 and -1 + (40/(-27))/(-2).
108
Calculate the common denominator of 83/(-5) + -10 + 7 + 11 and -75/644.
3220
Suppose 204*g + 1769 = 6257. Let u(s) = -s**3 + 11*s**2 - 8*s + 2. Suppose 3*b = 8*b - 50. What is the lowest common multiple of u(b) and g?
22
Find the common denominator of (-2)/56*4608/(-320) and ((-1498)/(-280))/(1/(-2)).
70
Suppose -f + 5*f - 248 = -4*h, f - 122 = -2*h. Let p = -27 + h. What is the lowest common multiple of 18/2*(-14)/(-6) and p?
231
Let n(d) = -d**3 - 5*d**2 - 10*d + 6. Suppose -4*c = r - 18, -r + 2*c + 45 = -3*c. Calculate the least common multiple of r and n(-4).
30
Suppose 3*p - 4*s = -2*s - 11, p = -5*s + 19. Let g be 111 - 14 - (0 - (0 + p)). Suppose 2*l = 5*l - g. Calculate the smallest common multiple of 28 and l.
224
Let w = -8 - -11. Calculate the smallest common multiple of 17 and (13 - (w - 0)/(-3)) + -3.
187
Let s = -7 + 11. Let q = -159 + 177. Suppose -18*g - q = -19*g. Calculate the smallest common multiple of s and g.
36
Let a be (-10 - -11 - -1*1) + -1169. Let z = a - 13. What is the common denominator of -59/5 and z/(-112) - (-2)/(-7)?
20
Let u(w) = 26*w**3 - 3*w**2 - 2*w + 4. Let q be u(3). Let n = q - 18835/28. Calculate the common denominator of n and (889/(-35))/((-7)/(70/(-12))).
84
Suppose 2897 = 15*r - 2128. Let h = r - 326. Calculate the smallest common multiple of 17 and h.
153
Suppose 123*i = 130*i - 14. Let c(x) = 5*x + 1. Let q = -13 - -14. Calculate the lowest common multiple of i and c(q).
6
Let g = 1335 + -1329. What is the least common multiple of g and 36?
36
Let t = 2049 + -22497/11. Let x be 26*1/10 - 6/(-15). Suppose 8*n = g + 4*n + 6, 0 = g - x*n + 2. Calculate the common denominator of g and t.
11
Let p = -12549562752 - -333994063140687/26614. Let l = p - 2/1901. Find the common denominator of 77/10 and l.
70
Let n be -1 + 1 + 0 + 105. Suppose 0 = 4*s, s = -5*l + n - 15. Calculate the least common multiple of (-144)/(-54)*(-12)/(-2) and l.
144
What is the smallest common multiple of 1360 and ((-12)/(-22) + 26216/(-1276))/((-2)/4)?
1360
Let m = -34369764727/2847908 + 2330009/193. Let q = -28/527 + m. Let v = -3921/4 + 972. Find the common denominator of q and v.
28
Suppose 0 = -r + 5*a + 3 + 31, 4*r - 21 = -3*a. Find the common denominator of (351/(-45))/(18/(-105)) and 1 + (1 - 183/r).
6
What is the common denominator of ((-292)/12)/((-22)/(7 + 4)) and 2/(-4) + 18/30*-6?
30
Let y(z) = z**3 - 32*z**2 + 47*z - 416. Calculate the least common multiple of 2512 and y(31).
12560
Suppose -5*i + 2*i + 399 = 0. Let v be (-1)/(40/(-144))*10. Suppose -v = -2*x - 32. What is the smallest common multiple of i and x?
266
Calculate the least common multiple of 102*((-460)/(-45))/1 - (-28)/21 and 4.
1044
Suppose 2*x + 4*s - 612 = 7*s, 0 = -4*s - 16. What is the lowest common multiple of x and 1 - (-9)/6 - (-1575)/42?
600
Let p(w) = 3*w + 91. Suppose 26 = -3*l - 49. What is the smallest common multiple of 132 and p(l)?
528
Let g = 45 + 26. Suppose 3*i + 93 = 5*n, 4*i + g + 23 = 5*n. Suppose q - 3*b - 3 = 0, 5*q - 100 + 28 = -4*b. What is the lowest common multiple of n and q?
36
Suppose -31 - 39 = -14*p. Suppose 3*i + 3*z - 4 - p = 0, -3*z + 7 = 5*i. What is the lowest common multiple of 595/55 + -4*i/22 and 16?
176
Let q be ((-4)/(-12))/(2/(-6)). Let j be (-1 - (0 - -1)/q)/1. Suppose j = 4*c + 2*o - 80, c + 14 = 2*c + 2*o. Calculate the smallest common multiple of c and 6.
66
Let t(j) = 17*j**3 - j**2 - 16*j + 56. What is the least common multiple of 218 and t(0)?
6104
Let t = 385863/977906 + -3/7138. Let i = 14983/822 - t. Let l = 3535/3 + -56323/48. Find the common denominator of l and i.
48
Let x = 200392399/55336 - 28971/8. Let p = x - 262821/172925. What is the common denominator of p and ((-3)/(-2))/(33/6)?
275
Suppose 140*r + 221 = 1327 + 294. Suppose -4*g + 29 = 5*d + 6, 4*d - 2*g - 34 = 0. Suppose -2*o + d*o = 15. What is the lowest common multiple of o and r?
30
Let x(g) = g**2 + 31*g - 53. Let o be x(-32). Let s = -6 - o. Calculate the smallest common multiple of 18 and s.
90
Let z = 368697 - 211632173/574. Calculate the common denominator of -19/28 and z.
1148
What is the least common multiple of 112 and ((-30)/2)/((43/126)/(-43))?
15120
Suppose -3*b + 2*q + 86 = 0, -b - q + 5*q + 22 = 0. What is the common denominator of (-16)/b*275/30 and -125/48?
144
Let g = 880 - 2530. Find the common denominator of 9/40 and ((-460)/g)/(2/(-9)).
440
Calculate the common denominator of -79/202 and ((-284)/40 + 13)/20 - 2/16.
10100
Let q(x) = x**2 + 11*x + 19. Let f be -4 - ((-5 - 0) + 10). Calculate the lowest common multiple of q(f) and 22.
22
Let a = 0 - -4. Suppose 110*x - 822 = 828. Calculate the least common multiple of x and a.
60
Calculate the common denominator of 17/47 and (-1086)/(-32) + (-604)/(-9664).
47
Let w be 62/22 + 6/33. Let o = -2117/6 - -355. What is the common denominator of o and 10/1110*w/((-6)/(-47))?
222
Let m be (-2)/(-3)*1/(6/45). Suppose 8 + 4 = -3*o, m*k - 1416 = -o. What is the common denominator of 95/4 and (k/(-80) + 4)*6?
20
Let v(t) = -t + 7*t + 2008*t**3 + 16*t**2 + 52 - 2007*t**3 + 9*t. Calculate the least common multiple of v(-15) and 24.
312
Let d = -5419 + 7297. Calculate the lowest common multiple of 4 and d.
3756
Suppose 40 = 5*d - 5*m, -2*d - 4 + 40 = 3*m. Let x be 4/2*(10/4)/(-1). What is the common denominator of 103/20 and (272/x)/4*d/(-128)?
40
Let j = 2/1569665 - -36102187/84761910. Find the common denominator of (2/21*-26)/(-3) and j.
378
Let j(q) be the first derivative of -q**2 - 20*q - 18. Let c = -39 - -47. Calculate the lowest common multiple of j(-18) and c.
16
Suppose -103*m = -107*m + 28. Calculate the common denominator of 1204/(-160) - (m/(-5) + 1) and -81/212.
424
Let k = -121 + 217. What is the common denominator of 1 + -1 + 183/(-18) and -21*14/k + 4?
48
Let x(y) = 974*y**2 - 76*y - 136. What is the smallest common multiple of x(-2) and 4890?
19560
Calculate the lowest common multiple of (-13 - -310)/9 - 1 and 604.
4832
Calculate the common denominator of 23/((-3105)/(-222)) + 9/(-15) and -151/6.
90
Suppose 3*p + 5*x - 6 = 0, 3*p - 6 = -0*x - 3*x. Calculate the lowest common multiple of 30 and ((-2)/(p/3))/((-3)/60).
60
Let t = -207 - -105. Let s = -86 - t. Calculate the least common multiple of s and 4.
16
Let a = -52 - -74. Calculate the lowest common multiple of -11 - -4 - -19 - (-32)/(-8) and a.
88
Let v = -97/144 + -95/36. Find the common denominator of v and 17/4704.
4704
Let m(y) = -3*y**3 + 2*y**2 + 9*y + 12. Let u be m(-3). Let j = -74 + u. What is the smallest common multiple of j and 27?
270
Let w = 10/41 + 3549/410. Suppose 5*p = -3*n + p - 112, -p - 39 = n. Find the common denominator of w and (-3)/12*312/n.
110
Suppose 2*n + 14 = 4*n - 2*z, -4*z = -3*n + 24. Suppose -5*r + 1350 = n*j - j, -j + 1073 = 4*r. What is the least common multiple of 24 and r?
2136
Let d = 251273/24 - 10472. What is the common denominator of 17/48 and d?
48
Find the common denominator of -3 + 588/288*6 and -1/4203.
16812
Suppose -162*m - 232 = -164*m - y, -3*y - 494 = -4*m. What is the smallest common multiple of m and 161?
2737
Let n = 63917/99 + -30594673/7920. Let q = n - -3217. Find the common denominator of -33 and q.
80
Let p = -1379 - -1479. What is the lowest common multiple of 160 and p?
800
Let t = -2471963136514/189 + 13079091408. Let m = t + 78626. What is the common denominator of 1/63 and m?
189
Suppose s + 4*x - 30 = x, -2*s + 3*x = -69. Let g be (-58)/87 - (-2 + (-512)/(-6)). Let v = -66 - g. Calculate the smallest common multiple of v and s.
198
Let l be (-7928341)/306 - (2 - 3). Let z = -14846 + -11071. Let v = z - l. What is the common denominator of -79/20 and v?
180
Let c = -562 + 805. Calculate the smallest common multiple of c and 459.
4131
Let g = -13 - -33. Find the common denominator of (4/g)/(12/(-134)) and (-7)/(221/26 + -5) - 8/27.
270
Suppose -a = 157 + 145. Suppose 26 = -g - t, 0 = -2*g + t - 25 - 39. What is the smallest common multiple of (6/g)/1 + a/(-10) and 9?
90
Let k = -4557 - -4594. What is the least common multiple of 2/(-4 + 152/36) and k?
333
Calculate the common denominator of 1170/(-260)*(-50)/24 and 57/1670.
6680
Find the common denominator of -103/20 and (-42)/28 - 140/(-272).
340
Find the common