What is the common denominator of 0 + 8 + 43330/3528 + -20 and -99/56?
504
Let a(i) = -i**3 + 3*i**2 + 4*i + 5. Let s be a(4). Let j = -1802 - -1807. Suppose 0 = s*f + j*f - 80. What is the smallest common multiple of f and 4?
8
Let s = 170 + -166. Suppose s*m = 3*g + 155, 0*m = -3*m - 4*g + 110. What is the least common multiple of m and 8?
152
Let n be ((-16860)/(-25))/(18/20). Let h = 1527/2 - n. Calculate the common denominator of h and 24/11.
66
Let p = -12817 - -14974. Calculate the smallest common multiple of 66 and p.
47454
Calculate the common denominator of (-1)/552*-359 - (-1796)/(-2694) and 61/414.
1656
Calculate the common denominator of 18/11 and 77500/9240 + 55/(-5) - (-1 - 2).
462
Let a(f) = -4*f**3 - 2*f**2 + 7*f + 3. Let o(m) = -5*m**3 - 3*m**2 + 7*m + 3. Let v(p) = 4*a(p) - 3*o(p). Calculate the lowest common multiple of v(-3) and 9.
18
Suppose 133578 = 267*b - 264*b. Let g = b - 9305881/209. What is the common denominator of g and 45/209?
209
Let h = 1042863/146 + -7143. What is the common denominator of h and 25/8?
584
Suppose 0 = -n - 2 + 3. Suppose -5 = -2*x - 5*p + 2, -2*p = 4*x - 6. What is the smallest common multiple of 2*n/x - 50/(-5) and 24?
24
Let l = -17880 + 17884. What is the lowest common multiple of l and 152?
152
Calculate the lowest common multiple of (-1 + 23)/((-143)/(-429)) and 462.
462
Let v = -77068117/846 + 91097. Find the common denominator of v and -71/18.
846
Let a(k) = 96*k**2 - 90*k + 334. What is the least common multiple of 906 and a(4)?
4530
Let z = 1994 + -18020/9. What is the common denominator of 11/17 - (1 - 0) and z?
153
Let c = 324 + -130. Calculate the common denominator of ((-140)/44 - -3)/((-2)/5) and (c/6)/(2/3).
22
Let g(b) = b**2 - 9*b + 2. Let f be g(7). Let w be 7/((-378)/f) - (-284)/18. Suppose -2*h - 6*h + w = 0. What is the least common multiple of h and 20?
20
What is the common denominator of 2482/(-1679)*6/(-32) and 33/92?
184
Let u(s) = -3*s - 3. Suppose 7*q - 10*q = 0, 0 = 3*h + 4*q + 3. Let k(x) = -5*x**3 - 3*x**2 - 3*x - 1. Calculate the least common multiple of u(-4) and k(h).
36
Suppose 5*j + a = 226, j - a - 22 = 22. Calculate the smallest common multiple of 18 and 801/6 - j/(-18).
1224
Calculate the least common multiple of 264 and 138*3/6 + 6*(-3)/6.
264
Suppose -4*f = -106 - 54. Suppose 0*c = c - 63. Let k = -19 + c. What is the least common multiple of f and k?
440
Let g(u) = -2*u**2 + 186*u + 388. Let o be 2/(-6) - (-2)/6. Suppose 0 = -o*a + a - 21. Calculate the least common multiple of g(95) and a.
168
Let c(r) = -r**3 - 33*r**2 - 97*r - 204. What is the smallest common multiple of 54 and c(-30)?
54
Calculate the common denominator of 6/39 - (1891/208 - 11) and (-10)/(-65) - (-1698)/(-2080).
80
Suppose -3*m + 47 = -4*q, 56 = 8*m - 4*m - 2*q. Suppose -3*d = -20 - m. Let z = 8 - 0. Calculate the smallest common multiple of d and z.
88
Let x = -545803/55 - -9924. Calculate the common denominator of x and -127/270.
2970
Suppose -95445 = -81*u - 29349. What is the least common multiple of 36 and u?
2448
Let z be (-1)/(2*2/(-24)). Suppose z*m - 282 = -0*m. Let g = m + -39. Calculate the lowest common multiple of g and 8.
8
Let o(k) = 4 - 21*k - 42 + 40*k - 21*k. Calculate the least common multiple of 13 and o(-20).
26
What is the common denominator of (-2)/(-23) + (-41041)/439438 and 20/2563?
5126
Let k(f) = -265*f - 33. What is the least common multiple of 116 and k(-1)?
232
Let p = 52622 + -29678671/564. Calculate the common denominator of p and 35/12.
564
Suppose -497*f + 493*f - y = -2918, -2186 = -3*f - 2*y. Calculate the least common multiple of 45 and f.
6570
Let c = -125786 - -16603853/132. Find the common denominator of c and 145/264.
264
Let o = -85469/43656 + -1/1819. Let w be 6*10/(-60) - (-1009454)/124872. Let d = 3/5203 - w. Calculate the common denominator of o and d.
24
Let f = -22341595891/66 + 338501787. Let w = -7242 - f. What is the common denominator of w and 167/30?
330
Suppose 28374 + 30111 - 15505 = 35*k. What is the least common multiple of 2456 and k?
2456
What is the smallest common multiple of (2220/296)/((-6)/(-180)) and 2025?
2025
Suppose -2*k + 2 = 0, -2*v + 3*k + 87 = 3*v. Let q(y) = 5*y**2 + 632*y + 276. Calculate the lowest common multiple of v and q(-126).
72
Suppose 36652 = -331*s + 365*s. What is the smallest common multiple of 140 and s?
10780
Let v = 1587 + -104723/66. Calculate the common denominator of v and ((405/18)/15)/(189/285).
462
Suppose -4*c + 9584 = 4*z, -2*c + 0*z = 3*z - 4795. What is the common denominator of 11/6 and (92/(-20) - -4) + c/3080?
1848
Let t = 179221/12 + -14923. Let r = 10226 - 14514. Calculate the common denominator of r/3168*6/4 and t.
132
Suppose 28*a - 14*a - 224 = 0. Suppose 355 - 3 = a*l. Calculate the least common multiple of l and -1*(-12 - (1 - 2)).
22
Suppose 0 = -3*i - 0*k + k + 75, i + 3*k = 15. Let j = i + -35. Calculate the smallest common multiple of 1/(21/j - -2) and 10.
110
Let f = -9 - 3. Let b be (38/(-3))/(4 - (-54)/f). Let x = b + -139/12. What is the common denominator of -42/23 and x?
92
Suppose 3*s + i = -136, 8*s - 3*s = 4*i - 204. Let n = 1627/77 - 168/11. Calculate the common denominator of (-626)/(-144) + s/198 and n.
56
Let r = 361 + -385. What is the common denominator of 11/2 and ((-3)/234)/(r/(-1548))?
52
Let w = 71615/12 - 5979. Let g be (-3 + (-39011)/(-35))*(-50)/48. Let c = 1155 + g. Find the common denominator of c and w.
12
Let z(b) = 77*b + 35. Let w be z(6). Suppose 87 = -41*i + w. What is the least common multiple of i and 36?
180
Let g = 5327/2 - 543295/204. Find the common denominator of 35/102 and g.
204
Let l = 12507/56 + -1566/7. Find the common denominator of l and -109/1334.
5336
Let z = 115853 - 76115407/657. What is the common denominator of z and 107/24?
5256
Suppose -12118 = -4*b + 14314. Let f be 274/(-261)*b/(-1024). Let p = -3/928 - f. Find the common denominator of p and 61/3.
9
Suppose 9*x = -20*x + 19488. Calculate the lowest common multiple of 24 and x.
672
Let k = -429925/132 - -35916/11. Calculate the common denominator of k and -67/2264.
6792
Suppose -80*o + 75*o = -60. What is the lowest common multiple of 627 and o?
2508
Let c(w) = -35*w - 42. Let q be c(-2). Suppose -5 = 4*r - 21. What is the lowest common multiple of r and 30 - q - 28/(-2)?
16
Suppose 4*x - 15331 = -5*a, -2*a = -17*x + 19*x - 7662. Calculate the lowest common multiple of 36 and x.
34416
Let g be ((-96)/(-36))/((-6)/9) - -4102. Let r = 65859855 + -3029364751/46. Let n = g - r. What is the common denominator of n and 85/18?
414
Let i(s) = s**3 + 4*s**2 - 47*s - 20. Let p be i(-9). Let k = 7 + 1. Find the common denominator of -103/20 and ((-35)/8 - p/k) + -1.
40
Calculate the smallest common multiple of 456 and (-2 - 14/4)/(5/(-10)).
5016
Let h = -1643011/84 - -19559. What is the common denominator of (2 + (-9)/4)/(663/2703) and h?
1092
Find the common denominator of 2/18 + 3/(-1) and ((-3)/9)/((-3)/46).
9
What is the common denominator of 2846/(-260) - (-72 - -62) and 71/10?
130
Let i = 8453077/59953545 - 2/196569. Find the common denominator of -139/30 and i.
1830
Let r = -6576 - -7208. Calculate the least common multiple of 50 and r.
15800
Suppose -3*j + 343 = -5*i + 3285, 2*j = -3*i - 1974. Calculate the common denominator of 5 - (-5 - 9378/j) and 97/14.
1148
Let g(p) = 19*p - 74. Let n be g(-6). Let u = -178 - n. Calculate the least common multiple of 26 and u.
130
Let h = -211/18 + 647/54. What is the common denominator of -79/192 and h?
1728
Let q be -1 + (0 - 0)/(-1). What is the lowest common multiple of 19 + q*(-3 + 0) and (-19)/(-1) - 36/(-12)?
22
Let m = 473/2 + -233. Let t(d) = -150*d + 36. Let q be t(-7). Let p = 7624/7 - q. What is the common denominator of m and p?
14
Suppose -311*c - 1122 = -317*c. Let m = -1299/7 + c. What is the common denominator of m and 45/86?
602
Let h(v) = v + 8. Suppose 3*f = 15, 0*o + 3*o + 17 = -2*f. Let w be h(o). Find the common denominator of 46/3 and (-2)/2 + (w - (-258)/63).
21
Let q = 15 + -9. Let x(u) = u + 24. Suppose -9 = 2*m + 19. What is the lowest common multiple of q and x(m)?
30
Suppose 4*q - 11 = 21. Suppose -i + q = -2. Suppose -26*r + 557 + 93 = 0. What is the least common multiple of r and i?
50
Let d = 3