the second derivative of -1/60*s**5 + 0*s**2 + 19*s + y - 1/6*s**3 + 1/9*s**4. Solve b(n) = 0.
0, 1, 3
Let q = 73841/5 + -14768. Solve l + 1/5*l**2 + 3/5 - q*l**3 = 0.
-1, 3
Let o(w) = 102*w - 930. Let f(k) = 2*k**2 - 101*k + 933. Let r(i) = -2*f(i) - 3*o(i). Factor r(z).
-4*(z - 7)*(z + 33)
Factor 28456351*o**2 + 381775972*o - 2746*o**4 + 2*o**5 - 102278315*o**2 + 1258578*o**3 - 119572210*o**2.
2*o*(o - 457)**3*(o - 2)
Let t(f) be the second derivative of f**4/36 + 7*f**3/3 - 235*f**2/6 + 75*f - 7. Factor t(o).
(o - 5)*(o + 47)/3
Let i = -16190 + 81296/5. Let h = i + -66. Determine x, given that 18*x**5 - 426/5*x**4 + 226/5*x**3 - 36/5*x - h + 162/5*x**2 = 0.
-1/3, 2/5, 1, 4
Suppose 0 = -2*o - 5*v - 7, -o + 3*v - 5*v = 2. Let n(u) be the second derivative of -3/80*u**5 + 0 + 0*u**2 - 3/8*u**o - 9/8*u**3 + 16*u. Factor n(i).
-3*i*(i + 3)**2/4
Let h be (-1904826)/1001 + (1 - -4 - 1). Let p = -1898 - h. Factor 46/13*u + p + 14/13*u**2.
2*(u + 3)*(7*u + 2)/13
Let r(z) = -6*z**4 + 30*z**3 + 7*z**2 + 4. Let v(j) = 4*j**3 + j**2 + 2*j. Let u(l) = r(l) - 5*v(l). Solve u(h) = 0.
-1, 2/3, 1
Let b be -13*(-6)/13 - (-234)/(-91). Let d be 3 + -2*3/6. Determine p, given that -b*p + 12/7 + 9/7*p**d = 0.
2/3, 2
Let r(q) be the third derivative of 0*q - 29/4*q**5 + 20/3*q**4 - 10/3*q**3 + 5/28*q**8 - 58*q**2 + 53/12*q**6 + 2 - 59/42*q**7. Suppose r(y) = 0. Calculate y.
1/4, 2/3, 1, 2
Factor -883*h**2 - 1209*h - 609 - 619*h + 880*h**2.
-(h + 609)*(3*h + 1)
Let t(k) be the third derivative of 529/21*k**3 + 0*k + 1/210*k**5 + 8*k**2 + 23/42*k**4 - 2. Solve t(o) = 0.
-23
Find j such that 275*j + 2018*j**3 + 2015*j**3 - 80*j**2 - 4028*j**3 + 360 = 0.
-1, 8, 9
Suppose 18*f + 3 + 51 = 90. Let i(z) be the second derivative of 1/60*z**6 - 1/24*z**4 + 0 + 0*z**f + 1/12*z**3 - 1/40*z**5 - 20*z. Solve i(d) = 0 for d.
-1, 0, 1
Factor 185429 - 5*g**3 - 92567 - 92376 + 2*g**3 - 30*g**2 + 459*g.
-3*(g - 9)*(g + 1)*(g + 18)
Let o(u) = u**2 + u + 2. Let z(h) = -13*h - 5*h**2 - 18 + 37 - 21. Let w(t) = -o(t) - z(t). Factor w(p).
4*p*(p + 3)
Let f(p) = 17*p - 82. Let c be f(6). Let b be (-6)/c*3*105/(-54). Find t such that 0 - 1/4*t**4 + 4*t - b*t**3 - 2*t**2 = 0.
-4, 0, 1
Let f be (1 - (-116)/8)/((-1)/2). Let a = f - -34. Find u, given that 18*u**2 - 12*u**2 - 9*u**2 + 3*u**a = 0.
0, 1
Let n(z) be the third derivative of z**6/4 - 561*z**5/20 + 987*z**4 - 392*z**3 + 2*z**2 - 4*z - 54. Determine r, given that n(r) = 0.
1/10, 28
Let u(b) be the first derivative of -5*b**6/36 + 23*b**5/30 + 5*b**4/24 - 107*b**3/18 + 4*b**2 + 6*b + 844. Let u(n) = 0. What is n?
-2, -2/5, 1, 3
Let r(u) be the first derivative of -u**4/40 - 119*u**3/30 - 499*u**2/10 - 88*u + 1512. Determine h so that r(h) = 0.
-110, -8, -1
Let t(b) = 9*b**3 + b**2 - 14*b - 63. Let d be t(-3). Let c be 34/d*(-5)/1. Factor -1/3*i**5 + c*i**4 + 0 - 2/3*i**2 + 0*i**3 + 1/3*i.
-i*(i - 1)**3*(i + 1)/3
Suppose 5*p - 45 = 20. Suppose -3*y = -p + 1. Factor 4*m**4 + y - 8*m**2 + m**3 + 7*m**3 + 0*m**2 - 10*m**5 + 6*m**5 - 4*m.
-4*(m - 1)**3*(m + 1)**2
Let z(d) be the first derivative of -d**5/630 - 4*d**4/63 + 17*d**3/63 + 223*d**2/2 + 110. Let p(s) be the second derivative of z(s). Solve p(i) = 0 for i.
-17, 1
Let y(v) = -231*v - 459. Let h be y(-2). Let n(o) be the first derivative of -4/7*o + 6/7*o**2 + 4 - 3/7*o**h. Suppose n(x) = 0. What is x?
2/3
Let a = 797 + -820. Let p be (-56)/420 + a/(-60). Factor 1/2*h + 1 - 1/8*h**3 - p*h**2.
-(h - 2)*(h + 2)**2/8
Let j = -136 - -130. Let o be (j/32)/(-6 + (-138)/(-24)). Factor -75/4*t + 15/2*t**2 - o*t**3 + 0.
-3*t*(t - 5)**2/4
Let v(u) = 157*u**2 - 22*u + 105. Let n(h) = 45*h**2 - 8*h + 35. Let r(y) = 7*n(y) - 2*v(y). Determine g so that r(g) = 0.
5, 7
Let m(a) be the first derivative of -20*a**4 + 4/5*a**5 - 104*a**2 + 68*a + 72*a**3 - 38. Determine f so that m(f) = 0.
1, 17
Let w = 50 + -47. Suppose -17 = -w*g - 11. Find q, given that 2*q + 2 + q**g - 2 - 4*q = 0.
0, 2
Let o be (-495)/(-297)*(-6)/(-5). Factor 0 + 0*z + 0*z**3 - 1/3*z**4 - 7/6*z**5 + 0*z**o.
-z**4*(7*z + 2)/6
Find h, given that -18/5 + 3/5*h**2 - 3*h = 0.
-1, 6
Let m(r) be the second derivative of -r**4/42 + 2572*r**3/21 - 1653796*r**2/7 + 6186*r. Factor m(j).
-2*(j - 1286)**2/7
Let u(p) = -p**4 + p**3 + p. Let m(i) = i**5 + 5*i**4 - 18*i**3 - 6*i. Let w(l) = m(l) + 6*u(l). Factor w(o).
o**3*(o - 4)*(o + 3)
Let i be ((18/(-8))/(-3))/((-171 - -172)/((-2)/(-3))). Let 1/6*d**4 + i*d**2 - 2/3 - 2/3*d + 2/3*d**3 = 0. What is d?
-2, -1, 1
Factor 13130*l**2 + 43 - 13129*l**2 - 8*l - 69*l + 33.
(l - 76)*(l - 1)
Let a(f) be the first derivative of f**6/33 + 18*f**5/11 - 241*f**4/22 + 886*f**3/33 - 348*f**2/11 + 200*f/11 + 6636. What is v in a(v) = 0?
-50, 1, 2
Let k(l) = -l**3 - 2*l**2 + 4. Let b be k(-2). Suppose 0 = 5*f - 7*f + b. Factor 8*x - x**2 - x**2 - x**f - 5*x.
-3*x*(x - 1)
Let f(c) be the first derivative of c**4 + 64*c**3/3 + 40*c**2 - 1600*c - 105. Solve f(n) = 0 for n.
-10, 4
Let x(r) be the third derivative of -r**6/480 + 11*r**5/240 + 43*r**4/24 + 20*r**3/3 - 553*r**2. Suppose x(c) = 0. Calculate c.
-8, -1, 20
Let p(y) be the second derivative of -1/120*y**4 + 3*y + 1/5*y**3 - 43 - 11/20*y**2. Factor p(x).
-(x - 11)*(x - 1)/10
Suppose 0 = 2*c - 6*v + 5060 - 4982, 3*c = v - 13. Factor -3/2*m + c + 1/4*m**3 + 1/4*m**2.
m*(m - 2)*(m + 3)/4
Let t = 356092 - 712183/2. Factor -1/2*f**3 - 1 + t*f + f**2.
-(f - 2)*(f - 1)*(f + 1)/2
Let o(y) be the second derivative of -y**5/110 + 5*y**4/33 - 25*y**3/33 - 1393*y. Factor o(p).
-2*p*(p - 5)**2/11
Suppose 24/5*l**2 + 3/5*l**3 + 66/5 - 93/5*l = 0. Calculate l.
-11, 1, 2
Let x(g) be the first derivative of g**5/45 + 2*g**4/9 - 13*g - 59. Let w(b) be the first derivative of x(b). Factor w(j).
4*j**2*(j + 6)/9
Let z(u) be the first derivative of 5*u**3/9 + 155*u**2/2 - 227. Factor z(p).
5*p*(p + 93)/3
Suppose 2810*i = 2807*i. Let p(z) be the first derivative of -2/3*z**3 + i*z**2 + 2*z + 24. Find v such that p(v) = 0.
-1, 1
Let p(h) be the first derivative of 8*h + 178/3*h**3 + 248 + 285/2*h**4 - 192*h**2. Factor p(t).
2*(t + 1)*(3*t - 2)*(95*t - 2)
Let s be (-4)/(-5)*(-141)/6345*-225. Solve 2/3*z**3 - 5/3*z**2 + 1/9*z**s + 0 + 8/9*z = 0 for z.
-8, 0, 1
Suppose -5*g - 30 = 315. Let y = 71 + g. Suppose 20*d**4 - 15*d**4 - 11*d**3 + 5*d**y + 21*d**3 = 0. Calculate d.
-1, 0
Let z(k) be the third derivative of k**7/140 + 9*k**6/80 + 13*k**5/20 + 3*k**4/2 - 228*k**2. Suppose z(h) = 0. Calculate h.
-4, -3, -2, 0
Let -15 + l**2 - 7 - 137*l + 69 + 46 + 43*l = 0. Calculate l.
1, 93
Let o be (-18)/(504/266) - -14 - 0. Determine v so that 0*v + o*v**5 + 30*v**2 + 75/2*v**4 - 72*v**3 + 0 = 0.
-10, 0, 2/3, 1
Let a be 2772/112 + (-12)/16. Suppose -2*w - 4*o + a = 4*w, w + 10 = 4*o. Factor 2/9*k**w + 0 - 4/9*k.
2*k*(k - 2)/9
Let y(w) be the third derivative of w**8/84 + 16*w**7/105 + 17*w**6/30 - 14*w**5/15 - 14*w**4 - 48*w**3 + 239*w**2 + 2*w - 2. Find j, given that y(j) = 0.
-3, -2, 2
Let f(j) = j**3 - 4*j**2 - 4*j - 4. Let h be f(5). Suppose 4*w - 3 = h. Suppose -2*d**4 + w - 1 - 3*d**2 + 3*d**4 + 2*d = 0. What is d?
-2, 0, 1
Let -19*s**2 - 1242*s - 17*s**2 - 19*s**2 + 58*s**2 = 0. Calculate s.
0, 414
Suppose 24*o + 14 = -130. Let x(d) = -d**2 - 8*d - 10. Let j be x(o). What is p in 0*p + 4/3*p**j + 0 = 0?
0
Let g(n) be the second derivative of -45/8*n**2 + 1/8*n**4 - 11/16*n**3 - 38*n - 2 + 3/160*n**5. Let g(h) = 0. What is h?
-5, -2, 3
Let c = 951562 + -951562. Let p be (2/(-1))/(2 - 6). Factor 0*x**2 - 1/2*x**3 + 0*x + c + p*x**4.
x**3*(x - 1)/2
Let h = 17 + -9. Let q(j) = -3*j**2 - 91*j - 28. Let d be q(-30). Let -4*w**3 + 4*w**4 + 4*w - 5*w**2 - 5*w**2 + h*w**2 - 2*w**d = 0. Calculate w.
-1, 0, 1
Let j(r) be the third derivative of r**5/150 - r**4/2 + 15*r**3 + 10*r**2 - 4*r - 3. Find w such that j(w) = 0.
15
Let j(x) be the first derivative of x**5/10 - 3*x**4/4 + 3*x**3/2 - 3435. Factor j(c).
c**2*(c - 3)**2/2
Let q(g) be the first derivative of -g**6/21 - 22*g**5/7 - 512*g**4/7 - 4464*g**3/7 - 3888*g**2/7 + 23328*g/7 - 895. Let q(s) = 0. Calculate s.
-18, -2, 1
Let u(o) = 7*o**4 + 29*o**3 + 24*o**2 + 6*o + 2. Let s(b) = -6*b**4 - 29*b**3 - 24*b**2 - 7*b - 3. Let a(w) = 2*s(w) + 3*u(w). Factor a(p).
p*(p + 1)*(p + 2)*(9*p + 2)
Factor 3/7*f**4 - 1566/7*f**3 - 15804072/7*f