least common multiple of 90 and x.
90
Suppose 0 = -12*x + 15*x + 3*y - 1968, 4*x - y - 2604 = 0. What is the lowest common multiple of 33 and 8 + 6/(24/x)?
1881
Suppose -3*k - 2*q = -q - 1030, -19*k + 4*q + 6544 = 0. What is the least common multiple of k and 2236?
4472
Let l be -2 + (2 - 492/(-2)). Let m = 229349/6 + -38214. Find the common denominator of m and (-3)/9*l/(-124).
186
Let v be -3*(-14)/(-63) - (-290)/273. Let n = v - -8725/1638. Calculate the common denominator of -109/18 and n.
18
Let c be (-4 - 452/(-112))/((-30)/4025). Let q = c + 14/3. What is the common denominator of 57/10 and q?
40
Let r(q) = -26*q - 76. Let x be r(-18). Suppose 16*z - x = 2*z. Calculate the smallest common multiple of 8 and z.
56
Suppose -10*n + 9*n - 4*s + 66 = 0, -4*s = 5*n - 426. What is the smallest common multiple of 270 and n?
270
Suppose -9*b + 5*b + 58 = c, c - 2*b - 52 = 0. Calculate the smallest common multiple of 81 and c.
162
Suppose -5*u + 0*u = 4*c - 55, 44 = 4*u + 5*c. Let q = u - -15. Let o = 1 + 9. Calculate the least common multiple of o and q.
130
Let y = -567/40 + 207/8. What is the common denominator of ((-178)/20 - 2) + 30/25 and y?
10
Let t = -3555 + 21389/6. Find the common denominator of t and (10 - (-15)/(-6))/((-4818)/(-77)).
876
Let c = 2644246 + -9931788059/3756. What is the common denominator of 83/1878 and c?
3756
Let r = -10534573/110 - -95770. Let w = r + -5/11. Find the common denominator of 10 - (6 - (-1633)/(-276)) and w.
60
Let s(x) = 2*x**3 - 8*x**2 - 10*x - 58. Suppose -3*w + 75 = 5*i, 0 = 3*i - w + 4*w - 39. What is the smallest common multiple of s(6) and i?
234
Let y be 1/2*0/1. Let a(f) = 518*f - 4653. Calculate the least common multiple of (y + -2)*-3*2 and a(9).
36
Suppose -2*o + 21*l - 25*l = 18, 3*o - 4*l = -17. Let j = 79 + o. Calculate the least common multiple of 18 and j.
72
Let t be -8 + 5 + 0 + 2. What is the common denominator of -103/6 and (t/(-2))/(3/20)?
6
Find the common denominator of 4126/(-65520) - (-17 + (-4260)/(-252)) and -35/4.
4680
Let r(q) be the first derivative of -15*q**2/2 - 176*q - 94. What is the lowest common multiple of 21 and r(-15)?
147
What is the common denominator of -25/9 and (2/(-441))/((-1232)/(-11256))?
4851
Let z = -846016893/5764 + 146776. Calculate the common denominator of -69/1048 and z.
11528
Suppose -8*o = -3*o - 1560. Find the common denominator of 95/8 and 17*-4*3/o.
104
Let t = 3/1343 - 22867/16116. Calculate the common denominator of -17/372 and t.
372
Let l be ((-1)/(-1))/((-4)/(-20)). Suppose -l*p - 10 = 0, -f + 5*p = -6*f + 185. Let d = -38502 - -38504. What is the smallest common multiple of d and f?
78
Suppose -3*a + 2*y = -0*a + 5, -y + 2 = -a. Let d(u) = 5*u + 3. Let h be d(a). Find the common denominator of 20/9 and -5 - 1023/(-342) - h/3.
342
Suppose 14*h - 21060 = -8*h - 23*h. What is the least common multiple of h and 273?
3276
Suppose x + 2*w = -3*x + 376, 0 = 3*w + 6. What is the least common multiple of ((-4)/(-16))/((-65)/(-3120)) and x?
1140
Let r = -25304/9 + 2808. What is the common denominator of 55/212 and r?
1908
Calculate the common denominator of -89/468 and 6/(-12) + (-770)/168.
468
Suppose 3*a + 4*s - 13 = 6*s, -2*a + 13 = 3*s. Suppose -341 = -a*r - 66. Calculate the least common multiple of 10 and r.
110
Let o = -26/15 + 19/12. Let j be -1*4/16 - 18447/12. Let q = 1507 + j. What is the common denominator of q and o?
20
Let a be ((32/(-3))/(-2))/((-90)/84375). What is the common denominator of -77/6 and a/(-608) + -7 + 0?
228
Let s(o) = o**3 + o**2 - 32*o + 52. Let b be s(9). Let n = -358 + b. What is the smallest common multiple of n and 16?
432
Suppose 5*b + 19 = 5*h - 11, -2*h - 2*b - 8 = 0. Suppose 36 = -2*k - k. What is the least common multiple of 0/(-1) + -2 - k and h?
10
What is the common denominator of -51/2 and (-25)/150*(-460)/(-3090)?
1854
Suppose -2*i - 5*r + 26 = 0, 6*r = -i + 2*r + 16. Calculate the lowest common multiple of i and 780.
1560
Let z = 1/1838 - 22983/14704. Let g = 444 + -983/2. Calculate the common denominator of g and z.
16
Suppose 5*f - 20 = 3*f - 4*y, -3*y + 1 = -2*f. Suppose -86 = -3*t + 5*a, -f*t + 26 = -3*t - 3*a. What is the lowest common multiple of 6 and t?
96
Let f(y) = -2*y - 29. Let b be f(-11). What is the common denominator of 4 + (b - -3) + (-16)/(-9) and 3/50?
450
Let m(l) = -576*l + 15031. Let u = -5 + 27. Calculate the lowest common multiple of m(26) and u.
110
Let i be (3 - 4*22) + (1 - 2). Find the common denominator of 3/24*2 + i/(-24) and (7/35)/((-2)/11).
30
Suppose -39*u + 687657 = 32*u + 61437. Calculate the smallest common multiple of 44 and u.
97020
Suppose -7*g = -2949497 - 25545. Let b be g/64 - (-8 - -11). Let h = -6637 + b. Calculate the common denominator of h and -27/44.
352
Suppose -16 + 20 = -o. Calculate the common denominator of 137/36 and o + 5 + (-81)/84.
252
Let w = -1007 + 1019. Calculate the lowest common multiple of w and 786.
1572
Suppose 1817 = 61*m - 135. What is the least common multiple of 68 and m?
544
Let b = 696 - 689. What is the common denominator of 3 + (-91)/35 - (-8)/b and -41/40?
280
Let u(s) = s**2 - 20*s + 65. Suppose 0 = -b - 2*y + 20, 9*b - 14*b + 3*y = -74. Suppose 0 = a - 4 - 2. What is the lowest common multiple of a and u(b)?
6
What is the common denominator of -145/48 and 2224*9/216*(-1)/(-44)?
528
Let n = -492 + 1192. What is the least common multiple of n and 12?
2100
Let j(w) = 16*w**2 - 47*w - 75. Calculate the least common multiple of j(11) and 336.
1344
Let s = -398 - -254. Find the common denominator of (-536)/(-32) - (-1 - -1) and 2 + 1 - ((-124)/s + 5).
36
Calculate the smallest common multiple of 6 and (-1891)/(-62) - ((-2)/2)/(-2).
30
Let j = 2669887/42 + -63572. Find the common denominator of (-745)/(-2)*(-10)/(-750) and j.
210
What is the smallest common multiple of 558 and 1114/3 - 22/(-33)?
1116
Suppose -3*w = -2*w - f - 112, 0 = w - 2*f - 107. Calculate the common denominator of 2/6*(3 - w/(-138)) and 23/14.
322
Suppose 14520 = 397*z - 155*z. Calculate the least common multiple of 106 and z.
3180
Let v(y) = 1928*y - 20. Let r be v(-4). Let q = 386649/50 + r. Let j = -35006/9 - -3885. Find the common denominator of q and j.
450
Let u = -483 - -455. Suppose 2*a + 90 = 8*a. Calculate the common denominator of a/81 - 6/(-9) and u.
27
Let h = 91511/315304 + -22/3583. What is the common denominator of (1/8)/(2/134) and h?
88
Let o be ((-129)/(-27) - 2) + (-4)/(-18). Suppose -o + 5 = b. Suppose -b*g + g = -7. Calculate the lowest common multiple of 2 and g.
14
Suppose 0 = t - 5*q - 1593, 4*q = -35*t + 31*t + 6492. What is the lowest common multiple of 12 and t?
9708
Let p(g) = -12*g + 35. Let z be p(2). Calculate the common denominator of 64/9 and 236/8*1 + (13 - z).
18
Let f = -45732 + 5121911/112. Find the common denominator of -137/140 and f.
560
Suppose 0 = 2*q + 4*y + 20, -5*q + 3*y + 12 + 3 = 0. Suppose -6*g - j = -3*g - 227, 4*j - 8 = q. Calculate the smallest common multiple of g and 40.
600
Suppose 18*k - 6696 = 26*k. Let d = k + 900. Suppose -g + 4*z = -50, 72 = g - 5*z + 17. Calculate the lowest common multiple of d and g.
630
Let h be ((-3)/(-6))/(54/(-919236)). Let w = -8503 - h. Let m = 1289/50 - 7/25. Find the common denominator of w and m.
18
Let m be ((-14)/20)/(42/70). Let r = m + 40/3. Find the common denominator of -61/78 and r.
78
Suppose 60*p + 1851 = 63*p. Let g = p - 582. What is the lowest common multiple of 10 and g?
70
Let l(d) be the third derivative of 7*d**4/24 + 13*d**3/2 - d**2 - 6. Calculate the least common multiple of l(8) and 40.
760
Calculate the common denominator of -2*(-5)/(-2) + (136873/19665 - 2) and -5/228.
3420
Let k(j) = j**3 + 31*j**2 - 2*j - 55. Let n be k(-31). Suppose b + u - 34 = 0, -4*b - 5*u = -n*b + 86. What is the smallest common multiple of 12 and b?
96
Let w(x) = -x**3 + 9*x**2 - 7*x + 527. Calculate the smallest common multiple of 2950 and w(12).
32450
Let a = 1249/3 - 87547/210. What is the common denominator of 19/140 and a?
140
Let m = -11799/2408 - -555/86. Find the common denominator of m and 9/((-216)/40) + 1100/(-1680).
56
Suppose 3*h + 8 = -7. Let y = 2174 - 47857/22. What is the common denominator of (-28)/(-16)*1/(-4)*h and y?
176
Let r(o) = 9*o + 17*o + 34 + 11*