8))/(1/4052). Suppose r - 2536 = 4*k, -2*k - 4*r + 776 = b. Find the common denominator of -89/2 and 1 + k/(-180) + 15/(-25).
12
Suppose -2*q = -n + 4 - 16, 20 = 2*q - 5*n. Let z be (-1394)/42 + q - 1/(-3). Let c = z + 26. What is the common denominator of c and 3/2?
14
Suppose 19*i + 396 = 15*i. Let a = -74 - i. Find the common denominator of 275/30*(-5)/a and 35/3.
6
Let q = -3145/8 - -2061. Let o = 1657 - q. What is the common denominator of o and -77/48?
48
Let l = 7162 + -5727. What is the least common multiple of 50 and l?
14350
What is the common denominator of 101/44 and (242/(-33) - -9)*-3 + 4958/968?
484
Let t = -69 + 76. Suppose -3*q + 21 = -f, -8*q - 2*f = -t*q. What is the least common multiple of 14 and q?
42
Let l = -1152 + 11551/10. Calculate the common denominator of 3*(-28)/120 + -1 and l.
10
Let k(t) = -20*t - 1983. What is the lowest common multiple of 11 and k(-113)?
3047
Let r = 1/748065 + -2592294583/2244195. Let k = 6280/9 + r. Let v = k + 54859/120. What is the common denominator of v and -97/32?
160
Let u be (1804/(-12) + -1)/((-2)/56). Let w = u + -1665401/393. Find the common denominator of -49/11 and w.
1441
Let r = 6288/39395 - 151268739/24976430. Let w = r - 1/317. Find the common denominator of w and -137/30.
30
Suppose 18*s = 15*s + 9. Suppose 255 = -5*h + 2*i, 2*h - 5*i = -s*h - 270. Let f = h - -54. What is the least common multiple of f and 6?
30
What is the common denominator of (4458/(-318) - -14)/((-7)/(861/30)) and -19/106?
530
What is the common denominator of -39/412 and (-13)/(-1339)*(-380)/(-44)*(-3)/(-6)?
4532
Suppose 9 - 45 = -4*t. Let o(g) = -g**2 + 40*g - 3. Let l be o(19). Calculate the smallest common multiple of (-1)/7 - l/(-77) and t.
45
Let j be -1 - -4 - ((-15)/5 - -2). Suppose j*t - 3*g = 5*t - 6, -4*g = -5*t + 125. What is the lowest common multiple of 66 and t?
462
Let b be -91 + 2 + 5 + -2. Let y = b + 69. What is the common denominator of y + 14 + (-139)/(-42) and -85/24?
168
Suppose 23*d = 27*d - 16. Let h be (d + 0 - 14)*-1. Let a(q) = 6*q - 27. What is the least common multiple of a(h) and 21?
231
Suppose -37*s + 36*s + 13 = 0. Find the common denominator of -101/6 and 0/2 + s/((-5980)/42).
690
Suppose 0 = 20*y - 8*y + 12. Find the common denominator of (-13244)/3483 + y/(-3) + 4 and -31/27.
81
Suppose 6 = 2*l + 6*v - 4*v, -l + 3 = -v. Let u(p) be the first derivative of p**3/3 - 3*p**2/2 - 22*p + 21. What is the least common multiple of l and u(-5)?
18
Let v be 15*((-4)/10)/(-1). Let t(b) = -b**2 + 7*b - 2. Let k(r) = 5*r**2 + 205*r - 208. Calculate the least common multiple of k(-42) and t(v).
4
Let r(m) = 9*m**3 + 5*m**2 - 4*m - 2. Let n be r(2). Suppose 0 = 7*y - 5*y - n. Let u = -35 + y. Calculate the least common multiple of u and 8.
24
Calculate the common denominator of ((-684)/(-344) + 9 + -11)*95 and 9/86.
86
Let c(i) = -2*i**2 + 277*i + 435. What is the lowest common multiple of c(140) and 1428?
7140
Let i = 29916173853/11360 + -2633466. What is the common denominator of -11/72 and i?
102240
Suppose -5*q = -3*r + 15, -2*r - 14 = 2*q + 8. What is the common denominator of 128/(-54) + (-2 - (-8 - q)) and -1 + 137/(-546) + (-26)/169?
378
Let x = 75097 - 4956563/66. Let o be -1 - (-605252)/35256 - 2. Let k = o + -1/1469. Find the common denominator of x and k.
66
Let c = 1288743 - 1804240279/1400. Calculate the common denominator of c and -55/21.
4200
Let z = -6075 - -48651/8. Calculate the common denominator of -33/4124 and z.
8248
Let x = 46 + -52. Let z be -6 + x/(-9) + (-4)/6. Find the common denominator of 2/4 - (6 - 64/z) and 39/20.
60
Suppose -2768 + 284 = -9*t. Let h = 300 - t. Calculate the smallest common multiple of 27 and h.
216
Let u = 37 + -19. Calculate the least common multiple of u and 2/(-11)*(-2266)/(-412)*(-51 + 0).
306
Let v(q) = 53*q**2 - 63*q. What is the least common multiple of v(4) and 745?
2980
Let x = 2118 + -2074. What is the lowest common multiple of 92 and x?
1012
Suppose 1548 - 260 = 2*x. Suppose -3*i = -2711 + x. Calculate the least common multiple of i and 8.
5512
Let h = 8914/5559 - 147/109. What is the common denominator of 14/297 and h?
5049
Let m(h) = h**3 + 8*h**2 - 21*h - 54. Calculate the lowest common multiple of 96 and m(-6).
288
Let y be 41478/5356 - 4/(-26). Let z = -20/309 + y. Calculate the common denominator of 84/81*3/(-2) and z.
18
Suppose -1255 - 2114 = -7*b + 3*c, 3*c = -9. What is the lowest common multiple of 90 and b?
1440
Let u be ((-6507)/(-348) + 3)/(-5). Let b = u + 78/29. Calculate the common denominator of b and (12/(-8))/(1740/2929).
40
What is the common denominator of 36/899 and -7 + (174/29 - 250/(-279))?
8091
Let x(k) = -6*k - 24. Let s be x(-7). What is the common denominator of (14 - 10) + 34/s and 962/180 - (-3 + 200/72)?
90
Let r = -588/145 - -599/870. Let p = -147/23 - -829/414. Find the common denominator of p and r.
90
What is the smallest common multiple of (35 - 1491/42)*7104/(-2) and 666?
5328
Suppose 0 = 4*o - 9*o + 25. Calculate the smallest common multiple of (1/o)/((-3)/(-10))*6 and ((-12)/10)/((-4)/30).
36
Let g(f) = f + 1. Suppose -25*w - 644 = -2*w. What is the lowest common multiple of ((-20)/14)/(w/(-49))*-4 and g(3)?
20
Find the common denominator of -75/988 and ((-3)/7)/((-15)/154*200/(-150)).
4940
Suppose -2*w = 2*j - 554, 0 = j - 5*w + 2*w - 277. Let r = j - 109. Calculate the least common multiple of r and 22.
1848
What is the smallest common multiple of 1/2 - 81/138 - 13987/(-4531) and 657?
657
Suppose 0 = -3*t + 5*f + 48, 3*t + 14 = 4*f + 59. Let w = -30375 - -30380. Calculate the smallest common multiple of t and w.
55
Let x be (-1)/((-2)/84) + 1 + 1. Let n = 58 - x. Calculate the common denominator of 145/((-1085)/n - 2/4) and -29/2.
78
Calculate the common denominator of -77/234 and -21*11/77 - (-7895)/2574.
2574
Suppose 2*u - 5*x = -48710, -97420 = 5*u - u + 3*x. Let i = u - -43376257/1781. Let l = i - 105099/17810. Find the common denominator of l and -9/23.
230
Let f(l) = l**2 + 5*l - 19. Let u be f(-8). Suppose 4*c + 32 = -3*p, 8 = p - u*c - 13. Calculate the smallest common multiple of p/((-16)/(-10) - 2) and 2.
10
Let d(l) = l**3 + 35*l**2 - l + 7. Suppose 6 + 6 = i. Calculate the lowest common multiple of i and d(-35).
84
Let g = -36522 + 1752923/48. What is the common denominator of 23/888 and g?
1776
Suppose 0*w + 10 = -3*w + 4*q, 20 = 5*q. Suppose -3*d + 5*z = z - 249, -d = -w*z - 85. Calculate the least common multiple of d and 9.
711
Suppose -9*g + g + 264 = 0. What is the smallest common multiple of g and (1196/92)/(-2 - -3)?
429
Let h = 283 + -1215. Let j = h + 2032. Calculate the smallest common multiple of j and 10.
1100
Let d = 1437893/111 + -12954. Find the common denominator of (-215)/12*4/10 and d.
222
Let k be 18/6 - (0 + 1 + -4667). Let y = k - 60752/13. What is the common denominator of y and 40/3?
39
What is the least common multiple of 144 and (103/(-206))/(1/(-1038))?
24912
Let y(o) = 3*o + 27. Let u be y(-8). Suppose -u*a + w + 707 = 0, -3*w + 300 = -4*a + 1251. Find the common denominator of (-3)/(-14)*9373/a and -43/3.
12
Let c(u) = 8*u**2 - 2*u - 6. Let n be c(3). Suppose -2*m + 68 = o - 6*o, -3*o = 3*m - n. What is the lowest common multiple of (-3)/m - (-33)/8 and 20?
20
Let j = -38202 + 17041. Let f = j + 1692853/80. Find the common denominator of f and -93/2.
80
Let y be (1/2)/((-25)/350). Find the common denominator of ((-5)/(80/(-72)))/(y/12) and -48/49.
49
Let m = 49859 + -2493059/50. Find the common denominator of m and -81/610.
3050
Suppose -4*b + j = -35, 5*j + 92 = 97. Let w(i) = -19*i - 4. What is the lowest common multiple of b and w(-1)?
45
Find the common denominator of 59/604 and (10/105)/(((-36)/49)/((-2403)/126)).
5436
Let x be 1 + ((-375)/(-30))/(2/12). Let k = x - -508. What is the least common multiple of 18 and k?
5256
Let s be 12/(-24) + (104/(-70))/(-2). Let g = s - 681/560. What is the common denominator of -85/28 and g?
112
Let b = 30/12983 - -592201/7789800. What is the common denominator of -11/120 and b?
600
Calculate the smallest common multiple of 120 and -5 + 2/14 + 1210/7.
840
Let f(q) = -2*q + 8. Let s be f(2). Suppose -5*t + s*t - 3*u - 4 = 0, -5*t = 5*u. Calculate the least common multiple of 20 and t.
20
Let l =