and (-312)/(-4) - (4 + (2 - 2)).
814
Let b = 14 - 4863/347. Find the common denominator of ((-33)/162*4)/(11 - (-3912)/(-360)) and b.
3123
Suppose 0 = -12*a + 574 + 386. Calculate the lowest common multiple of 980 and a.
3920
Let s = 88/2032031 + -46283628167/1341140460. Let k = -488/15 - s. Calculate the common denominator of 69/4 and k.
44
Suppose 24 = -b - 0*b. Find the common denominator of 0 - 26/27 - (-25 - b) and 1/(-15)*-32 - -1.
135
Let t = -1030/43 + 54025/2408. Calculate the common denominator of -41/280 and t.
280
Let j = 333/119 + 86/17. What is the common denominator of j and 8 + (-153)/18 - (-32)/70?
70
Suppose -5*g = 5*k - 1210, k - 5*g = 52 + 154. What is the smallest common multiple of k and 22?
2596
Let u = -2339 + 65525/28. Calculate the common denominator of u and (6 - 100/(-84))/(-2).
84
Suppose 0 = -0*c + 6*c - 2*c. Let x be (2*-15)/5*(-4 + c). Suppose -8*s + 10*s = x. What is the least common multiple of s and 51?
204
Let c = 185 - 161. Suppose m - c = 75. Calculate the lowest common multiple of 11 and m.
99
Calculate the common denominator of 6734/(-1428) + (-3 - (-98)/34) and 67/3194.
9582
Let y(b) = -b**3 + 10*b**2 - 17*b + 8. Let q be y(8). Suppose q = -8*m + 6*m + 32. Calculate the lowest common multiple of 4*((-38)/8 + 5) and m.
16
Suppose 0 = 25*t + 48 - 173. Suppose 138 = -t*c + 7*c. Calculate the smallest common multiple of c and 5.
345
Let j = 28101880010037809/5990577371415 - 2171348045/463113. Let m = j + -2/219245. Let q = 3/413 + m. What is the common denominator of q and -26?
7
Suppose -9*q + 328 + 133 + 259 = 0. Calculate the smallest common multiple of q and 10.
80
Let b = 13153 + -12868. What is the smallest common multiple of 38 and b?
570
Suppose k = -m - 2*m - 17, 4*k - 4*m - 12 = 0. Calculate the smallest common multiple of -5 + 1746/12 - k/(-4) and 28.
140
Let j = 679 - 1381. Let a = j - -10516/15. Let i = 104/253 - 1669/759. Find the common denominator of a and i.
165
Let z(c) = -c**3 - 4*c**2 + 14*c + 3. Let g be z(5). Find the common denominator of g/(-50)*(69/18 - 4) and -61/6.
150
Let w(p) = 340*p - 3. Let s be w(1). Suppose s + 377 = 3*u. What is the common denominator of -101/8 and ((-1)/(-6))/(14/u)?
24
What is the common denominator of (-17)/648*(19 - 306/36) and -67/288?
864
Let s = 1451/1288 + 3/184. Let k(o) = o**2 + 2*o - 2. Let f be k(-6). Find the common denominator of 6 + -12 + 104/f and s.
77
Let y be (-13754)/(-4582) + 12 + -15. Let n = y - 3145551/4582. Let d = n - -642. Find the common denominator of 151/18 and d.
18
Let r = 75 - 45. Suppose 0 = -322*d + 9247 + 10073. Calculate the smallest common multiple of r and d.
60
Suppose -15 = 4*y - 7*y. Suppose -342 = -11*a + y*a. Calculate the smallest common multiple of 1/(-3) + 133/a and 9.
18
Let h(u) = 11*u + 4. Let f be h(1). Suppose -6*d = -d - f. Suppose 3*r = -2*x + 17, -d + 0 = -r. What is the least common multiple of 12 and x?
12
Suppose -3*d + 730 = w, 4*d + w - 973 = -0*w. Let j be (-7)/((-84)/d)*-1*4. Let b = 95 + j. What is the least common multiple of b and 18?
126
Let y(f) = 47*f**2 + 12. What is the smallest common multiple of 192 and y(-2)?
4800
Let t be (-1*2)/((-15)/((-60)/8)). Calculate the common denominator of 8/40 - 237/35 and ((2/t)/(-42))/((-50)/(-8625)).
14
Let s = -8437019961/6367 + 1325117. Find the common denominator of s and -149/6.
38202
Let a = 275 + -259. Suppose 0 = a*s - 17*s + 64. Calculate the lowest common multiple of s and 112.
448
Let t be 9 - 2 - (-42 + -11). Suppose 53*n - t*n = -70. What is the lowest common multiple of 10 and n?
10
Suppose 5467 = -0*x + x + 5*q, 3*q = -5*x + 27225. Let y = -108871/20 + x. What is the common denominator of -41/162 and y?
1620
Let k(a) = -2*a**2 - 16*a + 48. Let j be k(-9). Suppose 31 = u + 5*p, -2*u = 5*p - 32 - 35. Let l = u - j. Calculate the least common multiple of 3 and l.
6
Suppose -32*g + 1344 = -20*g. Calculate the common denominator of 19/84 and (-15500)/279*(-6)/g.
84
Let g = 1767 - 1169. Let o = 44824/75 - g. Calculate the common denominator of 70/9 and o.
225
Suppose -6*s = -4*s - 8. Let y = -664 - -675. Suppose -y*d - 408 = -45*d. Calculate the lowest common multiple of d and s.
12
Calculate the common denominator of 10/(-4)*(-3942)/(-1080) and 65/358.
1432
Let n(o) = -7*o - 17. Let j = 27 + -35. Let y be n(j). Calculate the lowest common multiple of 12 and (-1)/(26/y*(-1)/8).
12
Suppose -2*j + 124821 = -839299. Let b be 12/(-8) - j/55. Let p = b - -8764. What is the common denominator of 5/12 and p?
132
Let b = -5088 - -5142. What is the smallest common multiple of 936 and b?
2808
Calculate the least common multiple of 15 and (-1449)/1127 - (-69309)/7.
9900
Suppose 44*p - 42*p - 10 = 0. Find the common denominator of 2/(-12)*(490/(-12))/p and -7/40.
360
Find the common denominator of 19/24 and (8/(-6))/((-33843)/(-1363) + -31).
3480
Let c = 149 + -1879/12. Let r = -1278097/234120 + 8/9755. Find the common denominator of c and r.
24
Let h = 53431267 - 2564818025/48. Let x = -7313/3 - h. Find the common denominator of x and 4/18 - (-26)/4.
144
Suppose 1215 = 2*k + y, 36*k - 39*k + 3*y + 1818 = 0. What is the lowest common multiple of k and 2?
1214
Suppose 0 = -3*h - 2*j - 0*j - 55, -j - 87 = 5*h. Calculate the least common multiple of 16 and h/5 + 3 - 324/(-10).
32
Let g(x) = 10*x + 30. Let f(q) = q + 2. Let l(t) = -6*f(t) + g(t). Let a(y) = y**3 - 7*y**2 + 8*y - 9. What is the smallest common multiple of l(6) and a(6)?
42
Let x(m) = -10*m**2 + 151*m + 429. Let n(g) = g + 4. What is the smallest common multiple of n(4) and x(17)?
424
Find the common denominator of 5/(-6)*38*(5 + 6919/(-1386)) and -155/378.
378
Suppose 123 = 5*x - 3*z + 95, 14 = 4*x - z. Calculate the lowest common multiple of 2942 and x.
2942
Let w = -55/832 - -75581/381888. Find the common denominator of -155/306 and w.
918
Let y = -138389/12 + 11520. Find the common denominator of y and (-9)/((-567)/(-14)) + ((-41236)/144)/13.
12
Let y(k) = -2*k**3 - 2*k**2 + 219*k - 27. Calculate the least common multiple of y(-13) and 192.
37824
Suppose -8*h - 28 = -5*z - 4*h, h - 18 = -5*z. Suppose 9*g - z*g = 1200. Calculate the common denominator of 113/14 and (1266/g + -5)*44/(-2).
140
Let a = -24935/3 - -930873/112. Find the common denominator of a and -47/20.
1680
Suppose -8*v - 213*v = -60996. Calculate the smallest common multiple of v and 30.
1380
Suppose -5*w = d - 45, -4*d - 3*w + 226 = -6*w. Let m = -17 + d. Let r = -5114 + 5120. What is the lowest common multiple of m and r?
114
Suppose 155*b - 120*b = 21175. Calculate the lowest common multiple of b and 440.
4840
Let i(y) = y**3 + 10*y**2 - 39*y + 48. What is the smallest common multiple of 1152 and i(-13)?
1152
Let p(a) = a**3 - 2*a + 20. Suppose 8*o + 156 = 5*o. Let w = -52 - o. What is the least common multiple of 12 and p(w)?
60
Let s = 23362 + -22202. Calculate the least common multiple of s and 1015.
8120
Let o(u) = 8*u + 1196. What is the lowest common multiple of 2600 and o(13)?
2600
Let z = 15 + -17. Let c(j) = -9*j - 8. Let a be c(z). Suppose -3*q + a - 4 = 0. Calculate the smallest common multiple of q and 6.
6
Suppose 8*z = -12 + 28. What is the common denominator of ((-552)/40 - z/10) + 0 and -6/157?
157
Let i be -5*(-5 - (-110)/5). Let z = 83 - i. What is the least common multiple of z and 12?
168
Let p = -8174 + 8264. Calculate the smallest common multiple of 1584 and p.
7920
Calculate the common denominator of (3 + (-2906)/970)*-22*(-15)/(-90) and -53/40.
11640
Let f = -4319 - -4327. Calculate the smallest common multiple of f and 56.
56
Suppose 5*z + 109*f - 292 = 115*f, -3*z + 176 = -4*f. Let r(b) = 2*b**3 + 5*b**2 - 3*b - 2. Calculate the lowest common multiple of z and r(3).
616
Let s(f) = 1. Let i(u) = u - 3. Let d(j) = -4*i(j) - 10*s(j). Let p be d(4). Let o = -12 - p. What is the smallest common multiple of 44 and o?
44
Let k = -40 + 49. What is the least common multiple of k and (110/(-66))/((-5)/12)?
36
Let r(h) = h**2 + 6*h - 7. Let y be r(-6). Let s be (-26)/y + 2 + 4/14. What is the smallest common multiple of 7 and -1 + (-16)/(-12)*s?
7
Let u = -2975 + 2987. Calculate the smallest common multiple of u and 96.
96
Suppose -3*g - 9 = -21. Let x(n) = n**2 - 3*n + 2. Suppose 43*q = 47*q - 10 - 62. Ca