
649
Calculate the common denominator of ((-5)/40)/(15/996) and (-8)/6 + 1 + (-4180)/(-528).
60
Let r be (-82*(-4)/(-468))/(28/4650513). Let s = r + 116403. Calculate the common denominator of 25/8 and s.
312
Suppose 1369 = -8*c + 207*c - 5795. Let d = -21 + 23. What is the smallest common multiple of d and c?
36
Let q = 14517 + -14514. What is the smallest common multiple of 834 and q?
834
Let g(n) = n**2 - 8 - 5 - 12*n - 16 - 7. Let m(r) = -r**3 - 4*r**2 + 11*r + 9. Let u be m(-6). Calculate the least common multiple of g(u) and 46.
414
What is the common denominator of 2/16 - ((-28)/16)/(-7) and -18/1241?
9928
Let t = 1/7333 - 95362/241989. Suppose 2 = u - 2*u. Find the common denominator of t and u*1 + 403/78.
66
Let b(i) = 10*i**2 + 207*i - 30. Suppose -2*q + 9 = 3*p, -2*p + 23 - 93 = -5*q. What is the least common multiple of b(-21) and q?
132
What is the common denominator of 14 - 4830/4459 - 13 and -93/490?
6370
Suppose -w = -2*t + 18, -3*t + 4*t - 5*w + 9 = 0. Let b = -388 + 389. Suppose 0 = -2*h + h + b. What is the least common multiple of h and t?
11
Let h = -6628 - -6724. What is the smallest common multiple of h and 288?
288
Suppose 0 = -122*l + 24958 + 13106. Calculate the least common multiple of l and 420.
10920
Suppose 3*u - 86 + 29 = 2*r, -4*r - 159 = 3*u. What is the common denominator of ((-5000)/(-280))/(r/14) and -35/12?
36
Suppose -5*q - 65 = 3*b, -45 = 5*q - 0*b - b. Let f be (-1138250)/102320 - (-9 - -7). Let w = f - 3/5116. Find the common denominator of q and w.
8
Let q(r) = 2*r**3 - r**2 - 4*r + 11. Let b be q(-5). Calculate the common denominator of 3 - (b/72 + 3) and -85/6.
18
Let c = 668 + -638. Calculate the lowest common multiple of 45/c*((-2)/(-2) - -21) and 27.
297
Suppose -3*j = 4*m + 21, 3*j - 4 = -1. Let i(b) = 166*b - 6088. Let k be i(37). What is the common denominator of m/2 + 140/k and 74/33?
297
Let p = 61514/15 - 4101. Find the common denominator of 16/165 and p.
165
Let y = 263366434049/1406760 + -265/281352. Let v = y + -186978. Let h = v - 160967/680. Calculate the common denominator of h and -1/12.
408
Let d = -26633/44864466 - -2/3957. Let s = 561151/907040 - d. Calculate the common denominator of 33/16 and s.
160
What is the smallest common multiple of 1314 and 22 - (((-7)/(-14))/(-1)*0 - -7)?
6570
Find the common denominator of -47/195 and ((-1)/6)/((-279)/(-3844)).
1755
Let b be 42263666/30533360 - (-2)/22. Let j = b - 2/22451. What is the common denominator of ((-70)/(-49))/5 + (-808)/770 and j?
440
Let a = 14109 - 9607. Suppose 3*z = 313 + a. Let t = -8071/5 + z. What is the common denominator of 55/2 and t?
10
Find the common denominator of -71/12 and 96/(-1920) + (-41)/(-50).
300
Let w(o) = 5*o**2 + 119*o - 1642. What is the lowest common multiple of w(15) and 951?
3804
Find the common denominator of -97/12 and 602/215 - (-29374)/(-10540).
31620
Let z = -2636 + 2706. Suppose -7*g = -13 - 43. Calculate the smallest common multiple of g and z.
280
Let g = -25 - -27. Suppose -115 = g*a + 589. Calculate the common denominator of -139/18 and 1*(584/a + 2/8).
198
Let c be 4/(627/(-186) + 3). Let u = c + 16969/1610. Calculate the common denominator of u and -64/35.
70
What is the common denominator of (-12)/(-3) - (554/20)/((-270)/(-27)) and 59/20?
100
Suppose -4*b - 9*g + 11*g = -1472, 2*g = 2*b - 734. Let j = -209 + b. Calculate the least common multiple of j and 4.
160
Let s = 6095 + -5920. What is the least common multiple of s and 300?
2100
Let b = 1005/4 - 249. Find the common denominator of 1059/189 - (-26)/91*1 and b.
36
Suppose 2*c = 5 + 3. Suppose -28*d = -34*d + 102. Suppose 2*t + d = -5*w, 2*t - 7*t + 5 = 3*w. Calculate the smallest common multiple of c and t.
4
Let q = 101245/679448 + 3/8824. Let n = q + -6143/2464. Calculate the common denominator of n and 33/80.
160
Suppose -299 + 4 = -5*o - 5*u, u = 3. Suppose 25 - 190 = -5*r. What is the least common multiple of (-15)/35 + 1704/o and r?
330
Suppose -3*c - 3*c = -4*c, 1140 = 2*w + c. What is the smallest common multiple of w and 2?
570
Let j be (-7)/((-28)/26) + (-1)/(-2). Let r(v) = v**3 - 7*v**2 + 6*v + 5. Let p be r(j). Let c = p - 25. Calculate the least common multiple of c and 30.
330
Suppose -5*h = -2*z + 103, 3*z + 3*h - 23 = 79. Suppose -49 - z = -4*i. Calculate the smallest common multiple of i and 8.
88
Let i = 7/102 - 127/34. What is the common denominator of 23/531 and i?
531
Let s = 285 + -412. What is the least common multiple of 4 and -4 - (0 + -2 + s)?
500
Let n = -980/41 + 95351/3936. Let c = 26772/11 - 4284279/1760. Find the common denominator of n and c.
480
Let u = 14132 + -3448209/244. Find the common denominator of u and -53/10.
1220
Let f = -734994853 + 222245530. Let d = f - -2011002705579/3922. Let i = d + -2/1961. What is the common denominator of i and 7/13?
26
Suppose 16*t + 3 - 147 = 0. Suppose 0 = t*w - 14*w + 120. Let j = -620/7 - -17637/203. What is the common denominator of w and j?
29
Let w(g) = 2*g**2 + g. Let u be w(-5). Calculate the common denominator of (114/33)/(12/(-15)) and u/(-18)*126/80.
176
Let y be 12/(-4) - 836099/(-232804). Let s = 25/572 + y. What is the common denominator of 115/24 and s?
888
Let w = 2859587/90 + -31772. Let d = 159 - 157. Calculate the common denominator of w and (-1618)/(-252) + d + 112/(-63).
630
What is the common denominator of ((-20)/8)/(1563405/(-1989)) and -137/6?
36786
What is the common denominator of (-24)/276 + ((-23106)/(-10212) - 3) and -69/104?
3848
Suppose -2*m + 4*y = -1548, 3*m = 4*y - 206 + 2516. What is the smallest common multiple of 889 and m?
5334
What is the common denominator of 101/162 and 5 - ((-28)/70 - 383/(-1020))*-202?
2754
Let u be 1 + (10/55 - (-9408)/44). Let v = 243 - u. What is the least common multiple of v and 108?
756
Suppose 3483 = -59*f + 188*f. Calculate the smallest common multiple of f and 612.
1836
Suppose 40*x - 48*x + 72 = 0. Suppose 175 = x*t - 2*t. Find the common denominator of 2/4 + 70/t and -16/49.
490
Let y = -2040 - -2200. Calculate the lowest common multiple of y and 12.
480
Let i be 1 - 1/1 - 65382877750533/60300. Let q = i - -1084293163. Let c = q + -1/804. Calculate the common denominator of c and 83/4.
100
Let s(v) = 11*v**3 - 29*v**2 - 26*v + 25. Let h(q) = 4*q**3 - 10*q**2 - 9*q + 8. Let f(g) = 8*h(g) - 3*s(g). What is the smallest common multiple of f(7) and 3?
93
Calculate the common denominator of -41/20 and (2/4404)/(86/(-2322)).
7340
Let y be -58*3/(1 - 7). Suppose y = -4*b - v, 0 = 2*b + v + 1 + 14. What is the common denominator of 143/6 and 2/b + (-503)/(-70)?
30
Suppose -21*y + 2618 = -217. Suppose 4*f - 21 = -a, f + y = 6*a - 2*a. Calculate the lowest common multiple of 9 and a.
99
Let i = -4 - -6. Suppose 0 = -t + i*t + 2*g - 10, -2*g = -8. Suppose -t*u = 8, 5*u = -5*w + 32 + 98. What is the lowest common multiple of 3 and w?
30
Let t(d) = d**3 + 36*d**2 - 166*d + 46. What is the least common multiple of t(-28) and 14?
76762
Let p = 193/726 + -43561/145200. What is the common denominator of 67/1680 and p?
8400
Calculate the common denominator of 2*(-1)/(-18)*1590/(-24970) and 40/2043.
22473
Let h be (-20)/130 + 3096/13. Let d = 293 - h. Calculate the smallest common multiple of 55 and d.
55
Let x = -715 - -724. Calculate the smallest common multiple of x and (-7*1 - 2)/(19/(-95)).
45
Suppose 28*w = -61*w + 7832. What is the lowest common multiple of 32 and w?
352
Find the common denominator of -103/3036 and 1 - -10 - (45103/2442 + -9).
3036
Find the common denominator of 155/1656 and (-10)/120*(2/(-6) + (-2793)/(-1512)).
19872
Let i be (-24)/(-9)*(-78 - 18/3). What is the common denominator of (4272/i)/((-180)/35) and 83/16?
48
Let a = 164 - 162. Calculate the common denominator of 12/13 and 3/a*(-10)/(-120).
104
Let w = 9365/8 - 65789141/56200. Let a = 49283/379350 + w. Calculate the common denominator of a and 67/42.
378
Let q = -9233 + 10481. What is the lowest common multiple of 42 and q?
8736
Suppose -2*v - 14 = -n - v, 0 = -3*v + 15. Suppose -178 + 634 = n*g. Calculate the least common multiple of g and 66.
264
Suppose 0 = 5*h - 5*y - 296705, -5*y = 4*h - 31799 - 205529. Calculate the common denominator of (-4)/1 + h/3528 + -13 and -25/14.
392
Suppose -199692 = -207*r - 47961. Wha