8)/(-8) - (-7)/(-28). Let q = l - h. Calculate the lowest common multiple of 30 and q.
30
Let r = 65062559/161136 + -161436/373. Let b = r + 880/27. Calculate the common denominator of 54/5 and b.
80
Suppose -18*t + 17*t = -3*a + 112, 3*a - 113 = 2*t. Suppose -10 = -5*i, 3*n - a*i - 794 = -38*i. Calculate the smallest common multiple of n and 22.
264
Let g(p) = 2*p + 36*p**2 + p**3 - p - 14*p**2 + 19 - 1. Let w be g(-22). Calculate the common denominator of -57/22 and 0 + w + 94/(-20).
110
Let w be (-156)/(-48) + 15/20. What is the lowest common multiple of 92/(-138)*(-54)/4*w and 18?
36
Let u(m) = 2*m - 10. Let j = 75 + -69. Let c be u(j). Suppose -c*o = -o - 8. Calculate the least common multiple of o and 30.
120
What is the common denominator of -14 - -12 - (-5)/(-7) and (21/(-154))/(6/(-24)*2)?
77
Suppose d - c = -4, 0*d + 4*d + c = 9. Let z be d*(40/(-22) - 24/132). What is the common denominator of 47/9 and ((-416)/(-12))/(z + 0)?
9
Let b = 854 - 838. Calculate the least common multiple of 76 and b.
304
Let q = -12 + 21. Calculate the lowest common multiple of 7 + 7/((-49)/(-35)) - -2 and q.
126
Let s = 5389/2180 + -46/109. Find the common denominator of (-132)/(-27) + ((-404)/(-24) - 18) and s.
180
Let a be 2*15*(-60)/(-150). Suppose 0 = -5*b - 2*d + 148, 5*d = 2*b - 48 + a. What is the smallest common multiple of b and 140?
140
Suppose -5*q = 4*p + 1567, -2*q - 334 - 292 = 2*p. Let n = -310 - q. Calculate the least common multiple of -3 - (-4 - -2) - -10 and n.
45
Let q(h) = h**3 + 3*h**2 - h - 9. Let m be q(-3). What is the common denominator of (-1318)/(-144) + m/(-27) and 33/12*1/2?
8
Suppose 3439*c - 504 = 3436*c - 4*v, -5*c + 5*v + 840 = 0. Calculate the least common multiple of 1260 and c.
2520
Calculate the lowest common multiple of 51 and 1920/(6 - 11)*(-1)/(-4)*-3.
4896
Let a = 19732 - 8879. Let u = a - 390739/36. Find the common denominator of u and 29/(-5) + 1/(-4).
180
Let v = -14508769/432 + 33585. Find the common denominator of (78/225)/(36/(-585)) and v.
2160
Let v = -40587/61 + 159827397/240218. Calculate the common denominator of v and 11/1432.
15752
Let v = 461 - 34. Suppose -517 = -5*l - v. Calculate the smallest common multiple of 10 and l.
90
Let p be (-4)/2 + ((-417366)/26840)/27. Let i = -5/5368 - p. What is the common denominator of -101/20 and i?
40
Suppose 3*c = 5*g + 222, -3*g - 106 = -0*g + 5*c. Calculate the common denominator of -41/18 and (7 - (-275)/g) + (-1 - -2).
126
Suppose -13*g - 170 = -5*i - 11*g, 2*g = -5*i + 150. What is the lowest common multiple of i and 6*((-1015)/(-348) + (-2)/8)?
32
Let f = 6272 + -3263. Calculate the lowest common multiple of f and 11.
33099
Let w = -64 + 100. Calculate the common denominator of (27/w)/(3/(-46)) and (-2188)/504 - -2*(-1)/(-7).
18
Suppose 100 = -22*f + 540. Let x be (-3)/18*-3*(64 - -8). Suppose -v + 4 = -x. What is the smallest common multiple of v and f?
40
What is the common denominator of (6137/703 - (0 + 2)) + -6 and (-4)/10 - (-24)/40?
185
Let t(u) = -u**2 - 24*u + 62. Let m be (-4 - 0/4) + 23. Let z = m + -12. What is the smallest common multiple of z and t(-26)?
70
Let i(t) = 2*t**3 - 149*t**2 - 74*t - 69. Calculate the lowest common multiple of i(75) and 903.
1806
Let m = 88 + -124. Let g = 484567/27 - 17949. Find the common denominator of g and m/(-12) + (-59)/9.
27
Suppose -3*v + 2*h + 22 = 0, 0 = -32*v + 30*v - 3*h + 32. Suppose -2*n = -265 - 671. What is the smallest common multiple of v and n?
2340
Suppose -4*a + 3491 = r, -5*a + 9399 = 4*r - 4565. Suppose 2029 = 23*z - r. What is the lowest common multiple of 16 and z?
240
Calculate the common denominator of (18/112)/(156/(-91))*12 and -13/458.
1832
Suppose -5*i = -i + p + 29, -i + 4 = -2*p. Let g(u) = -38*u - 217. Calculate the lowest common multiple of g(i) and 30.
330
Let i(k) = -172*k**3 - 4*k**2 - 2*k + 6. Let r be i(3). Let x = r + 93543/20. Find the common denominator of 18/20*(5 - 2) and x.
20
Find the common denominator of -55/12 and -1*3/(-6228)*(-40)/100*62.
10380
Calculate the common denominator of (35 + (-28060)/680)*(39/9 + -4) and (3/(-4))/(3/(-63)).
68
Let m = -14896/1413 + 184516025/19782. Let c = 9324 - m. Calculate the common denominator of -71/176 and c.
1232
Suppose 77 = 5*z + 352. Find the common denominator of ((z/(-100))/(-11))/(2/(-396)) and (-14)/77 + (-97)/(-110).
10
Let w be -3 - 1 - (33 - -7)*-1. Calculate the common denominator of 18/w - (-57)/8 and 17/22.
88
Let z = -246/13 - -2937/182. What is the common denominator of z and ((-10)/(-8))/((-72)/(-84) + -1)?
28
Let s(d) = -d**2 + 19*d - 72. Let m be s(11). What is the common denominator of 2/m*(-648)/(-14) and (202/8)/(1/(-2))?
14
What is the common denominator of 8/(-12) + 2 + (-618)/207 and -45/289?
6647
Suppose 4*u + 18 = 5*v - 94, -130 = -5*v - 5*u. Let h(b) = -b**3 - 18*b**2 + 77*b + 986. What is the least common multiple of h(-20) and v?
984
Suppose 0 = -4*t - 454*j + 452*j - 4, 3*t + j = 1. Calculate the lowest common multiple of ((-10)/(-4))/((-2)/(-12)) and t.
15
Suppose -4*y = 2*j - 3*y - 135, -5*j = -5*y - 375. What is the lowest common multiple of 20 and j?
140
Let u be (-22)/(-33) + 64/(-6). Let m = -248/37 + 1615/666. Calculate the common denominator of m and 4/(-10) + 107/u.
90
What is the common denominator of 365/438 + (-35)/20 and -95/82?
492
Let k(r) = -12*r + 86 - 71 + 0*r. Let b be k(-6). Let q = b - 345/4. Calculate the common denominator of 36/11 and q.
44
Let b = 292819/12 + -24389. Suppose -z = -17 - 25. What is the common denominator of 3 + 0 + z/(-52) and b?
156
Calculate the common denominator of (-4 + 156/8)/(-3) and (-3)/30*48/(-3).
30
Find the common denominator of -21/82 and (3*1256/(-408))/(-12).
8364
Let o be (-9 - -7)*(-3)/(-6). Calculate the least common multiple of (6 + (-6 - 2))*2*o and 38.
76
Let o = -45464 - -11456947/252. Find the common denominator of o and 34/63.
252
Calculate the common denominator of (10/90)/(19/(-12))*(-207)/104 and -67/78.
1482
Let p = -10337 + 10497. Calculate the least common multiple of 32 and p.
160
Let g = 3/3401 + 180103/170050. What is the common denominator of 27/350 and g?
350
Suppose 3*v + 4*p - 15 = 0, -5*p = -3*v + v + 10. Suppose -v*t = 327 + 653. What is the common denominator of 71/8 and 28/40*(-144)/t?
280
Let w(m) = 8*m**2 + 20*m - 7. Let p be w(-3). Suppose 5*g = 0, -21*y + 14 = -20*y + p*g. What is the least common multiple of y and 8?
56
Let l = 56567 + -8371853/148. What is the common denominator of 20/2109 and l?
8436
Let m = 9221/1045 + -5/209. Let q = 1893500/29 - 65312. Let f = q + 3473/348. Calculate the common denominator of f and m.
60
Let g = -3671/85 + 10537996/244035. Calculate the common denominator of 131/54 and g.
17226
Let v(g) = -5*g + 38. Let u be v(7). Calculate the least common multiple of 18 and u*((-68)/(-10))/((-48)/(-80)).
306
Calculate the common denominator of 115/24 and ((-1633)/(-207) - (-40)/(-5)) + (-254)/(-126).
168
Let y(i) = 2*i**2 + 95*i + 98. Let f be y(-44). Let w = f - -219. Calculate the lowest common multiple of 3 and w.
9
Suppose -3*q + 87 = 5*f - 2*f, -q + 38 = -2*f. Suppose 0 = -4*b + 28. Suppose b*z = -z + q. Calculate the least common multiple of 18 and z.
36
Suppose 0 = 3*c - 4*f - 33555, -2*c = -3*f + 4*f - 22359. Let k = c - 66935/6. Calculate the common denominator of k and 85/242.
726
What is the common denominator of 68/175 and 6 + (-449978)/113505*(-6)/(-4)?
4025
Suppose -2*p + 1914 - 9274 = -2*x, 0 = -4*p - 5*x - 14729. Let j = -14809/4 - p. Find the common denominator of j and 29/(-16269)*11*-42.
68
Let h be 3 + ((-330)/14 - (-36)/63). Let n = -9 - h. Calculate the least common multiple of n and 39.
429
Let b = 24 + -22. Let k(o) be the first derivative of o**4/4 + o - 201. What is the lowest common multiple of 49 and k(b)?
441
Suppose w = -5*d + 42, -5*w + 73 = 2*d - 68. What is the least common multiple of w and 255?
2295
Find the common denominator of (-43654)/(-160992) - (0 + (136/(-36) - -4)) and -107/774.
6192
Let t be 21410/144 - (-7 + 2). Let k = -3/1966 - 1200231/7864. Let a = k + t. Calculate the common denominator of a and 137/30.
90
Let s be 6/39 + (-680)/26. Let d be s/6 + 4 - 16502433/360. Let f = d + 45838. Calculate the common denominator of f and -27/20.
40
