. Let f = -385/2 - v. Calculate the common denominator of f and 53/16.
16
Let t be ((-5)/(-2))/(2/4). Suppose -2*o + o - t*n + 18 = 0, -3 = -n. Let v = -6 - -17. What is the smallest common multiple of v and o?
33
Let l = 865 + -6855/8. Find the common denominator of -14/67 and l.
536
Let p = -23/9382 - -38466361/65674. Let t be (1567/(-70))/((-108)/2790). Let s = p - t. Find the common denominator of 1/16 and s.
48
Let i(x) = 3*x**2 - 4*x + 1. What is the smallest common multiple of 16 and i(3)?
16
Let x(z) = 4*z**2 + 150*z + 50. What is the lowest common multiple of x(-38) and 27?
378
Let k(p) = p**3 - 3*p**2 - 3*p - 4. Let o be k(5). Let x = -45 + o. Calculate the smallest common multiple of (-1)/(2 - (-30)/x) and 2.
14
Suppose -23 = -3*s + 220. Let x = s + -53. Let h = 15 + 7. What is the lowest common multiple of h and x?
308
Find the common denominator of -1/12 and 40/4000*(-12)/2*1.
300
Suppose 22*b + 640 = 1718. Let p = -2437 + 1316. Let x = -2309/2 - p. Find the common denominator of b and x.
2
Let j = 599/3 - 1015/6. Find the common denominator of -11/96 and j.
96
Let i(r) = -15*r**2 + 88*r + 16. What is the smallest common multiple of i(6) and 1067?
4268
Let o be (-19545)/153 - (-4)/12. Let i = o + 35999/272. Find the common denominator of i and 7/52.
208
Let g(c) = -196*c. Let d be g(-2). Let z = 234 - d. Find the common denominator of z/(-16) + 4/(-8) and -1/5.
40
Let y = 3151/2340 - -2/585. Let z(l) = 66*l - 2. Let b be z(-2). Find the common denominator of (b/(-4))/(-11*1) and y.
220
Let i = -34709/6 - -6036. Let r = i + -242. Find the common denominator of -46/7 and r.
42
Find the common denominator of (-11544)/(-2880) + (-3)/(-15) and -37/8.
24
Let a be -230*(-1 + 7) - 12/6. Let y = -291242/219 - 2029/73. Let u = a - y. What is the common denominator of u and -63/10?
30
Let n be 8/(-1)*8/(16/(-7)). Let o = 38 - n. What is the least common multiple of 236 and o?
1180
Let h = 1/3304 - 7555/9912. Find the common denominator of 2/33 and h.
231
Let j be (-2)/(-4) - (13156/(-2388))/(-11). Let r = j + 18317/10746. What is the common denominator of r and 61/33?
297
Let m be (-11)/(-1)*(-3)/17. Let b = -1103/34 - m. Calculate the common denominator of b and (-2)/(-13) + 112/(-624)*-222.
2
Let u be (58/(-4))/(3/(-6)). Suppose 0 = 6*f - 83 + u. What is the smallest common multiple of 9 and f?
9
Let q = 246 + -230. What is the least common multiple of q and 124?
496
Let a = -5927/5665 - -222/103. What is the common denominator of 11/30 and a?
330
Suppose -3*p - 138 = -5*t, 3*t - p - 88 = -6. Let c = 36 - 3. Calculate the lowest common multiple of c and t.
297
Let f(q) = 2*q**2 + 22*q - 90. Calculate the least common multiple of 36 and f(-18).
324
Suppose 6*v - 55 = -19. What is the least common multiple of v and (4 - 16/6)*39?
156
Let y = 87 - 59. Suppose w = i - y, 4*w + 3 = -5. Calculate the lowest common multiple of 8 and i.
104
Suppose 4*m - 147 - 213 = 0. Let q be 0 + (1 - (0 + -1)). Suppose 2*n + q*u - 36 = 0, -u - m = -5*n + u. Calculate the smallest common multiple of 16 and n.
144
Calculate the lowest common multiple of (3 - (-50)/(-18)) + (-16812)/(-162) and 8.
104
Let z be (-12)/(-4)*4/6. Let p(s) = s - z + 3 + 4 + 2. Calculate the least common multiple of p(-5) and 5.
10
What is the common denominator of (13/260)/((-62)/(-24) + -2) and -8/49?
245
Let j = 479633/36 + -13325. Find the common denominator of j and -41/12.
36
Suppose 4*s + 26 = 3*g, -4*s - 4 = 4*g + 8. Let i be (-144)/(-27)*(-3)/g. Calculate the lowest common multiple of 22 and (-4)/16 + (-130)/i.
176
Suppose 2*q - 4*c = c - 28, 0 = -4*c + 16. Suppose 0 = -2*l + 2*v + 316, -2*l + 0*l - 5*v + 316 = 0. Calculate the common denominator of l/q + 0 + 3 and -39/16.
16
Let t = 1144 + -11397/10. Calculate the common denominator of t and 6/11.
110
Suppose 3*w = 4*k + 68, 2*w - 11 = -2*k + 11. What is the lowest common multiple of w and 32?
32
Let k be 49/(-4) - (-5)/20. Let h = -18 - k. Calculate the smallest common multiple of 40/h*(-12)/10 and 5.
40
Suppose -10*u = -5*u - 210. What is the lowest common multiple of u and 24?
168
Let h = 2/3307 - 406801/66140. What is the common denominator of h and (26/(-16) - 2) + 0?
40
Let x be ((1 - 0) + 4)/1. Suppose -z + x*z = -5*m + 52, 5*m - 25 = 5*z. Calculate the lowest common multiple of m and 4.
8
Let u = 1278 - 809. Let z = u + -865/2. Find the common denominator of z and -87/20.
20
Suppose -2*p - 5*o = 8, -17 = -5*p + 4*o - 4. Find the common denominator of ((-3)/(-90))/((-2)/(-165)*-3) and p/2*435/25.
60
Let c be 18/12*((-717)/(-9) + -1). Suppose -4*s + c = 30. Calculate the smallest common multiple of 18 and s.
198
Let t be (6/26)/(186/73415180193). Let u = -91085811 + t. Let d = u + -2/403. Calculate the common denominator of d and 23/18.
18
Let m = -30 - -42. Let j be (10 - m)/(16/(-50307)). Let k = j - 6301. Calculate the common denominator of 17/11 and k.
88
Let w = -6499/210 + 162/5. Calculate the common denominator of -34/35 and w.
210
Let r = 309 + -4113. Let j = r - -37957/10. Calculate the common denominator of j and -113/20.
20
Let t(r) = -469*r - 21. Let u be t(7). Let k = 19723/6 + u. Find the common denominator of k and -105/22.
66
Suppose 0 = -3*t - 3*c - 2*c - 6, 0 = 2*c. Calculate the common denominator of (-154)/t*4/16 and (1313/130)/(2/2).
20
Let y(g) = g**3 - 9*g**2 + g - 9. Let v be y(9). Suppose -5*b + 22 = 2*z, z - 3*z + 3*b + 38 = v. Calculate the least common multiple of z and 48.
48
Suppose 1 = -3*n + 4. Suppose -47 = -4*s + n. Suppose w - 4*w + s = 0. Calculate the smallest common multiple of w and 9.
36
Let o = -3031 - -3034. Suppose -5*w + 2*t = -194, 5*w - 145 = w + 5*t. Let b = 63 - w. Calculate the smallest common multiple of b and o.
69
Let r = -5 - 1. Suppose -43*o - 200 = -51*o. Let l = o + r. Find the common denominator of l and 83/8.
8
What is the least common multiple of 52/65*21/(-6)*-25 and 60?
420
Suppose 8*l = -43 + 155. Calculate the lowest common multiple of 818 and l.
5726
Find the common denominator of (302/(-10))/(108/(-30)) and 99/20.
180
Suppose 2*a + 0*a - 2 = -2*b, -3*a + 4*b + 10 = 0. Suppose 10*z = -a*z + 396. What is the smallest common multiple of z and 6?
66
Calculate the lowest common multiple of 20 and 3/(-9) - (-4)/((-24)/(-3446)).
5740
Let u = 8363 + -526910/63. Calculate the common denominator of u and -107/168.
504
What is the common denominator of (-1)/8*2828/(-35) and 92/(-20) - (-5)/(-20)?
20
Let u = 1/1240 + 62609/13640. What is the common denominator of u and (-4)/16 + 0 - 2?
44
Let t = -12997/21 + 1233/2. Find the common denominator of t and 67/30.
210
Calculate the least common multiple of (-82)/(-6) + (-13)/(-117)*-6 and 117.
117
Let n(p) = -p**3 - 2*p**2 - 4*p - 2. Let k = -6 + 4. Suppose -9*j + 0 = -108. What is the lowest common multiple of j and n(k)?
12
Let r(f) = 15*f - 5*f - 6 - 5*f. Suppose -2*g - 6 = -5*g. Calculate the smallest common multiple of 1 and r(g).
4
Suppose -j = 1542 + 798. What is the common denominator of (-4)/(-2)*43/(-4) and (-4)/(-200)*j/(-8)?
20
Let w = 629708337/1252 + -502962. What is the common denominator of 32/7 and w?
8764
Let h = 9 - -7. Suppose h = 3*q - q. What is the common denominator of 2/q + (15 - 0) and -107/10?
20
Let p be 1/(-2)*24/(-2). Let r = -3 + p. Suppose z + 4 = -3*q, r*q + 4 = 2*q. What is the least common multiple of z and 12?
24
Let a = 14096/7777 - -4/707. Find the common denominator of a and -149/36.
396
Suppose -4*l + n = -31, -31*l - 4 = -32*l - n. What is the least common multiple of 557 and l?
3899
Calculate the common denominator of 62/69 and (8/(-3))/((-6)/(-13)).
207
Let m = -955443 + 1362461815/1426. Calculate the common denominator of m and -19/22.
15686
Let z = -100 - -162. Let v = z + -58. Calculate the smallest common multiple of 7 and v.
28
Suppose -23*l + 18971 = -3155. What is the smallest common multiple of 2 and l?
962
Calculate the common denominator of -24/115 and -7*(-1)/7*(-42)/18.
345
Let x(k) = k**3 + 14*k**2 - k + 17. Let q be x(-14). Suppose -48 = -7*z + 3*z - 2*w, 3*z - q = w. Calculate the smallest common multiple of z and 3/2 - (-13)/2.
88
Let g = 51 + -31. What is the smallest common multiple of g and (-2 + (-28)/10)*350/(-105)?
80
Let o = -757/4 - -184. Let n = 19339/6