Suppose -83 = -2*u - 10*s + 7*s, 3*u - 127 = -4*s. Suppose -k = -5*w + 8*w - u, -4*w + 82 = -2*k. Calculate the lowest common multiple of w and 9.
18
Suppose 0 = -2*n - 4*k + 66, -2*n - k = 2*n - 167. Let y be (7 + 8*(-5)/(-40))/2. Suppose -y*l - 11 = -n. What is the lowest common multiple of l and 50?
200
Let i(y) = -y**2 - 30*y + 2. Let d be i(-11). Let u = -182 + d. What is the least common multiple of u and 8?
232
Let g = 24 + -24. Suppose -150 = -3*b - g*b. Suppose b = 2*x + 18. What is the least common multiple of x and 12?
48
Let f(p) = p**2 + 6*p + 9. Let i = 36 - 40. Let t be f(i). Suppose -h - 2*v - 3 = t, -4*v = -5*h + 22. What is the lowest common multiple of h and 4?
4
Let f(y) = -25*y + 1076. What is the least common multiple of 77 and f(36)?
1232
Let p be 6/(-476)*(154/33)/(-7). Let n = 6185/357 + p. Find the common denominator of 47/72 and n.
72
Let j be (54/60 + (-9)/(-15))*2. Suppose -j*v = z - 39, -5*z = -0*z + 3*v - 183. What is the lowest common multiple of z and 16?
144
Suppose -12 = -z + 4*u + 7, -6 = -3*u. What is the lowest common multiple of z and 45?
135
Let k be (3*602834479358/508530222)/(-2121 - 2). Let h = 12/28251679 + k. Let s = h + -51/193. Find the common denominator of s and -113/30.
330
Let w = 1604 + -1602. What is the lowest common multiple of 278 and w?
278
What is the smallest common multiple of 105 and 640/11 - (84/231)/2 - 2?
840
Find the common denominator of -29/13 and ((-1176)/249228)/(-1*(-3)/(-18)).
12857
Let v(z) = z**2 - 3*z - 3. Let l be v(2). Find the common denominator of (-2)/l - (-77)/28 and (10/(-80))/((-51)/(-44)).
1020
Let p = 2089 - 2049. What is the common denominator of 87/1442 and p?
1442
Let w(d) = d**2 - 8*d + 5. Let q be w(7). What is the common denominator of (-110)/(-616)*q/(-5) and 75/262?
1834
Let t(q) = -2*q**3 - 17*q**2 - 43*q + 6. What is the least common multiple of t(-8) and 14?
2002
Suppose 312 = -6009*g + 6011*g. What is the least common multiple of 78 and g?
156
Let h = 1451/723850 + -1/14477. Let k = 10379/3100 + h. Find the common denominator of -47 and k.
20
Suppose -2*k + 93 = 5*s, 7*k - 9*k = -3*s - 117. Suppose 51*y - k*y + 9 = 0. Find the common denominator of (y - (-417)/(-126)) + 5/35 and 22/21.
42
Let u = -3608 - -216377/60. What is the common denominator of u and 61/430?
2580
Suppose 0 = 4*h - y - 2253, -h + 70*y - 67*y = -555. What is the least common multiple of 1504 and h?
4512
Let n(b) = -3*b**2 + 128*b - 250. Calculate the least common multiple of 920 and n(40).
6440
Find the common denominator of (-3)/45*(-83)/(-2) and (-1790)/924 - ((-6)/(-4))/((-336)/64).
330
Suppose -3*t - 1290 = -5*t. Suppose t = -4*b + f, 0*b - 3*b = 3*f + 465. Calculate the common denominator of ((-6)/(-9))/(-2 + b/(-87)) and -143/24.
168
Let m(b) = -b**2 + 30*b + 44. Let c be m(19). Let j = c + -177. What is the smallest common multiple of 12 and j?
228
Let o = -2836 - -2976. What is the smallest common multiple of 210 and o?
420
Suppose 0 = -20*r + 2597 + 2183. Let p = 245 - r. What is the smallest common multiple of p and 48?
48
Let i = 33375 - 33279. Suppose 3*y - 15 = -0*d - d, 0 = 5*d + 4*y - 42. Calculate the smallest common multiple of d and i.
96
Let p = -9/8201 + -16549573/41005. Let w = 54361/135 + p. What is the common denominator of -113/90 and w?
270
Suppose 0 = -4*w + v - 1, -w + 0*w - 5*v - 16 = 0. Let r(k) = 53*k**2 + 5*k + 2. Calculate the least common multiple of r(w) and 4.
100
Let k = 20287981/70065 + -47315/162. Let r = k + 186/173. What is the common denominator of r and 59/66?
330
Let c = -1473 + 1475. What is the lowest common multiple of 4128 and c?
4128
Let m = -1598 + 3769. Let r = -19586/9 + m. What is the common denominator of r and (5/(-10) - 1)/3 + 16/6?
18
Suppose 2*b - 375 = 5*y, 2*y - 210 = 6*b - 7*b. Let x = -195 + b. What is the smallest common multiple of (-4)/((18/(-15))/3) and x?
10
Let r(g) = -g**2 + 566*g + 4676. Suppose -m = -12 - 2. What is the lowest common multiple of m and r(-8)?
84
Let f = -23/11204 - 44832/333319. What is the common denominator of f and -33/16?
1904
Let b(w) = 4*w - 35. Let l be b(18). Suppose -3*t - 11 = 3*c - 74, -t - 5*c + l = 0. What is the smallest common multiple of 0 - (2 + 1 + -4) and t?
17
Let j(m) = 3*m**2 - 13*m - 248. Let s be j(58). Let t = 7 + -31/5. Calculate the common denominator of t and (s/(-240))/(18/4).
60
Suppose 0 = 3*u + q - 16 - 5, u = -3*q - 1. Suppose 13*i - 55 = u*i. Let l(y) = y**3 + 10*y**2 - 12*y. Calculate the smallest common multiple of l(-11) and i.
11
Let j = 51 - 49. Suppose 5*y = 3*n - 44 - 14, j*y + 18 = n. What is the smallest common multiple of 16 and (169/n)/((-2)/(-8))?
208
Let f = -2831998623/52 + 36187986246832/664469. Let p = f + 94/647. Calculate the common denominator of -23/9 and p.
2844
Calculate the common denominator of 427/(-28)*(253249/28135 + -9) and -39/55.
36410
Let q = 5256558/187 + -28110. What is the common denominator of -62/459 and q?
5049
Suppose -5*l - 4*b = 41, 2*l + 17 = -3*l + 2*b. Let o be 119546/(-10488) - (-6 - l). Let r = 8/437 - o. What is the common denominator of r and -49/4?
12
Calculate the common denominator of (1/4006)/((-388)/20952) and 41/5.
10015
Let o = -86119/530328 + 1/9304. Find the common denominator of o and 81/1444.
4332
Let j = 8721 - 52463/6. Find the common denominator of j and (3/(-18))/(10/(-177)).
60
Let z be -2 - 1/((-15)/10)*-6. What is the smallest common multiple of (-4)/z*3 + 43*6 and 22?
2860
Calculate the common denominator of 121/20 and 1/((-2)/8) + 23 + 10269/(-540).
60
Let i = -15159/7 - -2201. Let j = -865/42 + i. Find the common denominator of -7/15 and j.
30
Suppose -3*o + 3*d - 272 - 181 = 0, 4*d = -4*o - 612. Suppose -520 = -24*n - 3760. Let z = n - o. What is the least common multiple of z and 2?
34
What is the lowest common multiple of 3*(-1)/1*((-7360)/15 + 2) and 2199?
4398
Let f = 56399 - 103548557/1836. Find the common denominator of 29/324 and f.
5508
Let f(d) = -d - 8. Let l be f(3). Let x be (-6)/(-33) + 1475/55. Let o = x + l. Calculate the least common multiple of 76 and o.
304
Let n = -10361 + 341960/33. Find the common denominator of 71/1176 and n.
12936
Let j = 19237 + -153799/8. What is the common denominator of (-4)/(-2) + (-10)/7 and j?
56
Let v = -8763/4 + 26521/12. Calculate the common denominator of -2 + 98/(-93) + 3 and v.
93
What is the common denominator of ((-134541)/6237)/(0 + 180/(-14)) and 94/675?
1350
Let p = -15202 - -18130. What is the lowest common multiple of 80 and p?
14640
Let m = 360 - 11158/31. Let g = 307/527 + m. Let p = 2/120169 + -9493363/721014. Find the common denominator of g and p.
102
Suppose -2*l = 5 - 41. Let v = -69 - -75. What is the smallest common multiple of 30/4*(2 + (-4)/v) and l?
90
Let o be (-2)/5 + ((-128)/20)/4. Let j be 2 + ((-12453)/(-1248) - o). Let n = j + -148/13. Calculate the common denominator of n and 9/10.
160
Suppose 3*l - 26 = 16. Suppose 4*q + i - 405 = q, 0 = -2*i. Let n = q - 126. Calculate the least common multiple of l and n.
126
Let m = -18204127082/7369 - -2470366. What is the common denominator of 37/8 and m?
58952
Let v(w) = w**3 + 2*w**2 - 9*w - 8. Let z be v(-5). What is the common denominator of 13/(-117)*642/4 and 29/87 + 3/((-24)/z)?
12
Suppose 0 = 4*q - 200 - 112. What is the smallest common multiple of q and 261?
6786
Let g = -301097/15540 - -3651/185. Find the common denominator of -13/175 and g.
2100
Let n = -4351301/56421900 - -7/83588. Find the common denominator of -109/216 and n.
5400
Let m = -21638/1509 - -3/503. Find the common denominator of m and 6/13 + (-186138)/144391.
87
Let b = 277288 + -252332191/910. Calculate the common denominator of b and 9/35.
910
Let x(t) = -t**3 - 11*t**2 - 2*t - 4. Suppose -32*f - 22 = -30*f. What is the least common multiple of 64 and x(f)?
576
Let c = -8260 + 10027639/1214. Let g = 52819/12140 + c. Let a = 68/65 + 853/390. Find the common denominator of g and a.
60
Let n = 39 + -8. Let v = n - 15. Calculate the least common multiple of v and 1620/(-140) + 18 + (-3)/7.
48
Let v = 164622566/15 + -10966472. Let d = v + -8362. Calculate the common denominator of -20/33 and d.
165
Let k = -2/2051 - 30761/4102. What is the common denominator of k and -1/1694?
1694
Let b = 300 - 183. 