 Let u = v - 31661/72080. Find the common denominator of u and 5/18.
720
Suppose 14 = -w - 5*t, -2*t = 3*w + 3*t - 8. What is the lowest common multiple of w and 8/(-10) - (72/(-240))/(42/5012)?
385
Let x = 389044/284902325 - 14/52075. Let l = x + -235517/240724. Calculate the common denominator of -91/72 and l.
792
Let f(d) = 38*d + 453. Calculate the smallest common multiple of 154 and f(-11).
770
Suppose -4*c = -7*c + 6. Suppose -5*g + g - c*r = -24, -2 = r. What is the lowest common multiple of 21 and g?
21
Let u = -2369909/270 - -63848/27. Let f = 6406 + u. What is the common denominator of -63/25 and f?
50
Let h(c) = 60*c**2 + 35*c + 737. Calculate the smallest common multiple of 24 and h(-10).
51096
Let u(w) = -35*w + 1115. What is the smallest common multiple of 405 and u(19)?
4050
Let j = 2938 + -2917. Calculate the smallest common multiple of 114 and j.
798
Let k = 18 - 11. Calculate the lowest common multiple of k and (-42 + 27)*28/(-6).
70
Suppose -612*m = -618*m + 528. Calculate the lowest common multiple of m and 108.
2376
Let u = 316 - 311. Suppose -u*g = -5*f + 4*f - 15, 0 = 2*g - 5*f + 17. What is the lowest common multiple of 16 and g?
16
Let v(w) = -19*w - 273. Let i be v(-12). Calculate the common denominator of -48/91 and 48/(-16) - i/(-78).
182
Let f = 1058 - 6487/6. Let v be (-19886)/(-30968) + ((-21)/12)/(-7). Let n = 60/79 - v. What is the common denominator of f and n?
294
Let q = -341 - -344. What is the common denominator of -23 and 333/(-393) - (-4 + q)?
131
Let o = 13/15213 + -543481/1034484. Calculate the common denominator of o and -73/1326.
2652
Let h = -126/659 + 84469/31632. Let x = -15379 - -553745/36. Calculate the common denominator of x and h.
144
What is the common denominator of 115/2088 and ((-58)/(-24) - 1)*2/(-392)*-14?
14616
Suppose -35*l + 0*l = -11970. Let n = l + -279. What is the smallest common multiple of 11 and n?
693
Let x(d) = -203*d**3 + 2*d**2 + 8*d + 9. Let k be x(-2). Calculate the common denominator of k/(-1248) - 6/(-16) and 57/8.
96
Let u(z) = 24*z - 162. Let g be u(9). Suppose 490*l = 492*l - g. What is the least common multiple of l and 54?
54
Suppose 2*b + 3*j + 50 = 0, 2*b - 4*j = -9*j - 42. Let l = 1 - b. What is the smallest common multiple of l and (32/(-9))/((-19)/(-1197)*-7)?
32
What is the smallest common multiple of 35 and 7/((38/95)/(2 + (-148)/(-5)))?
2765
Let i = 104 + -80. Suppose -2*w - a = -4*w + 11, 3*w - i = 3*a. What is the lowest common multiple of 2 and 2/(-2) + 28 + w + -3?
54
Let k = 399641 + -224598177/562. Let s = -2/1623 - 105487/6492. Calculate the common denominator of s and k.
1124
Suppose -c + 3*b - 46 = -3*c, 5*b = -4*c + 88. Suppose 15*q - c*q = 44. What is the smallest common multiple of (-4)/q + 53/11 + 1 and 11?
66
Suppose 25*p = -234 + 34. What is the common denominator of ((-86)/4)/(4 - 2) and ((-3)/21)/(p/(-28))*53?
4
Let u = 397/5 + -431/5. Let l = -355/294 + 2/49. Find the common denominator of l and u.
30
Let b = -3375/9073 + -54/211. Let s = b + 641/473. Find the common denominator of 16/167 and s.
1837
Suppose -4*b + 3*y + 441 = -539, -5*b + 1198 = 3*y. Calculate the smallest common multiple of b and 88.
968
Let p = -24149/154 + 1084/7. What is the common denominator of p and (-2)/(96/(-430)) - (-3585)/2151?
88
Suppose 0 = 4*f - q - 13428, -302*q = -5*f - 298*q + 16785. What is the lowest common multiple of 2238 and f?
6714
Let o = 112482/11 - 10224. Calculate the common denominator of 39/422 and o.
4642
Let i = -123/40 + 35/8. Let w = -22/59 - -1812/4543. Let z = w + -3623/154. Calculate the common denominator of i and z.
10
Suppose -73 + 13 = -12*v. Suppose -4*w = z + 19, 3*w = v*w + z + 9. Let m(u) = 3*u + 23. Calculate the least common multiple of 11 and m(w).
88
Let h(j) = 2*j**2 + 2*j + 3. Calculate the lowest common multiple of h(-2) and 288 - (-27)/((-702)/598).
1855
Suppose 0 = u - 3, 52 = o + 3*u - 190. Find the common denominator of (-1)/(-3 - (-655)/o) + -6 and 85/224.
2464
Let f(a) be the second derivative of 5*a**3/6 - 25*a**2/2 + 2*a + 1. What is the least common multiple of 40 and f(8)?
120
Let w(m) = 10*m + 8 + 10*m - 7*m - m**2. What is the least common multiple of 55 and w(12)?
220
Let f = -41857 + 4185611/100. Find the common denominator of -21/100 and f.
100
Suppose -4*b + 3 = -2*x + 1, -2 = 5*b - 4*x. Let j(z) = 33*z - 133. Let a be -3 + 7 - 5/(-5). What is the least common multiple of j(a) and b?
32
Suppose 2*b = -n + 890, 0 = 3*n - 4*b + 320 - 3040. Calculate the lowest common multiple of 320 and n.
14400
Let s(k) = k**2 - 15*k + 41. Let j be s(11). What is the least common multiple of 259 and 4/(-3)*j + (12 - 13)?
777
Find the common denominator of (11 + -11)/(6/(-3)) - 118/4 and -31/3611.
7222
Let j be (-26)/117 - 1696/(-18). Suppose 0 = -5*k + 4*o + 328, 0 = -4*k + 38*o - 43*o + 246. Let r = j - k. Calculate the smallest common multiple of 9 and r.
90
Let n = 544432 + -248261105/456. Calculate the common denominator of -93/1520 and n.
4560
What is the lowest common multiple of 7 and (117/6 - 2)*-80*9/(-105)?
840
Calculate the common denominator of (6/9)/((14535/(-300))/(-57)) and 97/8*(-4)/(-12).
408
Suppose -6*z + 25 = -11. What is the common denominator of (z - 52/(-8))*6/(-2) and ((-75)/(-99))/(4/6)?
22
Suppose 996 - 204 = 6*n. Suppose 5*v - n = -3*z, -4*v + 3*z + 111 = -0*v. Let x = 39 - v. What is the lowest common multiple of 15 and x?
60
What is the common denominator of 53/264 and (146/(-240))/((-143)/26)?
1320
Let y = -2897508581/2184 - -1326698. Calculate the common denominator of y and 107/312.
2184
Let q(p) = 9*p - 11. Let r be q(0). Calculate the common denominator of -115*(66/(-1044))/r and 71/33.
1914
Let o = -59023/14 - -4220. What is the common denominator of 61/74 and o?
518
Suppose 5*b - 2*v = 35, -4*b + 2*v + 35 = 5. What is the common denominator of 25/66 and (3/b)/(558/16430)?
66
Let z = -74423 - -74593. Calculate the smallest common multiple of z and (25/(-2))/(2/(-8)).
850
Suppose 0 = -12*c + 519 + 393. Let r = 217 + -199. What is the smallest common multiple of r and c?
684
Let f = -33 + 30. Let i be 2 - f*(0 + 1). Calculate the common denominator of -87/4 and i/4 + -1 - (-223)/(-52).
52
Let u(w) = -191*w + 673. What is the smallest common multiple of u(-17) and 35?
3920
Let v(f) = -f**3 - 11*f**2 - 14*f - 8. Let z be v(-10). Let c = -28 + z. What is the lowest common multiple of c and 367?
1468
What is the lowest common multiple of (-12)/2*1 + 10 and 0 + 12/(-18) + 113/3?
148
Let b be ((-5)/3 + 3)/((-16)/72). Let z = -386 - -751/2. What is the common denominator of z and (243/(-864))/(9/b)?
16
Let u be 1 + 4 + 354/2338*-33. Let d = -43361/31563 + u. Find the common denominator of 49/24 and d.
216
What is the smallest common multiple of 113 and (1053/3861)/(6/22)?
113
Calculate the smallest common multiple of (103 + 23)/((-21)/(-28)) and 36.
504
Let k(w) = -5*w + 3. Let c be k(0). Suppose 5*p = 3*b + 78, c*p - 17 = -b + 41. What is the lowest common multiple of 16 and p?
144
Let v(j) = -4*j - 5. Let l(b) = 20*b + 24. Let q(u) = -3*l(u) - 16*v(u). Let c(n) = -n**2 + 5*n. What is the least common multiple of c(3) and q(3)?
60
Let d = -273652/15 + 18247. Calculate the common denominator of 79/2196 and d.
10980
Suppose -4*b + 72 = -b. Let l = b + -18. Suppose l*r = 3*r + 66. What is the smallest common multiple of r and 8?
88
Suppose 4*o - 4 = 0, 13*o - 15*o = 4*f - 2258. What is the lowest common multiple of 658 and f?
3948
Calculate the common denominator of 46/1701 and (97818/(-486))/17 + (-72)/(-6).
1701
Let o = 26162/9 - 174427/60. What is the common denominator of 11/270 and o?
540
Let u = -1/1720 + -171/1720. Find the common denominator of 125/18 and u.
90
Suppose -h - 1164 = -4*g, 19*g - 4 = 18*g. What is the least common multiple of 33/(-44) + h/(-16) and 9?
639
Suppose 14*m - 18 = 150. Let x(t) = 8*t - 84. Calculate the smallest common multiple of x(m) and 30.
60
Let t be (-55)/4*(-34 + 26). What is the common denominator of (-88)/t + (-4 - -1) and (-28)/42 - (-164)/18?
45
Let m = 457051/76470 + -26/2549. Find the common denominator of m and 7/526.
7890
Suppose 2*o - 187 = -2*p + 7*p, -276 = -3*o + 3*p. Suppose 14*i - i = -o. Calculate the smallest common multiple of 4 and (-3 +