and q.
1449
Let z(i) = i**2 - 20*i + 6. Let o be z(9). Find the common denominator of o*(5 + -11)/60 and -27/22.
110
Suppose 5*f + 57 = a - 79, 992 = 5*a + 14*f. What is the smallest common multiple of a and 1832?
40304
Suppose g - 29 = -3*d + 124, -46 = -d - 2*g. Let r be 6/(-6*(-4)/8). Suppose -3*l + t = -d, -r*l + 2*t + 34 = t. What is the common denominator of -44/19 and l?
19
Let z(h) = 12*h**2 + 4*h. Let v be z(-3). Let d = -75 + v. Calculate the smallest common multiple of 9 and d.
63
Let q(s) = 3*s**2 - 67*s + 29. Let f be q(22). What is the common denominator of f - ((-5785)/(-385) - 8) and -69/44?
308
Let n be 4 + ((-5)/(3300/7569) - -4). Let w be 235/220 + 3/(-12). Let i = n + w. Calculate the common denominator of 109/22 and i.
220
Suppose -14*p - 72 - 138 = 0. Let b = p - -22. What is the lowest common multiple of 10 and b?
70
Let l be (-1 + 1218)*12/(-6). Calculate the common denominator of (6*(-40)/72)/((-32)/58) and (-2)/(-13) - l/(-104).
24
Let a be ((-14372)/(-8))/((-4)/(-8)). Let n = a + -32384/9. Calculate the common denominator of n and -9*(-46)/(-80)*4/(-3).
90
Let m = -33 + 69. Suppose 2*o + 49 = v, 2*v - 5*o - 64 - m = 0. Let n = v + -18. What is the smallest common multiple of n and 3?
27
Suppose 254*u - 257610 = -23*u. Calculate the lowest common multiple of 51 and u.
15810
What is the common denominator of ((-13)/(-9) + 0)/(660/(-99)) and -149/354?
3540
Let z = 0 - -44. Let t = z - 26. Let q = 255 - 234. What is the least common multiple of t and q?
126
Let l = -33887 - -33932. What is the least common multiple of 1585 and l?
14265
Let q = 15/2896 - 229631/443088. What is the common denominator of -79/272 and q?
2448
Let o = 11420 + -46197/4. Let r = o + 31561/244. What is the common denominator of 1/(-2) - 15/8 and r?
488
Let w(v) = 8*v**2 - 56*v + 696. What is the smallest common multiple of 8 and w(29)?
5800
Suppose 0 = 8*s - 14 - 18. Find the common denominator of 10/28 + 2 + -1 and 2 + (-10)/s + 776/(-176).
154
Suppose -4*h + 102*k + 92 = 106*k, 67 = 2*h - 5*k. What is the smallest common multiple of 52 and h?
52
Let x = 60509/30 + -10104/5. Find the common denominator of 91/132 and x.
132
Calculate the common denominator of -13/498 and (30/8)/15 - (-484)/(-240).
2490
Suppose 3*h - 11 = -2, 5*f - h + 4658 = 0. Let n = 1552 + f. Calculate the common denominator of ((-2)/(-4))/((-9)/n) and -47/6.
6
Let h(g) = -g**2 - 28*g - 100. Let n be h(-4). Let w be (-170)/7 - 4/(-14). Find the common denominator of 87/4 and ((-5)/w)/(n/204).
8
What is the common denominator of 50/39 and (-396)/240*(1 + 94/(-78))?
195
Suppose 11 + 589 = 10*x. Suppose -21*z - 540 = -39*z. Calculate the least common multiple of z and x.
60
Let b = -619469190823/1028280 + 487012521/836. Let l = b + 99408/5. What is the common denominator of l and -15/2?
984
Let z = -9548699/10 - -956785. Let n = -1920 + z. Calculate the common denominator of n and -67/136.
680
Suppose o - 21 = -9*k + 4*k, 3*k = -4*o + 67. Suppose o - 47 = -z + 5*r, 0 = -3*z + r + 23. What is the least common multiple of (2 - (-2 + 3)) + 17 and z?
18
Suppose -3 = -y, -2*y = -2*i + 2*y - 24. Find the common denominator of -233 - -223 - 241*3/(-87) and i/2*(-69)/(-99).
319
Let i be (11846/36)/(8/((-1488)/(-14))). Let o = -8749/2 + i. What is the common denominator of o and (-2)/(-24) - (0 - -3)?
84
Let y(r) be the third derivative of r**5/60 + r**4/24 - 10*r**3/3 + 28*r**2. Let z be y(0). Calculate the common denominator of -59/15 and 3/(30/(-8)) - 101/z.
60
Let n(t) = t**3 + 26*t**2 + 87*t + 618. What is the least common multiple of n(-22) and 116?
18560
What is the common denominator of 53/13 and (-333)/(-27) + -12 - (-362)/2652*-2?
663
Let z = 8127 + -211243/26. Let i(h) = -h**3 + 10*h**2 - 10*h - 42. Let p be i(8). Calculate the common denominator of 30/(-7) + ((-110)/(-20) - p) and z.
182
Suppose 0 = g - 0*g + 5*i - 6, -5*g = i - 30. Suppose 15 = -g*f + 11*f. Suppose 2*a + 3 = f*a. Calculate the lowest common multiple of a and 24.
24
Calculate the smallest common multiple of (-4)/(-36)*14353 + 1 - (-20)/90 and 12.
1596
Let l be (-14 + 6)*(-3)/(-3). Let r be -1530*(-5 - 44/l). Calculate the common denominator of -3/4 and (-1)/7 + r/(-308).
44
Let o = 5 + -3. Suppose 0 = 3*q - q - 114. Suppose o*s - q = -5*g, g + 5 = s - 6. Calculate the lowest common multiple of 14 and s.
112
Let b(o) = -4*o - 9. Let g(z) = -z**3 - 30*z**2 - 81*z + 27. Calculate the least common multiple of b(-3) and g(-27).
27
Let h be (3/(-108))/((-2)/8287386*3). Let o = h - 38370. Find the common denominator of o and -41/5.
180
Let w = -1/4340 - 70519/26040. Let m = -938/125 + 25009/2250. What is the common denominator of w and m?
72
Suppose -21*k - 14883 = -142*k. Calculate the least common multiple of k and 574.
1722
Find the common denominator of (15/18)/(112/(-126)) and 14/4*(-495)/693.
16
Let f be (-2 - (-9)/5) + (-224)/(-70). Let g(q) = -q**3 + 6*q**2 - q - 2. Let s(c) = 2*c - 4. Calculate the smallest common multiple of s(6) and g(f).
88
Let f be 6/(-6962)*(-57 - -59). Let l = -215876/31329 - f. What is the common denominator of 53/36 and l?
36
Suppose -5*x = 22 - 62. What is the lowest common multiple of 2/(-12) - (-11011)/726 and x?
120
Let c(v) be the third derivative of -v**6/60 - 41*v**5/60 + v**4/2 - v**3/6 + 8*v**2 - v. Calculate the lowest common multiple of c(-21) and 10.
940
Suppose 0*t + 4*t = 60. Suppose -37*v - 5764 = -26*v. Calculate the common denominator of 3/t + v/(-80) and 43/10.
20
Suppose 6*n - 43 = 11. Let b(d) = -18*d**2 + 63*d**2 - 24*d**2 - 3*d - 3 - 19*d**2. What is the least common multiple of b(3) and n?
18
Suppose 913 = -11*r + 1133. Suppose -33 - 87 = -15*b. What is the lowest common multiple of b and r?
40
Let z = -437/50 + 9413/1200. Calculate the common denominator of z and -97/1560.
3120
Suppose -2*r + 0*r = 2*q - 30, -3*r = 4*q - 59. Let k(w) = -12*w + 190. Find the common denominator of k(q) and (-1)/(((-15)/(-63))/(-1)).
5
Let n = -36735 - -36753. Calculate the smallest common multiple of 852 and n.
2556
Let b(o) = 23*o + 152. What is the lowest common multiple of 95 and b(0)?
760
Suppose -6 = -307*h + 304*h. Suppose h*s + 75 - 111 = 0. Calculate the lowest common multiple of s and 11.
198
What is the common denominator of 42 and 10/(-160) - 2835/(-19760)?
247
Let d = -71 + 107. Let b(m) = m**3 + 13*m**2 - 32*m - 18. Calculate the lowest common multiple of d and b(-15).
36
Let t(j) = 14*j**2 + 18*j + 15. Let u be t(-7). What is the common denominator of (u/(-250))/(94/(-15)) and 77/24?
1128
Find the common denominator of 6403/4044*(-16)/(-99) and 37/342.
11286
Calculate the least common multiple of (12 + (-7 - 0))*(117 - -4) + 7 and 3.
612
Let i = -1129647/350 + 19121/175. Let f = i + 3112. Find the common denominator of -111/10 and f.
10
Calculate the common denominator of 14/(-49) + 32347/21462 + (-3 - -2) and 83/15.
2190
Suppose -3*b + 34 = 9 - 11. Calculate the smallest common multiple of 3972 and b.
3972
Calculate the common denominator of (2 - 1)/(5 - 16) - (-3811)/38170 and 121/4164.
20820
Calculate the lowest common multiple of 28 and 420/(-40)*80/(-6).
140
What is the common denominator of 0 + (-1975)/(-80)*(-2)/(-225) and -161/600?
1800
Suppose 8*x + 4*o = 11*x - 26, 0 = 4*x - 5*o - 33. Calculate the least common multiple of x and 430.
430
Let y = 11509 - 11488. Calculate the lowest common multiple of 1335 and y.
9345
Suppose -14*h = 22*h - 864. Let n(y) = -y**2 + 11*y - 1. Suppose 0 = -2*p + 8 - 0. Calculate the least common multiple of n(p) and h.
216
Let i = -12461/6390 + 2/355. Suppose -3*g + 325 = -2*l, l + 17*g = 13*g - 135. What is the common denominator of (l/175)/((-3)/5) and i?
126
Suppose 11*h + 6*h - 17 = 0. What is the common denominator of ((-684)/192)/(h*-12) and 107/24?
192
Let g = 1372 + -1264. Calculate the smallest common multiple of g and 99.
1188
Let v(w) = w**3 + 35. Let y(j) = j**2 + j - 6. Let s be y(-3). Let d be v(s). Calculate the common denominator of 16/56 - 59/d and 63/5.
5
Let p = -1 + 7. Suppose 6*y - 5*y = -3*w + 35, -3*w + 4*y = -40. Calculate the least common multiple of w and p.
12
Let m = -421 - -404. What is the least common multiple of 80/(-24)*(3 - (-2 - m)) and 24?
120
Let w be -24 + 22 + 2 + 834/2. Let z = w - 