Let j = 6/191 - h. Find the common denominator of 149/216 and j.
216
Calculate the smallest common multiple of 24 and (-18)/(-2)*(-26152)/(-56).
33624
Let d(u) = -u**2 + 4*u + 14. Let s be d(6). Suppose 2*l + 411 = s*x + x, -3*x = 5*l - 432. What is the lowest common multiple of 5 and x?
695
Suppose -368 = -5*v - 218. Find the common denominator of 23/(-3)*v/(-700) and 69/8.
280
Let f = -13 - -7. Suppose 2*q + 2*k = 7693 - 7665, 0 = 3*q + 5*k - 40. Calculate the least common multiple of q and ((-4)/f)/((-2)/(-18)).
30
Suppose -6*z - 2207 = -x - z, -3*x + 6669 = -3*z. Suppose x = 24*t - 23*t. Let p = t + -44647/20. What is the common denominator of 79/36 and p?
180
Let v be -64 + (1 - 2) - 0. Suppose 0 = -17*n - 1348 + 413. Let p = n - v. Calculate the lowest common multiple of p and 3.
30
What is the common denominator of (-198)/(-56) - 74/259 and 21/(-360)*1/(-42)*194?
360
Let w = 102673 - 348164140/3391. Let v = w + -78389/447612. Find the common denominator of v and -5/48.
528
Let s = -6595 + 6617. What is the lowest common multiple of 396 and s?
396
Suppose -64 = -52*k + 68*k. Let g(r) = -r**3 - 9*r**2 - 21*r + 2. What is the smallest common multiple of g(k) and 75?
150
Let a(w) = -3*w**2 + 62*w + 72. What is the smallest common multiple of 9 and a(20)?
1008
Let s = 6599 - 2738576/415. What is the common denominator of 25/7 and s?
2905
Let u = 13 - 9. Suppose 2*s - 4*f + 0*f - 6 = 0, 0 = u*s + 3*f + 21. Calculate the lowest common multiple of 25 and ((-4)/(-7))/(s/(-21)).
100
Let w = -289356 - -577265293/1995. Calculate the common denominator of w and -45/14.
3990
Suppose -2*d = -3*h - 3*d + 1, 10 = -5*h - 4*d. Suppose 3*u - 10499 = h*u. Let g = u - 482867/46. Find the common denominator of -101/14 and g.
322
Let g = 7092 - 6862. Calculate the lowest common multiple of 2070 and g.
2070
Let q be (-2)/((-138)/(-15) + -9). Find the common denominator of -22/153 and q + 1 - 817/(-342).
306
Suppose -13*v - 10034 = -5*b - 16*v, 2*v - 8028 = -4*b. Suppose 6*h = b + 2744. What is the common denominator of 181/30 and (-9)/(81/(-2)) - 3164/h?
330
Let s(r) = -47*r + 645. What is the least common multiple of 48 and s(3)?
1008
Let s = 117391/15 + -7827. Calculate the common denominator of s and 109/2334.
11670
Suppose 8 = 2*t - 10. What is the least common multiple of 32 and (t + 335/(-15))*(-1 - 2)?
160
Let h = 4602 + -3674. Calculate the smallest common multiple of 14 and h.
6496
Let k = -83 - -82. Let f = 2/9595 + 249416/259065. Calculate the common denominator of f and (k/30)/(1/(-58)).
135
Let s = 27 + -20. Suppose s*u + 12 = 11*u. What is the least common multiple of 8/28 - 1565/(-35) and u?
45
Suppose 0 = 5*x - h + 47, 10 = -2*x + 23*h - 27*h. Let u(v) = -19*v - 91. What is the smallest common multiple of u(x) and 5?
80
Let r = -463 + 479. Suppose -r*k = -6*k - 1080. What is the least common multiple of 44 and k?
1188
Suppose 0 = -24*l + 50*l - 312. What is the lowest common multiple of 448 and l?
1344
Calculate the common denominator of -208 + 223 + (-12884)/855 and 44/95.
855
Let g be ((-40)/(-14))/((24/7)/12). What is the least common multiple of g - ((-1)/(-3) - (-42)/(-18)) and 21?
84
Suppose 0*u - 16 = 3*u + 5*v, u - 6 = 4*v. What is the common denominator of ((-2354)/330 - -7)/((-8)/18) and u - ((-6)/(-27) + -1)?
90
Let b(u) = u. Let i(s) = s - 1. Let j(q) = -b(q) - 2*i(q). Let c be j(-3). Let h = 21 - c. Calculate the least common multiple of 3 and h.
30
Let p(x) = x**3 + 5*x**2 + 4*x - 4. Let q be p(-3). Suppose -3*v + 28 = -q*v. Let g = v + -23. What is the lowest common multiple of 3 and g?
15
What is the lowest common multiple of 45 and (-5)/15*-42 - 3?
495
Let c(i) = 4*i - 118. Calculate the smallest common multiple of 20 and c(33).
140
Let l be 10/30 - (-538)/6. What is the common denominator of -43/12 and (18/(-432))/(l/44 - 2)?
12
Let z = 947 - 799. Suppose 6*i - 4*i = z. What is the least common multiple of i and 36?
1332
Let g = 28174145/73 - 524379995123/1358676. Let j = g + -1/846. Find the common denominator of 45/77 and j.
308
Let t(o) = 270*o**2 - 825*o - 7. Calculate the least common multiple of t(5) and 833.
18326
Let i = -12000865/144 - -83339. Find the common denominator of i and -85/1728.
1728
Let k be -2*2*2/4. Let g(d) = d + 3. Let p be g(k). Calculate the common denominator of 62/9 and (26 - p)*(-16)/(-128).
72
Suppose 6*m + 9317 = 1685. What is the common denominator of 3/108*-4 - m/(-459) and 22/5?
85
Suppose -o = 5*m - 96, -3*o - o + 4 = m. Let t(f) = -2*f**2 + 24*f - 24. Let i be 10*1*((-13 - -6) + 8). What is the smallest common multiple of m and t(i)?
80
Suppose -2*p + 2*s = 546, -3*p - s - 319 = 488. Let u = p - -294. Let j = -84 + 120. What is the lowest common multiple of j and u?
72
Let s = 14647/6 - 2440. Calculate the common denominator of 109/114 and s.
114
Let m = 62859/2 + -7260289/231. Calculate the common denominator of m and -41/126.
1386
Suppose i = 6*i - 5. Let l(m) = 9*m + 51. Let f be l(-7). Calculate the least common multiple of 16/2 - 0*(-4)/f and i.
8
Calculate the common denominator of -37/1890 and (-1515)/324*(15613/(-1300) + 12).
15120
Calculate the least common multiple of 4612 and 45 - (1 + -9)*(-131)/1048.
50732
Let s be (-2)/(-3) + (-25144)/(-84). What is the common denominator of 17/12 and 3320/s*((-63)/(-68) - 1)?
204
Suppose -16*z - 110 = -38*z. Calculate the lowest common multiple of (1/(-2))/(2/(-20)*z) and 24.
24
Let w(s) = -s**2 - 10*s + 8. Let g be w(-6). Calculate the common denominator of (-1418)/120 + g/80 and ((-4)/72)/((-9)/(-264)).
108
Let s = -5 - -389. Suppose s*y - 372*y = 288. What is the smallest common multiple of 6 and y?
24
What is the common denominator of (-412)/2*2*(-4)/(-448) and (-4 + (-406)/(-112))*(-50)/(-3)?
28
Suppose 0 = 67*i + 792 - 1596. What is the least common multiple of 1104 and i?
1104
Suppose -1463 = 33*p - 545 - 7650. What is the least common multiple of 816 and p?
816
Let g(q) = q**2 - 25*q + 84. Calculate the smallest common multiple of 12 and g(27).
276
Suppose 594 = 129*q - 63*q. Let x(n) = -n**2 + 16*n - 16. What is the smallest common multiple of q and x(11)?
117
What is the common denominator of -73/138 and -2 - (-107613)/57960 - 14/(-49)?
2760
Suppose 0 = -10*c - 3*c + 936. Let p(f) = -7*f - 329. What is the least common multiple of c and p(-55)?
504
Let u = 4/971 - 133243/52434. What is the common denominator of u and -13/32?
864
Let w = -44986 + 80704873/1794. What is the common denominator of w and -103/42?
12558
Suppose -5*n + n = -30*n + 13806. Calculate the least common multiple of 9 and n.
531
Suppose -5*a - 775 = 5*w, -2*w - 778 = 5*a - 0*w. What is the least common multiple of 36 and a/(-546) + 1 + (-117)/(-7)?
36
Suppose -5*i + 28*c - 30*c - 19 = 0, -4*c + 4 = -4*i. Calculate the lowest common multiple of (1/5*i)/(1/(-5)) and 30.
30
Let j(a) = -3*a - 18. Let m(f) = -2*f - 21. Let p(i) = 5*j(i) - 4*m(i). Calculate the smallest common multiple of p(-3) and 9.
45
Calculate the common denominator of 20750/(-11000) - 14/(-6) and 67/22.
132
Let g = -7/2865 + 272357/74490. Find the common denominator of g and 107/720.
9360
Suppose -73*n + 76*n + 9 = 0, 225 = 2*m + 3*n. What is the lowest common multiple of 9 and m?
117
Let l = -327 - -331. Suppose -l*b = -2*c - 44 + 206, 2*b = 3*c - 231. Calculate the smallest common multiple of c and 55.
825
Suppose -2*i + 248 = 220. What is the common denominator of (i/504)/(7/208) and -44/63?
63
Let g = 3/79 - -5585/632. Suppose -36 + 40 = 2*j. Suppose -j*c = 2*c - 4*l - 120, 88 = 3*c - 5*l. What is the common denominator of g and c?
8
What is the common denominator of (-2)/(-14) - ((-13050)/20664 + 1) and 19/100?
4100
What is the common denominator of -14 + 6 - (370/160 - 7) and -83/16?
16
What is the lowest common multiple of 90/135 + (-472)/(-12) and 96?
480
Let x = -22818 + 22864. Calculate the lowest common multiple of 3795 and x.
7590
Let g = 10713294 + -1671280927/156. Let o = -88697 + 1153681/13. Let c = g + o. Calculate the common denominator of -17/134 and c.
804
Let s be ((-1)/3)/(1*(-2)/48). Suppose -2*b = s*b. Suppose -h + 8*h - 210 = b. Calculate the smallest common multiple of h and 30.
30
Let l be (-102)/(-24) + -4 - 19/(-4). What is the common denominator of -55/12 and 1/(12