-33)/9)/((-1)/12). Let i = -18 + a. Suppose -17*j + 511 = 137. Calculate the least common multiple of i and j.
286
Let r(l) = -l**3 + 18*l**2 + 18*l + 18. Let q be r(19). Let y = 33 - q. What is the least common multiple of 20 and y?
340
Let t = 343058478187349/134288190 - 1060174114/415. Let l = t - 2/17977. Find the common denominator of (4 - 1 - 72/(-18)) + 34447/(-3990) and l.
90
Let z = -510 + 550. Suppose -41*u = -z*u - 6. Calculate the least common multiple of u and 8.
24
Let k(j) = -j**3 - 246*j**2 - 979*j - 2645. Let d = 7 + 3. Calculate the smallest common multiple of k(-242) and d.
170
What is the common denominator of 121/250 and (-2 - (-5979)/3000)/((-51)/357)?
1000
Let a(h) = 4*h**2 + 122*h + 252. Calculate the least common multiple of 1710 and a(-2).
6840
Let z = 997837733/15708 + -444669/7. Find the common denominator of z and -15/2.
2244
Calculate the common denominator of 17/726 and -6 + -4 - 3483/(-363).
726
Let p = 3157 - 175. Calculate the smallest common multiple of p and 3408.
23856
Let z = 5 + -1. Suppose -135*b - 5*d - 66 = -138*b, -30 = -5*d. What is the lowest common multiple of z and b?
32
Let r be 1*(1 + -1 - (-504)/8). Suppose 4*n + 3*i - 22 = -101, -3*n - i - r = 0. Calculate the common denominator of (-48)/(-1024)*n/1 and 93/20.
160
Suppose v - 5 = -4*m + 7, -3*m = -9. Suppose -29 - 6 = -2*c - 3*n, c - n - 5 = v. What is the smallest common multiple of c and 127?
1270
Let t = 6433/12 - 545. Calculate the common denominator of t and (-5)/4 + 1386/132.
12
Suppose 4*v + 13 + 3 = 0, 0 = -4*u - 5*v. Suppose 2*n = -u*n - 42. What is the common denominator of ((-1)/90)/(n/1251) and -79/18?
180
Let r(u) = -2*u**2 + 19*u + 24. Let a be r(11). Let v(i) = i**2 + 14*i + 47. Calculate the least common multiple of v(a) and 100.
100
Let v(g) = -2*g - 39. Let w be v(-8). Let r = w + 29. Suppose -r - 9 = -5*k. Calculate the lowest common multiple of 15 and k.
15
Let w be (0/3)/(0 - 2) + 2. Suppose 19 = 7*i - w. Suppose i = 3*b - 24. What is the lowest common multiple of b and 24?
72
What is the least common multiple of -35*(3 - 636/10) and 9?
6363
What is the common denominator of 88082/7980 + (19 - 17) + -13 and -169/330?
43890
Let p = 1980 + -1912. What is the smallest common multiple of p and 20?
340
Let s be 180*((-7)/2 - -4). Suppose 3*l - 35 = -2*l + 3*q, 2*l + 2*q + 2 = 0. What is the common denominator of 29/5 and (-6)/l*635/s?
60
Calculate the smallest common multiple of 44 and ((-92)/(-138))/((-4)/(-1392)).
2552
Suppose 0 = -9*j - 52 + 79. Suppose -29*l - j*o - 102 = -30*l, 4*l = -2*o + 352. What is the least common multiple of l and 36?
180
Let n be 2/8*(-3)/((-27)/72). Suppose n*b + 16 = 2*u + 84, -5*b - 5*u = -190. What is the lowest common multiple of b and 1?
36
Let w = -1217 - -1253. Calculate the smallest common multiple of w and 42.
252
Let n be (3/(-6))/(4/(-1336)). Let k = n + -112. What is the smallest common multiple of 5 and k?
55
Let r(i) = i**2 + 93*i + 86. What is the lowest common multiple of 30 and r(-104)?
1230
Let i = -85 - -77. Find the common denominator of -125/6 and 255/(-190)*i/(-6).
114
Let x(l) = -l**3 + 19*l**2 + 177*l - 17. Calculate the least common multiple of x(-7) and 274.
2466
Let t = -42 - -58. Suppose 4*c + c = -i + 32, -2*c = -2*i + t. Calculate the common denominator of 63/i*14/(-3) and -59/4.
4
Let i = -134459150/13 + 4076801366679/394160. Let s = 50/379 - i. What is the common denominator of -1/56 and s?
560
Let k(u) = 5*u - 10. Let v be k(7). Let p = v - 21. What is the least common multiple of p and 24?
24
Suppose 5*g - 39 = -4*v - 14, -20 = -4*g - 5*v. Let i = 4 + -46. Calculate the least common multiple of g and ((-2)/3)/(4/i).
35
Let k be 3/(-5502)*(-115390)/15. Let o = -13/131 + k. Let i = -1354/35 - -944/21. Calculate the common denominator of i and o.
105
Suppose -h - 5*z = -2*z - 16, 5*z = -3*h + 28. Let o(m) be the first derivative of m**2/2 + m + 3. Calculate the least common multiple of o(0) and h.
1
Let z = -1036627311/18050 + -1396400/361. Let d = z - -61297. Let g = 1344 + -14776/11. Calculate the common denominator of g and d.
550
Suppose -4 = -4*l + 4. Suppose l*d = 86 - 6. Let g = 358 + -334. What is the least common multiple of d and g?
120
Find the common denominator of 2/(-4)*(-3)/(1032/(-110)) and 151/258.
1032
Let r(u) = 13*u**3 + u. Suppose 0*l = -7*l + 63. Suppose q + 5*w = -l, -w - 10 = -3*q + 43. What is the lowest common multiple of q and r(1)?
112
Let d = -2447 + 17124/7. Let j = -706067/509495 - -3/29114. What is the common denominator of j and d?
70
Calculate the common denominator of 1*(-248)/20*25/(-30)*-1 and -31/1425.
1425
Calculate the common denominator of ((-46)/(-8))/((-15)/4) and -3 + 175/30 + (-10)/(-45).
90
Calculate the common denominator of 61/66 and 2 + -5 + 427/(-266) + 5.
1254
Let z be ((-44)/20)/((-3)/15). Let s(n) = n**3 - 11*n**2 - 3*n - 3. Let p be s(z). Calculate the smallest common multiple of ((-11)/4)/(9/p) and 6.
66
Find the common denominator of (10989/(-88))/(-9)*4/(-3) and 70/939.
1878
Let u = 363/37 + -2393/259. What is the common denominator of 36/511 and u?
511
What is the common denominator of 74/729 and (216/(-126))/(108/1176)?
729
Let g = 48/253 - 5279/13156. What is the common denominator of g and 443/624 + 2280/260 + -9?
624
Let t = 1189 + -676. Suppose t = -39*k + 48*k. What is the least common multiple of 18 and k?
342
Let r be (104 - 86)*(-202)/2920. Let s = 4/73 - r. Calculate the common denominator of s and -125/378.
1890
Let n = -67073/8694 + -44/621. Find the common denominator of 17/10 and n.
70
Let k be (816206/4600)/(78/5). Let r be (-6)/6 + (-8978)/(-8970). Let d = r + k. What is the common denominator of d and -145/6?
24
Let d(w) = 3*w**3 - w**2 + 2*w - 2. Let x be d(1). Suppose 3*z = -4*m - 6 + 2, 0 = -x*m + 4. Calculate the common denominator of (-9 - z)*(-1)/22 and -1/20.
220
Suppose 10*p + 4*d - 1676 = 5*p, -5 = 5*d. What is the common denominator of 36/5 and 3 - (4912/p)/((-30)/(-7))?
90
What is the common denominator of 15/9*(-9)/144*-132 and 10/(-3)*(-39)/8?
4
Suppose -66*u + 2423 = -1735. Calculate the least common multiple of 308 and u.
2772
What is the common denominator of 4/756*3612/(-70) and -131/450?
3150
Let t = -723 - -780. Suppose -59*k + 5*n + 40 = -t*k, -k + 20 = 5*n. What is the least common multiple of k and 105?
420
Let b(n) = n - 10. Let y be b(6). Calculate the common denominator of ((-81)/102)/((-2)/y) and (33/60)/(715/(-3575)).
68
What is the common denominator of 83/3410 and ((-9)/150*1)/((62496/(-690))/14)?
27280
Let g = 2/52871 - 47081/528710. Calculate the common denominator of 3/364 and g.
1820
Let s(c) = -c**3 - 6*c**2 - 5*c - 4. Let o be s(-5). What is the lowest common multiple of 2 and o/(-10) - 7/(210/(-288))?
10
Let l = 443 + -695. Calculate the common denominator of ((l/(-15))/7)/(522/(-40)) and -28/9.
261
Let f = -276 - -150. What is the common denominator of ((-4)/(-90))/(8/(-1430)) and (-3*7/f)/(4/(-291))?
72
Let k = -460/4739 - 37549/568680. Calculate the common denominator of -26/25 and k.
4200
Suppose 45 - 59 = -2*b. Suppose 8*y - b*y = 0. Suppose n + 5*n - 24 = y. What is the lowest common multiple of n and 14?
28
Let x = -143 - -148. Calculate the smallest common multiple of 5 and (-3 - (-2 - x)) + 6.
10
Let x = -4558 + 4606. Calculate the smallest common multiple of 804 and x.
3216
Let v = 6707/8 - 99055699/118152. Let r = v - -129643/29538. Let h = 1185/16 - 6237/80. What is the common denominator of h and r?
90
Let t(c) = 26*c + 4305. What is the least common multiple of t(-124) and 161?
7567
Suppose 7*b - 3*b + 20 = 5*j, -2*b = 2*j - 8. What is the lowest common multiple of 66/(-12) + j + (-22)/(-4) and 22?
44
Let a(l) = -l**3 + l**2 + 6. Let f be a(5). Let t = f + 120. What is the lowest common multiple of 10 and t?
130
Let r = -1/2256 - 3877/6522096. Calculate the common denominator of r and -19/14.
5782
Let q be -99*2/2 - 3. Let z = q + 65. Let l = z - -47. Calculate the least common multiple of l and 132.
660
Find the common denominator of (-6)/(-444)*12*(4 + -5) and 32/21.
777
Let r = 8536 + -8535. What is the lowest common multiple of 392 and r?
392
Let w(x) = 2*x**2 + 25*x - 202. Calculate the smallest common multiple of w(-20) and 518.
3626