st common multiple of 24 and (-1 - -34) + v + (b - -2)?
96
Let q = -351 + 352. Suppose 0 = -m + u - q, -10 = 12*m - 10*m - 4*u. What is the least common multiple of 42 and m?
42
Suppose -70 = 4*l + 138. Let v = l + 70. What is the smallest common multiple of v and 290?
2610
Suppose -4*k + 356 + 2340 = -4*s, 5*s + 5*k + 3420 = 0. What is the common denominator of 58/(-609)*s/48 and -143/24?
72
Suppose -4*q - 4*m + 94 = -3*q, 3*m = 5*q - 355. Let j = 5515 + -5497. What is the lowest common multiple of j and q?
666
Let a = -43 + 46. Suppose 0*o + 4*o + 32 = a*c, -c = 3*o + 11. Suppose -3*n = -5*w - 29, 35 = c*n - 4*w + w. What is the lowest common multiple of 2 and n?
8
Let t = 20873/6 - 3472. Find the common denominator of t and -47/830.
2490
Suppose 5*w - 4*v = 167, 186*w - 184*w - 5*v - 60 = 0. What is the smallest common multiple of 322 and w?
1610
Let c(j) = 9*j**2 - 1155*j + 756. Calculate the least common multiple of 22 and c(130).
2706
Let h = 2449581/44 - 55670. Calculate the common denominator of h and 125/7188.
79068
Suppose -5*q + 9 = -2*q - 4*i, -15 = -5*q - 5*i. Let w = 5 + q. Suppose 2365*m = 2704*m - 6780. Calculate the least common multiple of w and m.
40
Let n = -319656841/972 + 328865. Calculate the common denominator of 29/1134 and n.
6804
Let d be (1213/193)/(7 - (-6270)/36). Let j = d + 18499976906/2256302205. Let f = -14/1195 + j. Calculate the common denominator of -65/18 and f.
18
Let n = 80 - 35. Suppose -2*j = -n - 13. Let c = 11 + j. What is the smallest common multiple of c and 40?
40
Let i be ((-5)/(30/(-12)))/326799. Let d = 4393679/7843176 - i. Find the common denominator of d and 119/72.
216
Let x = -7 + 14. Let k be 0 - ((-6370)/(-138))/x. Let g = -8/207 - k. What is the common denominator of g and -53/4?
36
Let s be (-90)/2 + (43 - 36). What is the common denominator of -81/22 and (-7608)/10032 + 4/s?
22
Let b(c) = 2*c**2 - 4*c - 4. Let m be b(3). Find the common denominator of (-1758)/(-380) + 2 + -4 - m and -81/20.
380
Let m be (-3174186)/(-9600990) - ((-57)/21 + 3). Let f = m - 3534948203/4321817070. Let c = f + 5/411. What is the common denominator of c and 107/18?
414
Suppose 3*f + 2*f = g - 23, 2 = 2*f. Suppose -5*x - 5 = 0, 2*y - x - x - 18 = 0. Let c(d) = -23*d + 212. Calculate the lowest common multiple of g and c(y).
28
Let m(d) = d**2 + 4*d + 4. Calculate the least common multiple of (-20)/((-600)/306) - 7/35 and m(-6).
80
Let x(k) = -2*k + 204. Let r be x(30). Suppose u + u = 44. What is the smallest common multiple of u and (11/(-3) - -4)/(4/r)?
132
Suppose -38*o = -9*o. Suppose 23*m - 34 - 81 = o. What is the lowest common multiple of 40 and m?
40
Suppose -15*d - 11568 = -21*d. Let u = -2733 + d. Calculate the common denominator of 1/3 - u/168 and -33/4.
8
Let l(y) = -31*y + 162. What is the lowest common multiple of l(5) and 42?
42
Suppose 77*o + 184 = 123*o. What is the lowest common multiple of 1073 and o?
4292
Let a(c) = c**3 + 25*c**2 + 17*c - 124. Let j be a(-24). Suppose 0 = 19*g - 23*g + j. What is the least common multiple of 1 and g?
11
Suppose -44*r - 28 = -48*r. Let i be 2 - (-49 + (-7)/(r/(-3))). Find the common denominator of -4 - 56/(-12) - 2/i and -97/6.
24
Let u(p) = 3*p. Suppose 6 = -3*t + 6*t + 2*f, 5*t - 10 = 3*f. Suppose -t*z = 3*r + r - 6, 0 = r - z - 6. What is the smallest common multiple of u(5) and r?
15
Let u = -113363/98670 + 303/253. Calculate the common denominator of u and -47/273.
2730
Let j(h) = 2*h**2 - 146*h + 299. What is the lowest common multiple of j(71) and 7866?
39330
Suppose -i = -1021 - 518. What is the least common multiple of i and 190?
15390
Calculate the lowest common multiple of 3042 + 8 + 5 - 0 and 9.
27495
Calculate the common denominator of (-8055)/1932 - 120/(-30) and 31/69.
1932
Let m = -39/184 + -197/644. What is the common denominator of 117/56 and m?
56
Let n be (-4)/(-5)*(-146500)/(-400). Let q = n - 253. Calculate the least common multiple of 25 and q.
200
Suppose 4*n - 3*n = u - 17, 19 = 2*u + n. Let j = u - 7. Let r(h) = -2*h - 8. What is the lowest common multiple of j and r(-6)?
20
Let m = 234470/137 + -226497261/132479. Let i = m + 11269159/29010. Let v = i + -1207/3. Find the common denominator of v and -73/4.
20
Suppose -116 + 152 = 6*j. Calculate the smallest common multiple of j and 79.
474
Let y be 4*1 - 63/(-9). Let g(o) = -5*o + y + 14 - 8 + 16. Calculate the lowest common multiple of 7 and g(6).
21
Let v = -3220271/33458932 + -8/243633. Calculate the common denominator of 115/96 and v.
9888
Let v = -2218527325/1626 - -1364408. Calculate the common denominator of -65/2439 and v.
4878
Let z = 12 + -2. Let h(v) = 3*v**2 - v - 4. Let g be h(-2). Suppose -5 - g = -3*i, 3*r - 31 = -5*i. What is the lowest common multiple of r and z?
10
Suppose -5*r - 51 = -3*t, -9*r + 12 = 2*t - 5*r. Let x be (-4)/((-12)/(-45)) + (-24)/t. What is the smallest common multiple of 9 and -1 - (x + -3) - 5?
126
Let o = -68/149 + -9517/2980. Calculate the common denominator of -63/692 and o.
3460
Let s = -316 + 321. Suppose 0 = -s*o - 3*m - 56 + 200, -5*m - 39 = -2*o. What is the least common multiple of 9 and o?
27
Let s(t) = 12*t. Let u(y) = -4*y. Let c(m) = 3*s(m) + 10*u(m). Suppose 5*l + 64*l - 212 = 64. What is the smallest common multiple of c(-5) and l?
20
Let c = 41 - 2. Let t = -37 + c. Find the common denominator of (-2)/(-10) + (-1564)/320 + t and 81/22.
176
Find the common denominator of 133/330 and (-11)/(-33)*510/(-345).
7590
Calculate the smallest common multiple of 36/(-16)*(49 + -61) and 12.
108
Let k = -2461/3918 + -2/25467. Find the common denominator of 47/234 and k.
234
Let f = -15976 - -15750. Let p = -3 - -8. Find the common denominator of 14/5 and f/28 + 2*p/10.
70
Calculate the common denominator of (2079/(-21))/(-9) + (-1585)/180 and (-1)/(24/154) - 0.
36
Let r(c) = -151*c - 6. Let n be r(-6). Suppose -6*f + 5 = 11. Calculate the common denominator of f + 1 - n/24 and 26/11.
22
Let u(j) = j**2 - 6*j + 7. Let m be u(5). Find the common denominator of (132/(-40))/((-3)/11) and ((-9)/(-432))/(m/(-87)) + 1.
160
Let a(t) = 263*t**3 + 2*t**2 - 2*t + 1. Let v be a(1). Calculate the common denominator of 6/v*246 - 4 and -9/2.
22
Suppose 167 = 4*p - 5*t, -25 + 0 = -5*t. Calculate the common denominator of -43/14 and 18/p + 412/(-288).
126
Let t(j) = -j**2 + 6*j - 4. Let u(d) = 2*d**2 + 1393*d + 2782. Calculate the lowest common multiple of t(4) and u(-2).
4
Let g(s) = -2*s**2 - 7*s + 7. Let a be g(-4). Let w be -3 - (8/(-12) + (-61)/a). Suppose 0 = -b + 3*b - w. What is the least common multiple of 3 and b?
9
Let v(j) = -j**3 + 27*j**2 + 4*j - 106. Calculate the lowest common multiple of 322 and v(27).
322
What is the common denominator of (3 - 1) + 2/((-80860)/81991) and 99/10?
3110
Let a be (-37)/(-20283252)*(-3663474)/14. Let i = a - -2/29071. What is the common denominator of i and -79/20?
220
Let n = 19640 + -19632. What is the least common multiple of n and 7050?
28200
Suppose -3*v + 2 = -10. Let c = 90 + -83. What is the least common multiple of v and c?
28
Suppose -84*j = -80*j - 4. Suppose -4*f = 3*k - 1809, 8*k = 7*k - 4*f + 595. What is the smallest common multiple of j and k?
607
Suppose -4*z = -z + 30. Let t(i) = i - 4. Let h be t(5). Let f = h - z. What is the lowest common multiple of 26 and f?
286
Suppose -4*d = -q - 6*d + 2, -3*d + 3 = 4*q. Let h = 8709/4585 + 1/1834. Calculate the common denominator of h and 6/(-3) + q - 309/54.
90
Suppose 14 = -4*j + 2. What is the common denominator of (-4652)/(-4224)*-3 - j and -113/14?
2464
Suppose 87*n + 121220 = 296*n. Calculate the lowest common multiple of n and 10.
580
Let w = 1487/330 + -246/55. What is the common denominator of -63/608 and w?
9120
Let d be -3 - -3 - (-502)/8. Let w = 653/12 - d. Find the common denominator of w and -57/8.
24
Suppose 2*k - n - 95 = 0, -n - 43 - 2 = -k. Let f = 12396 + -12336. Calculate the least common multiple of k and f.
300
Find the common denominator of -7/8 and (12 + 57945/(-4830))*34/(-3).
3864
Let a be (-270)/(-25) + -10 + 9092/10. Let x = a - 14489/16. Calculate the common denominator of -93/148 and x.
592
Calculate the common denominator of 1/4 - (-214)/264 and (296/7548 - ((-620)/(-204) + 0)) + 1382/426.
2343
Let l be (-13 - -9) + 