
208
Let f = -16280075 + 56329060131/3460. Let x = f + -7/20. What is the common denominator of -67/2 and x?
346
Let r = 16598242/185 - 89720. Calculate the common denominator of r and 43/510.
18870
Suppose 69 = 4*z - 23. Let b = 39 - z. Let c(m) = -21608*m + 64832. Calculate the lowest common multiple of b and c(3).
16
Let k = -695881541/51680 - -67326/5. Let d = 100769/72352 - k. What is the common denominator of d and 25/108?
756
Let r(y) = 3*y - 4. Let a be r(8). Suppose 23*d - 21 = a*d. Let g(t) = t + 9. What is the lowest common multiple of 8 and g(d)?
16
Let c be ((-20067)/(-27))/((-96)/396). Let i = c + 3064. Find the common denominator of i and 125/6.
24
Suppose -11*s - 37*s = -15360. What is the lowest common multiple of 24 and s/(-15)*(1 - 10/4)?
96
Let o(c) = c - 2. Suppose 8 - 2 = -3*j - 2*b, 0 = -3*b + 9. Let g be o(j). What is the common denominator of 27/11 and (-5*(-2)/(-22))/(g/(-42))?
11
Suppose 0*b + 4*y = -b, -b = -4*y - 24. Suppose -4 = -5*z + 7*z + 2*w, 3*w = 4*z + 15. Let v = z + b. What is the lowest common multiple of 27 and v?
27
Let z = -4 - 3. Let h = -172 - -312. What is the common denominator of -1 - 30/224*h/z and 52/7?
28
Let j = 14574 + -291371/20. What is the common denominator of j and ((1/(-8))/(-14 + 13))/((-4)/376)?
20
Suppose -15*v = -69 + 9. Calculate the least common multiple of 4 and 418/95 + v/(-10).
4
Let q = 3/16619 + -315815/299142. Find the common denominator of q and 22/6*(-4)/42.
126
Suppose -4*s + 2*x = 102, 4*s - 13*x + 14*x + 93 = 0. Calculate the lowest common multiple of 11 and (s/16)/((-6)/40).
110
Let u = 216 + -153. What is the least common multiple of 913/154*7 - (-46)/92 and u?
126
Let q = -127 - -138. Suppose x - 3*z = 3*x - 15, q = 2*x - z. Let y = 1 + 3. Calculate the lowest common multiple of y and x.
12
Suppose 0 = -128*y + 135*y + 7. Calculate the common denominator of -47/53 and (-56)/(-420) - ((-301)/(-30) - y).
530
Suppose 2*o - 3*o + 299 = -5*h, -4*o - 5*h + 1246 = 0. Calculate the lowest common multiple of 75 and o.
7725
Let c be (-7)/(-9) - (1 + (-11)/9). Let o(v) = -4*v + 40. Let r be o(6). What is the lowest common multiple of 2 and 0 + r/2 + 2*c?
10
Let t = -887 - -909. Calculate the lowest common multiple of t and 160.
1760
Let p = 750 - 3738/5. Let k(t) = 15*t - 174. Let o be k(13). Calculate the common denominator of p and (-28)/o*(-3)/14.
35
Let p be (975/(-9) + (-2)/(-6))*-590. Let f = 8793455/138 - p. What is the common denominator of f and -119/18?
414
Let y = 10291/6 - 1736. Suppose b + 452 = 5*b - 2*l, 4*l + 220 = 2*b. Calculate the common denominator of (-27)/(-21) + -1 - b/(-91) and y.
78
Let w = -2/3325 + 269333/13300. Suppose -2*o - 110 = -t, -2*t = -3*o + 94 - 260. What is the common denominator of 1 + 12/320*o and w?
40
Suppose 5090 = -15*j - 24070. Calculate the common denominator of 13/6 and 5660/j - -3*(-1)/(-1).
486
Suppose o - 3 - 1 = 0. Let w be -39 - -38 - (-1 + -4). Suppose 0 = w*g + 3*r - 10 - 38, 0 = -g + r + 5. What is the least common multiple of o and g?
36
Let x be 5/25*1 + (-1196)/5. Let g = x + 4544/19. Calculate the common denominator of g and 49/2.
38
Let t(n) = 4*n**2 - 4*n - 25. Let f be t(5). Let y = -57 + f. What is the lowest common multiple of 33 and (-7 + -92)*((-2)/(-3))/y?
33
Let w = -20011/26 - -1821083/2366. Calculate the common denominator of w and -53/273.
3549
What is the lowest common multiple of 1 and (32 + -18 - 3) + 0?
11
Let l(d) = -8*d**3 - 2*d**2 + 29*d + 75. Calculate the lowest common multiple of 2 and l(-3).
186
Suppose -14*f = -55 + 13. Find the common denominator of -1 - (-2552)/480 - (9 - f) and -71/28.
420
Let w = -131 - -133. Let o(c) = -2*c - 7. Let k be o(-5). Suppose -2*i + k*j = 11, -j = -w*j + 5. Calculate the lowest common multiple of 17 and i.
34
Suppose 185*i - 4*m + 40 = 186*i, -2*i - 2*m + 74 = 0. What is the smallest common multiple of i and 168?
504
Let q be -2 - (1429/3)/(10/(-15)). Let i be (4/(-2))/2 + -2 + -750. Let a = i + q. Find the common denominator of a and 127/6.
6
Suppose 0 = -10*r + 5*r + 500. Find the common denominator of (-2)/20*-2*(-13080)/(-576) and (-5)/r*(-235)/(-2).
24
Let g be ((-65852)/(-108))/((-24)/(-99)). Let u = g - 2515. What is the common denominator of (-2 - 161/(-33)) + (-3)/1 and u?
792
Suppose 0 = 5*m + 4*s - 148, -2*m - 28*s = -23*s - 49. What is the least common multiple of 2128 and m?
4256
Let a(q) = -q**3 - 23*q**2 - 59*q + 21. Suppose 0 = 4*w + 5*g + 100, -w - 2*g = 4*w + 108. What is the smallest common multiple of a(w) and 36?
36
Let k = -88 - 74. What is the common denominator of (5/(-10) - (-19)/k)/1 and 63/8?
648
Suppose 31*h + 299 = 9320. Suppose h*g - 15 = 286*g. What is the least common multiple of 2 and g?
6
Let i = 782 + -1517/2. Find the common denominator of 26/7 + -4 + 2306/3024 and i.
216
Let u = 304/193 + 23845/1158. Find the common denominator of u and -55/2248.
6744
Suppose 6*k - 9*k = -4*z - 130, -5*z + 79 = 2*k. Calculate the common denominator of -94/75 and (49 - 51) + (178/k)/1.
525
Let m = -2/33147 + 1602169/1060704. Find the common denominator of m and 5/((-30)/114) + 92820/5600.
480
Let i(h) = h + h**2 - 4*h - h + 5*h - 1 + 3*h**3. Let n be (-9)/6*4/(-6). Calculate the least common multiple of i(n) and 7.
28
Let p = -14588008/189 + 77185. Find the common denominator of p and 5/483.
4347
Let w = -255 + 252. What is the common denominator of 68/15 and ((-2)/w)/1*(-10506)/(-680)?
30
Let n = -15 - -17. Suppose -55*x + 1970 = -693 - 1077. What is the least common multiple of n and x?
68
Let g be 14/(-77) - 2290/22. Let z be 20582/(-220) - 8/(-44). Let y = z - g. What is the common denominator of -93/14 and y?
70
Let x = 1120 - 1100. Suppose 9*r = 15*r - 540. Calculate the lowest common multiple of r and x.
180
Let s(o) = -14*o**3 + 3*o**2 - 6*o - 16. Let t be s(-2). Calculate the common denominator of 182/t - (-35)/(-10) and -173/84.
420
Let d(x) = -5*x**3 + 8*x**2 + 2*x + 1. Let w(k) = -6*k**3 + 10*k**2 + 4*k. Let l(u) = 5*d(u) - 4*w(u). Calculate the smallest common multiple of 40 and l(-3).
200
Let m(l) = -1 + 3*l - 20 - 10 + l. Let i be -3 - (0 + -7) - (13 - 17). Calculate the smallest common multiple of m(i) and 2.
2
Let g(y) = y**2 + 8*y + 27. Suppose 292 = -4*r - 3*v + 28, 5*r = -5*v - 325. Let h = r + 63. Calculate the least common multiple of g(h) and 45.
45
Find the common denominator of ((-22)/(-4))/((-56)/(-7)) and 1 + 57/216*-3.
48
Let d = 42633/72094 + -67/113. Calculate the common denominator of -45/121 and d.
7018
Let p = 6047/138474 + -13/314. What is the common denominator of 53/51 and p?
7497
Suppose -11*o + 27296 = -43*o. Let v = o + 871. Calculate the common denominator of v and ((-2)/8)/((-2)/(-23)).
8
Let r = 5852 - 5756. What is the smallest common multiple of 1920 and r?
1920
Let n = 3298 - 6795. Let h = n - -202777/58. What is the common denominator of h and ((-3)/54)/(2/(-453))?
348
Let f = -2013/905 + -1/1448. Let y = -8817/8 - -15632557/14184. Let v = 52607/7092 - y. What is the common denominator of v and f?
120
Let s = -1655/2 - -789. Calculate the common denominator of s and -2 - 485/(-10)*(-2 + 1).
2
Let j = -3173 + 3257. Calculate the least common multiple of 300 and j.
2100
Let n be 88/264 - (24976202/11066400 + -1). Let q = n + -1/230550. Find the common denominator of 55/32 and q.
288
Let k = 39187 - 7327950/187. Find the common denominator of -105/748 and k.
748
Suppose -4*f + 23 = -1. Let q = 2/2737 - 9777/2737. Calculate the common denominator of (-2)/f*(-833)/70 and q.
210
Let n(d) = 27*d**2 - 6*d + 2. Let g be n(4). Let u = g - -650. What is the common denominator of 4/(-10)*u/(-48) and -17/33?
66
Let a = -8339829656381/780 + 10692073427. Let h = -13360384/5 + 2687952. Let d = h + a. Calculate the common denominator of 91/10 and d.
780
Let z(j) be the second derivative of 0 - 1/20*j**5 - 1/3*j**4 - 2*j - 2*j**2 - 5/6*j**3. What is the lowest common multiple of z(-4) and 4?
16
Let s = -12599 + 113366/9. Find the common denominator of -103/11526 and s.
34578
Suppose -3*x - 25045 = -4*s, 3*s - 18805 = -2*x - 0*x. Let d be 2/(-11) - 2069919/(-330). Let r = d - s. Calculate the common denominator of r and 53/9.
90
Let f(v) = v + 21. Suppose 4*u - 4 = 2*j + 4, 1 = -u - j. Let g be (u*9/12)/(1/(-4)). C