
Suppose 25*q = -4*q + 4176. Calculate the lowest common multiple of q and 264.
1584
Suppose 138 + 1266 = 4*n. Suppose n = 5*f - 369. Calculate the common denominator of 95/8 and ((-273)/(-4))/(f/32).
24
Let j(y) = 2*y**2 + 75*y - 140. Let h(q) = -2*q**2 - 76*q + 141. Let u(b) = 2*h(b) + 3*j(b). What is the least common multiple of 10 and u(-39)?
570
Let h = -3332 + 3333. What is the smallest common multiple of h and 5?
5
Suppose 6*y + 17 = 71. Let k be 55/22*(-3)/((-6)/(-4)). What is the least common multiple of 38/4 + ((-15)/2)/k and y?
99
What is the common denominator of ((-71)/355)/((-920)/(-205)) and 47/440?
10120
Calculate the common denominator of 7/(396627/(-9378)) + 318/1749 and 16/221.
22321
Let z = 332387/16 + -20777. Find the common denominator of z and -121/3280.
3280
Let z = -1805 + 339331/188. What is the common denominator of -51/893 and z?
3572
Let n = 37/1747 + 1267619/33193. Let c = n + -5341/190. Find the common denominator of 290/232*(-212)/110 and c.
110
Calculate the common denominator of (15 - 876/60) + 1202/120 and -35/678.
1356
Suppose 5*a + 16 = 9*a. Suppose 91 = a*g - 21. Calculate the least common multiple of g and 3*16/(-6)*120/(-48).
140
Suppose 26*m = 33202 + 2080. Calculate the smallest common multiple of m and 9.
12213
Let a be (-108658)/(-9)*(-45)/300. Let v = -1812 - a. Calculate the common denominator of -121/30 and v.
30
Suppose -5*m + 4*j - 34 = 0, -4*m = -8*j + 9*j + 23. Calculate the least common multiple of (8/m)/((-10)/120) and 20.
80
Let z = 4/1551 + -91541/12408. Let j = -396/25 - -37999/2350. What is the common denominator of j and z?
376
Let a = -82625563/414 + 199579. Let i = -69997/16 + 4377. Calculate the common denominator of i and a.
3312
Let r(m) = -m**3 - 20*m**2 + 21*m + 18. Let w be r(-21). Find the common denominator of -29/2 and w/180 - 16/25.
50
Let v = 8144 - 1268. Calculate the least common multiple of 4 and v.
6876
Let c = -343 + 583. Calculate the lowest common multiple of 48 and (18/(-10))/((-36)/c).
48
Let l = -1624 + 1372. What is the least common multiple of 4/((-56)/l + 1/9) and (-6)/(-4)*88/3?
132
Let i(z) = -195*z + 2249. What is the least common multiple of 40 and i(11)?
520
Suppose -395 = -30*y - 35. Let k be 0*((-4)/6)/(-2). Suppose c + y - 14 = k. Calculate the lowest common multiple of c and 32.
32
Let f(x) = 7*x + 66. Let h be 4 - (2/(-5) + (-24)/15). Let q be f(h). Let w = -74 + q. What is the smallest common multiple of 4 and w?
68
Suppose -3*l - 4*o - o + 175 = 0, 2*l + 5*o - 125 = 0. Calculate the least common multiple of 2 + -2 + 1 - (-60 + 11) and l.
50
Let c(n) = -7*n + 8. Let m be c(-5). Suppose 5*v + g = 25, -3*v - 5*g - m = -6*v. Calculate the least common multiple of v and (7*2/(-4))/((-4)/24).
42
Let n be 6*614/12*-2. Suppose 8 = j + 2*p, 4*j + 4 = -2*p + 6. Find the common denominator of j/(-5) - (-4)/(240/n) and 39/7.
42
Let c = 211 + -185. What is the lowest common multiple of c and 24?
312
Let f(a) = 4*a**3 - 4*a**2 - 224*a + 666. What is the smallest common multiple of f(3) and (-46)/(-4) + (-6)/12?
66
Let k(g) = -g**2 + 3. Let j be k(9). Let x be 54/81 + (-146)/j. Let c = -1163/156 + x. Calculate the common denominator of 115/36 and c.
36
Let l = 184 + -175. Let n(h) = h**2 + 6*h - 7. Let k be n(-7). Suppose k = z - 5*p + 19, 4*z - 1 - 19 = -4*p. Calculate the lowest common multiple of l and z.
9
What is the common denominator of 5/4078 and 624/2496*71/(-1)?
8156
Let t(r) = 32*r**2 + 298*r - 1800. What is the least common multiple of 6 and t(6)?
1140
Suppose 940*t - 476*t = 9744. What is the least common multiple of t and 1/(-2 - (-50)/24)?
84
Let j(i) = -2 + 13*i - 4*i**3 + 4*i - 11*i + i**2. Calculate the smallest common multiple of j(-2) and 66.
66
Let j = -23 - -23. Let p be (-14391)/56 - (j + 1)/1. Let h = -1728/7 - p. What is the common denominator of -8/3 and h?
24
Let f = -26 - -34. Let t = 15995/6 + -2675. Let i = t - -3/2. What is the common denominator of f and i?
3
Let j = -37153/21 - -1771. Let b be (-1 + -4811)*(-3)/((-66)/55). Let t = 830006/69 + b. Find the common denominator of t and j.
483
Suppose y - 4*w + 2 = 0, 6*w = -4*y + 2*w - 88. Suppose -64 = 11*l - 460. Let c = y + l. What is the smallest common multiple of c and 8?
72
Suppose 4*y = -2*m + 78, -y - 4*m + 8 = -1. Let k(f) = f**3 - 62*f**2 - 4*f + 325. What is the least common multiple of y and k(62)?
231
Let o = -73 - -76. Suppose -2*x + o*z = -0*x - 27, -5*x - 5*z + 55 = 0. Calculate the common denominator of -149/12 and -1*3/x*(-274)/18.
36
Suppose 1134*b = 1176*b - 13020. What is the least common multiple of b and 45?
2790
Find the common denominator of 43*(21/(-6))/7 and 1 + 1 + 11/14 + -6.
14
Let g = -1064712911/1803 + 590523. What is the common denominator of -56/9 and g?
5409
Find the common denominator of 59/735 and (-7)/(8624/12)*208/91.
8085
Let z = 6191112/1583 + -3911. Let u = z - -39579/6332. Find the common denominator of (-21)/140*-78 + 0 and u.
20
Suppose -37*l + 62*l - 81 = -2*l. Suppose 4*f = 3*f + 2. Calculate the least common multiple of l and f.
6
Let c = -30061/11600 - -61/464. Find the common denominator of -99/500 and c.
500
Calculate the lowest common multiple of 16 and 8 - (0 + -29) - (-1)/1.
304
Calculate the lowest common multiple of 120 and (-1 - 715)/(6*28/(-504)).
21480
Let y = 21 - 1. Suppose 0 = -45*i - 69*i + 3990. What is the lowest common multiple of y and i?
140
Let g = -453 + 855/2. Let l be (-199)/(-2949)*(-311)/60*-3. Let i = -2/2949 - l. Calculate the common denominator of g and i.
20
Let y be (-2)/(-39) - 181537/(-156). Let n = -1150 + y. Let j = 76/67 + -5803/804. What is the common denominator of j and n?
12
Suppose 0 = -3*q + 4*p - 128, -4*q - 62 = -2*p + 102. Let z = -64 - -62. Calculate the common denominator of (38/q + 1)/(z/5) and 25/9.
72
Suppose -6*k + 3*w + 108 = 0, -k - 3*w + 2 - 12 = 0. Calculate the least common multiple of ((-11)/(-3))/(2/6) and k.
154
Let x(h) = -h**2 - h + 17. Let r be x(-3). Suppose 4158 = 16*k + r*k. Calculate the least common multiple of 224 and k.
2464
Let i(f) = -f**2 - 15*f + 21. Calculate the smallest common multiple of i(-16) and (231/(-22) - -11)*78.
195
Let q = -103/69 + -114127/138. Let v = q - -804. Calculate the common denominator of -2*(-54)/165*5 and v.
22
Let l = 72 + -68. Suppose -l*v - 86449 = -32925. Let g = -294473/22 - v. Find the common denominator of g and 89/68.
748
Calculate the common denominator of ((-15)/(-90))/(784/1968) and 137/126.
882
Let i = -14635 + 175751/12. Calculate the common denominator of i and (33/66)/(4/(-61)).
24
Suppose -d - 2*j = -98, -j - 22 + 123 = d. Let f = d - -98. What is the least common multiple of 8 and f?
808
Let n = -285 - -285. Calculate the common denominator of -151/150 and n + 149/21 + -22 + 19.
1050
Let n = 5752 + -5705. What is the least common multiple of 8 and n?
376
Let f = 184 - 93. Let b = 121 - f. What is the lowest common multiple of 3 and b?
30
Let o be (-3)/(-6)*(199 + -5). Suppose 0 = -o*l + 91*l + 72. What is the smallest common multiple of 44 and l?
132
Suppose -c = 2*u - 3*u + 12, u - 4*c = 30. Calculate the least common multiple of 51 and u.
102
Let n = -17928176/8455 - -40290/19. What is the common denominator of 21/712 and n?
3560
Let g = -80365/11 + 7305. Find the common denominator of g and 41/713.
7843
Calculate the common denominator of 50 - 61 - (-1513)/135 and -119/234.
3510
Let o = -41 - -43. Suppose -m = -o*m + 5. Let i(p) = p**3 - 6*p**2 + 8*p - 9. What is the lowest common multiple of i(m) and 8?
24
Let h be (-3)/(-4 + -5) + -1434827. Let s = -60604057/42 - h. Let p = -8120 - s. Find the common denominator of -25/16 and p.
112
Let u = -3261 - -3702. What is the least common multiple of u and 294?
882
Let t = -37793763646/75 - -503897557. Let s = 19292 + t. Find the common denominator of s and -62/15.
75
Let z = 680 - -207. Let h = z - 2609/3. What is the common denominator of h and 25/183?
183
Suppose -29*q - 12*q = -19*q - 1386. What is the least common multiple of q and 648?
4536
Let y(n) = 2*n**3 + 2*n**2 - 17*n - 6. Let f be y(9). Let h = f - 4420/3. What is the common denominator of h and -43/5?
15
Let f = -544837/49908 + 2/12477. Let o = 2/25487 - -3950329/1987986. Calculate the common denominator of o 