econd derivative of n**8/3360 + n**7/840 + n**6/720 + n**4/6 - 2*n. Let o(x) be the third derivative of z(x). Let o(u) = 0. What is u?
-1, -1/2, 0
Let g(n) be the second derivative of -2*n**6/45 + n**5/15 + n**4/9 - 2*n**3/9 - 34*n. Factor g(x).
-4*x*(x - 1)**2*(x + 1)/3
Let p = 88 + -86. Let m(b) be the second derivative of -1/6*b**3 - b + 1/10*b**5 - 1/2*b**p - 1/30*b**6 - 1/42*b**7 + 1/6*b**4 + 0. What is s in m(s) = 0?
-1, 1
Let d(m) be the second derivative of m**6/30 - 3*m**5/20 + m**4/12 + m**3/2 - m**2 + 18*m. What is b in d(b) = 0?
-1, 1, 2
Let s = 46 + -136/3. Determine o so that 1/3 - s*o**2 + 0*o**3 + 1/3*o**4 + 0*o = 0.
-1, 1
Let u(t) be the second derivative of -5*t**9/756 - t**8/140 + t**7/105 + t**3/3 + 6*t. Let v(d) be the second derivative of u(d). Factor v(s).
-4*s**3*(s + 1)*(5*s - 2)
Let v(p) be the third derivative of p**8/70560 + p**7/4410 + p**6/630 + p**5/30 - p**2. Let l(u) be the third derivative of v(u). What is k in l(k) = 0?
-2
Let v(s) be the second derivative of -s**5/110 - s**4/66 + 2*s**3/33 - 20*s. Determine f so that v(f) = 0.
-2, 0, 1
Let u(z) be the first derivative of 4*z**5/25 - 4*z**4/5 + 4*z**3/3 - 4*z**2/5 + 5. Find s, given that u(s) = 0.
0, 1, 2
Let k(o) be the first derivative of 4*o**3/3 + 16*o**2 + 64*o - 4. Factor k(n).
4*(n + 4)**2
Let p = -34 + 36. Factor 2/3*n**3 - 4/3*n**p + 0 + 2/3*n.
2*n*(n - 1)**2/3
Suppose 34*k + 1 = 35*k. Let t(v) be the first derivative of -k - 1/12*v**3 + 0*v + 1/8*v**2. Factor t(b).
-b*(b - 1)/4
Let i(j) be the third derivative of -1/48*j**4 - 3*j**2 + 0*j**3 + 0 + 1/240*j**6 + 0*j + 1/120*j**5 - 1/420*j**7. Factor i(s).
-s*(s - 1)**2*(s + 1)/2
Suppose 0*m + 13*m = -6*m. Factor m + 2/3*j**2 + 4/3*j.
2*j*(j + 2)/3
Let s = -1108 - -132961/120. Let x(m) be the second derivative of 0*m**2 - 3*m + s*m**6 + 0*m**5 + 0 + 0*m**4 + 0*m**3. Factor x(b).
b**4/4
Suppose 0 = 5*h + 90 - 95. Let -1/4*v**3 + h - 3/4*v**2 + 0*v = 0. What is v?
-2, 1
Let m be -1 - (-3 - -1) - 1. Suppose 6*w - 2*w + 3*j = 5, 2*w + 5*j + 1 = m. Find b, given that -w*b**2 - 4*b**4 - 5 + b + 5 - 7*b**3 = 0.
-1, 0, 1/4
Suppose o + 1 = 0, 6*j - 6 = 2*j - 2*o. Let y(d) be the first derivative of -1/3*d**j - 7/9*d**3 + 1/3*d - 1/3*d**4 - 1. Factor y(r).
-(r + 1)**2*(4*r - 1)/3
Factor 4528*q**2 + 1 + q**3 - 1 + 5*q - 4534*q**2.
q*(q - 5)*(q - 1)
Let h(g) = -9*g**4 + 8*g**3 - 5*g**2 - 13*g + 4. Let j(y) = -4*y**4 + 4*y**3 - 2*y**2 - 6*y + 2. Let p(s) = -2*h(s) + 5*j(s). Solve p(a) = 0 for a.
-1, 1
Suppose -5*z = 11*z. Let s(u) be the second derivative of -1/12*u**5 - 4*u + 0 + 1/9*u**4 + z*u**2 - 1/18*u**3 + 1/45*u**6. Factor s(r).
r*(r - 1)**2*(2*r - 1)/3
Let b(k) = -3*k**3 - 43*k**2 - 67*k - 27. Let z(j) = -16*j**3 - 236*j**2 - 368*j - 148. Let f(c) = -28*b(c) + 5*z(c). Factor f(g).
4*(g + 1)**2*(g + 4)
Let z(a) = 6*a**2 + 10*a + 4. Let j(w) = -w**2 - w. Let c = 5 - 6. Let n(l) = c*z(l) - 8*j(l). Let n(d) = 0. What is d?
-1, 2
Let s = 538/455 - -16/65. Let m = 517/595 - 1/85. Find t, given that -s*t**3 - m*t**4 + 2/7*t**2 + 10/7*t + 4/7 = 0.
-1, -2/3, 1
Factor -6*x - 100*x**2 - 125*x**3 - 9*x - 5*x.
-5*x*(5*x + 2)**2
Let c(q) be the third derivative of q**8/40320 - q**7/5040 + q**6/1440 + q**5/10 - q**2. Let r(y) be the third derivative of c(y). Factor r(z).
(z - 1)**2/2
Let u(b) = b**2 + b - 3. Let l be u(-3). Factor -l*g**3 + 2*g**2 - g**3 - g**4 + 3*g**3.
-g**2*(g - 1)*(g + 2)
Let h(k) = -k**3 + 4*k**2 - 2*k + 2. Let i be h(3). Factor 6*f**3 + 3*f**4 - f**2 + 3*f**4 + 3*f**2 + 2*f**i.
2*f**2*(f + 1)**3
Let y be -1 + 5 - 0/(10 - 2). Factor 1/4*s**5 + 1/2*s**y + 1/4*s**3 + 0 + 0*s**2 + 0*s.
s**3*(s + 1)**2/4
Let m(h) be the second derivative of h**4/24 - h**3/4 + h**2/2 - 16*h. Factor m(n).
(n - 2)*(n - 1)/2
Let r = -3 + 3. Suppose -2*h + 308 = -r*h. Factor 72*x + 0*x - 8*x + h*x**2 + 98*x**3 + 8.
2*(x + 1)*(7*x + 2)**2
Let w(m) be the third derivative of -m**8/672 - 19*m**7/420 - 13*m**6/24 - 35*m**5/12 - 125*m**4/48 + 625*m**3/12 + 10*m**2. Factor w(x).
-(x - 1)*(x + 5)**4/2
Let w(l) = 6*l**2 - 18*l + 2. Let a(x) = 7*x**2 - 19*x + 3. Let g(j) = -2*a(j) + 3*w(j). Let g(s) = 0. Calculate s.
0, 4
Let p be (6 - 6)/(-1 + 0). Let w(g) be the second derivative of g + p - 1/2*g**4 + 1/3*g**2 + 2/9*g**3 - 3/5*g**5. Determine i so that w(i) = 0.
-1/2, -1/3, 1/3
Suppose -y + 0*l - 3*l = 2, 5*l + 1 = -4*y. Let c(x) be the first derivative of -2/3*x**3 + y - x**2 + 0*x. Let c(k) = 0. Calculate k.
-1, 0
Let d(j) = -7*j**3 + 7*j**2 + 6*j. Let x(f) = -8*f**3 + 8*f**2 + 6*f. Let b(u) = 5*d(u) - 4*x(u). Factor b(r).
-3*r*(r - 2)*(r + 1)
Let t be 264/16 - (-3)/(-2). Let j be (-3)/t*(-10)/6. Find w such that j*w**2 + 1/3*w + 0 = 0.
-1, 0
Factor -38 - 6*g + 3*g**2 + 58 - 5*g**2.
-2*(g - 2)*(g + 5)
Let o(q) be the second derivative of 9*q**5/80 - 7*q**4/16 + q**3/4 - 4*q. Factor o(u).
3*u*(u - 2)*(3*u - 1)/4
Let m be 2/(-2) + 1022/1057. Let b = 4087/302 + m. Suppose 13/2*k**2 - 9/2*k**5 + 0 - 29/2*k**3 + b*k**4 - k = 0. Calculate k.
0, 1/3, 2/3, 1
Suppose 4*t - 5 - 11 = 0, -5*t = 3*f - 26. Let r(q) be the second derivative of 1/70*q**5 + 2/21*q**4 + 5/21*q**3 + 2/7*q**2 + 0 + f*q. Solve r(c) = 0 for c.
-2, -1
Let v(d) be the first derivative of -d**6/60 - d**5/40 + 5*d**4/24 - d**3/4 + 4*d + 4. Let j(p) be the first derivative of v(p). Factor j(y).
-y*(y - 1)**2*(y + 3)/2
Suppose 7*n + 5*r = 2*n, -n + 2*r + 9 = 0. Let w = n + 0. Factor w + 2 - 3*g + 2 - 5 + g**2.
(g - 2)*(g - 1)
Let d(b) = b**3 - b + 1. Let c(q) = -3*q**3 - q + 4*q**3 - 5 + 7*q - 7*q**3. Let m(y) = c(y) + 5*d(y). Factor m(u).
-u*(u - 1)*(u + 1)
Suppose -z + 5 = 0, -2*i + 0*i - z = -13. Let a(j) be the second derivative of 1/2*j**i - 13/20*j**5 - 2*j - 1/6*j**6 + 0 + 10/3*j**3 - 4*j**2. Solve a(k) = 0.
-2, 2/5, 1
Let i = 44 + -36. Let d = 1 + 1. Factor -2*p + d*p**3 - i + 8.
2*p*(p - 1)*(p + 1)
Factor 10*a**2 + 27 - 6*a**2 + 18*a - a**2.
3*(a + 3)**2
Let u(i) be the third derivative of i**7/525 + i**6/100 + i**5/75 - 5*i**2. Suppose u(g) = 0. Calculate g.
-2, -1, 0
Let j(p) be the third derivative of p**7/84 - p**6/24 - p**5/24 + 5*p**4/24 + 8*p**2. Factor j(m).
5*m*(m - 2)*(m - 1)*(m + 1)/2
Let l be 6/((-12)/7)*(-4)/28. Factor 0 - l*o + 0*o**2 + 1/2*o**3.
o*(o - 1)*(o + 1)/2
Factor -2*s**2 + 50/9 + 10/3*s + 2/9*s**3.
2*(s - 5)**2*(s + 1)/9
Suppose 15/2*p + 3/2*p**2 + 9/2 - 3/2*p**3 = 0. What is p?
-1, 3
Suppose 3 = 2*v + 1. Let q be (-15)/(-36) + v/4. Factor -2/3*x**3 - q*x**2 + 2/3*x + 2/3.
-2*(x - 1)*(x + 1)**2/3
Let p(c) be the first derivative of -3*c**5/20 - 9*c**4/16 - 3*c**3/4 - 3*c**2/8 - 1. Factor p(t).
-3*t*(t + 1)**3/4
Suppose -5*r + 40 = -2*i, r - i - 26 = 3*i. Let h be (r/(-8))/(63/(-24)). Find o such that 4/7*o + 0*o**2 - 2/7 - 4/7*o**3 + h*o**4 = 0.
-1, 1
Let c be 2/6 - 2/6. Let g(j) be the first derivative of c*j - 1/3*j**2 + 2/9*j**3 - 1. Determine i, given that g(i) = 0.
0, 1
Let -2/7*p**3 + 6/7*p**2 + 0 + 0*p = 0. What is p?
0, 3
Let y = -78 - -81. Factor u**2 - 1/4*u**y - 5/4*u + 1/2.
-(u - 2)*(u - 1)**2/4
Suppose -5 = -2*r - 11. Let n be (10/15)/((-1)/r). Determine u, given that -n*u**3 + u**3 - u**2 - 4*u**2 - 6 + 2 - 8*u = 0.
-2, -1
Let f be (-6)/(-9) + (-6)/9. Let h(p) be the third derivative of 0*p + 0 + 0*p**4 + 1/60*p**5 + 3*p**2 + f*p**3. Factor h(s).
s**2
Let p = 6/275 - -2158/1925. Find u such that -p - 8/7*u - 2/7*u**2 = 0.
-2
Let b(a) be the third derivative of a**6/1080 - a**5/180 + a**4/72 - 5*a**3/6 + 2*a**2. Let n(x) be the first derivative of b(x). Solve n(l) = 0 for l.
1
Let t be 224/21 + (-2)/(-6). Solve 17*f**2 - f**2 - 4*f**3 + 11*f + 2 + t*f**3 = 0.
-1, -2/7
Let q(g) = g**4 - 12*g**3 + 24*g**2 + 320*g + 404. Let l(a) = a**4 - 13*a**3 + 24*a**2 + 320*a + 403. Let w(u) = 4*l(u) - 3*q(u). Factor w(s).
(s - 10)**2*(s + 2)**2
Let q(c) be the first derivative of c**2 + 0*c + 21/4*c**4 - 17/5*c**5 - 11/3*c**3 - 5 + 5/6*c**6. Factor q(h).
h*(h - 1)**3*(5*h - 2)
Let b be 132/(-9) + 1/(-3). Let i = 31/2 + b. Factor 0*n**2 + 0*n + 3/2*n**4 - 2*n**5 + i*n**3 + 0.
-n**3*(n - 1)*(4*n + 1)/2
Suppose 0 = 4*g - 9 + 1. Let -2*q**2 + 4*q**2 + 0*q**g = 0. What is q?
0
Factor -2*t**2 - 2*t + 5*t**2 + t**2.
2*t*(2*t - 1)
Determine p, given that -2 - 12*p + 29*p**2 - 85*p**2 + 10 - 16*p**3 + 28*p**5 + 48*p**4 = 0.
-1, 2/7, 1
Let s(y) be 