is the common denominator of ((2/a)/1)/((-12)/510) and -111/20?
20
Let j = 1 + 24. Suppose 22*f - 399 = j*f. Find the common denominator of 35/16 and 6/(-2) - -2*f/(-24).
48
Suppose 3*j + 1056 = -5*n, 3*j = -n - 325 + 109. Find the common denominator of 17/84 and (-21)/105 - 1257/n.
84
Let y be -3 - -1 - (2 - 0). Calculate the common denominator of 10/33 and 6/18 - (-218)/(-42) - y.
231
Let q = -954 + 13437/14. Calculate the common denominator of q and -53/692.
4844
Let i = -1995 + 63805/32. What is the common denominator of -127/240 and i?
480
Calculate the lowest common multiple of 1*(-128)/80*(-10)/4 and 36.
36
Let h(s) = -5*s - 2. Let j be h(12). Let l = j + 67. Suppose l*u - u = 28. What is the least common multiple of u and 9?
63
Suppose 0 = -2*a + 24 - 10. What is the common denominator of 19/30 and (-2)/a - (-1437)/(-42)?
30
Find the common denominator of (3/(-264))/(63434/2884 + -22) and (11 - 1)*14/(-192).
528
Let m(c) = -10*c - 288. Let i(g) = -g**3 + 22*g**2 - 25*g + 55. Let y be i(21). What is the lowest common multiple of m(y) and 347?
694
Suppose 11 = 3*c - 5*x - 7, 0 = 5*c - 3*x - 14. Suppose -4*d + 116 = 3*f, -4*f = -7*f + 12. Let r = -20 + d. Calculate the lowest common multiple of r and c.
6
Find the common denominator of 1/50*5405/759 and 19/165.
330
Let t(s) = s**3 - 7*s**2 + 48*s - 9. Let k be t(9). What is the common denominator of (10/3)/(4368/k) and 43/7?
56
Let b = -354/5 - -1939/30. Let w = 19603741/297 - 66006. Calculate the common denominator of w and b.
594
Let z = -190 - -194. Suppose -3*q - 104 = -5*w - 2*q, w - 2*q - 19 = 0. Calculate the lowest common multiple of w and z.
84
Let x = 2382 + -1287. Calculate the smallest common multiple of x and 40.
8760
Suppose 0 = -m + 10*m - 19*m - 20. Let a = 133 + -190. What is the lowest common multiple of 6/(-4) - m - a/6 and 15?
30
Suppose 3*o = -2*q + 2511, 2*o = 2*q - 563 - 1963. Suppose 36*n = 50*n - q. Calculate the lowest common multiple of 10 and n.
90
Let k = 91 + -43. Suppose 0 = -2*q - 5*z + 57, -18*q - 93 = -23*q + 4*z. What is the least common multiple of k and q?
336
Suppose 0 = 5*k - 10, -202*f - k = -201*f - 2422. What is the least common multiple of f and 20?
2420
Let z = -62 + 81. Suppose 18*u = z*u + 61. Let h = 109 + u. What is the lowest common multiple of h and 2?
48
Let w = -278 - -280. What is the common denominator of -107/56 and (-388)/432*w/(16/12)?
504
Suppose -26 = 4*p - 6, 0 = -3*k + p - 109. Let q = k + 64. Let s(y) = -y**3 - 4*y**2 + 2*y - 4. Calculate the least common multiple of q and s(-5).
286
Let i(k) = k + 2*k + 6 - k - 3. Calculate the smallest common multiple of i(4) and (160/14)/2 - (4 + 300/(-70)).
66
Let w = -3887/84 + 279/7. Let b = 40198 - 1849111/46. Calculate the common denominator of w and b.
276
Let r(m) = -1275*m**2 + m + 1. Let l be r(2). Let k = 3000629/9 - 338508. Let p = l - k. Find the common denominator of p and -4/15.
45
Suppose -4*j + 2*r = 8, -4*j - 8 = 3*r - 20. Suppose j = -100*y + 91*y + 513. What is the least common multiple of y and 24?
456
Let g(r) = r**3 + 8*r**2 - 46*r + 22. Let p be g(-12). Calculate the smallest common multiple of (-3)/(-15) - (356/(-20) - p) and 134.
1072
Let s(b) = 19*b - 2. Let q be 4/(-30) - 102/(-90). Let c be s(q). Suppose c - 3 = a. What is the lowest common multiple of a and 18?
126
Suppose -3*o + 86 = -x, -2*x = -o - 3*o + 112. Let t = o - 26. Suppose -t*n + n + 15 = 0, 3*b = 4*n + 79. Calculate the lowest common multiple of b and 10.
330
Suppose 6*i - 7*i + 5*t = -9, 4*t = -i. Let l be i - (2 - 0 - 96/(-44)). Let h = 49/33 - l. Calculate the common denominator of -103/12 and h.
12
Let r be (-9)/7 + (-4)/(-14) - 397. Let x = r + 758. Find the common denominator of (-5)/(x/(-518)) + 3/4 and 9/14.
126
Let a(q) = -13*q - 387. Let u be a(-30). Suppose -3*s + 16 = -5*h + u*h, -2*h + 14 = 2*s. What is the smallest common multiple of s and 22?
66
What is the common denominator of 33/726*(-16)/174 and -13/696?
7656
Suppose -y + 2*s - 738 = 0, -730 = -3*y + 4*y - 4*s. Let d = y + 2308/3. What is the common denominator of (-7540)/13923 + -3*(-1)/21 and d?
153
Let z = 2918 + -2900. Suppose -6*t + 4*t = -8. Suppose -t*l + 6*l - 42 = 0. What is the smallest common multiple of l and z?
126
Suppose 0 = t + 4*j + 9, -4*t - 4*j - 10 = 2. Let g be 8/(-28) + 724/(-14). What is the common denominator of 71/14 and (-153)/g - (t + 5)?
364
Let k(c) = 126 - 38 + 5*c - 23 - 24. Calculate the least common multiple of k(-7) and 10.
30
Suppose 13*r - 11*r = -4*c + 12, -5*c = 3*r - 16. What is the least common multiple of c and -9 - -64 - 10*1/(-2)?
60
Let n(s) = 2*s**2 - 100*s + 708. Suppose -t - 3*b + 19 = 0, 7*b = 2*b + 25. Calculate the smallest common multiple of t and n(8).
36
Let y = -62819/10 - -6278. Calculate the common denominator of y and -87/1240.
1240
Let q(g) = -g**3 - 14*g**2 - 24*g - 91. What is the least common multiple of 6 and q(-13)?
156
Let h = 17/86 + -154/2193. What is the common denominator of (-125*(-3)/(-24))/(75/(-100)) and h?
102
Suppose -4*t - 50 = 2*i, -i = 3*t + 29 + 8. What is the smallest common multiple of 39 and (-4)/t - 35/(-3)?
156
Suppose 0 = 22*r + 313 - 49. What is the common denominator of ((-25)/4 - -6) + (-47)/r and 13/2?
6
Suppose -2*q + 5*w + 28 = 0, 4*w - 29 = -3*q + 5*w. Suppose 270 = q*z - 0*z. What is the common denominator of -103/12 and (-180)/80*((-148)/z)/1?
60
Suppose 11527*t + 24400 = 11588*t. Calculate the lowest common multiple of 760 and t.
7600
What is the common denominator of (1 - (-28)/8)/(78/(-19)) and ((-30)/12*-3)/3*-11?
52
Suppose 3*t = 2*a - 18, -2*a - 2*t + 9 = -a. Let v be (a/6)/(3/(-186)). Find the common denominator of -61/4 and (-1)/(-1)*2 + v/36.
12
Let h = -718/87 - -219106/26535. Find the common denominator of -115/854 and h.
12810
Let s(i) = 26*i + 91. Let w be s(13). Let g = w - 299. What is the lowest common multiple of g and 91?
910
What is the common denominator of -22/107 and 15933/(-3210) + 8/(-16)*(-10 - 0)?
1070
Suppose 48 = 4*l - 5*n, 0 = 4*l - 0*l - 2*n - 48. Let z = -10 + l. What is the common denominator of (-335)/540 + z/8 and 53/21?
189
Let g(z) = -3*z - 10. Let d be g(-5). Let b(h) = -h**3 + 7*h**2 - 3*h - 11. Let a be b(d). Calculate the common denominator of -113/10 and a/(-42)*(-14)/30*85.
30
Let v = -33 + 43. Calculate the common denominator of 58/33 and 177/18 - v - 7/6.
33
Let y = -13014551/10 - -1302612. Let s = 2470 + -1312. Let i = y - s. Calculate the common denominator of -43/7 and i.
70
Let s(o) = 5*o**2 - 5*o - 2. Let p = 1081 + -1073. Calculate the lowest common multiple of p and s(2).
8
Let b = -8330713/18638796 + -2/141203. What is the common denominator of b and -127/36?
396
Suppose -2*p = a - 47, -2*a = -p + 6*p - 118. What is the lowest common multiple of p and 26/(-715)*-11*110?
264
Let s(h) = -20*h + 85. Let j be s(11). What is the lowest common multiple of 25 and (j/36)/((-3)/72)?
450
Let x(g) = -502*g - 2972. What is the least common multiple of x(-6) and 1936?
9680
Calculate the smallest common multiple of (-5 + -1)*(-68)/(-102)*(-14)/4 and 3506.
24542
Let w(k) = 2*k**2 - 2*k - 26. Let g be w(5). Let r = g + 7. Suppose 5*s = 202 - 52. What is the smallest common multiple of r and s?
210
Let r = -257 + 189. Calculate the common denominator of -3 - r/20*1 and 28/11.
55
Suppose 4*o - 22 = -2*s - s, 4*s - 5*o - 81 = 0. Let h be (s/55)/(40/(-175)). Let r = h + 1709/132. What is the common denominator of 13/4 and r?
12
Let f(a) = -2*a + 41. Let o be f(13). Suppose 89 = 4*h - o. Let u = -3 - -5. What is the least common multiple of u and h?
26
Let a = -371/23 + 10245/782. Let j = 2 - 5. What is the common denominator of a and (-66)/21 + -2 + j?
238
Suppose 5*l = -2*l + 49. Let w(f) = f - 2. Let o be w(l). Suppose 4*b = -0*x - o*x + 57, 11 = 2*b - x. What is the smallest common multiple of b and 11?
88
Let a = -87201 - -18312353/210. Calculate the common denominator of a and -107/105.
210
Let p = -1811 + 1928. What is the least common multiple of 273 and p?
819
Suppose 0 = -13*v + 438 + 420. Calculate the smallest common multiple of ((-546)/15)/(-2) + 1/(-5) and v.
198
Let q be ((-84)/(-64))/7*(-300351)/(-27). Let t = q - 2085. Calculate the common denominator of 2 and t.
48
Let l(h) = h**3 - 42*h