 2*u, 0 = -4*d - 5*u + 111. Suppose 0 = 3*n + 2*q - 67, -2*n = -4*q - 279 + 245. What is the smallest common multiple of d and n?
168
Calculate the common denominator of -53/12 and (1 + 85)*3/(-432).
72
Let w be ((-28)/(-49))/(4/14). Let l(h) = h**2 - 8*h + 5. Let j be l(8). Suppose 5 = z + w*k, j*k - 1 = -2*z + 6. What is the lowest common multiple of 5 and z?
55
Let x be 259265/225 - 3/(-5). Let c be 2 + 2 + (-13978)/12. Let j = x + c. Calculate the common denominator of j and -13/12.
36
Let l = -87 + 156. Suppose 10*u = 1 + l. What is the lowest common multiple of 10 and u?
70
Let y be (-196)/6 + -6*(-6)/(-27). Find the common denominator of 30 and y/6*600/320.
8
Let p(b) = -b**2 + 10*b - 13. Let z be p(8). Suppose 5*u + z*r - 75 = 0, -24 + 84 = 4*u + 4*r. What is the smallest common multiple of u and 40?
120
Suppose -3*t - 4*d + 11826 = 0, 15787 = 4*t - 4*d + 3*d. Let z = t + -2205818/559. Let y = -45359/11180 - z. What is the common denominator of -35/2 and y?
20
Find the common denominator of 10/(-50) + ((-1677)/(-70))/3 and ((-46)/(-3))/(240/(-54)).
140
Let d be (1 + -2)*2163/(-518). Let v = d - 10583/1480. Find the common denominator of 81/28 and v.
280
Suppose 0 = 2*x - 6*x + 48. Calculate the least common multiple of 6 and (2*(-1 + 0))/((-1)/x).
24
Let z be 8/(-14) - (-318)/42. Find the common denominator of -11/14 and 2/z + 4829/616.
56
Let u = -45191/18 + 2519. What is the common denominator of -91/44 and u?
396
Let m = 2 + 1. Suppose w + c - 26 = 18, -132 = -m*w + 4*c. What is the common denominator of w and -2 + (-85)/25 + 3?
5
Let f be 25/(-1840)*(-36066)/(-39). Let v = f + -18/299. What is the common denominator of -1 + ((-40)/(-7))/2 and v?
56
Let f = 2 + -32. Let i = -20 - f. Calculate the smallest common multiple of i and (-14 - -2)/(-3) - 0/(-10).
20
Calculate the common denominator of -43/36 and 2534/35*(-8)/192.
180
Let y(j) = -j**2 + 17*j + 21. Let k be y(18). Suppose 0*w = 3*w - 3*d - 42, 2*w = -k*d + 48. What is the least common multiple of w and -3*(0 + 2)*-1?
18
Calculate the common denominator of 91/66 and (-13)/((22/12)/((-2)/20)).
330
Let s = 248365/33 - 7527. Find the common denominator of -49/120 and s.
1320
Let t = -27 - -29. Suppose -x + 2*x - t = 0. What is the smallest common multiple of 14 and x?
14
Find the common denominator of 84/45 - 5/10 and 79/6.
30
Suppose 0 = 7*j - 103 + 61. What is the lowest common multiple of 89 and j?
534
Let v(j) = -j**3 - 2*j**2 + j - 5. Let r be v(-3). Let u be (r/((-20)/(-188)))/33. Let i = -3427/330 + u. Find the common denominator of i and -34/5.
10
Suppose 3*a - 290 = 4*v, 4*a - 5*v - 345 = -8*v. What is the smallest common multiple of 30 and a?
90
Let k be 63/4 - 3/(-12). Suppose -k*r + 4*r + 48 = 0. What is the smallest common multiple of 56 and r?
56
Let t(v) = -v**2 - 24*v - 60. What is the lowest common multiple of 8 and t(-21)?
24
Suppose 0 = -3*b - 0*b + 2*h + 4, -3*b - 3*h = 6. Suppose -22 = 4*f + 2*m, 3*m + 21 = -4*f + 2*f. What is the common denominator of f and (10/6)/(b - 55/75)?
11
What is the common denominator of (-1 + -75)*2/396 and 32/9?
99
Let i = -1897975/1499584 + 1/23431. What is the common denominator of 19/88 and i?
704
Let t = -985/22 - -1654/37. Find the common denominator of -59/6 and t.
2442
Let l = 7 + -2. Suppose -5*i - 25 = -l*k, -i - 1 + 6 = 0. Let s(b) = 2*b**2 - 13*b + 14. Calculate the smallest common multiple of s(6) and k.
40
Let s = 14317/12 + -1194. What is the common denominator of s and 91/6?
12
Let b = -634/259 + -371/222. What is the common denominator of b and (-4)/34 + 137900/19040?
168
Let s be ((-3)/6)/(6/104360*6). Let k = s - -1451. Find the common denominator of 52/21 and k.
63
Let i(y) be the third derivative of -y**4/2 - y**3/6 - 3*y**2. Let l be i(9). Find the common denominator of -1/14 and l/198 - (-2)/(-9).
154
Let i = 11147687/125 + -89181. What is the common denominator of 22/25 and i?
125
Let s(m) = m**2 + 8*m + 3. Let a be s(-7). Let o(v) be the first derivative of v**3/3 - v**2/2 + 5. What is the least common multiple of o(a) and 20?
20
Let b be 7/9 + -1 - 104299/(-469521). Let g = b + 878857/120390. What is the common denominator of g and -27/8?
40
Let r = 99 + -144. Calculate the common denominator of 16/(-4) + r/(-7) and -91/2.
14
Let g(p) = -p**2 + p + 54. What is the least common multiple of 99 and g(0)?
594
Let p(i) = 7*i**2 - 1. Calculate the smallest common multiple of 2 and p(2).
54
Let x = -13343/5864 + 3/7330. What is the common denominator of x and -46/3?
120
What is the common denominator of 36/120*(-106)/(-30) and 2/5?
50
Let u be 60/4*(-2)/3. What is the lowest common multiple of (-4)/(-1 - -3)*u and 30?
60
Let d(i) = i**3 + 6*i**2 + 19*i + 120. Calculate the lowest common multiple of 9 and d(-6).
18
Let w(a) = 3548*a - 3. Let l be w(2). Let f = l - 234035/33. What is the common denominator of -131/24 and f?
264
Let b(j) = -29*j**3 - 3*j**2 - 2*j. Calculate the least common multiple of b(-1) and 52.
364
Let f = 8974 + -628121/70. Find the common denominator of f and 41/70.
70
Suppose 0 = 9*y - 10*y + 3. Calculate the common denominator of 1*(0 + 102/(-21)) and (y - 3) + (-48)/2.
7
Let o(x) = x**3 + 3*x**2 - 9*x - 3. Let j be o(-5). Calculate the common denominator of 69/22 and (2727/342)/(j - 1).
1254
Let z(o) = 2*o**2 - 37*o - 13. What is the least common multiple of z(19) and 24?
24
Suppose -11*b = -25*b + 770. Calculate the lowest common multiple of 40 and b.
440
Let l(i) = 6*i**3 - i - 7. What is the least common multiple of l(2) and 117?
117
Let p = 367/7 - 3167/56. What is the common denominator of -48 and p?
8
Suppose 18 = 2*x + m, 2*x + 5*m - 33 + 7 = 0. Let o(g) = 34*g - 8. Let v be o(-4). Calculate the least common multiple of x and (-20)/6*v/30.
16
Suppose 0*f - 5*f = 10, 2*p + f = 20. Let j(a) = -3*a + 5. Let h be j(3). Let b(t) = t**2 + 4*t + 5. Calculate the lowest common multiple of b(h) and p.
55
Let c(d) = 34*d**3 - d**2 - 2*d - 3. Let t be c(6). Suppose z - t = 3881. Let o = 201235/18 - z. Find the common denominator of o and 41/16.
144
Let t(o) = -5*o. Let v be t(-1). Suppose 0 = -2*y + 8, 180 = -0*i + 2*i + v*y. Suppose 6*h - h - i = 0. What is the least common multiple of 8 and h?
16
Calculate the smallest common multiple of 4 and 12/8*40/30.
4
Let g = -245870009/120 - -12291797/6. Let a = 2231/8 + g. What is the common denominator of a and 113/10?
30
Calculate the common denominator of 105/34 and -6*(-4)/(-10) + 6/3.
170
Let m = 8897 + -329216/37. What is the common denominator of m and 0 + 2 + -5*88/64?
296
What is the lowest common multiple of 2/13 + 6820/286 and 54?
216
Let d be (3 - 294/104)*32/156. Let k be 57/338*560/(-44). Let j = d - k. Find the common denominator of 55/8 and j.
88
Let z(u) = -u**3 - 7*u**2 - 3*u - 19. Let a be z(-7). Suppose a*w - 45 + 9 = 0. What is the least common multiple of 24 and w?
72
Let g = 77476696/33137 - 576/2549. Let r = g - 2339. Calculate the common denominator of 29/7 and r.
91
Let i be 1/6 + 331142/(-84). Let g = i - -47189/12. Calculate the common denominator of g and -151/18.
36
Let k = -70 + 168. What is the common denominator of (27/75)/((-2)/(-70)) and k/(-22) + 1 - -1?
55
Suppose 48*n = 56*n - 8. Calculate the smallest common multiple of 10 and n.
10
Let n(k) = 20*k - 88. Calculate the smallest common multiple of 874 and n(5).
5244
Suppose -s = 2*n - 45, -5*n + 0*n - 91 = -3*s. Suppose 4*q = -5 + s. Calculate the least common multiple of q and (-1)/(-4) + 71/4.
72
Let o = 103895803/18 + -5769666. Let m = o + -2324. Let j = 1/74 - 3445/296. Calculate the common denominator of j and m.
72
What is the smallest common multiple of 180 and -13 + 5509/35 - 4/10?
720
Let v(g) = g**2 - 7 - 5*g + 0*g**2 + 2*g - g. Calculate the lowest common multiple of (4/1)/((-4)/(-18)) and v(6).
90
Suppose -6*s - 71 - 235 = 0. Let r = s - -63. What is the smallest common multiple of 30 and r?
60
Suppose 48 + 27 = -5*h. Let r be (74/h)/(176/666). Let y = -251/11 - r. Calculate the common denominator of -73/8 and y.
40
Suppose -2*h + 64 = 5*j, -5*h - 4*j + 69 = -125. Let v = h + -36. What is the smallest common multiple of v and 10?
30
Let v(c) = c**2 + 4*c - 3. Let m(p) = -4*p**2 - 12*p + 8. Let g(d) = 3*m(d) + 10*v(d). Calculate the common denomin