421908929499829/3982. Let q = -9814/11 + n. Calculate the common denominator of q and 51/14.
2534
Let v be -1 - 5/(-7) - (-1989)/273. Suppose v*y + 41 = 181. Calculate the least common multiple of 14 and y.
140
Let i be (-2282)/(-56) - (2 + 9/(-4)). Suppose -252 = 27*k - i*k. Calculate the lowest common multiple of 30 and k.
90
Calculate the common denominator of -3*1252/(-720) + 4/(-6) and 5/2094.
20940
Let y = 46845/7 - 13069328/1953. What is the common denominator of -121/210 and y?
19530
Let h(s) = 2*s**2 + 39*s + 175. Let m(p) = -p**2 - 26*p - 117. Let v(o) = 5*h(o) + 8*m(o). Calculate the lowest common multiple of v(10) and 18.
18
Let f(y) = -y**2 + 6*y + 5. Suppose -m + 25 = -3*s, 0 = -5*m + 3*s + 95 - 6. Suppose m*v + 0*v = 80. What is the lowest common multiple of f(6) and v?
5
Let y = 6/13 + -1453/78. Calculate the common denominator of (-8 - (0 + 1449/(-180)))/((-1)/109) and y.
60
Let p(f) be the first derivative of -f**2 + 90*f - 58. What is the least common multiple of 15 and p(27)?
180
Calculate the lowest common multiple of 258 and 2*(-9 + (-84)/(-8)).
258
Let d = -4683 + 159195/34. Let y = d + 1219/272. What is the common denominator of y and ((-2)/(-9)*-3)/(110/429)?
80
Let p = 2651251/117 + -22660. Find the common denominator of 32/423 and p.
5499
Calculate the lowest common multiple of 20 and (3411 - 0) + (12 + -6 - 12).
13620
Let d = -1427/174 + -28/29. Let u = 168/2884339 + 19212099919/8278052930. Let r = u - 6/287. Calculate the common denominator of r and d.
30
Suppose 15037 - 10095 = 121*f - 28091. Calculate the smallest common multiple of f and 216.
19656
Let j be (8/16)/(3/(-6)). What is the common denominator of (-2324)/21*j/(-20) and 98/(-54) - (1 - 1)?
135
Let n = -134629/25 - -5385. Calculate the common denominator of 33/250 and n.
250
Let x be 5 - ((-79748)/18 + 3). Let d = x + -4427. Find the common denominator of 55/14 and d.
126
Let z = -578921894/1953 - -296427. What is the common denominator of 44/63 and z?
1953
Suppose 5*b - 3*p = 67, -59*b - 42 = -61*b + 5*p. What is the smallest common multiple of b and 6671?
73381
Let m = 23389 - 23323. Let q(v) = v**3 + 8*v**2 + 5*v - 2. Calculate the lowest common multiple of m and q(-5).
528
Suppose -360 = 4*l - 9*l. Suppose -3*n + 0*n = -l. What is the common denominator of -22/5 and 278/n + (-2)/1?
60
Let s = -124664 + 34781320/279. What is the common denominator of s and -69/434?
3906
Suppose -4*p + 11*p = -p. Suppose p = -3*t + 3*o + 63, -51 = -2*t - 2*o + o. Calculate the smallest common multiple of 20 and t.
120
Let k be 2/(-1 - -5)*38. Let w = 198/67 - 18683/3216. What is the common denominator of w and (k/(-18))/(10/(-150))?
48
Let m = 112809226/651 + -173286. Let f = 645/434 + m. What is the common denominator of -61/8 and f?
168
Let f(h) = -2 + h**2 + 3*h + 2. Let x(o) = o**2 - 14*o - 5. Let q be x(14). What is the lowest common multiple of 11 and f(q)?
110
Let s = -1054561/83 - -12706. Find the common denominator of -29/4 and s.
332
Let w be (310952/576 - 10) + 1/8. Let g = 4850/9 - w. Calculate the common denominator of 59/44 and g.
132
Suppose -v - 90 = v + 2*m, -v - 45 = -3*m. Let p = 50 + v. Suppose -5*a + 9 = -r, 5 = 3*a + 2*a - p*r. Calculate the smallest common multiple of a and 16.
16
What is the lowest common multiple of 14 and -3 - (5 + -18) - (-327)/3?
238
Let g(q) = 3*q + 42. Let h be g(-13). Let j be ((2 - h) + 1)/(-2) - -440. What is the least common multiple of 4 and -2 + 16/7 - j/(-28)?
16
Let c be 33407/(-15) + (-10)/(-75). Let o = 11093/5 + c. What is the common denominator of o and (6 + -10)/(22/(-23))?
55
Let p be (-1 - (6 + 1))/(-45 - -47). Find the common denominator of -31/6 and 3425/(-675)*3/p.
36
What is the common denominator of -31/134 and 13*1/(-96)*((-9177)/(-1273) + -7)?
3216
Let j(b) = -b**3 + 10*b**2 + 8*b + 18. Let v be j(14). Let d be v/(-960) - (-2)/(-5). Let n = -241/32 + d. Find the common denominator of n and 67/2.
4
Let p = -8619 + 189577/22. Let r be (5 + 7)/(-2 + 1 + 0). What is the common denominator of (1221/660)/((-2)/r) and p?
110
Let x = -94 + 130. Suppose x*y - 5*y = 2077. Calculate the lowest common multiple of y and 6.
402
Suppose 0 = 5*h + 2*n - 272, 4*h + 5*n - 3328 = -3124. Let j(k) = -k**2 - 11*k - 2. What is the smallest common multiple of j(-5) and h?
56
Let r = -1421 + 1427. Calculate the smallest common multiple of r and 1749.
3498
Calculate the common denominator of 11 - (-910)/(-84) - (-62)/(-57) and -53/168.
3192
Let y(i) = -i**2 + 9*i + 36. Let v be y(12). Find the common denominator of ((-176)/(-30) - v)/(2790/(-225)) and -19/33.
1023
Let c(j) = 21*j**2 - 11*j - 32. Let g be c(-3). Let z = g - 180. Calculate the least common multiple of z and 50.
50
Let o = -3933 - -2299. Let r = 6471/4 + o. Find the common denominator of r and -83/56.
56
Let a = 109/139 - 4219/417. Let y be (-2)/((-2)/6 - -1). Find the common denominator of -1 + ((-222)/(-16))/y and a.
24
What is the common denominator of -26/1221 and 238/88 + (-910)/56 + 16?
1221
Suppose -g + 2*c + 435 = 116, -1565 = -5*g + 4*c. Let b = g - 274. Calculate the smallest common multiple of b and 45.
315
Let z(r) = -r + 13. Suppose 3*v + 5*d - 1 = -7, -v + 2 = 3*d. Let c(y) = 3*y**2 - y + 2. Calculate the least common multiple of z(v) and c(-2).
80
Suppose -20*s - 68 = -608. Let r = 31 - 25. Calculate the least common multiple of r and s.
54
Let m(l) = 3*l - 16. Suppose 0 = -23*w + 21*w + 12. Calculate the lowest common multiple of m(w) and (-468)/(-21) - 2/7.
22
Suppose g = -g + u + 278, 673 = 5*g + 3*u. Let j = g + -2681/20. Let o = 1687937/304140 - -2/15207. Find the common denominator of j and o.
20
Suppose 0 = 15*w - 7*w - 2440. Let g = w - 291. Calculate the least common multiple of 126 and g.
126
Suppose 14770*q - 14766*q - 216 = 0. What is the lowest common multiple of q and 126?
378
Let p(t) = -t + 101. Let f(v) = -v**2 + 17*v + 31. Let k be f(18). Calculate the lowest common multiple of 124 and p(k).
2728
Let d = 309/52 + -26699/4108. Find the common denominator of d and -24/395.
395
Let o = 36843299/150 + -245623. Calculate the common denominator of o and -45/16.
1200
Suppose 26*t = 269 + 3095 + 3110. Calculate the lowest common multiple of 996 and t.
996
Let a be 10/8*(3 - -1). Suppose 387 = 16*k + 259. What is the lowest common multiple of k and 4 - 5/(a/2)?
8
Let u = -621389/132 + 14123/3. Let p = 197837/3 + -65957. Calculate the common denominator of u and p.
132
Let h = -8090 - -8153. Calculate the least common multiple of 147 and h.
441
Suppose -5*a - 10 = 0, 9*k - 8*k + 7963 = -5*a. Let u be ((-1049538)/(-88))/((-6)/4). Let j = k - u. Find the common denominator of 83/8 and j.
88
Let v(f) = -2*f - 9. Let b be v(-6). Suppose -s + b*s = 16. Suppose -2*w = m - 17, 21 = 3*m - w + 2*w. What is the least common multiple of s and m?
40
What is the least common multiple of 786 and (2*3 + (-3 - 7) + 10)/2?
786
Let s = -6530 + 71790/11. Let a = -587/45 - -244/15. What is the common denominator of s and a?
99
Calculate the lowest common multiple of 308 and -4 - (1/(-4) + 22375/(-100)).
1540
Calculate the smallest common multiple of 70 and 8/(-1)*(14 - 112)/7.
560
Let b be 4/(-46)*2/44. Let c = 9871/1012 + b. Calculate the common denominator of c and -55/16.
16
Let b = -629172 - -3157814278/5019. Calculate the common denominator of b and -15/7.
5019
Let z = 365/12 - 647/21. Find the common denominator of 50/(-60)*(114/4)/(-3) and z.
84
Let f = 46527/3052 - -4/763. Let m = 35881 + -5131018/143. Calculate the common denominator of f and m.
572
Let c be ((-340)/8 - 3)/(2/156). Let s = -95888/27 - c. Find the common denominator of 6045/(-450) + (-2)/(-10)*-2 and s.
54
Suppose -4*t = t - t. Suppose t = 10*s + 63 - 23. What is the common denominator of 6027/126 + s/(-6) and -17/10?
10
Suppose -19*l + 1008 = -5*l. Let j be (-1788)/(-33) + (l/(-33) - -2). Suppose -13*c + 4*c = -j. Calculate the least common multiple of 30 and c.
30
Let g = -61 - -113. Suppose 3*o = -2*i - 515, 3*i + 116 = -o - 51. Let l = 187 + o. What is the least common multiple of g and l?
364
Let w = -685871/2187612 + 2/60767. What is the common denominator of 53/196 and w?
1764
Calculate the common denominator of 15/2078 and (7632/(-1512))/((-8)/(-6)).
14546
Let p(s) = s**3