 Suppose -15 = -2*l + 3*b + 1, 0 = 4*l + 3*b - 32. Suppose -j - l = -3*j. What is the smallest common multiple of x and j?
20
Suppose -1350 = 4*z - 4*o - 1398, -5*z + o + 32 = 0. Calculate the smallest common multiple of z and 900.
900
Suppose 1155 = -i - 14*i. What is the common denominator of (-27)/i - (-48)/168 and -46/45?
495
Let i(z) = 16*z - 114. Suppose -c + 22 = 2*h, 0 - 21 = -h - 3*c. What is the smallest common multiple of i(h) and 60?
60
Let p be (-5 - -6)*637/4. Let z = 158 - p. Find the common denominator of z and (-155)/(-122) - (-2)/(-1).
244
Let q = 25694 + -1233379/48. What is the common denominator of 27/22 and q?
528
Calculate the common denominator of -197/690 and 13 + 84/(-7) + (19/(-207) - 1).
2070
Let z = -600 - -222. Let u be ((-14)/6)/(21/z). Suppose -2*t + u = 5*t. What is the smallest common multiple of t and 36?
36
Suppose -39*c - 12 = -42*c. Let p(z) = -88*z - 22. What is the lowest common multiple of c and p(-3)?
484
Let k(r) = -17*r - 188. What is the smallest common multiple of 7 and k(-16)?
84
Let x be 1252519/(-3597) - 1/3. Let p = x - -351. Let l = -2471/15 - -460/3. Calculate the common denominator of l and p.
55
Let f(n) = -2*n**3 - 44*n**2 + 2*n + 41. Let z be f(-22). What is the common denominator of -133/18 and (55/(-124))/(z/4)?
558
Let w = -18646 - -223739/12. Find the common denominator of 73/(-63) - 2/(-1) and w.
252
Let f = 49 - 1. Suppose 4*v - 12*v = -f. Suppose v*h - 14 - 10 = 0. What is the smallest common multiple of 12 and h?
12
Let x = -1/1548 + 27355/10836. What is the common denominator of (-3 - -5)*(-8)/25 and x?
525
Let l = -41/16510 + -587911/19217640. What is the common denominator of 59/60 and l?
11640
Suppose -i + 4842 = 3*g + 2*g, 2*g - 5*i = 1926. What is the common denominator of 10/8 - 330/g and 59/86?
946
Let a = -58116106/21 + 2765053. Let q = 2380 + a. Calculate the common denominator of q and 43/70.
210
Let s(u) = 2*u - 13*u**2 + 14 - 14 - 4*u**2. Let r be s(-4). What is the common denominator of 4/23 and 0 + -2 + r/12?
69
Let v(u) = 120*u + 2*u**2 - 2 - 5 - 112*u. Let r be v(-5). Suppose -y - 2*d = y, 9 = -r*d. Calculate the least common multiple of y and 4.
12
Suppose 34*h - 32*h = 12. Let i be (-21)/(-1)*(-34)/h. Calculate the common denominator of -25/22 and 48/(-120) + 2/((-220)/i).
22
Suppose 69960*z = 69943*z + 10795. What is the lowest common multiple of 4953 and z?
24765
Let p(h) = -11*h - 8. Let r be p(-10). Calculate the common denominator of r/4*(-4)/(-15) and ((-284)/10)/((-63)/((-4410)/616)).
110
Calculate the common denominator of (0 - -3)*8/(-18) + (-36348)/(-36504) and 70/471.
36738
Calculate the smallest common multiple of 198 and ((-19)/(627/(-88)))/((-3)/(-27)).
792
Let q = 17/137 - 3062/3699. What is the common denominator of q and 23/105?
945
Suppose -7119*a = -7084*a - 48195. Calculate the lowest common multiple of 1377 and a.
1377
Suppose 2*t - 364 = -12*t. Suppose -t*p + 28*p = 40. What is the least common multiple of p and 2?
20
Let b = 221803/1092 + -7844/39. Calculate the common denominator of b and -89/260.
5460
Suppose -13*c - 19389 - 44168 = 0. Let m = c - -48823/10. Let q = 2822/17325 - 2/693. Calculate the common denominator of m and q.
50
Suppose 2*i - 5886 = 8*i. Find the common denominator of i/(-6)*(-7)/(-147) and -77/10.
70
Find the common denominator of (-47106)/8316 + 5 + 0 + 1 and -1/132.
924
Let f = 8 - 8. Let m(k) = k**3 + 7. Let p(n) = 14*n - 39. Calculate the smallest common multiple of p(3) and m(f).
21
Let n(r) = -11 + 19 + 27 - r**2 + 2. What is the least common multiple of 27 and n(5)?
108
Find the common denominator of (-910)/(-12)*9/30 + 11/44 and -81/2816.
2816
Suppose -5*o - c + 501 = 0, -3*c + 389 = 4*o - 14. Let q(s) = 4*s**2 + 11*s - 11. What is the smallest common multiple of q(1) and o?
100
Let t = -3816 - -6777217/1776. Calculate the common denominator of t and 15/16.
1776
Let c(g) = -2*g - 10. Let w be c(-5). Suppose w = -2*d + 7*d + 3*s + 50, 3*s = -d - 22. Find the common denominator of -47/33 and (-14)/6 + 14/d.
33
Let t = -79 - -89. Let s = -175 + 184. Calculate the smallest common multiple of t and s.
90
Suppose t + t + 40 = -n, 5*n = t - 167. Let u = -15197/198 + 752/11. What is the common denominator of (4/8)/((-9)/n) and u?
18
Let l = -22695/23 + 987. Let h = l - 226/161. What is the common denominator of 52/3 and h?
21
Let v = 33 - -27. Find the common denominator of -41/110 and 113/(-200) + v/(-160).
550
Let k = -67591/20 + 6747/2. Calculate the common denominator of k and -47/230.
460
Let o = 96 - 89. Let v = -6 + o. Suppose v + 11 = 2*r. What is the smallest common multiple of r and 4?
12
Let c = -11620 - -11912. What is the smallest common multiple of c and 212?
15476
Suppose -48425 = -102*i + i + 661. Calculate the smallest common multiple of 162 and i.
486
Suppose -164*u + 32463 + 24172 = -31925. Calculate the smallest common multiple of 20 and u.
540
Let a be -8 + 12 + -5*11. Let m = -98 + 83. Let z = m - a. What is the smallest common multiple of 10 and z?
180
Calculate the common denominator of (-1)/((-264)/619) + 1316/(-752) and 111/176.
528
Let z be (-1070)/(-15) + (-1)/((-9)/6). Let c = z + -30. Calculate the common denominator of (-50)/c + (48/28)/(-4) and -149/24.
168
Let x = 161457/14 - 11528. Let m = 85900 + -145372. Let f = -6898801/116 - m. What is the common denominator of f and x?
812
Let o = 2371 + -37879/16. Find the common denominator of o and ((-170)/3608)/(-12*37/888).
7216
Let t = 200329521 - 348573337339/1740. Let f = t - 14/435. Let l = 2987/5 + -41673/70. Find the common denominator of l and f.
28
Suppose 0 = 3*l - 5*y - 39, 3*l + 5*y = y + 66. Suppose -4*m - 22 = -w, 0*w + 4*w + 4*m = 68. What is the lowest common multiple of w and l?
18
Let h = 2000 + -1982. What is the smallest common multiple of 135 and h?
270
Let z = -138 + 72. Let y = -9641/2724 - 10/227. Calculate the common denominator of ((-4)/18)/(z/(-639)) and y.
132
Let s = -5587 + 167627/30. Find the common denominator of s and 41/600.
600
Suppose o - 97 + 98 = 0, 3*z - 4*o - 244 = 0. Calculate the lowest common multiple of z and 155.
2480
Find the common denominator of -73/726 and (19/(-627))/((-12)/25).
4356
Let a be -6*4 + 2 + -2. What is the smallest common multiple of (-1182)/a + (-12)/(-16) and 11?
550
Calculate the smallest common multiple of (-2 + 4 + 53 + 4)*(2 - -4) and 354.
354
Let w(n) = 20*n**2 + 30*n + 13. Calculate the lowest common multiple of 3 and w(-4).
213
Let b be 1913/1395 + 0 + 6. Let g = 8/279 + b. What is the common denominator of 71/90 and g?
90
Let f(t) = 13*t - 113. Let k(z) = -27*z + 226. Let v(y) = -7*f(y) - 3*k(y). Calculate the least common multiple of 6 and v(11).
6
Let y = -69843/4 - -17083. Let m = -376 - y. Calculate the common denominator of (225/(-324))/(2/(-20)) and m.
36
Let w = -1331158/7 + 189846. Let t = 45259/140 + w. Find the common denominator of t and -93/20.
20
Let w be ((-11)/(-6))/(4/35558). Let s = w + -16309. Let k = -1413/196 - -3020/441. Calculate the common denominator of s and k.
36
Let f be 1/(-2) + 49749507/4842882 - 5. Let i = 1/48918 + f. What is the common denominator of i and -75/16?
176
Calculate the common denominator of 13/348 and -6 - 3 - 20/(-288)*212.
1044
Let w(o) = 3*o**2 - 16*o - 1. Let y be w(7). Suppose 8*m = -14 - y. Find the common denominator of (-513)/170 - m/51 and -19/3.
30
Let f = 1787893964 - 8891196633315/4973. Let u = 562558853/2834610 - f. Let t = u + -3683/19. What is the common denominator of t and 113/30?
30
Let g = -606/85 - -3437/680. What is the common denominator of g and 1/1080?
1080
Let n be 6 + 40/30 + 15/9. Let b(z) = z**3 - 7*z**2 - 4*z - 56. Calculate the smallest common multiple of 98 and b(n).
490
Find the common denominator of ((-26)/(10192/(-63)))/((-6)/(-232)) and -107/366.
2562
Find the common denominator of 35/1526*51/5 and 63/2180.
2180
Let b = -492009/92 - -5348. Find the common denominator of b and -73/52.
1196
Find the common denominator of 11475/(-510)*7/40 and 41/8456.
16912
Let u = -34 - -48. Suppose 5*m = 4*i - 80, -3*i - 3*m + 33 = -0*i. Suppose v - i = -2*c, v + 24 = 4*c - 3*v. Calculate the least common multiple of c and u.
14
Let f(z) be the third derivative of -15*z**2 - 1/120*z**6 + 1/10*z**5 + 4/