
Let f = 574/51 + 160/17. Calculate the common denominator of -199/3420 and f.
3420
Suppose -91*h = -81*h + 56940. Let c = 275613451/16 - 17220150. Let x = h + c. Calculate the common denominator of -21/34 and x.
272
Let v(h) = h**2 + h + 6. Let i be v(0). What is the common denominator of 6/24*(-5)/i and (4 - (1518/108 + -10)) + 0?
72
Let g = 1201529 + -1218350311/1014. Calculate the common denominator of 50/507 and g.
1014
Let p be (-18)/6*(-2)/3. Suppose 1 = -j + p*j. What is the smallest common multiple of 18 and j*-9*28/(-42)?
18
Suppose 0 = 3*f - 2*r - 198, -80*f + 94 = -78*f + 5*r. What is the lowest common multiple of 8 and f?
248
Let m be (3/4 - 1)/(77/616). Find the common denominator of -20/77 and (3984/(-96))/(61/m - 1).
693
Let k(b) = -2*b**2 + 31*b + 23. Let g be k(16). Find the common denominator of (g/63)/(10/(-147)) and 47/(-10) - 6/15.
30
Let q = 4927148547655/743426868159 - -69/227243426. Let i = -12/727 + q. Calculate the common denominator of i and 91/45.
90
Find the common denominator of (7106/(-4845))/(8/22) and 157/6882.
34410
Let o = -23464/20617 - -61/53. Let s = o - -5007/3890. What is the common denominator of s and -9/26?
130
Let b(z) = -60*z**3 + z**2 + 2*z. Suppose -2 = 5*w + 3. Let g be b(w). Suppose -51 = -11*d + g. What is the smallest common multiple of 2 and d?
10
Let m = 54 - 27. Let r = -205 + -651. Let z = 859 + r. Calculate the least common multiple of z and m.
27
Suppose 5*u + 1 - 6 = 0. Let m = 27/293 - 2194/7911. Calculate the common denominator of (u/18)/((-1)/(-152)) and m.
27
Let l = 38752 - 34132. Calculate the lowest common multiple of 352 and l.
36960
Let p = -339 - -338. What is the smallest common multiple of -1*(p + -26 - 3) + 2 and 6?
96
Let g be 4/6 - 78/(-18). Suppose -5*p + 2*p - 35 = -5*d, -g*d = -2*p - 35. Suppose -20 = d*r - 12*r. Calculate the lowest common multiple of 21 and r.
84
Let l(j) = -j**3 + 14*j**2 - 16*j - 6. Let d be l(14). Let f be d/(-60) + -1 + (-7)/(-6). Find the common denominator of ((-51)/(-27) - 1)*(-29)/f and -103/10.
90
Let a = -32845213279533/46 - -713993923621. Let o = 32458871 + a. Let p = -6849 + o. What is the common denominator of p and -73/10?
230
Let j = -80327333/574 - -139943. Find the common denominator of 87/82 and j.
574
Let v(h) = -8*h - 25. Let u(m) = -7*m - 26. Let r(o) = 6*u(o) - 5*v(o). Let y be r(-20). Calculate the smallest common multiple of (6/y)/(8/84) and 45.
315
Calculate the common denominator of -55/21 and (0 + (-14)/235)*(-88)/528.
4935
Suppose 16*f - 72*f + 110 = -898. What is the smallest common multiple of f and 632?
5688
Suppose -4*w = -3*h + 667 - 147, 4*w = 5*h - 880. Suppose -h = 339*m - 345*m. What is the least common multiple of m and 9?
90
Suppose -n + 184 = -2*c, 4*n - 629 - 99 = 4*c. What is the lowest common multiple of 204 and n?
3060
Calculate the common denominator of (-1)/2*2238/(-300) + (-54 - -50) and 81/440.
2200
Let r = 250603/16 + -15669. Let s = 19 + 537. Calculate the common denominator of r and -1 - (-2 - s/(-24)).
48
Let d(m) = -42*m + 75. Let h be d(0). Suppose 579*a - 578*a - h = 0. Calculate the lowest common multiple of 15 and a.
75
Let n be 8/(-20) - (-23326)/(-60). Suppose 0 = 5*b + 9*b - 5460. Let a = b + n. Calculate the common denominator of 55/8 and a.
24
Let h be (10/90*3)/(3/(-45)). Find the common denominator of 2157/387 + (h - 1) and -52/9.
387
Let d = 40 + -47. Calculate the common denominator of (19/42)/(d/21) and -2*(-1)/4 + (-146)/32.
112
Suppose -44095 - 60386 = -57*f. Calculate the least common multiple of 188 and f.
7332
Let o be 2 - (296/32 - 2/8). What is the least common multiple of (-12)/o + (2 - 60/35) and 3/(12/148) - 1?
36
Let k = -110111/34 - -3239. What is the common denominator of -7/136 and k?
136
Let z(r) = -r + 15. Let y be z(7). Suppose n + 5*j - 3 = 0, 5*n + 4*j = j + 37. Calculate the least common multiple of n and (y/(-5))/(10/(-75)).
24
Calculate the common denominator of 35/514 and 149/(-84) - (-59)/(-236) - 0.
10794
Calculate the common denominator of (4/42)/(210/7595) and 11/1418.
12762
Suppose 5*f + 45 = 2*s, -37 = 4*f + 3*s - 1. Let k = f + 0. What is the common denominator of (11/k)/((-6)/45) and -38/21?
42
Suppose 3*v + 97*v - 550 = -250. What is the lowest common multiple of 1446 and v?
1446
Let a = 175 + -85. Suppose -150 = -4*x + 3*v, 0 = 4*x + v - 68 - a. Calculate the least common multiple of 3 and x.
39
Suppose y + 12 = -y + 56. What is the least common multiple of 1214 and y?
13354
Suppose -47 = -4*v - 7. Find the common denominator of ((-2)/v)/(5*10/(-2275)) and 33/10.
10
Let t = 31 - 32. Suppose 0*n + 40 = 5*n. What is the least common multiple of n and ((-25)/5)/(t/4)?
40
Suppose 0 = 4*u - 10 - 2. Let b(q) = 6*q**3 - 6*q - 12*q**3 - q**2 - 5 + 7*q**u - 5*q**2. Calculate the common denominator of 16/5 and b(6).
5
Let b(p) = p**3 - 4*p**2 + 77*p - 374. Calculate the least common multiple of b(5) and 945.
3780
Calculate the lowest common multiple of 45 and (-15)/(22308/(-1392) - -16).
5220
Calculate the lowest common multiple of (13/(-26))/((-4)/824) and 100.
10300
Let v = 11111242902791/29665782 + -184648139/493. Let u = -1/10029 - v. Find the common denominator of u and -17/15.
90
Suppose 3*f + 735 = 3*k, -7*f + 5*f - 736 = -3*k. What is the common denominator of 31/37 and (-9)/(135/k)*15/20?
370
Let n be 1 + -3 + (-531604)/(-112)*-5. Let u = n + 23737. Find the common denominator of u and 31/91.
364
Let b(a) = 5*a**2 + 3*a - 26. Let f be b(4). Suppose -6*d = -9*d - f. What is the smallest common multiple of 32 and d/(-4) + (-21)/(-14)?
224
Let k be (2/10)/(-87*(-60)/36). Let m = k + -55103/2175. Calculate the common denominator of 14/27 and m.
27
Find the common denominator of -121/504 and 6050/2520 + (-2)/(5/(-5)) - 4.
504
Let o = 12359488 + -19972930163/1616. Let k = 187764/101 + -1859. Let n = o + k. What is the common denominator of n and 113/6?
48
Let a = -23399 - -24631. Calculate the lowest common multiple of 1760 and a.
12320
Let h = -24246 - -24288. What is the smallest common multiple of 816 and h?
5712
Let i = -22089/1220 - -1382/61. What is the common denominator of i and -5/306?
3060
Let m = 508007 + -345444853/680. Find the common denominator of m and -91/110.
7480
Let o(y) = y - 8. Let c be o(0). Calculate the common denominator of (-160)/11*1/c*-2 and -36/19.
209
Let v = 4/413847 + 215498/63338869503. Let i = v - 22192333/17447586. Find the common denominator of -83/6 and i.
114
Find the common denominator of 65/1584 and (59041/4896 - 4 - (0 + 5)) + -3.
3168
Let b(w) = -w**3 + w**2 + 22. Suppose 3*y - 11 = u, 4*y + 2*u + 2 = -0. Suppose 5*j - 36 = y*j. Calculate the smallest common multiple of b(0) and j.
132
Let g(d) = -3*d**3 - 30*d - 4. Let m be g(-8). Suppose 14*o - 748 = m. What is the smallest common multiple of 20 and o?
180
Suppose 3*o - 15 = -6. Let w = 5189 + -62323/12. What is the common denominator of 65/(-1794)*42/o and w?
276
Find the common denominator of -2*4 + (3376/56)/((-1304)/(-172)) and 125/3912.
27384
Let c be -12*13/104*(-32)/(-6). Let m(r) = r**3 + 8*r**2 - 17*r + 14. Calculate the lowest common multiple of 90 and m(c).
450
Let r = 28310 - 116552269/4117. Let q = r + 415797/82340. Calculate the common denominator of 121/18 and q.
180
Let o be 0 + (-1 - (-6 - -3)). Let f(c) = -c**2 + 5. Let j = -28 + 36. What is the least common multiple of f(o) and j?
8
Let z be (-10485291)/(-5040) + (-7 - (-213)/30). Let q = -12487/6 + z. What is the common denominator of q and 47/70?
560
Find the common denominator of 74/27 and (-2760)/(-1140)*3/1782.
5643
Suppose o = -4*o - 2*i + 20, -4*o + 44 = -4*i. Let f = 3799 + -3791. Calculate the smallest common multiple of f and o.
24
What is the common denominator of -157/910 and (3 + 1070/(-294))/((-260)/(-30))?
6370
Suppose -2*r + 6 = -0*r. Suppose -r*j = 2*o - 44, -j = -3*j - 4*o + 24. Calculate the least common multiple of j and ((50/125)/(1/6))/((-4)/(-10)).
48
Suppose -5151 + 19779 = 23*w. Calculate the lowest common multiple of w and 530.
3180
Let b = 2878 - 1459150/507. What is the common denominator of b and -52/33?
5577
Let r(q) be the second derivative of -3*q**5/20 + 3*q**4/4 - q**3/2 + 7*q**2 + 48*q. What is the common denominator of 1 + (1 - 13/21) and r(4)?
21
Let v =