 Calculate the smallest common multiple of t and 27.
297
Let s = 44117/6 - 7347. Let a be (1*-91)/((-2)/4). Let r = a - 263/2. Calculate the common denominator of s and r.
6
Let t(n) = n + 6. Suppose 0 = 4*c - 4*z - 16, 0*z - 5*z = 0. Suppose -7*v + c*v = 0. Calculate the least common multiple of 10 and t(v).
30
Suppose -3*u + 31 = -5. Suppose 0 = -7*t + 4*t + u. Let s(a) = -a**2 - a + 6. What is the least common multiple of t and s(0)?
12
What is the smallest common multiple of 52 and 52*((-15)/80)/(8/(-96))?
468
Let m = -47425/2 + 22975. Let b = 715 + m. Let u = 52123/10 - 5218. What is the common denominator of b and u?
10
Let b = 455 - 9103/20. Find the common denominator of b and -33/140.
140
Suppose -5 - 10 = -5*d. Suppose 4*y - 5 = -d*t, 0 = 4*t - y - 12 - 1. Suppose -2*a + 15 = 3*a. Calculate the lowest common multiple of a and t.
3
Let b(j) = -j + 11. Let h(m) = -m - 3. Let k be h(2). Calculate the least common multiple of b(k) and 2.
16
What is the common denominator of (-1572)/396 - (-3 - (-1 - -2)) and -7/24?
264
Let m(r) = -r**2 + 33*r + 28. Let u be m(28). Calculate the common denominator of 119/18 and (-471)/u + (-3)/24.
126
Suppose -6*r = -159 - 435. Calculate the least common multiple of 198 and r.
198
Let u(t) = -5*t - 8. Let v be u(-6). Suppose -4*w + 3*w + v = 0. Let z(n) = -11*n**2 + 57*n - 6. Calculate the least common multiple of w and z(5).
44
Let d(b) = -b**2 + 6*b + 5. Let r be d(7). Let z be (-3 - -1)*-1 - r. Let g(j) = j**2 - 2*j + 3. Calculate the least common multiple of 11 and g(z).
11
Suppose -2*t - 12 = -2*h, 0*t = -2*h - 2*t. Suppose -o - 8 = h*o. Let p(s) = 2*s**2 + 2*s + 3. What is the smallest common multiple of 3 and p(o)?
21
Suppose -4*g + 77*v - 73*v + 252 = 0, -5*g = 5*v - 365. What is the lowest common multiple of 2 and g?
68
Let q = 3432695389/38 + -90328125. Let j = -5965 + q. What is the common denominator of 69/10 and j?
190
Let u = 47 - 47. Suppose -5*q - 16 = -2*p, -q - 2 = -u*q. What is the smallest common multiple of p and 7?
21
Let d(v) = v**3 - 5*v**2 - 18*v + 78. Calculate the least common multiple of 324 and d(8).
2268
Suppose -9*o = -10*o + 3*b + 224, 2*b = o - 228. Let w = 101 + -95. Calculate the least common multiple of o and w.
708
Let g = -2533/30 + 271/3. Let i = -490 - -3063. Let f = i - 20635/8. Calculate the common denominator of f and g.
40
Let t be 12/14*(-84)/(-18). Let p be (26/t)/(4/8). Suppose -r = -q + 19, 2*q + 5*r - 18 - p = 0. Calculate the lowest common multiple of 18 and q.
18
Suppose s + 158 - 178 = 0. What is the smallest common multiple of s and 24?
120
Let k(t) = 2*t + 24. Let o be k(-10). Suppose 2*i - o*y - 13 = y, -2*y = 4*i - 14. Calculate the lowest common multiple of i and 17.
68
Let r be 0 - 1 - (1 - 3). Let b be 0/(-13) - -7*r. Suppose -3*v + 3*m + 33 = 0, 4*v - 19 = -5*m + b. Calculate the least common multiple of 8 and v.
72
Let f(m) = m**2 + m - 1. Let l be f(-1). Find the common denominator of 0 + l + 97/6 and ((-64)/12)/(7/(-3)).
42
Let k = -349/280 + -13/40. Calculate the common denominator of k and 1*((-228)/14)/(-3).
7
Calculate the least common multiple of 4 + (-152)/36 + (-188)/(-36) and 55.
55
Let s(c) = -c**2 - 9*c - 11. Let q be s(-5). Suppose 56 = -2*m + q*m. Suppose -4*i - 5 = -77. What is the lowest common multiple of m and i?
72
Let w = -7200941/94 + 76605. What is the common denominator of w and -77/282?
282
Let t = -21874/5 - -17253/5. Let p = t - -932. Calculate the common denominator of 33/4 and p.
20
Calculate the common denominator of 67/20 and (111/(-12284))/(-1 - 115/(-118)).
1660
Let g be 4 - (78573/18 - -5). Let l = 4387 + g. What is the common denominator of -137/12 and l?
12
Find the common denominator of -81/4 and (-16)/(-96)*(-39)/1.
4
Calculate the common denominator of 85/84 and 3554/(-4488) - ((-588)/238)/21.
924
Let s(v) = v**3 + 14*v**2 + 4. Let i be s(-14). Suppose -7*l + 6*l + 10 = -i*x, x + 40 = 4*l. Calculate the least common multiple of 15 and l.
30
Let c = -9 - -42. Suppose 0 = -3*d - z + 2483, -3*d - c = 2*z - 2518. Let p = d - 13267/16. What is the common denominator of -91/10 and p?
80
Let n = 106 + -97. What is the common denominator of 31/20 and 6/n + 6/108?
180
Let c(h) = -h + 1. Suppose -4*o + q = -0*q + 21, -2*q = -o. Suppose -v + 3*j = 7*j - 19, -v = 5*j - 21. Calculate the lowest common multiple of v and c(o).
77
Let y(n) = -n**3 + 10*n**2 - 7*n - 7. Let t(q) = q**3 - 12*q**2 + 20*q + 9. Let c be t(10). What is the smallest common multiple of 8 - (7 + -3)/2 and y(c)?
66
Suppose -y - 20 = -6*y, -2*y = 2*v - 204. What is the lowest common multiple of 140 and v?
980
Calculate the lowest common multiple of (-38)/(-10) - 4/(80/(-4)) and 412.
412
Let z(s) = -2347*s - 12. Let w be 2/3 - 242/(-33). Let i be z(w). Let y = 375669/20 + i. Find the common denominator of 117/10 and y.
20
Let b = -98 - -1135/12. Find the common denominator of b and 4 - 4/(-240)*-159.
60
Let j(s) = s**2 - 6*s - 5. Let n = 6 + -4. Suppose 4*g + 3*x - 10 = n*g, 0 = -3*g + 4*x - 2. Calculate the lowest common multiple of g and j(9).
22
Let y(b) = 185*b - 195. Calculate the lowest common multiple of 100 and y(2).
700
Let g = 246/35 - -869/210. Let a = -280/69 - -3857/276. Calculate the common denominator of g and a.
12
Find the common denominator of (352/(-220))/(27/5) and 139/30.
270
Let r = 5010 - 140251/28. Calculate the common denominator of 3/28 and r.
28
Let b = 104137284 - 344277913195/3306. Let j be (-2186)/1102*1 + 2. Let q = b - j. Find the common denominator of q and -73/4.
12
Calculate the smallest common multiple of 56 and (-5472)/(-126) + 12/21.
616
Let q(x) = x**2 + 4*x - 49. Let w be q(0). Let i = 54 + w. What is the least common multiple of 10 and i?
10
Let v be (9032/10)/((-63)/5). Let b = v - -658/9. What is the common denominator of (6/10)/((-14)/35) and b?
14
Suppose i - 2*g - 23 = -3*g, 2*g + 26 = 2*i. What is the lowest common multiple of i and (-58)/(-7) + (-14)/49?
72
Find the common denominator of (-8855)/924*2*(-14)/250 and -137/54.
1350
What is the common denominator of -2 - ((-4725)/309)/7 and -5/4?
412
Let x = 14 + -13. Let d be -23 + 2 + x + -5. Let a = 35 + d. Calculate the lowest common multiple of a and 16.
80
Let j(k) = 10 - k**2 + 9*k**2 + 4*k + k**3 - 14*k + 2*k. Let v(f) = f**3 - 7*f**2 + 6*f - 9. Let w be v(6). What is the least common multiple of j(w) and 4?
4
Let u(x) = x**2 + 35*x - 31. Let a = 16 - -27. Calculate the smallest common multiple of a and u(-36).
215
Suppose -7*u - 28 = -8*u. What is the lowest common multiple of u and (-3 + -18 + 3)/(-2 - -1)?
252
Suppose 0 = 8*b - 5*b + 5*w - 8, 40 = 5*b - 5*w. Calculate the lowest common multiple of 6 and b.
6
Suppose 0 = 3*y + b - 17, 4*y + b = -3 + 24. Suppose -2*w = y*w - 30. Calculate the lowest common multiple of 8 and w.
40
Let l be ((-9)/4)/(30/(-280)). Let x = -20 + l. What is the smallest common multiple of 11 and x?
11
Let d = -151073/36 + 4195. Calculate the common denominator of d and -41/198.
396
Let i(y) = -y + 20. Let a be i(17). Calculate the common denominator of 34/(-22) - (-2)/4 and 2 - 0 - a - 927/162.
198
Suppose 2*k = 2*x - 4, -2*k - 7 = x + 3. Let y(h) = h + 5. Suppose -5*m + 59 - 14 = 0. Calculate the smallest common multiple of y(k) and m.
9
Let s(j) = 5*j + 32. Let b be s(-8). Calculate the common denominator of -1/9 and (113/b)/((-40)/32).
90
What is the common denominator of -41/12 and (8/((-96)/(-163)))/7?
84
Let y be 94/(-12) - (-4)/(-24). Let n = y + 10. Let u = 27 + -17. What is the smallest common multiple of n and u?
10
Let v(d) = d**3 - d**2 - d + 5. Let a be v(0). Suppose -34 = -a*i - 4. Calculate the least common multiple of i and 21.
42
What is the common denominator of 43/12 and 9/(-6)*342/(-81) + 1?
12
Let f(i) = -i**2 + 4*i - 13. Let j be f(3). Let k(p) = p**3 + 11*p**2 + 9*p + 2. What is the lowest common multiple of 32 and k(j)?
96
Suppose -j - 4*j = 2*q - 11, 0 = 2*q + j - 7. Let i = -289 - -290. What is the smallest common multiple of q and i?
3
Let c be (8/2)/(2/4). Suppose b - 14 = c. Suppose 3*r - 2*z - 92 = -r, 4*r = z + 90. Calculate the lowest common multiple of r and b.
22
Let g(z) = z**2 - 5*z + 5. Let d be g(4). Calculate the common denominator of (-34)/6*(-30)/(-4) and ((-6)/(-4))/d*15.
2
Let