q) = q**2 + 4*q - 26. Let p be m(5). Suppose 6*y + 184 = 10*y. Let o = y - p. What is the least common multiple of o and 21?
189
Let m(w) = -w**3 - 68*w**2 - 65*w + 310. What is the lowest common multiple of 42 and m(-67)?
3696
Suppose -5*f - u = -33, 0 = -2151*f + 2152*f + 2*u - 21. Suppose -2*p + p + 9 = 0. What is the smallest common multiple of p and f?
45
Suppose 0 = c + 2*c - 147. Find the common denominator of ((-1)/7)/((-18)/c) and ((-8)/60 + 68/35)/(30 - 31).
126
Suppose 0 = -72*l - 154*l - 26*l + 3528. What is the lowest common multiple of l and 12694?
88858
Let r = 541/4431474 + -51050822819/32234541876. Let l = r - -1/3637. What is the common denominator of l and (15/(-240))/((-3)/596)?
12
Let v be 34/4*(-31 - -21). Let r = -65 - v. What is the lowest common multiple of r and 10?
20
Suppose 7 = -5*q - 4*f, -2*f + 3*f = -q - 2. Find the common denominator of q - 4 - (-928)/(-87) and 67/174.
174
Suppose -177480 = 33*z - 120*z. Calculate the lowest common multiple of z and 102.
2040
Let b(h) = 24*h - 6. Suppose -5*k - 37 + 42 = 0. Calculate the least common multiple of b(k) and 36.
36
Let s = 208447/30 + -6952. Find the common denominator of s and -91/3036.
15180
Suppose 3803*t - 3804*t + 348 = 0. Calculate the lowest common multiple of 42 and t.
2436
Let x = 31651336/231 - 137019. What is the common denominator of x and 17/11?
231
Let j = 1420054 - 2629939939/1852. Find the common denominator of 79/18 and j.
16668
Suppose 0 = -8967*k + 8962*k + 50. Calculate the smallest common multiple of 14 and k.
70
Calculate the common denominator of -10 + 12/(39648/32728) and 19/354.
2478
Let x be (-84)/(-9) + 3/(-9). Suppose 0*r - 9*r = -x. Calculate the smallest common multiple of 12 and (-4)/(r - 5)*12/1.
12
Suppose -3*j + 40 + 5 = -3*o, 0 = 3*o - 9. Suppose 36*a + 60 = 40*a. Suppose r + 5 - a = 0. Calculate the lowest common multiple of r and j.
90
Let s = -183218/8205 + -9/2735. Let i be (-1 + -1)*(4 + -5). Calculate the common denominator of i/(-5) + 706/90 and s.
9
Let a = 571/14 - 631/28. What is the common denominator of 79/4248 and a?
4248
Suppose -16*o + 2912 = -24*o. Let d = -348 - o. Calculate the smallest common multiple of d and 32.
32
Suppose 3*a = x - 1401, -3*x - 2335 = 5*a + x. Let u = a - -2319/5. What is the common denominator of u and -33/4?
20
Calculate the common denominator of (-4)/18 - (-11)/((-26334)/(-2359)) and -3 - ((-358)/(-8))/(-71 + 56).
1140
Let a = 12530527/1895382 - -3/105299. Let w = -44493/8 - -5569. What is the common denominator of w and a?
72
Let d = 5573 + -5529. What is the smallest common multiple of d and 132?
132
Suppose 4*u - 2039 = 5*w, 35*u - 5*w - 1007 = 33*u. Calculate the smallest common multiple of u and 516.
516
Let m = 2142/11 - 13015/66. What is the common denominator of 57/1232 and m?
3696
Suppose -3*y + 0 = 15. What is the common denominator of 32/3 and y/(-5)*-2*118/(-228)?
57
Let g = 37 + 173. What is the smallest common multiple of 140 and g?
420
Suppose 9 = 4*p + 21. Let h be 66/11 + 1 + p. Calculate the least common multiple of (-204)/(-26) + h/26 and 4.
8
Let k(t) = -570*t - 6816. What is the least common multiple of k(-12) and 24?
24
Let l = 80 + -78. Suppose -l*w + 1 = -21. Suppose w*p - 548 = -130. What is the least common multiple of 2 and p?
38
Suppose c - 5 = 13. Calculate the smallest common multiple of c and (-25)/(-200) + 956/32.
90
Let u = -4/4441 - -15889918/22205. Let y = u + -711. Find the common denominator of y and 4/15.
15
Let d = -1722 + 79223/46. Calculate the common denominator of 39/128 and d.
2944
Let l = 89679/20 + -4487. Let c = -25425 + 6457939/254. What is the common denominator of l and c?
2540
Let p = -55799/21 + 18672/7. What is the common denominator of (-3)/(-3)*38/(-128) and p?
192
Let g = -2231/3 + 13441/18. Let c be 94/16 + (-1)/(-8). Find the common denominator of (145*1)/((-42)/c + 1) and g.
18
What is the common denominator of -82/195 and 24/(-378)*26520/(-416)?
1365
What is the common denominator of (390/1417)/(((-66)/(-8))/11) and -16/9?
981
Let f be 462/(-12)*(15 - -1). Find the common denominator of (-1460)/f + (-1)/7 and 26319/1116 + 2/(-6).
44
Let r = 206419 + -669829643/3245. Let s = -39481/29205 - r. Find the common denominator of s and -27/20.
180
Let t = 1834689 - 8523965035/4646. Find the common denominator of t and -13/10.
23230
Let i be 0 + (-2 + 20 - 3). What is the lowest common multiple of -2 - (5 + -4 - 27) and i/20*-2*(-10)/1?
120
Let c(a) = a**3 - 7*a**2 - 8*a - 8. Let w be c(9). Find the common denominator of (w*(-2)/(-8))/1 and (1/(-15))/((-328)/(-6642)).
20
Let i = 847 - 849. Suppose 0*z - 324 = 2*z. What is the common denominator of 37/27 and i - (-3)/(z/(-224)) - 2?
27
Let r = -53985 + 10689121/198. Find the common denominator of r and 25/64.
6336
Suppose -g = -3*a + 3 + 1, -2*g - 5*a = -36. Suppose 7*j - 15 + 1 = 0. What is the smallest common multiple of 194/18 - ((-48)/(-27) - j) and g?
88
Let d = 71 + 87. Suppose -5*p + 122 - 12 = 0. Calculate the least common multiple of d and p.
1738
Let d = -9185 + 433. Let c = -3999 - d. Let y = c - 218691/46. What is the common denominator of y and 37/7?
322
Let v = -2193/38 - -70267/1197. Let n be ((-321)/2)/(11/(22/(-24))). Let t = -589/40 + n. Calculate the common denominator of v and t.
1260
Let d = -62275/12792 + -48/533. Calculate the common denominator of d and -85/2094.
8376
Calculate the common denominator of (-4 - 39/(-12))*((-238)/(-255) - 4) and -18/1735.
3470
Suppose 879 - 1509 = -18*j. Calculate the lowest common multiple of 3885 and j.
3885
Suppose k + 64 - 24 = 0. Let q be (47/(-12))/(k/4545) - 3. Let x = -442 + q. Find the common denominator of -69/32 and x.
32
Let m(j) = 6*j - 11. Let y be m(11). Let a = y + -61. What is the least common multiple of (44/a)/(((-32)/(-36))/(-4)) and 21?
231
Let j = 827 - 647. What is the least common multiple of j and 180?
180
Let o(z) = 280*z + 206. Let d be o(26). Let r = 1961325/262 - d. What is the common denominator of -3/10 and r?
1310
Let n(k) = -2*k**2 + 17*k + 1. Suppose 23*f = 25*f - 2. Let h(q) = 6*q**2 + 4*q - 3. Let w be h(f). Calculate the smallest common multiple of n(w) and 2.
22
Let s = -2053 - -10208/5. Find the common denominator of s and 139/246.
1230
Suppose 0 = -3*z + 2*u + 385, -521 = -4*z + 3*u - 8*u. Suppose 2*g = -2*g + 8. Find the common denominator of g/(-3 + 393/z) and -2/5.
5
Let s be (-1)/(-1 + 2) + 16. Suppose -s*o + 801 + 9 = 0. What is the least common multiple of 36 and o?
108
Let u = -6007 - -6016. Calculate the lowest common multiple of u and 3187.
28683
Let h(t) = 2*t + 7. Suppose -5*v + 4 = -d, -3*v + 12 = -5*d + 2*d. What is the lowest common multiple of 151 and h(v)?
1057
Let a = -700 - -1537. Suppose 2*f - 859 = -a. What is the lowest common multiple of (-1)/(-4) + (-6)/(-8) and f?
11
Let q = -4363/12 - -2464/3. Let h = -483 + q. What is the common denominator of (-31)/23*(-24)/36 and h?
276
Let s(o) = 2*o - 2. Let y = 389 - 470. Let d = y - -123. What is the lowest common multiple of s(4) and d?
42
Find the common denominator of ((-408)/(-656))/((-780)/325) and 44/861.
6888
Let k(c) = 4*c. Let a(b) = -b - 1. Let x(y) = 3*a(y) + k(y). Let r be x(5). What is the smallest common multiple of (r/(-1) - -3)*12 and 21?
84
Let m = -152 - -96. Let d = -55 - m. Suppose -9*y - 68 = -11*y. What is the smallest common multiple of d and y?
34
Suppose -5*o = 21*o + 8320. Let m = 329 + o. Calculate the smallest common multiple of (2/(-4))/((-1)/6) and m.
9
Let p = 23263/4776 + 34/199. What is the common denominator of p and -17/18?
72
What is the common denominator of (-14728)/1008 + 15 + 4 and 101/5412?
16236
Let u = 3223 + -128847/40. Let h be ((-5045)/592 + -2)/(-13). Let s = h - -3/962. Find the common denominator of u and s.
80
Let v(w) = w - 19. Let y be v(7). Let l be y/(-10)*(-385)/(-14). What is the common denominator of (-6)/(-7)*189/l and 29/8?
88
Suppose 0 = -59*n + 3*n + 21672. What is the smallest common multiple of 18 and n?
774
Let y be (2 + 1)/(4 + (-25)/10). Let n = -25751/4155 + -2/831. What is the common denominator of n and y/(-4)*-15 + (3 - 1)?
10
Let v = 187385/26 - 7206. Let g = 4051 - 72949/18. Find the common denominator of v and g.
234
Let k(v) = -2*v**2 - 202. Let b be k(0)