209
Let g = 145623/220 - 3307/5. Calculate the common denominator of g and -101/448.
4928
Let d = 7499 + -8331390/1111. Let q = 96661/4444 + d. Calculate the common denominator of q and -77/32.
32
Let n(v) = 3*v**3 - 15*v**2 + 11*v - 7. Calculate the smallest common multiple of 144 and n(5).
144
Let o(j) = 0 + 13*j**2 - j**2 + j**3 + 9*j - 4. Let y be o(-11). Suppose 3*p + 44 = 5*w, 0*p + y = w + 4*p. What is the smallest common multiple of 3 and w?
30
Suppose -8 = -5*b + 2. What is the smallest common multiple of (-2 + 1 - 36/(-20))*10 and b?
8
Let b = -240 - -275. Calculate the smallest common multiple of 40 and b.
280
Suppose 22*s = 26*s + 100. Let o = s - -37. Let l = 20 - o. What is the smallest common multiple of 4 and l?
8
Let z = -231686/279 + 13305/31. Let a = 398 + z. Calculate the common denominator of -3/10 and a.
90
Suppose j = -0*j + 9. Suppose p = -2*p - j. Calculate the lowest common multiple of 20/p*9/(-6) and 1.
10
Let x = 523/10 + -17667/340. Find the common denominator of 55/18 and x.
612
What is the common denominator of (-271)/(-240) - (-528)/(-660) and 43/165?
2640
Calculate the common denominator of 13/126 and (-7288)/10080 - 12/(-20).
252
Suppose 2*f - 2 = n - 34, -f - 25 = -5*n. Calculate the smallest common multiple of 6/f + (-828)/(-45) and 10.
90
Let c = 3 - 1. Suppose 5*d - 1260 = 5*f, 149 = -f - d - 97. Calculate the common denominator of -2 - (c - f/30) and -19/8.
40
Suppose -2*s - 44 = -286. Let o = -41 + s. Calculate the smallest common multiple of 2 and o.
80
What is the smallest common multiple of 121 and (-53 - -54)*(24 + -1 - 1)?
242
Let c = -933 + 996. Calculate the smallest common multiple of c and 24.
504
Suppose -7*j + 6 = -4*j. Let v be 5/(-1)*j/5. What is the smallest common multiple of 20 and (30/(-21))/(v/14)?
20
Suppose 0 = -72*g + 16128 + 21888. Calculate the least common multiple of g and 6.
528
Let a be (-4)/(-790)*1431330/(-24). Let w = a + 195/79. Let f = -307 - w. What is the common denominator of -71/14 and f?
14
Suppose 0 = -3*s + 4*i - 449, -3*s + 2*s - 3*i - 128 = 0. Let k be (-3 + 6)*1 - s. Find the common denominator of 81/2 and (1 - -2)*k/54.
18
Let y = -2344 - -16375/7. Let o(t) = -t**2 + 13*t + 2. Let q be o(12). What is the common denominator of ((-704)/224)/((-6)/q) and y?
21
Let u(s) = -s**2 + 22. Suppose -5*k + 4 = -11. Suppose w = -q - 5, -k*q + 7*q = -2*w - 10. What is the smallest common multiple of 20 and u(q)?
220
Suppose -158*r = 86*r - 51*r - 4632. Calculate the smallest common multiple of (-4)/(-2) - (-2 - 26) and r.
120
Let i be (-258594)/(-81) + 2 - (-1 + 2). Let j = i + -3192. Find the common denominator of j and 115/24.
216
What is the common denominator of (-3)/(-1176)*52*8 and -61/70?
490
Let h = 567/10 - 14869/270. What is the common denominator of h and ((3 - 5)/12)/(6/(-50))?
54
Suppose 5*s - 13 - 22 = 0. Calculate the lowest common multiple of s and 16.
112
Let z be (-58 - -89)/(-1 - 10/(-8)). Let c = 134 - z. Calculate the smallest common multiple of 2 and c.
10
Let k be 2/2 - 23118/189. Let c = -1142/9 - k. Calculate the common denominator of (-2 - (-146)/16) + 1 and c.
56
Let k = -14890 + 297867/20. Let o = 345/2 + -494/3. Calculate the common denominator of k and o.
60
What is the lowest common multiple of (46/138)/(2 - (-407)/(-204)) and 32?
544
What is the smallest common multiple of 6 and 6/165*-5*(-11)/1?
6
Let t = -94969/35860 + -3/1793. Suppose -u + 0*u + 1 = 0. Find the common denominator of 351/36 + (-2 - u) and t.
20
Suppose 127 = -10*v - 103. What is the smallest common multiple of 8 and (2/1)/(-2) - v?
88
Suppose b = 5*h - 227, 0 = -h + 5*b + 54 + 1. What is the lowest common multiple of h and 102?
1530
Suppose -4 = -4*x - 4*i, -3*x + 4 + 1 = 2*i. Suppose -5*z = 3*h - 26 - 66, -60 = -x*z - 3*h. Calculate the smallest common multiple of 6 - (2 - 0)/(-1) and z.
16
Let c(j) = j**2 + 13*j - 1. Let s be c(-9). Let a = s - 80. Calculate the least common multiple of (-18)/a + 154/13 and 8.
24
Let u = 170 - 148. Let t(s) = -s**3 - 6*s**2 - 2*s - 8. Calculate the least common multiple of t(-6) and u.
44
Let g(a) = a**3 - 15*a**2 + 36*a + 4. Let b be g(20). Let c = b + -40886/15. Find the common denominator of 28/5 and c.
15
Let f be 0 - 3/(6/56). Let o = -14 - f. What is the lowest common multiple of o and (-1*1/(-1))/((-42)/(-420))?
70
Let y be 10/4 - 1/(-2). Let f = -1 + y. Let o = -8 + 13. What is the lowest common multiple of o and f?
10
Suppose 4*p + 0*p + 5*i + 20 = 0, 0 = p - 4*i + 5. Suppose 0 = -5*v - 0*v + s + 15, 3*s + 15 = 0. Calculate the least common multiple of v and (156/30)/2 - 2/p.
6
Suppose -2*x + 2 = -6. Suppose x*d - 17 + 1 = 0. Suppose -1136*z + 1148*z - 108 = 0. What is the smallest common multiple of d and z?
36
Let s be (-2)/6 - (-490)/(-15). Calculate the common denominator of -65/3 and (85/s)/(-1*8/(-12)).
66
Suppose -9*i + 5*i = -1980. Find the common denominator of -21/2 and i/120*2/6.
8
Let i = -99551/10 - -9965. What is the common denominator of 1/11 and i?
110
Let k = -257669/12 + 21485. Calculate the common denominator of 151/96 and k.
96
Suppose -2*i = 6*m - m + 2, 2*i + 4*m = 0. Suppose 5*x + d - 29 = 0, 16 + 5 = i*x + 3*d. What is the smallest common multiple of 7 and x?
42
Let p(d) = -d**2 - 8*d - 5. Let o = 1333 + -1329. Calculate the smallest common multiple of p(-7) and o.
4
Let z = 2/1071 - -23203/1071. Calculate the common denominator of z and 1/(-4) + (-807)/252.
42
Suppose 0 - 12 = -3*i. Suppose s - 2*s + 2*p = 7, -i*s + 3*p - 8 = 0. What is the smallest common multiple of 7 and 10 + -1 + s - 3?
7
Let t be -513371*(6/(-168))/(2/2). Let n = -18332 + t. Calculate the common denominator of 57/4 and n.
28
Let p(l) = -6*l**3 - 607*l**2 - 103*l - 190. Suppose s + 0*s = 27. Calculate the least common multiple of s and p(-101).
108
Let y be (-297)/6*(-8)/12. Find the common denominator of -59/5 and 38/(-57) - (-52)/y.
55
What is the common denominator of (0 - 2 - -4) + 124/(-45) and -49/25?
225
Suppose -5*u - z - 2*z + 2064 = 0, u - 418 = 2*z. Suppose 5*h = u + 446. Calculate the common denominator of h/18 + (-20)/5 and -52/9.
9
Let b be -79*2/4*(1 + 1). Let p = -2803/36 + -497/468. Let o = b - p. What is the common denominator of o and 35/11?
143
Let v = 15/427 + -18511/4270. Let m = 47/12 - 19/4. Find the common denominator of v and m.
30
Suppose -3*u + 5*u = -f - 492, 5*u = 2*f + 1020. What is the common denominator of -17/44 and 5 + 0 + (-525)/f?
220
Suppose 5*o + 9 = 8*o. Find the common denominator of -41/2 and o*(-1)/(-4) - 131/12.
6
Let i = 53/80 - -597/80. Suppose w - 4 = -w. Calculate the common denominator of i and (174/(-12))/(w - 0).
8
What is the common denominator of 49/316 and (-230)/45 + 1/(-4)*-8?
2844
Let k(u) = u**3 + 3*u**2 + u - 1. Let b be 24/(-18) - 4/6. What is the smallest common multiple of k(b) and 5?
5
Let d = -1878 + 1905. Calculate the smallest common multiple of 405 and d.
405
Let q(w) = 4*w. Let l be q(-1). Let f = l - -7. What is the smallest common multiple of 33 and f?
33
Let g be (-1 - -3) + 7/370*-191. Let z = g - -1/74. Calculate the common denominator of z and 2/7.
35
Let t(m) = 2*m**3 + 16*m**2 + 6*m - 12. Let x be t(-6). Suppose -120 = -2*q - x. What is the least common multiple of q and 14?
84
Let d = -133 - -134. What is the lowest common multiple of 6 - d/1*0/9 and 5?
30
Suppose -3*p - 2*p - 10 = 0, -4*a = 5*p - 70. Let o = -890 + 904. Calculate the least common multiple of a and o.
140
Let p = -153 + 384. Let u be (1/122)/((-11)/p). Let q = u + 3317/488. What is the common denominator of 49/10 and q?
40
Suppose 16 + 16 = b. Let p = 3168 + -3164. Calculate the least common multiple of b and p.
32
Let g(i) = -6*i + 371. Calculate the smallest common multiple of g(60) and 843.
9273
Let i = -7 - -17. Let a = -1 - -5. Suppose -60 + 16 = -a*h. Calculate the smallest common multiple of i and h.
110
Let t(g) = 141*g + 3. Let w be t(6). Let m = -2021 - -8123/4. What is the common denominator of m and (-2)/(w/(-291) - -3)?
4
Suppose 4*k + k + 15 = 2*d, -2*k + 5*d = -15. Find the common denominator of 67/102 and k/(-10) + -1 + 118/(-18).
306
Suppose -4*a - 3*f = f - 252, -297 = -5*a + f. What is the least common multiple of 28 and 8/12*(0 - a/(-2))?
140
Let q = 8137/2 + -3029. Let