3 + -243569/66. Calculate the common denominator of b and (3213/(-68))/(-9)*(-1 + 32/(-12)).
44
Suppose -5*d - 5*y = -10*y - 495, -3*y = 9. What is the lowest common multiple of d and 120?
480
What is the common denominator of -163/180 and 19/((-7182)/(-175)) + -1?
540
Let l(q) = 17*q - 814. What is the least common multiple of l(52) and 3?
210
Suppose -z + 0*i + 96 = -4*i, -12 = -4*i. Suppose 20*q - 8*q = z. What is the least common multiple of q and 24?
72
Let y(j) = j**3 - 9*j**2 + 14*j - 10. Let x be y(4). Let c = 49 + x. Calculate the least common multiple of 15 and c.
15
What is the common denominator of 9 + 13 + 18395/(-858) and -29/5250?
57750
Let d = -61 - -61. Suppose -20 = 4*r - 6*r + s, 4*r - 5*s - 28 = d. Let v = 12 + -6. What is the smallest common multiple of r and v?
12
Suppose -4*u + d + 42 = 0, -3*d + 0*d - 16 = -u. Suppose -u = r - 25. What is the smallest common multiple of r and 165?
165
Calculate the least common multiple of (-8)/(-14) - (-45)/((-4095)/(-9776)) and 3.
108
Suppose -409 + 1962 = 5*y - t, 0 = -t + 2. Let d = -271 + y. What is the least common multiple of 40 and d?
40
Let z = -4706/3 + 1559. Find the common denominator of z and -1*111/(-14) - 3 - 4.
42
Suppose -t + 2*n + 3 = 0, -4*n + 8 = -5*t + 29. Suppose 29*u - 140 = t. Calculate the lowest common multiple of 36 and u.
180
Let b be ((-18)/(-5))/3*(12 - -38). Suppose 0 = t + t - b. Let g = -15 - -21. Calculate the smallest common multiple of t and g.
30
Let b = 26817 + -456455/17. Let w = b + 9637/340. Calculate the common denominator of 2 - (301/168*4)/(-2) and w.
60
Calculate the smallest common multiple of (9/5)/((-114)/(-30020)) and 1738.
5214
Let m(z) = 177*z - 12. Let o be m(4). Let y be ((-4)/o)/((-20)/(-5526)). Let b = y + 2/435. Find the common denominator of b and -43/6.
12
Let i(t) = t**3 + 8*t**2 - 3*t - 4. What is the lowest common multiple of i(-8) and 6/(((-228)/8)/(-19))?
20
Suppose -171*m - 1364 = -90*m - 112*m. Suppose 5*g = g + 64. What is the least common multiple of m and g?
176
Suppose 0 = 3*q + 95*f - 100*f - 100, 2*q - 54 = -3*f. Suppose 0*n = -3*m - 4*n + 43, 0 = -2*n - 10. What is the smallest common multiple of q and m?
210
What is the common denominator of (-10)/1625*120/(-36)*(-327)/8 and -101/780?
780
Suppose 3*y = -c + 18, 3*c - c - 4*y - 16 = 0. Suppose 3*z = z - c. What is the common denominator of -52/27 and (-21)/(-72)*1 - 1/z?
216
Let t be (-45)/(-340)*27 - -3. Let x = 8/51 - t. Calculate the common denominator of x and (-7)/2*(-186)/(-14).
12
Let h(i) = -3*i**2 + 13*i + 132. Suppose a - 4*g - 5 = -6*g, -19 = -3*a - 5*g. Let q = a + -7. Calculate the least common multiple of q and h(9).
6
Let s be 114/(-22) + 280/88 + -3. Calculate the smallest common multiple of 32 and (6/s)/(6/(-280)).
224
Calculate the lowest common multiple of 3440 and 125/(-10)*-2*(84/20 + -3).
10320
Suppose -f - s = -19, 21*s - 15 = -3*f + 24*s. Suppose t - 3 = 1. What is the least common multiple of f and t?
12
Let m = 5142 + -4498. What is the lowest common multiple of 184 and m?
1288
What is the least common multiple of 3472 and ((-3)/(-8))/(820/26240)?
10416
Suppose 29*v - 28*v = -4*c + 29, v = 5*c - 16. What is the least common multiple of v and 207?
207
Let h = 40 - 36. Let q be (3 + -11 + h)/1. What is the common denominator of 1/4 and (-18)/144*(-142)/q?
16
Suppose n + 104 = -4*s + 612, -3*s + 2*n = -370. Calculate the smallest common multiple of s and 16.
1008
Calculate the common denominator of -61/1335 and (-10)/3*(2 - (34/3 + -7)).
4005
Let m = 20 - 11. Let t(c) = 6 + 8*c**3 + c - 9*c**2 - c + 2*c - 7*c**3 - 18. Calculate the least common multiple of 36 and t(m).
36
Let q = -55303487/59592 - -343172/573. Let a = q + 4328/13. Find the common denominator of a and (-2 - 8)*(-100)/96.
24
Suppose -j - t + 16 = 0, 3*j - 4*t = -3*t + 32. Let x = 14797/13 - 1134. Find the common denominator of x and 3/9 - 214/j.
26
Suppose -18 = 3*y - 27. Suppose -3*i + 6 = y*i. What is the least common multiple of 1 and (-3 + 2)*(-5 + i)?
4
Suppose 0*r + 5 = 5*r. Find the common denominator of -1*(-9)/8 - r and 4/(-360)*179 + (-12)/(-20).
72
Let w = -97/2 - -50. Let g = 375833611/78835446 + -272/74233. Let y = -5/354 - g. What is the common denominator of w and y?
18
Suppose -2*s + 8*n - 12 = 4*n, 3*s - 3*n + 3 = 0. Let k = -4 + 22. Suppose -r + k = 2*v - 0*v, 5*r = -4*v + 60. What is the lowest common multiple of r and s?
8
Suppose -499*r = -506*r + 86373. Let d = -3072352/249 + r. What is the common denominator of -52/11 and d?
2739
Suppose -5*j + 2*b + 45 = 0, 91*b - 64 = -4*j + 87*b. What is the lowest common multiple of j and 70?
770
Suppose 2*q + 3*p - 23 = 0, 5*p + 32 = 3*q + 7. Suppose 68*k - 436 = -41*k. What is the least common multiple of q and k?
20
Let n = -18141/50320 + 1/592. Find the common denominator of 1 + (-394)/(-204) - 3 and n.
510
Let i(v) = 11*v**2 + 1. Suppose 0 = -219*u + 183*u + 648. Calculate the least common multiple of u and i(1).
36
Calculate the common denominator of -23/342 and 38/4*42/(-28) + 24 + -19.
684
Suppose -4*j - 7520294 = 4*p - 5*p, 5*j + 3*p = -9400376. Let y = 564021313/300 + j. Let x = -126/25 - y. Calculate the common denominator of 43/8 and x.
24
Let h(c) = 27*c + 1865. Let j(w) = 7*w**2 - 4*w + 7. Let z be j(5). Let b = -106 + z. Calculate the least common multiple of b and h(-69).
56
Let g(d) = -45*d - 279. Let h be g(-25). Let y = h - 4183/5. Calculate the common denominator of -31/46 and y.
230
Suppose 3*o + 4 = 5*w - 21, -3*w = 4*o - 15. Suppose s - 4 = -k + 1, k = -5*s + w. What is the least common multiple of (-3)/7 + (k - 40/(-28)) and 10?
30
What is the common denominator of (11/33 - (-4)/(-6))/(30/(-610)) and 63/400?
3600
Calculate the common denominator of 51/472 and 249/(-1328) + 261/528.
5192
Calculate the least common multiple of (180/28)/(168/1960) and 1 + 26/3*3.
675
Let k(o) = -10*o**3 - 2*o**2 - 4*o - 3. Let w = -175 + 94. Let y = -82 - w. What is the lowest common multiple of k(y) and 15?
45
Calculate the common denominator of 28/(-4) - (-178)/(-64)*(3 - 6) and 7/752.
1504
Let p = 6633641315/684 - 29094842/3. Let u = p + -17/171. Calculate the common denominator of u and 1/(4/(-16) - (-644)/1936).
20
Let f = -173/75 - 2933/300. Let u(x) = x**2 + 42*x - 85. Let y be u(2). Calculate the common denominator of y*(-2)/(-40)*2948/(-132) and f.
60
Let z be 2/9 - (-7)/((-189)/(-453)). Let a = 22 - z. Suppose 0*w + 2*w = -5*m + 15, -3*w - a*m + 35 = 0. Calculate the smallest common multiple of w and 4.
20
Let n = -3287/21 - -3197/21. Calculate the common denominator of n and 124/12*3/(-119).
119
Suppose g - 119 = 3*p, 4*p - 534 = -3*g - 216. What is the least common multiple of 913 and g?
9130
Let h = 1853/63 + -188/7. Let v(s) = s**2 - 10*s - 11. Let k be v(9). What is the common denominator of ((-3)/k*1)/((-5)/190) and h?
90
Suppose 0 = -3203*n + 3181*n + 21472. Calculate the smallest common multiple of 2440 and n.
4880
Let m = 474 + -316. Let f = 222 - m. Calculate the smallest common multiple of f and 8.
64
Let v(x) = x**3 + 8*x**2 + x + 14. Let s be v(-8). Calculate the common denominator of 2/9 - 893/(-72) and (s/(-5))/((-30)/500).
8
Suppose 10 + 0 = -5*u, 0 = 3*z + u + 20. Let g = 202 - 2735/14. What is the common denominator of 0/z + 41/36 and g?
252
Suppose -7*g + 41319039 = 10771564. Let i be (2/10)/(3 + (-13091985)/g). Let x = i + 4152. What is the common denominator of 95/16 and x?
336
Suppose -153 = -6*l + 315. Suppose 316 = 3*r - 4*c, c = -4*r + l + 356. What is the smallest common multiple of r and 12?
108
Suppose 3*t + 162 = -2*i, 2*t + 5*i + 59 = -49. What is the common denominator of -89/15 and -2 + (-3)/(t/169)?
90
Find the common denominator of ((-20915)/8460)/((-6)/4) and 16/105.
1890
Suppose -4*z + 316 = 4*a, z - 7844*a = -7846*a + 78. What is the least common multiple of z and -1*(0 - (-1 - -7))?
240
Suppose 0 = 37*r + 57*r - 142 - 2114. What is the smallest common multiple of 3370 and r?
40440
Let b be (-20)/(-60)*(-5303)/5. Let g = -353 - b. What is the common denominator of g and -61/170?
510
Suppose 96*x = 258*x - 12960. Calculate the lowest common multiple of 944 and x.
4720
What is the least common multiple of 2/3*-3 + (33 - 16) and 330?
330
Let y be (2/(-2) + -6)*(-1805