-309995/50424. Let u = -45/44 - n. Find the common denominator of u and 2/9.
72
Let p(i) = i**2 + 6*i - 12. Let z be p(-12). Suppose 0 = -a + 4*x + 34, 7*a = 6*a - 4*x + 2. What is the smallest common multiple of ((-4)/a)/((-5)/z)*3 and 28?
56
Let a = 7317503/364 + -20103. What is the common denominator of 5/252 and a?
3276
Find the common denominator of 4*9/168*((-8379)/(-270) - 7) and 111/1274.
12740
Let r(s) be the first derivative of -10*s**2 - 22*s - 20. Calculate the lowest common multiple of 16 and r(-3).
304
What is the smallest common multiple of 65 and (27/(-45))/(6/(-250))?
325
Let h = 4/44985389 + 44938919093035/1439532448. Let c = -31215 + h. Find the common denominator of -41/12 and c.
96
Suppose 64*i - 1180 = -29*i - 25*i. Calculate the lowest common multiple of i and ((-4)/6)/(1/(-15)).
10
Let d = 11354 - 11177. Calculate the smallest common multiple of 708 and d.
708
Calculate the common denominator of -5 - 429/((2 + -186)*(-9)/(-18)) and 77/12.
276
Calculate the lowest common multiple of 1998 and 2*-21*(-22)/5 + 30/150.
9990
Suppose -6*n + 13*n + 133 = 0. Suppose m + 5*b = 23, 3*b - 16 = -b. Calculate the smallest common multiple of (n + 21)/(4/14) and m.
21
Let p = -1728613/150 + 11524. Calculate the common denominator of 89/3270 and p.
16350
Let g = -795 - -563. Let k = -199 - g. What is the smallest common multiple of k and 6?
66
Let w be 4/18*144/(-16). Suppose 5*x - x = 24. Let g = x - w. Calculate the smallest common multiple of g and 14.
56
Suppose 2*n = 18*c - 21*c - 15, 3*n + 3*c + 12 = 0. What is the lowest common multiple of n and 5879?
17637
Suppose -15 = -3*r - 3. Let t = 56 - 34. What is the common denominator of (t/(-165))/(r/(-5)) and 11/48?
48
What is the common denominator of (-2515719)/346977 - (-2)/71 and 1 - 26*(-1)/(-55)?
495
Let x(s) = -4*s**3 + 2*s**2 + 11*s + 9. Calculate the smallest common multiple of 1164 and x(-2).
10476
Suppose 23*d = -15*d + 5016. What is the smallest common multiple of 132 and d?
132
Find the common denominator of (5/150)/(30/(-640)) and 71/315.
315
Let u(t) = t**3 - 4*t**2 - 6*t + 15. Let f(v) = -16*v + 322. Calculate the least common multiple of f(20) and u(5).
10
Let l = -4835/52 + 1524/13. Find the common denominator of (3 + (-567)/33)*(-7)/112 and l.
44
Let n = 3/359 + -3967/2154. Calculate the common denominator of n and 71/828.
828
Suppose -5*n - 7 = q - 3, -2*q - 3*n = 8. Suppose -7 = 6*z - 13*z. What is the lowest common multiple of 4 and ((-10)/40)/(z/q)?
4
Let m(j) = j**3 - 11*j**2 - 3*j + 30. Let o be m(12). What is the common denominator of 67/28 and 7410/(-304)*(-2 + 280/o)?
644
What is the common denominator of -37/595 and (-3 - 11) + 41520/2975?
595
Suppose y = 29*y - 8245 + 1805. What is the lowest common multiple of y and 184?
920
Let d = -7 - -18. Let a = -8 + d. What is the least common multiple of 18/(-18)*(-2 + -1) and a?
3
Let x(a) = -3*a**2 - 11*a - 7. Let b(t) = -3*t**2 - 11*t - 6. Let k(q) = -3*b(q) + 2*x(q). What is the least common multiple of k(-4) and (-3)/(-3) + 0 + 159?
160
Let c be (-2934)/(-81) + (-2)/9. Suppose -c = 5*q - 8*q. What is the lowest common multiple of -4 + 2 + -2 + -10 + 72 and q?
348
Suppose -11*u - 690 = -21*u. Let o = u + 19. Calculate the lowest common multiple of o and 8.
88
Find the common denominator of 2/((-48)/(-17))*(-78)/12 + (187 - 183) and 2/9 + (-307)/(-1008).
336
Find the common denominator of 325/(-1040)*204/20 and -37/1144.
2288
Calculate the least common multiple of 7550/(-255)*-15 + (-20)/170 and 9.
1332
Find the common denominator of ((-244)/16110*3)/((-12)/(-9)) and -61/3938.
19690
What is the common denominator of 3/(-6)*(-2 - -3) - 29512/(-83545) and -1/660?
4620
What is the smallest common multiple of (10/(-1))/5 - 13*-2 and 24?
24
Let l(j) = -5*j**2 + 121*j + 254. Calculate the lowest common multiple of l(23) and 84.
1176
Let r be (-3 + 3 + -89)/(-1). Let f = -86 + r. What is the common denominator of 3/10 and ((-12)/f - -1) + (-19)/(-16)?
80
Suppose 2*b = -2*c + 14600, 29210 = -123*c + 127*c - b. Calculate the least common multiple of 24 and c.
29208
Suppose -2*y = 135 - 2439. Suppose -4*u = -16, u + y = 4*l - 8*l. Calculate the common denominator of 34/l - (-393)/17 and -95/8.
8
Suppose 3*v + 123 = t, -21*t + 23*t + 4*v - 176 = 0. What is the smallest common multiple of 408 and t?
408
Let z be 69*(-4 - 20/(-6))*-58. Calculate the common denominator of 97/20 and z/(-560) - ((-55)/(-25) - 3).
140
Suppose -3*d = -3*k + 207, k - 99*d - 66 = -101*d. Calculate the lowest common multiple of 98 and k.
3332
Suppose -4*v + 2*z = 30 - 524, -2*v = -2*z - 242. What is the lowest common multiple of 486 and v?
3402
Let r(x) = x + 54. Let y be r(-21). Find the common denominator of 59/10 and -1 - (2 - 60/y).
110
Suppose -d - 1 + 4 = 0. Let t(v) = -v**2 + 6*v. Let g = 15 - 3. Calculate the least common multiple of t(d) and g.
36
Let a = 18 + -19. Let x(m) = -28*m + 2. What is the least common multiple of x(a) and -2 - (-5 - -2 - 20)?
210
Let q = -1448591/7770 + 2711/259. Let j(d) = -d**3 + 2*d**2 + 8*d + 13. Let k be j(7). Let z = q - k. What is the common denominator of z and 52/9?
90
Let x(g) = 27*g**2 - 13*g - 6*g**2 + g**3 - 7*g + 46. Let j be x(-22). Suppose -18*i = -17*i - j. What is the smallest common multiple of i and 28?
28
Let i be (140675294358042/(-5830569))/(93557608/42) + -1. Let x = i + -1/2678086529. Let h = 2/943 - x. Calculate the common denominator of h and 119/12.
12
Let g = 112/107 - -3690/1177. Calculate the common denominator of 46/1497 and g.
16467
Suppose -4138 - 2198 = -32*s. Suppose -442 = -16*r + s. Calculate the smallest common multiple of 45 and r.
360
What is the common denominator of 37/(-24) + 5 + -7 and (-8)/(-20) + 12217/(-2280)?
24
Suppose -n = i + i - 44, -5*n + 220 = -4*i. Let r be ((-6)/(-33) + 124/n)*-1. Find the common denominator of r + (-2 - 45/14) and -149/6.
42
What is the common denominator of 24/(-4) - 8/(-2) - (-10329)/4257 and -23/10?
1290
Suppose -5*o = -3*u + 1, 0 = 5*u - 2*u - 2*o + 5. Find the common denominator of -47/28 and 26/36 - ((-3)/u)/4.
252
Suppose 0 = -3*k + 3*h - 204, -6*k + 4*h - 128 = -4*k. Calculate the common denominator of 137/12 and (2/(-30))/(k/(-1470)).
36
Let y = -92 - 39. Let c = y - -157. Calculate the least common multiple of c and 8 + (-2)/(0 - -2).
182
Let x = 505/2 + -38405/152. Calculate the common denominator of x and -33/152.
152
Suppose -90*g = -141418 + 49168. What is the smallest common multiple of 615 and g?
3075
Let q(c) = 35*c + 75. Calculate the lowest common multiple of q(-2) and 464.
2320
Let k = -144 + -18. Let h = k - -92. What is the common denominator of (-460)/69*48/h and -38/21?
21
Let s = 32129/5 + -6405. Let m = -2147/115 + s. Calculate the common denominator of m and 58/3.
69
What is the common denominator of 19/2 and 4*3/(-18)*(-24795)/110780?
382
Let u(s) = 3*s - 14. Let n be u(3). Suppose 4*l - 9*l + 300 = 0. What is the least common multiple of l and (18/n)/(8/(-60))?
540
Let v = 361 + -319. Suppose 2*l = -3*m + 118 - v, 0 = -4*m - 4*l + 108. Calculate the lowest common multiple of m and 64.
704
Let v(l) = -75*l + 2129. What is the lowest common multiple of v(27) and 64?
832
Let j = -21781/3320 - -364/83. What is the common denominator of -45/292 and j?
2920
Calculate the least common multiple of 1275 and ((-80)/(-12))/(((-308)/(-210))/11).
2550
Let a = -738 - -740. Find the common denominator of (-3845)/(-3300) - (100/(-55) + a) and 29/36.
180
Suppose -6*b - 8 = -4*b. Let q be -2 - (-1298643)/54 - b. Let g = q + -24043. Calculate the common denominator of g and -149/18.
18
Let s be 4 + 0 + 268692/(-29120). Let c = s - -18/455. Find the common denominator of c and -109/96.
96
Suppose 154*u - 3366 = 50*u - 49*u. Calculate the lowest common multiple of 3066 and u.
33726
Let g = -3554 + 5114. Calculate the least common multiple of g and 10.
1560
What is the least common multiple of 1928 and (216/(-297))/(4/(-66))?
5784
Let m = -62 + 35. Let c = 8191/2826 + -3/314. Find the common denominator of -10 - -6 - 78/m and c.
9
Let p = -135839/6 - -22635. Find the common denominator of p and 131/3150.
3150
Let s be (2 + -6)*(-9 - -8). Suppose s*t = 2*z - 130, -4*z + 103 = -2*z + 5*t. What is the common denominator of -56/9 a