ate the common denominator of -57/8 and (-531)/(-84) - 3/6*8.
56
Let r = 2433 + -12207/5. Calculate the common denominator of 2/3 - 598/60 and r.
10
Let c(q) = 8*q + 411. What is the lowest common multiple of 10 and c(-51)?
30
Let c be (32/(-3))/((-11)/33). Suppose -2*z - 2*z = -4*m + c, 3*m + 2*z = 4. Find the common denominator of m + (576/15)/(-3) and 1.
5
Suppose -17*o + 126 = 58. Calculate the least common multiple of o and 20.
20
Suppose 2*r = 4 + 2. What is the common denominator of (r - (-365)/(-30)) + 1/(-3) and 67/6?
6
Find the common denominator of -57/44 and 1*(-5 + 3) + (-111)/(-114).
836
Calculate the common denominator of -97/105 and 6 + (0 - (-1089)/(-54)).
210
Find the common denominator of (-29754)/(-10692) - 7/2 and -46/45.
495
Let p = 47 - 20. What is the least common multiple of (-9)/(p/366)*-1 and 16?
976
Let z(i) = 4*i**3 - 2*i**2 + 5*i - 4. Calculate the least common multiple of z(2) and 27.
270
Suppose 5*h - 24 = h. Let j(m) = 4*m - 8. Suppose 2 = -32*t + 386. Calculate the least common multiple of t and j(h).
48
Let g = 2776/19 + -4177823/28595. Let l = g - -130923/6020. What is the common denominator of l and -30?
4
Let m = 34339/19737 + 2/2193. Let o(s) = -2*s + 17. Let q be o(11). Calculate the common denominator of q + 1 - (-2507)/46 and m.
54
Let m(i) = -i**3 - 3*i**2 - 2*i. Let v be m(-1). What is the lowest common multiple of (1 - v)*(-5)/(-1) and 3?
15
Let t be ((-2)/52)/(2266/24). Let u = t - -1576147/353496. What is the common denominator of u and -43/12?
24
Let x = -10 + 10. Suppose 0 = 2*t - 54 + 14. What is the lowest common multiple of t and x + 2 - (1 - 3)?
20
Suppose 2*a + 8*y - 13 = 3*y, 4*a = -5*y + 11. Let c = -2649214562 - -13240774272589/4998. Let u = c + -1/1666. What is the common denominator of u and a?
3
Let a(k) = -k**2 + 10*k - 10. Let r be a(6). Suppose -9*p = -2*p + r. Calculate the common denominator of (-65)/(-140)*-13 - p and 59/12.
84
Calculate the common denominator of 62/(-4) + -9*26/(-117) and -83/82.
82
Suppose -2*m + 9*m = 21. Suppose 3*a = 2*q + m*q - 31, -3*a - 23 = -4*q. What is the lowest common multiple of 8 and q?
8
Let p = 194753/28 + -6954. What is the common denominator of p and 20/21?
84
Let v = -10 - -18. Suppose v*n - 51 = 45. What is the least common multiple of n and 26?
156
Let k be 604/24 + (22/12 - 2). Suppose -4*o + 15 = -k. Calculate the lowest common multiple of o and 6.
30
Let h = -416989 - -7013337993/16819. Let r be ((-1950968)/41283)/((-22)/3) - 0. Let f = h + r. What is the common denominator of 4/5 and f?
45
Let a(n) be the first derivative of n**4/4 + 8*n**3/3 + 11*n**2/2 + 4*n + 8. Suppose 0 = -2*v + 4*v - 40. What is the smallest common multiple of v and a(-6)?
20
Let v = 22 - 14. Suppose 47*z = -3323 + 3793. What is the least common multiple of z and v?
40
Let y = -125/1034 - -42/47. Let h = -58 + 62. Calculate the common denominator of y and 31 - 4 - (-2)/h.
22
Suppose 28 = h + 4*z, -h - 15 = -6*h + 5*z. Suppose 13*i = 11*i - d + 28, -4*d = -h. What is the smallest common multiple of 8 and i?
104
Let v = -1451 - 2102. Let p = v + 21263/6. Calculate the common denominator of -53/14 and p.
42
Let y = -17149 + 240183/14. What is the common denominator of y and -91/316?
2212
Let h = 127 - 259. What is the common denominator of 244/36 - 2/(-3) and (h/(-64))/(6/(-8))?
36
Suppose -3*t - 124 = t. Let y = t - -33. Calculate the least common multiple of y and 4.
4
Let f = -87 - -175. Let j = -146 + f. Calculate the common denominator of 51/16 and 7/(-6)*j/14.
48
Let l = -4 + 4. Let s be 16 - (2 + -3 - l). Let h = 19 - s. What is the least common multiple of 8 and h?
8
Suppose 2*a = 6*a - 80. Let l = 513 + -506. What is the least common multiple of l and a?
140
Suppose -4*u + 10 = 14, -u - 22 = -3*c. What is the smallest common multiple of c and 9?
63
Let h = 690 - 545. Let o = -7 + 8. Calculate the lowest common multiple of h and o.
145
Suppose -2*y = -2*k + 24, -15*y + 10*y + 10 = 5*k. Let p be (-3)/(-1 - 2)*1. Calculate the least common multiple of k and 2 + p + 1/1.
28
Suppose 6*z + 115 = z. Let a(i) = -i**2 - 5*i + 4. Let y be a(-3). Calculate the common denominator of z and (-285)/y + (-1 - -5).
2
Let k(s) = s**2 - s + 2. Suppose y + 12 = 3*y. Suppose 0 = 2*d + y*h - 5*h + 4, 0 = -4*h. What is the lowest common multiple of 8 and k(d)?
8
Let d(r) = 4*r**2 - r. Let a be d(-1). Suppose 0*t + a*t = 30. Let x(z) = 65*z - 452. What is the least common multiple of x(7) and t?
6
Let c(m) = 2*m**2 - 23*m - 5. Let w be c(16). Calculate the common denominator of -10/9 and ((-9)/((-324)/8))/(4/w).
18
Let t be (-4 - -2)*(0 + 1). What is the common denominator of t - (-14)/(-20)*2 and (-17)/(-33*3/(-18))?
55
Suppose 150 = -30*i + 45*i. Calculate the least common multiple of i and 4.
20
Suppose 0 = -112*i + 86*i + 520. Calculate the lowest common multiple of i and 24.
120
Let f = -13820 + 400742/29. Find the common denominator of f and 16826/1074 + (1 - 1).
87
Let t be (30/24)/((-2)/(-24)). Let n be 1*-1 + t/(-5). Find the common denominator of (-1235)/240 + n/24 and 101/8.
16
Let n(c) = -20*c - 86. Calculate the smallest common multiple of n(-5) and 7.
14
Let f = 637907/32266 + -1450/73. What is the common denominator of f and 97/10?
2210
Let s(j) = j**3 + 9*j**2 - 12*j - 9. Let m(t) = -t**2 + 8*t + 4. Calculate the least common multiple of m(7) and s(-10).
11
Suppose 180*a - 4264 = 139*a. Calculate the smallest common multiple of a and 65.
520
Suppose 2*m - 1 = 4*g + m, 2 = -5*g + 2*m. Calculate the common denominator of -17/7 and (g - (-9)/(-42))/(1/(-18)).
7
Let d(w) = w**2 - 24*w - 46. What is the lowest common multiple of 70 and d(27)?
70
Suppose -2*l - 2 = -4. Let y(p) = -p**3 + 5*p**2 - 4*p - 6. Let g be y(5). Find the common denominator of -55/9 and g/6*l/(-1).
9
Let p = -57 + -5. Let w be 1235/(-52) - 2/8. Calculate the common denominator of w/(-6) + p/9 and 1.
9
Suppose 5*n - 1053 - 32 = 0. Suppose 4*k - 5*p = 285 - 19, -3*k + n = 5*p. Suppose -5*w = -k + 14. Calculate the least common multiple of 8 and w.
88
Let d(x) = -x**3 - 3*x**2 + 29*x + 57. What is the least common multiple of 4 and d(-7)?
100
Let m = 27 - 32. Calculate the least common multiple of 2/m - ((-587)/5 + -1) and 12.
708
Let y = 403 - 894. Let h = -1327/18 + 1082/9. Find the common denominator of y/(-10) - 4/(-10) and h.
2
Suppose 3*o + 5*z - 705 = 0, o - 4*o + 3*z + 729 = 0. What is the lowest common multiple of 100 and o?
1200
Let s = -215378 - -40060403/186. What is the common denominator of s and 19/2?
186
Let h be ((-1)/(-6))/((-13)/(-78)). Calculate the common denominator of 57/8 and -1 + h + 39/(-123).
328
Let a = -25/39328 + 691937057/353952. Let w = a - 1959. Find the common denominator of 16/33 and w.
99
Let n(q) = q**3 - 9*q**2 - 13*q + 12. Let r be n(10). Let y = -7/314 + -8401/3454. What is the common denominator of y and 265/(-5)*(-3)/r?
66
Suppose -3*f + 7*f = -132. Let v = 161/30 + -26/5. What is the common denominator of v and (-1)/1*(-12)/f?
66
Suppose 0 = -3*g - 4*j + 54, 3*j = 2*g - 8 - 28. Suppose -67*z + 64*z + g = 0. Calculate the lowest common multiple of z and 2.
6
Let b be (-24115)/264 + 2/6. Let u = -10107 + 81611/8. Let k = u + b. What is the common denominator of k and 36/7?
77
Calculate the common denominator of 5/168 and 6/(-315)*-5*845/(-208).
168
Let c = -130 - -194. Let y = c - 1157/18. What is the common denominator of y and 81/20?
180
Let w = -10 - -21/2. Let l = -39 + 29. What is the common denominator of l/55*49/4 and w?
22
Let n be (-685)/(-7) - (91/49 - 2). Let a = 102 - n. Calculate the lowest common multiple of a and 8.
8
Calculate the smallest common multiple of 3/((-46)/(-40) - 1) and -4 + 22 - (-1 + 0 + 3).
80
Let b = -971 + 5857/6. Let s be 0/(3/(-1)*1). What is the common denominator of 83/8 + (2 - s) and b?
24
Suppose 0 = 4*t - 208 + 528. What is the common denominator of 9/10 and (-8)/20 + (-772)/t?
20
Let v = 11 + 81. What is the common denominator of -45/46 and (4/(-16))/(10/v)?
230
Let k(h) = 2*h**2 + 12*h + 5. Suppose -5*p = -2*q + 27, -2*q + 43 = 2*q + p. Let i = q + -17. Calculate the lowest common multiple of 5 and k(i).
5
What is the lowest common multiple of (-52 + 7)/((-2)/2) and 15?
45
Suppose 12*m = 9*m. Let j(t) = -20*t + 3 +