-198*c. What is the least common multiple of 48 and f?
96
Calculate the common denominator of 31/294 and (-32)/((-34560)/(-546)) - 3/10.
1764
Let o = 257380175/2738 + -94003. Find the common denominator of o and 43/592.
21904
Let p(o) = 610*o**2 + 19*o - 5. Let j be p(-6). Let v = -9876 + j. Let r = 287113/24 - v. Find the common denominator of 31/36 and r.
72
Let a = 5495 - 38505/7. Calculate the common denominator of a and -32/1135.
7945
Let i(g) = -g**2 - 4*g + 7. Let t be i(-5). What is the common denominator of (-9)/((-207)/115) + (-110)/36 and (235/34 - t) + -2?
306
Let w = -3450 + 117345/34. What is the common denominator of w and 41/294?
4998
Let c = -430390821/5861 - -73433. Let i = 697315/105498 - c. What is the common denominator of i and -101/838?
7542
Let v(r) = r**3 + 3*r**2 - 2*r - 3. Suppose h - 22 = -22. Suppose -5*u - 4*f = -h*u - 16, -7 = -2*u - f. Calculate the least common multiple of u and v(-2).
20
Suppose 101 + 4 = -5*y. Calculate the common denominator of (-68)/(-50)*1/2 and (3/y)/(1/(-32)).
175
What is the common denominator of (-14096)/25088 - (-1)/2 and 101/588?
4704
Let x(c) = -c**3 + c**2 + 15*c - 6. Let n be x(-3). Calculate the common denominator of -1/9 and n/9*130/25.
9
Let q(h) = 48*h - 283. Let d be q(6). What is the smallest common multiple of ((-96)/(-320))/((-3)/(-4))*d and 2?
2
Suppose 26*r + 1346 = 33638. Let a = r - 22373/18. Calculate the common denominator of a and -1/93.
558
Suppose -4*d + 175 = 3*r, 3*r - 155 = -4*d + 4*r. Let y = 562 + -560. What is the least common multiple of y and d?
40
Suppose -2*x - 5*m = -90, -4*m - 154 = -4*x - m. What is the smallest common multiple of 4/26 - 300/(-78) and x?
40
Suppose 0*a - 4*a + 4331 = -w, -w - 5414 = -5*a. What is the least common multiple of 5 and a?
5415
Find the common denominator of 41/741 and (8/78)/(197/(-310) + 16/(-248)).
5187
Let o(j) = -437*j - 52. Calculate the lowest common multiple of o(-2) and 3.
822
Suppose 9*z = 12*z + 69. Find the common denominator of 2/(-12) - -5*z/12 and (243/(-60))/((-10)/(-25)).
8
Let h = 1706899/378 - 4516. Calculate the common denominator of -23/1386 and h.
4158
Let q = 2058/11 + -261036/1397. Calculate the common denominator of q and 57/4.
508
Let l(k) = -k**3 - 23*k**2 - 4*k - 4. Let i be l(-23). Let q = i - 103. What is the common denominator of -91/12 and ((q - 4)*1)/((-6)/9)?
12
Let k be 791*(108/(-14) - -8). Let z = -206 + k. Calculate the lowest common multiple of 9 and z.
180
Let u be 430/129*(2551/5 + 1). Let l = u - 30691/18. Find the common denominator of 59/20 and l.
180
Find the common denominator of -109*(11/(-308))/((-243)/6) and -13/1890.
5670
Let n = 1104657/294448 + -872/239. Find the common denominator of n and 23/1232.
1232
Let z = 46 - 36. Let g be (-2)/z + 13595/15975. Let a = g + 9/71. Find the common denominator of 15/4 and a.
36
Let l = -14103/340 + 638/17. Let b = -80 - -73/2. What is the common denominator of l and b?
20
Suppose 3*d + w - 51 - 85 = 0, 0 = -3*w + 12. What is the lowest common multiple of 608 and d?
6688
Suppose -3*k - 2*k = d - 10, -2*d + 76 = -4*k. Suppose d*g = 44*g - 560. What is the least common multiple of g and 35?
280
Let s = -7742279941/3640 + 2127000. Calculate the common denominator of s and -47/8008.
40040
Let r = -356/171 + -28/19. Let x = 16717/6 + -2806. What is the common denominator of x and r?
18
Suppose 0 = -6*k + 207 + 1413. Let s(p) = p**3 - p**2 - 3*p. Calculate the least common multiple of s(3) and (k/(-12))/((-2)/4).
45
Suppose 27*t = -0*t - 648. Calculate the lowest common multiple of 388 and t/10*((-304)/24 + 6).
1552
Suppose 3004*u - 83 = 3003*u. Calculate the smallest common multiple of 11 and u.
913
Suppose 6*x + 2862 = 786. What is the common denominator of (-20)/(-5) + 33/(-60) and (-5 - x/40)*-2?
20
Suppose -2*u = 10 + 12. Let f = -6 - u. Calculate the common denominator of 3 - f - (-285)/10 and -9.
2
Find the common denominator of (-1)/(198/(-55)) + -8 and -17/50.
450
What is the smallest common multiple of 528 and (-68)/(-2) + 45 + -49?
2640
Let c = -12883 - -8644491/671. Let j = -6007/10736 + c. What is the common denominator of j and 95/188?
752
Suppose -3*a = -12, -f = 4*f - 2*a - 12. Let t be f*15/20 - 3024/1010. Let n = -24778/5555 + t. What is the common denominator of 91/16 and n?
176
Suppose 1 = -5*f - 9, -2*y + f = -8. Suppose -y*x + 231 = 4*r, -12*r + 10*r + 132 = -4*x. Calculate the least common multiple of 24 and r.
120
Suppose 0 = 5*k + 2*k - 5*k. Let y(a) = 2*a**2 + 2*a. Let p be y(k). Suppose 4*b + d + 79 = 0, b + 3*d + p*d = -17. Find the common denominator of b and -33/8.
8
Suppose 0 = 4*z - 937 - 1543. What is the common denominator of 143/30 and 1829/z + 2/(-6)?
60
Let t(p) = 70. Let i(v) = v + 142. Let b(h) = 3*i(h) - 5*t(h). Find the common denominator of 64/111 and b(-25).
111
What is the lowest common multiple of (-1 - -3)/(34/204) and 204?
204
Let z = -30 + 145/4. Calculate the common denominator of 111/494 and z.
988
Suppose -1350 = 284*k + 272*k - 565*k. What is the least common multiple of 180 and k?
900
Suppose 5*b + 3*y = 7*y + 1092, y + 218 = b. What is the common denominator of 138/56 - 2/8 and 230/b - (2 - 3)?
154
Suppose 0 = 25*i - 1035 + 160. Suppose -32*g - 162 = -i*g. Calculate the least common multiple of g and 22.
594
Let m = 82/7 - 746/35. Let p = -1169/3 - -395. What is the common denominator of m and p?
15
Let l = -5409 - -10189. Let i = l + -28567/6. What is the common denominator of 20/63 and i?
126
Suppose 103*i - 120 - 912 = 1028. Let p(b) = 37*b**2 - 3*b + 4. What is the least common multiple of i and p(-4)?
3040
Let y = -544/305 + -1/61. Let l = -18337319/6 + 45751479109/14970. Let u = -2/499 - l. Calculate the common denominator of y and u.
5
Let q = 4584/211 - 12752957/586791. Find the common denominator of q and -11/324.
33372
Let o = -1742 - -31337/18. Calculate the common denominator of ((-529137)/1386)/227*-1*1/8 and o.
1584
Let h(y) = 4*y**2 + 56*y + 747. What is the least common multiple of 2 and h(-23)?
3150
Let w(x) = x**2 + 13*x + 18. Let k be w(-12). Suppose -z = 5*m + 129, -4*z + 3 = -m - k. Find the common denominator of (m/(-10))/5*-81 and 67/18.
18
Suppose 4*h + 4*s = 0, -3*h - 2*s + 6 = 3*s. Find the common denominator of 37/32 and 1/h - 66/8.
96
What is the common denominator of 54/540 + (-3 - -4 - 2129/2030) and 98/1305?
9135
What is the least common multiple of 21 and 162/(-729) - (-102070)/45?
2268
Suppose -3*v - 2*x = 10, 0*v + 4*v + x = -15. Calculate the common denominator of (3/4 - 1) + (-94)/v and 8/5*(-28)/(-49).
140
Let b = 121222202 + -175773457. Let m = b + 37094839301/680. Let t = -203/10 - m. Calculate the common denominator of t and 85/8.
136
Let c = -5592 + 257249/46. Find the common denominator of 67/224 and c.
5152
Let d = -17 - -19. Let s = 682/27 + -3655/108. What is the common denominator of ((-18)/81)/(29/13 - d) and s?
108
Suppose 926 = 79*l + 19*l - 838. Let a = 423 - 233. Calculate the smallest common multiple of a and l.
1710
Suppose -3*r + 2*g = -490, 5*r + g - 294 - 501 = 0. Let y be ((-902)/5)/((r/75)/(-8)). Let l = y - 634. Find the common denominator of l and -49/16.
16
Let p = -6551 + 7036. What is the least common multiple of p and 35?
3395
Let t = -4020901/99 - -40616. What is the common denominator of -47/9 and t?
99
Let j = -24625/9 + 2740. Find the common denominator of j and -32/2441.
21969
Let x be (-5)/(-6 + 2463/411). Let p = 863 - x. What is the lowest common multiple of p and 8?
712
Let p = -954 - -956. Calculate the common denominator of 2/(-8) - (-32)/(-10) and (p/(-2) + 2)*(-3145)/(-222).
60
Suppose 14 = 2*s - 2*d, 22 = s + 9*d - 7*d. Suppose -3*k = -6 - 12. Suppose -2*v = -2 - k. Calculate the least common multiple of s and v.
12
Let m = -7388034639 + 157217377060481/21280. Let n = -13/665 + m. What is the common denominator of 139/84 and n?
672
Suppose 2*w - 4 = -0. Let t(n) = -9*n + 4 - 11*n**2 + 10*n**w - 3. Calculate the lowest common multiple of t(-9) and 18.
18
Suppose -2*g + 0*g = -4992. Let v = 35232 - 35212. What is the lowest common multiple of g and v?
12480
Let i be 2822/(-288) - 2/(-9). Let u = -104/9 - i. Calculate the common denominator of u and 33/40.
240
Let x = -2609 - -2705. Let t(l) = l**3 - 10*l**2 + 8