29699272889/30862820 + -1691947637715209. Let n = -2/179435 + z. What is the common denominator of n and -59/18?
1548
Suppose 0 = -5*v - 0*v + 120. Let u(w) = -8*w**2 + 25*w - 126. Let i be u(7). Let l = 358 + i. What is the least common multiple of l and v?
120
Let u(f) = -314*f - 3. Suppose z - 35 = 3*m, 8*z = 7*z - 3*m - 19. What is the lowest common multiple of z and u(-2)?
5000
Let b be (2/124)/(-20 + 1)*-12. Let m = b - 53623/2356. Calculate the common denominator of 67/18 and m.
36
Calculate the common denominator of -143/756 and (-1 - 1)/(-70)*(293910/(-324))/(-101).
756
Let z be (-1 - 382275/20)/(22/(-12)). Let n be (1 - 2) + -7 + 10438. Let i = n - z. What is the common denominator of -83/18 and i?
198
Suppose -h = 2*z - 17, 35 - 8 = 3*z + h. Let g = -191 - -205. What is the lowest common multiple of g and z?
70
Suppose 16*n = 28 + 20. Let f be (2 + 2)*(4 - n). Find the common denominator of -9/20 and 2615*(-9)/(-3150) - f/10.
140
Let b = 38847/4 + -19899/2. Let m be 289340/1200 - 2/6. Let g = m + b. What is the common denominator of -38/21 and g?
210
Suppose -3*z - 28 = -z + 4*f, f + 52 = -3*z. Calculate the common denominator of ((-314)/(-18))/((-138)/z + 5) and 71/16.
912
Calculate the least common multiple of 35 and (-260)/6*(-11 - (-98)/28).
2275
Let g = 445 - 235. What is the least common multiple of g and 40?
840
Let b(f) = -162*f - 236. Let h = 42 - 20. What is the least common multiple of h and b(-2)?
88
Let w be 20 + -16 + 42/(-28) + (-10034)/(-4). Suppose 2*j + 0 - 10 = 0. What is the common denominator of ((-16)/j)/(w/225 - 5) and -38?
77
Let h(f) = -f**3 + 18. Let k(q) = 2 - q**2 + 2 - 4*q**3 - 3*q + 5*q**3 + 3*q**2. Calculate the least common multiple of k(-3) and h(0).
36
Let r be (-2)/((-15)/12 + 1). Let i = 13 - r. Suppose -3*w + 5*g + 28 = 0, 4*w + g + 14 - 13 = 0. What is the lowest common multiple of w and i?
5
Let x be ((-11)/44)/(3/12). Let n(l) = -55*l**3 - l**2 + 3*l + 3. Calculate the lowest common multiple of n(x) and 18.
54
Let y = -125 + 140. Suppose -l + 17 = n - 4*l, 4*n = 2*l + 28. Suppose 3*o - n*j - 106 = 0, -o + 2*j = -j - 30. Calculate the lowest common multiple of y and o.
210
Let g be (-40)/(-3)*(550/20 - 8). Suppose -g = -4*s + 7*w - 3*w, -3*s + 207 = w. What is the least common multiple of 68 and s?
68
Suppose 52080 = -12*o - 3*o. What is the lowest common multiple of 10 and 32/(-144) - (o/(-18))/(-4)?
240
Suppose 0 = 2*j - 2*r - 2*r - 24, 0 = -5*j + 5*r + 50. What is the common denominator of ((-1)/3)/(j + (-1844)/230) and -101/4?
12
Let k = 1207477/9413132 - 96/11153. What is the common denominator of -64/1899 and k?
7596
Let u = 610 - 1106. Calculate the common denominator of -32/11 and -90*2*2/u.
682
Let g be ((14/(-4))/(-1))/((-2)/4). Let o be (g/4)/((-17)/(-136)). Let x = 47 + o. What is the smallest common multiple of x and 21?
231
Let a = 821 + -705. Let b(t) = -t**2 - t. Let w be b(-4). What is the common denominator of 17/30 and a/144 + (-3)/w?
90
Let b(c) = 5*c**2 + c + 10. What is the smallest common multiple of 186 and b(-18)?
4836
Find the common denominator of (-36)/(-1200)*4560/(-288) and (-1)/48*(-121)/(-1).
240
Suppose 9*w - 182 = 106. Suppose 8*q - w = 7*q. What is the smallest common multiple of q and 16?
32
Let k be (-117)/78*(-8)/6. Suppose k*z + 17*w - 188 = 16*w, 2*z = -3*w + 180. Calculate the smallest common multiple of 12 and z.
96
Let s = 163 - 269. Let f = -5 + s. Let z = -99 - f. What is the least common multiple of z and 12?
12
What is the common denominator of -3 + (-10)/20*3/(36/(-87)) and 91/8?
8
Let o be 78/(-182) - 9033/(-7). Let m = -7763/6 + o. Find the common denominator of 101/278 and m.
834
Let c = 11313/5420 - -17/271. Let s(l) = 2*l**3 - 11*l**2 + 11*l + 14. Let z be s(13). Let x = 16295/6 - z. Calculate the common denominator of x and c.
60
Let f(w) = 15*w + 103 - 103. What is the least common multiple of 50 and f(2)?
150
Suppose 2313 + 2661 = -2*n. Let h = -602 - n. What is the common denominator of -77/4 and h/630 - 5/(45/(-2))?
28
Let q = -3874 - -4021. What is the smallest common multiple of 588 and q?
588
Let o be (0 + 3 - 1) + (-12)/4. Let k(n) = -108 + 110 - 7*n + 2*n. Calculate the smallest common multiple of 2 and k(o).
14
Suppose -2453 = 11*x - 0*x. Let d = x + 451. Let i = d + -2179/10. What is the common denominator of -67/4 and i?
20
Let y = -347 - -662. Let z = y + -234. What is the least common multiple of 6 and z?
162
What is the common denominator of ((-147)/644*17)/((135/10)/3) and -31/69?
138
Let u = 137 - 53. What is the common denominator of 632/u*(-18)/24 and -79/24?
168
Let i = -18828309/470 + 40060. Find the common denominator of i and -29/60.
2820
Suppose 5*h - 4*i + 365 = 0, 3*h - 4*i + 217 = 6. Calculate the smallest common multiple of -18*5/(70/h) and 9.
99
Suppose -6*i + 8720 = -3*i - 5*t, 3*t + 11612 = 4*i. Calculate the lowest common multiple of 8 and i.
5800
Suppose 25*t + 20 = 21*t. Calculate the least common multiple of 48 and t + (-5)/(-1) - -36.
144
Let d = 1624 - 1647. Calculate the common denominator of 51/763 and d.
763
Suppose 9*y - 36 = -504. Let v = y - -55. Calculate the smallest common multiple of 0 - 1 - -11 - 1 and v.
9
Let f = -29902054377/1270 + 23544929. Let h = f - -4/635. What is the common denominator of -23/24 and h?
120
Let q(o) = 2*o**3 + 3*o**2 + o. Let s be q(-3). Suppose -4*a + 2*a - 88 = 0. Let t = s - a. What is the smallest common multiple of 18 and t?
126
Suppose s - b = -6*b - 6, s + 4*b + 4 = 0. Suppose 0*m - 100 = -s*m. What is the smallest common multiple of 22 and (-9 + 1)/(m/(-10) - -2)?
176
Let l = 9541/12 + -798. Find the common denominator of (5764/528 - 11)/(93/(-50) - -2) and l.
84
Let d(k) = k**3 - k**2 + k + 202. Let y be d(0). Calculate the common denominator of (-2)/(-2 + 372/y) and (-3434)/(-228) + -31*(-46)/13547.
24
Suppose -4*y = -2*d + 380, 3*d + 5*y = 352 + 229. Let o = 2 - 8. Find the common denominator of -85/4 and (-2)/o - (-302)/d.
32
Suppose 3*l = -18*l - 6*l + 297. Calculate the least common multiple of 44 and l.
44
Calculate the smallest common multiple of (80/6)/(-22 - 536/(-24)) and 1360.
1360
Suppose 2*q + 416 = 40*q - 4714. Calculate the smallest common multiple of 243 and q.
1215
Let y = 169/18 + -8249/846. Calculate the common denominator of -16/287 and y.
13489
Let z be ((-21)/12)/((3 + -5)/96). Let v = z + -30. Calculate the common denominator of ((-801)/(-12))/(v/12) and 34/11.
66
Let u = -306045689/12276 + 274233/11. Calculate the common denominator of -10/5301 and u.
21204
Suppose 4*i - 5*h - 234 = 0, 2*i = 6*i + 2*h - 220. Suppose 1648*p - 1425 = 1606*p + 1599. Calculate the least common multiple of p and i.
504
Let k(v) = 78*v**3 - 3 - 14*v**2 + 25*v - 77*v**3 - 4. Calculate the smallest common multiple of k(12) and 22.
110
Let p = 932344977/20 + -46605010. Suppose 50119 = -3*q + 13417. Let x = p + q. What is the common denominator of x and -47/32?
160
Let x = -13845815/168 + 82415. Find the common denominator of (89/(-12) - -1)/(650/(-130)) and x.
840
Let w = 45 - 38. Suppose -2*u = -2*s + 2*u + 4, 3*s - 5*u = w. Suppose -5*l = -s*k - 105, -2*k = k - 5*l + 80. What is the common denominator of k and -17/8?
8
Let z = 9961 + -498147/50. What is the common denominator of z and -35/194?
4850
Let u(v) = -5*v - 8. Let i(x) = -3*x - 5. Let t be ((-2)/(-5))/(3/60). Let n(g) = t*i(g) - 5*u(g). Calculate the smallest common multiple of 24 and n(2).
24
Let v = 1308 + -34. What is the smallest common multiple of 5 and v?
6370
Let c = 612 + -426. Let j(p) = -p**3 + 10*p**2 + 2*p - 8. Calculate the least common multiple of c and j(10).
372
Suppose -518 = -11*o - 0*o + 10*o. What is the smallest common multiple of 814 and o?
5698
Suppose 16*d = 13*d - 9*s, 3*d - 7 = -2*s. Calculate the smallest common multiple of d and 399.
399
Let g(f) = f**3 + 11*f**2 - 8*f + 40. Let u be g(-12). Calculate the common denominator of -1/30 and ((-2)/(-25))/(2*u/284).
150
Let h = 15 - 0. Calculate the lowest common multiple of h and ((31 - 17) + -17)*56/(-24).
105
Let y = 2299309/52374 + -3830/87. Find the common denominator of -67/532 and y.
22876
Let v(t) = -9. Let b(l) = 13*l + 91. Let s(c) = -b(c) - 4*v(c). Calculate the smallest common multiple of s(-5) and 50.
50
Calculat