. Let k be 5/(-15) - z/6. Find the common denominator of (-1)/(-2) - (-16)/k and 117/10.
10
Let x(y) = y**2 + 11 - 2*y - 1 + 2*y - 9*y. Calculate the least common multiple of x(8) and 8.
8
Suppose 0 = -3*n - 10*c + 13*c - 2652, 4*n + 3540 = 2*c. Let g be 2/(-4) - (-12371)/(-14). Let x = g - n. Find the common denominator of x and -41/18.
126
Let y = -938081/30 - -31274. Calculate the common denominator of y and (-294)/(-100) - (-1 + 3).
150
Find the common denominator of (4 - (-171)/(-42))/(12/910) and -97/66.
132
Let n = -6/3227 - 186968/106491. Let f = -12532/8955 + 22/199. Find the common denominator of f and n.
495
Let d(u) = 6 - 3 - 7 - u**2 - 15*u. What is the smallest common multiple of (-12)/(-2*(-6)/(-8)) and d(-14)?
40
Suppose 11*n - 8*n = -4*o + 33, -3*n = -2*o + 39. Calculate the lowest common multiple of 2630 and o.
15780
Let s(q) = q**2 - 4*q - 5. What is the smallest common multiple of s(-2) and 44?
308
Let s = -377 + 381. Calculate the smallest common multiple of s and 292.
292
Let r be 25/(-3)*(2 + 1 - -69). What is the common denominator of -101/20 and 2/3*(-171)/r?
100
Suppose 0 = -z - 4 + 9. What is the common denominator of (-246)/44 + -3 + z and (12/16)/(((-27)/62)/(-3))?
66
Let j = -392 + 12937/33. Find the common denominator of -77/54 and j.
594
Let j(a) = 8*a**2 - 6*a + 6. Let l be j(3). Suppose -l = -9*f + 84. Calculate the smallest common multiple of 12 and f.
48
Let h be 90219/(-23832) - 32/(-8). Let d = h - 2/331. Calculate the common denominator of -61/10 and d.
120
Let l = -273 + 486. Let c be 3037/(-11)*3/l. Let w = c + -2/7029. Find the common denominator of w and -54/11.
99
Let y(i) = i**2. Let z be y(4). Let p = z + -12. Suppose 30 = 5*g - 2*q, -55 = -5*g - p*q + q. What is the smallest common multiple of g and 16?
16
Let p = 4/1757 + 54423/19327. Let b = -37/24 - -207/8. Find the common denominator of b and p.
33
Suppose -8*d + 9*d = -u + 56, 0 = -2*u - 4. What is the smallest common multiple of d and 22?
638
Let u = -532 + 1025/2. What is the common denominator of u and 45/9 - (1 - (-84)/32)?
8
Let x(h) = 10*h**2 - 27*h + 11. Let r(m) = -m + 18. Calculate the lowest common multiple of x(3) and r(0).
180
Let m = -1016 + 1088. What is the least common multiple of 4 and m?
72
Let r = 200 - 199. Calculate the smallest common multiple of 5 and r.
5
Suppose -5*g + 8 + 2 = 0. Calculate the least common multiple of g and (855/10)/(-19)*6/(-3).
18
Suppose 8 = -o + m, m + 42 = -4*o - 0*m. Let b be (40 + o)*(-2)/(-5). Suppose 0 = -9*u + b*u - 24. Calculate the smallest common multiple of 8 and u.
8
Suppose 3*f - 6*r = -7*r + 9, -8 = -5*f - 4*r. Let j = 7 - 0. What is the lowest common multiple of f and j?
28
Let n = 5 - 7. Suppose 5*l + 5*y - 27 = y, -5*l + 12 = -y. Calculate the least common multiple of n*6/8*-2 and l.
3
Let p = -1 + 4. Let g(b) = -b + 3. Let j be g(p). Suppose n + j*n = 10. Calculate the least common multiple of 20 and n.
20
Let l = 6355/8 + -792. Let g(k) = 8*k - 2. Let i be g(4). Find the common denominator of l and 4/i*(-445)/12.
72
Let r = -9751/35240 - -3/1762. What is the common denominator of r and 37/45?
360
Let h be (-52100)/(-19866) - (-4)/(-22). Let z be (-1)/(-9)*5*768/2752. Let c = z - h. Calculate the common denominator of c and -8/15.
105
Find the common denominator of (-1)/(-2) + 3886/(-348) and -51/601.
1803
Let m = 45 - 17. Suppose -3*r = r - m. Suppose -2*j - 5*c + r = 0, -5*c = -0*j - j + 11. What is the least common multiple of 18 and j?
18
Let f = -496 - -252. Calculate the common denominator of 7 + f/56 + 3/2 and 45/43.
301
Suppose 13*i - w - 3209 = 11*i, -3*i + 3*w = -4821. Calculate the lowest common multiple of i and 8.
6408
Let a = 7 - 6. Let l be a/3 + (-21)/49. Let x = l - -41/210. What is the common denominator of x and -67/22?
110
Suppose 1 + 47 = 3*v. Suppose -2*r = 0, -2*l + 7*r = 2*r - 52. What is the lowest common multiple of v and l?
208
Suppose -4*x = 53 + 635. Calculate the common denominator of 1*(-4)/(80/x) and -39/23.
115
Let j(m) = -m**2 - 5*m + 9. Let a(s) = -4*s + 8. Let t(l) = 7*a(l) - 6*j(l). Let o be t(-4). Calculate the common denominator of 6/(-15) + 796/o and 37/10.
90
Let f be 3/(-15)*2*(-7 + 17). Calculate the common denominator of ((-116)/24)/(f/9) and (6*14/32)/(-4).
32
Suppose 7*g + 5937 = 3*g - 3*a, -3*a = -2*g - 2973. Calculate the common denominator of -85/24 and 10/2 + g/252.
168
Let v = -435 + 455. Calculate the lowest common multiple of 58 and v.
580
Let f = -5699093/17426559 + -1/109601. Calculate the common denominator of f and 2/9.
477
Let a = 4527 - 2771. Let g = a - 6947/4. Let x = 84/145 + 7196/1595. Calculate the common denominator of x and g.
44
Let k = 50 + -51. Calculate the common denominator of k - (-8)/(-30) - (-3)/(-5) and -70/27.
135
What is the smallest common multiple of -38 + 31 + 66/2 and 50?
650
Let l = -5 - -14. Find the common denominator of 1/(-4)*(l + -24) and -25/16.
16
Let f = 19/22 - 863/44. Let n = 578542/414513 + 4/7821. Let q = 2719/1378 - n. Calculate the common denominator of f and q.
52
Let h = -588 - -684. What is the least common multiple of 20 and h?
480
Calculate the common denominator of ((-768)/80)/(14/10) and 0.
7
Let x = -209651/8 + 26212. What is the common denominator of (53/2)/(0 - 1) and x?
8
Let x be (390/24)/(2 - (-27)/(-12)). What is the common denominator of -3*(-58)/x*60/(-144) and 99/8?
104
Let t be 4 + 0/1 + 0. Let a = t - 0. Suppose l + 16 = c - 0*l, -5*c + 80 = -4*l. Calculate the least common multiple of c and a.
16
What is the smallest common multiple of 255 and 12/(-6) + 2 + (-18)/(-2)?
765
Let t = 52 - 311/6. Calculate the common denominator of t and (-3)/9 - (-406)/(-21).
6
Suppose 2*r - x - 2 = x, -4*x = 2*r - 8. Suppose -w = r - 0. What is the common denominator of w/5 - (-342)/60 and 33/8?
40
Suppose -688*s = -710*s + 484. What is the least common multiple of s and 42?
462
Let w be -3 + (-16)/(-4 - -2). Let u be (-18)/(-60)*42/w. Let b = u + 323/100. What is the common denominator of b and 11/2?
4
Let f = 284 - 283. What is the smallest common multiple of 18 and f?
18
Let b = 8 + -6. Suppose -4*a + 94 = 2*c, a + 16 = b*a - 2*c. Let o = -335 + 353. What is the lowest common multiple of o and a?
198
Let r(c) = -c**3 + 9*c**2 + 93*c - 44. Suppose -z = 2*y - 25, 53 = 4*y + z + 2*z. Let g = y - 8. Calculate the smallest common multiple of g and r(15).
3
Suppose -3*l = -o + 2*l + 66, 4*l - 160 = -2*o. Suppose -r + 7 = 5. What is the least common multiple of r and o?
76
Suppose j = 2*j - 4. Suppose 16 = j*i - 2*i. Calculate the lowest common multiple of 8*1 - (-2 + -1) and i.
88
Let k be 2112/(-7) + 7 + -5. Let r = -424 + 720. Let o = r + k. What is the common denominator of o and 29/11?
77
Suppose 28 = 2*q + 5*q. What is the lowest common multiple of q and 6?
12
Suppose -3*q + 3*l + 26 = -13, 5*q - 3*l - 55 = 0. What is the smallest common multiple of q and 4?
8
Let i = -23 + 17. Find the common denominator of i/16 - (-66)/112 and (39/8)/(14/(-8)).
14
Let s = -482 + 495. Calculate the lowest common multiple of s and 117.
117
Suppose -f + 5*u = -20, 10 = -f + 3*u - 8*u. Calculate the least common multiple of 60 and f.
60
Suppose -5*q - 7 = 2*q. Let v = -15 - -21. Calculate the smallest common multiple of v and ((-3)/(q + 2))/(-1).
6
Let f be ((-6)/(-15))/((-3)/1035). Let w = -344 - f. Find the common denominator of (-34)/17*w/40 and 19/6.
30
Let k(j) = 8*j**2 - 2*j + 10. Let c be k(-6). Let h be ((-6)/9 - -2)*6. What is the common denominator of -47 and (-12)/(-50)*c/h?
10
Let a = 11 - 7. Suppose -5*d = -a*d - 2. Suppose -13 = -2*i + s, -i + s + 19 = d*i. Calculate the least common multiple of i and 10.
30
Suppose 20 = -v - 5*i, 0 = -2*i + i - 4. Suppose v = z - 3*k - 12, 7*z + 2*k - 34 = 3*z. What is the smallest common multiple of -1 + (0 - (-8 - 0)) and z?
63
Let l(p) = -p**2 - 9*p + 3. Let y = 106 + -113. What is the least common multiple of l(y) and 1?
17
Suppose -m = -7 - 3. Let i be (198/110)/(2/m). What is the common denominator of -87/4 and (-93)/i*3/5?
20
Let f = -633 - -643. Calculate the lowest common multiple of f and 189.
1890
Suppose -9*d + 222 + 30 = 0. Calculate the lowest common multiple of d and 256.
1792
Suppose 2*y + 5*c = -21, c + c + 8 = -y. Find the common 