8.
36
Calculate the common denominator of (-6)/33 - ((-1037)/198)/1 and (3/(-14))/(26/2093).
36
Let c = -29513/1876 + 1200/67. What is the common denominator of -113/56 and c?
56
Suppose 0 = -3*i - 3*h + 21, -4*h + h = -5*i + 35. What is the lowest common multiple of (-6)/9 - 10/(-6) and i?
7
Let k = 9/2 + -17/18. What is the common denominator of k and -7/12?
36
Suppose 16*t - 12*t - 156 = 0. Calculate the least common multiple of 27 and t.
351
Suppose 3*q - 4*g + 24 = q, 4*g - 36 = 4*q. What is the common denominator of (-3)/((-63)/q) - 543/(-14) and 111/110?
110
Let r(v) = -v**3 + 23*v**2 + 21*v + 83. Find the common denominator of r(24) and 1 - (174/4 - 0).
2
Let g = 72 + -47. Suppose -32 = -4*z + 2*a - 4*a, 0 = 3*z + a - g. What is the lowest common multiple of 27 and z?
27
Suppose -12 = -3*q + 5*n, -q + n - 4*n = -18. Suppose -5*g + 8*g - q = 0. What is the smallest common multiple of 9 and g?
9
Suppose 6*x - 11*x = -45. Let b be (-40 + x)*7/(-65). Let k = 81/260 + b. Calculate the common denominator of k and 67/10.
20
Find the common denominator of -10 + 11 - 51/90*2 and -41/42.
210
Let k(x) = -2*x**2 + 47*x - 87. What is the lowest common multiple of 152 and k(21)?
1368
Let q = 743 - 1327. What is the common denominator of 25/16 and q/(-256) + 15/(-6)?
32
Let w(l) = 21*l - 6. Let k be w(3). Let u = 69 - k. Calculate the lowest common multiple of 184 and u.
552
Let s(o) = -o**2 + o - 14. Let n be s(-6). Calculate the common denominator of -97/4 and 282/n + 6/8.
28
Let d(z) = 2*z - 9. Let u be d(6). Suppose 0 = 4*g - u*g - 27. What is the smallest common multiple of 18 and g?
54
Let n(d) = 4 - 4*d + 3*d + 0*d. What is the smallest common multiple of n(0) and ((-28)/(-12))/((-49)/(-105))?
20
Let c = -4652597 + 130132183/28. Let t = c + 5016. Find the common denominator of 17/22 and t.
308
Suppose -p = 0, w - 13*p = -11*p + 12. Calculate the smallest common multiple of 36 and w.
36
Let l(x) = -x - 24. Let c be l(0). Calculate the least common multiple of (-6)/(-3 + 0)*9 and (-188)/c + 2/12.
72
Suppose -4*z - 10 = -3*z. Find the common denominator of (-2328)/420 + (-4)/z and -24/11.
77
Suppose -3*u + 13 + 86 = 0. What is the smallest common multiple of u and 66?
66
Let y(w) = 16*w. Calculate the smallest common multiple of 40 and y(5).
80
Let b = -565 - -605. What is the least common multiple of 60 and b?
120
Suppose 23*k + 15 = 28*k. What is the common denominator of -23/2 and (65/(-52))/(k/((-81)/6))?
8
Let l = 199 + -652. Let v = 33 - 15. What is the lowest common multiple of v and (-18)/(-42) + l/(-21)?
198
What is the common denominator of (10/(-9) + 1)/((-15)/1095) and 23/36?
36
Let f = 6329305/796698 + 1/44261. Calculate the common denominator of f and (-12)/(58/4 + -1).
18
Let q(x) = -20*x + 2. Calculate the least common multiple of 42 and q(-2).
42
Suppose 2*z - 42 = 9*u - 8*u, u - 5*z = -39. What is the common denominator of u and 7/3?
3
Let g be (1 - 1) + -3*(-16)/(-12). Find the common denominator of (-5)/2*(-38)/g and 111/10.
20
Let q be (-15002)/67266 + 6/27. Let t = q - 130741/67266. Calculate the common denominator of t and (-3)/4*(-34)/(-9).
18
Calculate the least common multiple of 28 and 1/(6 - (-395)/(-66))*2.
924
Let v(s) = s**3 + s. Let d(r) = 4*r**3 - 6*r**2 + 7*r + 7. Let l(z) = d(z) - 3*v(z). Suppose -q + 21 = 18. What is the lowest common multiple of l(5) and q?
6
Let m = 35 + 69. Suppose 6*o - m = 2*o. Suppose -2 - o = -4*u. What is the smallest common multiple of 7 and u?
7
Suppose -2161 = -3*n - 4*y, -3*n - 3*y + 968 = -1192. Let o = 12905/18 - n. Calculate the common denominator of -57/32 and o.
288
Let a = -40 + 48. Calculate the least common multiple of a and 189.
1512
Let n(o) = -2*o**2 + 4*o + 11. Let k be n(8). Find the common denominator of 3/(-8) - (-6)/(-8) and (-2)/72*(-1 + k).
72
Let g = 36 - 18. What is the least common multiple of 30 - 26/91*-7 and g?
288
Suppose 6*a - 15 = a + 4*u, u + 3 = a. Let p be (9 - a)*(-2)/(-4). Suppose 7*f = p*f + 44. What is the lowest common multiple of f and 3?
33
Let c(z) = z**3 + 8*z**2 + 6*z - 4. Let s = -16 + 9. Suppose -3*o + 16 = d + d, 1 = d + 5*o. Calculate the smallest common multiple of d and c(s).
33
Suppose 3*k = -9, u + 4*k = -3*u - 12. Suppose -4*b - 66 = -3*l, u = -l - b - 3*b + 22. What is the lowest common multiple of 5 and l?
110
Let n(d) = d + 3. Let r be n(12). Let a be ((-614979)/60)/(r/10). Let p = a - -6840. Calculate the common denominator of p and 21/22.
110
Let b be 22 + -4 + -4 - -4. Find the common denominator of (-194)/b + 16/4 and 65/12.
36
Suppose -w - 21 = -2*n, -5*n + 5*w = -51 + 6. What is the least common multiple of 1006 and n?
6036
Let r = 0 - -5. Suppose -o + r*o = 0, 4*o + 56 = 2*h. What is the least common multiple of 6 and ((-36)/14)/((-4)/h)?
18
Let h be (-4)/(72/(-66)) + 4/(-6). Suppose 30 = h*q - 60. What is the smallest common multiple of q and 30?
30
Calculate the common denominator of 29/3 and 4263/(-810) + (-24)/(-30) - -4.
54
Suppose 4*q - 7 + 15 = 0. Calculate the lowest common multiple of 1 and (q/(-4))/((-4)/(-56)).
7
Let c(a) = -5*a - 17. Let d be c(-5). Let l(t) = 2*t + 5. Calculate the smallest common multiple of l(d) and 6.
42
What is the common denominator of (-99)/6*39/162 and (-2)/(-10)*(-11)/(-88)*-214?
180
Let t be 2 - (3/6 + (-57)/2). Suppose -t = -4*b - 5*f - 0*f, -4*b + 24 = 2*f. Calculate the least common multiple of 1 and b.
5
Find the common denominator of 169/(-264) - 40/(-120) and 13/28.
616
Suppose 0 = 2*c - 7*c - 95. Let p = 26 + c. Let t(o) = 4*o - 17. Calculate the least common multiple of t(p) and 5.
55
Let p = 366 + -252. Calculate the smallest common multiple of p and 266.
798
Let w be 2/(-9)*3*-72. Let l be 32074/w*27/(-6). Let n = -3008 - l. What is the common denominator of n and 31/6?
48
Suppose -11396 - 38569 = 5*m. Let r be (1 - -1) + m/30. Let u = -330 - r. Calculate the common denominator of -11/24 and u.
120
Let v = -43 - -73. Let g = 59252/9 + -6591. Find the common denominator of g and v.
9
Let z(q) = -q**2 - 15*q - 21. Let t be z(-18). Find the common denominator of t/204 + (-3)/12 and -31/20.
340
Suppose 0*w = -22*w + 440. Calculate the smallest common multiple of 46 and w.
460
Suppose 4*i + 13 = 37. What is the least common multiple of ((-22)/(-11))/(4/(-6)) + 21 and 8/(-6)*(-63)/i?
126
Suppose 4 + 24 = 4*w. Calculate the least common multiple of w/((-7)/16)*-1 and 12.
48
Calculate the common denominator of (-3)/(-462)*7*(1 + -7) and (5 + -2)/(-9)*37.
33
Suppose 3*q - 15 = -3. Suppose 5*h + 190 = -5*d, q*h + h + 182 = 3*d. Find the common denominator of h and 156/208*206/21.
14
Let m = -462 - -210. Calculate the common denominator of 2/m*97*-3 and -67/16.
336
Let u = -3873275407/540 - -7172725. Let w = u + -2/135. What is the common denominator of w and -43/16?
16
Let r be 14/(-6) + (-1)/(-3). Let y be (-15)/r + 42/(-28). Suppose -2*i + y = -0*i. What is the least common multiple of 11 and i?
33
Let o(n) = -21*n - 3. Let w = 0 - -3. Let x be o(w). Calculate the common denominator of (4/x)/(4/156) and 30/7.
77
Let j(v) = -v - 1. Let s be j(-3). Suppose -s*r + 22 + 14 = 0. Calculate the smallest common multiple of r and 3.
18
Suppose -2*x - 54 = 3*x + 3*w, -5*x - w - 58 = 0. What is the common denominator of (-531)/x*6/(-18) and -50/3?
12
Let f(r) = -11*r + 104. What is the least common multiple of f(9) and 10?
10
Calculate the common denominator of (2/(-36))/((-58)/(-3886)) and 51/16.
144
Let b be ((-8)/(-16434))/(4/20982). Let c = 2/249 - b. What is the common denominator of c and 6*(747/(-546) - (-2)/13)?
77
Let d = 14 - 12. Suppose -4*b = d*p - 34, 2*b - 4*b + 29 = -3*p. What is the least common multiple of b and 50?
50
Suppose i - 38*g + 42*g - 17 = 0, 0 = -i - g + 11. What is the least common multiple of 12 and i?
36
Let c(f) = 2*f**2 - 7*f - 9. Let a be c(6). Suppose -a = -20*t + 17*t. Calculate the smallest common multiple of ((-22)/(-6))/((-1)/(-3)) and t.
77
Let x = 12 - 44. Let p = x + 55. Suppose -5*z + p = -37. What is the least common multiple of z and 8?
24
Let k be (-10954)/(-15) - (-6)/(-8). Let n = k - 2201/3. What is the common denominator of n and 95/8?
40
Let m be (4/2330)/(12/(-255)). Let w = 138703/1864 + m. Let d = 1627/24 - w. Calculate the common denomi