l. Suppose 76*k = 85*k - 180. Calculate the smallest common multiple of l and k.
40
Suppose 0 = -5*p - 2*p + 259. Let z = p - 39. Let b = 18 + z. What is the least common multiple of 6 and b?
48
Suppose 5*t + 8 = 13, -2*f + 5*t + 11 = 0. Suppose 3*i - 19 = -a + 14, -44 = -4*i - 2*a. Find the common denominator of -59/10 and ((-2)/f)/(i/77).
20
Let c be 3/(-1) + 5750/(-46). What is the common denominator of -1/12 and c/90*(-5)/9*1?
324
Calculate the lowest common multiple of 468 and 4/80*15*1456/7.
468
Suppose 0 = 5*r + 2*r - 588. Suppose -5*y = 7*y - r. What is the least common multiple of 24/((-6)/(-2)) - -1 and y?
63
Let b(r) = r**3 + 36*r**2 - 308*r - 281. Suppose -j = -5*v + 4 - 3, 3*j + 3 = 0. What is the lowest common multiple of b(-43) and v + 0/(-3) + 6?
60
Let g(i) = 23*i**3 - i**2. Let z be g(-1). Suppose -2428 = -7*y - 300. Calculate the common denominator of -49/8 and 78/y*z/(-18).
152
Let w be ((-10796)/(-28))/(9*(-20)/(-14)). Let f be 89*2*1/5. Let c = f - w. What is the common denominator of c and 89/6?
18
Let f(a) = -2*a**3 - 65*a**2 + 31*a - 63. Let t be f(-33). Suppose t*h - 70 = -5*w, 4*h - 5*w = -0*h + 70. What is the lowest common multiple of h and 100?
100
Let g = 21549 - 948187/44. Calculate the common denominator of ((-104)/48)/((-2)/(-9)) and g.
44
Let q = 142/117 + -10/13. Let d = 1 + 13. What is the common denominator of (8/d)/((-6)/(-49)) and q?
9
Let s = -1119841/42 + 26660. What is the common denominator of (137/8)/(18/8) and s?
126
Let n = -4/139345 + -16609848/2647555. Let k = 66/19 + n. What is the common denominator of k and -15/28?
140
Let f = -6/671 + -57011/2684. What is the common denominator of (-25550)/(-6600) - 12/(-36)*-5 and f?
44
Let d(w) = -8*w + 72. Let q be d(19). Let c = q - -83. Let z(f) = f**3 + 8*f**2 - 19*f + 14. What is the least common multiple of c and z(-10)?
12
Suppose -5*h + 16 = 3*l, 0 = -h + 2*h - 2. Calculate the smallest common multiple of 15 and 9*l/30 - (-2)/5.
15
Let h be (-11)/(165/2) + (-3748)/15. Let n = h - -304. Calculate the lowest common multiple of n and 14.
378
Suppose 419*s + 15 = 422*s. What is the least common multiple of 398 and s?
1990
Let q = 164/7 - 2521/84. Let j = -3290009/22 + 1085467/6. Let n = j + -31363. Calculate the common denominator of q and n.
132
Let o = 1114869329/5673 - 196522. Calculate the common denominator of -70/9 and o.
17019
Let o be (5 - 6) + 1*-12. Let u(i) = -i**3 - 13*i**2 + i + 16. Calculate the smallest common multiple of (2/6)/((-1)/(-9)) and u(o).
3
Suppose 5*q - 348 = q. Suppose 8 + q = 5*w. Let j(k) = -k**2 + 18*k - 6. What is the common denominator of -149/6 and j(w)?
6
Suppose 5*a = -22*b + 21*b + 36, 0 = 3*b - a - 108. Let l(u) = 13*u**2 - 1. Let v be l(-1). What is the lowest common multiple of v/(-8)*(1 + -9) and b?
36
Suppose 5*z = 5*u - 1765, 0 = -5*z - 8*u + 10*u - 1762. What is the common denominator of 60/(-330) + (-1230)/z and -59/55?
880
Suppose -b - 5*j + 27 = 0, -4*j + 33 - 213 = -4*b. Suppose 0 = -15*q - b + 402. What is the least common multiple of q and 3?
24
Let g = -17671348/6097 - -37680/13. What is the common denominator of 7/603 and g?
4221
Let m = 11213/5 - 773708/345. What is the common denominator of 179/30 and m?
690
Find the common denominator of -4*1156/1920 + 8/(-10) and 57/152*(-2)/126*338.
168
Suppose 10*x + 26 = -124. Let i = -9 - x. What is the lowest common multiple of 18 and (-3)/i*-2*9?
18
Suppose 4*b + 4*h - 32 = 0, h - 2 = -3. Calculate the common denominator of (-24)/320*726/b and -1 - 2 - 270/96.
80
Suppose 4*c = -286 + 318. Suppose 3*r - 84 = -10*u + c*u, 2*u - 52 = 5*r. Calculate the lowest common multiple of u and 8.
72
Let n = 5218 + -3778. What is the lowest common multiple of n and 300?
7200
Let k = 24020189/3444 - 48820/7. Calculate the common denominator of 139/984 and k.
984
Suppose 0 = -39*f - 5857 + 9601. What is the lowest common multiple of f and 1038?
16608
Let v = 16765/173 - 80967857/835590. Calculate the common denominator of 89/12 and v.
9660
Let l = 49507 + -26354. Let k = l + -15794. Let u = -80893/11 + k. What is the common denominator of u and 8/7?
77
Let m be 18/(-448)*(-5)/(-56475)*172506. Let w = m - -2/1757. What is the common denominator of w and -37/25?
400
Find the common denominator of -113/900 and 30/110 + (-71111)/8415 + (7 - -1).
900
Let u = -981 + 989. What is the smallest common multiple of u and 686?
2744
Let q = 43 + -34. What is the least common multiple of 60 and q*(0 + 0 - 22/(-33))?
60
Calculate the common denominator of 17/756 and -3 + (2/(720/(-454)))/((-266)/627).
7560
Suppose -5*h - 1 = s + 2, 2*s - 4*h = -6. Let i = -1057/66 + 68/11. Calculate the common denominator of s + 1 + (-6)/(-63)*-48 and i.
42
Let v = -98/113 - -35842/35595. Find the common denominator of v and -47/18.
630
Let t = -2894 + 3785. Calculate the smallest common multiple of 990 and t.
8910
Let c = -367010672/129805 - -3/25961. Let j = 1819 - 4637. Let i = j - c. Calculate the common denominator of 26/21 and i.
105
Suppose 4*q - 680 = 10*k - 12*k, -q - 3*k + 180 = 0. What is the smallest common multiple of q and 252?
504
Calculate the smallest common multiple of 378 and ((-63)/(-2))/((-332)/(-6640)).
1890
Let a = -368162/33 + 11155. Calculate the common denominator of 76/4227 and a.
46497
Suppose 5*y = -5*s, -3*y = 10*s - 5*s - 6. Suppose 3*m - 39 - 27 = -s*i, 0 = i + 3*m - 26. Calculate the smallest common multiple of i and (-2)/8 - (-275)/44.
60
Let b be 6/4 + 4/8. Suppose 4*y - 13 = -3*t + 11, b = 2*y + 4*t. Suppose -151 = -22*k + 3. What is the smallest common multiple of k and y?
63
Let p = 28390141/198 - 143385. Calculate the common denominator of 157/78 and p.
2574
What is the least common multiple of 2/(-8)*(-76 + -16) + -7 and 1160?
2320
Let y be (40/(-32) - -1) + 2111/8028. Let z = 76519/32112 + y. Find the common denominator of -10/21 and z.
336
Let n(p) = 6*p**2 + 8*p + 2. Calculate the lowest common multiple of n(-3) and (-48)/(2*(-3)/9).
288
Let i(p) = -2*p**3 - 20*p**2 - p - 14. Let y be i(-10). What is the lowest common multiple of 10 and (-3)/((-85)/60 - y/6)?
20
Let u be (-9756)/(-27) - 32/(-12). Let m = u - 354. What is the least common multiple of 149 and m?
1490
Let n(a) = 20*a - 4. Let d be n(-7). What is the common denominator of -9/4 and 8 - 5 - (6116/d)/(-11)?
36
Find the common denominator of ((-3492)/720)/(18/(-15)) and 1/638.
7656
What is the common denominator of -2 + 5 + (-1057)/392 and -13/8?
56
Calculate the common denominator of -54/545 and (-1)/((-80)/228)*(-24)/45.
2725
Let t = -437391/49 + 8926. What is the common denominator of t and -27/133?
931
Let g(a) = -2*a - 36. Let u be g(-12). Find the common denominator of 11/51 and u/36 + (-68)/45.
765
Suppose -4*s = 2*g + 4, -s = 3*g - 22 + 3. Let f(o) = -2*o - 132. Let b be f(18). Let h = b + 174. What is the smallest common multiple of h and g?
24
Let g = 35547 + -35543. Suppose 0 = 2*z + 4 - 0. Calculate the smallest common multiple of (1 - (2 + z)) + 0 and g.
4
Let c(k) = k**3 - 7*k**2 + 7*k - 2. Suppose -q + 4 = 3*m - 15, 5*m = -4*q + 34. Suppose -m*s + 43 = 37. Calculate the smallest common multiple of s and c(6).
4
Suppose 3*w - 3*v = -8*v - 2018, 5*v - 2714 = 4*w. Let t be (-57110)/84 - (-4)/(-14). Let o = w - t. Calculate the common denominator of -31/9 and o.
18
Let i = 23451740 - 57198791686/2439. Let t be (4/(-813))/(5 + -3). Let s = i + t. What is the common denominator of 79/21 and s?
63
Suppose -21*q + 215 = -226. Suppose 2*j + 4 = 0, -4*x + j + q = -37. Suppose -2*r + 0*r = -4. Calculate the smallest common multiple of r and x.
14
Let q = -1607/6 + 265. What is the common denominator of (-21)/(-6)*(257992/(-9408) + 28) and q?
48
Suppose -5*o - 1372 = -1472. Calculate the least common multiple of 0 - 2 - (-26 + -8 - -8) and o.
120
Suppose -591 + 463 + 324 = 4*i. What is the lowest common multiple of 42 and i?
294
Let j(n) = 18*n**2 - 14*n - 220. Calculate the least common multiple of j(-9) and 12.
4092
Let o = -39255 - -1413055/36. What is the common denominator of 157/30 and o?
180
What is the common denominator of 35*9/189*-3 - (-4611)/930 and (-2)/3 + 428/24?
930
Let m = 226 - -170. What is the common denominator of -69/10 and 187/m + (-2)/(-12)?
180
Let v be (-4 - (-38)/(-3))/