8
Let a = -26465/3 - -8818. Let q = -66748/15 - -4446. Find the common denominator of q and a.
15
Suppose -t + 3*t = 3*h + 201, 5*t - 490 = -5*h. Let y = -771/8 + t. Calculate the common denominator of 81/56 and y.
56
Suppose 0 = p + 3*p. Suppose -4*v = 2*x - 40, -v + p*v - 71 = -4*x. Let n = -304 + 326. Calculate the least common multiple of n and x.
198
Let y = -819 + 849. What is the smallest common multiple of y and 105?
210
Suppose 0*o = -5*o - 4*w + 27, 0 = -4*o + 5*w - 3. What is the lowest common multiple of -14 + 14/((-560)/(-680)) and o?
3
Let u = 4727647/560 + -59106/7. Calculate the common denominator of -87/200 and u.
400
Let s = 529 + -527. Calculate the least common multiple of (2/4)/1*154 and s.
154
Let n(i) = -3*i**2 - 135*i + 324. What is the least common multiple of n(-47) and 112?
336
Let s = 1584 - 2832. Calculate the common denominator of s/(-180) - (0 + 4) and (6/(-20))/(3/113).
30
Suppose -110 = -3*r - a - a, 3*r - 5*a = 145. Calculate the lowest common multiple of 33 - 24 - (-5*2 - -3) and r.
80
Let f(p) = -p**3 + 5*p**2 + 4*p + 7. Let h be f(7). Suppose -10*g - 30 = -13*g. What is the smallest common multiple of h/35*g/(-6) and 7?
21
Suppose 3*i - 5*a - 3850 = 0, 4*i + 2110 = 5*a + 7255. What is the lowest common multiple of i and 15?
3885
Let g(s) = s + 14. Let f be 0 + (-9)/((-45)/10). What is the lowest common multiple of g(-12) and -2*(157/f)/(-1)?
314
Calculate the common denominator of 3998/(-23868) + (-28)/68*(-6)/21 and -59/126.
4914
Let s(v) = 4*v. Let j be s(1). What is the common denominator of ((-3)/(-22) - 1)*(-1 - 0) and (j/(-10))/((-144)/(-3020))?
198
Let a be ((-2918)/(-4))/(4/(-64)). Let p be 396767/(-3 - (-38 - -1)). Let k = a + p. What is the common denominator of 89/4 and k?
68
Let l(f) = 88*f**2 + 9*f - 10. Let q be l(14). Let k be -1 + -1*q/(-9). Let d = k - 1912. Find the common denominator of d and -83/42.
42
Let u = -398209/37480 + -2/4685. Let z = -2496 + 49893/20. What is the common denominator of u and z?
40
Suppose -4*p + 7*p = 45438. Let t = p + -6383. Find the common denominator of 49/12 and (t/180)/(-23) + (-1)/(-4).
60
Let b = -12469 - -12809. Calculate the least common multiple of 250 and b.
8500
Let w = 43 + -27. Let t(a) = 9*a + 1. Calculate the smallest common multiple of w and t(1).
80
Suppose -t + 5*i = 13, 4*t + 0*i - 11 = -i. What is the lowest common multiple of (-18)/4 + 9 + (-3020)/(-40) and t?
80
Let h = 6316 + -25285/4. Find the common denominator of h and 25/329.
1316
What is the common denominator of ((-311020)/(-4752))/(-5) + 13 and 5/21?
8316
Let m = 155 - 157. What is the smallest common multiple of (m + -2 + -1)*66/(-10) and 6?
66
Let l = -19/48 + 1669/1488. Calculate the common denominator of 99/62 and l.
62
Let a = 219529412/737 - 297869. Calculate the common denominator of a and -11/469.
5159
Let k(o) = o**3 + 14*o**2 + 19*o - 16. Suppose 4*t + y + 59 = 0, -t + 10 = 4*y + 21. Let c = t + 29. Calculate the smallest common multiple of k(-10) and c.
1358
Calculate the smallest common multiple of (-6 - (-145)/10)/(2/124) and 217.
3689
Let k be (-5)/2*(16 - 0). Let s = 40 + k. Suppose -4*b + s*p + 5*p = -96, 3*p = 3*b - 72. What is the lowest common multiple of 8 and b?
24
Suppose -4*u = 5*u + 207. Let b = 32 + u. Calculate the least common multiple of b and 18.
18
Suppose 0 = s - 3*q - 33307, -14*s + 2*q + 99914 = -11*s. Let y = 1831779/55 - s. What is the common denominator of 167/30 and y?
330
Suppose 49*d - 5543 = -19*d - 1259. What is the least common multiple of d and 798?
2394
Let q = -119 - -135. Let n(s) = -2*s**2 + 39*s - 16. Let b be n(q). What is the common denominator of -7/33 and (1 - 1) + 572/b?
264
Let l = -3164807 - -14342905421/4532. Find the common denominator of l and 33/2884.
31724
Let w(r) = -2*r**3 + 3*r**2 + 4*r + 7. Let a be w(5). Let m be (a/(-16))/(2/8). Suppose m = t + 71. Calculate the common denominator of -25/9 and t.
9
Find the common denominator of 137/(-15)*3/6 and (-6)/(-30)*1/30*(87 + 40).
150
Let z(y) = 6*y + 2. Let p be z(-3). Let m = 28 + p. Suppose -1976004 = 65*a - 1976589. Calculate the smallest common multiple of m and a.
36
Suppose 5*g + 4*i - 4 = -15, 5*i = 5*g + 20. What is the common denominator of -33/2 and (-230)/161*g/(12/(-13))?
14
Suppose -464 = -20*l + 15*l + 4*j, 5*j = 20. Suppose l*c - 280 = 89*c. What is the lowest common multiple of 14 and c?
280
Let d(k) = -150*k - 11. Suppose 83*s = 87*s + 52. Let m be d(s). Let n = m + -11689/6. Calculate the common denominator of -64/39 and n.
78
Find the common denominator of 6 + (1209/(-1248))/((-5)/4 - -1) and -157/468.
936
Suppose -4*s = -137 + 41. Let a(g) = -g**2 + 10*g - 6. Let f be a(8). What is the lowest common multiple of (-135)/(-25) + 6/f and s?
24
Let b = -697 + 1548. Let k = b + -816. What is the lowest common multiple of 133 and k?
665
Suppose -2*k - 13 = -19, 4*k = -w - 285. Let v = 298 + w. Calculate the smallest common multiple of 35 and v.
35
Let s = 53443/118 + -453. Calculate the common denominator of ((-4)/(-110))/(-5 - (-1437)/285) and s.
1298
Let r = 351 - 188. Let d = 174 - r. Suppose -4*t = t - 3*g - 26, 5*t - 2*g - 29 = 0. Calculate the least common multiple of t and d.
77
What is the lowest common multiple of 721 and 386*8*(-7)/(-14) + 1?
10815
Let y be 83 + 0*(-1)/(-2). Let j = y - 38. What is the smallest common multiple of (6 + j/(-6))/((-6)/28) and 3?
21
Let d be (-3)/(24/(-32)) - 12. Find the common denominator of 87/16 and (-52)/(-29) - 0*(-4)/d.
464
Suppose 974*y - 11550 = 809*y. What is the lowest common multiple of y and 405?
5670
Let l(u) = -2*u**2 - 25*u - 12. Let a be l(-12). Suppose 114 = -2*n + 6*n + 3*g, 3*n - 3*g - 96 = a. Calculate the lowest common multiple of 35 and n.
210
Let i = 847 + 573. What is the common denominator of 31/45 and i/(-250)*(-10)/(-12)?
45
Let t = 1688184572/2505 + -673926. Find the common denominator of t and -83/30.
5010
Let s = 10529452290697 - 192137033560129104410/18247581. Let v = s + 4/15219. Let a = 63637/35970 + v. Calculate the common denominator of a and -103/10.
30
Calculate the common denominator of 1206/(-135) + -6 + 14 and 56/39.
195
Let a = 967255209/1768 + -547090. What is the common denominator of -35/104 and a?
1768
Suppose 0 = 3*p + 4*h - 86, 7*p + 2*h - 62 = 5*p. What is the smallest common multiple of 76 and p?
76
Suppose 63 = k - 4*l, -4*k + 18*l + 210 = 16*l. Calculate the smallest common multiple of 453 and k.
7701
Let k(g) = -9*g + 173. Let b be k(21). Let d(y) = -16*y - 226. Calculate the lowest common multiple of d(b) and 40.
120
Let z(k) be the first derivative of k**4/4 - 3*k**3 - 11*k**2 + 24*k - 176. Calculate the smallest common multiple of z(11) and 60.
120
Let f(a) = -4*a**2 + 17*a + 31. Let w(u) = 5*u**2 - 17*u - 32. Let n(t) = 4*f(t) + 3*w(t). What is the lowest common multiple of n(18) and 1?
10
Suppose -5*h = 5*f - 45, -15 = -h - 2*h. Let q be f/2 + 2 + -24. Let k = q + 24. What is the lowest common multiple of 16 and k?
16
Let s(q) = 2*q**2 + 14*q - 2. Let m(v) = -4*v**2 - 29*v + 5. Let a(c) = 2*m(c) + 5*s(c). Let x be a(-3). Find the common denominator of 122/10 + x/90 and -52/5.
5
Let r be -106*627/(-24) + 3. Let y = 2793 - r. What is the common denominator of (60/14)/((-18)/(-28)) and y?
12
Let s(x) = -x**3 - 7*x**2 - 2*x + 1. Let i = 1560 - 931. Suppose 5*c = 674 - i. What is the smallest common multiple of s(-7) and c?
45
Suppose 113*p + 1530 = 143*p. Suppose 16 = 2*t + 2*t. What is the lowest common multiple of p and t?
204
Suppose -2*q + 7*q + p - 1711 = 0, -3*q + 2*p = -1037. Let b = -288 + q. What is the lowest common multiple of b and 20?
220
Suppose -169*y + 128*y - 102789 = -122*y. Calculate the lowest common multiple of y and 282.
2538
Let z be 34 - 41 - ((-2315379)/283248 + (-4)/28). Let h be 851/(-1686) + (-1)/(-2). Let u = h + z. Calculate the common denominator of 25/7 and u.
112
Suppose 0 = -5*r - 4*q + 2435, -r = 3*q + 2*q - 508. Calculate the least common multiple of -2 - (-4 - -5 - 7) and r.
1932
Let o = 10925/238 + -648/17. Calculate the common denominator of o and 2/8 + (-1)/(-7)*-24.
28
Let m = 2112 - 2007. What is the lowest common multiple of m and 645?
4515
Let k = 154901843/1160 + -133536. What is the common denominator of k and -47/580?