*n - 7734 = -5*c, -2*n + 11071 = 5*c + 3313. What is the smallest common multiple of c and 15?
4650
Suppose -5*z = x + 1363, 3*x + 540 = -30*z + 28*z. Let p = z - -323. What is the least common multiple of p and 5?
50
Let u = 21677/19446 + 2/463. Calculate the common denominator of 55/194 and u.
4074
Suppose 0 = -7*r - 25*r + 160. Suppose -25 + 62 = 2*t + r*i, -2*i = -2. What is the lowest common multiple of t and 6?
48
Let y(x) = -x**3 - 17*x**2 - 21*x + 9. Let t be y(-16). Let i = t - 53. Suppose -3*b + i = -0*b. What is the smallest common multiple of 6 and b?
12
Calculate the smallest common multiple of 2040 and -1 + -9 + (75/(-15) - -135).
2040
Suppose -1778 = -3*n + 2*x, -n + 102*x + 586 = 103*x. What is the lowest common multiple of 59 and n?
590
Let b = -542 - -1144. Let q = -5404/9 + b. Find the common denominator of -29/9 and q.
9
Let a(p) = 626*p**3 + 3*p**2 + 65*p - 64. Calculate the lowest common multiple of 504 and a(1).
2520
Let h(m) = m**3 - 7*m**2 + 8*m - 18. Suppose -16*o - 28 = -20*o. Let a be h(o). Let b = a + -32. What is the lowest common multiple of b and 18?
18
Let q = 10 - 8. Let w(i) = 55*i - 196. Calculate the least common multiple of w(4) and (-1 - (-105)/6)*q.
264
Let b = 804 + -74. Calculate the least common multiple of b and 15.
2190
Let i = -31939/5 - -1532617/240. Let c = 43361/12516 - -7/596. What is the common denominator of i and c?
336
Let h = 818 - 662. Calculate the least common multiple of h and 234.
468
Suppose -2*m = -2*o - 68, 5*m - 55 = -2*o + 80. Calculate the common denominator of 13/47 and m.
47
Let w = 264 + -234. Find the common denominator of -1/3 and 18/w + (-423)/(-120).
24
Let u = 4964/9 - 228113/414. What is the common denominator of (-706)/(-228) + (-9)/3 and u?
2622
Suppose -1426*i = -1430*i + 208. What is the least common multiple of i and 43 - (5 + -2)*1?
520
Calculate the least common multiple of 9/12 - 340/40*(-1)/2 and 397.
1985
Let x = 293079085798822632269425/45646692 - 6420598579165883. Let f = 2/292607 + x. What is the common denominator of f and -97/10?
780
Let c = 6384 + -6382. What is the lowest common multiple of c and 252?
252
Let q be (-35)/(-10)*8/(-14). Let p be ((-3)/(12/(-16)))/q. Calculate the smallest common multiple of 18/6 - (2 + p) and 7.
21
Let c = -163374583/833 + 196128. What is the common denominator of c and 5/343?
5831
Let x = 2745233/3562 - 10020/13. Calculate the common denominator of -39/46 and x.
6302
Let u(w) = 14*w - 130. Let p be u(22). What is the common denominator of 59/80 and 36/480*(-3)/36*p?
80
Let p = -99493963 + 100488887731/1010. Let w = -3/2020 - p. Calculate the common denominator of w and 105/52.
52
What is the common denominator of 53/72 and (2/72)/(-29 - 358763/(-12369))?
72
Let p be (-56)/(-3) - 16/(-12). Suppose -36 - p = -s. What is the smallest common multiple of 10 and s?
280
Let l = 153071 - 1988765/13. Let g = 112067/1274 - l. Find the common denominator of -1/154 and g.
1078
Let f = -9979285/714 + 41929/3. Find the common denominator of f and -93/140.
2380
Suppose m - 84 = 5*m. Let r be 8/2*m/(-84). What is the smallest common multiple of r/((3/(-4))/((-108)/8)) and 4?
36
Suppose 0 = -16*l + 450037 + 10315. Let i = l - 2819615/98. Let o = -4453 + 35575/8. Calculate the common denominator of i and o.
392
What is the smallest common multiple of 66 and (212232/(-1195))/(2/(-25) - 0)?
24420
Let u = 1737/8171 + -65654123/14299250. Let p = 742/125 + u. Calculate the common denominator of p and (-7)/4 - (-3500)/240.
210
Let w = 35 + -20. Suppose 0 = 5*k + 5*m + w, -5 = -2*k + 5*k - m. What is the common denominator of k + 5 - (-107)/(-10) and -62/5?
10
Let g = 631579/1765665 - -1/43065. Let i = 2345/1353 + g. Find the common denominator of i and 23/130.
1430
Calculate the common denominator of 35/951 and (-78)/(-4290)*55*1/(9/(-28)).
2853
Calculate the least common multiple of 24/(912/(-95))*12/(-15) and 22.
22
Suppose -4*c + 25 = 1. Find the common denominator of 135/3 + (0 - 1) and c*((-924)/54)/(-7).
3
Let y = 1465/357 - 56/17. Let f = 6362471/168 - 37871. Let o = f - y. Calculate the common denominator of o and -67/6.
24
Let g be (1*-12)/(-4) + 225. Find the common denominator of (-10)/(1160/g) - -1 and 37/5.
145
Let d = -29839/18 + 1660. Let q(p) = -2*p**2 + 42*p - 5. Let z be q(20). What is the common denominator of (-10)/z*3423/360 and d?
180
Let o = 31 + -611/21. Find the common denominator of o and -5/3492.
24444
Suppose -12 = -3*z, 2*o - 4*z - 16 - 220 = 0. What is the least common multiple of o and 238?
2142
What is the common denominator of (-157)/40 + (-3393)/(-1044) and 12/223?
8920
What is the least common multiple of (0 + (-45)/(-6))*188/141 and 605?
1210
Let o = 4805 + -4795. What is the smallest common multiple of o and 454?
2270
Let x = -50 + -10. Let m be (-6)/5 - -1 - (-614558)/x. Let w = m - -10267. Find the common denominator of w and -21.
6
Let o(u) = -u**3 + 21*u**2 - 19*u - 16. Let l be o(20). Suppose -8*r + 7*r - 29 = -l*t, r = -t + 11. What is the lowest common multiple of 14 and t?
56
Let b be (-298)/(-1179) + (-2)/54*6. Let g = 6979/1179 - b. Calculate the common denominator of -157/90 and g.
90
Let c(h) = 241*h + 487. What is the lowest common multiple of c(-2) and 706?
3530
Let m be (-6)/(3 - 9 - (2 - 6)). Suppose 0 = -5*d - 10, -5*o + 281 = m*d - 6*d. What is the smallest common multiple of 40 and o?
440
Suppose y - 3*y - 10 = 0. What is the smallest common multiple of 7 and 1 + (6 + y)*5?
42
Let a = 3 - 4. Let p(f) = 6*f**2 + 1. Suppose -226*v - 3 = -227*v. Calculate the lowest common multiple of p(a) and v.
21
Suppose -3*o = 3*x + 30, 4 = 3*x - 5*x. Calculate the common denominator of 1/3*(-8025)/2200 and -2 - (0 - 138/o).
88
Let h = 451 - 594. Let w = -2122/15 - h. What is the common denominator of w and -29/9?
45
What is the common denominator of 23/8374 and 5/(-6)*((-406107)/(-975))/(-39)?
41870
Suppose -1801 - 428 = -11*x - 381. Calculate the least common multiple of x and 378.
1512
Suppose a = -1 + 4. Suppose -h - 5*j + 14 = -a*j, -2*j + 80 = 4*h. Let z(i) = -i**2 - 26*i + 351. Calculate the lowest common multiple of h and z(-35).
396
Let k = 19208432 - 28659010013/1492. Let m = k - -1/746. Find the common denominator of 3 - (-10 + 14 - (-79)/(-16)) and m.
16
Let n(z) = -303*z + 748. Calculate the smallest common multiple of n(2) and 11.
1562
Let z(s) = -s**3 + s**2 + 262*s - 28. Calculate the smallest common multiple of z(-17) and 990.
7920
What is the common denominator of 111/6496 and -3*30/765 - ((-6115)/2992 + 2)?
71456
Let i(m) = 29*m - 960. Calculate the lowest common multiple of i(36) and 280.
840
What is the common denominator of 49/459 and (-965)/(-75) + -13 + (-2116)/(-6120)?
918
Let x = -63008 - -24951185/396. Find the common denominator of x and -95/704.
6336
Find the common denominator of ((-2)/15)/((-16)/654) and (-174)/(-64)*((-5922)/189)/(-47).
80
Let d(z) = 3*z**2 + 4*z + 5. Suppose 0*c + c = -3. What is the least common multiple of d(c) and 20?
20
Suppose l = -2*l - 15. Calculate the common denominator of 41/(2952/594)*(-34)/36 + 4 and (-142)/(-72) + l/10.
72
Let p = 1371 + -1367. Let h be (-9)/(-5) + (-1)/(-5). Suppose 0 = 5*s - 5*b - 15, -s + 3*b + h*b = 1. Calculate the lowest common multiple of s and p.
4
Find the common denominator of (-3)/1700*1166 - 382/(-3247) and 28/(-105)*(-3)/(-14).
350
Let c(a) = -6*a**2 - 208*a + 16. What is the smallest common multiple of c(-33) and 6?
1038
Suppose 13 = 6*w + 37. Suppose 0 = 5*u - 5*g - 15 - 5, -2*u = 5*g - 8. What is the smallest common multiple of u - w/6*6 and 20?
40
Calculate the common denominator of 1/105 and (((-2415)/(-135))/23)/((-2)/51).
210
Let z(b) = -103*b + 4925. Calculate the lowest common multiple of z(47) and 231.
924
Suppose -m + 1 = d, 5*m - 4*d - 7 - 34 = 0. Let j be (-3 + 7)*(m - -22). What is the common denominator of 1/20 and (-381)/j + (-2)/(-3) - -2?
180
Let z = -224523/16 - -14027. Calculate the common denominator of ((-110)/(-1815))/(-1 - (-14)/174) and z.
880
Let d be 19 + -10 - (-1 + 1 - 0). Suppose 8*o - d = 39. Calculate the smallest common multiple of 15 and o.
30
Let s = -120/109 - 1906/1635. Let c = 49331/134485 - -5/2069. Calculate the common denominator of c and s.
195
Find the common denomin