 Calculate the least common multiple of l and 27.
189
Calculate the common denominator of -5 + 4*50/32 and 35/828.
828
What is the common denominator of 1/(-4) + (-83)/(-8) and 2*(452/50)/((-32)/20)?
40
Let x be (-450)/4*(-246)/(-1420). Let j = -17/71 - x. Calculate the common denominator of 74/9 - 17/34 and j.
36
Suppose 60 = -4*f - 5*u, -f - 6*u = -2*u + 26. Let b be 6*1/f*-15. Let c(k) = -k**2 + 10*k + 5. What is the smallest common multiple of 6 and c(b)?
42
Let j = -8 - -9. What is the least common multiple of (2/(-4))/(2/22)*-2 and j?
11
Calculate the common denominator of -67/12 and 4280/280*(-7)/(-220).
660
Let g = 8 - 6. Suppose 4*w + 5*y = y + 24, y = g*w. Suppose 0*h = -h - 3, -w*h + 6 = 2*o. What is the lowest common multiple of o and 4?
12
Let a = 5 + 7. Let b be (-3)/((-3)/(3/(-1))). Let p(i) = -i**3 - 4*i**2 - 4*i + 1. Calculate the smallest common multiple of a and p(b).
12
Let s be 223 + -2 + 2 - 3. Suppose 3*h - 139 = q, -q - s = -5*h + 3*q. Calculate the lowest common multiple of h and 22.
528
Suppose 3*b + 6*s = 405, 0 = 8*b - 10*b - 3*s + 274. What is the smallest common multiple of 13 and b?
143
Let s(v) = 674*v - 7. Let p be s(-4). Let m = 32503/12 + p. Find the common denominator of m and 19/10.
60
Let p be 5/1 - (4 - 2). Let b = -1973/132 + 199/12. Calculate the common denominator of b and (-2)/p*(-201)/(-16).
88
What is the lowest common multiple of 216 and (5 - (-114)/(-24)) + 42/24?
216
Suppose 8 = -5*t - 22. Let s be (-3)/(-2) - t/(-12). Calculate the common denominator of s/((-900)/292 + 3) and -47/6.
6
Let k = 8211 - 16073. Let s = k + 62983/8. What is the common denominator of s and 79/16?
16
Let d = 38515/12 + -3205. Calculate the common denominator of -131/12 and d.
12
Let f = -19 - -19. Suppose -12 = 3*v + 3, f = -4*w - 5*v - 29. Find the common denominator of 34/11 and (-123)/(-12) - (-3)/w.
44
What is the smallest common multiple of ((-27)/(-12))/(84/(-16) - -6) and (1 + 1/(-2))*14?
21
Let a be ((-4)/(-40))/((-78)/10870). Let y = 238/39 + a. Calculate the common denominator of y and 1918/(-392) + (-2)/(-1).
84
Let v = -2519 - -40385/16. Calculate the common denominator of 39/162*(3 - 2) and v.
432
Let k(i) = i + 4. Let c(m) be the second derivative of -m**4/12 + 7*m**3/6 - m**2/2 - 5*m. What is the lowest common multiple of k(7) and c(3)?
11
Suppose -3*z + 21 = 2*c, -6*c - 2*z = -4*c - 22. Calculate the least common multiple of (-4)/c*9 - 8/(-2) and 3.
3
Let q be (-2)/((-70)/36 - (-3 + 1)). Let f = q + 43. What is the least common multiple of f and 11?
77
Let m = -144591/138320 + 6/8645. What is the common denominator of m and ((-15)/4 + 5)*380/(-80)?
112
Let q = -4/38937 + 731177/259580. Find the common denominator of (-246)/(-15)*190/456 and q.
60
Let x = 96170/13 - 35648572/4823. Let n = 1560000/53 + -29435. Let w = n + x. What is the common denominator of 1/6 and w?
42
Let t(n) = n**3 - 8*n**2 + 14*n + 8. Let w be t(5). Suppose 0 = -0*k + w*k, -2*z = -k - 56. What is the smallest common multiple of 10 and z?
140
Let a be (-1)/(-2)*96/(-2676). Let n = a - -9163/1115. What is the common denominator of n and 47/11?
55
Let c = 1373521/530 + -12956/5. Find the common denominator of c and (8/(-280))/((-6)/(-1095)*-1).
742
Let x(v) = -v**2 + 38*v - 188. What is the least common multiple of x(32) and 392?
392
Suppose 0*j - 5*j = 0. Let w(b) = b + 10. Calculate the smallest common multiple of w(j) and 9.
90
Let o(a) = -4*a - 1. Let y be o(-1). What is the common denominator of -177*y/(-216) - 4 and 20?
24
Let v = 1/908 - -57655/2724. Calculate the common denominator of v and -53/6.
6
Let f(h) = -4*h + 10. Let p be f(-7). Suppose -2*u + 3*n = -24, 6*n - n + p = 3*u. What is the least common multiple of 60 and u?
60
Find the common denominator of (44/154 - (-14447)/(-3255)) + 4 and -43/27.
4185
Suppose c + 0*n = -3*n + 3, -5*c - 3*n = 21. Let k(a) = -a - 4. Let f be k(c). Suppose f*x - 36 = -14. Calculate the smallest common multiple of 7 and x.
77
Let d = -188853/2 + 96330. Let b = 1939 - d. What is the common denominator of b and -37/8?
8
Let j be (-2 + 1)/((-2)/10). Suppose 0 = -j*m - 4*h, m = -4*h - 0*h. What is the common denominator of 7 and (-76)/10 + m/4?
5
What is the common denominator of 83/44 and (-9)/270*-1*261/(-2)?
220
Let t = -26576/23 + 1156. Find the common denominator of t and -38/9.
207
What is the lowest common multiple of (-5610)/(-35) - 8/28 and 80?
160
Calculate the least common multiple of (-4)/(-32)*(41 + -1) and 7.
35
Let l = 264 - 263. Calculate the least common multiple of 5 and l.
5
Let c = 250 + -1271/5. What is the common denominator of 42/67 and c?
335
Let f be (-1)/3*-3 + 40. Calculate the common denominator of (-12)/(-10)*(f/(-4) + 7) and 502/72 - (-1)/(-4).
90
Let p = 1447/480 + -56/15. Calculate the common denominator of p and 43/20.
160
Let t(p) = p**2 - 7*p + 8. Calculate the least common multiple of 70/16 - 12/32 and t(6).
4
Suppose 3*c = 2 + 19. Suppose -4*h = -5*h - c. Find the common denominator of -85/6 and 31/h + 2 - 1.
42
Let l = 1/712 + 18863/3560. Let f be (-1)/1 - 0 - -16. Calculate the common denominator of l and (-6)/(-4)*455/f.
10
Calculate the common denominator of (103/(-176))/((-49)/28) and -37/44.
308
Let w = 76 + -31. Suppose 2*z - 5*z = w. Find the common denominator of -89/12 and (-6)/z - 582/(-220).
132
Let y(u) = -u + 4. Let r(z) = z**3 + 4*z**2 + 4*z + 2. Suppose 0 = 4*d - 3*d + 2. What is the lowest common multiple of r(d) and y(-14)?
18
Suppose 0 = 20*v - 16*v - 8. What is the common denominator of 85/4 and (v/(-5))/(160/(-2425))?
16
Let h = -5936/9 - -24173/36. Let c be (-11943)/(-822) - (-3 - 9/(-3)). Let y = 4/137 - c. Calculate the common denominator of h and y.
12
Let p = -12675 + 4539. Let i = p + 81257/10. What is the common denominator of 37/20 and i?
20
Let h be -1 + (222/187 - 0). Let t be (-6186)/(-2618)*(-66)/44. Let d = h + t. Find the common denominator of 91/4 and d.
28
What is the least common multiple of ((-60)/(-14))/(10/210) and 72?
360
Let g(p) = p + 5. Let r be g(0). Suppose 3 = -r*n + 3*m + 18, -4*n + 49 = 5*m. Calculate the smallest common multiple of n and 16.
48
Let m = 50033/2256 + -65/564. Let q = -1273/48 + m. What is the common denominator of 46/33 and q?
264
Let b = -20106355 + 47290147679/2352. Let i = b - -1/147. Let c = 4549/100 - -1/100. What is the common denominator of c and i?
16
Suppose -6*f - 1 + 43 = 0. Calculate the lowest common multiple of 63 and f.
63
Let a(m) = m**3 + 6*m**2 + 2. Let b be a(-6). Suppose b*i = -9 + 13. Calculate the lowest common multiple of i and 1.
2
Suppose 3*g + 2*g = -3*l + 48, -8 = g + 5*l. Suppose 2*q + 32 = -2*q. What is the lowest common multiple of ((-4)/8)/(2/q) and g?
12
Let v = -208 - -226. What is the lowest common multiple of v and 18?
18
What is the common denominator of (-455)/126*-4*(-6)/(-4) and 26/61?
183
Let j = 20527/60 + -1028/3. Find the common denominator of -113/340 and j.
340
Find the common denominator of 43/35 and (23/(-8))/(45/108).
70
Suppose 4*b + 41 = 3*w + 2*w, -4*b + 31 = 3*w. Calculate the lowest common multiple of 16 and 2 + (-3)/(w/(-768)).
2064
Let w be -3 - (-48 - -2)/2. Suppose 0 = b + b - w. What is the common denominator of -115/12 and 50/(-24)*b/(-25)?
12
Let m = 26539/10 - 2647. What is the common denominator of -41/15 and m?
30
Let d(q) = -q**3 + 5*q**2 - q + 1. Let n(r) = r**3 + 5*r**2 - r + 3. Let c be n(-5). Calculate the smallest common multiple of d(3) and (80/6)/(c/12).
80
Let j(o) = -o**3 + 45*o - 10. Calculate the smallest common multiple of 4 and j(-7).
36
Let r = 275723878132/4485 + -61476897. Let b = 2/10465 + r. What is the common denominator of -47/9 and b?
63
Let j(i) = -2*i**2 + 8*i - 7. Let d be j(6). Let u = d - -51. Calculate the lowest common multiple of 3/(-15) + (-427)/(-35) and u.
60
What is the common denominator of -1/49 and 642/(-13104) - (-24)/64?
1911
Suppose -3*g + 1301 + 5659 = 3*u, 5*g - 9281 = -4*u. Let f = 9331/4 - u. Find the common denominator of (-15)/14*(-21)/(-4) and f.
8
Let x = 5557 - 411225/74. Calculate the common denominator of x and 3/40.
1480
Let u = -206889 + 3930027/19. Let o = u + 22577/532. Find the common denominator of o and 2850/(-140)*2*(-56)/384.
112
Suppose 12*w - 39 = 93. Suppose 4*z - 7