. Let z = c + p. What is the common denominator of 4/9 and z?
45
Let h be (-7)/((-63)/6) - (-19480)/30. Suppose 128*r = 115*r + h. What is the least common multiple of r and 5?
50
Suppose 3*p - c - 368 + 153 = 0, -2*p - 5*c + 149 = 0. What is the lowest common multiple of p and 40?
360
Let u(g) = g**3 + 3*g**2 + 2. Let p be u(-3). Calculate the common denominator of 4/p + (-172)/32 - 0 and 47/8.
8
Let u be 4/14 + 84/49. Let m = -1/24423 + 2613301/976920. Find the common denominator of m and (-1)/(u/45) - -2.
40
Let y = 6068048/13 - 169115087/364. Let q = y + -4335/2. What is the common denominator of q and -7/6?
84
Find the common denominator of (28/(-9625))/(8/5620) - -2 and -53/110.
550
Let j(k) = k**2 - 14*k + 38. Suppose 12*a - 465 = 123. Calculate the smallest common multiple of j(11) and a.
245
What is the common denominator of ((-4)/(-12) - (-639)/(-162)) + 4 and 115/154?
1386
Let p = -55 + 80. Let n(w) = -w. Let t be n(-4). What is the lowest common multiple of ((-35)/p + t + -1)*5 and 11?
88
Let m = -44557347051 - -17366404242525785/389754. Let g = m + -8/367. Let t = g + -10367/2655. Find the common denominator of 41/5 and t.
10
Let s = -4800 + 4808. What is the lowest common multiple of (7 - 3 - -25) + 3 and s?
32
Let x = -4613/11388 - 9/292. Let u = x + 887/156. What is the common denominator of -97/16 and u?
16
Let r be -15 + 18 - 2697/(-49194). Let n = 2/2733 + r. Calculate the common denominator of -67/36 and n.
36
Let p = 6628 - 2410. Let f = 156097/37 - p. Calculate the common denominator of f and 59/9.
333
Let m = 50373 - 97395/2. Let u = m + -6601/4. What is the common denominator of u and (-187)/(-60) + 566/(-849)?
20
Let s(l) = l + 19. Let j be s(-5). Suppose j*k - 130 = k. What is the smallest common multiple of 8 and k?
40
Let j = 0 - 0. Let x = j + 16. Suppose -2*o + 6*b + 30 = 0, o - 44 = -3*o - 4*b. What is the least common multiple of o and x?
48
Let r be 3/((2 + -1)/(-1)). Let x = 431 - 436. Let b = r - x. What is the smallest common multiple of 6 and b?
6
Suppose -31*t + 720 = 14*t. Calculate the lowest common multiple of (-4)/(-14) + 2080/70 and t.
240
Calculate the common denominator of -17/763 and ((-3)/(-2616))/((-9)/(-666)) - 0.
3052
Let f(r) = -r**2 + 5*r - 1. Let h be f(4). Suppose -5*x = -h*x - 2. Let t = 12582 + -12574. What is the least common multiple of x and t?
8
What is the common denominator of 89/3386 and 12050/(-2100) - (-8)/14?
10158
Let p be 0 + 225 - (-35 + 40). Let z = p - 215. Suppose -2*s - d = -7*s + 47, -2*s = 3*d - 12. What is the smallest common multiple of s and z?
45
Suppose -t = -14*f + 10*f + 10, 5*t = 2*f - 50. What is the lowest common multiple of 22 and 4/(-8)*t + 1 + 0?
66
Let x(q) = q**2 - 14*q + 324. What is the least common multiple of x(-12) and 2756?
8268
Let o(s) = -21*s + 1. Let x = -10437 - -10446. Calculate the lowest common multiple of o(-6) and x.
1143
Let o = 236 - 227. Calculate the least common multiple of o and (594/126)/11 - (-2458)/14.
1584
Let o(q) = -5*q + 15. Let z be o(6). Let h = -2637 + 39526/15. Calculate the common denominator of (-936)/270 - 2/z and h.
15
Let c = 89 + -95. Calculate the common denominator of (2219/(-210) - -3) + (0 - c) and 23/60.
60
What is the least common multiple of ((-11)/((-3696)/64316) + 2/(-12))*20 and 3825?
3825
Suppose -129*z + 9857 = 170*z + 1485. What is the least common multiple of 3288 and z?
23016
Let z = 203930 + -806405/4. Let l = 7125 - 4808. Let a = z - l. Calculate the common denominator of a and -55/8.
8
Suppose 0*u + 264 = u. Suppose 0 = -4*g + 2*l + 8 + 10, -26 = -5*g - l. Find the common denominator of -41/16 and (109/g)/(u/60).
176
Let y = -1499 - -4388. What is the smallest common multiple of y and 963?
2889
Let q be (-9 - -5)/((-8)/10). Suppose 0 = 4*g + q - 1, 0 = -5*t + g + 51. Suppose -n - l = -5*n + 85, 2*l = -t. What is the least common multiple of n and 14?
140
Let n = -1052659/54 + 19491. Find the common denominator of n and -89/42.
378
Let r(t) = -t**3 - 9*t**2 - t - 5. Let l be (-5 - -4 - 1) + -2. Let g be (-2)/(-16)*18*l. Calculate the least common multiple of r(g) and 18.
36
Let h = -138 + 452/3. Find the common denominator of h and 23/21.
21
Suppose 10*g + 264 = 18*g. Calculate the lowest common multiple of g and (-6)/2 + (-624)/(-13).
495
Suppose 137*t + 42 = 139*t - 5*v, -v + 444 = 17*t. Calculate the least common multiple of 286 and t.
286
Let c be (-33219380)/(-2515) - -2*1/(-4). Let y = c + -13208. Let f = 23635/6036 + y. Calculate the common denominator of 71/6 and f.
12
Let t(d) = 8*d**3 + 42*d**2 - 43*d + 1. What is the least common multiple of 334 and t(1)?
1336
Let z(h) = -h + 24. Let y be z(0). Suppose 4*u = -3*o + u + y, 3*o - 16 = u. What is the least common multiple of o and 6?
6
Calculate the common denominator of 87/1046 and 22 + -21 + 50/(-36).
9414
Find the common denominator of 563/(-102) + 1 - (22 + -25) and -88/15.
510
Let x = 12056 + -12052. Suppose -q = -0*q + 6. Let m = q + 76. Calculate the smallest common multiple of m and x.
140
Let n be 511/(-14) + 1/2. Let q = 38 + n. Find the common denominator of -28/47 and (1007/38)/(-2*q).
376
Let o(i) = -2*i - 14. Let q be o(15). Let w = q + 50. Calculate the lowest common multiple of 7 and w.
42
Suppose 56 = -4*t - n, 4*n + 44 + 37 = -5*t. Let f be t/(-6) + -2 + 286/(-2724). Let k = 8965/1816 - f. What is the common denominator of -9/28 and k?
56
What is the common denominator of (-15)/(-1450)*1342/(-132) and 39/110?
6380
Suppose -35*m + 7346 = 1571. What is the smallest common multiple of 345 and m?
3795
Let f be 185106*2*(-9)/240. Let a = 13888 + f. Find the common denominator of 85/148 and a.
740
Let c = 76 + -76. What is the common denominator of -2 + 6 + -2 - 36 and (c - 312/99)*(-78)/(-52)?
11
Suppose 3*v = -2*m - 18, 0 = -2*m + 5*m - v + 5. Let z = 15 + m. Suppose 4*t + 2*k = 22, -3*k - 6 = t + 1. What is the least common multiple of t and z?
24
Let x = 4544 - 3312. Calculate the lowest common multiple of x and 336.
3696
What is the least common multiple of (-12)/((13 + (13 - 28))*(-4)/(-14)) and 2451?
17157
What is the least common multiple of 18 + -5 + -2 + 2 + -2 and 99?
99
Let c = -23875 - -25243. What is the least common multiple of 192 and c?
10944
Let a = -26873/248 - -879/8. Let n = -21889/1545 - -1/1030. Find the common denominator of a and n.
186
Let y(d) = -d**2 + 33*d - 53. Let z be y(30). Suppose -8*m + 3*s = -7*m - z, 4*s = -12. Calculate the smallest common multiple of 63 and m.
252
Let m be 2 + (-47019)/54 + -1. Let v = 863 + m. Find the common denominator of -83/6 and v.
18
Let k = 22871/54 - 426. Find the common denominator of k and -65/288.
864
Let k(j) = -j**3 - 12*j**2 + 27*j - 5. Let w be k(-11). Find the common denominator of (w/135 - -3)*38/(-4) and -28/15.
15
Let h(y) = -295*y + 1171. What is the least common multiple of 6 and h(-21)?
22098
Suppose -6*d + 42 = 8*d. What is the smallest common multiple of (d - 2) + -12 + 15 and 9?
36
Suppose i - 2*n - 15 = 0, -10*n + 14*n = 4*i - 56. What is the common denominator of 61/30 and 694/204*-1 - (i - 15)?
510
Let s(n) = -n**3 + 8*n**2 + 10*n + 7. Let z be s(9). Suppose o - 3*o = -y - 4, y = -2*o + z. What is the least common multiple of 52 and ((-96)/(-72))/(1/y)?
104
Suppose -2*r = i - 22 - 91, -7*i + r = -911. What is the least common multiple of 1149 and i?
49407
Suppose -68 = 9*j + 4*j - 1732. Calculate the least common multiple of 88 and j.
1408
What is the least common multiple of 54 and 33 - -1*(-2 + 5)?
108
Suppose -3*d - 16 = -52. Calculate the lowest common multiple of d and 1 + -8 + 975/39.
36
Calculate the common denominator of 97/60 and (-86)/(-946) - 773/7656.
3480
Let l = -4187 - -4967. Calculate the lowest common multiple of l and 48.
3120
Let s(y) = -y**3 + y. Let x be s(-5). Let d be (369435/x)/((-1326)/(-8)). Let k = 90/221 - d. Find the common denominator of -61/18 and k.
18
Suppose 0 = 12*q + 242 - 38. Calculate the common denominator of -11/112 and ((-30)/4)/((5049/(-220))/q).
1008
Suppose -3*b + 780 = 3*k, 7*k + 5*b = 9*k - 548. Let l = -232 + k. What is the least common multiple of 96 and l?
96
Let j = -7/84429 + -3911765/1350864. Find the common denominator of j and ((-2)/(2/(-27)))/(-16).
48
Let w = 43268 - 16874551/390. What i