/(-105) + (1104/(-20))/(-1) and 64?
448
Let m be 1 - 3/((-3)/49463). Let d = m + -2176319/44. What is the common denominator of d and ((-713)/(-690))/(-1 + 10/6)?
220
Suppose -5*b - 2*z = -31, 3*b + 4*z = 13 + 14. Let s = b - 38. Find the common denominator of 44/9 and s/(-2) - (29 + -31).
18
Let i(g) = 3*g**2 + 70*g + 75. Let n be i(-27). Let o = -342 + n. Calculate the least common multiple of o and 9.
90
What is the lowest common multiple of (-3)/(2 - 70/32) and (27/((-270)/(-200)) - -15) + -17?
144
Let m = -140/149 - 2003/8493. Find the common denominator of 83/4 and m.
228
Let l = -402 - -775/2. Suppose 61*t = 66*t - 33555. Let z = t + -154323/23. Find the common denominator of z and l.
46
Let m = -9307/590040 + -2/14751. What is the common denominator of -47/682 and m?
13640
Let w(j) = 9*j**2 + 52*j + 80. What is the least common multiple of w(-8) and 120?
240
Let n = 6046/5 - 639655/529. Calculate the common denominator of n and -99/10.
5290
What is the lowest common multiple of 294 and 1170/(-4 - -7) - (9 + -11)?
1176
What is the least common multiple of 198 and (216/(-45))/(8/(-30))?
198
Suppose u - 6 = -4*x + 3*x, -18 = -3*u - 4*x. Let p(n) = -n**2 + 10*n - 26. Let r be p(u). What is the common denominator of r*3/30 - 344/(-45) and 50/11?
99
Suppose 5*d - 7 = 3. Let t(b) = -18*b + 63. Let a be t(6). Calculate the lowest common multiple of d and -10*(-18)/a + 15 + -2.
18
Suppose -5*i + 3 = -3*u, 3*u = 2*i - 7*i - 3. Suppose z + f + 11 = -26, z + 4*f + 46 = i. Calculate the common denominator of (10/28)/(420/(-9072)) and z.
7
Let w = -126106049/7631344866 + 3/1224149. What is the common denominator of 93/22 and w?
68574
Let r(b) = -b**2 - 14*b + 147. Let t be r(7). Suppose -31*x + 221 + 2879 = t. What is the smallest common multiple of x and 100?
100
Let w = 2/7165 + -61631/42990. Let q = -1/380 + -131/380. Calculate the common denominator of w and q.
570
Calculate the common denominator of (-45)/(-144)*102/(-40) and ((-335)/80 + 4)*(-79)/3.
64
Let m = 4/563 + 46721/1126. What is the common denominator of (140/(-1350))/(-4*(-3)/195) and m?
54
Suppose -2*x = o + 49194 + 7896, 3*o + 171272 = -5*x. Let m = 93577069/1639 + o. Let v = m + 178621/16390. Calculate the common denominator of 1/7 and v.
70
Let w = -4 - 59. What is the lowest common multiple of (-52)/(-9) + (-7)/(w/2) and 14?
42
Let u = 60/1051 + 69457/16816. Find the common denominator of u and 73/562.
4496
Suppose -6*q = -9*q + 9. Suppose l + 54 = j, -l = -q*l. Calculate the lowest common multiple of 33 and j.
594
Suppose 43885 = -16*s + 54*s + 29*s. Calculate the smallest common multiple of 786 and s.
3930
Let i(l) = l**3 - l**2 + 2. Let p be i(2). Let h = -394 - -429. Suppose p*u - u = h. Calculate the lowest common multiple of u and 4.
28
What is the common denominator of -1*3 - 624/(-171) and (148/(-66) - -2)/1?
627
Let i be (1/(2 + -4))/((-272)/(-306)). Let u be 694/8*(-2)/24. Let g = i - u. Calculate the common denominator of g and -2/9.
9
Let z = -819959 + 7336378/9. Let j(o) = 23*o**3 + 5*o**2 + o - 7. Let w be j(-6). Let a = z - w. What is the common denominator of -45/8 and a?
72
Let f be (-2)/(-5) - 249/(-15). Let j = -30 + f. Find the common denominator of -1/4 and (-25)/20*j - (1 + 1).
4
Calculate the common denominator of 44/399 and (264/176)/((-4)/16*63).
399
Let h = -116 + 126. Suppose h*q = -6*q - 96. Calculate the common denominator of -35/12 and (-194)/q*15/(-10).
12
Suppose -2*j = -18 + 46. Let d be (((-2004)/(-81))/(-2))/(j/(-3)). Let q = 10/9 - d. Calculate the common denominator of q and 125/12.
84
Let m(i) = -9*i + 12 + i**2 - 9*i**2 + 9*i**2. Let u(q) = 2*q**3 + 17*q**2 + 9*q + 26. What is the smallest common multiple of u(-8) and m(9)?
36
Let z = 372 - 7517/20. Find the common denominator of z and (-142)/68 + -18 + 17.
340
Let r be (2*-3)/(-2 + (-912)/(-232)). Let c = r - -43/42. What is the common denominator of c and -163/30?
60
Let s = 271865845/1357497192 + -2/1824593. What is the common denominator of s and -15/88?
8184
Let y = 38 - 36. Suppose -5*k + 2*m + 43 + 147 = 0, y*m - 98 = -3*k. What is the smallest common multiple of 22 and k?
396
Suppose -2*b + 114 = 5*d, 2*d + 5*b = 4*d - 34. Let z = 26 - d. Let j = 0 - -6. Calculate the least common multiple of z and j.
12
Let n = 19 + -291. Let m = 293 + n. Calculate the smallest common multiple of 49 and m.
147
Let l be 160682/21192*(-1 - 10)/(-11). Let d = l - -1/883. What is the common denominator of d and 209/80 + (-9)/(-45)?
48
Let m = -76492 - -306033/4. Let s = 733/15 - 111577/2310. Calculate the common denominator of s and m.
308
Suppose -3*s - 13 = -4*s - d, d + 23 = 2*s. Suppose o = v - 723, 0 = 5*o + 3*v + 1873 + 1718. Let m = o - -732. Calculate the least common multiple of s and m.
12
Let i(f) = 13*f**2 + f - 4. What is the least common multiple of i(-4) and ((-6384)/1330)/(18/(-30))?
200
Let n(c) = 66*c**3 + 3*c**2 + 10*c - 11. Suppose 3*a - 9*i - 44 = -7*i, 40 = 3*a - i. Calculate the lowest common multiple of a and n(1).
204
Suppose -8*k = 46 + 130. Find the common denominator of -3/14 and k/3 - (-4)/24.
42
Suppose 3*z - 14*t + 20 = -18*t, -5*z - 4 = 3*t. What is the least common multiple of 3867 and z?
15468
Calculate the common denominator of 3*(-7)/126 - 1124/(-336) and 1/1680.
1680
Let p(h) = 7857*h - 243. Let s(u) = 162*u - 5. Let i(t) = 5*p(t) - 243*s(t). Let o be i(1). Let v = -61 - o. What is the lowest common multiple of v and 10?
20
Let o be -6*(428/(-3) + 0/1). Let b = 31799/88452 + 10/1701. Find the common denominator of b and o/(-192)*(-4)/3.
468
Let g = 6 + -4. Suppose 1 = z - g, -4*z - 144 = -4*x. Suppose -34*d - 110 = -x*d. What is the smallest common multiple of 18 and d?
198
Let s(h) = h**2 - 127*h + 2644. Calculate the lowest common multiple of 996 and s(101).
2988
Let v = -176 - -316. Calculate the common denominator of (-7)/v*-4*82/6 and -17/33.
165
Let w be (-271)/2 + (-16)/(-32). What is the common denominator of 1/10 and (-3)/(w/177)*(-2)/(-40)?
300
Let f = -144 - -156. Suppose -992 = 2*q + 2*h, 3*q - 2*q - 5*h + 490 = 0. What is the common denominator of (q/f)/(1 + -7) and -109/24?
24
Let c = 488238 + -726498049/1488. What is the common denominator of c and 50/279?
4464
Let z(f) = 4*f + 9. Suppose 6*k + 8 = 4*k. Let x be z(k). What is the lowest common multiple of (0 + 2)*x/(-2) and 43?
301
Let x(y) = y**3 - 24*y**2 + 23*y + 2. Let r be (-1)/(-7) - (-320)/14. What is the least common multiple of x(r) and 35?
70
Let p = 528433/101346 - -1/7239. What is the common denominator of p and 173/252?
252
Find the common denominator of 121/18 and (4/235)/2*((-2129)/132 - -17).
9306
What is the common denominator of (57/(-30) + 14/35)*267/36 and -37/190?
760
Calculate the lowest common multiple of 1035 and (210/(-22 + 1))/(8/(-2484)).
3105
Let i = -10451/60 + 174. Find the common denominator of i and 19/540.
540
Let x = 1878/17 - 10102/153. Let f = x + -45. What is the common denominator of 1207/627 + -2 + (-38)/(-361) and f?
99
Let c(s) = -38*s + 65*s - 38*s + s**2 + 92. What is the lowest common multiple of 10 and c(11)?
460
Let a be (-19)/(-7)*(-18 + 25). Suppose 0 = 18*t - a*t + 12. Find the common denominator of -41/222 and t.
222
Let k(a) = 98*a**2 + a + 6. Suppose -18 + 32 = -2*d + 3*i, -4*d = -2*i + 4. Calculate the smallest common multiple of d and k(4).
1578
Suppose -4*u - 126 = -14. Let x(s) = s**3 + 74*s**2 + 344*s - 63. What is the smallest common multiple of u/(-6) - (-1)/3 and x(-69)?
30
Let l(a) = 2*a + 14. Let b be (-2)/11 - (-128)/(-22). Let t be l(b). Suppose -28 = -t*n - 0*n. Calculate the lowest common multiple of n and 16.
112
What is the lowest common multiple of 1125 and 25/((-21)/14805*-3)?
52875
Let o = -485 + 497. Let t(v) = -v**3 - 4*v**2 + 8*v - 13. Let x be t(-6). Let z = x - 3. Calculate the least common multiple of o and z.
24
Let l = -244977409/684 - -358154. Find the common denominator of l and 31/33.
7524
What is the common denominator of ((-516)/(-240) - 3) + 2/(-5) and ((-9)/56)/(30/260)?
28
Let a be (-1959789)/(-240) + -3 + 1. Let p = -8164 + a. Calculate the common denominator of 91/4 and p.
80
Let x = 2/19807 - -19477/3268155. Find the common denominator of (28/324)/(2/(-12)) and x.
1485
Let h(g) = -4*g**2 - 98*g - 52. What is