
Calculate the lowest common multiple of -4*5/(-50) + (-279)/(-15) + 3 and 1486.
16346
Suppose -4*f + b + 7 + 274 = 0, -5*b = -3*f + 232. What is the least common multiple of f and 17?
1173
Let v be (-1 - 11)*-9*(-2)/36. Find the common denominator of 131/12 and v/(-16) - (-5 + (-29625)/(-5240)).
1572
Calculate the common denominator of ((-103)/1030)/((-476)/530) and 29/2992.
20944
Suppose -2*m + 4*y = -34, 2*m + 9*y - 31 = 10*y. Let d = 81 + -46. Calculate the least common multiple of m and d.
105
Let f(o) be the third derivative of o**4/24 + 13*o**3/6 + 27*o**2. Let x = 0 + 16. Calculate the lowest common multiple of x and f(-5).
16
Let x = 1165/2 - 608. Find the common denominator of x and -58/3213.
6426
Let r = 38/905 + 59588/89595. Let i = 29/11 - 20/11. Let x = r - i. Calculate the common denominator of x and 43/54.
54
Let m = 1167536939 - 3499108116263/2997. Let l = m + -1122/37. Calculate the common denominator of l and 64/45.
405
Suppose 27*q = 12*q + 4485. Suppose 25 = 5*i, a - q = 5*a + 5*i. Let x = a - -84. What is the lowest common multiple of 33 and x?
33
Let a(c) = -c**3 + 8*c**2 + 12*c - 13. Let g be a(10). Find the common denominator of (62/g)/((-257)/(-249) + -1) and -3/32.
32
Suppose -10 = -2*p + 52. Let z = -33399 + 33402. Calculate the least common multiple of z and p.
93
Find the common denominator of 70/279 and (-976)/(-468) + (-92)/299.
279
Let u be 1/(-2)*(-10 - (-21638)/2163). Let j = u + 32717/147084. What is the common denominator of -17/8 and j?
136
Let b be (12/(-18))/(6/(-369)). Let j = b + -20. Suppose -t + j = -11. Calculate the lowest common multiple of t and 22.
352
Let d(n) = n**2 + 12*n - 159. Calculate the lowest common multiple of d(-25) and 34.
2822
Let q = 3153 - 2405. Calculate the lowest common multiple of q and 85.
3740
Let j = 15/7531 - -457951/722976. Let l be (4/(-6))/(3/(-108)). Let w = -335/14 + l. Calculate the common denominator of j and w.
672
Let y = -22032 + 1762581/80. Calculate the common denominator of y and -59/288.
1440
Let b = -228 - -114. Let s = -109 - b. Calculate the least common multiple of s and 20.
20
Let j(y) = 2*y**2 - 18*y + 21. Suppose w = 2*q - 0*w - 71, 2*w = -q + 23. Calculate the least common multiple of j(9) and q.
231
Let m(t) = 3*t - 1 + 5*t - 38 - 2*t. Let l(g) = 3*g + 21. Calculate the lowest common multiple of l(-4) and m(10).
63
Find the common denominator of 23/(6992/42)*24/(-2) and 784/(-209) + (-20)/(-5).
418
Suppose -214 = -4*l - 190. Let x(h) = h**2 + h + 8. What is the lowest common multiple of x(0) and (2/14)/(l/294)?
56
Let h = 15723/8 - 235297/120. Let f = 22992 - 5242129/228. Find the common denominator of h and f.
1140
Let p(k) = 703*k + 5694. Calculate the least common multiple of 2219 and p(-8).
22190
Let c = -328 + 296. Let g = 12 + -6. Calculate the lowest common multiple of g and (-424)/(-64) + (-12)/c.
42
Let v = 41 - 31. Suppose o + 4 = v. Let w = -2 + o. What is the smallest common multiple of w and 1?
4
Let j be ((-746564)/(-42))/(2/87). Let v be (6/56)/((-52)/j). Let r = 1590 + v. Calculate the common denominator of r and 85/14.
112
Let w be (-3)/(-2)*24*(-112)/(-72). Suppose 5*f + 3*i = w, -f - 3*i = -2*i - 12. Calculate the smallest common multiple of f and 7.
70
Suppose -177 = -5*z + 7*z - 1593. What is the least common multiple of 30 and z?
3540
Let k(b) = 12*b + 117. Let z(s) = -13*s - 118. Let a(m) = 4*k(m) + 3*z(m). Calculate the least common multiple of 3 and a(-7).
51
Suppose 5*g - 20 = 0, 0*g + 3*g = -5*l + 7. Suppose -408*y = -5*r - 413*y + 10, -y = -4*r + 8. Calculate the lowest common multiple of 8 and (r - 3) + 12 + l.
40
Let f be (17016/(-10485))/(54/180). Let g = 34/233 - f. Calculate the common denominator of 1/98 and g.
882
Let l(i) = 3*i - 52. Let s be l(18). Let b be s*((2 - 4) + 5)*1. Let h = b + 5. What is the smallest common multiple of 10 and h?
110
Let p = 267069/2 + -59155762/443. Calculate the common denominator of -41/26 and p.
11518
Suppose -5*m = 3*x - 458 + 149, 0 = 2*m + 3*x - 120. Suppose 8*d = 3*d + b + m, -4*d + b + 51 = 0. What is the smallest common multiple of 138 and d?
276
Let n(g) = -7*g**2 + 17*g - 49. Let i(h) = 3*h**2 - 8*h + 24. Let s(v) = -9*i(v) - 4*n(v). What is the least common multiple of 12 and s(4)?
12
Let h be -11*(-1)/(15/3 - 4). Find the common denominator of 55/9 and h/((-1 - -8)*-4).
252
Let v = -15/37 - 699/740. What is the common denominator of (-3)/9 - 266/660 and v?
220
Suppose -g = -10*g + 72. Find the common denominator of -36/5 and (-3)/g + 906/(-720).
30
Let a = -9773 + 15977. Calculate the lowest common multiple of a and 44.
6204
Let t be 515*(-3 + 9 + (-4 - 65)). Let d = 2011659/62 + t. Calculate the common denominator of d and -61/10.
310
Let g = 711/650768 + -8425024951/3145161744. Let w = -14/537 + g. What is the common denominator of (-6)/45*1 + 18/(-540) and w?
54
Suppose -4*r = s - 3, 5*r - 4*s - 30 = -0*s. Let b be (24/9 - r)*-3. Calculate the least common multiple of 5 and b/6*7/(14/(-162)).
135
Let c = 197/42 - 4/21. What is the common denominator of c and (-43 + -11)*(-4)/(-224)?
28
Let i = -96/11 + -611/22. Let z be (6/(-15320))/((0 - -6)/(-96)). Let t = z + -140467/107240. Calculate the common denominator of i and t.
56
What is the common denominator of (0 + (-3 - (-469)/(-84)))*18/(-315) and 89/42?
210
Let p = -2829 + 2865. What is the smallest common multiple of p and 56?
504
Let m = 115/12 - 109/12. What is the common denominator of m and -39/5806?
5806
Let u be 1709/120 + (-19)/(-76). Let s = u + -241/24. Calculate the common denominator of s and -7/50.
100
Let c = -4 - -100. Suppose 8*n - c = 11*n. What is the common denominator of 81/22 and (-6)/3*(-53)/n?
176
Let p(d) = 101 + 4*d**2 + d**3 - 34 - 36 - 3*d - 27. Suppose 0 = -6*n + 2*n - 16. What is the lowest common multiple of 6 and p(n)?
48
Let o = 378 - 398. Calculate the common denominator of ((-6)/o)/(4 + (-13344)/3390) and -1/10.
120
Let p = 23/728 - 122651/3859128. Let m = p + -89945/911772. Calculate the common denominator of m and 81/8.
344
Suppose 6*z + 586 = 7786. Calculate the common denominator of -3 + (z/128 - 2/4) and -22/45.
360
Find the common denominator of -9/20 and -10 - 5 - 343/(-21).
60
Suppose -5*b = -5*t - 1385, 18 = -365*t + 359*t. Suppose -17 = -2*g + 19. What is the smallest common multiple of b and g?
2466
Calculate the common denominator of 99/14 and (-5289)/2076 - (27/(-14) + 424/(-742)).
4844
Let o be (48/24)/(0 - (-2)/4). Let j be 3/(-2)*((-49472)/(-6))/o. Calculate the common denominator of j/(-120) + 6/(-10) and 49/10.
30
Suppose 3*n + 1518 = -5*o, -n = 3*o - 4*n + 930. Let i = 322 + o. What is the lowest common multiple of i and 14?
112
Suppose -f = f - 10*f. Suppose 8*v + 0*v - 160 = f. What is the smallest common multiple of 16 and v?
80
Let m = -4632 - -8011. What is the common denominator of 71/12 and 1 - 1 - 1 - m/(-372)?
12
Let a = 9/784 + 26539/10192. Calculate the common denominator of a and -26/109.
1417
Calculate the common denominator of 127/170 and 327*10/(48*25).
680
Let d = -671/26 - -82/13. What is the common denominator of d and -95/86?
86
Find the common denominator of 25/376 and 2/4 + 2 + (-11130)/4700.
1880
Suppose -3936 = 183*s - 151*s. Let p be 125 - (1 - 1) - 0. Let q = s + p. What is the least common multiple of 10 and q?
10
Let y = 6 - 1. Suppose 2*o - 11 = -3*g - 2, -4*o + 3 = 3*g. Calculate the lowest common multiple of g and (1 + 0)*y/1.
5
Let u = 246827 - 319640997/1295. Calculate the common denominator of u and 2/5.
1295
Let z(r) = 15*r - 33. Let o be z(5). Find the common denominator of (-4)/(-18) - (-921)/(-54) and (-454)/96 - (329/o + -8).
48
Suppose 5*y = 4*n + 80, 6*y - 2*y = -16. Suppose -34*r + 31*r = 60. Let t = r - n. What is the smallest common multiple of 1 and t?
5
Let x = 19325/7 - 2753. Let y = 970/49 + -70121/4312. Let u = y + -21/8. What is the common denominator of u and x?
77
Let w = -316073/52066 + -3/3719. Find the common denominator of 144/(-32) + (14 - -5) and w.
14
Let a(y) = -8*y. Let k(i) = -545*i - 1627. Calculate the lowest common multiple of k(-3) and a(-2).
16
Let y = -125 + 215. Calculate the least common multiple of y and 24.
360
Let s = -1247443/324 + 3850. What is the common denominator of 133/360 and s?
3240