e 4/((-216)/161967) - -4. Let r = j - -2994. Find the common denominator of r and 42/(-252)*87/4.
72
Suppose -6*s - 21 - 223 = -7*s. What is the least common multiple of s and 6?
732
Suppose f + 430 = h, f + 1627 = 5*h - 519. Calculate the smallest common multiple of 1144 and h.
3432
Suppose -5*j = 4*i + 3 - 16, -2*i + 3 = -j. Let k(a) = -18*a - 2. Let z be k(j). What is the common denominator of -40/9 and (-4)/(56/(-273))*z/198?
99
Let k = 515/2 + -1103/4. What is the common denominator of k and 97/1686?
3372
Let g be (-1316)/(-8)*(-30)/(-105). Suppose 9 = -3*x - 51. Let s = x + g. Calculate the lowest common multiple of s and 12.
108
Let b be 214991/(-294) + -5 + 3/1. Let u = 5116/7 + b. What is the common denominator of u and 16/21?
42
Let n be (-2)/2 - 2*1. Let c(x) = 2*x**2 - 7*x + 1. Suppose 0 = -16*a + 23 + 41. What is the smallest common multiple of c(n) and a?
40
Suppose 5*j + 0*d - d - 415 = 0, 5*j - 400 = 4*d. Let f = -1426 + 1432. Calculate the smallest common multiple of f and j.
84
Let w = -332861 + 215028135/646. What is the common denominator of w and 31/608?
10336
Suppose 44*s + 101 + 75 = 0. What is the least common multiple of 84 and s/(-22) - (-2940)/165?
252
Let f = 84 - 63. Let o(q) = -44*q + 2. Let b be o(-1). What is the smallest common multiple of f and b/115 - 133/(-5)?
189
Suppose f = -21 + 19. Let v be (9 + 2)*(0/(-3) + f). Find the common denominator of 2/(-8) - 48/v and 1/6.
132
Let y(w) = 444*w + 8886. What is the smallest common multiple of 58 and y(-20)?
174
Let k = -534535 + 176396369/330. What is the common denominator of k and -89/1122?
5610
Let b = -367 + 371. What is the lowest common multiple of 40 and b?
40
Let d = -77549/20 + 7743/2. Calculate the common denominator of d and (39/(-30))/((-9)/(-12)).
60
Suppose 31*n - 45*n = -31*n + 18190. Calculate the least common multiple of 55 and n.
11770
Suppose -w - c = -2*w + 5, 0 = 2*w - 4*c - 14. Calculate the common denominator of 21*(3/(-8))/w and (68/(-36))/((-2)/(-3)).
24
Suppose -4*o + 85 = 5*n, -2*n + 64 = 3*o + 2*n. Calculate the smallest common multiple of (904/6)/((21/14)/(72/32)) and o.
2260
Suppose -2*r = -4*r - 1630. Let c = -51 + 67. What is the lowest common multiple of c and (-6)/10 - r/25?
32
Find the common denominator of 15/25*((-11999)/(-702) - 19) and 71/7497.
74970
Let n(g) = -5 - 3*g**2 - 2*g**2 + g**3 + 2*g + 5*g - 4*g. Let k be n(4). Calculate the common denominator of -15/7 and (159/k)/((-22)/3).
154
Let z(r) = -4*r**3 - 22*r**2 + 4*r + 10. Let t be z(-5). Let s = t - -65. What is the smallest common multiple of 25 and s?
25
Suppose 273*v - 567*v = -282*v - 384. Suppose 5*c = -8*w + 3*w + 200, -w = 3*c - 48. Calculate the least common multiple of w and v.
288
Let q(g) be the second derivative of -g**4/12 + 3*g**3 - 2*g**2 + 26*g. Calculate the lowest common multiple of (-16)/(-7) - (-4)/(-14) and q(14).
52
Suppose 0 = 3*i + 2*p - 178, p - 2*p = -i + 51. Calculate the common denominator of (-191590)/(-96255) + 2/(-31) and 194/i*35/(-30).
216
Suppose 5*g + 2*q - 1 = 0, -6*q + q = g + 9. Suppose -3 = z, -8 - g = -2*n + z. Calculate the smallest common multiple of 18 and n.
18
Let c(v) = -v**3 + 2*v**2 - v + 1. Let t be c(1). Let f be (-144)/2*(-2)/(-4). Calculate the common denominator of 33/16 and 50/f + t/3.
144
What is the common denominator of -113/804 and (-21)/10*442/(-234)?
4020
Let j = -1598 - -1515. Suppose -255 - 42 = 3*l. Let i = j - l. What is the lowest common multiple of i and 4?
16
Let j(z) = -119*z + 3. Let c be j(-8). Calculate the common denominator of -19/33 and 3 + 2 - 4*c/660.
33
Let s = 3475867 - 14160682057/4074. What is the common denominator of s and 69/2?
4074
Calculate the common denominator of ((-3216)/576)/(3/(-4)) and 40/1611.
1611
Find the common denominator of -151/2010 and ((-755)/(-150) - 5)/((-14)/(-2345)).
4020
Suppose 3*j = -2*t + 22 - 1, 3*t - 74 = 4*j. Suppose 0*w = -3*w + 12. Let c(y) = y**3 - 4*y**2 + 3*y + 6. What is the lowest common multiple of t and c(w)?
18
Let k = -3 - -11. Let u = k - 3. Calculate the smallest common multiple of u and ((-15)/(-10))/((81/96)/9).
80
Suppose 9*z - 3*z = -720. Calculate the common denominator of 828/z - (14/(-5) - -3) and 37/3.
30
Let k be ((-52)/66)/(16/(-30984)). Let m = 1524 - k. Let a = -2/6495 + 207934/305265. What is the common denominator of a and m?
517
Let j(x) = -8*x**2 + 50*x - 20. Let m be j(8). What is the common denominator of 109/20 and 1/(5/(-25)) + m/(-64)?
80
Let v = -452 - -228. What is the common denominator of -67/28 and 730/v + (-48)/(-84)?
112
Calculate the least common multiple of 216 and (336/(-63) + (-14)/(-2) + -3)*-81.
216
Let g be (-1 - 0) + 3/((-6)/(-10)). Let a(q) = -q**3 + 11*q**2 - 10*q - 7. Calculate the smallest common multiple of 9 and a(g).
585
Let j be (-3 + 2)*5 - -29. Let a be (-55)/(-10)*-9*j/(-9). Let r = -126 + a. Calculate the least common multiple of r and 74.
222
Let b(k) = -k - 9*k - 8 + 5*k + k. Calculate the lowest common multiple of (3 + -1)/2 + 16 + 3 and b(-6).
80
Let i = -84 - -51. Let q be (i/(-5))/(2 + 57/(-30)). Let a = 79 - q. What is the least common multiple of 6 and a?
78
Let t(k) = 2*k + 19*k**2 - 6*k**2 - 869 + 900 + k**3. What is the smallest common multiple of t(-13) and 8?
40
Let d = -66 + 86. Find the common denominator of -99*d/(-2175) - 1 and 57/8.
1160
Let f = 7576/3 - 121321/48. Let g = 28353/29840 - 70/373. What is the common denominator of g and f?
80
Calculate the common denominator of 137/768 and 1797/(-1440) - -2 - (-17 - 1479/(-85)).
3840
Let k = 12 - 8. What is the least common multiple of (((-9)/6)/(-3))/(66/3432) and k?
52
Let u(k) = k**2 - 63*k + 1923. What is the smallest common multiple of 141 and u(0)?
90381
Suppose -o = 5*o - 36. Suppose 0 = -o*j + 3*j - 39. Calculate the lowest common multiple of ((-2)/(-6))/(j/(-156)) and 4.
4
Calculate the common denominator of -83/648 and 21735/(-540)*((-8)/(-28) - 53/210).
3240
Suppose 192 = 2*q - 4*y, -272 = -q - 2*q + 2*y. Let n = 130 - q. Suppose -x + n - 10 = -4*w, -8 = 2*w. Calculate the lowest common multiple of x and 46.
368
Suppose 32 + 28 = 10*r. Suppose -17 = 5*m - 3*l, r*m - l + 9 = m. What is the common denominator of m + 1 + 405/10 and -21/8?
8
Calculate the common denominator of (-73140)/(-7280) - 4/16 - 10 and -57/2002.
2002
Find the common denominator of -9/2944 and 1/23*(-5 + (-2440)/(-400)).
14720
Let l = 8654 + -8290. What is the lowest common multiple of l and 364?
364
Let m be 13 - 2*(-10)/(-4). Let o(n) = m*n**3 + 0*n + 12*n - 7*n**3 - 10 - n - 9*n**2. Calculate the smallest common multiple of 8 and o(8).
56
Calculate the common denominator of ((-6)/1050)/(11 + 923/(-85)) and -71/42.
420
Suppose 5*g - 9*g = -b + 2212, g - 8763 = -4*b. Let y = -43863/20 + b. Find the common denominator of (-2)/11 + (-1011)/2970 and y.
180
Suppose -3*g = -5*c + 10078, 0*c - 5*g = 2*c - 4056. Calculate the lowest common multiple of c and 8.
8072
Suppose -g - 168 = 5*l - 176, -3*g + 5*l + 84 = 0. What is the least common multiple of 1058 and g?
1058
Let k = -78223 + 8447969/108. What is the common denominator of -16/39 and k?
1404
Let d = 374 + -284. What is the lowest common multiple of 48 and 2/(4 - 355/d)?
144
Calculate the lowest common multiple of 13029 and -3 - 1 - (2 - (31 - -5)).
130290
Let u = -5482032/5011 + 1094. Let r = 516145/30066 - u. Let z = -1277 + 7717/6. Find the common denominator of z and r.
6
Suppose r = -2*o + 5480, -2*o + 5474 = -15*r + 13*r. What is the least common multiple of 3 and o?
2739
Suppose 15 = 2*j + 1. Suppose j*r - 132 = r. What is the lowest common multiple of (-1)/(-6) + 501/18 and r?
308
Suppose 831 - 337 = -12*z + 31*z. What is the smallest common multiple of z and 308?
4004
Suppose -3*g - 3*a - 2*a = -151, 0 = -2*a + 10. Let j(o) = -2*o**3 - 123*o**2 - 60*o + 138. What is the lowest common multiple of j(-61) and g?
462
Suppose f + 3125 = -323. Let u = f - -1302. Let r = 4199/2 + u. What is the common denominator of r and 29/3?
6
Let q = 558 - 663. Find the common denominator of (-157)/q - 2/(2 + -8) and -9/25.
175
Let q = 12 + -16. Find the common denominator of 7/152 and (-7)/(-14) + (q - (-248)/28).
1064
Let n(l) = 18*l**2 + 33*l - 163. Suppose 0 = u - 2*p - 1, 5*p + 12 = -3*u + 37. What is th