*2 - 8. Let y(b) = g(b) + 6*x(b). Factor y(d).
2*(d - 1)*(d + 1)**4
Factor -5*t + 1 + 2*t**2 - 2*t + 2 + 0*t.
(t - 3)*(2*t - 1)
Let a(v) be the third derivative of v**6/24 - 5*v**4/24 - 9*v**2. Factor a(d).
5*d*(d - 1)*(d + 1)
Let k(t) be the third derivative of t**6/720 - t**5/180 - t**4/144 + t**3/18 + 10*t**2. Suppose k(f) = 0. Calculate f.
-1, 1, 2
Let q(x) = -5*x**2 - 5*x. Let g be q(-1). Factor 0 - 25/4*i**4 + 0*i**3 + g*i + i**2.
-i**2*(5*i - 2)*(5*i + 2)/4
Let n(w) be the second derivative of 5*w**4/36 + 25*w**3/18 + 10*w**2/3 + 10*w. Solve n(r) = 0.
-4, -1
Let s(q) = -q - 18. Let n be s(-11). Let p be n/((-1155)/18)*5. Determine u, given that 16/11*u**2 + 36/11*u**4 - 10/11*u**5 - 4/11 + p*u - 4*u**3 = 0.
-2/5, 1
Let h be (-8)/36 - (-76)/18. Suppose -h*w - 5 = -9*w. Determine g so that 1 + g**2 - w = 0.
0
Factor -7*l - 4*l**2 - 4 - 8 + 0 - 9*l.
-4*(l + 1)*(l + 3)
Let r(o) = -2*o - 5 + 4*o + 0*o. Let j be r(4). Factor -8/3*d + 2*d**2 - 8/3 - 2/3*d**4 + 4/3*d**j.
-2*(d - 2)**2*(d + 1)**2/3
Let u be ((-16)/126)/2 - 2/(-7). Find c such that -2/9 - u*c**4 - 8/9*c - 4/3*c**2 - 8/9*c**3 = 0.
-1
Determine w so that 15*w - 14*w**3 + 4*w**2 + 0*w**2 - 6*w**3 + 5*w - 4*w**4 = 0.
-5, -1, 0, 1
Let c be -2 - ((-1)/1 - -10). Let k = c - -17. Factor 2*m - 8 - 7*m - k*m**2 - 5*m - 6*m.
-2*(m + 2)*(3*m + 2)
Let y(x) be the first derivative of x**5/5 + x**4/2 + x**3/3 + 4. Factor y(t).
t**2*(t + 1)**2
Factor -14*u**2 + 17*u**2 - 7*u + 6 - 6*u**2 + 4*u**2.
(u - 6)*(u - 1)
Let d = -14 - -17. Let z = -2/157 + 167/785. Factor 0*r**2 + z*r**4 - 2/5*r**d - 1/5 + 2/5*r.
(r - 1)**3*(r + 1)/5
Suppose -3*y + 6 + 0 = 0. Factor 0*q + q + 2*q**2 - q - y.
2*(q - 1)*(q + 1)
Let t = -3041/1348 + 2/337. Let n = 53/20 + t. Factor -n*m**5 + 2*m**4 - 4/5*m + 14/5*m**2 + 0 - 18/5*m**3.
-2*m*(m - 2)*(m - 1)**3/5
Factor -9/5*j + 0*j**2 + 6/5 + 3/5*j**3.
3*(j - 1)**2*(j + 2)/5
Let j(a) = -a + 4. Let t be j(2). Let x(c) be the second derivative of -8/3*c**4 - c + 0 - c**t + 8/3*c**3. Factor x(q).
-2*(4*q - 1)**2
Let i(y) be the third derivative of 0*y - 46/105*y**7 + 0 + 5/12*y**4 - 2/5*y**5 - 5/56*y**8 + 2/3*y**3 - 23/30*y**6 + 2*y**2. Let i(k) = 0. What is k?
-1, -2/5, 1/3
Let c be (-9)/11 + 1 + (-672)/(-1386). Let z(i) be the first derivative of 1 + 1/2*i**2 - c*i + 2/9*i**3 - 1/4*i**4. What is s in z(s) = 0?
-1, 2/3, 1
Suppose -z = z. Let s = z - -4. Factor 6*v**2 + 1 - v**3 + s - 12*v + 3.
-(v - 2)**3
Factor -48 - c + 37*c + 3*c**4 + 12*c - 12*c**3.
3*(c - 2)**3*(c + 2)
Let v(m) be the first derivative of -m**6/14 - 27*m**5/35 - 93*m**4/28 - 51*m**3/7 - 60*m**2/7 - 36*m/7 - 9. Suppose v(l) = 0. What is l?
-3, -2, -1
Factor -4/7*d**5 + 16/7*d**2 + 16/7*d**4 - 4/7*d + 0 - 24/7*d**3.
-4*d*(d - 1)**4/7
Let q(g) be the second derivative of -g**4/48 + 6*g. Let q(t) = 0. Calculate t.
0
Let t(c) = 8*c**2 - 4*c + 6. Let j(y) = 17*y**2 - 8*y + 13. Let r be 6/(-15) + 32/5. Let x(o) = r*j(o) - 13*t(o). Determine h, given that x(h) = 0.
0, 2
Suppose -5*u = 4*s - 2, -2*s + 25 = 3*s - 5*u. Suppose 2*o + i - 7 = 0, 4*o + 7 = 4*i + s. What is b in -2/5*b**o - 2/5*b + 4/5 = 0?
-2, 1
Suppose 2*x - 4*g = g - 18, 4*g - 11 = 5*x. Suppose m - x = 2. Factor 11*l**m + 0*l**2 - 4*l**2 - 9*l**3.
2*l**2*(l - 2)
Let m be (((-2)/(-5))/((-27)/15))/(-2). Let u(p) be the first derivative of -3 - 2/3*p - m*p**3 - 1/2*p**2. Factor u(j).
-(j + 1)*(j + 2)/3
Let i be (12/(-8) - -2)*2*2. Find w such that 1/2*w**2 + i*w + 3/2 = 0.
-3, -1
Let p be -4*(-2)/14 - (-1170)/(-3003). Factor -128/11 - 24/11*y**2 + 96/11*y + p*y**3.
2*(y - 4)**3/11
Factor 2/11*k**4 + 0 - 4/11*k**3 - 6/11*k**2 + 0*k.
2*k**2*(k - 3)*(k + 1)/11
Let s(q) be the second derivative of 5*q**7/42 + 11*q**6/6 + 21*q**5/2 + 85*q**4/3 + 100*q**3/3 + 5*q. Find h such that s(h) = 0.
-5, -2, 0
Suppose -6*d - d = 0. Let a(x) be the first derivative of -1/10*x**5 + d*x - 1/2*x**3 + 3 + 1/4*x**2 + 3/8*x**4. Factor a(l).
-l*(l - 1)**3/2
Let j(s) be the first derivative of s**4/16 + 7*s**3/4 + 147*s**2/8 + 343*s/4 + 20. Solve j(k) = 0 for k.
-7
Let j be (-20)/(-6) - 8/(64/24). Find d, given that 0*d + d**4 + 0 - d**3 + 1/3*d**2 - j*d**5 = 0.
0, 1
Let c be 1 + (198/234 - (-4)/26). Let 1/4*o - 15/4*o**c + 1/2 = 0. What is o?
-1/3, 2/5
Let o(c) = -c**2. Let v(s) = -5*s**2 - 2*s + 1. Let m(f) = -6*o(f) + v(f). Solve m(d) = 0 for d.
1
Let l(x) be the first derivative of 0*x**2 + 0*x - 1/3*x**3 - 1/5*x**5 - 5 + 1/2*x**4. Determine c, given that l(c) = 0.
0, 1
Let t = -234 - -554. Suppose -2*y - t = -7*y. Factor -24*j**2 + 4*j - 1/4 + y*j**3 - 64*j**4.
-(4*j - 1)**4/4
Suppose -a = -2*a - 4, 2*g + 4*a + 24 = 0. Let h be g/(-10) + (-24)/(-15). Factor 8/3*n**3 + 8/3*n + 4*n**h + 2/3 + 2/3*n**4.
2*(n + 1)**4/3
Let b = -2 + 2. Let i(p) be the second derivative of 0*p**4 - 1/6*p**6 - 1/20*p**5 - 2/21*p**7 + 0*p**2 + 0*p**3 + b + p. Factor i(z).
-z**3*(z + 1)*(4*z + 1)
Let t(a) be the third derivative of -a**7/42 - a**6/6 - 5*a**5/12 - 5*a**4/12 - 39*a**2. Find s, given that t(s) = 0.
-2, -1, 0
Let b(j) = -52*j + 192. Let y(d) = d**2 - 157*d + 577. Let o(c) = -11*b(c) + 4*y(c). Find x, given that o(x) = 0.
7
Find d such that -2*d**2 - 4*d - 8*d**3 + 26*d**4 + 6*d**5 + 4*d**5 + 26*d**3 = 0.
-1, 0, 2/5
Let g = 22 - 16. Solve -g*r**3 + 12*r**2 - 6 + 11*r**3 + 4*r**3 - 3*r = 0.
-1, 2/3
Let r = 4 + -2. Let -a + 3*a**2 - r*a**2 - 4*a + 3*a = 0. Calculate a.
0, 2
Let m be ((-24)/(-21))/(12/14). Let v(x) be the first derivative of -2/9*x**3 + x**2 - 3 - m*x. What is g in v(g) = 0?
1, 2
Let z be 23*(-3)/(-21) + (-6)/21. Suppose -z*b**2 + 0 + 12/5*b**3 + 3/5*b = 0. Calculate b.
0, 1/4, 1
Determine z, given that 0*z**2 - 3*z**2 - 12 - 6*z - 2*z - 4*z = 0.
-2
Let j be ((-250)/100)/(10/(-18)). Determine o so that -j*o**2 + 0 + 9/2*o**4 - o - 5/2*o**3 + 7/2*o**5 = 0.
-1, -2/7, 0, 1
Let i = -46 - -93/2. Let -g**3 + 0 + i*g + 0*g**2 + 0*g**4 + 1/2*g**5 = 0. What is g?
-1, 0, 1
Suppose -2*u + 5 = -u - 3*p, -5*u + 2*p + 12 = 0. Factor -48*y**2 - 10 + u - 2*y**2 - 40*y.
-2*(5*y + 2)**2
Let b = -32 + 36. Let i(z) be the second derivative of 0 - 2*z + 0*z**2 + 1/3*z**3 - 1/3*z**b. Solve i(t) = 0 for t.
0, 1/2
Suppose 0 = h + 1, 2 = 3*p + 5*h + 7. Let s be 2/24*64/24. What is i in 2/9*i - s*i**4 + p - 2/3*i**2 + 2/3*i**3 = 0?
0, 1
Let y(u) be the third derivative of -u**7/1995 + 7*u**6/1140 - 11*u**5/570 + 5*u**4/228 + 35*u**2. What is k in y(k) = 0?
0, 1, 5
Let d(g) be the second derivative of -g**3/3 + 2*g. Let t be d(-1). Determine w so that w**2 + 0*w**2 + t*w + 1 + 0*w = 0.
-1
Let m(f) be the second derivative of f**4/24 + f**3/4 + f**2/2 + 7*f. Factor m(j).
(j + 1)*(j + 2)/2
Let t(g) = g**3 + 3*g**2 - 3*g + 1. Let j(p) = -8*p**3 - 25*p**2 + 25*p - 9. Let k(i) = -6*j(i) - 51*t(i). Find q, given that k(q) = 0.
-1, 1
Factor 28/3*r + 20/3*r**2 + 4/3*r**3 + 4.
4*(r + 1)**2*(r + 3)/3
Factor 1/7*m**3 + 4/7*m**2 + 5/7*m + 2/7.
(m + 1)**2*(m + 2)/7
Let y(l) = 2*l**2 + 2*l - 6. Let v be 2/((-2)/(-5)*1). Let x be y(v). Factor -2*p**4 + 14*p + x - 36*p**2 - 14*p - 16*p**3.
-2*(p - 1)*(p + 3)**3
Let r(u) be the second derivative of -1/10*u**5 + 0 + 4*u + 0*u**2 + 1/3*u**4 - 1/3*u**3. Let r(y) = 0. What is y?
0, 1
Let f(b) = -b**3 + 8*b**2 + 9*b - 11. Let x be f(9). Let m(c) = -5*c**2 + 5*c + 6. Let r(g) = 9*g**2 - 9*g - 11. Let l(y) = x*m(y) - 6*r(y). Solve l(o) = 0.
0, 1
Suppose 0*g = -3*g + 18. Let n(k) = -k + 9. Let o be n(4). Factor -g*r**o - 8*r**4 - 8*r**5 + 4*r**4.
-2*r**4*(7*r + 2)
Let l be 4/(-40)*8 - (-29)/30. Let m(w) be the second derivative of 1/126*w**7 + 1/3*w**2 + 0 - 1/15*w**5 + 0*w**6 + l*w**3 - w - 1/18*w**4. Factor m(v).
(v - 2)*(v - 1)*(v + 1)**3/3
Let w(p) be the first derivative of 2*p**5/35 - 5*p**4/14 + 16*p**3/21 - 4*p**2/7 + 14. Factor w(b).
2*b*(b - 2)**2*(b - 1)/7
Let y(n) = n**4 + n**2 - n - 1. Let s(z) = -5*z**5 - 23*z**4 - 22*z**3 - 13*z**2 + 8*z + 7. Let a(o) = s(o) + 5*y(o). Factor a(k).
-(k + 1)**4*(5*k - 2)
Let y be -18*(1 - 9/6). Determine j so that -3*j**3 + j**2 + y*j**3 + 3*j**2 - 2*j**5 = 0.
-1, 0, 2
Let g(i) = 4*i**3 + 5*i**2 + 3*i - 3. Let o(z) = -9*z**3 - 9*z**2 - 7*z + 7. Let h(s) = 14*g(s) + 6*o(s). Factor h(d).
2*d**2*(d + 8)
Let j(p) = 2*p**2 - 2*p - 4. Let r(t) = 2*t**2 - 3*t - 5. Let x(u) = -3*j(u) + 4*r(u). Let x(k) = 0. What is k?
-1, 4
Let h b