erivative of y(r). Factor i(l).
2*l*(l - 2)*(l - 1)**2/3
Let k(d) = -10*d - 15. Let g be k(-2). Factor -8*z**5 - 79*z**4 - 15*z**2 + 54*z**4 + 3*z**g - 35*z**3.
-5*z**2*(z + 1)**2*(z + 3)
Suppose -6 = -2*o - o. Let l = -2091 - -2091. Factor -8/5*j**o - 7/5*j**3 + l - 1/5*j.
-j*(j + 1)*(7*j + 1)/5
Let j(m) be the third derivative of m**5/690 - 31*m**4/138 + 961*m**3/69 + 69*m**2. Factor j(g).
2*(g - 31)**2/23
Let a(c) = c**2 - 26*c - 75. Suppose -2*r - 27 + 25 = 0. Let d(k) = k**2 + k. Let j(y) = r*a(y) + 4*d(y). Suppose j(q) = 0. Calculate q.
-5
Let a(v) = 2*v**3 - 2*v**2 + 6*v. Let g(p) be the first derivative of p**4/2 - 2*p**3/3 + 5*p**2/2 - 7. Let z(d) = 5*a(d) - 6*g(d). Factor z(q).
-2*q**2*(q - 1)
Let h(n) be the first derivative of 1/12*n**3 + 12 + 0*n**4 + 0*n**2 - 1/20*n**5 + 0*n. Factor h(b).
-b**2*(b - 1)*(b + 1)/4
Let y(m) be the third derivative of 4*m**7/105 + 41*m**6/90 + 41*m**5/45 - 52*m**4/9 + 32*m**3/9 + 75*m**2. Let y(n) = 0. What is n?
-4, 1/6, 1
Let l(h) be the second derivative of 1/60*h**5 + 5/2*h**2 - 1/40*h**6 + 1/3*h**4 + 0 + 4*h + 2/3*h**3. Let f(d) be the first derivative of l(d). Solve f(x) = 0.
-1, -2/3, 2
Suppose 303/8*b + 153/4 - 3/8*b**2 = 0. Calculate b.
-1, 102
Solve -5*w**2 + 16*w + 30*w + 62*w + 120 - 16*w + 23*w = 0.
-1, 24
Let p be (-77)/(-22) - (7 + -4). Let f(a) be the second derivative of 1/12*a**4 + p*a**3 + 0 + 3*a + a**2. Factor f(h).
(h + 1)*(h + 2)
Let -4/3*f**2 + 4/3 - 14/3*f + 14/3*f**3 = 0. Calculate f.
-1, 2/7, 1
Suppose -5*s = -0*s - 15. Find z such that -1105*z**2 - 4*z + 24*z + 5*z**s + 1085*z**2 = 0.
0, 2
Let y = -21 - -23. Factor 0*o**y - 7*o**3 - 2*o**2 + 5*o**3.
-2*o**2*(o + 1)
Let g(s) be the third derivative of -s**5/150 + 5*s**4/4 + 154*s**3/15 + 4*s**2 - 4. Find t, given that g(t) = 0.
-2, 77
Let y(g) be the first derivative of -g**4/9 + 8*g**3/9 - 8*g**2/3 + 32*g/9 - 61. Factor y(k).
-4*(k - 2)**3/9
Let k be 1 + (-12)/(-12) - 5/3. Solve k*v - 1/6*v**2 - 1/6 = 0.
1
Find j, given that 2/7*j**2 + 1458/7 + 108/7*j = 0.
-27
Let x be 8/(5/(-20)*-4). Let n be (x/(-10))/((-22)/5). Factor -4/11*t + 0 + n*t**2.
2*t*(t - 2)/11
Let q(b) be the second derivative of -b**7/2520 + b**6/360 + 23*b**4/12 - 22*b. Let i(z) be the third derivative of q(z). Let i(v) = 0. Calculate v.
0, 2
Let k(q) be the second derivative of -q**9/15120 + q**7/840 - q**6/360 + 7*q**4/12 + 4*q. Let l(v) be the third derivative of k(v). Factor l(d).
-d*(d - 1)**2*(d + 2)
Let 0*x - 8/13*x**2 + 0 - 2/13*x**3 = 0. What is x?
-4, 0
Let d(j) be the first derivative of 2/9*j**3 + 5/3*j**2 - 28/3*j + 48. Factor d(y).
2*(y - 2)*(y + 7)/3
Let w(f) = -4*f**4 + 12*f**3 - 8*f**2 - 6. Let b(k) = -k**4 + k**3 - 2*k**2 - 1. Let u(y) = -12*b(y) + 2*w(y). Factor u(x).
4*x**2*(x + 1)*(x + 2)
Let r = 441/1870 - -12/187. Let k(l) be the second derivative of r*l**3 + 0 + 0*l**2 - 12*l + 1/100*l**5 + 1/10*l**4. Factor k(i).
i*(i + 3)**2/5
Let f = -12 + 15. Factor -6 + 0*v + 4*v**f - 2 + 12*v**2 - 4*v**4 - 4*v.
-4*(v - 2)*(v - 1)*(v + 1)**2
Let w(n) be the second derivative of -n**5/30 - n**4/2 - 3*n**3 + 16*n**2 - 18*n. Let q(v) be the first derivative of w(v). Factor q(j).
-2*(j + 3)**2
Let h(l) be the first derivative of 2*l**3/39 + l**2 + 24*l/13 - 354. Find s such that h(s) = 0.
-12, -1
Let h(v) = -3*v**2 + 284*v + 280. Let n(s) = s**2 - 143*s - 140. Let u(a) = 4*h(a) + 7*n(a). Find j, given that u(j) = 0.
-1, 28
Let p(z) be the second derivative of 1/90*z**5 - 1/27*z**3 + 0 + 1/9*z**2 - 1/54*z**4 - 2*z. Let p(k) = 0. What is k?
-1, 1
Suppose 6*r + 5*r = 22. Let t(s) be the second derivative of 6*s + 1/15*s**6 + 1/6*s**4 + 0*s**3 + 0 + 0*s**r - 1/5*s**5. Factor t(o).
2*o**2*(o - 1)**2
Let u = -1463 - -1472. Let h(x) be the third derivative of 1/15*x**5 + u*x**2 + 0*x - 1/120*x**6 - 5/24*x**4 + 1/3*x**3 + 0. Suppose h(b) = 0. What is b?
1, 2
Let t(n) = -n**3 + 10*n**2 - 5*n - 30. Let j be t(6). Suppose -y = j - 86. Solve 2/3*q**4 + y*q**3 + 0 + 2*q**2 + 2/3*q = 0.
-1, 0
Solve -85/3*u**2 - 320/3 - 400/3*u - 5/3*u**3 = 0 for u.
-8, -1
Determine d so that 2/3 + 1/2*d**2 - 1/6*d**4 + 4/3*d - 1/3*d**3 = 0.
-2, -1, 2
Let a be (-1)/(1*5/(-15)). Let t be 21/14*a/18. Determine w so that 17/4*w + 5/4*w**4 + t*w**2 - 3/2 - 17/4*w**3 = 0.
-1, 2/5, 1, 3
Let u(b) be the third derivative of -b**6/300 + b**5/50 - b**4/20 + b**3/15 - 16*b**2. Factor u(r).
-2*(r - 1)**3/5
Let d be -1 + 0 + 1/1. Suppose q - 3 = r, d = -6*q + 2*q + 2*r + 6. Factor 4*y**3 - 3*y**5 - 3*y + q*y + 2*y**3.
-3*y*(y - 1)**2*(y + 1)**2
Let j = -172 - -177. Let t(x) be the third derivative of 0 + 3/40*x**4 + 6*x**2 + 1/5*x**3 + 1/100*x**j + 0*x. Factor t(b).
3*(b + 1)*(b + 2)/5
Suppose 61/4 + 1/4*q**3 + 123/4*q + 63/4*q**2 = 0. What is q?
-61, -1
Let w(a) be the third derivative of -a**5/120 + a**4/6 - 7*a**3/12 + 274*a**2. Let w(n) = 0. Calculate n.
1, 7
Let p(y) be the third derivative of y**5/12 + 35*y**4/24 + 25*y**3/3 - 446*y**2. Factor p(u).
5*(u + 2)*(u + 5)
Find x, given that 4*x - 189 + 3*x**2 + 36*x - 46*x = 0.
-7, 9
Let x(f) be the third derivative of 0 + 1/3*f**4 - 1/6*f**3 + 3/20*f**5 + 27*f**2 + 0*f. Factor x(k).
(k + 1)*(9*k - 1)
Determine q so that 1/6*q**2 + 29/2*q + 0 = 0.
-87, 0
Let x(v) be the second derivative of v**7/252 + 5*v**6/18 + 19*v**5/12 + 35*v**4/9 + 185*v**3/36 + 23*v**2/6 - 13*v - 5. Factor x(l).
(l + 1)**4*(l + 46)/6
Let l(x) = -x**2 + 1. Let f(o) = -2*o**3 - 11*o**2 + 4*o + 9. Let s be (-3 - -4)/(-4 + 3). Let i(p) = s*f(p) + 6*l(p). Let i(g) = 0. Calculate g.
-3, -1/2, 1
Suppose -g - 38 = -4*h - 66, 3*g - 5*h - 35 = 0. Factor -2/9*n**2 + g + 2/9*n.
-2*n*(n - 1)/9
Let z(v) = -14 + 14*v - 47*v + 21*v. Let j be z(-4). Factor 20*s - 8*s**2 - 1 - 54*s**3 + 9 + j*s**3.
-4*(s - 1)*(s + 1)*(5*s + 2)
Let c(s) be the first derivative of s**6/6 - s**5/5 - s**4 + 4*s**3/3 + 497. Let c(l) = 0. What is l?
-2, 0, 1, 2
Let l = 1899 - 1896. Factor 4/3*i**l + 4*i - 4/3 - 4*i**2.
4*(i - 1)**3/3
Let v be ((-2)/(-6) - 3)/(6/(-9)). Let m(q) be the first derivative of -4*q**v - 4*q**3 - 4/5*q**5 + 8*q**2 + 16*q - 8. Factor m(n).
-4*(n - 1)*(n + 1)*(n + 2)**2
Let p = -11 - -10. Let n = 7 - p. Factor -54*k + k**2 - 2*k**3 + 9*k**2 + n*k**2 + 53 + 1.
-2*(k - 3)**3
Let m be (-16)/(-10)*(-320)/(-96). Determine d, given that 16/3*d**2 + 4/3*d**3 - m - 4/3*d = 0.
-4, -1, 1
Suppose 2*z - 4 - 1/4*z**2 = 0. Calculate z.
4
Let c(d) be the third derivative of -d**5/40 - 5*d**4/8 - 21*d**3/4 - 72*d**2. Factor c(b).
-3*(b + 3)*(b + 7)/2
Suppose -4 = -4*j - 2*r, -2*j + 0*j - 3*r = 6. Solve -6*f**j - 4*f**4 + 12*f**2 - 4*f**2 + 2*f**5 + 0*f + 2*f**3 - 4 + 2*f = 0 for f.
-1, 1, 2
Let w(j) be the second derivative of -j**7/21 - 13*j**6/15 - 7*j**5/2 + 13*j**4/6 + 12*j**3 + 286*j - 2. Determine b so that w(b) = 0.
-9, -4, -1, 0, 1
Suppose 0 = 10*q - 15 - 5. Suppose p + 11 = i + 4*p, q*i - 3*p + 5 = 0. Determine z, given that 1/2*z + 1/4*z**3 + 0 + 3/4*z**i = 0.
-2, -1, 0
Factor 1/4*k**2 + 1/4*k**3 + 0*k + 0.
k**2*(k + 1)/4
Suppose -5*m + 8*m - 6 = 0. Let y(w) = 9*w**2 + 2*w - 1. Let t be y(1). Factor t*f - 3*f**3 + 4*f**m + 4*f**3 + 8 + 2*f + 2*f**2.
(f + 2)**3
Let g = 282 + -278. Let n(h) be the third derivative of -1/54*h**5 - 1/315*h**7 + 1/108*h**4 + 7/540*h**6 - g*h**2 + 0 + 0*h**3 + 0*h. Factor n(c).
-2*c*(c - 1)**2*(3*c - 1)/9
Let o = 13/2 + -113/18. Let x be 2 - (28/(-18) - 0). Factor x*k**3 - 14/9*k - o - 16/9*k**2.
2*(k - 1)*(4*k + 1)**2/9
Let l(v) be the second derivative of -v**7/42 - v**6/30 + 11*v**5/20 + 3*v**4/4 - 3*v**3 - 227*v + 2. Find i, given that l(i) = 0.
-3, -2, 0, 1, 3
Let y(h) be the first derivative of 1 + 0*h**2 - 1/2*h**3 + 9/20*h**5 - 3/16*h**4 + 0*h. Factor y(x).
3*x**2*(x - 1)*(3*x + 2)/4
Let b(m) be the second derivative of -m**6/30 + 3*m**5/10 - m**4/3 - m**3 + 5*m**2/2 + 246*m. Factor b(o).
-(o - 5)*(o - 1)**2*(o + 1)
Factor 11*j**3 - 16*j**3 + 1280 + 10*j**3 - 60*j**2.
5*(j - 8)**2*(j + 4)
Suppose 2*j = 3*u - 7, 25*u - 22*u = 5*j + 4. Determine f so that 20/3*f**u + 24*f**2 - 8 + 28/3*f = 0.
-3, -1, 2/5
Let a = 183470204/4277 - 300276/7. Let n = -10/47 + a. Factor -2/13*c**2 + 0*c**3 + 0 + n*c**4 + 0*c.
2*c**2*(c - 1)*(c + 1)/13
Suppose 5*z - 2 = -3*d + 3, -3 = 3*z + 3*d. Let b be (20/25)/(z/10). Find u such that 6*u**4 + 38*u - 76*u - b*u**2 + 8*u**3