54) - s/6 and ((-3)/(-18))/((-187)/(-5661))?
198
Find the common denominator of 41/364 and ((-157762)/14168 - -11) + 15/35.
8372
Let h = 381/8 + -1009/24. What is the common denominator of -113/4020 and h?
4020
Let k = 115 - 127. Find the common denominator of -61/45 and (-258)/240 + 3/k.
360
Let s(x) = -8*x**2 + 273*x - 30. Let i(o) = -2*o + 44. Calculate the least common multiple of s(34) and i(0).
44
Calculate the common denominator of 13/552 and 360/2760*(820/(-224))/5.
3864
Let t(g) = -5*g**2 + 23*g + 1. Suppose 29*c = 8 + 50. Suppose -2*n + 42 = -4*q, 5*n - 11 = 2*q + 94. Calculate the least common multiple of t(c) and n.
189
Let r(k) = 6*k - 45. Let s be r(8). Calculate the common denominator of 70/9 and (s - (-4 + 3)) + (-324)/92.
207
Suppose 469*h - 464*h = 0. Suppose 2*c = -l + 53, -103 = -4*c - h*l - 5*l. Calculate the lowest common multiple of c and 27.
27
Suppose 0*o = -3*o. Calculate the least common multiple of -2*(o + 21/(-6)) and (-64)/(-12)*12/8.
56
Let k = 47 + 2. Let i = k + -60. Let u = i + 15. Calculate the smallest common multiple of u and 40.
40
Let r(m) = 16*m - 176. Let q be r(11). What is the lowest common multiple of 9 and 3/(q - -1) - (-1836)/18?
315
Suppose g - 4*d - 26432 = 18548, -134976 = -3*g + 3*d. Let a = g - 5534552/123. Calculate the common denominator of a and 5/6.
246
Suppose -t - 2*f = 52, 0*t - f = -3*t - 156. Let b = 48 + t. What is the common denominator of 1/b*83 + -1 and -29/3?
12
Let s(v) = -12*v**2 - 18*v - 12. Let b be s(-6). What is the common denominator of 1724/(-1638) + (-144)/b and -23/21?
819
What is the smallest common multiple of (-11)/6*522/(-87) and -1 - 2 - (4 + -8)?
11
Suppose -i = 2*v - 124, 3*v - 46*i + 44*i - 186 = 0. Let q = v - -103. Calculate the least common multiple of 45 and q.
495
Suppose i + 15 = 3*c - 2*i, -4*c = 3*i - 20. Suppose 0*o + c*o = -5*n + 125, 5*n + 7 = o. Calculate the least common multiple of ((-7 - -1)*(-7)/3)/1 and o.
154
Let s(w) = -w**3 - w**2 + w - 1042. Let z be s(0). Let q = z + 7333/7. Calculate the common denominator of q and ((-15)/(-80))/((-13)/(1768/(-12))).
56
Suppose -38*w = -1455 - 217. Calculate the lowest common multiple of 121 and w.
484
Let w = -2/2397 - 1259/11985. Let m = -6303/680 + w. What is the common denominator of m and 93/8?
8
Suppose -5*n + 360 = 3*h - 7*h, -n - 166 = 2*h. Let i = h + 77. Calculate the least common multiple of (-5 - i) + (-21)/(-3) and 8.
40
Let v = 15/10472 + -92569/157080. Find the common denominator of (-245)/(-210)*(0 + 8/(-6)) and v.
495
Let y(n) = -37 + 10 + 7*n - 11 - 13. Let x be y(8). Suppose 4*d - 137 = -x*s - 35, 0 = s - d - 15. Calculate the least common multiple of s and 6.
18
Suppose 3*t - 95 = 3*f - 26, 0 = -2*t - 3*f + 36. Let o = -269 - -290. Calculate the least common multiple of o and t.
21
Let b = -3140 - -3257. Calculate the smallest common multiple of 24 and b.
936
Let k = 2079 + -16579/8. Let m = 9221/29 + -101451/319. Find the common denominator of m and k.
2552
Suppose 15 = -5*q, 2*l + 0*q - q + 19 = 0. Let m(b) = -2*b + 14. Let f(j) = 84*j - 144. What is the least common multiple of f(2) and m(l)?
72
Suppose 0 = 2*y + 3*p - 141, 6450*p - 6453*p - 399 = -4*y. Suppose -2*m - 5*q = -205, -3*m - 4*q = -3*q - 275. What is the smallest common multiple of m and y?
90
Let m(r) = -2*r**2 + 33*r - 20. Let w be m(16). Find the common denominator of 29/10 and (1/(-1))/(w/((-584)/70)).
70
Let h(q) = q**2 + q - 22. Let c = -145 - -138. What is the smallest common multiple of 56 and h(c)?
280
Let c = 112 - 104. Suppose 191 = c*d + 15. Let h(z) = 2*z + 2. Calculate the smallest common multiple of h(5) and d.
132
Let y = -51 + 63. Let s be (-8)/y*3*(-14)/4. Calculate the common denominator of (1/(-18))/(s/1022) + 2 and -10.
9
Calculate the common denominator of ((-33)/28)/(26 + (-2585)/88) and -34/1435.
12915
Let r(i) = 9*i**3 - 82*i**2 + 7*i + 23. What is the least common multiple of r(9) and 105?
105
Suppose 3*u - 26*d - 138 = -29*d, -5*d = -2*u + 50. What is the smallest common multiple of 75 and u?
600
Suppose 1343 = -4*a - 73. Let p = -214 - a. Suppose 24*s = 19*s + 100. Calculate the smallest common multiple of p and s.
140
Let m = -124 - -120. Let u = -219/26 - -1725/52. Calculate the common denominator of (31/m)/(16/(-8)) and u.
8
Suppose 5*f - 22 = -2*s + 3*f, -1 = 4*s - 5*f. Find the common denominator of 49/90 and (-852)/(-80) + s/(30/(-25)).
180
Calculate the common denominator of ((-62775)/(-2420))/(-9) - 10/(50/(-15)) and 155/264.
2904
Calculate the common denominator of 36/(-27) - (-1364)/888 and -73/100.
3700
Calculate the common denominator of 12180/(-4950)*-3 - (0 + 7) and -47/303.
16665
Calculate the common denominator of -119/156 and 179*((13 - (-119935)/(-9282)) + (-2)/26).
1092
Let t(u) = -5*u + 119. Let c be t(23). Suppose 0 = -c*r - 8*n + 9*n + 32, 3*n = 3*r - 15. What is the lowest common multiple of 33 and r?
99
Let z(f) = f**3 + 33*f**2 - 100*f - 720. Calculate the smallest common multiple of z(-35) and 4400.
13200
Suppose -3*w + 5*l - 6 = 0, 5*w + 0*l + 4*l = -10. What is the common denominator of w/4*5*(-510)/(-700) and -13/77?
308
Let d = -9 - -18. Suppose 10*c - 7*c - 78 = 0. Suppose r - 35 + 28 = -f, -3*r = 2*f - c. Calculate the lowest common multiple of r and d.
36
Suppose -2*u - 114 = -m, 0*u - 3*u - 173 = -2*m. Let q = u + 51. Let w(g) = -8*g + 12. What is the least common multiple of 16 and w(q)?
176
Let x(k) be the first derivative of -5*k**2/2 - 6*k + 2. Calculate the smallest common multiple of 3/5*-5*(13 + (-750)/45) and x(-5).
209
Let c = 436 - 478. Find the common denominator of 2/55 and (c/(-10) - 3)*(-210)/(-45).
55
Let d(s) = 15*s**2 + 31*s - 55. What is the smallest common multiple of d(2) and 7?
469
Suppose -20*u + 24*u - 24 = 0. Suppose 19847 = -5*p - a, -p + u*p + 19855 = -5*a. Let b = p + 31683/8. What is the common denominator of -57/8 and b?
8
Suppose -p - 5*o = 6, -p + 3*o + 6 = 4*o. Let j = -1 + 12. Let s = j - -10. What is the lowest common multiple of s and p?
63
Let s(x) = -x - 5. Let f be s(-7). Let b(w) = -w - 1. Let k be b(f). What is the least common multiple of 18/(3/k + 2) and 2?
18
Suppose -x = 3*s + 9, 5*x + 32 = -3*s + s. Let i be x/36 - (-5)/30. Suppose i = -8*a + 222 - 6. Calculate the lowest common multiple of a and 7.
189
Let y = 468 + -464. Suppose 210 = -y*t + 222. Let g(f) = 3*f**3 - f + 1. What is the least common multiple of t and g(1)?
3
Suppose 276 = -4*c + w + 3407, -4*w = 2*c - 1588. Let o = -646 + c. What is the smallest common multiple of o and 3?
138
Let m = 2847 - 2829. Calculate the lowest common multiple of 244 and m.
2196
Let i(f) = -f**3 - 11*f**2 - 11*f - 7. What is the smallest common multiple of 1 and i(-10)?
3
Let h = -52 + 49. Let z(b) = -35*b**2 - 6*b - 10. Let y be z(h). Calculate the common denominator of 2 + (-16)/9 - y/(-18) and -59/4.
12
What is the common denominator of (((-2)/120)/((-15)/(-12)))/(96/5080) and 49/10?
180
Suppose 86*t + 45*t = 17030. What is the least common multiple of t and 10?
130
Find the common denominator of 33/1603 and (-32)/176 + 39264/211596.
1603
Let f = 5570 - 150350/27. What is the common denominator of ((-58)/1247)/(3/31) and f?
1161
Suppose 0 = 510*z - 521*z + 627. What is the smallest common multiple of 348 and z?
6612
Let n be 20/6*((-453336)/(-90))/13. Let q = 1295 - n. Find the common denominator of 58/33 and q.
99
What is the common denominator of -49*(-7)/(21/2)*3/(-32) and 33/146?
1168
Let n = -78 + 44. Let a = -25 - n. Let c = 48 - 38. What is the lowest common multiple of c and a?
90
What is the common denominator of 91/892 and ((-636)/252)/((4/7)/((-6)/18))?
8028
Let s = -19408/275 + 753/11. What is the common denominator of (-765)/(-72) - (1 + -3 + 3) and s?
200
Let v(m) = -1758*m + 5278. What is the least common multiple of v(3) and 1511?
6044
Let z be (-2)/(-5) + (-1)/(5/(-113)). Suppose -z = -5*y - 3. Find the common denominator of -91/74 and ((-2)/y)/((-471)/(-117) - 4).
74
Let d = -78973/8 - -9860. Calculate the common denominator of 5/2604 and d.
5208
Suppose 0*z + 58 = -z - 2*j, 0 = 3*z + 4*j + 176. Let y(u) = 3*u**2 + u - 40. Calculate the smallest common multiple of y(5) and 12/5*(-1000)/z.
40
Suppose -15*r = -18*r + 39. Let b = 556 - 544. Calculate the