t j be (-2)/4 - (-30)/c. Calculate the least common multiple of 16 and (70/25)/(j/(-15)).
112
Let q = -7089/1424 - -59/356. Find the common denominator of q and (-3)/12 - (-254)/(-536).
1072
Suppose -18*v + 209 = -7. Suppose 0 = 2*l + 3*l - 35. Let j = 45 - l. What is the smallest common multiple of j and v?
228
Let i = 3275238892/3249 + -1008076. Find the common denominator of i and 31/27.
9747
Let r = -484 - -660. Suppose -4*u + 5*y = -135, -u + y = -6*u + r. What is the lowest common multiple of 112 and u?
560
Let l be (3 - 1) + (20 - 2). Let r = 3/157 - 2053/628. Calculate the common denominator of (110/15)/(l/(-18)) and r.
20
Let i = 14298559/108 - 132393. Calculate the common denominator of -61/90 and i.
540
Suppose 0 = 5*s - 4*d - 26, -2 = s + d - 0. Suppose -2*t + 2*z + s = 0, -5*t - 3*z + 2 = -3. Let c = 87 + -35. What is the lowest common multiple of c and t?
52
Let q(d) = -2*d**3 + 5*d**2 + d - 13. Let f be q(4). Let r = f + 65. Calculate the common denominator of -7/8 and (3/(324/21))/(r/12).
24
What is the common denominator of ((-14)/(-140))/(10488/11305) and 29/15?
5520
Suppose -z - 4*t = -24, -13*z + 14*z = -t + 42. What is the least common multiple of 342 and z?
2736
Let h = -3051367/880215 + -3/58681. Let l = -2110/9 + 13627/63. Let y = 1049/42 + l. Find the common denominator of h and y.
30
Suppose -7*s + 6515 = -12*s. Let l = s + -445. Calculate the common denominator of 18/171 + (-1070)/l and 39/22.
506
Let g be (-115)/(-7) + 7/49*-3. Find the common denominator of (4/g)/(4/(-376)) and 1/20.
20
Let v = 9103989199/3290 - 2767170. Calculate the common denominator of -17/2585 and v.
36190
Let y = -110 - -194. Find the common denominator of -125/48 and (-2)/(-9) - y/15120.
240
Let d be -145*(-5126)/3465 + 2/(-7). Let k = -13736/63 + d. Calculate the common denominator of 6/49 and k.
147
What is the common denominator of 9/81 - ((-1855)/(-360) + -4) and -41/577?
13848
Let p = 17548615 + -631838099/36. Let k = p - -2442. Calculate the common denominator of k and -67/6.
36
Let c(t) = t**3 - 3*t**2 - 12*t + 7. Let y be c(5). Let q be 454/(-1328)*y*6. Let p = 8/83 + q. What is the common denominator of -25/12 and p?
12
Calculate the common denominator of 59/330 and (-1522)/(-495) - (0 - -3).
990
Let b = 52731 - 9386205/178. Find the common denominator of (-20)/30 - -7 - (-6)/9 and b.
178
Let g(l) = -15*l + 1310. Calculate the smallest common multiple of g(-58) and 2180.
2180
Suppose -2478 + 892 - 3358 = -412*x. Calculate the least common multiple of 12052 and x.
36156
Let b be 36/45*(-5)/2. Let z be b/(-9) - 9/2592. Let l = z - 619/160. Calculate the common denominator of l and 101/12.
60
Let z = -4164 - -4495. What is the lowest common multiple of 10 and z?
3310
Suppose -124*p + 34007 = -28489. What is the least common multiple of p and 12?
504
Let l be (4*747411/56)/120. Let v = l + -2211/5. Calculate the common denominator of v and 151/1014.
8112
Let t be (5 + -3)/(1/10). Suppose 0 = -i + 29*u - 27*u - 4, -5*i = 3*u + t. What is the common denominator of -15/19 and i?
19
Let u be 7468/(-6) - (-1 + 1). Let o be 58/290 + (-24991)/(-20). Let k = o + u. What is the common denominator of k and 133/6?
12
Let g be 4 - 6/36*0. Suppose g*x + 262 = 3*x. Find the common denominator of x/120 - (15/(-5) + 2) and 117/10.
60
Let b = -136 - -244. Suppose b = 53*c - 47*c. Let s = 7 - -1. Calculate the smallest common multiple of s and c.
72
Suppose -48 = -4*v - 3*b + 12, 5*b - 70 = -5*v. Let k = -8 + v. What is the least common multiple of ((849666/(-2530))/141 - ((-18)/(-22) + -1))*-5 and k?
110
Suppose 13 - 7 = 2*a. Suppose 0 = 3*i + 3*u - 9, 3*i - 88 + 49 = a*u. What is the smallest common multiple of 320 and i?
320
Suppose -44 - 998 - 1073 = -235*u. What is the least common multiple of 491 and u?
4419
Let y = -142 + 157. Suppose 17*t - 384 = -y*t. Calculate the least common multiple of t and 52.
156
Let s = 2/359003 - -3226135/878121338. What is the common denominator of -61/18 and s?
22014
Suppose -9*w + 569 + 2311 = 0. Calculate the smallest common multiple of w/128*12/5 and 169.
1014
Let d be 2/(-8) - (-105)/(-140). What is the common denominator of (d*18/(-60))/(6/(-485)) and -73/26?
52
Let k be 4/(-10) + (-1306)/10. Let w = -75 - k. What is the smallest common multiple of 14 and w?
56
Let l(y) = -20*y + 432. Suppose 0 = 3*o + x - 207, -3*x = -5*o - 0*o + 345. Suppose o = 4*q - 51. Calculate the least common multiple of q and l(21).
60
Let b be (-1379)/28 - 2/(-8). Let v = -51 - b. Find the common denominator of -19/6 and (-788)/(-168) - 3 - v.
42
Suppose 23*j - 15*j - 1792 = 0. Let p = 228 - j. What is the least common multiple of 47 and p?
188
Let c = -60 + 35. Find the common denominator of 52/9 and 861/405 - (-5)/c.
27
Calculate the common denominator of -37*(-30)/75*10/32 and 13/410.
1640
Let b = -1/10646 - -122517/936848. What is the common denominator of -131/144 and b?
1584
Suppose 0 = -38*q + 33*q + 10, 5*a - 4*q - 242 = 0. What is the least common multiple of 140 and a?
700
What is the least common multiple of 1 and 12 - 13 - 278/(-1) - 0?
277
Let g(c) = 8*c**3 - 66*c**2 + 16*c + 8. Calculate the smallest common multiple of 7 and g(9).
4466
Let y = -116132 + 54698207/471. Find the common denominator of -27/7 and y.
3297
Let k = 6174183/317 + -19477. What is the common denominator of k and 6/3487?
3487
Suppose 0 = 2*j - 4*j + 3*k - 12, -4*j + 5*k - 24 = 0. Calculate the least common multiple of j/(-6) + 42 - 4 and 6.
78
Let p = 27819/7220 + 35/361. Find the common denominator of 37/640 and p.
640
Calculate the least common multiple of 88 and (-60)/(-770)*22*616.
1056
Let a = 2427 - 400481/165. Calculate the common denominator of -14/141 and a.
7755
Let a = -44/9 + 1927/396. Find the common denominator of (21053/814 + -26)*11/(-18) and a.
132
Suppose -3*o + 47 = 4*m, -72 = -4*o - 21*m + 18*m. What is the lowest common multiple of o and 2691?
18837
Calculate the lowest common multiple of (-1)/(-6) - 102236/(-1464) and 952.
4760
Let r be (1311286/866)/(11870322/(-11870391) - -1). Let a = r + -260492645. Let y = a - -18/433. What is the common denominator of y and -27/11?
253
Let h(r) = 2*r**3 + 8*r**2 - 4*r - 18. Let y be h(-5). Let q(o) = -o**2 - 8*o - 3. Calculate the least common multiple of q(-5) and 8*(-4)/y*(-42)/(-4).
84
Suppose -5*k + i - 40 = 5*i, -3*i = 3*k + 21. What is the common denominator of ((-74)/48 - -1)/(6/132) and (-8)/k*(-214)/8?
12
Let q = -192 + 189. Calculate the common denominator of -77/18 and ((-10)/6)/(q/(-84)*22).
198
Let k = -47 + 54. Suppose -k*r - 16 = -58. Calculate the smallest common multiple of r and 17/3 + 4/(-6).
30
Let i = 37/69 + -6961/3588. Suppose -l - 70 = 200. Let f = l - -779/3. Find the common denominator of i and f.
156
Suppose 4*p + 12510 = -2330. Let v = -3298 - -13101/4. Calculate the common denominator of v and 3/5 + p/600.
12
Let y be 16/(-12)*(71 - -1). Let r = y - -144. Find the common denominator of 71/9 and 0 - (r/81 - 0).
27
Find the common denominator of -187/720 and (-5)/(240/(-358))*32/120.
720
Suppose -1914*b + 1892*b = -770. What is the least common multiple of 875 and b?
875
Let c = 2143187/7216 - 12156/41. Find the common denominator of c and 71/66.
528
Suppose -15*a = -11 + 11. Suppose 24*n + 8*n - 576 = a. Calculate the least common multiple of 54 and n.
54
Suppose -10 = o - 6*o. Calculate the common denominator of o/8*(-210)/12 and 6 - (-97)/(-7) - -1*1.
56
Find the common denominator of 157/102 and (4/(-21))/((-4)/(-6)) + (-2220)/(-3213).
306
Find the common denominator of 1 + (-47777)/2992 - -15 and 133/2448.
26928
Find the common denominator of (8 - 6*(-7)/(-42))/(404/(-16)) and 51/5.
505
Let h = 5298 + -2220. Let w = -4646 + h. Calculate the common denominator of 43/21 and (w/36)/7 - 1.
63
Let m = -51 - -48. Let j be m/(-1 - 10/(-16)). Suppose -3*w - 2*c + j = -90, -w + 5*c + 10 = 0. Calculate the lowest common multiple of w and 9.
90
Let u(r) = 2*r**3 + 4*r**2 + 2*r + 3. Let q(b) = 3*b**3 + 7*b**2 + 4*b + 5. Let a(x) = 3*q(x) - 5*u(x). Calculate the lowest common multiple of a(-5) and 36.
1260
Let y(p) = -3*p - p - 2*p + 7*p + 3. Let g be y(0). Suppose -5*z = 4*x - 0*x - 63, 51 = g*x + 5*z. Calculate the lowest common multiple of x and 21.
84
Suppose 202*a