5882. Let l = r - -2127234421/588. Let d = 3/98 - l. Find the common denominator of d and 85/4.
12
Suppose 2*n + 884 = 3*t + 4220, n = 3*t + 1671. Calculate the smallest common multiple of n and 33.
18315
Suppose -2*x - 47 = -3*s, -5*x + 2*x + 3*s = 69. Let f be 6/(-33) + (-114)/x. Suppose -f*h + h + 20 = 0. Calculate the least common multiple of h and 1.
5
Let d = 35405 - 1699439/48. What is the common denominator of d and 1/24*(-1 + 68)?
48
Suppose -3*d + 75 = f, 7*d = 3*f + 9*d - 267. Calculate the smallest common multiple of 468 and f.
14508
Suppose 5*p - 5*u + 4*u = 110, p = u + 22. Let i = 6 - p. Calculate the common denominator of -28/11 and 4/16 + 34/i.
88
Let n = 456504 - 480242127/1052. What is the common denominator of n and 22/1841?
7364
Suppose -1427*r = -1435*r + 704. Calculate the lowest common multiple of 66 and r.
264
Let z(c) = -33*c. Calculate the lowest common multiple of z(-1) and (-7 - -10 - 4)*42/(2 - 9).
66
Suppose -40*p - 204*p + 24111 = 179*p. Calculate the lowest common multiple of 2064 and p.
39216
Let r = 34 + -32. Suppose r*o + 0*o - 3 = -f, -o = -3*f - 5. Suppose -a + o + 8 = 0. Calculate the smallest common multiple of a and 18.
90
Let k(u) = -160*u**3 - 4*u**2 + 16*u + 22. What is the smallest common multiple of 3294 and k(-1)?
9882
Let p = 2275 + -34076/15. What is the common denominator of p and 29/121?
1815
Let h = 14849/3 + -9887/2. Suppose 7*q = 6*q + 1. What is the common denominator of 0 - (525/108 - q) and h?
36
What is the common denominator of 6/(-4)*9/(-39) and ((-15)/(-20))/((-170)/(-40))*(-5)/12?
884
Let c = -558/29 + 7593/580. Find the common denominator of c and 36/192*12/9 + (-6)/(-10).
20
Suppose g + 3*p = 98, 3*g - p + 196 = 5*g. Let h(b) = b**3 - 2*b**2 + 2*b - 9. Calculate the least common multiple of h(3) and g.
294
Let o be (-4)/(-12) + (-50)/6. Let d be (51/12 - -2) + 2/o. Suppose -d*k + 7*k = 24. Calculate the least common multiple of k and 7.
168
Let b be 2/10 - (-412062)/(-35). Let o be (2/72)/(6/(-2542545)). Let a = o - b. What is the common denominator of -41/9 and a?
72
Let w = 7331 - 5180. Calculate the least common multiple of 1673 and w.
15057
Let u = -2831/469 + 816/67. What is the common denominator of -10/6901 and u?
48307
Let h be (-28764)/27 + 1/3. Let a = -1755803/6 + 293706. Let n = h + a. What is the common denominator of n and -55/8?
24
Let w = 2 + -37. Let m = -3/2905 + -258527/17430. What is the common denominator of ((-166)/(-20))/((-84)/w) and m?
24
Suppose 3*r - 4*f - 11960 = -0*r, -2*r + 7970 = -f. What is the least common multiple of r and 16?
3984
Suppose -5*d - 30 = -5. Let r(v) = v + 1. Let a(f) = 3*f**2 - 17*f + 1. Let c(p) = d*r(p) - a(p). What is the least common multiple of c(3) and 4?
12
Suppose 2*q = -x + 3, 6*x - 2*q + 21 = x. Calculate the common denominator of -89/10 and (-7302)/(-1080) + -4 + x.
180
What is the common denominator of ((-638)/4788)/((-13)/(-507)) - (-50)/10 and 5/14?
798
Let h = -79 - -44. What is the smallest common multiple of (-7)/h + (-18)/(-10) and 5?
10
Suppose -373*p - 20355 = -494811. What is the smallest common multiple of 2226 and p?
8904
Calculate the common denominator of ((-655)/40*2)/((-234)/(-156)) and 65/3 - (-1)/(-2).
6
Suppose -15 = z - 13. Let r(q) = -29*q - 22. Calculate the smallest common multiple of 54 and r(z).
108
Let x(n) = -3*n**3 - n**2 + 13. Let p be x(3). Let b = p + 77. Find the common denominator of 10/13 and (b - (-3)/(-6))/((-1)/27).
26
Suppose -z + 4*s = -0*z - 10, -5*z + s = -31. Let h be z/(-2*5/15). Calculate the smallest common multiple of 2 and 13 + -1 - (h + 8).
26
Calculate the lowest common multiple of 104 and (-5)/(-4) - (6/4 - 747/332).
104
Let l = 5388 - 5358. Suppose p + 2*h - 15 = -3*h, 3*p = 2*h + 11. Suppose -7*s + 66 = -p*s. Calculate the lowest common multiple of s and l.
330
Let a = 4091 + -81723/20. Find the common denominator of 117/1190 and a.
2380
Let j = 41866 - 35626. What is the lowest common multiple of 48 and j?
6240
Let i(q) = -q**3 + 20*q**2 + 26*q - 83. Let d(n) = n**2 + 18*n + 14. What is the smallest common multiple of i(21) and d(-18)?
154
Let u = 2462 - 1361460/553. Calculate the common denominator of u and -45/79.
553
Suppose 16*q = -0*q + 1440. Suppose 196*m - q = 193*m. What is the smallest common multiple of 40 and m?
120
Let r = -4970 + 5264. Calculate the least common multiple of 2744 and r.
8232
Let p = 83538 - 2255458/27. What is the common denominator of p and -1 + 8*34/90?
135
Suppose 40*s - 237 = -117. Let v = 10 - 6. Suppose 3*d + s*n = d + 12, 0 = -5*d + v*n + 53. Calculate the smallest common multiple of 9 and d.
9
Find the common denominator of ((-22)/864)/(10 - 2431/242) and 71/288.
864
Let i = 52016 + -205379/4. Let w = i - 692. What is the common denominator of w and 47/4?
4
Let l be (-11)/(-2)*(-60)/(-5). Suppose 27*i - l = 24*i. What is the smallest common multiple of i and 40?
440
Calculate the common denominator of (((-2516)/170)/37)/((-18)/(-100)) and 29/(-12)*(-2)/(-9).
54
Let t be -5 + 2/1 + (-1)/(-1). Let w be t/(-6) + 15*(-2)/(-18). Find the common denominator of (-4)/w - (-2 + 76/264) and -17/2.
66
Suppose -x + 6*x = 2*w + 2, -53 = -5*w - 2*x. Suppose w*k - 17 = 5*k + s, -5*k - 3*s = 0. What is the smallest common multiple of 11 and k?
33
Suppose 2*i = -2*i + 80. Let h = -12 + -11. Let u = h + 27. What is the least common multiple of i and u?
20
Let s be 24/(-69)*9/((-756)/30). Let b = s - 13403/322. Calculate the common denominator of 3095/2030 + (-2)/(-7) and b.
58
Let b = 222 - 220. Calculate the least common multiple of (1/b)/(1/100) and 20.
100
Let z = -4148 - -182497/44. Let n = -301/44 - z. What is the common denominator of -5/118 and n?
118
What is the common denominator of (-1 - 33/(-22))/((74/(-89))/2) and 83/148?
148
What is the smallest common multiple of 9 and 19 + 11/66*-78?
18
Let s = -710 + 702. Let q = -6 - -4. What is the common denominator of -40/27 and s/q - (411/72 + -2)?
216
Let f be 3566529/480 + (-2)/(-10). Let t be 14867/5*(-2)/(32/40). Let g = t + f. Find the common denominator of g and -51/8.
32
Let w = 8281 + -8251. Calculate the least common multiple of w and 2490.
2490
Let w = 13 + -8. Let i(h) = h**3 - 32*h**2 + 113*h - 21. Calculate the lowest common multiple of w and i(28).
35
Suppose 2*y - 4*d + 3*d = 35774, -5*d = -20. Let w = 679727/38 - y. What is the common denominator of w and 51/5?
190
Suppose -4*g - 3*a + 114 = 0, 5*g - 207 + 67 = -5*a. Suppose -w + 2 = 4*b, -w + 76 = 2*w - 2*b. What is the least common multiple of g and w?
330
Suppose -16*w = -629 - 443. Let j = 70 - w. What is the least common multiple of j and 8?
24
Let m(r) = r**2 + 14*r - 12. Calculate the smallest common multiple of 3 - 21/9 - 68/(-6) and m(1).
12
Let n = 215 - 153. Find the common denominator of n/(-72)*(-21)/(-14) and -71/21.
168
Let k = 3 + 1. Suppose 445*t - 64 = 443*t - 2*a, -2*a - 206 = -7*t. What is the smallest common multiple of k and t?
60
Suppose -5*u + g + 54 = 0, -u + 1 + 13 = -g. Suppose -32*c = 8323 + 5277. Let t = 447 + c. What is the lowest common multiple of t and u?
110
Let s(j) = -j**2 + 9*j + 9. Let h(u) = 3*u**2 - 12*u - 56. Let p be h(11). Let f = p + -168. What is the lowest common multiple of f and s(9)?
63
Let x(l) = l**3 + 8*l**2 + 3*l + 6. Let v = 1321 + -1301. Calculate the smallest common multiple of x(-7) and v.
340
Let i(a) = -63*a - 6. Let g be i(-1). Let j = 84 - g. Let t(b) = -2*b - 3. Calculate the least common multiple of j and t(-4).
135
Find the common denominator of 71/376 and (944/295)/(4 + -51).
1880
Let t = -644315/4446 + 1884/13. Let i = t + -4192/855. Let c = 25229/10 - 2519. What is the common denominator of c and i?
10
Find the common denominator of -39/11 and 618/(-1161) - ((-15)/(-20) - 102/72).
4257
Suppose -5*j + 5*b + 180 = 0, 3*j + 2657*b - 2655*b - 113 = 0. Calculate the lowest common multiple of ((-6)/(-5)*2)/(12/40) and j.
296
Let b = -15956815/138 + 115630. Find the common denominator of 39/1541 and b.
9246
What is the smallest common multiple of (5 + -5 - (-1067440)/336) + 2/21 and 9?
3177
Suppose 3*m - 40 = 152. Let p(d) = d**3 - 6*d**2 + 5. Let z be p(6). Suppose z*a + 14 - m = 0. What is the smallest common multiple of a and 11?
110
Let x = 127/106 - 59833/52682. 