e of ((-160)/(-96))/((-15)/(-27))*4 and 17955.
71820
Let o = -220 + 216. What is the common denominator of 2 + 0 + (-650)/88 - o and -83/12?
132
Let z = 48 + -48. Suppose z = -17*v + 12*v + 10. Calculate the common denominator of (-1529)/(-132) + (v - 1) and -37/8.
24
Let x = 3178978659/1610 + -1974521. Calculate the common denominator of 26/1127 and x.
11270
Let p = -3819 + 3833. Calculate the smallest common multiple of 56 and p.
56
Suppose -2*m + 5*l = 27, 2*m + 0*m = 3*l - 29. What is the common denominator of -11/70 and ((-6)/m)/(207/(-46))*-74?
210
Let c = -84 + 108. Let u(b) be the third derivative of b**5/15 + 11*b**4/12 + 3*b**3/2 + 25*b**2. Calculate the lowest common multiple of c and u(-6).
168
Suppose -113*w + 12689 = 49 + 775. What is the smallest common multiple of w and 15?
105
Suppose 0 = -3*y + 2*y + 2. Let t = 2176 - 2173. What is the least common multiple of y and t?
6
Suppose 27*c = -64*c - 70*c + 20286. What is the smallest common multiple of 54 and c?
378
Suppose 0 = -5*k + o + 1132, 17 - 7 = -5*o. Calculate the lowest common multiple of k and 904.
904
Let o = -959/8 - -14501/120. Find the common denominator of (-8)/12*((-12393)/(-1170) - 12) and o.
390
Let x = 1597 + -458. What is the smallest common multiple of 6 and x?
6834
Let r = -16782 - -453064/27. What is the common denominator of r and 333/36*((-880)/429)/(-10)?
351
Let m = 186 + -98. What is the least common multiple of ((-55836)/(-2820))/(1/(-10)*-2) and m?
792
Suppose 2*d + 2*d - 4*c + 128 = 0, -3*c = d + 40. Let m = -22 - d. What is the common denominator of 57/(-30) + m/6 and 99/4?
20
Let p = 2135 - 1720. Calculate the lowest common multiple of p and 747.
3735
What is the least common multiple of (1890/(-12))/(-9)*(-18)/(-15) and 11772?
82404
Let r = -41141/6 - -6856. Calculate the common denominator of 77/12050 and r.
36150
Let z be 61268/306 + (-4)/18. Let v = -186 + z. Calculate the smallest common multiple of 20 and v.
140
Let c = -202/5083 + -142559/121992. Find the common denominator of (-2)/(-32)*101/(-11) and c.
528
Suppose -4*o + 2*m + 40 = 0, 5*o = o + 4*m + 48. Let i be 62/o + (-4 - (-119)/28). What is the common denominator of 6/i*(-650)/60 and -45?
8
Let r = -13094 + 13100. What is the lowest common multiple of 626 and r?
1878
Let h(f) = -14*f + 77. Let w be h(-11). Calculate the common denominator of (7 + 1)*132/w and -81/40.
280
Calculate the common denominator of 31/300 and (-246)/8*(-11 - (-3976)/360).
300
Let g = -5 - -3. Find the common denominator of (-315)/(-98) - g/7 and (-5 - 0)/((-4)/(-12)*-16).
16
Let r(f) = 1692*f - 5664. What is the least common multiple of 264 and r(4)?
12144
Calculate the common denominator of (-114)/45*(-774)/1376 and 51/4636.
46360
Suppose -38*i - 56*i + 408 = -60*i. Calculate the least common multiple of 881 and i.
10572
Calculate the common denominator of -43/1199 and 1690/436 - (232 + -228).
2398
Let l = 939/2695 - 3/539. Let b = -12527/44005 - 26/677. Find the common denominator of b and l.
455
Let t(y) = -7*y - 4. Let c be t(-1). Let l(k) = 3*k**3 - 2*k**2 - 3*k - 4. Let w be l(c). What is the common denominator of (122/(-10))/((-380)/w) and 18?
38
Let a(c) = 158*c + 50*c**2 + 84 - 99*c - 103*c. Calculate the least common multiple of 10 and a(2).
980
Let w = -153 + 159. Calculate the least common multiple of 4/22 - -2*210/110 and w.
12
Suppose 4*b - 25 = -i, 3*b = i + 6*b - 20. Suppose 10*t = i*t + 55. Suppose 22 = 6*n - 8. What is the smallest common multiple of n and t?
55
Let m be 6 - (-5)/40*16970. Let n = -2147 + m. What is the common denominator of (1/4)/(4/(-42)) and n?
8
Let j = -22 + 36. Suppose u + 1 = n, 2*u - 5*n = -0*n - j. What is the common denominator of -45/8 and 83/(-2) + (8 - u)?
8
Let w(b) = b - 1. Let q be w(5). Suppose 24 = q*i - 7*d + 3*d, d + 2 = -i. Suppose -f - 33 = -i*f. What is the least common multiple of 9 and f?
99
Suppose 3*o - 4*v + 7 = 8*o, 0 = 5*o + 5*v - 5. What is the common denominator of (4*1)/((-4)/10) and o/(-7) - 546/(-245)?
5
Let i(n) = n**3 - 2*n**2 + n + 4. Let w be i(-1). Suppose -32*l + 14*l + 36 = w. Calculate the lowest common multiple of 8 and l.
8
Let i = 123364/45 + -2741. What is the common denominator of i and -23/185?
1665
Let h(u) = u**2 - 19*u - 5. Let y be h(18). Let i = y + 37. What is the least common multiple of i and 20?
140
Let c = 18 - 28. Let r = -4262/59 + 79135/1062. What is the common denominator of (-117)/c*2/(-4) and r?
180
Let n be 106/1007 + (-302)/(-19). Suppose 15*f - 5*u - 25 = 14*f, -n = 4*u. Calculate the lowest common multiple of f and 50.
50
Suppose -2*o - 790 = -5*q + 3*o, 0 = -3*q + 5*o + 476. Suppose 158*z - 5029 = q*z. Let x = 50409/10 - z. Find the common denominator of -49/12 and x.
60
Suppose 0 = 19*f - 58 + 1. Suppose f*k - 9 = -3*a, -7*k = 4*a - 8*k - 32. Calculate the smallest common multiple of a and 11.
77
Let o = -26649/5612 - 2/1403. Suppose 3*c - 16 + 106 = 0. What is the common denominator of o and 6/c*31/(-2)?
20
What is the common denominator of -145/3336 and 2217865/(-4901974) - 3/(-7)?
36696
Let h(i) = 7*i**3 + 1. Suppose -4*r - 106 = 158. Calculate the smallest common multiple of h(1) and (r/(-12) + -4)*2.
24
Let f = 201167750582/13 - 32999685571953/2132. Let g = -3834170 - f. Let b = g - 40/41. Find the common denominator of 57/10 and b.
20
Let s be 5 + -6 - (-13 - -1)/3. Suppose q - 90 = -3*y, s*q + 302 = 6*q + y. What is the smallest common multiple of q and 85?
510
Calculate the least common multiple of 141*(-9 - (-4 - 11)) and 1974.
5922
Suppose -28*y + 47*y + 6 = 21*y. What is the least common multiple of y and 1138?
3414
Suppose -3*s + 3*t + 10131 = 0, 5 = -37*t + 32*t. Calculate the lowest common multiple of s and 2.
3376
Let y = 2930117/461 - 6356. Let m = 1403/9220 - y. Find the common denominator of 0/1 + 174/(-64) and m.
160
Calculate the lowest common multiple of 153 and (36/5 + (-9 - -12))*(1 - -9).
306
Let s(q) = -35*q**2 - q + 2. Let f be s(1). What is the common denominator of -43/2 and (-1)/f*-2*101/8?
136
Let u = 740 + -728. Let t = 97 + 20. What is the lowest common multiple of u and t?
468
Let f(y) = -6*y**2 - 10*y - 3. Let h be f(-3). Let t = h + 31. What is the least common multiple of t and 3100/220 + 2/(-22)?
28
Suppose 16 = -2*x + 4*x + 3*i, -4*x = -2*i - 32. Suppose 10 = 5*f, 3*w - 14 - 26 = 4*f. What is the least common multiple of x and w?
16
Let q be (34 - 35)/(373/(-503)). Let g = 155635/88028 - q. Calculate the common denominator of -65/2 and g.
236
Let q(s) = s**3 - 5*s**2 + s + 13. Let t be -2*4/(-12) + 26/6. Calculate the lowest common multiple of q(t) and -44*(6/4 - 2).
198
Let q = 8630 - 103699/12. Let u = -239503/108 - -6649/3. Find the common denominator of q and u.
108
Let j = -22 - -36. Suppose 9*n = j*n - 25. Calculate the smallest common multiple of 30 and n.
30
What is the common denominator of (4 + 432/45)*(-25)/(-10) and -37/7?
7
Let f be -10 - -10 - 3*2. Let i be f/2*(2 + 7). Calculate the common denominator of -85/14 and 255/108 + (-6)/i.
84
Let r = -186 + 190. Suppose -9*k - 24 = -5*q - 13*k, -r*q + 4*k + 48 = 0. What is the least common multiple of 48 and q?
48
What is the common denominator of -23/3640 and (-2)/4 + 8 + (-721)/28 + 2?
3640
What is the lowest common multiple of 266/((-4)/(-2)*((-279)/(-198))/31) and 2926?
2926
Let u = 39 - -8. Let n(t) = -t**2 + 21*t - 21. Let o be n(18). Let d = u - o. Calculate the least common multiple of 6 and d.
42
Let b be (-14372)/14 - (-12 + 18). Let i = -28843/28 - b. Calculate the common denominator of -77/4 and i.
28
Let y(s) = -78*s + 508. What is the smallest common multiple of 80 and y(6)?
80
Suppose -47*i - 2832 = -51*i - 4*y, 2*i = y + 1437. What is the lowest common multiple of 95 and i?
13585
Suppose -5*t - 27 = 73. Let u be (-48)/(-10) + (3 + -7)/t. Find the common denominator of 49/81 and u + 100/(-3) - 6/(-2).
81
Suppose 3*g = 3*u + 9, 3*g - u + 1 - 12 = 0. Suppose 16 = -z + g*b, -2*b - 5 + 19 = z. Suppose -f + 16 - z = 0. Calculate the least common multiple of 2 and f.
12
Let x(a) = -7*a + 65. Let n be x(-45). Suppose n = 3*s - 277. What is the smallest common multiple of 3 and s?
219
Suppose 96 = 52*t - 60*t. Let z = 21 - t. Let w(i) = i**3 - 8*i**2 + 8*i + 3. What is the smallest common multiple o