erivative of -2*o**7/105 + 14*o**6/15 - 53*o**5/15 + 13*o**4/3 + 128*o**2. Factor h(n).
-4*n*(n - 26)*(n - 1)**2
Factor 2/13*c**2 + 0 + 2/13*c.
2*c*(c + 1)/13
Let v(x) be the second derivative of x**5/25 - 2*x**4/15 - 2*x**3/15 + 4*x**2/5 - 14*x. Suppose v(y) = 0. Calculate y.
-1, 1, 2
Let z(l) be the third derivative of 2*l**2 + 0 + 0*l - 4/63*l**4 - 5/63*l**3 - 1/210*l**5. What is r in z(r) = 0?
-5, -1/3
Let n(g) be the first derivative of 3*g**6/10 - 3*g**5 - 3*g**4/20 + 393*g**3/5 - 219*g**2 + 120*g + 590. Find r such that n(r) = 0.
-4, 1/3, 2, 5
Let l(y) = y**2 + 9*y + 8. Let a(h) = h**2 + 6*h - 15. Let v be a(-8). Let t(g) = -g - 2. Let i(f) = v*l(f) + 6*t(f). Determine r so that i(r) = 0.
-4, 1
Let r be ((-10)/4 + 1)/(3/(-18)). Suppose -r = -3*v + b - 1, -5*b + 20 = 0. Factor 0*o + 0*o**2 + 0 - 1/3*o**v + 1/3*o**3.
-o**3*(o - 1)/3
Let k(q) be the third derivative of -q**5/60 - 17*q**4/12 - 289*q**3/6 - q**2. Factor k(f).
-(f + 17)**2
Let g be ((-2)/3 - (-5)/15)*-6. Suppose y - 2 - 1 = 0. Factor -7*d**3 - 4 + 11*d**y - 12*d**g - 12*d - 8*d**3.
-4*(d + 1)**3
Let i = -2 - 4. Let u be (1 + (-3)/i)*2. Factor y + 0*y + 5*y**2 - y**4 - y**u - 4*y**2.
-y*(y - 1)*(y + 1)**2
Suppose -2*y = 2*b, 0 = 36*b - 32*b + 8. Factor 1/9*c**y - 4/9*c + 0.
c*(c - 4)/9
Let z be (169 + -168)*(4 - (-2 - -4)). Let -1/2*w**z + 0 + 1/2*w = 0. Calculate w.
0, 1
Let t(p) be the third derivative of 1/1512*p**8 + 2/945*p**7 + 0 + 0*p**3 + 0*p - 1/108*p**4 + 0*p**6 + 19*p**2 - 1/135*p**5. Factor t(y).
2*y*(y - 1)*(y + 1)**3/9
Let m(o) be the second derivative of o**7/945 + o**6/180 - o**4/27 + 6*o**2 - 12*o. Let y(b) be the first derivative of m(b). Factor y(k).
2*k*(k - 1)*(k + 2)**2/9
Let a be (44/12 - -2)*3. Find v, given that a - 3 + 24*v**2 + 4*v**3 + 36*v + 2 = 0.
-4, -1
Find n, given that 18*n**3 + 2*n**2 - 15*n**4 + 3*n**5 + 11*n + 2*n**2 - 17*n + 9 - 15*n + 2*n**2 = 0.
-1, 1, 3
Let l(j) be the third derivative of 2*j**7/1155 - j**6/660 - j**5/55 + 7*j**4/132 - 2*j**3/33 - 432*j**2. Let l(f) = 0. What is f?
-2, 1/2, 1
Let j = 33 + -39. Let l be (-4)/(-8)*j/(-9). Factor g**2 - l*g**3 - 1/3*g**4 + 1/3*g - 2/3.
-(g - 1)**2*(g + 1)*(g + 2)/3
Let s(o) = -60*o**3 - 292*o**2 - 128*o - 24. Let d(h) = 61*h**3 + 291*h**2 + 129*h + 22. Let n(z) = 4*d(z) + 3*s(z). Suppose n(w) = 0. Calculate w.
-4, -1/4
Determine z so that 45*z**3 - 21*z**5 + 0*z**4 + 19*z**4 + 19*z**2 + 22*z**4 + 12*z**5 + 2*z + 22*z**5 = 0.
-1, -2/13, 0
Let i(l) be the first derivative of 128*l**6/27 - 2368*l**5/45 + 1681*l**4/9 - 5668*l**3/27 + 560*l**2/9 - 64*l/9 - 335. Solve i(v) = 0 for v.
1/8, 1, 4
Let l(c) be the first derivative of 2*c**5/35 - c**4/7 + 2*c**3/21 - 26. Find u such that l(u) = 0.
0, 1
Factor 128 - 10*u**2 - 458*u + 474*u + 6*u**2.
-4*(u - 8)*(u + 4)
Let r(l) = 4*l**2 + 51*l + 80. Let c be r(-11). Factor -1/5*k + 2/5 + 1/5*k**c - 2/5*k**2.
(k - 2)*(k - 1)*(k + 1)/5
Let w(s) be the first derivative of -20/3*s**2 + 35/3*s**4 + 33 + 8/3*s + 98/15*s**5 - 2/3*s**3. Factor w(n).
2*(n + 1)**2*(7*n - 2)**2/3
Let o(y) be the first derivative of 5*y**4/4 + 20*y**3/3 - 55*y**2/2 + 30*y - 181. Suppose o(h) = 0. What is h?
-6, 1
Let o(f) be the second derivative of -f**7/45 - 19*f**6/225 - f**5/10 - f**4/90 + 2*f**3/45 + 2*f - 1. Factor o(p).
-2*p*(p + 1)**3*(7*p - 2)/15
Let c(w) be the first derivative of w**6/180 - w**5/90 - w**4/36 + w**3/9 - 17*w**2/2 + 29. Let h(q) be the second derivative of c(q). Factor h(r).
2*(r - 1)**2*(r + 1)/3
Let g(b) be the third derivative of 0 + 1/420*b**7 + 64/3*b**3 + 4/5*b**5 + 16/3*b**4 - 5*b**2 + 0*b + 1/15*b**6. Suppose g(i) = 0. Calculate i.
-4
Let o be (-1220)/(-6) + 105/63. Factor 94*h - o*h + 97*h - 2*h**2.
-2*h*(h + 7)
Let a(n) be the second derivative of 0*n**2 + 0*n**3 + 0 + 0*n**4 + 5*n - 1/10*n**5. Determine i, given that a(i) = 0.
0
What is y in 1/2*y**4 + 0*y - 6*y**2 + 0 + 1/2*y**3 = 0?
-4, 0, 3
Let z be (-34)/(-3) - (-481 - -489). Determine f so that -z*f - 1/2*f**2 - 3/2*f**5 + 7/6*f**4 + 29/6*f**3 - 2/3 = 0.
-1, -2/9, 1, 2
Let g(s) be the second derivative of -s**5/170 - 2*s**4/17 - 15*s**3/17 - 50*s**2/17 - 4*s. Factor g(c).
-2*(c + 2)*(c + 5)**2/17
Let b(c) = c**4 + c**3 + c**2 - c. Let h(k) = -30*k**4 - 40*k**3 - 2*k**2 + 28*k. Let s be -3*3/6*(-704)/24. Let q(i) = s*b(i) + 2*h(i). Factor q(y).
-4*y*(y - 1)*(y + 3)*(4*y + 1)
Let f(a) be the first derivative of -2*a**3/21 - 386*a**2/7 - 74498*a/7 - 138. Find m, given that f(m) = 0.
-193
Let w(y) = 2*y**2 - 2*y + 5. Let c(t) be the first derivative of -t**3 + 3*t**2/2 - 9*t - 5. Let x(z) = 5*c(z) + 9*w(z). Factor x(o).
3*o*(o - 1)
Let n(l) be the second derivative of l**7/630 + l**6/180 - l**5/90 - 13*l**3/6 - 11*l. Let b(q) be the second derivative of n(q). Factor b(m).
2*m*(m + 2)*(2*m - 1)/3
Let v(j) = j**3 - j**2 + 2. Let p(s) = -16*s**3 + 34*s**2 - 38*s - 16. Let b(r) = 2*p(r) + 36*v(r). Factor b(z).
4*(z - 1)**2*(z + 10)
Let n(l) be the second derivative of l**7/420 - l**6/240 - l**5/24 - l**4/16 - 5*l**2 + 2*l. Let c(d) be the first derivative of n(d). Let c(j) = 0. What is j?
-1, 0, 3
Let t(z) be the third derivative of z**5/450 - 103*z**4/90 + 731*z**2. Factor t(l).
2*l*(l - 206)/15
Let k(q) = q**4 - 2. Let u(m) = -4*m**4 - 20*m**3 - 66*m**2 - 88*m - 36. Let i(g) = 4*k(g) + 2*u(g). Factor i(y).
-4*(y + 1)*(y + 2)**2*(y + 5)
Let o be (-1)/(-1) - 28/(-4). Suppose -5*x + o = -17. Determine g, given that 4*g**2 + x - 2 - 10*g + 3 = 0.
1, 3/2
What is o in 2/17*o**3 + 180/17 + 86/17*o - 92/17*o**2 = 0?
-1, 2, 45
Let w(d) be the third derivative of -3*d**7/455 - 7*d**6/156 - 16*d**5/195 + d**4/39 + 7*d**2 + 32. Factor w(a).
-2*a*(a + 2)**2*(9*a - 1)/13
Factor -45*k**2 + 507/2 + 39/4*k + 27/4*k**3.
3*(k + 2)*(3*k - 13)**2/4
Suppose -123*h + 120*h = -2*t + 10, -h - 2 = 0. Let x(u) be the third derivative of 7*u**t - 1/20*u**5 + 0*u**4 + 0 + 2*u**3 + 0*u. What is s in x(s) = 0?
-2, 2
Let f = -3889 + 3889. Let -32/5*r - 324/5*r**5 - 336/5*r**2 - 1096/5*r**3 - 1116/5*r**4 + f = 0. What is r?
-2, -1, -2/9, 0
Suppose -3*u = 2*k + 12, -3*k + 8 = -0*u - 2*u. Let d be (9/u)/(3/(-12)). Factor -r**2 - 11*r + 27*r - 10*r - d.
-(r - 3)**2
Suppose -5 = 3*h + 2*v - 4, 29 = 3*h - 4*v. Suppose 2*d = 0, -h*d = -5*z + 17 + 3. Find p such that -9*p + 9*p + 9*p**3 - 3*p**z = 0.
0, 3
Suppose -22/3 - z**2 + 17/3*z = 0. Calculate z.
2, 11/3
Factor -1 + 14/5*m + 1/5*m**4 + 2/5*m**3 - 12/5*m**2.
(m - 1)**3*(m + 5)/5
Let c(h) be the third derivative of -h**5/60 - h**4/3 - 3*h**3/2 - 5*h**2. Let y be c(-6). Factor -3*d**3 + y*d - 3 - 12*d**3 + 89*d**4 + 9*d**2 - 83*d**4.
3*(d - 1)**3*(2*d + 1)
Suppose 0 = 4*d - 16. Let p be 4/2*8/d. Factor -4*n**2 + 4*n + 1 + 1 + p*n**2 + 2*n**2.
2*(n + 1)**2
Factor 27*j**2 + 15 - 47*j**2 - 5*j**3 - 5*j**3 + 10*j + 0*j**3 + 5*j**4.
5*(j - 3)*(j - 1)*(j + 1)**2
Suppose 2*c = 2 - 12, -2*s = -4*c - 76. Let h be 16/s*2/8. Factor -12/7*b**2 - 64/7 + 48/7*b + h*b**3.
(b - 4)**3/7
Let o(h) = h**2 + 7. Let z(n) = 9*n**2 + 57. Let b(q) = 33*o(q) - 4*z(q). Factor b(k).
-3*(k - 1)*(k + 1)
Let t = 147 - 146. Let z(h) = -5*h - 8*h**2 + 15*h + 0*h**2. Let n(y) = y**2 - y - 1. Let d(q) = t*z(q) + 2*n(q). Determine a so that d(a) = 0.
1/3, 1
Let j(l) be the third derivative of l**5/15 + 5*l**4/3 - 22*l**3/3 - 2*l**2 - 1. Factor j(w).
4*(w - 1)*(w + 11)
Factor -21*z**2 - 9*z**3 + z**3 - z**4 - 12 - 22*z - 22 + 26.
-(z + 1)**2*(z + 2)*(z + 4)
Let x(r) be the third derivative of 1/3*r**3 + 0*r**6 + 0*r + 0*r**4 + 1/105*r**7 + 0 + 2*r**2 - 1/15*r**5. Factor x(u).
2*(u - 1)**2*(u + 1)**2
Let k(b) = 2*b - 21. Let l be k(11). Let i(t) = -t**2 + t - 1. Let q(u) = -9*u. Let o(j) = l*q(j) + 3*i(j). Find d, given that o(d) = 0.
-1
Let p(b) = -b**3 - b. Let o(j) = -8*j**3 - 4*j. Suppose -3 + 9 = -d - z, -2*z - 7 = -3*d. Let r(c) = d*o(c) + 6*p(c). Suppose r(m) = 0. What is m?
-1, 0, 1
Let f(v) = -v**2 - 21*v + 69. Let b be f(-24). Let l be -3 - -3 - (1 + b). Let -2*x - 5/2*x**l + 1/2 = 0. Calculate x.
-1, 1/5
Let y(l) be the first derivative of l**6/69 - 4*l**5/115 - 2*l**4/23 + 4*l**3/69 + 3*l**2/23 + 54. Find s such that y(s) = 0.
-1, 0, 1, 3
Let q be 145/(-7) - (-4)/(-14). Let z = 23 + q. Factor -11*o**4 - 7*o**4 - z + 16*o**4 + 4*o**2.
-2*(o - 1)**2*(o + 1)**2
Let b(s) = s**3 + 4. Let h be b(2). Factor -1