 k + 67. Find the common denominator of -29/4 and i/(-42) + 16/8.
28
Suppose 2*a - q - 39 = -0*a, -5*a + 2*q + 99 = 0. Let b = 41 - a. What is the common denominator of 238/12*b/(-28) and -97/4?
12
Suppose -7111*u = -7115*u - 24, -3*u = s - 6. Calculate the smallest common multiple of 3264 and s.
3264
Suppose -1344 = 1906*p - 1908*p. What is the least common multiple of 1232 and p?
7392
Let y be (6/(-9) - 0)/((-1)/51). Suppose -l = 3*q + 19, 2*l + 3*q - 8 + y = 0. Calculate the common denominator of -53/49 and (l/6 - -1)/((-5)/465).
98
Let i = -887 - -902. Suppose 2*c - 279 + 3 = 0. What is the lowest common multiple of i and c?
690
Let u(d) = -d**3 - 616*d**2 + 4994*d + 4. Let t(z) = -4*z + 2. What is the least common multiple of u(8) and t(-3)?
140
What is the common denominator of 9665/(-1950) + (-2)/(-6) + 0 + 5 and 27/25?
650
Let x = 61517/5 + -12372. Let j = x + 70. Find the common denominator of j and 6 + 10/(-2) + 19/11.
55
Let v be (-4)/(-6) - (348/36 + -11). Find the common denominator of 2/((-36)/134) + -1 and 1010/48 - 6/(v + -50).
18
Suppose -96*u - 20664 = -219*u. What is the least common multiple of 84 and u?
168
Let n be -4 - ((-16)/48)/(2/48). What is the common denominator of -49/6 and ((64/3)/n)/((-15)/9)?
30
Let z(v) = v**2 + 64*v + 358. Let p be (1/1)/((-2)/(-10)). Suppose -45 = -4*x - 3*c, p*x = 4*c + 80 - 16. What is the smallest common multiple of x and z(-6)?
60
Suppose 195492 = 2*c - 24*c. Let t = c - -586451/66. Find the common denominator of -37/30 and t.
330
Let u be (-1)/3*((-34)/1 + 4). Suppose -3*v = -4 + 1, 4*v - u = 3*h. Calculate the lowest common multiple of 5 and (-6)/h - 12/(-3).
35
Let w = -259087/40 - -6476. Find the common denominator of -67/1252 and w.
12520
Calculate the common denominator of 3 + -2 + (-442)/236 and (-26 - 19278/(-680)) + 0 + 1.
1180
Suppose 9*o = 5*f + 6*o - 2394, 0 = 4*f - 2*o - 1916. What is the least common multiple of 20 and f?
480
Let i(r) = -177*r + 2224. What is the least common multiple of 22 and i(-4)?
32252
Let r(o) = o**2 - 8*o - 8. Let p be r(6). What is the common denominator of (249/p)/(-3) + -2 and (3536/182 - 19)*(-42)/(-4)?
20
Let p = 47 + 89. Let h = p - 122. Suppose 56 = 5*b - 2*n, 2*b - 22 = -4*n + 5*n. Calculate the smallest common multiple of h and b.
84
Let z = -39 - -41. Calculate the smallest common multiple of 35 and 1/6 - (z + 610/(-12)).
245
Let j = 8313 + -8293. Calculate the least common multiple of j and 3154.
31540
Let x = -79/366 + -8179/2379. Calculate the common denominator of ((-22)/6 - -1) + 0 and x.
78
Let x = 568 - 28. What is the lowest common multiple of x and 15?
540
Suppose y + u - 20 = 0, 6*u - 88 = -4*y + 4*u. Calculate the common denominator of -125/12 and ((-1276)/(-1218))/(y/14).
36
Let y(d) = 708*d - 1888. What is the least common multiple of y(5) and 2?
1652
Let r be -2 + (10 - 4) + -2. Suppose 0 = r*b - 3*b. What is the common denominator of -117/10 and b - ((-230)/(-12) - -1)?
30
Let v(q) = 19*q**2 - 111*q - 6. Let w = -45 - -99. What is the lowest common multiple of v(6) and w?
108
Suppose 0 = 2*b - 0*b. Suppose 109*g - 108*g + 79 = b. What is the common denominator of 3/((-18)/g) + 1 and -13/6?
6
Suppose -4*q + 218 = -554. Let z = q - 2190. Let i = -6056/3 - z. What is the common denominator of i and 62/9?
9
Let g(d) = d**2 + 6*d - 3. Let u be g(-7). Suppose 0*p - u*p - 112 = -2*f, -5*f + 3*p + 245 = 0. Calculate the lowest common multiple of 2 and f.
46
Let p = 79396 - 22866149/288. What is the common denominator of 143/192 and p?
576
Suppose -12*n - 19 = -127. Let p be 1/(-3) - 67*(-3)/n. Let i = p - -11. What is the smallest common multiple of 75 and i?
825
Let y(n) = -4*n + 12. Let r(k) = -k + 1. Let d(s) = 3*r(s) - y(s). Let b be d(-15). Find the common denominator of 2/b*(-52)/6 and 23/6.
18
What is the lowest common multiple of 1572 and 2*16/88*44/8?
1572
Let n(f) = f**3 - 9*f**2 - f + 13. Let d = -272 - -274. What is the lowest common multiple of n(9) and d?
4
Let f = -87 - -131. Let z = -2341 + 2365. What is the least common multiple of z and f?
264
Let g = 879/4 - 769113/3500. Let v = g - 20152/7875. Let d = 1853/96 - 31/32. Calculate the common denominator of v and d.
9
Suppose -5*l - 4*u = 187 - 34, -3*l - 135 = -3*u. Let w = -61613/4324 + -1/1081. What is the common denominator of l and w?
4
What is the lowest common multiple of (-5)/(-390)*6 + (8 - (-134675)/65) and 64?
4160
Let g be ((-4)/(24/(-50649)))/((-6)/(-13)). Let h = -18302 + g. What is the common denominator of -125/6 and h?
12
Let y be (-2)/12 - 117/(-54). Suppose y*j = 4*j + 76. What is the common denominator of j and (38/(-12))/(104/114) - (-80)/(-520)?
8
Calculate the common denominator of (-4169)/(-770) + 22 + -29 and -3/110.
770
Suppose 17*w - 1728 + 108 = 8*w. What is the smallest common multiple of w and 252?
1260
What is the common denominator of (-14)/(27048/875) + 1 and -41/276?
276
Let q be ((-12)/16)/(4 + 1125/(-280)). Calculate the common denominator of 14/41 and q/70 + -1 + (-309)/40.
328
Let d be (6/(-15))/((-6)/(-90)). What is the common denominator of -6 + d + 236/8 and -39/2?
2
Let n(r) = -5*r - 5. Let l be n(-2). Suppose -l*x - 2*c = 3*c - 65, 0 = -2*x - c + 29. What is the common denominator of 143/12 and 1/x*154/(-21) - 1?
24
Let x = 5 + 0. Suppose 7*i = -i + 64. Suppose -2*l = -14 - i. Calculate the least common multiple of x and l.
55
Let v = -332 - -325. Calculate the lowest common multiple of 12 and v - 26*4/(-8).
12
Let n = -4994205350317/309241 - -16149881. Let a = n + 54979029595/5566338. Let i = a - 9880. Find the common denominator of i and -37/26.
234
Let z(i) = 5*i**2 - 69*i - 42. What is the lowest common multiple of z(19) and 452?
452
Let j = -2850 - -3772. Calculate the lowest common multiple of j and 7.
6454
Let t be (464944/462 - 0) + (-36)/126. Let l = 7032/7 - t. What is the common denominator of 1/39 and l?
429
Suppose 18*a - 15*a = 18. Suppose 0 = -l - 2*z + 28, 0 = 2*l - 3*z - 28. Calculate the common denominator of (a/28)/(l/70) and -119/6.
12
Let s(g) = -3*g + 11. Let c(o) = o**3 - 30*o**2 + 29*o - 3. Let k be c(29). Calculate the lowest common multiple of s(k) and 108.
540
Suppose -16 - 4 = -4*i. Suppose -5*f + 3 = -r - 17, -190 = 5*r + i*f. What is the common denominator of -39/11 and (430/12)/5 - 70/r?
66
Let q = -30/42539 + -884172935/255234. Let y = q + 3452. Calculate the common denominator of ((-36)/(-28))/(36/210) and y.
6
Suppose 4*u = 0, -2*s - 3*s + u + 1520 = 0. Suppose 15*o + 19 = s. Suppose o*d = 17*d + 4. Calculate the least common multiple of d and 22.
22
Suppose 4 = -5*c + 5*j + 9, 25 = -5*j. Calculate the least common multiple of 22 and c/10 - (-7 + 1108/(-20)).
682
Let u = -628 - 346. Let k = -2021/2 - u. Calculate the common denominator of (99/(-8) - -3) + -3 and k.
8
Find the common denominator of 51/1036 and (-85)/(-40)*35/259.
2072
Suppose 2*w + 8*f - 214 = 6*f, 3*f = 3*w - 339. Suppose -2*j - 15 = -7*j, -2*u + 349 = -j. Calculate the least common multiple of u and w.
880
Let p be (715/(-450))/((-24)/(-1818)). Let r = p + 597/5. What is the common denominator of -13/7 and r?
168
Let u be 33/(-77) - 683/7. Let o = -1/130 - -1887/260. Find the common denominator of (2 - (-25)/(-15))*u/4 and o.
12
Let b be -3 - (3 - (-184440)/5). Let f = b + 1660099/45. Let r = -7/18 + f. What is the common denominator of 91/6 and r?
30
Let f = -84 - -92. Let b(r) = -2*r**2 + 19*r - 21. Calculate the lowest common multiple of b(f) and 3.
3
Calculate the common denominator of 4 + (-38 - -45) + 12386/(-1128) and 131/24.
1128
Let i = -29727 - -15400. Let v = -300938/21 - i. Let b = 17/6 - 37/6. What is the common denominator of v and b?
21
Let z = -101226 - -101434. Let t = 45 - 1. Calculate the lowest common multiple of z and t.
2288
Suppose 1064 = -6*b - 850. Let p = 330 + b. Calculate the least common multiple of 39 and p.
429
Let o = 1076 + -2117/2. Calculate the common denominator of 61/2740 and o.
2740
Let s = -59 + 57. Let t(c) = -2*c. What is the smallest common multiple of 4 and t(s)?
4
Let p = -1644387/217562 - -1370/181. Calculate the common denominator of p and -43/4.
2404
Let h be 4/5 - (-322)/10. Let u be h/(6 - 3)*5. Calculate the smallest common multiple of 6 and 4/(-80)*-4*u.
66
Let y = -497