9/(-153)). Let z(d) be the third derivative of 0 + 2/9*d**3 + 16*d**2 + 1/9*d**4 + g*d**5 + 0*d + 1/360*d**6. Factor z(q).
(q + 1)*(q + 2)**2/3
Let t be (-34)/(-3) - (2/(-3))/1. Factor -11*n**2 - 6*n**3 - n**4 - 6*n**4 - t*n + 32*n**2 + 4*n**4.
-3*n*(n - 1)**2*(n + 4)
Let t(m) = 1235*m + 49400. Let l be t(-40). Factor 0*s**4 + l + 0*s + 0*s**2 + 0*s**3 + 1/4*s**5.
s**5/4
Let b = 4736 - 71038/15. Let w(a) be the second derivative of 0 + 0*a**3 + 1/3*a**4 - 1/10*a**5 + 1/21*a**7 + 0*a**2 - 31*a - b*a**6. Factor w(d).
2*d**2*(d - 2)*(d - 1)*(d + 1)
Suppose -6*m + 38 = 14. Suppose -4*j - m*w = -2*j, -j + 12 = -w. Factor 22*f**3 + 0 + 22*f**3 - j*f + 0 + 36*f**2.
4*f*(f + 1)*(11*f - 2)
Let z(r) be the first derivative of r**6/30 - 14*r**5/25 + 7*r**4/4 - 22*r**3/15 + 328. Let z(s) = 0. Calculate s.
0, 1, 2, 11
Suppose -54*h + 8 = -50*h - 2*p, -p = -5*h + 10. Let 2/21*v**3 - 8/21 - 4/7*v**h + 6/7*v = 0. Calculate v.
1, 4
Let z(l) = 10*l**2 - 345*l + 2882 + 3170 - 3*l**2 + 6*l**2 + 1013. Let c(f) = 3*f**2 - 86*f + 1766. Let t(o) = 18*c(o) - 4*z(o). Find s such that t(s) = 0.
42
Factor 15*k**4 - 675*k + 3285*k**2 - 51962 + 447*k**3 + 51962.
3*k*(k + 15)**2*(5*k - 1)
Let f be 114/18 - 30745/(-2535). Suppose -f*g - 2/13*g**3 - 42/13*g**2 - 200/13 = 0. Calculate g.
-10, -1
Suppose -3*o + 2 - 27 = 2*j, 2*o = 5*j + 15. Let c be (-2 + 1)*j/10. Solve -c*i**4 + 1/2*i**3 + i**2 + 0 + 0*i = 0.
-1, 0, 2
Let f(l) be the second derivative of -1/8*l**4 - 4*l - 11/4*l**3 + 4 + 9*l**2. Factor f(w).
-3*(w - 1)*(w + 12)/2
Suppose -5*n**2 - 12 - 55*n - 6*n**3 + 2*n**2 - 6*n**2 + 79*n + 3*n**4 = 0. Calculate n.
-2, 1, 2
Factor -69/5*u + 744/5 - 3/5*u**2.
-3*(u - 8)*(u + 31)/5
Suppose 6*a = -21*a + 54. Factor 27*o - 361 - 4*o**2 - 10*o + 21*o + 11*o**2 - 8*o**a.
-(o - 19)**2
Let g be 41/44 + (39 - (-5 + 42))/(-11). Factor 3/8*a**4 - 9/8*a**2 + 0*a**3 - g*a + 0.
3*a*(a - 2)*(a + 1)**2/8
Let s = -691 + 230795/334. Let x = s + 331/1002. Solve -4/3*n + 0 - x*n**2 = 0.
-4, 0
Solve -219 + 24 - 350*r**2 + 356*r**2 - 63*r = 0.
-5/2, 13
Suppose -3949 = -48*v + 59*v. Let s = 362 + v. Determine f so that -1/2*f**s + 5/2*f - 2*f**2 + 0 = 0.
-5, 0, 1
Let d(z) be the first derivative of 11*z**3/3 - 41*z**2 - 40. Let c(y) = 2*y**2 - 14*y. Let m(o) = -34*c(o) + 6*d(o). Let m(f) = 0. What is f?
-8, 0
Let j(d) be the third derivative of -14*d**2 + 1/270*d**5 + 0*d**3 - 1/108*d**6 - 2/945*d**7 - 1 + 0*d + 1/18*d**4. Let j(u) = 0. Calculate u.
-2, -3/2, 0, 1
Let c be 7 - (-10 + -2 + 0). Find z such that -132*z**2 + c - 1 + 123*z**2 + 21*z = 0.
-2/3, 3
Let m(q) be the third derivative of 4/5*q**3 + 17/40*q**4 - 4*q**2 + 1/200*q**6 + 1/10*q**5 + 5 + 0*q. Solve m(a) = 0.
-8, -1
Let n be 2/(-15) - 154/(-30). Let 223*c**2 - 129*c**3 - 46*c**3 - c**4 + 30*c - 108*c**2 + 6*c**4 + 25*c**n = 0. Calculate c.
-3, -1/5, 0, 1, 2
Let h(s) be the first derivative of 11 - 6*s - 1/6*s**3 + 7/4*s**2. Factor h(x).
-(x - 4)*(x - 3)/2
Let i be 15/(-10)*24/(-9). Factor -11*f - f**2 - i*f - 5*f - 56 - 2*f**2 + 7*f**2.
4*(f - 7)*(f + 2)
Let b(y) be the first derivative of y**7/350 - y**5/100 - y**2/2 + 7*y - 57. Let o(f) be the second derivative of b(f). Solve o(l) = 0 for l.
-1, 0, 1
Let a(q) = q**4 + 4*q**3 - 57*q**2 - 54*q + 273. Let u(x) = 2*x**4 + 9*x**3 - 108*x**2 - 111*x + 545. Let s(z) = -5*a(z) + 3*u(z). Factor s(h).
(h - 3)**2*(h + 3)*(h + 10)
Let -112/5*i**2 - 28*i + 144/5 - 1/5*i**5 - 32/5*i**4 + 141/5*i**3 = 0. What is i?
-36, -1, 1, 2
Suppose -4*w + 4*u = 28, -1322*w - 2*u = -1323*w - 16. Factor 12/5 + 2/5*s**w + 2*s.
2*(s + 2)*(s + 3)/5
Let o(s) be the first derivative of 2*s**2 - 7/20*s**5 + s - 54 + 1/4*s**3 - s**4. Let o(b) = 0. Calculate b.
-2, -1, -2/7, 1
Let r(k) be the first derivative of k**8/3360 + k**7/1680 - k**6/144 + k**5/80 + 5*k**3/3 + 92. Let b(w) be the third derivative of r(w). Factor b(p).
p*(p - 1)**2*(p + 3)/2
Let a = 10044/59 + -29896/177. Determine w so that -2 - 1/6*w**2 + a*w = 0.
2, 6
Let f(u) be the third derivative of 0*u**3 + 0*u + 1/66*u**4 - 1/330*u**5 - 5 + 28*u**2. Determine o so that f(o) = 0.
0, 2
Let j(d) be the first derivative of -5*d**4/4 - 100*d**3/3 - 265*d**2/2 - 170*d + 572. Determine z, given that j(z) = 0.
-17, -2, -1
Let j(v) = 43*v + 46. Let a be j(-1). Let t(l) be the third derivative of -5/24*l**4 + 5/3*l**a + 0*l + 0 - 1/12*l**5 - 10*l**2. Suppose t(b) = 0. What is b?
-2, 1
Let n(g) be the first derivative of g**4/2 + 500*g**3/3 - 757*g**2 + 1012*g - 6989. What is c in n(c) = 0?
-253, 1, 2
Let y(f) be the first derivative of 0*f - 29 + 7/12*f**3 - 3/8*f**2 - 5/16*f**4 + 1/20*f**5. Let y(l) = 0. Calculate l.
0, 1, 3
Let a(m) be the third derivative of 2*m**7/105 + 51*m**6/10 + 1091*m**5/3 - 10191*m**4/2 + 49928*m**3/3 - 3470*m**2. What is s in a(s) = 0?
-79, 1, 4
Let a(f) be the first derivative of -3*f**4/28 + 138*f**3/7 - 9522*f**2/7 + 292008*f/7 - 707. Factor a(z).
-3*(z - 46)**3/7
Suppose -44 = 4*k - 116. Factor -17*l - 2*l**2 + 51*l - 50 + k*l.
-2*(l - 25)*(l - 1)
Suppose 0 = -2*l - 5*z - 10, -14*z + 10*z - 8 = -2*l. Suppose -q + 3*g = -14 + 4, -3*g - 6 = l. Let -3/5*m**q + 0 + 12/5*m**3 - 3*m**2 + 6/5*m = 0. Calculate m.
0, 1, 2
Suppose -3562*a + 55 = -1422*a - 1630*a - 1475. Factor a*q + 16/3 - 5/2*q**2 - 1/6*q**3.
-(q - 2)*(q + 1)*(q + 16)/6
Suppose -12*n = -5*n + 714. Let j = 105 + n. Factor 12 + 20*i**2 - 4*i**j + 3*i**3 - 28*i + 0*i**3 - 3*i**3.
-4*(i - 3)*(i - 1)**2
Factor 4008*r - 251504*r**3 + 125755*r**3 + 125752*r**3 - 802*r**2 - 1208*r**2.
3*r*(r - 668)*(r - 2)
Let t(w) be the third derivative of w**5/20 - 2681*w**4/4 + 7187761*w**3/2 - 4526*w**2. Determine v so that t(v) = 0.
2681
Let k(b) = 6*b - 57. Suppose 6*a - 100 = -4*a. Let g be k(a). Determine j so that -3/7*j**2 + 0 + 9/7*j**g - 9/7*j**4 + 0*j + 3/7*j**5 = 0.
0, 1
Let s(c) be the first derivative of -c**5/25 + 2*c**3/5 - 4*c**2/5 + 3*c/5 - 1607. Let s(k) = 0. What is k?
-3, 1
Let r be 0/2*56/3696*6. Let s(g) be the second derivative of 34*g - 1/50*g**5 - 1/3*g**3 + r - 2/15*g**4 - 2/5*g**2. Factor s(h).
-2*(h + 1)**2*(h + 2)/5
Suppose p + 5*x - 11 = 16, 5*p - 2*x = 0. Let -3*t + t**3 - 11*t**p + 26*t**2 + 2*t**3 - 1 - 14 = 0. What is t?
-5, -1, 1
Factor 0*a + 4/3*a**3 + 0 - 1/3*a**4 + 4*a**2.
-a**2*(a - 6)*(a + 2)/3
Suppose -20 = -4*b - 5*p, -4*b + 7*b = 5*p + 50. Factor 5*v - 9*v + b - v + 5*v**4 - 15*v**2 + v**3 + 4*v**3.
5*(v - 1)**2*(v + 1)*(v + 2)
Suppose -r - w = -5*w + 8, -2*w - 2 = -2*r. Let o be 108/(-81)*(-9)/r. Factor 2*a**2 + o - 4 + 0*a**2 - a**2.
(a - 1)*(a + 1)
Let j(b) = 20*b**3 - 5900*b**2 + 413681*b + 3192022. Let u(w) = -w**3 + 295*w**2 - 20684*w - 159601. Let i(m) = 6*j(m) + 118*u(m). Factor i(z).
2*(z - 151)**2*(z + 7)
Let j = 1373259 + -1373256. Factor 1/4*k**4 + 23/2*k + 12*k**2 + 15/4 + 9/2*k**j.
(k + 1)**3*(k + 15)/4
Let u(n) be the first derivative of n**4/66 + 34*n**3/33 - 72*n**2/11 + 80*n + 170. Let i(v) be the first derivative of u(v). Determine w so that i(w) = 0.
-36, 2
Let x be 4/(-6) + 52/(-12). Let h be (-318)/(-15) + 1/x. Suppose -6 + 5*d - h*d + 13*d**2 + 4*d**3 - 9*d**2 - 10 = 0. Calculate d.
-2, -1, 2
Let n(m) = -m**3 - 7*m**2 - 3*m + 18. Let t be n(-6). Suppose 4*f + 28 = 4*o, -f - 2 - 3 = t. Factor 0*y + 3/5*y**o - 3/5.
3*(y - 1)*(y + 1)/5
Factor -1/3*s**2 - 148/3*s - 292/3.
-(s + 2)*(s + 146)/3
Let t(q) be the first derivative of 15/8*q**2 + 14 - 1/12*q**3 - 7/2*q. Factor t(n).
-(n - 14)*(n - 1)/4
Let b(y) = y**2 + 3*y - 4. Let g be b(0). Let o(u) = -80*u**2 + 755*u. Let n(w) = -9*w**2 + 84*w. Let c(z) = g*o(z) + 35*n(z). Factor c(k).
5*k*(k - 16)
Let m(g) = -2*g**4 + 14*g**3 - 65*g**2 - 5*g. Let d(h) = 2*h**4 - 16*h**3 + 66*h**2 + 4*h. Let n(i) = 5*d(i) + 4*m(i). Let n(p) = 0. What is p?
0, 5, 7
Let j(s) be the second derivative of -2*s**2 - 2 + s**3 - 1/6*s**4 + 11*s. Solve j(c) = 0 for c.
1, 2
Let c(m) be the first derivative of 5*m**3/12 + 315*m**2/8 - 710*m + 7524. Factor c(u).
5*(u - 8)*(u + 71)/4
Let o(w) be the second derivative of w**5/15 - 10*w**4/3 + 200*w**3/3 - 3*w**2/2 + 4*w - 2. Let p(j) be the first derivative of o(j). Let p(u) = 0. What is u?
10
Let b(a) be the third derivative of -a**6/900 + a**5/150 + 7*a**4/45 - 4*a**3/3 - 1241*a**2. Factor b(g).
-2*(g - 6)*(g - 2)*(g + 5)/15
Factor 5/7*z**5 + 4/7 - 4/7*z + 5*