 - 23. Let j = z - -19. Suppose 208 = 4*b + 4*h, -4*b - 6*h + j*h + 196 = 0. Find the common denominator of -7/4 and b.
4
Let c = 267 - 288. Calculate the lowest common multiple of 9/(3/c + (-16)/(-14)) and 27.
27
Suppose t - 69 = 4*t. Let q = 3/514 - 37531/1542. What is the common denominator of 0 - (-3)/(-36)*t and q?
12
Let h = -87847/59514 - -60/763. Find the common denominator of (5/(-30))/(15930/(-621) - -25) and h.
1170
Suppose 5*c - 7 = 33. Suppose 0 = 2*o + 5*o - 140. Suppose 11*k - 46 = o. Calculate the smallest common multiple of k and c.
24
Calculate the common denominator of 171/(-228) + (-47)/(-10) and (21/(-14))/(6/(-95)).
20
Suppose 131*d - 6270 - 3181 - 1029 = 0. Calculate the lowest common multiple of d and 38.
1520
Let y = 7489943055/64 + -117039756. Let u = 9396 + y. Find the common denominator of -53/88 and u.
704
Let u = 1/2062 + -786655/4124. Let a = 1899/10 + u. What is the common denominator of a and 8/15?
60
Let o be (2/(-2))/((-7)/(-21)) - 7. Calculate the common denominator of -22/7 and ((-185)/o)/((-70)/(-4)).
35
Suppose -3*r - 36 = -108. Suppose 0 = 5*v + 57 + 3. Calculate the least common multiple of (-3 + 6)*4/v - -22 and r.
168
Suppose 2*d - 3*z - 16 = 0, z + 5 = 3*d - 12. Suppose -5*a = -49 - 1. Suppose 54 = -a*l + 174. Calculate the least common multiple of l and d.
60
Suppose -12*z + 16*z - w = 4483, 5*w = -15. Calculate the lowest common multiple of 120 and z.
3360
What is the lowest common multiple of 27 and (-28)/8*(2006/(-14) - 5)?
4671
Suppose 64*z - 37529 = 3593 - 930. Let r(s) = 2*s - 4. Calculate the lowest common multiple of z and r(4).
628
Let o be (7/2)/((-9)/18). Let h = -6 - o. Suppose w = -0*w + 2*c + 4, 2*c = 4*w - 22. What is the smallest common multiple of h and w?
6
Suppose 7*j = 6208 - 19585. Calculate the least common multiple of 20/(-3)*j/98 and 20.
260
Let j(r) = 8*r - 10. Suppose 22*b - 157 = -25. What is the lowest common multiple of b and j(5)?
30
What is the common denominator of 32/80 + (4 - (-125741)/(-28665)) and 26/15?
4095
Let b = 5805 - 5725. Calculate the smallest common multiple of 840 and b.
1680
What is the lowest common multiple of 571 and (2 - 41)/(-3) - (76 - 74)?
6281
Let s = -25186 - -277076/11. What is the common denominator of s and -169/6048?
66528
Let z = 9/136 - 5653/136. What is the common denominator of 11/356 and z?
356
Let i be 2*(4 - 5) - (3 - 5). Suppose -u + 18 = -i*u. Let z(m) = 2*m - 6. Calculate the lowest common multiple of u and z(5).
36
Let g = 27494 + -27296. What is the least common multiple of 286 and g?
2574
Let o(j) be the first derivative of -j**2/2 + 19*j - 142. Calculate the smallest common multiple of 18 and o(9).
90
Let o(c) = -c**3 - 11*c**2 - 32*c - 5. Let y be o(-7). Suppose 18*t = y + 139. What is the lowest common multiple of 2 and t?
18
Suppose -6*z + 8 = -10. Suppose 4*d = z*g - 85, 4*d + 3 = d. Calculate the least common multiple of 9 and g.
27
Let z(x) = 3*x**2 - 14*x - 12. Let t be z(-3). Suppose u = -p + 147, -4*p = -54*u + t*u - 589. Calculate the smallest common multiple of 8 and p.
296
Let t(r) = r**2 + 11*r + 9. Let d be t(-8). Let v be (-5)/(d/(-2)) + 410/(-6). Let x = 31 - v. Calculate the least common multiple of x and 2.
100
Suppose -1332 = -3*f + 4*u, -8*f - 1305 = -11*f - 5*u. Calculate the least common multiple of 620 and f.
13640
Calculate the lowest common multiple of (-11 + 8 - -9) + -2 and 660.
660
Let j = 29 - 24. Let z(u) = u**2 + 4*u - j - 3*u + 12. Calculate the least common multiple of 4 and z(0).
28
Let x = -3793 - -1384. Let m = x - -43309/18. Calculate the common denominator of m and 6/(-5)*(-2 - (-20)/(-32)).
180
Let f = 44 - 101. Let y = f + 62. Suppose -y*v + 2*b = -144, 4*v - 5*b - 117 = -4*b. What is the smallest common multiple of 18 and v?
90
Suppose -15233 - 10853 = -2*p. Let o = -65007/5 + p. Let n = o - 1807/45. What is the common denominator of 27 and n?
9
Calculate the least common multiple of (-3)/((-741)/58748) - 2/(-13) and 42.
714
Let d = 321351665/6 + -53442327. Let m = -117026 + d. Let u = 744 + m. What is the common denominator of u and 79/14?
42
Find the common denominator of (258/80)/(15/(-10)) and ((-10)/(-4))/(-5) + 0.
20
Let f(b) = b**2 - 19*b + 55. Calculate the smallest common multiple of 1122 and f(16).
7854
Let s = 8/225 - -1751/675. Find the common denominator of s and (1 + -2)*(737/22 - 34).
54
Calculate the lowest common multiple of 16 and ((-440)/(-15))/11 - (-1504)/3.
1008
What is the common denominator of (3 - 232/72)*(-3)/108 and -61/594?
1782
Let r = -4828 + 9444. Let l = r - 37009/8. Find the common denominator of -143/60 and l.
120
Calculate the smallest common multiple of (-38480)/(-2730) - 2/21 and 238.
238
Let s = 65/2 + -26. Let o(r) = r - 8. Let z be o(-8). Find the common denominator of s and (-2)/((z/156)/(-1)).
2
Calculate the least common multiple of 25/(25/(-8)) - -37 and -2*(-3 + (-1 - -3)).
58
Let n(q) = -q**2 + 131*q - 1567. Calculate the least common multiple of 1317 and n(28).
1317
Calculate the common denominator of 228/72 - 6/(-15) and -79/735.
1470
Suppose -4*z - 13 = 5*n, 9*n - 13*n - 29 = -3*z. Suppose 4*r - 8 = 0, -z*x + 5*r + 339 - 19 = 0. What is the smallest common multiple of x and 16?
880
Let v be (-9 - 1)*62/5. Let n = -10599/2710 + 3/271. Find the common denominator of (2/v)/((-9)/531) and n.
310
Let g = -530091/160 + 16573/5. What is the common denominator of (-85)/(-8)*(-1137)/(-3790) and g?
32
Suppose -z - z - 16 = -n, 5*z + 52 = 4*n. Let d be (n/48)/((-4)/488947). Let k = d + 20378. What is the common denominator of -67/14 and k?
168
Suppose -214*p + 12459 + 16922 - 1561 = 0. What is the lowest common multiple of 1040 and p?
1040
Find the common denominator of 83/(-36)*1 + 2 and 11 - (2 - (-28)/(-11) - (-7172973)/639232).
2304
Let u(y) = -2*y**3 - 71*y**2 - 293*y - 28. What is the least common multiple of u(-31) and 22?
4466
Let u = 136724/33 - 4145. Let r = 297674/27 + -11023. Find the common denominator of r and u.
297
Let r(z) = -7*z + 20. Let a(c) = -4*c + 21. Let g(q) = -4*a(q) + 3*r(q). What is the smallest common multiple of g(-9) and (9/(-2))/((-3)/18)?
189
Let c = 2302332197/2646 + -870118. Calculate the common denominator of 83/490 and c.
13230
Calculate the common denominator of (-82)/(-1940)*(3 + -5) and -151/18.
8730
Suppose 16*t = 3*g + 17*t - 163, 3*t = -3*g + 177. What is the lowest common multiple of g and 2028?
2028
Let y = 1/18372 - 390407/36744. Find the common denominator of ((-2)/3)/((-52)/(-66)) and y.
104
Suppose y = 3*k + 2351, 0 = -0*y - 5*y + 3*k + 11791. Suppose y = -37*n + 96*n. What is the smallest common multiple of n and 30?
120
Let p(y) = 7*y**2 + 7*y + 4. Suppose -l + 2*q = -13, 64 = 4*l - 5*q + 18. What is the least common multiple of l and p(-3)?
414
Let h(n) = n**2 - 71*n - 1992. What is the smallest common multiple of h(-22) and (57/(-15) - 1)*-10?
432
Let s be -1509*(25/(-15) + (-1)/(-3)). Let x = -4067 + s. Let k = x + 32851/16. What is the common denominator of 61/26 and k?
208
What is the common denominator of 4 + 4 + (-7220)/952 and (-5)/(-5)*178/(-4)?
238
Let d = -3 + -18. Let f = d + 35. Suppose -3*c - 5*x = -16, -4*c - 7*x = -2*x - 28. Calculate the smallest common multiple of c and f.
84
Let r be (84/24 - 4)*(-22)/5178. Let x = r + 188579/196764. Find the common denominator of x and 63/16.
304
Let b = 127 - 186. Let w = 77 + b. Suppose 4*g - 2*i + 53 = 161, g = -5*i + 27. Calculate the least common multiple of g and w.
54
Suppose 4*q = -5*m + 346, 5*q - 83 = -m + 3. Let w = m - 64. Suppose 0 = -w*g + 5*x + 43 + 6, -12 = -4*x. What is the least common multiple of 44 and g?
352
Let c be -1 + -5 + (2 - 94). Calculate the common denominator of 6 + 0 + 371/c and -79/308.
308
Let u(q) = -6548*q - 2. Let h be u(1). Let s be 483/35 + 6/5. What is the common denominator of h/20*(-1)/s and -33/2?
6
Let f = 3441895/84 + -40973. What is the common denominator of -37/204 and f?
1428
Suppose 2*i + 33 = 29. Find the common denominator of 53/10 and (77/660)/(i/76).
30
Find the common denominator of (6/(-15) - 1)/(-5 - (-6776)/(-35)) and -173/90.
29790
Let m = 7 - 4. Let l = 947/36 - 245/9. Calculate the common denominator of l and (-63)/(-27) + m/2.
12
Suppose 2*k + 84 = 26. What is the common denominat