*(-365)/20 - 0. Let l = z - -474/13. What is the common denominator of l and 1/18?
234
Let z = -248797/210 + 7121/6. What is the common denominator of -2 + 1 + (-64)/(-84) and z?
105
Let g(c) = 8*c + 1. Let x(z) = 11*z + 2. Let u(k) = -5*g(k) + 4*x(k). Suppose 3*r + 3 = 12. Calculate the smallest common multiple of u(r) and 9.
45
Calculate the common denominator of -51/61 and (-17)/22 + 47/(-7) + 7.
9394
Let d be 5350/(-44) - 0 - 1. Let l = -763 - -641. Let v = l - d. Calculate the common denominator of v and -119/18.
198
What is the common denominator of -52/6341 and ((-19436)/2486)/(-1 + -745)?
69751
Let s = 4876635/5290048 + 2/82657. Find the common denominator of s and -61/10.
320
Let i be (-2 + 4)/(6/(-21)). Let z = -397873/232636 + -3/12244. Find the common denominator of z and (((-28)/32)/i)/(22/(-275)).
304
Calculate the common denominator of 49/585 and 1248/(-80275)*-15 - 14/(-133).
585
Let c = 139 + -131. Suppose -15 = c*m - 5*m. Calculate the common denominator of 61/5 and 2832/880 + 2/m.
55
Let b = 489149/4852 + -13504457683/134133540. Let s = -7/485 - b. Find the common denominator of s and -89/2.
114
Calculate the common denominator of 113/330 and 29041/6425*5/4.
660
Suppose -4*p - 7*p = -0*p. Let t be p + 6114/(-2018) + 3. Let i = t + 83049/44396. Find the common denominator of i and -85/24.
264
Let r = -48062699/408 + 117801. Find the common denominator of -61/918 and r.
3672
Let h(o) = -o**3 - 27*o**2 - 61*o + 873. What is the smallest common multiple of h(-23) and 1720?
6880
Suppose 4*r - 7254 = x, 309*r + 3*x = 310*r - 1797. What is the lowest common multiple of 66 and r?
3630
Suppose 11*h - 3*h - 4980 = -4*h. What is the least common multiple of h and 830?
830
Suppose 0 = -3*w - 3, -2*v = -0*v + 3*w + 25. Let m be (-75)/v - (-14)/77. Calculate the least common multiple of (-8)/2 + (101 - m) and 16.
720
Let s = 61889833/40002 + -12/6667. Let t = s + -1567. Let n = 5/158 - 12557/2370. Find the common denominator of t and n.
30
Suppose 2*t + a = -67, -2*t = -3*t - a - 31. Let u be ((-16)/6)/(220/t*-15). Let k = u + 8573/1650. What is the common denominator of k and 50?
6
Suppose -4*o = o + 2*g + 5054, 5*g + 10 = 0. Calculate the common denominator of (19/(-95))/(4/o) and -24/29.
58
Let n(l) = -l**2 - 8*l - 9. Let i be (-5)/(-3) + (-238)/(-102). Suppose 7 = 3*c + o, 2*c + 4*o + o = -i. What is the smallest common multiple of n(-6) and c?
3
Let j be 4/14 - (-1690)/14. Suppose -127*l + 840 = -j*l. Calculate the lowest common multiple of l and 3.
420
Let v(s) = 2*s**2 - 147*s - 369. Calculate the smallest common multiple of 3568 and v(76).
39248
Let u = 22294897/12 + -1856218. Let w = 1688 - u. What is the common denominator of w and -59/16?
48
Let r = 46927/9165 - -8/611. Calculate the common denominator of r and 9/290.
870
Let c be ((-10)/(-15))/(1/12). Let b be 511/(-2092) + 2/c. Let o = 28747/3138 + b. Calculate the common denominator of 32/33 and o.
66
Suppose 2*i - m - 134 = 0, -2*i - 2*m - 3*m = -122. Let a = 164612 + -164546. Calculate the lowest common multiple of i and a.
66
Let c(n) = 18987*n - 37973. Suppose k = -2*b + 503, 4*k = -2*b - 94 + 582. Calculate the lowest common multiple of b and c(2).
254
Let y = 231304907/684 - 6364872/19. Let k = -9505/3 + y. Find the common denominator of k and 57/4.
36
Suppose -h - 2*i + 362 = 0, -3991*h + 3996*h - i - 1733 = 0. Calculate the lowest common multiple of h and 336.
9744
Find the common denominator of 2/27*(1 + 3749/(-92)) and -115/444.
1332
What is the least common multiple of 52 and 8296/11 - (-6)/(-33)?
1508
Let n(k) = k**3 - 29*k**2 - 38*k + 46. Let a be n(30). Calculate the common denominator of 93/26 and (a/96)/(((-14)/6)/(-7)).
208
Let b(q) = -5*q - q**2 - 10 + 1 - 5*q + 2. What is the lowest common multiple of b(-7) and (38 - (-918)/(-45))*10/8?
154
Suppose -5*n = -5*f + 1600, 2*f + n = 1258 - 624. What is the smallest common multiple of f and 30?
1590
Let l = 33001/4 + -8314. Let v = -450/7 - l. Find the common denominator of v and (-1 - 15 - -88)*(-7)/14*1.
28
Let m(z) = -8*z**3 + 6*z**2 + 3*z - 27. What is the smallest common multiple of 36 and m(-3)?
468
Let b = 16 - 12. What is the common denominator of (-4)/1 + (-12042)/(-1296) and b + (-2 - (-345)/(-99))?
264
Suppose 119*h = 116*h - m + 163, -3*h = -3*m - 183. Calculate the least common multiple of h and -2 + 1 + 2 + 3.
56
What is the least common multiple of 21/2 + (-309)/206 and -1*(-1 + 0)*33?
99
Suppose -2*w - 4*s + 9837 = -7555, w - 2*s - 8704 = 0. Let k = -261023/30 + w. Calculate the common denominator of k and -65/32.
480
Let a be (-1 - (-2)/(10/15)) + -9. What is the smallest common multiple of 20 and (-1569)/(-21) + a/(196/(-8))?
300
Let d(o) be the first derivative of -o**4/2 - 4*o**3/3 - 4*o**2 - 6*o + 124. Calculate the lowest common multiple of d(-3) and 32.
288
Suppose 22*a + 4 = -7*j + 25*a, -5*j + 4*a - 14 = 0. Let i = 9 + 42. Calculate the lowest common multiple of i and j.
102
Let u = 25 + -15. Let v = 1339 - 957. Calculate the lowest common multiple of u and v.
1910
Let w(u) = -39*u - 15. Suppose z + 5*k + 3 = 0, 2*z - 4*k - 29 = -z. Let a be w(z). What is the common denominator of 93/4 and (3/a)/(2/(-291))?
64
Let a(v) = v**3 + v**2 - 4*v + 8. Let n be a(3). Let d = 16 - 26. What is the common denominator of 47/18 and (d/(-6))/(n/(-456))?
36
What is the lowest common multiple of 24 and (120/12 + -17)*(-6)/21*1401?
11208
Let t be 4 + 32/(-5) - (-6)/(-10). Calculate the common denominator of ((-63)/16)/t - 1 and 38/(-64)*(-6)/3.
16
Suppose 2*y + 9*y + 33 = 0. Let p(h) = 561*h - 17. Let u be p(-4). Calculate the common denominator of 4/33 and y/(-5) + u/(-765).
99
Let v be -4812*(68/(-8))/((-6)/4). Let w = v - -981793/36. Calculate the common denominator of -67/64 and w.
576
Suppose 0 = v - i - 1040, -3*i = -v + 1131 - 83. Calculate the least common multiple of v and 21.
3108
Suppose 0 = 4*m - 5*j + 160, 3*m - 6*m + j = 109. Let z be m/(-14)*(-6)/5. What is the least common multiple of 21 and 3/(z + 2/(-20)*-31)?
210
Let r = -89 + 133. Let c be (-100)/(-32) - 2/32*2. Suppose 77 - 119 = -c*n. Calculate the lowest common multiple of r and n.
308
Suppose -5*d + 126 = 2*l, 2*l = -0*d - 3*d + 118. What is the lowest common multiple of 3/(-1) + 6 + l and 100?
1400
Let u be 1*(-5 - 12628/8). Let s = -1549 - u. Calculate the common denominator of s and 17/(8/5*(4 + -5)).
8
Suppose -2561 = -38*b + 25*b. Let n = b - 37. Calculate the smallest common multiple of n and 140.
1120
Let w = 6356 - 56573/9. Let q = 71 - w. What is the common denominator of 5/(-10) + (-1 - 22/3) and q?
18
Let w = 8 + -28. Let q be (216/(-4))/(15/w). Find the common denominator of (-140)/q - 1/(-6) and -45/8.
72
Suppose 0 = s + 676 + 2416. Let d = -2022 - s. What is the least common multiple of d and 20?
2140
Let u = 3/33593 - -2586319/3829602. Find the common denominator of 9/418 and u.
1254
Suppose 2*y - 224 = -y + 4*v, -5*y - 3*v + 354 = 0. Calculate the common denominator of 19/85 and (-16)/y - 278/180.
510
Let g be (11/(11/(-2)) - 548)*-2. What is the common denominator of (2172/g + -2)*(-35)/2 and -3/20?
220
Calculate the common denominator of 59*(-3)/204*1 and (20 + 6413/(-330))*(-12)/8.
340
Calculate the common denominator of -87/352 and (1*40/320)/(1 + (-118)/82).
3168
Let b(u) = u - 24. Let t be b(19). Let h(k) = 2*k**3 + 12*k**2 - 2*k - 18. Calculate the smallest common multiple of h(t) and 21.
42
Suppose v - 25 = 2*f + 2*f, 2*v - 46 = 4*f. Suppose -4*t + v + 1 = 5*w, 0 = 4*w - t - 26. Let j = 7283 + -7241. Calculate the lowest common multiple of j and w.
42
Suppose 2495 = 367*g - 111*g - 3393. What is the lowest common multiple of 1610 and g?
1610
Let j = -287993/30 - -9602. Calculate the common denominator of j and 74/87.
870
Let y = -12/19 + 727/38. Let m(v) = 17*v + 8. Let q be m(2). What is the common denominator of 1*254/(-30) + (-14)/q and y?
10
Let u be 3312/(-20) - 4/10. Let z be (-10149)/85 - ((-3)/(-5) - 0). Let h = z - u. Calculate the smallest common multiple of 11 and h.
506
Let j be 0 - (202/120 - (-6)/12). Let p = j - -23/24. Calculate the common denominator of (-8)/(-48) + (-682)/60 and p.
40
Let p(n) = 5*n**2 - 18*n + 269. Calculate the smallest common multiple of 256 and p(17).
2816
Calculat