r = -39*r - 228. What is the smallest common multiple of r and 5?
190
Calculate the common denominator of 54159/(-5158)*(27/70 - (-2)/(-7)) and -37/1102.
11020
Let l = 68955958153227257/142950 + -482378161272. Let y = l + -2/23825. What is the common denominator of 9/20 and y?
60
Suppose 44*h = 487 - 223. Suppose 4*s - 51 = 29. What is the smallest common multiple of s and h?
60
Suppose 36*y + 25515 = 57*y. What is the common denominator of (2/4)/(450/y) and 89/30?
60
Let q = -1317/7 - -13233/70. Calculate the common denominator of 39/64 and q.
320
What is the common denominator of 130/8420*(-140)/(-455) and 97/2526?
2526
Suppose w + 1824 = 2*x - 1124, 2*x + 5*w = 2960. Calculate the lowest common multiple of x and 531.
13275
Suppose 2*p = 4*l + 136, -8*l + 12*l + 204 = 3*p. Let o = 44 - 40. What is the least common multiple of o and p?
68
What is the least common multiple of 80/1080 - (-5936)/54 and 22?
110
Suppose 4 = 11*n - 12*n, -5*i + 3*n + 1662 = 0. Calculate the smallest common multiple of i and 360.
3960
Let y = 523385 - 823284545/1573. What is the common denominator of y and -43/2431?
26741
Let m(a) = -a**2 - 15*a - 16. Let n be m(-7). Suppose 0 = 5*y - 5*o + n, 2*y - 5 = 3*y + 2*o. Find the common denominator of (1/18)/(y/(-497)) and -109/12.
36
Let a be ((-20)/15)/(3/(-171)). Find the common denominator of (-4)/((-32)/(-6))*418/a and (2/(-14))/((-4)/(-146)).
56
What is the smallest common multiple of (323 + -337)/(1/(-20*2)) and 2912?
14560
Let v be 347*1/(-14) + 5/30. Let g = -233/7 - v. What is the common denominator of -73/18 and g?
18
Let u be (-918)/(-3) - (-4 + 12 + -4). Suppose 0 = 5*f + 32 - u. What is the smallest common multiple of 36 and f?
108
Let k(r) = -r**2 + 23*r + 21. Let s be k(24). Let w be s*(-28)/147 - (-290446)/(-35847). Let j = w - 14/569. Calculate the common denominator of 58/3 and j.
9
Calculate the common denominator of (-311064)/65520 + ((-4)/(-7))/(-2) and -23/168.
840
Let k be (20/6)/(12/18). Suppose 3*j + k*z + 559 = 0, -3*z + 5*z - 942 = 5*j. Find the common denominator of 11/7 and j/(-54)*21/(-14).
63
Suppose -116 = 10*x - 146. Suppose -2*y + 103 = 3*r + 1, 170 = x*y - 4*r. What is the lowest common multiple of 54 and y?
54
Let z(l) = 2*l**2 - 27*l + 493. Calculate the smallest common multiple of 45 and z(28).
1305
Calculate the common denominator of (1*-9 - 320/(-30)) + (-11427)/6804 and 61/648.
4536
Let y(k) = -3*k + 83. Let g be y(25). Calculate the common denominator of -77/6 and 1/g + (-6261)/(-3192) + -2.
798
Suppose 13*p + 4*o - 137 = 12*p, -655 = -5*p - 5*o. Suppose 7*s - p = -17. Calculate the least common multiple of 56 and s.
112
Suppose 5*g = s + 1, 4*s + 4 = -3*g + g. Suppose g = -k - 15*k + 448. What is the smallest common multiple of 8 and k?
56
Let y = -20999947589/3097364364 - -4/4636773. Let m be 379/(-1503) + (-12)/(-54). Let g = m - y. Calculate the common denominator of -11/12 and g.
12
Suppose c = 33 - 23. Let y be (-72)/90 + (-277)/c. Let r = -29 - y. Calculate the common denominator of -19/12 and r.
12
Let y = 475 + -469. Calculate the common denominator of -53/110 and 8526/(-2520)*(y/(-14))/(-3).
660
Suppose 52*v - 46*v + 84 = 0. Find the common denominator of 75/266 and (57/v)/(96/168).
1064
Let d(s) = 117*s + 31. Let q be d(-2). Let h = -173 - q. Calculate the smallest common multiple of 60 and h.
60
Let j = 2776/215 - 22/43. Suppose 3*x + 18 = 3, -4*x = -2*t - 32. Calculate the common denominator of j and (t/4)/(12 - 16).
40
Find the common denominator of 15/128 and 2/(-15) + 38095/638400.
896
Suppose -q - 39 = 328. Let l = 383 + q. What is the lowest common multiple of l and 6?
48
Let g(o) = 2*o - 14. Let d = 8 - 2. Let u be g(d). Find the common denominator of 101/8 and (-12)/14*13/u.
56
Let x(c) = 13*c + 210. Let u be x(-16). What is the least common multiple of 12 and 27*(52/117)/(u/3)?
36
Let x be ((-4)/(-48))/(100/(-514)). Let o = x - 189/50. What is the common denominator of o and -13/18?
72
Let o(a) = 12*a - 8. Let k be o(4). Let l = -153 + k. Calculate the common denominator of 73/18 and (-11)/66 + l/(-39).
234
Suppose -3*p = 4*x - 0*p + 61508, 3*p - 61484 = 4*x. Let v = x - -307563/20. Find the common denominator of v and (92/6)/((-16)/2).
60
Let k = -1074/7067 + 1000150838/190809. Let w = -5239 + k. Calculate the common denominator of (-363)/(-45) - (-2)/(-5) and w.
27
Suppose -19*a + 145744 = -23*a. Let f = 1603287/44 + a. Find the common denominator of f and 4/99.
396
Suppose 0 = -q - 5*y - 4, y = -0 - 3. Suppose 198 = -0*o + q*o. Calculate the smallest common multiple of o and 48.
144
Let v = -15590 + 17878. What is the lowest common multiple of v and 88?
2288
Let u(z) = -7*z**2 + 24*z - 2. Let m(k) = 6*k**2 - 23*k + 3. Let y(c) = -4*m(c) - 3*u(c). Calculate the least common multiple of 9 and y(6).
18
Suppose -4*d - 188 = -4*k, -k = k + 5*d - 59. What is the least common multiple of k and (15 - 1044/(-24)) + (-3)/(-2)?
420
What is the common denominator of (-2260)/48*(12144/2025 + -6) and -83/594?
8910
Suppose v + 1 = 0, 142*a - 2530 = 139*a - 5*v. Calculate the lowest common multiple of 2 and a.
1690
Suppose 4 = t, 3*n = 2*t - 7 - 13. Let u = 74861/20 - 3741. Calculate the common denominator of 1 - (1055/130 + n) and u.
260
Let z = 218 + -217. Calculate the common denominator of (5 + (-1337)/126)*z and 17/6.
18
Let u = 19 - 3. Let d(c) = c**3 + 27*c**2 + 159*c - 73. Calculate the smallest common multiple of u and d(-11).
912
Suppose -5*w - 215 = 5*o, 5*o = -w - w - 203. Let k = o + 40. Calculate the lowest common multiple of 1/((-2)/172)*k/(-2) and 5.
215
Let h = 596 - 604. Find the common denominator of (-88)/(-11) - (-19)/h and -127/6.
24
Let g be (-8)/(-1540)*(-513960)/(-1422). Let b = g + 2/1659. What is the common denominator of -151/96 and b?
1056
Suppose -8*z = -10*z + 30. Calculate the common denominator of z/10*(-763)/(-126) and -27/100.
300
Let p = 264 - 255. Let h = 34 - 6. What is the lowest common multiple of h and (-3)/(-4)*(p + -1)?
84
Let h(o) = o**2 - o - 11. Let w be h(-5). Calculate the lowest common multiple of w + 205/82*-1*2 and 161.
322
Let y be (-23 + -31)/(3/(-10)). Let a = 215 - y. What is the lowest common multiple of a and 45?
315
Let l = 52925 + -4657509/88. Calculate the common denominator of -69/1112 and l.
12232
Suppose -15914 = -5*j + 10651. Let c(q) = -q**2 + 3. What is the common denominator of c(3) and (-2)/23 + 13020/j?
11
Let h = -446 + -295. Let a = h - -781. What is the smallest common multiple of a and 190?
760
Suppose -35 - 121 = 2*z. Let d = 116 + z. Calculate the common denominator of -31/29 and d.
29
Suppose -4*u + 64 = 4*g, 3*g = -2*u - 0*u + 34. Let b(m) = -m**3 + 6*m**2 - 6 + 2414*m - 2403*m + 0*m**3. What is the smallest common multiple of u and b(7)?
154
Let h(b) = 5*b**2 + 40*b + 84. Let u(q) = -q**2 - 3*q. Let v(a) = h(a) + 4*u(a). Calculate the least common multiple of v(-27) and 18.
342
Let j = -7919/326256 + -14/971. Find the common denominator of j and 37/6.
336
What is the common denominator of ((-2)/45)/((-2)/(-177)) and 904/20*(-2)/(-24)?
30
Calculate the common denominator of 71/33 and ((-1786)/846)/((-290)/(-6)).
4785
Let p(u) = 14*u**2 - 91*u - 321. Calculate the lowest common multiple of p(-10) and 91.
13923
Suppose 5*g = c - 5693, 3*g = -0*g - 5*c - 3427. Let k = 12570/11 + g. What is the common denominator of -7/17 and k?
187
Let q(y) = 4*y. Suppose 4*j - 4 = 2*j. Let x = -224 - -229. Calculate the smallest common multiple of q(j) and x.
40
Let y = -5970/323 + 24942025/1348848. What is the common denominator of y and 63/232?
4176
Let f = -351261/231676 + 5/3407. What is the common denominator of 53/177 and f?
12036
Suppose 5*j + 13919 = s, 0 = -4*j + 7*j + 4*s + 8333. Let l = j - -33337/12. Find the common denominator of l and 13/3.
12
Let h(d) = -d**3 - 18*d**2 - 53*d - 6. What is the lowest common multiple of h(-3) and 60?
180
Let j = -168881/16 + 10559. Find the common denominator of 4/(-10) + (-39)/(-20) + (-32)/(-160) and j.
16
What is the smallest common multiple of 10 and ((-282)/(-18))/((6 - -3)/162)?
1410
Let k = 512077/380232 + 5/10562. What is the common denominator of 2*(-93)/66 - 0 and k?
792
Suppose -j + 103 = -23. Suppose 15*d = d + j. Calculate the lowest common multiple of