et t = 35 + -11. Suppose 4*d + 12 = -n, -3*n - d - 50 = 4*d. Calculate the lowest common multiple of t and (-1 + (2 - 2))*n.
120
Suppose 103 + 33 = -4*n. Let o = -66 - n. Calculate the lowest common multiple of (12/(-5))/(o/(-20) - 2) and 9.
18
Suppose 5*h - 5*i + 56 = 16, 0 = -3*h + 4*i - 20. Find the common denominator of (-75)/(-66) + -4 - h/(-8) and 2/11 - (-2540)/(-176).
44
Suppose -4*y = -4*u - 2092, -54*y + 52*y - 4*u = -1076. Calculate the lowest common multiple of 2 and y.
528
Let p be 12*((-136)/(-24) + -3). Suppose 6*q - q + p = r, 2*r - q = 28. What is the smallest common multiple of 39 and r?
156
Let w(n) = n**2 + 2*n + 1. Suppose 0 = -5*s - 15, -4*h + 2*s + 927 = -83. Let j = h + -234. Calculate the smallest common multiple of w(-3) and j.
68
Let y be 4/(-3) - (-6 - (-656)/30). Let f = y + 268/15. Calculate the common denominator of f and -31/104.
312
Suppose 6*x - 578 = -2*q + 7808, 0 = 5*q - 5*x - 20825. What is the lowest common multiple of q and 140?
20860
Calculate the least common multiple of 1596 and 1372/(-8)*(-56)/49.
11172
Let v = -62 - -58. Let z be (55 + v + 2)*-5*1. Let k = 3149/12 + z. Find the common denominator of k and 139/42.
84
Suppose u + 7*a - 12*a = -3, -2*a = 5*u - 66. Calculate the lowest common multiple of u and 492.
492
Let p(w) = 2*w**2 - 6*w - 3. Let j be p(5). Let f = 39 - j. Calculate the common denominator of -45/4 and (-4)/f + 7126/1078.
28
Let w = 136 + -10301/76. What is the common denominator of w and 18/247?
988
Let q be 6*(-2)/(-3) + 62. Let r = 66 - q. Suppose -98 = -d - 3*d - 2*m, 3*d + m - 71 = r. What is the least common multiple of d and 16?
176
Let z = -11223 + 22497/2. Let w be 2/4*(-20705)/(-66). Let l = 1840/11 - w. Find the common denominator of z and l.
12
Let b(n) = n**3 - 7*n**2 + 6*n - 6. Let w be b(5). Let j = -17 - w. Let o(f) = f**2 - 7*f - 4. What is the smallest common multiple of o(j) and 20?
140
Calculate the common denominator of -121/12 and 104/2184*(-1 - 22/18*-1).
756
Let n(h) = -6*h + 3. Let b = 388 + -388. Suppose b = -15*g + 24*g - 162. Calculate the least common multiple of n(-5) and g.
198
Let l(y) = 32*y - 55*y + 29*y + 210. What is the lowest common multiple of 28 and l(-33)?
84
Calculate the common denominator of (-1436)/(-72) + ((-4)/(-10))/(153/85) and -125/36.
36
Let l = 4/47789 + 3391571/17299618. Find the common denominator of 11/15 and l.
5430
Let f(g) = 2*g**2 + 14*g - 22. Let h be f(-8). What is the least common multiple of 21 and 257 - 1 - ((-24)/h - 0)?
252
Let l be (-90)/270*((-2 - -4) + 532). Let u = l - -205. Suppose h - 36 = -2*h. What is the lowest common multiple of u and h?
108
Let g = 5969 + -5960. Calculate the least common multiple of g and 12.
36
Suppose 45*c + 12 = 46*c - 4*y, 0 = 5*c + 2*y - 38. Let l be -1*1*(4 - 5). Calculate the common denominator of ((-2)/c)/(l*(-22)/196) and 107/14.
154
Let y = -36059 + 38264. What is the least common multiple of 21 and y?
2205
Let i(x) = 98*x**3 - 17*x + 17. Calculate the lowest common multiple of i(1) and 16.
784
Find the common denominator of -3 + (-5 + 27797/5478 - -3) and 45/1328.
3984
What is the lowest common multiple of 101 and (-103)/(-5) - ((-17)/(-20) - (-33)/(-132))?
2020
Calculate the common denominator of (-180)/18 + (-2037)/(-245) and 27/670.
4690
Let i(y) = 13*y**3 + y**2 + y - 1. Calculate the smallest common multiple of i(1) and ((3 - 59) + -16)*(-14)/8.
126
Suppose -7898*v + 7918*v - 34980 = 0. Calculate the smallest common multiple of 55 and v.
8745
Let l = 5584 + -2768. Let k be l/30 + (-2)/(-15). Suppose 14 = -5*z + k. What is the smallest common multiple of z and 6?
48
Let j = -2867 - -7231. Calculate the lowest common multiple of 3 and j.
13092
Calculate the common denominator of (((-132)/(-23210))/((-16)/170))/(-2 + -2) and -113/6.
10128
Suppose -2*a + 18 = -r, -38 = 2*a - 48. Calculate the common denominator of 4/33 and (-268)/88 + r + 11.
66
Suppose 6*o = 5*o + 2*u - 6, u = -5*o + 14. Suppose 12 = o*c + 8. What is the least common multiple of c and 10/(-4)*(-7 - (0 + 1))?
20
Let p = 231575/18 + -12860. Let i = 3426 + -4861. What is the common denominator of (-8)/36 + i/(-1638) and p?
234
Suppose 21*j - 31*j = -10240. Let g = j + -448. What is the smallest common multiple of 4 and g?
576
Let x = 4893 + -6130928/1253. Find the common denominator of 29/3 and x.
3759
Let b(i) = -i**3 - 21*i**2 - 23*i - 58. Let t be b(-20). Suppose -w - t*c + 23 = 2*c, c + 4 = 0. What is the least common multiple of w and 30?
390
Let x = 5789 - 5657. What is the lowest common multiple of x and 36?
396
Let w = -330 + 83484/253. Find the common denominator of 13/989 and w.
10879
Let k = -4253 + 4289. What is the lowest common multiple of 9 and k?
36
Let x = 2/100593 - 495563/2481294. Find the common denominator of 83/3552 and x.
10656
Let c(u) = u**2 - 7*u - 27. Let h(w) = -5*w - 28. Let t be h(-8). Calculate the smallest common multiple of 30 and c(t).
330
Let c(y) = y**3 - 20*y**2 - 339*y + 39. Calculate the lowest common multiple of c(32) and 255.
7395
Calculate the common denominator of 81/322 and 17/(-4)*-60*21/(-2898).
322
Calculate the smallest common multiple of (1631/(-3))/(102/(-612)) and 1.
3262
Let z = -4589/18 + 255. Calculate the common denominator of ((-8)/144)/(3/(-75)) and z.
18
What is the smallest common multiple of 0 + 1 + -4 + (12 - 5)/1 and 266?
532
Let f(b) = 2*b**2 - 5*b + 6. Let h be f(2). Let y be -5 + 9 - (-5 + h). Suppose -y*j + 27 = -2*j. Calculate the smallest common multiple of 18 and j.
18
What is the common denominator of 47/500 and (-12)/((-264)/155) - 8?
5500
Let i = -529207/16 - -37139. Let z = i + -4068. Let h = 36224 + -1593777/44. Find the common denominator of z and h.
176
Let n = 2068 - 35181/17. Let d be 3/4 + 1898112/2560. Let i = -1473/2 + d. Find the common denominator of n and i.
170
What is the common denominator of 47/236 and (20 - 11557/780) + -7?
3540
Calculate the smallest common multiple of 1804 and 267948/33 - 432/264.
16236
Let b(k) = 74*k**3 + 9*k**2 - 37*k + 22. What is the lowest common multiple of b(3) and 4975?
9950
Let c(w) = -77*w**3 - 15*w**2 - 34*w - 4. What is the lowest common multiple of c(-3) and 12?
12252
Suppose 265 - 6 = 4*f - 3*m, f = m + 65. Suppose -4*s + f = -24. What is the common denominator of 3/1 + (6 + -4)*s and 63/65?
65
Let c(h) = -19*h + 24. Let p be c(1). Suppose p*q - 13 = 57. Calculate the smallest common multiple of q and 42.
42
Calculate the common denominator of (-7 - 472/(-72) - (-106505)/32256) + -3 and -3/2816.
5632
What is the common denominator of (9/12)/((-333)/(-1058)) - (-49 - -51) and 137/6?
222
Suppose -5*w + 0*v + 252 = 4*v, -3*w + 4*v = -132. Suppose 389 = 36*k - 475. Calculate the smallest common multiple of w and k.
48
Let t = 29 - 32. Let m be -1 - (-2 + t) - -5. What is the common denominator of (1 + (-51)/60)*(-606)/m and -65/18?
90
Let n be (-3*3)/(87/290). Find the common denominator of -53/18 and 108/n*(-70)/(-8).
18
Let j be (-122)/(-65) - 4/2. Let s be (67087/(-9490))/((-58)/(-2)*-1). Let z = j + s. What is the common denominator of 97/8 and z?
232
Let g be (-225980)/100 - (-4)/5. Calculate the common denominator of 21/20 and 2 - ((-2)/12 - g/648).
360
Suppose -1 + 9 = b. Suppose j - 4 = -w, 5*w - 5 + 6 = 2*j. What is the lowest common multiple of ((-10)/b)/(2/(-8)) and j?
15
Find the common denominator of 61/456 and (-2)/(-14)*-4 - 429*18/(-6384).
456
Let d be (-2)/((4/(-25))/((-4)/(-10))). What is the smallest common multiple of (-1*(-4)/(-8))/(d/(-70)) and 161?
161
What is the common denominator of (-70)/(-56) + 334/(-552) and 145/138?
138
Suppose 9413 - 113 = 310*u. Suppose -l + 26 = 5*r, -r + 26 = 3*l + r. Calculate the smallest common multiple of l and u.
30
Let k(j) = 246*j**2 + 3*j - 16. Let a be k(-6). What is the common denominator of a/(-15246) + (-4)/(-22) and -64/27?
189
Let m be (2 + 26/8)/(14/(-168)). Let i = 79 + m. What is the least common multiple of i and 104?
208
Let u(n) = -n**3 - 14*n**2 + 16*n - 9. Let v be u(-15). Let t be (-2762)/v + (-4)/(-16). Let b = t + -377/3. Find the common denominator of b and -29/13.
39
Let c(o) = 1008*o - 12018. Calculate the least common multiple of c(12) and 24.
312
Let d = 889/590 - 64077/43955. Calculate the common denominator of