c(a) = 54*a**2 - 378*a + 1530. What is the smallest common multiple of c(4) and 147?
882
Suppose -4*q - 17817 = -q. Let v = q - -71375/12. Find the common denominator of (68 - 179)*(-2)/36 and v.
12
Let m = 923/28 + -131207/3948. Calculate the common denominator of 87/470 and m.
1410
Let r(m) = 5*m**2 - 2*m + 1. Let a be r(1). Let w be (a - -8)/3 - -28089. Let u = -617935/22 + w. Find the common denominator of 115/6 and u.
66
Let x be ((-6)/(-3))/14 - 118/(-7). Calculate the smallest common multiple of 7/(-4)*x/(17/(-12)) and 27.
189
Let w = -1/529 - -2657/6348. What is the common denominator of w and -79/162?
324
What is the common denominator of 58/25 and (714/2520)/(-110*2/(-18))?
2200
Suppose 0 = 3*v + 5*c - 151, -c + 2582 = -4*v + 2745. Calculate the smallest common multiple of 544 and v.
11424
Suppose -2*k = -0*k - 5*u - 36, -2*u = 0. Let o(z) = -4 - 3*z + 1 + 3. What is the lowest common multiple of o(-4) and k?
36
Let d be (-1156)/572 - 9/(18/(-4)). Let u = -191/2288 - d. Find the common denominator of u and -19/16.
16
Calculate the lowest common multiple of (10 + -4)/2*16/12 and 666.
1332
What is the common denominator of -13/1504 and 4/(-12) + 3 + (-30401)/11280?
7520
Let y = -145133/351 + 5370/13. What is the common denominator of 52/27 and y?
27
Let w be (-3)/(-18)*-3*140/5. Let u(k) = 2*k**3 + 28*k**2 - 6*k + 6. What is the least common multiple of u(w) and 27?
270
Let q = -558349/4298 - -1819/14. Let f be (-3)/(22104/9194)*9. Let v = q - f. Find the common denominator of v and 3/4.
4
Let g = -1338079/104 - -12866. What is the common denominator of -15/104 and g?
104
Find the common denominator of (-617236)/68411 + (-21)/(-7)*3 and -93/1348.
9436
Suppose 5*v + 0*q + 830 = 3*q, 0 = -4*v - q - 681. Let x = 203 + v. What is the least common multiple of 2 and x?
34
Suppose -3*f + 2*s = -29, 2*f - s - 31 = -2*s. Let v(k) = k**2 - 13*k - 6. Let z be v(f). Find the common denominator of 44/9 and ((-123)/z)/(66/(-8)*2).
99
Suppose 2570 = -14*g - 19312. Let o = g + 10912/7. Find the common denominator of o and 93/4.
28
Let x = -5707 + 28532/5. Calculate the common denominator of -28/605 and x.
605
Suppose -p + 12 = -4*p. Let i = 5 + p. Suppose 0 = 2*u - 7*u + 2*a + 34, 5*u - 32 = a. Calculate the lowest common multiple of i and u.
6
Let s = 23366/11 + -2126. Find the common denominator of s and (-26)/12*(19440/9280 - (-36)/(-16)).
1276
Suppose w - 4*w + 10 = -2*u, -5*u = -w + 25. Suppose 5*x = -w*x + 3*k + 349, 286 = 4*x + k. Let j = -59 + x. What is the smallest common multiple of j and 12?
12
Calculate the common denominator of -1/112 and 249/1008*8/(-6).
1008
Suppose -32*r - 54*r + 1720 = 0. What is the lowest common multiple of 18816 and r?
94080
Let f = 80214313/78042 - 24/13007. Let o = 1014 - f. What is the common denominator of o and -7/33?
66
Let n = 6114 - 61211/10. Let a be 2 + 5 + (5 + 2 - 12). What is the common denominator of n and (-10)/a - (-161)/70?
10
Suppose 2*y - y = -5*r + 134, 3*r - 9 = 0. Suppose 0 = -4*h - t + 17, -5*h + 4*t + 19 = 6*t. What is the lowest common multiple of h and y?
595
What is the common denominator of -45/17794 and (-3)/10 + 24035/(-3800)?
71176
Suppose -54 = 6*d - 126. Suppose -5*f + 2 = p - 213, 2*p = 4*f - 186. What is the smallest common multiple of d and f?
132
Let r = 29 - 19. Let p = 34 + r. Suppose 3*j - p = -8. Calculate the lowest common multiple of 12 and j.
12
Let a(c) = 7*c**3 + 2*c**2 + 2*c - 2. Suppose -39145*u + 39067*u + 780 = 0. Calculate the smallest common multiple of u and a(2).
330
Let f = -176945763488 - -12906423988563157/72940. Let z = -4/3647 + f. Calculate the common denominator of z and 715/242 + 1*-1.
220
Suppose -2*n - 4*v = -0*v - 52, 2*v = 4*n - 64. Calculate the smallest common multiple of (14/18)/(43 - (-95952)/(-2232)) - 4/12 and n.
72
Let p = 78293/189480 - 34/1579. What is the common denominator of p and 23/30?
120
Let u = -1/7799 - 147722/3579741. Find the common denominator of 22/459 and u.
459
Let u(j) = 5*j**3 + 7*j**2 + 5*j + 30. Let w(g) = -4*g**3 - 7*g**2 - 7*g - 31. Let z(q) = 3*u(q) + 4*w(q). What is the lowest common multiple of z(-6) and 4?
8
Let t(l) = 2*l + 4*l**3 - l**2 + l + 4*l**2 + 2*l**3. Let m be t(-2). Let h = 78 + m. What is the least common multiple of 33 and h?
396
Suppose -4*s = s - 275. Calculate the common denominator of 525/s*2/4 and 4/(-2) + (-1612)/832.
176
Let a(p) = 4*p**2 + 78*p + 1248. What is the smallest common multiple of a(-27) and 539?
22638
Suppose -12 = -5*t - 2, t = -5*p + 2402. Calculate the common denominator of -53/6 and (252/p)/(15/28 - 0).
150
Let k(f) = -2*f**3 - 57*f**2 + 28*f - 23. Suppose 2*s = 0, -3*i - 4*s = i + 116. What is the smallest common multiple of 12 and k(i)?
12
Let p = 23045243 + -110524982547/4796. Let i = 46/109 + p. Calculate the common denominator of i and -5/4.
44
Calculate the common denominator of 658/(-112)*12*1/54 and 39/268.
2412
Suppose 2*d - 10 = 0, -4*b = 2*d + 11 - 41. Let h(n) = -19*n + 105. Calculate the least common multiple of h(b) and 12.
60
Let r = -1/990 + 56437/6930. Let h = -2104739/427976 + 300/61. Let v = 354311/21048 - h. Calculate the common denominator of r and v.
42
Let b = -375/4 + 7831/84. What is the common denominator of b and 137/150?
1050
Let h = -151 - -198. Suppose -547 = -20*l - h. What is the smallest common multiple of l and 20?
100
Calculate the common denominator of -14/613 and (1301925/76625 - 17)*(2 + -3)/(-4).
3065
Suppose -n + 3*f + 6351 = 0, -n + 5747 = 5*f - 628. What is the least common multiple of 12 and n?
6360
Suppose 6 = -2*k - 0. What is the smallest common multiple of (-2)/(-3) - (246/(-9) - 2) and 30 + 0/4 - k?
330
Suppose -139*k = -140*k + 1654. Let h = -3241/2 + k. Calculate the common denominator of -49/18 and h.
18
Let k be 3/((10/(-4))/(-5)). Suppose -2 = -2*g + k. Suppose -y + x = -3, -2*y - 2*x = y - g. Calculate the lowest common multiple of 8 and y.
8
Let o = 17036427206/8205 + -2076347. Find the common denominator of o and 73/39.
106665
Let v = -3350 - -3430. Suppose 212 = 4*j + 4*y, -5*j + y + 227 = -j. What is the least common multiple of j and v?
560
Let g be 2 + (-48)/(-30) + (-4)/(-10). Let y be (1 - g/3)/(2/(-78)). Suppose 18*p - y*p = 150. What is the lowest common multiple of p and 20?
60
Let f = 15 + -12. What is the common denominator of 180/40*(1*-1 - 8) and (-1 + (-258)/10)/(7 - f)?
10
Let r = -52/83 - -11196/913. Let y = 22411/1925 - r. Let v = y - -163/2100. Calculate the common denominator of v and 53/4.
12
Suppose -2*m + 72 + 176 = 0. Suppose 3*l - 7*l = f - m, 124 = f - l. Calculate the lowest common multiple of f and 4.
124
Let l be 0/(-1) - (8/4 + -2). Suppose l = -3*g + 5*w + 58, -5*g + 8*g + w = 46. What is the smallest common multiple of 358 and g?
2864
Calculate the common denominator of -23/55 and (-14 - 1110/660)*(-1)/95.
2090
Let u = 6865/1569609 - -62/2603. Calculate the common denominator of -25/54 and u.
3618
Calculate the least common multiple of (7*3504/(-504))/((-70)/(-24) + -3) and 16.
1168
Let v be 4/7 - (-12)/(-21). Suppose -3*d - d + 24 = v. Suppose -2*f + d*r - 2*r + 16 = 0, 4*f = -r + 5. Calculate the lowest common multiple of f and 2.
2
Suppose -t + 141 - 27 = -10. Calculate the least common multiple of t and 744.
744
Let d = 14326/9 - 2048756/1287. Calculate the common denominator of d and 7/351.
3861
Suppose -8*f = 23*f + 27497. Let k = -879 - f. Let h = 68 + -30. What is the lowest common multiple of k and h?
152
Suppose 13*i - 1087 = -177. Let g = -1195/2 - -8419/14. What is the common denominator of g and 4/14 - ((-78)/i + -2)?
35
Let g be 47 - 0*9/36. Calculate the smallest common multiple of 14 and 13 + 2 + (-47)/g.
14
Suppose 5*y + 3*d - 3515 = 0, d = -3*y + 977 + 1132. Let w = y + -2877/4. Let n = -244 + 2047/8. Find the common denominator of n and w.
8
Let n be ((-13)/7 - -2) + (-176426)/(-84). Let u = n - 2098. Calculate the common denominator of u and 145/42.
42
Suppose 4*t - 2*m + 7 = 3*t, 0 = m - 3. Let p be 267 - (0/3 - -1)*t. What is the common denominator of -79/24 and 6/8*p/42?
168
Suppose -11 - 4 = -3*m + 3*u, -2*m + 4*u + 20 = 0. Let r(y) = -3*y + 8. Let h = 8 + 4. Calculate the lowest common multiple of h and r(m).
24
Let p = -1581 + 1714. Calculate the lowest common mul