of 304 and ((-72)/(k - -6))/(-1).
912
Let s be 35/(-2 - -7) - (1 - -1). Suppose 115 = s*f - 5*h, -3*h + 21 - 114 = -4*f. Calculate the least common multiple of 6 and f.
24
Let m be (-30)/((40/(-15))/8). Suppose m = 8*b - 3*b. What is the least common multiple of b and 21?
126
Let i(x) = -x + 23. Let s be i(25). Calculate the common denominator of s - ((-627)/(-180) - (-7)/(-21)) and -77/90.
180
Suppose -440 = -i - 3*i. Let c be -364*13/i - (-8)/(-10). Let x = c + 16703/396. What is the common denominator of x and -29?
36
Find the common denominator of -76/345 and (-4 - (-322)/(-20))*((-9944)/1104 - -9).
1380
Suppose 5*g = -35 + 110. Let c be (-141)/2*(-20)/g. Let u = c + -86. Calculate the smallest common multiple of u and 80.
80
Let r(u) = 2*u + 40. Let l(k) = 2*k**2 - 11*k + 5. Let m be l(5). Let i be r(m). Find the common denominator of (-186)/i - 4/(-10) and -83/8.
8
Let n(w) = -w + 73. Let i be n(14). Suppose 4*r - 35 = 2*y - 103, -2*y + i = -r. Calculate the smallest common multiple of 32 and y.
224
Find the common denominator of 121/216 and (-254)/(-72)*5*(-57)/(-380).
432
Let a = 16646 - 14735. Calculate the least common multiple of 637 and a.
1911
Suppose 7*x - 36 = 3*x. Let o(q) = 94*q**3 - 2*q**2 + 8*q - 6. Let k be o(1). Suppose 50 = 8*j - k. What is the smallest common multiple of x and j?
18
Let k = -9343/1971 + 830/73. Let w = 20/3 - k. Find the common denominator of -79/108 and w.
108
Find the common denominator of 86/(-60) - (-3 - 344/(-120)) and 393/378 + (-3)/27 + -2.
70
Suppose f - 5*u + 0 - 12 = 0, 3*u = -3*f. Suppose 4*t - 4*q = 48, 3*t - q - 24 = -f*q. What is the smallest common multiple of 1 and t?
9
Let i(f) = f**3 - 12*f**2 - 13*f + 5. Suppose 0 = 2*d + z - 24, -37 = 2*d - 5*d - z. Let o be i(d). Find the common denominator of o/(-15)*52/6 and -58/15.
45
Let g(p) = -p**2 - 2*p + 36. Let b be g(-7). Calculate the lowest common multiple of 6 and (210/280)/(b + (-14)/16).
6
Let w = -6855/572 + 149/13. Calculate the common denominator of w and ((-255)/4)/(-5) - -1.
44
Let w = -41928 + 46088. Calculate the lowest common multiple of w and 4800.
62400
Suppose 4*c + 22 - 13 = -z, 4*z = -c - 6. What is the common denominator of (-17 - c) + 10/60*-2 and 61/48?
48
Let d = 378 + -368. Suppose -4*m = -21 - 7. Suppose m*v - 10 = -3. Calculate the lowest common multiple of d and v.
10
Let a(x) = x - 8. Let g be a(8). Suppose g = -3*l - 5*l - 48. What is the common denominator of 2 - 63/(-48)*l and 73/16?
16
Let l = -4286 + 5906. What is the smallest common multiple of 630 and l?
11340
Suppose -76 = 2*v - 70. Let s = -1551/4 + 741/2. What is the common denominator of s and v/1 - (-745)/(-615)*-3?
164
Let o be (-21)/42 - (-1)/(4/70). Suppose o*k + 26 = 77. Suppose 5*q - 117 = -k*f + 2*f, -3*q = -f - 75. What is the lowest common multiple of q and 33?
264
Calculate the common denominator of (-35)/(-28) + ((-6)/21 - (-7481)/(-6720)) and 167/30.
960
Let u = -6/65 + 1607/12480. Calculate the common denominator of u and 92/(-264) - (-10)/55.
192
Let c be (-27562)/60*(-42)/(12/4). Let u be (-90)/12*2570/(-3). Let b = u - c. Find the common denominator of b and 37/6.
30
Calculate the common denominator of -17/6756 and (-54)/(-8)*((-27)/(-70) - (-19)/(-190)).
47292
Let b(i) = -i**3 + 6*i**2 + 51*i + 26. Let d be b(11). What is the least common multiple of 45 and (d/(-10))/((-63)/(-1050))?
90
Let o = -5283 + 5293. Calculate the least common multiple of 1322 and o.
6610
Let t = 141415 + -138586677/980. Calculate the common denominator of -21/10 and t.
980
Let q = 3705518 + -31682178859/8550. What is the common denominator of q and -64/15?
8550
Let i = -68462/64581 - 1/1957. Let v = 11585/3114 - -58/173. Find the common denominator of i and v.
198
Let w = 81 - 51. Suppose v + 32 = -4*v + 2*r, 0 = -5*v - r - 29. Let m(z) = -z**2 - 9*z - 12. Calculate the smallest common multiple of w and m(v).
30
Let l(z) be the second derivative of z**4/12 - 75*z. What is the least common multiple of 42 and l(7)?
294
Let c = -9556 + 9634. What is the smallest common multiple of 78 and c?
78
Suppose -2*h + 6*h + 5*y = 44, -2*y = 3*h - 40. Suppose -3*a - 13 = 3*a - 67. Calculate the smallest common multiple of a and h.
144
Suppose 1814 - 614 = 10*w. Calculate the smallest common multiple of w and 74.
4440
Let l = 12295 + -1635248/133. What is the common denominator of l and -33/19?
133
Suppose -6*l + l + 15 = g, -4*g = -20. Let a be -21*(-24)/84 - 4. Suppose -l*c + 24 = a*c. Calculate the lowest common multiple of 14 and c.
42
Suppose -27*h - 516 = -32*h + 3*p, 5*h - 460 = -5*p. Calculate the smallest common multiple of h and 72.
792
Let o = 88308576 + -56870702867/644. Let q = o + -708/23. Calculate the common denominator of q and -103/20.
140
Let j = 1936555/96 + -80695/4. Find the common denominator of 87/64 and j.
192
Suppose 5*h - 75 = -0*h. Let k be h/40*(-6)/(-159). Let d = k + -5781/4028. Calculate the common denominator of d and -59/8.
152
Let h = 124 - 132. Calculate the common denominator of -7 + h/(64/(-236)) and 87/16.
16
What is the lowest common multiple of (-1)/((-1)/14) - 2 and (-1287)/(-108) + 18/216?
12
Let a be 4 + (-32)/(-112) + 3036/7. Suppose 27*g - 534 = a. Calculate the least common multiple of g and 24.
72
What is the common denominator of -109/14674 and (27/(-20)*18/27)/(6/(-14))?
73370
Let t be 155/(-2)*(6 - -9*24). Let f = -567704/33 - t. What is the common denominator of -31/24 and f?
264
Let a be 0 + -9 + -2 + -3. Find the common denominator of ((-1)/a)/((-60)/385) and 25/(-8) - (-33 + 27).
24
Find the common denominator of 40880/480*1/70 and 31/210.
420
Let f(g) = -g**2 + 3*g + 44. Calculate the smallest common multiple of f(8) and 11.
44
Let d = -6683349152629 - -497902828506385916/74499. Let h = -2/24833 + d. Let b = h - -204. Calculate the common denominator of -47/30 and b.
30
Let z = 205 + -105. Suppose 0*a - 5*a + z = 0. Suppose -28 - 36 = -4*d. Calculate the lowest common multiple of d and a.
80
Let q = 2655 - 1030149/388. What is the common denominator of q and 33/388?
388
Let y be 216/(-10)*(0 - 70)/(-7). Let x = -1755/8 - y. Find the common denominator of 81/64 and x.
64
Let k(y) = y**3 + 3*y**2 + y - 39. Let x be k(0). Let d(p) = -p**3 - 40*p**2 - 37*p + 96. Calculate the smallest common multiple of d(x) and 39.
234
What is the common denominator of (-1579)/960 - (-2 - 14/((-168)/6)) and 157/240?
960
What is the common denominator of (-6)/(-4) + (-1456)/(-78) and 53/1284?
1284
Suppose 2*v + 3*j = 144, -j = 4*v + 89 - 397. Suppose -42 = -6*t + v. What is the least common multiple of (6/(-15))/(1/(-65)) and t?
260
Let w(l) be the second derivative of 28*l + 1/3*l**3 + l**2 + 0 + 5/12*l**4. What is the least common multiple of 32 and w(-2)?
288
Let m = 1349/3 - 4954/11. Find the common denominator of ((-6)/27)/((-60)/(-981)) and m.
330
Calculate the common denominator of 1 + -11 + (1686/480)/((-2)/(-4)) and (18/(-40) - 0) + -1.
40
Let a(o) = -8*o**3 - o**2 - 12*o - 11. Calculate the least common multiple of a(-1) and 293.
2344
Let r be -2*((-18)/(-6))/(-1). Calculate the lowest common multiple of 2 and (-4)/r*1035/(-10).
138
Let n(t) = -t**3 - t**2 - t + 4. Let c be n(0). Suppose c*u + 6*u - 40 = 0. What is the least common multiple of u and 12?
12
Let k be ((-22)/(-28) + (-22)/77)*1228. Let h = k - 578. Calculate the least common multiple of h and 108.
108
Suppose -42*l + 93 = -38*l + r, 0 = -2*l - 4*r + 36. Suppose 50*y = 66*y - 64. Calculate the lowest common multiple of l and y.
24
Let v = -335 - -341. Suppose -5*n + 40 = 5*l, -5*l = -n - v + 2. What is the smallest common multiple of 30 and n?
30
Suppose 68*m - 844 = 64*m. Let p = m + -199. What is the smallest common multiple of p and 10?
60
Let l = 6444 - 90155/14. Let b be 6635/25 + 0 + 1. Let r = -8657/30 + b. What is the common denominator of r and l?
42
Let x = -1424 - -1442. Calculate the lowest common multiple of x and 962.
8658
Let f = 11611/94 + -34152463/276454. Find the common denominator of 79/10 and f.
29410
Let a(y) = 2*y + 6. Let r be a(-8). Suppose -i = 2*n - 5*n - 11, 3*n + 21 = 3*i. Calculate the smallest common multiple of 7 and i*(-4 + 3)*16/r.
56
Suppose 4*q + 3*i = 51, q - 2*i + 6 - 5 = 0. Suppose -1 = 4*b - q. Let j(d) = -2*d**3 - 4*d**2 - 