 0*g + g**2 + l - 6 + 2*g = 0 for g.
-1
Let t = -124 + 2487/20. Let l = t + -1/60. Suppose 2/3*b + l + 1/3*b**2 = 0. Calculate b.
-1
Let h be (2/6)/(3/27). Let p(z) be the third derivative of -1/30*z**5 + 0*z + z**2 + 1/12*z**4 + 0*z**h + 0. Factor p(r).
-2*r*(r - 1)
Factor 7*z**2 - 8*z + 5*z + 0*z - 2*z**2.
z*(5*z - 3)
Let o(w) = -2*w - 8. Let h be o(-6). Let j(y) be the third derivative of 0*y - 1/48*y**h + 0 + 1/240*y**5 + 1/24*y**3 + 2*y**2. Factor j(r).
(r - 1)**2/4
Solve -18/7*q**4 - 12/7*q - 36/7*q**2 + 0 - 3/7*q**5 - 39/7*q**3 = 0.
-2, -1, 0
Let d(q) be the first derivative of q**5/240 - q**4/32 + q**3/12 + 5*q**2/2 + 1. Let y(i) be the second derivative of d(i). Factor y(o).
(o - 2)*(o - 1)/4
Suppose 4*k - 4 = -3*s + 1, 5*s - 5*k - 20 = 0. Let l be s - ((-8)/6 + 4). Factor 1/3*z**3 - 1/3*z + 1/3*z**2 - l.
(z - 1)*(z + 1)**2/3
Let q be -1 + 2 - (-2097)/(-2088). Let f = q + 935/1624. What is p in -2/7 - 2/7*p**2 - f*p = 0?
-1
Let z(v) = -6*v**3 - 6*v**2 + 11*v. Let g(n) = -n**3 - n**2 + 2*n. Let a(i) = 11*g(i) - 2*z(i). Factor a(d).
d**2*(d + 1)
Let b(a) be the third derivative of -a**6/40 + 3*a**5/20 + 9*a**4/8 + 5*a**3/2 - 33*a**2. What is s in b(s) = 0?
-1, 5
Let n = -13/5 + 121/10. Let r = -9 + n. Factor r*q - 1/2*q**2 + 0.
-q*(q - 1)/2
Let w(t) be the third derivative of -t**5/105 - 5*t**4/21 - 50*t**3/21 + 10*t**2. Factor w(v).
-4*(v + 5)**2/7
Let y be (-10)/(-4) - (37 - 36). Factor -y*g**2 - 1/2*g**3 + 0 - g.
-g*(g + 1)*(g + 2)/2
Let t = 146/7 - 20. Factor t*p**2 + 0*p - 8/7 - 2/7*p**3.
-2*(p - 2)**2*(p + 1)/7
Let j(b) be the second derivative of -b**7/168 + b**6/24 - 7*b**5/80 - b**4/48 + b**3/3 - b**2/2 + 17*b. Find m such that j(m) = 0.
-1, 1, 2
Determine u, given that -5*u**2 + 5*u**2 + u**3 + 12*u**2 - 5*u**3 = 0.
0, 3
Let y(j) = 8 + 6*j**2 + 12*j + 6*j + 4. Let t(z) = -2*z**2 - 6*z - 4. Let h(a) = 11*t(a) + 4*y(a). Factor h(o).
2*(o + 1)*(o + 2)
Let b(v) be the third derivative of -v**6/20 - 9*v**5/20 - 3*v**4/2 - 2*v**3 + 3*v**2. What is f in b(f) = 0?
-2, -1/2
Let x be ((-9)/(-5) + -1)*(-15)/(-6). Factor 1/2*o**3 + 1/2*o - o**x + 0.
o*(o - 1)**2/2
Let q be 64/24 + 2*-1. Factor -1/3*t**5 + 0 + 1/3*t - 2/3*t**4 + 0*t**3 + q*t**2.
-t*(t - 1)*(t + 1)**3/3
Let j(r) be the second derivative of r**5/10 - r**4/2 + 2*r**3/3 + 6*r. Factor j(c).
2*c*(c - 2)*(c - 1)
Factor 276 + 5*t**2 - 276 - 15*t.
5*t*(t - 3)
Let t = -23 + 28. Let w = -3 + t. Factor -6/7*c**3 + 0*c + 4/7*c**w + 0.
-2*c**2*(3*c - 2)/7
Factor 14/5*a**2 - 102/5*a + 28/5.
2*(a - 7)*(7*a - 2)/5
Let g be (12/(-14))/((-4)/(-56)). Let p = 38/3 + g. What is l in 0 + p*l - 4/3*l**2 + 2/3*l**3 = 0?
0, 1
Let l(m) be the third derivative of -3*m**8/1288 + 38*m**7/2415 - 7*m**6/276 - m**5/23 + 11*m**4/69 - 8*m**3/69 - 6*m**2. Let l(k) = 0. Calculate k.
-1, 2/9, 1, 2
Let o(z) be the first derivative of -39*z**4/4 + 24*z**3 - 27*z**2/2 - 6*z + 7. Factor o(d).
-3*(d - 1)**2*(13*d + 2)
Factor 0*k + 2/11*k**2 - 2/11.
2*(k - 1)*(k + 1)/11
Factor 1/2 - h + 1/2*h**2.
(h - 1)**2/2
Let b = 32 + -30. Let u(m) be the third derivative of 1/840*m**8 + 0 + 1/75*m**5 + 0*m + b*m**2 + 1/60*m**4 - 1/15*m**3 - 1/150*m**6 - 1/525*m**7. Factor u(n).
2*(n - 1)**3*(n + 1)**2/5
Suppose -65 + 187 = 61*x. Let o**x - o**4 - 3/2*o**5 - 1/2*o + 0 + 2*o**3 = 0. Calculate o.
-1, 0, 1/3, 1
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