uppose -78*p + 540 = -82*p. Find the common denominator of 42/20*(-60)/p + -4 and 101/12.
60
Suppose -2068 + 67188 = 55*x. Suppose -2*u - 2*s = 3*s + 1, -4*s - 68 = -4*u. What is the smallest common multiple of u and x?
3552
Let q(p) = 3*p**2 - p - 2. Let x be q(3). Let w be 3 + 2/(-1) - 21. Calculate the common denominator of 16 and (108/w + 5)/(1/x).
5
Let u = -798679/60 - -13310. What is the common denominator of u and -117/1420?
4260
Let p be (2 - 30/(-4))*14. Calculate the common denominator of -31/12 and 5 + (p/(-36) - 15/12).
36
Let c = 4 + -2. Let u be ((-1)/(-2))/(22 - 221/10). Calculate the smallest common multiple of 39 and (-40)/u - (c + -2).
312
Suppose -444 = -6*k + 3576. What is the smallest common multiple of k and 2613?
26130
Let s be 3 + ((-1)/(-2))/(8/(-16)). Let q(o) = -39*o + 8. Let t be q(s). Calculate the common denominator of -1 - (t - 9/3)/14 and 69/16.
112
Suppose 0 = -2*l + 5*l - 27. Let d(b) = 19*b - 234. Let j be d(13). Suppose 72 = 19*k - j*k. What is the least common multiple of l and k?
36
What is the common denominator of (-53)/585 - 0/(4/8*-2) and 43/30?
1170
Calculate the common denominator of 91/324 and 4 + ((-93194)/45288 - (-2 + 4)).
11988
Suppose -a = 7*a - 768. Let o(r) = -r**3 + 12*r**2 - 27*r + 24. Calculate the lowest common multiple of a and o(9).
96
Let u(t) = t**3 - 2*t**2 + 5*t + 3. Calculate the smallest common multiple of u(3) and 2886.
25974
Let u = 34 - 27. Let f be (0 + (-3)/6)/(u/626). Let b = f + 3307/63. Find the common denominator of b and -18/11.
99
Suppose 0 = 5*a - 111 - 9. Let b = -12 - -52. Calculate the lowest common multiple of b and a.
120
Let y(t) be the second derivative of 2*t**3/3 + 9*t**2 - 18*t. Let s be y(-8). Find the common denominator of 76/s + -2 - (-14 + 13) and -151/6.
42
What is the lowest common multiple of (-2 + (-10)/(-4))/((-1)/(-10)) and 1993/9 + (-540)/1215?
1105
Let j(b) = -b**3 + 27. Let k be (14/(-14))/((-2)/4) + 0. Calculate the lowest common multiple of 8/k - 24/8 and j(0).
27
Let i = 2563/2 + -112843/88. Calculate the common denominator of i and -99/20.
440
Let q = 110786407/358 - 309459. What is the common denominator of q and (-3)/6 - (13515/60)/17?
716
Let n = -23783/9 - -2639. Suppose -10*j + 141 = 561. Calculate the common denominator of n and (-22)/(-240)*(-1848)/j.
90
What is the common denominator of -3/56 and (231/(-736))/((-60)/16 + (9 - 6))?
1288
Let b = 5770 - 126915/22. What is the common denominator of b and 137/4602?
50622
Suppose -t - 3*p = 3*t - 364, 0 = -4*t + p + 348. Calculate the smallest common multiple of 110 and t.
440
Let p = -30405 - -425759/14. What is the common denominator of p and ((-8)/(-4))/((-44)/(-59))?
154
Let c(d) = -413*d - 4106. What is the smallest common multiple of 1 + 6 + -1 + -2 and c(-10)?
24
Suppose -8*t + 15*t - 14 = 0. What is the common denominator of (11/t)/(170/(-51)) and 39/172?
860
Suppose -317*i = -162*i - 2790. Let y = -3708/5 + 746. Calculate the common denominator of i and y.
5
Let u = 6076153/112 - 54251. Calculate the common denominator of u and -73/504.
1008
Suppose 2*q + 2*q - 8 = 0. Suppose -2*i + 7*i - 110 = 0. Suppose i = 4*m - 26. Calculate the smallest common multiple of q and m.
12
Let z = 114 + -111. Suppose 3*v - 161 = -v - 3*n, z*v - 2*n = 125. What is the smallest common multiple of v and 12?
492
Let x = -34484 - -2793262/81. Find the common denominator of -67/30 and x.
810
Find the common denominator of -145/42 and 5 + 1633/6*1179/(-64190).
2940
Let w = 7444/2163 + -4/309. Let h = -821181/50 + 16422. What is the common denominator of w and h?
350
Suppose 0 = -950*p + 939*p + 165. Suppose 4*o + 77 = -3. What is the common denominator of (-1150)/o*(-4)/p*1 and -59/6?
6
Suppose -8*k = -766 - 24226. Let y = 31307/10 - k. Let i = 1449 + -17461/12. What is the common denominator of i and y?
60
Let h = 35585 + -2348501/66. Let i = h - -35/11. Find the common denominator of i and -41/66.
66
Let a = -95077 - -18825185/198. What is the common denominator of a and 133/660?
1980
Let p = -34705/1492 + 4/373. Let c = 445 + -349. Find the common denominator of p and ((-584)/c)/(1/3).
4
What is the common denominator of -97/10 and 27/264*20/26?
2860
Suppose -3*u - 9 + 9 = 0. Let p be (-612)/(-48)*(-4 + u). Let g = 67 + p. What is the lowest common multiple of 30 and g?
240
Calculate the common denominator of (-3)/24 + -9 + (-438578)/(-47824) and 103/6.
2562
Let v be (-4 + (-32)/(-5))/((-3)/10). Let h be 4/3 + v/(-3). Suppose 0 = h*a - 1 - 19. What is the least common multiple of 7 and a?
35
Suppose 870*o = 858*o + 216. What is the smallest common multiple of 126 and o?
126
Let u = 140011/54 - 2592. What is the common denominator of u and 79/126?
378
Let x = 8327071/120 - 69391. Find the common denominator of 29/36 and x.
360
Suppose 5 = -f - 4. Let l = -7 - f. What is the smallest common multiple of 490/63 + 52/234 and l?
8
Let h = 73903/10 - 7387. Find the common denominator of h and 59/8.
40
Suppose 2*w - 6*w = 1228. Let b = 610 + w. What is the common denominator of -13/18 and b/(-99) - (-10 - -5)?
198
Find the common denominator of -89/2028 and (-4717)/(-1068) - (0 + -2).
2028
Let q(l) = l**2 - 7*l + 8. What is the least common multiple of q(7) and (-27 - -77) + (2/(-2) - 9)?
40
Let s be (-6)/(2/3*(-3)/13). Let p be 10*(12389/s)/(4/6). Let g = -47691/10 + p. Calculate the common denominator of g and -73/6.
30
Let q = -100 - -111. Suppose -5*m - 28 = -2*k + q, 4*m = 4. What is the lowest common multiple of k and 122?
1342
Suppose -131236 = 325*b - 411*b. What is the least common multiple of 981 and b?
13734
Let r be (57/12)/((-11)/73348). Let x = 1393695/44 + r. Calculate the common denominator of 67/56 and x.
616
Suppose 2*y - 143 = -3*b + 2, 3*y = -5*b + 215. Suppose 0*w - 4*w = -y. What is the smallest common multiple of w and 10/(-20)*-6 + 11?
140
Suppose -s + 210 - 54 = 4*n, -s = 2*n - 76. Let x = n + 65. Calculate the lowest common multiple of x and 24.
840
Let j(q) = 1396*q - 2176. What is the lowest common multiple of j(14) and 8?
17368
Suppose -288*v + 9827 = -29341. What is the smallest common multiple of v and 697?
5576
What is the lowest common multiple of 48 and (9/18)/(-3 + (-13845)/(-4614)) - -9?
18672
Let c(f) = -10*f**2 + 6*f + 1. Let w be c(1). Find the common denominator of 6672/(-1440) - w/10 and 63/10.
30
Suppose 21 = 4*x + 3*v, 0 = 3*v - 2*v - 3. Find the common denominator of (-2)/x*-6 - (-270)/200 and -101/30.
60
Let n(g) = 3*g**2 + 2*g - 78. Suppose 0 = -3*b + 11 + 7. What is the least common multiple of n(-13) and b?
2418
Let c(r) = 89*r**2 - 4*r - 2. Let d be c(-1). Suppose -1372 = -98*s + d*s. Calculate the lowest common multiple of s and 4.
196
Let d be ((-7)/((-12292)/(-32)))/((-151)/57307). Let r = -1034/151 + d. Calculate the common denominator of -97/6 and r.
2634
Let d be 54/(-27) + (0 - -5). Calculate the smallest common multiple of 6 and 6/(-1) + d + (-54)/(-3).
30
Suppose 0 = -p + 3*v + 14, -205 = -5*v - 225. Suppose 173 = 3*m - 340. Calculate the lowest common multiple of p and m.
342
What is the common denominator of 11 - ((-12)/(-24))/(60/726) and -87/7580?
7580
Suppose 3*k = -5*r + 256, 122*r + 4*k + 42 = 123*r. What is the smallest common multiple of r and 226?
5650
Find the common denominator of 73/478 and (-148)/(-44)*-2 - 9/(-18) - -5.
5258
Let d = 164/203 - -18191/4872. Let i = 3528955/36 - 98024. Find the common denominator of i and d.
72
Let h(c) = 4*c**2 + 6*c - 3. Let x(j) = -j**3 + j**2. Let z be x(2). Let p be h(z). Let k = p + -29. Calculate the lowest common multiple of k and 30.
120
Calculate the common denominator of 77/24*194/(-4753) and 113/560.
1680
Suppose -5*t + 35*n = 34*n - 116, -4*t + 3*n = -106. What is the lowest common multiple of t and 592?
6512
Suppose -5*p + o = -421, p - 5*p + 339 = -3*o. Suppose -6*v = -4*v - p. Suppose 7*s - 770 + 630 = 0. What is the least common multiple of v and s?
420
Let a = -37269408449/136 + 274041039. Let v = a + -1271. What is the common denominator of v and -77/8?
136
Calculate the smallest common multiple of (-2478)/(-708) + 3683/2 and 27.
5535
Suppose 0 = 11*u - 14*u + 18. Let a = 31 - 31. Suppose 13*r + r - 924 = a. What is the smallest common multiple of u and r?
66
Suppose -6 = -5*u - v, 3*