175
Find the common denominator of 1*(0 - 41/13) and ((-41)/(2050/570))/((-45)/100).
39
Let c(m) = m**3 + 8*m**2 + 14*m + 26. Let f(d) = -d**2 + 2*d + 42. Let p be f(-6). Calculate the lowest common multiple of 100 and c(p).
700
Let u = -98497609/1079 - -91286. Calculate the common denominator of u and 113/498.
6474
Let n = -266/59 - 403/1180. Find the common denominator of n and 25/1342.
13420
Let v(z) = 5*z**3 - 3*z**2 + 4*z - 2. Let x be v(2). Let a = x - 24. Let m(o) = -o**2 + 4*o + 89. What is the smallest common multiple of a and m(11)?
60
Let t = -24882232/363 + 68546. What is the common denominator of -26/111 and t?
13431
Suppose -3*j + 60 = 34*g - 33*g, g = -4*j + 60. Suppose 0 = -22*w + 19*w + 180. Calculate the least common multiple of g and w.
60
Let b = -68 - -26. Suppose 7 - 13 = -3*o. What is the smallest common multiple of -1 + (-60)/b - 60/(-7) and o?
18
Let g(b) = b**2 - 552*b + 3850. Calculate the least common multiple of g(7) and 4284.
21420
Let p = -9469 - -14832. Let j = 3358926071/628326 - -2/314163. Let g = j - p. Calculate the common denominator of 14/3 and g.
6
Let w = -12795 + 17487. Calculate the least common multiple of 253 and w.
51612
Suppose 0 = 5*u - 3*q + 14, -u - 6 - 2 = 2*q. Find the common denominator of 25/u - (-95)/38 - -1 and 53/4.
4
What is the common denominator of ((-34)/(-11900))/((-12)/6470) - -2 and 17/360?
2520
Let a = 6036 - 5380. Calculate the smallest common multiple of a and 1148.
4592
Suppose 41*y - 76 = u + 42*y, 3*u = -y - 234. Find the common denominator of (-9)/630*(u - 3) and -57/50.
350
Let f be (2 - 32)/((-42)/56). Suppose 17*i = -2*k + 16*i + f, 2*i = -2*k + 44. Calculate the least common multiple of k and 3.
18
Let g = 46 + -99. Let l = -25 - g. Calculate the least common multiple of l and (870/180 + -4 + -2)*-12.
28
Calculate the smallest common multiple of (2/6)/(87/(-174))*2142/(-4) and 10.
3570
Let g(h) = 32*h + 171. Let n(j) = -15*j - 85. Let z(t) = -4*g(t) - 9*n(t). Calculate the smallest common multiple of z(-10) and 1.
11
Suppose 2*p = 4*i, -2*p + i - 5 = -2*i. Let m(k) = -k**3 - 9*k**2 + 11*k + 19. Calculate the least common multiple of m(p) and 38.
342
Suppose 2*k - 265*t = -263*t + 20, -30 = -5*t. Suppose -s - 3*s + 48 = 0. Let r = s - -6. Calculate the smallest common multiple of k and r.
144
Suppose -179*d + 21963 + 54650 = -47434. What is the lowest common multiple of d and 81?
6237
Suppose s + i - 2 = 0, -521*i = -4*s - 522*i + 5. What is the least common multiple of 3238 and s?
3238
Let y = 1077478 + -3135461011/2910. Calculate the common denominator of y and -16/9.
8730
Let w be (138/(-180))/(2/1269) - 4. Let o = 491 + w. Find the common denominator of o and 2/8 + 255/(-24).
40
Suppose -27*i + 22*i = k - 42, k - 3*i - 2 = 0. Suppose 0 = -3*o + 3*p - p + 344, o - 4*p = 118. Calculate the least common multiple of o and k + 6 + -5 + 4.
1254
Let z = -1 - 11. Let u(w) = -w - 6. What is the lowest common multiple of u(-11) and (3/z)/(459/(-228) + 2)?
95
Let m = 4119/4 - 12235/12. Calculate the common denominator of m and -55/16842.
16842
Suppose -3*n + 6*n - 6135 = 0. What is the common denominator of n/200 - 5/50 and 25/86?
344
Suppose 4*s - 208 - 1092 = -2*l, s - 304 = -4*l. Calculate the least common multiple of s and 856.
35096
Let z be 26787/4760 - (91/14 - 7). Let d = z + -3/1190. What is the common denominator of d and 2/5 - (-13 + 2)?
40
Let y = 0 + 1. Suppose 308*u - 211 = 9*u + 3975. Calculate the lowest common multiple of 6/(y*2/4) and u.
84
Let u = 1532 + -16886/11. Let i be -2*(-2)/(-132)*(-1329 - 42). Let z = -411/11 + i. Calculate the common denominator of u and z.
11
Suppose 176 = -3*h + 188. Let y(l) = 9 + l**2 - 2*l**2 + 1 + 4*l. What is the least common multiple of y(h) and 70?
70
Suppose -1700 = -36*x + 6220. What is the smallest common multiple of x and 44?
220
Let k = 2963 + -65141/22. Calculate the common denominator of k and 99/2386.
26246
Let v(l) = 12*l + 112. Let n = 586 + -595. Calculate the smallest common multiple of 33 and v(n).
132
Let r = -118/29 + 3641/232. Find the common denominator of r and 6/(-16)*5660/(-4935) + (-19)/133.
376
Let h = 14 + -11. Suppose 162 = 4*k - 126. Suppose -4*n + 9*n + h*l - 88 = 0, 3*n = 3*l + k. Calculate the smallest common multiple of 2 and n.
20
Let a(d) = -35*d**2 - 34*d - 2 + 7 - d**3 + 7. Calculate the lowest common multiple of a(-34) and 9.
36
Let y(k) = k**3 - 3*k**2 + 6. Let z be y(3). What is the common denominator of (-2)/4 - (z + 117/(-16)) and 57/5?
80
Let u = 236 - 233. Suppose 96 = 4*i + 2*q, 0 = -5*i + 4*q - u*q + 120. Calculate the smallest common multiple of 64 and i.
192
Suppose 0 = -v + 2*m - 4755, v + 2*m = 1501 - 6252. Let t = 8375/3 + -226457/30. Let b = t - v. Find the common denominator of 143/6 and b.
30
Let j(o) = -o**3 + 13*o**2 + 15*o - 12. Let p be j(14). Suppose l - 29 = -14*x + 13*x, p*x - 3*l - 53 = 0. Calculate the lowest common multiple of 28 and x.
28
Let y be 2 + -10 - (2 - (-10)/(-2)). Let d(i) = -8*i - 30. What is the least common multiple of (-36)/(-15)*(-120)/(-18) and d(y)?
80
Let x(z) = -7*z + 7. Let v(u) = 1819*u + 1867. What is the lowest common multiple of x(-7) and v(-1)?
336
What is the common denominator of (37560/(-1976))/5 + 2 - -2 and 8/247?
247
Let s = 1/8024 - 485487/280840. Find the common denominator of 85/644 and s.
3220
Let w = -479/3 + 135. Calculate the common denominator of w and (-50)/36*((-2171)/130 - -17).
12
Suppose -98 = -2*h + 14. Let p = -138 + 195. Suppose 89 = 5*o - s, -28 = -5*o + 5*s + p. What is the lowest common multiple of o and h?
504
Let m(a) = -11*a - 30. Let u be m(-4). Suppose -u*v = 2*v - 352. What is the least common multiple of 11 and v?
22
Let s = -1629/497 - 4/497. Suppose -16 = -69*t + 77*t. What is the common denominator of s and -3*(-68)/(-108)*t?
63
Let k be (-6)/(-8)*(-1 - (-82268)/(-16)). Let a = k + 3859. Find the common denominator of a and -41/18.
144
Let i = 34/29 - 1035/116. What is the common denominator of -12*(-2)/13 + (-105)/210 and i?
52
Suppose -o = -2*y + 3*o + 116, 201 = 3*y + 3*o. Suppose 36 = m + 5*g, -12*m - 212 = -16*m - 3*g. Calculate the lowest common multiple of y and m.
448
Let g = 34235 - 3902765/114. What is the common denominator of (-2)/8 + -3 + 3 and g?
228
Let q = -3448 - -3460. Calculate the smallest common multiple of (32/(-20))/((-1)/30) and q.
48
Let n = 4 - -3. Let m = 86 + -88. Let v(j) = -2*j**3 + 5*j**2 + 13*j + 2. Calculate the least common multiple of n and v(m).
84
What is the common denominator of 59/3080 and (((-58950)/1512)/(-25))/((-140)/(-6))?
21560
Suppose 4*i = -i, -j + i - 99 = 0. Let t = j + 50. Find the common denominator of 91/16 and (26 + t)*2/(-4).
16
Let q = 3800 - 3352. What is the smallest common multiple of 176 and q?
4928
Let f = 6999679 + -194031101647/27720. What is the common denominator of 67/14 and f?
27720
Suppose r + 66 - 75 = 0. Let w = 4 + -7. What is the least common multiple of w/(-2 - (-13)/8) and r?
72
What is the smallest common multiple of (70/(-45) + 2)/(33/2376) and 408?
1632
Let l = -436 + 444. Calculate the lowest common multiple of l and 75.
600
Suppose -112*w - 30207 - 20249 = -180*w. Calculate the smallest common multiple of w and 954.
6678
Find the common denominator of ((-18)/4)/(39/11) and (1 - 0)/(100/(-3875)*20).
208
Suppose 0*t = -3*t + 21. Let j be (-1 + (-33)/(-12))/((-2)/16). Let u(y) = -y**2 - 18*y - 53. Calculate the smallest common multiple of t and u(j).
21
Let s = 37/667 - 35352/432883. Calculate the common denominator of s and -31/4.
2596
Let i = 8495 - 33909/4. What is the common denominator of i and 39/653?
2612
Suppose 4*j = -5*t + 24947 + 3100, 0 = j + 5*t - 6993. What is the lowest common multiple of 10 and j?
35090
Suppose -20*y + 6 = -17*y. Suppose s - s = y*s. Suppose 2*a - 2*f + s - 20 = 0, 4*a - 46 = f. Calculate the least common multiple of a and 20.
60
Let t = 265/2548 - -19/728. Find the common denominator of t and -46/539.
4312
Let z = -24 + 42. Let u = 437 + -357. Suppose -4*n = 2*v - u, -130 = 10*v - 14*v - 2*n. Calculate the smallest common multiple of v and z.
90
Let b be 28451/390 - 96/(-12). Let p = b + -1276/15. Find the common denominator of p and (19/18)/((-2)/(-3)).
156
Let u(v) = v**3 - 4*v**2 - 10*v + 