
Suppose -89 + 77 = 6*k. Calculate the common denominator of (1304/(-140))/(-2) - k/10 and 149/12.
84
Let j be (-3 + 1)*(3 - (-35)/(-14)). Let q be 37 - 15/(3/j). Calculate the common denominator of (2*14)/4*q/(-558) and -11/6.
186
Let f be (-310)/(-3)*84/(-35). Let v = f - -281. Calculate the least common multiple of v and 198.
198
Let w = 277 + -282. Suppose 2*l + 93 = n, 0*l = -3*l + 5*n - 150. Let c = w - l. What is the smallest common multiple of 6 and c?
120
Let n = -575/336 - -17/48. Calculate the common denominator of -71/1316 and n.
1316
Suppose -2*q - q + j = -23, -4*q - 5*j = 1. Let r(b) = 3*b**2 - 12*b - 11. Calculate the lowest common multiple of 45 and r(q).
225
Suppose -2*f = -5*o + 134 - 1010, 0 = -o + f - 177. Let s = o - -202. What is the least common multiple of s and 20?
140
What is the common denominator of (7227/(-77) + 2/(-14))*1/194 and 35/11?
1067
Suppose 0 = 3*t - 0*t. Let d be 120/(-420) + 296/7. Suppose -v = -t*v - 5, -2*a = 4*v - d. Calculate the least common multiple of 5 and a.
55
Suppose 51 = -x - 0. Let p = -49 - x. Calculate the common denominator of 5/7 and (-119)/(-35) - (p - -1).
35
Suppose 11*d = 6*d - 5. What is the common denominator of 131/6 and (20/(-16) - d) + 43/(-8)?
24
Let q be (-5)/(5/(-6)) + 0/6. Suppose 7 = q*o - 257. What is the common denominator of 20/9 and o/(-126)*-6 + -1?
63
Suppose -w + 2*z = 1, -3*w + 3*z = 4 - 13. Let b(p) = -2*p**3 - 847*p**2 + 1 + 845*p**2 + w*p + 8. Calculate the least common multiple of b(-3) and 9.
72
Let n = 400826 + -14028849/35. Calculate the common denominator of n and 1 - (1 + (-166)/84).
210
Let f = -398 - -1875. Let h = -646 + f. What is the common denominator of h/135 + 2/5 and 95/6?
18
Let h(a) = 11*a**2 - 1548*a + 525. Calculate the least common multiple of 44 and h(141).
10428
Let q = -88 - -137. Suppose -q = -f - 33. What is the common denominator of 64/33 and f?
33
Let z = 102 + -104. Let s be 10/(-25) + z - (-6)/15. What is the least common multiple of (-5)/((-1)/((6 - 3) + s)) and 6?
30
Let c(v) = -v**2 + 6*v + 18. Let t be c(8). Suppose -t*n - 72 = -18. What is the lowest common multiple of n/(-15) + (-3)/(-15) and 34?
34
Let o be (-46)/((-105)/(-108) - (-18)/(-24)). Let v = o + 213. Calculate the lowest common multiple of 2 - 31*(-2 + 1) and v.
66
Let q = -49067/6475 + 6/925. Let t = -12261 - -294349/24. Calculate the common denominator of t and q.
168
Let z = -1/2809 - 19422/676969. Let i = 2923 - 5905/2. What is the common denominator of z and i?
482
Let c = -5522539/14220 - -6991/18. Calculate the common denominator of -29/180 and c.
14220
Calculate the common denominator of -89/374 and (-35)/204*((-429)/(-45) + (100 - 110)).
6732
Let s = -79 - -103. Suppose -7*q + s = 3. Suppose 5*g - 45 = -5*h, -19 = -q*g + 2*h + 8. Calculate the least common multiple of 8 and g.
72
Let h be (3/(-2))/((-15)/80). What is the common denominator of ((-2)/h)/((-40)/(-24)) and 0 + ((-10787)/42)/(-23)?
60
Suppose 15 = 5*w, -4*i - 4*w = -i + 231. Let p = i + 56. Find the common denominator of 19/9 and (20/18)/(p/(-150)).
9
Let f(y) = 2*y**2 - 42*y + 188. What is the smallest common multiple of f(18) and 50?
400
Let x be 0 + 2 - (3*-22)/3. Suppose -6*t - 576 = -x*t. Calculate the least common multiple of 176 and t.
352
Let n = -734919/100 - -7348. Let y = 668657/60 + -11142. Calculate the common denominator of n and y.
300
Let d = 1/19598 - -33984/6124375. What is the common denominator of 13/1250 and d?
1250
Suppose -841 = -7*k + 811. What is the common denominator of 1 - (-93)/12 - -2 and (-2 - k/22)*123/(-328)?
44
Suppose 3*j - 6 = 3*s, -j - 2*s + 14 = -30. Calculate the lowest common multiple of j and ((-161)/4)/(1/(-8)).
2576
Let h = -7673100 + 199419483/26. Let i = -6361/2 - h. Let y = i + 19289/312. Find the common denominator of -31/36 and y.
72
Let b = -111501/730394 + -3/7453. What is the common denominator of b and (1 - 1) + 297/(-42)?
98
Let p = 1493/63 + -162/7. Let l be 208/(-312) - (-20168)/(-6). Let c = l + 97484/29. Find the common denominator of p and c.
261
Let b(d) = -27*d**3 + d + 1. Let a = 1 - -7. Calculate the lowest common multiple of a*2 - 8/(-4) and b(-1).
54
Calculate the smallest common multiple of 5 + -6 - 26/(-2) and 6 - (2 + -1)*(-83 + (27 - 13)).
300
Let j(f) = -f**2 + 5*f + 8. Calculate the lowest common multiple of 15555/(-1281)*(-56)/20 and j(6).
34
Let t = 9879 + -9771. Calculate the least common multiple of 2268 and t.
2268
Let d = 76 - 61. Suppose 0 = d*r - 8*r - 504. What is the least common multiple of r and 27?
216
Let z be -1 + -9 + (-1 - -2). Let k(p) = -2*p**2 - 30*p - 91. Let d be k(-11). Calculate the lowest common multiple of 9 and 330/18 - d/z.
18
Suppose -87*t + 34062 = 101*t - 79866. What is the least common multiple of 8 and t?
2424
Let s = 641/40 + -209/8. Let r be (-4)/12 + (66/9 - 2). Suppose 145 = -5*j + 4*g, -r*j - 4*g = -g + 145. Find the common denominator of s and j.
10
Let a(w) = 2*w**2 + 2*w - 2. Let l = 27788 + -166325/6. Let x = l + -76. Calculate the common denominator of a(-5) and x.
6
Let b = 3/7393 - 229207/59144. Calculate the common denominator of b and -123/50.
200
Let x = -5229/8003 + -21/151. Let i = -10092 - -90800/9. Find the common denominator of x and i.
477
Let p = 332947939/880 - 378350. Find the common denominator of -23/36 and p.
7920
Let k = -23514 + 1598919/68. What is the common denominator of k and -25/22?
748
Let g = 1186206873/1496 - 792919. Find the common denominator of 12/55 and g.
7480
Let o = -20451/5 - -39449981/9645. Let g = o + -23367/22505. Find the common denominator of g and -17/70.
210
Let w = 3759/1328 + 206/83. Suppose -572 = 18*x - 5*x. Find the common denominator of w and (4 - 3)*2 - (-2)/x.
176
What is the common denominator of -4 + -13 + 19 + (-381)/(-90) and -157/1590?
1590
Let l(p) = -p**2 + 55*p + 2654. What is the lowest common multiple of 15 and l(-30)?
1560
Let x = 17781735 - 480017357/27. Let w = -3315 + x. Calculate the common denominator of 119/24 and w.
216
Let m = 48329 - 46009. Calculate the smallest common multiple of 3248 and m.
16240
What is the common denominator of 48/(-56) - ((-14203)/1470 - -8) and -115/924?
4620
Suppose -1918*k + 1940*k = 110. Suppose -a - a + 2 = 0. What is the least common multiple of a and k?
5
Suppose -3*l + 2*k = l + 640, 0 = 5*l - 5*k + 805. Calculate the common denominator of (-34)/459*l/4 and (1010/(-250))/(4/(-10)).
90
Calculate the least common multiple of 15/(-4)*(3216128/(-96))/17 and 8129.
81290
Let l = 10081 - 1552455/154. What is the common denominator of l and (78/(-15) + 0)/((-175)/250)?
154
Let v(s) = -9342*s + 2. Let w be v(-2). Let t = w + -672589/36. Let m = -2601 + 31081/12. Find the common denominator of t and m.
36
Let f = 1264 - 1257. Suppose p - 37*g - 27 = -36*g, -p - 3*g + f = 0. Suppose 4*s - 6*s = -92. Calculate the smallest common multiple of p and s.
506
Suppose -35*z - 3 = -36*z. Suppose 0 = -d - 1 + 4. What is the least common multiple of z and (-2 - 3/d)*-3?
9
Suppose 0 = -289*x + 291*x - 5004. What is the smallest common multiple of 4 and x?
5004
Let h = 68 + -110. What is the common denominator of -59/24 and 133/h*(-27)/30?
120
Let q = -17567551/42 + 418276. Find the common denominator of 1/(-3) - (-326)/168 and q.
84
Suppose -121*v + 124*v = 24. Let y(s) be the first derivative of -s**4/2 + 2*s**3/3 - s + 2. What is the lowest common multiple of v and y(-1)?
24
Let r = -8/5037 - 255847/654810. Find the common denominator of r and -129/260.
260
Let w(v) = 210*v**2 + 16*v + 13. Let j be w(-6). Let c = 829954/111 - j. What is the common denominator of -85/4 and c?
444
Let q(l) = 6*l**2 + 1. Let v be q(-1). Find the common denominator of (-1786)/329*v/55 and -107/60.
660
Let q(b) = 17*b - 168. Let p be q(10). Suppose -42 = -5*l + p*u, -l + 2*u - 3*u = -14. Let h(w) = -w + 8. What is the least common multiple of l and h(6)?
10
Let i(k) = -22*k - 1798. Let m(f) = 12*f + 6. Calculate the lowest common multiple of m(6) and i(-82).
78
Let v = -44 - -46. Suppose v*x - 4*c = -x + 246, 3*x + 5*c = 219. Calculate the lowest common multiple of 21 and x.
546
Let j = 89 - 84. Suppose 5*f + 3*m = 253, -4*m - 63 = 4*f - 259. Calculate the least common multiple of j and f.
265
Let n = 37 - 165. What is th