87/61887. Let z = 1489/490 + w. Find the common denominator of z and u.
70
Suppose 4*x - 3*w = 166, 128 + 26 = 4*x + 3*w. Suppose -5*d + 3*d + 6 = 0. Suppose 0 = 7*m - d*m - x. What is the lowest common multiple of m and 3?
30
Let m be (-6)/21 + (-414682)/62664. Let b = 5/373 - m. Find the common denominator of b and -19/14.
84
Suppose 2*b - 2*d = -0*b + 46, -3*b = 5*d - 77. Calculate the lowest common multiple of b and 8.
24
Suppose -7*t - 2847 = 2592. Let q = -11609/15 - t. Find the common denominator of -23/3 and q.
15
Let c = 56 + -23. Calculate the lowest common multiple of 2 and (3 - 2)/(1 - c/36).
12
Let n = -34081/173553 - -1/3403. Calculate the common denominator of n and (3 + 15/3)*(5 + 606/(-132)).
561
Let c = -8 + 13. Suppose -q = -3*b - 15, -11 = -c*q + 3*b + 16. What is the smallest common multiple of q and 1?
3
Let t(v) = 12*v - 5 + 3 - 14*v - 12. Calculate the lowest common multiple of t(-9) and 2.
4
Suppose -2*o = 3*i - 0*o - 45, -60 = -4*i + o. Let m = -9 + i. Suppose 0 = -0*l - 3*l + 60. What is the least common multiple of l and m?
60
Let x be 1 - (2 + -2 - -1). Let w = x - -6. Let z(c) = -31*c + 1218. Calculate the lowest common multiple of z(39) and w.
18
Let k = -149833/884900 - 6/8849. Calculate the common denominator of 77/30 and k.
300
Let z be 2/((-123415432)/61707684 + 2). Let n = z - -1931848. Let g = 3477 - n. Calculate the common denominator of 47/9 and g.
72
Suppose 3*i = 3*u + 105, 66*i + 5*u = 61*i + 125. Calculate the smallest common multiple of i and 8.
120
Let n = -10 - -19. Suppose -3*k - o = 4*o + 25, -35 = 5*k + 5*o. What is the smallest common multiple of n and -5 - k - -9*1?
9
Suppose 0 = 6*c - 1576 - 314. What is the least common multiple of 3 and c?
315
Let w = 3407359 + -68117701/20. Let n = w - 1470. Calculate the common denominator of n and -37/8.
40
Let y(d) = 91*d - 439. What is the smallest common multiple of y(7) and 90?
990
Let t = -30227353/4856 - -9632/607. Let i = t + 6220. What is the common denominator of i and -109/18?
72
Let t(i) = 2*i**3 + 4*i**2 + 2*i - 2. Let z be t(-2). Calculate the common denominator of -19/6 and (-65)/2 - (5 + z).
6
Let v(i) = 17*i - 2. Let m be v(-5). Calculate the common denominator of m/36 + 0/(-2) and 16/(-200) + (-428)/275.
132
Let b = -10 + 22. Suppose 0 = -b*k + 10*k + 10. What is the smallest common multiple of k and 15?
15
Let x = 345 + -303. What is the smallest common multiple of x and 175?
1050
What is the common denominator of 322/(-10)*2/(-12) and 83/18?
90
Suppose 45 = 2*l + l. Let o = l + -10. Calculate the common denominator of o/20 - 530/(-72) and -11/20.
180
Let m = -1432967/2972312 - 2/53077. Calculate the common denominator of -43/112 and m.
112
Let o(g) = -g**3 - 19*g**2 - 26*g - 120. What is the lowest common multiple of 558 and o(-18)?
2232
Suppose -3*v + 124 + 122 = 3*t, 4*t = 3*v + 342. Suppose 3*d - t = 33. Let x = -23 + d. What is the smallest common multiple of 2 and x?
16
Let p = -24 + 21. Let k be -8 + ((-21)/p - 3). Find the common denominator of (-748)/(-92) + k - 4 and 7/6.
138
Let w(n) = -6*n - 4. Let x be w(-4). Suppose 68 = 4*s - 3*o + x, -3*o = 5*s - 60. What is the common denominator of (-176)/s - 0 - 1 and 23/5?
15
Calculate the least common multiple of 399 and 8 - (-1704)/78 - 4/(-26).
3990
Calculate the common denominator of -73/202 and 90/585 - (-1986)/104.
404
Suppose 27*u = 39*u - 84. Calculate the smallest common multiple of 178 and u.
1246
Let y = 193549/72 - 2688. Find the common denominator of -107/18 and y.
72
Let y be 1*(0 + -3 + 13). Suppose -y = -j + 1. Suppose 2 = -5*c + 12. Calculate the lowest common multiple of j and c.
22
Let d(f) be the second derivative of 6*f + 0 + 0*f**2 + 4/3*f**3. Calculate the least common multiple of 18 and d(6).
144
Suppose 0*k = -9*k + 90. Let s = k + 14. What is the smallest common multiple of s and 18?
72
What is the least common multiple of (-6)/(-30)*-2 - 114/(-10) and 9?
99
Suppose 6 = -i - 4*b, -1 - 5 = -4*i - b. Let h(k) = 10*k - 6. Let c be h(i). Calculate the common denominator of -37/12 and -1 - (c/(-16) + -4).
24
Suppose 5*u = 3*u - 116. Let f = 62 + u. What is the least common multiple of f and 2?
4
Suppose 5*j + 14 - 74 = 0. Let i = 15 - 11. What is the smallest common multiple of 1 + (-2)/i*-26 and j?
84
Let b = 323 + -2603/8. What is the common denominator of -49/82 and b?
328
What is the common denominator of (6/18)/((-70)/917) and 145/24?
120
Suppose -2*d + 1 = 5*t, -4*d + 2 + 14 = -4*t. Suppose 204 = d*h + 3*h. What is the least common multiple of h and 2?
34
Let p(m) = -4*m**2 + 57*m + 2. What is the least common multiple of 100 and p(12)?
1100
Suppose 12*b = 9*b - o + 168, -4*b + 3*o + 237 = 0. What is the lowest common multiple of 6 and b?
114
Let v = -8263 + 66005/8. What is the common denominator of 2/(-3)*147/(-112) and v?
8
Let o(d) = -7*d - 105. What is the smallest common multiple of 108 and o(-19)?
756
Calculate the common denominator of -5/94 and (-300)/144 + 2 + (-109)/28.
1974
Suppose 4 - 74 = -3*v + 4*m, 4*v - 5*m - 92 = 0. What is the smallest common multiple of 138 and v?
414
Let c = -59599133/15288 + 97/1911. Let j = c - -3905. Calculate the common denominator of -43/37 and j.
296
Let o = 30 - 62. Let h = -22 - o. What is the least common multiple of 6 and h?
30
Let k(j) = -36*j**3 - 2*j**2 - 3*j - 1. Calculate the lowest common multiple of k(-1) and 80.
720
Suppose -38*o + 74*o - 468 = 0. What is the smallest common multiple of 35 and o?
455
Let y(t) = 8*t**2 + 1. Let n(l) = -l**3 - 14*l**2 - 17*l - 223. What is the least common multiple of y(-1) and n(-14)?
45
Let j be 2/(((-180)/(-65))/(-4)). Let m = 1013/360 + j. Calculate the common denominator of 13/40 and m.
40
Let q(p) = -p**3 + 3*p**2 - p. Let s be q(2). Suppose -s*m + g = -12, 2*m - m - 4 = g. What is the smallest common multiple of 1508/78 + (-2)/(-3) and m?
40
Let s(p) = 123*p**2 - 64*p**2 - 58*p**2 + 2*p - 17. Calculate the smallest common multiple of s(-7) and 90.
90
Suppose -330 = -21*g + 10*g. What is the smallest common multiple of g and 24?
120
Suppose -4*d + h - 42 = 3*h, -3 = 2*d - 5*h. Find the common denominator of 45/2 and d/112*-2 + 4/(-14).
8
Suppose -5*r = 2*o - 74, 2*r - 3*r = 4*o - 112. What is the lowest common multiple of o and 297?
297
Suppose -3*g - 4 + 19 = 0. Suppose -g = -k - 0. Calculate the lowest common multiple of -6 + (0 - (2 + -11)) and k.
15
Find the common denominator of -5 - -10 - ((-2391)/(-405) - 1) and 92/135.
135
Let r be 9/3 + (-13 - -2). Let d be (-4562)/18 + 4/r. Let l = 256 + d. What is the common denominator of l and -57/16?
144
What is the common denominator of ((-52)/(-35))/((-238)/(-35)) and 27/85?
595
Let o = 30 - 10. Let r(g) = -g**2 + 11*g + 46. What is the smallest common multiple of r(13) and o?
20
What is the common denominator of -157/30 and 16/22*203/84?
330
Calculate the lowest common multiple of (-1 - -1) + 1 - (-1960 - -45) and 16.
7664
Let f(x) = 15*x + 602. What is the smallest common multiple of f(-38) and 52?
416
Let j be 31 + (-3 - (1 + 0)). Calculate the common denominator of -8/11 and 15/10*78/j.
33
Suppose 2*c = -0*c - 0*c. Suppose c = -2*y - 0*y + 84. Find the common denominator of 1/4 and y.
4
Suppose -2*u - 139 = -2*y - 399, -3*y = 2*u - 250. What is the common denominator of (-6)/20*(-840)/u and 17/10?
160
Let j = -1/2091267 + 2862945233/1484799570. Let u = -140/71 - j. Calculate the common denominator of -53/4 and u.
20
Let d = 3/173184367 + -120061621082188/7793296515. Let x = -15405 - d. Calculate the common denominator of 19/6 and x.
90
Let d = 188 + -128. Suppose -2*q = -2*b - d, 64 = 3*q + 5*b - 10. What is the lowest common multiple of 18 and q?
252
Let r be 32/40 + 1/5. Find the common denominator of 45/11 and -2 + r*(-428)/(-24).
66
Let l = -421 + 5895/14. Suppose -2*p + 3*p + 3 = 0. Find the common denominator of l and (-1)/((-4)/(-126)*p).
14
Let u = 85394/455 - 2448/13. Calculate the common denominator of -3/28 and u.
140
Let o = -2273 - -15874/7. What is the common denominator of o and -25/11?
77
Suppose -35*c + 38*c - 54 = 0. What is the smallest common multiple of 14 and c?
126
What is the smallest common multiple of 60 and (5/2)/((-25)/(-60))?
60
Let d = 3351 + -33539/10. Let w be (2 + -3)*44/(-8