Find the common denominator of c and 0/1 + (-111)/(-72).
120
Suppose 87 = o - 3*w, o - 39*w = -38*w + 93. Let f = -311 - -331. What is the least common multiple of o and f?
480
Let x(s) = s**3 - 2*s**2 - 10*s + 13. Suppose 0 = 4*p - k - 33, 4*p = 4*k - 5*k + 23. Suppose -p*r = -6*r - 4. What is the lowest common multiple of x(r) and 8?
40
Calculate the lowest common multiple of ((-5760)/168)/(12/(-42)) and 165.
1320
Let n(f) = 7*f**3 - f**2 + 3. Let s(g) = 4*g**3 + 1. Let j(x) = -3*n(x) + 5*s(x). Let i be j(3). What is the lowest common multiple of 6 and 20 + (16/i)/(-4)?
42
What is the common denominator of (87/(-232))/(1026/(-696)) and 71/22?
1254
Let c(g) = -6*g + 2. Let y be c(2). Let o = y - -34. Suppose -30*q - 11*q + 7*q + 408 = 0. What is the smallest common multiple of q and o?
24
Let b = 430 - 36. Let q = 429 - b. Calculate the least common multiple of 77 and q.
385
Let c(b) = b**3 + b**2 + 7*b - 196274. Let n be c(0). Let l = 69088521/352 + n. Calculate the common denominator of -19/9 and l.
3168
Suppose 20 = -8*b + 4*b + 2*u, 4*u = b + 19. What is the common denominator of 79/42 and (-4)/b*(-5 + 252/(-32))?
42
Calculate the common denominator of (7 - 1359/81)/(78/(-9)) and 107/208.
624
Let p = 4/487 + -25847/4383. Let w = -37 - 383. What is the common denominator of (-4)/(w/843) - 12/20 and p?
63
Let h(o) = 10*o + 11. Let l be h(-4). Let p = -4 + l. Let z = p + 60. What is the lowest common multiple of z and 9?
27
Let u(n) = 12*n + 118. Let h be u(3). Calculate the common denominator of -8/7 and h/28*16/20.
35
Let v be 37 + -1 + 0 + 2. Suppose -30 = -4*j - 43*b + 38*b, -4*b - v = -3*j. Let l(f) = -15*f - 1. What is the least common multiple of j and l(-1)?
70
Let m = 710/7 - 3931/42. Let u = 2020987 + -16193121/8. Let v = u - -3149. What is the common denominator of m and v?
24
Let k(q) be the first derivative of q**4/4 + 4*q**3/3 - 5*q**2/2 - 5*q + 3. Calculate the smallest common multiple of k(-4) and (290 - 259) + 5*2*-1.
105
Let g = 84955/12 - 7085. Let z = 388/189 + 1/378. What is the common denominator of z and g?
36
Find the common denominator of -75/214 and 8 + -10 + 12 + -13 - 16894/(-5564).
2782
Let x = -2205 - -2221. Calculate the smallest common multiple of 28 and x.
112
Let g(k) = 5*k**2 - 6. Let t be g(-3). Suppose 15 = -3*h + t. Suppose h*l - 2*l - 72 = 0. What is the lowest common multiple of 16 and l?
48
Suppose 27435 = 16*n - 7125. What is the least common multiple of n and 960?
8640
Let a(s) = 2*s**2 - s - 60. Let t be a(0). Let f = t + 9. Find the common denominator of -33/2 and f/4 - 8/16.
4
Let b = -25 - -35. Let z be -6*222/36*-2. Suppose z*f = 135 + 13. Calculate the lowest common multiple of b and f.
10
Suppose 25*c = 20*c - 4640. What is the common denominator of (-1)/(12/(-46))*-1 + -1 and (-5)/(-48)*c/24?
36
Suppose -5*m - 33 = 2*u, -2*u + 4*m - 3 = 3. What is the common denominator of 18018/3080*140/90 and ((-22)/(-4))/(u/4)?
90
Let u = 410082 - 526955341/1285. Find the common denominator of u and -65/3.
3855
Let q(g) = -2*g - 18. Let x be q(-11). Suppose d - x = 21. Let j = 27 - d. What is the lowest common multiple of j and 6?
6
Let m = 3 - 0. What is the common denominator of (((-18)/(-92))/9)/(3/120) and 130/m*(129/(-45) + 3)?
207
Let w = 71 - 81. Let b be (3 + -8)/w*(4 - 0). Find the common denominator of -2*34/56 + 0/b and 55/252.
252
Let p = -9 + 2. Let t(u) = -u**3 - 9*u**2 - 17*u - 6. Let l be t(p). Calculate the common denominator of 68/9 and (-62)/(-5)*25/l.
9
Calculate the common denominator of 8 + (22910/40 + -10)/(-66) and 65/303.
26664
Let z = 1767/440 + 3/88. Calculate the common denominator of -13/9772 and z.
48860
What is the common denominator of (15/(-75))/(50/11875) and 111/50?
50
Suppose m + 4*m - 3*u = 10, -2*u - 7 = -3*m. What is the common denominator of 2/(432/(-15)) - (-2 - m) and -133/144?
144
Suppose -3*m + m - 2*a + 24 = 0, 5*m = -a + 68. Suppose m*u = -2 + 30. Calculate the lowest common multiple of u and 12.
12
Let t(p) = 3*p**2 + 864*p - 1734. What is the lowest common multiple of t(2) and 486?
486
Let l = -317101/49 + 6472. Let k = -204/49 - l. Find the common denominator of k and (-146)/(-12) - (-36 - -33).
42
Let g = 240 + -243. Let w(f) = -f**2 - 9*f - 6. Calculate the least common multiple of w(g) and 4.
12
Let d = 121/62 - 9719/6076. Find the common denominator of 9/200 and d.
9800
Let l = -258153481/504 + 512209. What is the common denominator of l and 43/693?
5544
Let i = 9738 - 535573/55. What is the common denominator of 13/110 and i?
110
Suppose -242*h + 473 - 7977 = -376*h. Suppose 0 = -g, -4*g + 168 - 28 = 2*f. Calculate the smallest common multiple of h and f.
280
Let a(h) = 2*h**3 - 12*h**2 - 2*h + 21. Suppose 0 = 15*d - 10*d - 30. What is the least common multiple of 12 and a(d)?
36
Let d be 11/(44/152) + 2. Let b = d + -36. What is the smallest common multiple of 28 and b?
28
Suppose -1294 = -5*f - 2*c, 2*f + 17*c - 20*c - 510 = 0. Let l = 278 - f. What is the lowest common multiple of l and 16?
80
What is the least common multiple of 470 and (6 + 28/(-8))*4512/30?
1880
Let w = 247907/18 + -13777. Let k(p) = -p**3 - 2*p**2 - p - 168. Let o be k(0). What is the common denominator of w and (-413)/o - (-3)/(27/(-12))?
72
Let s = 6/1645 + -772/31255. What is the common denominator of s and 68/15?
285
Let u = 54632223 + -27930275. Let s = -747551321/28 + u. Let p = -3686 + s. Find the common denominator of -89/20 and p.
140
Let j be (2 - 3) + 6 + 130. Let h = j - 264. Let c = h - -161. Calculate the least common multiple of c and 36.
288
Let h(k) = 2*k + 38. Let r be h(-17). Suppose -r*g = -4*j + 36, 5*g + 0*g - 4*j + 40 = 0. Find the common denominator of g - -6*((-292)/132 - -3) and 187/90.
990
What is the common denominator of 95*(8/48)/(1 + -2) and 77/1593?
3186
Suppose 14*c + 448 = 6*c. Let q = -31 - c. Suppose 5*o - 3*u - 30 = -0*o, -3*u = 15. What is the smallest common multiple of o and q?
75
Suppose -20*o + 3771 = -11989. Let k = o - 1543/2. Calculate the common denominator of k and -43/114.
114
Let q(o) = o**2 - 12*o + 31. Let y = -41 + 49. Suppose d + 2 - y = 0. What is the lowest common multiple of d and q(9)?
12
Suppose m - 128 = -2*s, -4*m + 341 = 5*s - 186. Calculate the lowest common multiple of 276 and m.
276
Let p(l) = -l**3 + 15*l**2 + 16*l - 26. Let w be p(13). Suppose 11*r = w + 250. Calculate the smallest common multiple of 20 and r.
140
Suppose -3*c - c - 48 = 0. Let k = 2/181 - 2182/905. Calculate the common denominator of 14/c*(-33)/(-44) and k.
40
Suppose -75 = -6*o + o. Suppose -73 = -3*t - 94, 3*t = -3*d + 15. What is the smallest common multiple of d and o?
60
Let s = -411095/19 + 21637. What is the common denominator of s and -49/92?
1748
What is the lowest common multiple of (-65 - 4)*(-5)/5 and (-3)/(-12) + 332/16?
483
Let z = 2/75609 + 4233818/10812087. What is the common denominator of 29 + (2 - (-6291)/(-189)) and z?
1001
Let u(n) = -36*n + 112. Let f be u(3). Calculate the common denominator of 35 and (-1)/f - (297/(-87) - -4).
116
Suppose 6 + 154 = 4*z. What is the lowest common multiple of z and 44/((-129)/(-234) - (-16)/(-312))?
440
Find the common denominator of (-1573)/(-77) + -21 - (0 + 418/(-952)) and -57/20.
340
Suppose -12*l = 68121 - 187329. Calculate the smallest common multiple of 11 and l.
109274
Let b = 156 + -380. Let g = 230 + b. What is the lowest common multiple of 36 and g?
36
What is the common denominator of -3 - 964/(-154) - (-6)/(-2) and (-429)/2*14/882?
462
Let g = -107 + 99. What is the common denominator of 127/18 and (-2 + 5)/((-1528)/(-124) + g)?
1206
Let q be 1/(-2)*(40 + -30). What is the common denominator of 23/3 and (q/35)/(5/1505*30)?
30
Suppose -2*w - 69*g = -68*g - 17, 0 = -5*g - 15. What is the smallest common multiple of 1136 and w?
5680
Suppose 5*q - 147 - 203 = 0. Calculate the smallest common multiple of ((-20)/5)/4 + 85 and q.
420
Let r = -43 - -329. Let x = r + -160. What is the common denominator of (-5 - x/(-24)) + 81/(-16) and 49/6?
48
Suppose 228*i - 9280 = 220*i. Calculate the common denominator of 131/6 and (-3)/(-156)*i/(-12).
78
Let b = 135185083/23 + -5880866. Let g = b - -6511/2. Find the common denominator of -145/6 and g.
138
Suppose -80*p + 1901577 = 377*p. What i