the common denominator of b and (-3 - (-100)/(-14))/(6/7)?
96
Calculate the smallest common multiple of 325920/1649 + (-12)/(-34) and 1386.
1386
Suppose -3*l - 1241 = -4*r, l + 5*r = 3*l + 839. Let i = l + 422. What is the least common multiple of 55 and i?
165
Suppose 6 = -4*c + 62. Suppose -2*w - 8 = -5*o + 14, -3*w - 5*o = 8. What is the least common multiple of (w/4)/(c/(-308)) and 15?
165
Calculate the smallest common multiple of (-9 + 1)*-2*1 and (-1450)/(-90) - (-532)/(-171).
208
Let x(u) = -1 + 12*u**2 + 2*u - 11*u**2 + 0*u**2. Calculate the lowest common multiple of x(-4) and 109.
763
Suppose t + t - 4*v + 6 = 0, -2*v + 23 = 3*t. What is the lowest common multiple of 838/24 - (-81)/972 and t?
35
Suppose -4*m + 7 - 29 = 5*h, m - 4*h - 5 = 0. Let l(w) = 5*w**2 + 10*w + 5. What is the least common multiple of l(m) and 10?
20
Suppose -4*c + 99 = -3*c. Let f = 108 - c. What is the least common multiple of f and (-222)/(-15) + 1/5?
45
Let k = -3322 + 3346. What is the least common multiple of 1017 and k?
8136
Let m = 8136130357/1518 - 5359770. Let r = m + 164/69. Calculate the common denominator of (2/5)/((-12)/(-243)) and r.
110
Let w(m) be the first derivative of 2*m**2 + 38*m - 610. Suppose 0 = r - 5*r - 32. What is the smallest common multiple of 16 and w(r)?
48
What is the common denominator of -13/4 and ((-8)/(-192))/((-2)/38)?
24
Let v = 2125/2 - 38263/36. What is the common denominator of 13/438 and v?
2628
Suppose 0*j = j. Let h = 10 + j. Suppose -x + 2*k = -24, -10 = -5*x - k + 77. Calculate the lowest common multiple of h and x.
90
What is the common denominator of 117/224 and ((-5301)/(-18240))/((8/(-32))/(2 - 1))?
1120
Let y(h) = 68*h - 1310. Calculate the common denominator of y(19) and 49/12.
12
Let o = 73 + -30. Let c = o - 83. Let i = c + 56. Calculate the smallest common multiple of 14 and i.
112
Let m be (-9 + -209)*(-1)/(-51). Let o = m - -1657/153. Calculate the common denominator of 0 + -7 + 6 + 44/5 and o.
45
Let n be (-7)/(9 + 12040/(-1337)). Find the common denominator of 1*-1 + -3*n/(-3927) and -93/136.
1496
Calculate the least common multiple of 28 and 42/(-12 - 185/(-15)).
252
Let m = 55544350939/64 + -867898348. Let i = -17865 - m. What is the common denominator of i and 7/4?
64
Suppose -22*h - 280 = -42*h. Suppose -5*s - 69 = -8*s. Calculate the smallest common multiple of s + (3 - 6/3) and h.
168
What is the common denominator of ((-258)/105)/(49/(3430/(-6000))) and 39/35?
10500
Let b = -10018 - -120293/12. Calculate the common denominator of b and -1/2196.
2196
Suppose 0*u = 4*u - 16. Let b be (30/(-1))/2*(-1 - -5). Calculate the smallest common multiple of ((-5)/(b/16))/(2/18) and u.
12
Suppose 0 = -5*a - 2*c - 3990, 2*a + 327 + 1269 = 4*c. What is the common denominator of (-10)/95 - 12985/a and -103/30?
30
Let x(c) = -2 + 10*c**2 - 17*c**2 + 10*c**2 + 7*c - 5. Let d be x(-5). Let o = 53 - d. What is the lowest common multiple of 6 and o?
60
Suppose -12*y + y - 77 = 0. What is the common denominator of 58/4*11/(-22) and (-4 - y)*(-1 - 49/18)?
12
Let z(o) = o**3 - 23*o**2 + 49*o - 2. Let i be z(20). Let a = -180 - i. What is the lowest common multiple of a and 36?
252
Let l be 81*(-1)/(-3)*1377. Let v = 1338329/36 - l. Find the common denominator of v and -83/72.
72
Let w = 16198 + -16158. Calculate the least common multiple of 360 and w.
360
Let w be (-7 + (-77)/(-21))*84. What is the common denominator of -7/384 and (-4165)/w*(-2)/3?
384
Let o = -5138 - -5733. Calculate the smallest common multiple of 68 and o.
2380
Let c = 91414111178573/8552 - 10689208522. Let a = c - -2/1069. Find the common denominator of (6 + -9)/(150/(-355)) and a.
40
Suppose y + 599 - 607 = 0. What is the common denominator of 17/44 and (y/(-4))/12 + (-210)/(-54)?
396
Find the common denominator of -59/4230 and (-906)/144 + (1/(-3) - (-5 + 4)).
16920
Calculate the common denominator of 97/78 and 9/(-10) - 230/138.
390
Suppose 3*h + 242 = 3*w + 143, -5*w + 138 = 4*h. Calculate the smallest common multiple of 30 and w.
30
Let z = 173/5 + -659/15. Calculate the common denominator of 29/1538 and z.
4614
Let g(r) = r**2 - 6*r - 11. Let b be g(8). Suppose -b*o - 158 + 538 = -5*i, 0 = -3*o - 15. What is the common denominator of 174/i + -6 + 7 and 83/6?
54
Let r be ((-94917)/(-200772) - -3) + 7/(-28). Let d = r - 1/1859. Calculate the common denominator of -91/90 and d.
90
Let s(n) = -175*n - 3842. Calculate the lowest common multiple of s(-22) and 1029.
8232
Let m = 9233 + -8189. Calculate the smallest common multiple of m and 54.
3132
Let b(h) = 7*h - 10 - h**3 - h + 7*h - 3*h + 7*h**2. Let c be b(8). Suppose -c = -3*m - z, -3*m - z + 12 = 2*m. What is the lowest common multiple of m and 1?
3
Calculate the least common multiple of 208 and (-1092)/(-9)*(-108)/(-144).
1456
Let a = 194 - 210. What is the lowest common multiple of 80 and (-21)/(-2) + a/32?
80
Let c = 964051/360 - 13398/5. Find the common denominator of c and 107/(-315) + (-49)/245.
504
Let q(y) = -6*y + 77. Let k be q(-25). Let b = 235 - k. Suppose -4*z + 42 = 4*d - 30, -d + 22 = 2*z. Calculate the smallest common multiple of b and d.
56
Suppose -4*y = -x - 49, -x + 0*x = 5. Suppose -4*g + 0 = 4. What is the least common multiple of y and g/(6 + 222/(-36))?
66
Let f = 9 - 41. Find the common denominator of (-2)/(-27) + (-629)/(-378) + (-90)/(-108) and f.
7
Let o = 73 - 65. Suppose -q + o = -k - 0, 0 = -2*q + 5*k + 16. Calculate the least common multiple of (0/2 - 1) + 17 and q.
16
Let v = -9/202 - -5224/505. Let q be (6/(-21))/(1602/32409). Let h = 44/89 + q. What is the common denominator of h and v?
70
Suppose 3*k = -11*b + 8*b + 27, -12 = -2*k - 4*b. Let s = 58 + -91. Let j = s + 53. Calculate the least common multiple of j and k.
60
What is the common denominator of 79/12 and (3/16)/((-14)/(109928/1521))?
156
Suppose 0 = 37*n - 24 - 87. Suppose -n*x = 4*s - 82, 48*x - s = 43*x + 106. Calculate the least common multiple of x and 2/3 + (-4)/(-3).
22
Let q = -4390/5831 - -36555629/84112175. Let h = -1/577 + q. What is the common denominator of h and 63/65?
325
Suppose -5*y + 119 = -4*z - 2233, -z + y = 588. Let g = z - -636. Calculate the lowest common multiple of 24 and g.
48
Let y(p) = p**2 + 10*p**2 - 13*p**2 + 2 - 14*p. Suppose 64 = 7*o - 244. What is the lowest common multiple of o and y(-6)?
308
Suppose -4*s - 4 = 0, 11*s - 13*s + 43 = 5*v. What is the lowest common multiple of 282 and v?
846
Let q = 3378 - 33827/10. Let y = -2761/2370 - -52/395. What is the common denominator of q and y?
30
Let v = 1366609/70 - 19524. What is the common denominator of v and 5 + (-737)/385 + 3/(-2)?
70
Let s be (-1 - (2 + -1)) + 4. Suppose -3*t = -s*t - 8. Suppose -3*b + 83 = 4*o, -868*o + 2*b - 12 = -869*o. What is the least common multiple of o and t?
104
Suppose 36558 = -22*k + 4*k. Let n = k - -10198/5. Calculate the common denominator of n and 109/20.
20
Let z be (1 - -1)/(-2) - -3. Suppose z*s - 22 = -m, -5*s = -2*m + 27 + 44. What is the common denominator of 16/m + (-572)/(-126) and -20?
9
Let n = 79 - 77. Suppose -n*i - 68 = 7*a - 2*a, -4 = i. What is the least common multiple of (2/15*5)/(-1)*a and 22?
88
Let t(d) = d**3 + 6*d**2 - 11*d + 1. Let a be t(-7). Let m = a + -15. Suppose 3*r - 4*r = -8. Calculate the lowest common multiple of m and r.
56
Let r(a) = -a**3 + 7*a + 5. Let d be r(-2). Calculate the lowest common multiple of -74*(0 - d)/(-1) and 1 + (14 - (1 + 0)).
518
Suppose c = -5*w + 32 - 1, c + 2*w - 43 = 0. Let t be -4 + 3/9*321. Let p = t - c. What is the lowest common multiple of p and 16?
208
Suppose 0 = 3*p + 3, 3*p - 46596 = 3*f - 0*f. Let x = f + 465941/30. Find the common denominator of -92/45 and x.
90
Let l(z) = z**3 + 15*z**2 - 33*z + 12. Let n be l(-17). Calculate the common denominator of 4/(-6)*(-5)/(-56) and (-258)/54 + 2 - n.
252
Suppose 47*t - 13*t - 2142 = 0. What is the lowest common multiple of 45 and t?
315
Suppose 3 = -9*j + 3. Let x be (j + -4)/2 + 89/15. Let r = -731/60 + x. Calculate the common denominator of -49/20 and r.
20
Let b = 44 - 24. Suppose -8*h - b = -13*h. Calculate the common denominator of h/(-14) + (-4 - (-544)/189) and 151/18.
54
Let q = 20982 - 20166. What is the least common multiple of 306 and q?
2448
Let s be (13 +