0
Let d be 5 + -17 + (4 - -1). Let y = d - -1. Calculate the common denominator of (39/(-40))/(y/56) and -89/38.
190
What is the common denominator of -61/45 and (-36)/24 - ((-26)/(-65) + 5923/(-3090))?
4635
Let n = 4597/548 + 99/274. Find the common denominator of n and (3/(12/67))/5.
20
Let s = -14461/2 + 7211. What is the common denominator of -79/43304 and s?
43304
Let l(v) = -21*v**2 - 3*v - 11. Let z(t) = 32*t**2 + 5*t + 16. Let u(i) = -8*l(i) - 5*z(i). Calculate the lowest common multiple of 120 and u(4).
1320
Suppose 0 = 4*r - 3*o + 844, -5*o - 844 = 31*r - 27*r. Let a = r - -229. Calculate the lowest common multiple of a and 170.
1530
Let l be (-6)/(8 - (-244)/(-30)). Suppose -l*s + 720 = -30*s. Let x(t) = t**2 + 5*t - 6. Calculate the lowest common multiple of x(-7) and s.
48
Let s = 2/4085 - 216553/98040. Let m = 3199 + -79838/25. Let r = -281/75 + m. Find the common denominator of r and s.
120
Let o = -224021809679/6154 + 5294811083219215001/145451316192. Let l = 5/321568 + o. Let j = 8/49 - l. Calculate the common denominator of 37/3 and j.
24
Let a(q) = -619*q**3 + 4*q - 3. Let y be a(1). Let c be y/(-170) - 0 - (3 + -7). Let h = c - -43/34. Find the common denominator of h and 1/4.
20
Let t be (-2015)/(-799) - (-6)/(-51). Let v = 1/235 - t. Calculate the common denominator of v and 43/55.
55
Suppose 0 = -4*d - 2*p + 122, -3*d + 5*p + 104 = 9*p. Let a(u) = -u**2 + 11*u - 3. Calculate the smallest common multiple of a(10) and d.
28
Suppose 43*h = 39*h + 1728. What is the least common multiple of 10/(-70) - (-142)/14 and h?
2160
Calculate the common denominator of -88/45 and 20 + 11048704/(-553680) - (-2)/(-45).
34605
Let c = -9167/3006 - 1/167. Let d(m) = m**3 + 15*m**2 + 15*m + 1. Let p be d(-13). Find the common denominator of c and (-2)/(-8) - 513/p.
144
Let c(m) = m**2 - 6*m - 56. Let j be c(-13). Suppose -5*t + j = 4*w, 5*w - 260 = -8*t + 6*t. Calculate the lowest common multiple of w and 66.
594
Let u = 2841229/66 - 43050. What is the common denominator of u and -5/77?
462
Suppose -11*s = -85 + 30. Suppose s*b - 5*f = 17215, 2*b + 3451 = 3*b + 3*f. Let i = 75897/22 - b. Find the common denominator of i and 81/28.
308
Suppose 6*p + 4 = 10*p. Let h be ((-3303)/(-3309) - p)/(-2). Let k = 45229/6618 - h. What is the common denominator of -145/6 and k?
6
Let b(a) = 3*a**2. Let t be b(-1). Suppose -4*k + 4*z = t*z + 8, 5*z = -3*k + 17. Calculate the common denominator of 99/4 and 10*k/28*13/10.
28
Suppose -6*m + 72 = -2*m. Suppose -15*r + 60 = -25*r. What is the smallest common multiple of (-1 + 21)*(-9)/r and m?
90
Calculate the smallest common multiple of 780 and 102 - -20 - 36/2.
1560
Let z(g) = -g**2 - 40*g + 80. Let t be z(-42). What is the common denominator of (-116)/(-8) + (0 - 0) and (508/(-144) - t)/(1/(-10))?
18
Let a be 23548/735 - (-8)/(-14). Let c = a + -2419/80. What is the common denominator of c and -95/48?
48
Let q = 75 + -35. Let n = -20740 - -20796. Calculate the smallest common multiple of q and n.
280
Suppose -71*y + 939 = 3*y - 4389. Suppose -4*j + 484 = n + 3*n, 0 = -5*n + 5. Calculate the least common multiple of y and j.
360
Let t(w) = -5*w**3 + w**2 - 11. Let u be t(-3). Calculate the smallest common multiple of (76/u)/((-4)/(-70)) and 126.
630
Let o = 26300 + -1183606/45. Let j = -19/5 - o. Find the common denominator of j and ((-2)/36)/((-87)/12354).
9
Let c = -843 - -2355. Let w be (c/(-32))/(3/(-480)). Let f = w + -302363/40. Find the common denominator of f and 63/20.
40
Let m = -7483 + 9135. What is the least common multiple of m and 4720?
33040
Let p = -738772 + 609486806/825. Find the common denominator of p and 7/9.
2475
Let k = -8759/744072 + -8/903. Calculate the common denominator of k and 1 - (138/(-16) + -3).
824
Let o = 210 + -206. Suppose o*u + 4*k = 8, -5*u + 2*u + 6 = k. What is the lowest common multiple of 3 and u?
6
Suppose n = -3*n + 48. Suppose -34*v + 30*v = -4*z + 4, 2*v = 3*z - 11. What is the lowest common multiple of n and z?
36
Let k = 5/45647 + -5801849/42725592. What is the common denominator of k and 101/416?
3744
Suppose -3*z - 48 = 11*i - 13*i, -2*z = -2*i + 32. Let l be 224/12*(-3)/2. Let a = z - l. Calculate the smallest common multiple of 20 and a.
60
Let q be 893085/10800 + 6/(-1). Let g = q - 1369/18. What is the common denominator of g and 59/84?
1680
Let n(y) = -7*y**2 - 1 - 10*y + 24*y**3 - 55*y**3 + 30*y**3. Let r be n(-4). Let d = r + 21. What is the least common multiple of 7 and d?
84
Suppose -5*i - 2*s + 2639 = 419, 0 = 2*i + 3*s - 877. Let f = i - 810. Find the common denominator of -151/30 and f/(-6)*9/90.
30
Suppose -32*z - 480 = -40*z. Suppose -46*g + 47*g = z. Calculate the smallest common multiple of 54 and g.
540
Let h be ((-49147)/5796 - -13) + 2*2. Let f = h - 180/23. What is the common denominator of -31/9 and f?
36
Suppose -4*l - 1 = 10*d - 7*d, d = 4*l - 11. Suppose -3*w - 2*g = -0*g - 658, -3*w - 4*g = -668. What is the least common multiple of l and w?
216
Suppose -r = -3*y + 6564 + 1560, -2*r - 4*y - 16218 = 0. Let h = r + 72949/9. Let b = h + 8971/936. What is the common denominator of -71/10 and b?
520
Suppose -13*w + 1392 = 300. Suppose -3024 = -w*r + 66*r. Calculate the lowest common multiple of 88 and r.
1848
Let k = 120607 - 1809163/15. Calculate the common denominator of k and ((-2)/(-10))/((-18)/(-415)).
90
Let f = -61 + 59. Let n(u) = -u**2 + 13*u - 15. What is the smallest common multiple of n(10) and 7/2 + (-2)/(8/f)?
60
Let g = -22 + 28. Suppose 0 = -24*m + 291 - 51. Calculate the smallest common multiple of g and m.
30
Let n = 833315/414018 + -2212/1107. Calculate the common denominator of n and -125/1386.
23562
Suppose 4*d - 8 = -28. Suppose -303 = -4*j + 25. What is the common denominator of -69/8 and j/4 - d/((-20)/(-12))?
8
Suppose -2*t + 4148 = 3*v, 4*v + 5*t = 8*v - 5500. Let f = -2/32089 - 1251439/513424. Find the common denominator of f and (2 + 0)*(-665)/v.
1104
Let d = -190 + 235. Calculate the common denominator of (3/d)/((-4)/(-324)) and 131/6.
30
Let f = 22508 + -16966. What is the least common multiple of f and 2?
5542
Let h = -530/9 - -859/18. Find the common denominator of h and 23/33.
66
Let o = -76401/2395 + 159/5. Calculate the common denominator of o and -61/3.
1437
Let a(m) = -2*m**2 + 13*m + 7. Let i be a(7). Calculate the common denominator of 101/4 and ((-12)/90 - i)*(-291)/(-4).
20
Let t = 1523191569281/15 - 298076404611206507/2935380. Let h = 2/48923 - t. Calculate the common denominator of h and (-578)/(-240) - 6/(-48).
60
Let h = 4377 + -3693. Calculate the least common multiple of 12 and h.
684
Let y(w) = -w**3 + 14*w**2 + 18*w - 3. Let c be y(15). Let b = 57 - c. Calculate the least common multiple of b and 11.
165
Let t = -1755419037/112424 - -639409/611. Let v = t + 14568. Find the common denominator of v and 27/2.
184
Let y be 10/2 - 5*-33. Let n = -158 + y. What is the least common multiple of 148 and n?
444
Let q = -2574433/72 - -35754. Calculate the common denominator of 39/340 and q.
6120
Let s = -15329617/20 - -9800155/4. Let i = s + -1686907. Let d = i - -3337. Find the common denominator of 49/20 and d.
20
Let t = -83817 - -319845661/3816. Calculate the common denominator of t and -119/4240.
38160
Let u = -27031073/431 - -62717. Find the common denominator of u and 4/9.
3879
Calculate the common denominator of 21/220 and 108064/(-26620) + 1 + (2 - -1).
2420
Suppose 7*p + 17 = 45. Suppose 4*i - 43 = -4*d + 5*i, -d - 2*i = -22. What is the lowest common multiple of d and p?
12
Suppose 4*n + 5*a + 61 = -0*a, 4*a = -4*n - 56. Suppose 3*d = 5 - 2. Let i = d - n. Calculate the lowest common multiple of i and 12.
60
Let p(l) = 354*l + 5988. What is the smallest common multiple of 2772 and p(-13)?
2772
Let w(h) = 376*h + 3017. What is the lowest common multiple of w(-8) and 189?
189
Let p = 237 - 162. Suppose 25*c + p = 20*c. Calculate the common denominator of -34/109 and 7/(-4) + (180/(-8))/c.
436
Let i = 14419/580 - 124/5. What is the common denominator of i and -25/348?
348
Find the common denominator of -64/2187 and (-17089891)/1139670 - -5*3.
21870
What is the common denominator of -19/1584 and (399/945)/((-384)/(-60))?
3168
Let n(r) = 5*r**2 - 44*r + 79. Calculate the least common multip