20
Suppose -276*y + 27584 = -14368. Suppose -6*o + 2*o + 36 = 0. What is the smallest common multiple of o and y?
1368
Let j(k) = k**3 - 3*k**2 - k - 14. Let w(i) = -i + 12. Let r be w(6). Let d be j(r). Suppose -v = 10*v - d. Calculate the lowest common multiple of 24 and v.
24
Suppose 2*y = -3*y + 5*r + 40, 5*y - 3*r - 38 = 0. Suppose -31 + y = -u. What is the least common multiple of 5 and u?
120
What is the common denominator of 4488/8560 + 36/(-45) and 1/1819?
3638
Let q = 742 - -115. Let z = -853 + q. Calculate the smallest common multiple of z and 40.
40
Suppose -2*z = 3*n + 10 - 37, z + 5*n - 24 = 0. Let m(g) = g + 0*g - 171 + g**2 + 130. What is the lowest common multiple of m(-7) and z?
9
Let a be 199510/4*((-1704)/460)/(-6). Suppose c = -1574 + 32366. Let l = c - a. Calculate the common denominator of -33/16 and l.
368
Let x = -729 - -680. Calculate the smallest common multiple of 139 + 14/x + 111/21 and 16.
144
Let x = 5457135503/840 - 51991175/8. Let p = x + 6925/3. Find the common denominator of p and -4/45.
315
Calculate the common denominator of 53/850 and 129/(-476) + 283/(-1132).
5950
Suppose 15 = -0*a + 3*a. Suppose -a*k = -8*k + 5*n + 90, 90 = 3*k - 4*n. Let j = k + -1187/40. What is the common denominator of 48/7 and j?
280
Let d = 5880 - -3675. Let t be 5/20 + d/4. Let o = t + -38283/16. Find the common denominator of 19/22 and o.
176
Let v be ((-8)/(-3550))/((-36)/180). Let c = 16773/7810 + v. Calculate the common denominator of (-108)/15*6/16 and c.
110
Suppose 12*c - 66 = -4*c + 94. Calculate the smallest common multiple of c and 115.
230
Suppose -7*u - 12042 = -0*u - 12210. What is the lowest common multiple of u and 168?
168
Let n = -1276 + 832. Let t = 4012/9 + n. Let a = t + 14/9. Calculate the common denominator of 67/8 and a.
24
Let d = 229800 + -1157359/5. Let g = d + 1665. Let b = -2501/5 - -496. What is the common denominator of b and g?
5
Calculate the smallest common multiple of 639 and (-185)/(-148) + (-2815)/(-20).
1278
Suppose 0 = 13*g - 184 - 271. Suppose 4*c = g + 13. Suppose 0 = f + i - 21, -20 = -i - 3*i. What is the least common multiple of c and f?
48
Let q = -18844 - -19239. Calculate the smallest common multiple of 1264 and q.
6320
Calculate the lowest common multiple of 1071/(-85) + 12 - (-126)/10 and 164.
492
Suppose 4*v - 20 = 2*v - 4*f, -3*f = -5*v + 89. Let m = 1432 - 1422. Calculate the least common multiple of v and m.
80
Suppose 68 - 64 = 2*u - 5*y, -5*u - 2*y = -68. Calculate the smallest common multiple of 1766 and u.
10596
Let q = -72645/80584 - 7/23024. Let z = -2705205/28 - -96611. What is the common denominator of q and z?
112
Let m(x) = -4*x**2 - 32*x - 4. Suppose 62 = -5*p + 92. Calculate the smallest common multiple of m(-7) and p.
24
Let f(g) = 2*g**3 - 15*g**2 + 24*g - 24. Let d(w) = 3*w**2 - 6*w - 5. Calculate the least common multiple of f(6) and d(5).
120
Let u = 54860 - 603488/11. Let m be ((1 - 238) + -2)*1. Let d = 1685/7 + m. Calculate the common denominator of d and u.
77
Let c = -13296214/327444075 + -6/207901. What is the common denominator of -67/231 and c?
17325
Let a = 352/259 + -156/37. Let f be (-42)/(-14) + 3 + 5352/(-51). Let c = f + 42423/442. What is the common denominator of c and a?
182
Let a be 5/((-20)/12) - -3. Suppose 7*k + 52 + 32 = a. Find the common denominator of 3/(-2)*(-4 + k/45) and 17/10.
10
Let x be (8 + -12)*(-2)/8. Find the common denominator of (-106)/20 - (-4)/(-10) and x - -4 - (-658)/(-517).
110
What is the least common multiple of 146/4 + 133/(-266) and 264?
792
Let u = 4 + 6. Let h be 4/(6/(-636)*4). Let p = h - -117. What is the least common multiple of u and p?
110
Let g(x) = x + 3. Let l be g(-3). Suppose 0*d + 3*d - 15 = l. Suppose 4 = -z + 4*s, 0 = -0*z - d*z + 2*s + 34. What is the lowest common multiple of 10 and z?
40
Let v = -9468937309/3752 + 2523704. Find the common denominator of v and -50/5159.
41272
Let n(q) = q**3 + 4*q**2 - 14*q - 4. Let h be n(-5). What is the least common multiple of 33/(-22) + (-50)/(-4) and h/2 - 57/(-38)?
22
Let z(q) = -8*q - 202. Let m be z(-25). What is the common denominator of (-1 - 98)*2/(-356) and ((-1)/m)/((-13 + 22)/333)?
178
Let c = -95350/49 + 1946. Let q be 0 - (-6906)/28 - 2/(-4). Let w = q + -1677/7. Find the common denominator of w and c.
49
What is the common denominator of ((-3)/2)/((-722)/(-194) + -4) and (-98)/(-2205)*(0 - 695/(-28))?
126
Let m = 356697 - 132691183/372. Find the common denominator of m and 61/264.
8184
Suppose -n - 6*n + 28 = 0. Suppose 0*l = -5*l - 5*q + 12170, 4878 = 2*l + n*q. Let x = l - 9795/4. What is the common denominator of 85/8 and x?
8
Let m(k) = -k**2 + 8*k - 5. Suppose 6*b + 2*x + 52 = 11*b, 0 = 2*b + 4*x - 16. What is the least common multiple of b and m(5)?
10
Let s be (16/28)/2 + 388/14. Let x be 91/s*(-8)/1. What is the lowest common multiple of 48 and 39/(-78) - (x/4 + 0)?
48
Let j(l) = -4*l**2 + 20. Suppose 15 = 8*f - 3*f. Let s(x) = -x**2 + 4. Let n(h) = f*j(h) - 14*s(h). Calculate the lowest common multiple of 36 and n(-2).
36
Calculate the common denominator of 115/1162 and ((-79)/(-35)*(-672)/192)/(4/(-2)).
11620
Let z(r) = 3907*r + 69. Let c be z(1). Suppose -38*q = -c + 100. Calculate the least common multiple of q and 14.
714
Let a = -3311 - -172173/52. Find the common denominator of -107/120 and a.
1560
Let x(b) = 23*b + 79. Let h be x(7). What is the common denominator of 3/(-12) - 1164/h and -103/836?
4180
Suppose -3*w + 5 = -13. Suppose -3*y + 4*p = -37, 2*y + 3*y - 5*p - 55 = 0. What is the lowest common multiple of w*(6/4 + -1) and y?
21
Suppose 1493*y - 1492*y = 40. Suppose y = g + 31. Let x(n) = -5*n + 4. Calculate the lowest common multiple of g and x(-4).
72
Let j = 91 - 67. Let z(i) = 6*i + 81. What is the lowest common multiple of z(-4) and j?
456
Let x = -20874925/144 + 144964. Calculate the common denominator of x and 4/(-18) + (-602)/288.
144
Let j(g) = 38*g**2 + 8. Let x be j(16). Let p = x + -214087/22. Find the common denominator of 453/126 - (-15)/(-35) and p.
66
Let q(p) = 2*p**2 + 9*p. Suppose -171 = -11*s - 2998. Let u = s + 275. Calculate the smallest common multiple of q(-6) and u.
18
Let l = 2106959/114 + -18481. Calculate the common denominator of l and 119/190.
570
Let f = -134451 + 2688347/20. Let o = 157/5 + f. What is the common denominator of o and 45/17?
68
Suppose 0 = -6*o + 59 + 13. Suppose -3*y - 2*y + 10 = 0. Suppose 0 = -y*w + 33 - 1. What is the smallest common multiple of o and w?
48
Suppose 27 + 9 = 3*z. Let r = -20803 - -20819. What is the least common multiple of z and r?
48
Let q = -81/8 + -93/8. What is the common denominator of q and -19 + (-6141)/(-2484) + 17 + (-6)/2?
36
Let s = -10 + 82. Let g = s - 66. Calculate the lowest common multiple of g and 25.
150
Suppose 4*j - 4*t + 43 + 37 = 0, -5*t = -2*j - 34. Let z be ((-11)/(j/(-60)))/(4/6). What is the common denominator of -167/30 and -4 - (-6)/z - -3?
30
Let i = -160 + 322. Let a = i - 160. What is the smallest common multiple of a and 3/3 + 1 - 0?
2
Let i be 12/(-18) - (-556)/42. Let r be 7 + (-318)/42 + 582/56. Let o = i - r. What is the common denominator of o and 95/6?
12
Let x(t) = 68*t + 2. Let a be x(-4). Suppose 4*k = -5*s - 8071, 3*k - 4*s = -2426 - 3635. What is the common denominator of -25/4 and k/a - (-4)/5?
36
Let k = -3681869578/33 + 111560016. Let p = 11791 + k. Let a = 3/173 - -83/5190. Calculate the common denominator of a and p.
330
Suppose 4*g = -l + 3170, -l = 19*g - 16*g - 2378. Calculate the smallest common multiple of 99 and g.
792
Let j be (-2)/2 - 1 - 3. Let p(x) = 50*x + 2*x**2 + 49*x + 42*x - 175*x + 44*x + 4. What is the lowest common multiple of 18 and p(j)?
36
Let t = 170 - 513. Let s = t + 347. Calculate the smallest common multiple of s and 8.
8
Let j(v) = v**2 + 4*v - 5. Suppose 0 = -0*u - 3*u - 24. Suppose -12343 - 1724 = -521*n. What is the least common multiple of j(u) and n?
27
Let o = 13867/180 + -1157/15. What is the common denominator of -49/90 and o?
180
Let w = -1013785957/942 + 1076206. Calculate the common denominator of 59/1256 and w.
3768
Let v(t) be the first derivative of 6*t**3 + 5*t**2/2 - 4*t + 10. Let p(g) = 10*g - 62. Calculate the smallest common multiple of p(7) and v(-4).
264
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