nd the common denominator of 1652/(-1180) + 83/80 and 65/504.
5040
Let n = 123338/77589 + -334/233. Calculate the common denominator of -29/814 and n.
7326
Suppose 2*g + 50 = -4*j, 2*g = 2*j + 4 + 6. Let m = -971/78 + 411/13. What is the common denominator of m and (-1)/j*(-1 + -9 + -63)?
30
Let v = 39/742 - -6767/15953. Let c = -1319 - -5325/4. What is the common denominator of c and v?
172
Let k = 23714256 - 21390267133/902. Let h = k + 178/41. Let s = 691/44 - -45/22. What is the common denominator of h and s?
44
Let r(z) = -63*z + 1158. Calculate the least common multiple of r(18) and 678.
2712
Let b = -2662 + 2970. What is the lowest common multiple of 84 and b?
924
Suppose -11 = -3*m + 5*q + 98, 2*m + 3*q - 41 = 0. Let g = 39 - m. Find the common denominator of -91/46 and 2/g + 1*(-2517)/594.
414
Find the common denominator of 2418/52*(-8)/(-1494) and -6 + 8 - ((-212)/24 + 5).
498
Let a be 642527/2*14/441. Let w = a + -10198. What is the common denominator of w and -58/117?
819
Let z be ((-3)/3)/((-3)/9). Let p(s) = 55*s - 9. Let f be p(z). Calculate the common denominator of 49 and 840/f*(-2)/5.
13
Let d = -6 - -9. Suppose -4*c = 2*b + c + 4, -20 = -b + d*c. Suppose 523*g - 1492 = 150*g. What is the lowest common multiple of g and b?
8
Let s(g) = -20*g + 19. Let y be s(-9). Suppose 2*k - 3*k = v - 1, -9 = -4*v + k. Find the common denominator of 54/7 and (-2)/56*y - v/(-8).
7
Let i be 9/45 - 476/(-20). What is the least common multiple of 6/(-4)*((-344)/i - -9) and (-1)/2 - 17/(-2)?
8
Let z = 40 - 32. Let o = -17 - -25. Calculate the smallest common multiple of o and z/(0 + 4 + -3).
8
Let i(v) = v**3 - 69*v**2 + 13*v + 997. What is the smallest common multiple of i(69) and 34?
32198
Let i = -267818 + 133105500/497. What is the common denominator of 49 and i?
497
Let t = 17 - 6. Let c = -966 - -971. Calculate the smallest common multiple of t and c.
55
Let h(t) = t**3 + 25*t**2 + t + 64. Let n be h(-25). Suppose 17 - 43 = -4*b + y, 5*b + 2*y - n = 0. What is the smallest common multiple of b and 18?
126
Let q(p) = -81*p - 32. Let x be q(-14). Let b = -3568 + x. What is the common denominator of -63/10 and b/504 - 1/4?
70
Suppose 0 = 3*m + 16*m - 4*m - 6660. Calculate the smallest common multiple of m and 34.
7548
Let m = 380 - 424. Calculate the common denominator of 2556/(-108)*2/m and -69/8.
264
Let s(o) = o + 8. Let w be s(6). Suppose -3*k - 5*z + w = -0, 2*k = -4*z + 8. Let j = -355 - -362. What is the lowest common multiple of k and j?
56
Let i = 148254 + -89693704/605. Find the common denominator of i and 46/935.
10285
Suppose -3*w + 4*w + 10 = 0. Let x(g) = -4*g**3 + 5*g**2 - 7*g + 28. Let y be x(4). What is the common denominator of (4/w)/(y/4235) and -83/6?
24
Suppose 2*c = -5*w + 12, 5*c - c = 4*w - 32. Suppose -2*k + w*k - 20 = 0. Let x(r) = -9*r**2 + 96*r + 164. What is the smallest common multiple of x(12) and k?
20
Suppose 0 = 5*l - 4*z - 34 - 17, 3*l - 37 = 4*z. Let t be (-1090)/636 + l + -3. Let y = t + -24/53. Calculate the common denominator of 5/2 and y.
6
Let g = 69027/5 + -14388. Let r = g - -2347/4. What is the common denominator of 29/8 and r?
40
Let w = -62766 + 5021203/80. Calculate the common denominator of w and -67/56.
560
Suppose 5*k = -5, 11*k - 12*k - 283 = -2*a. What is the common denominator of -34/47 and (-20)/(-160) - a/(-88)?
517
Suppose 111 = -5*k - 2*r, 0 = k + 3*r + 24 + 6. Find the common denominator of 65/159 and (-7)/2 + (k/(-4))/(-7).
636
Let g(h) = -h**2 - 10*h - 16. Let m be g(-3). Suppose -l = 3*a - 6*a - 30, m*l + 3*a - 150 = 0. What is the least common multiple of 15 and l?
30
Let n = 18/8843 - 1572/8843. Find the common denominator of -8/17 and n.
4063
Let i = -1234841/1027012 + -2/110037. What is the common denominator of 143/126 and i?
252
Suppose q - 3*y = 66, y = 5*q + 86 - 416. Calculate the lowest common multiple of 33 and q.
66
Let j = 11376 + -11046. What is the lowest common multiple of 891 and j?
8910
Find the common denominator of 42/(-18)*783/42 and (2/435)/(8/(-130)).
174
Let f = -206792 + 33086831/160. What is the common denominator of f and -117/160?
160
Suppose -4*i + 3*i + 18453 = -k, i = 3*k + 18459. Let m = -1549955/84 + i. Calculate the common denominator of m and 35/12.
84
Let x = 4259633 - 34125021/8. Suppose -2*p = -p - 6007. Let c = x + p. Find the common denominator of c and 37/10.
40
Suppose -11*w + 5751 = -48666. Let g = -18113259 - -398382791/22. Let v = w + g. Calculate the common denominator of v and -35/8.
88
Let o be ((-2747)/55555)/(4/419). Let g = o - -8/271. Find the common denominator of g and -107/12.
60
Let d(k) = -8*k**2 - 862*k + 221. Calculate the least common multiple of 10492 and d(-108).
52460
Let r(j) = -j**2 - 10*j - 5. Let t be (-2)/8 - 19/4. What is the lowest common multiple of (-7)/(5*203/(-290)) and r(t)?
20
Let v(m) = -2*m + 38. Let p be v(10). Let n = p - 13. Suppose -4*d - n*x + 135 = 0, 8*d - 4*x = 4*d + 108. Calculate the least common multiple of 24 and d.
120
Suppose -48*g - 463 = -108 - 3523. What is the lowest common multiple of g and 252?
2772
Suppose 0 = -55*m - 88*m - 11*m + 796950. What is the least common multiple of 7 and m?
36225
Let d = -3607789/779166 + 1433/307. Let b = -101/94 + d. Calculate the common denominator of -68/129 and b.
1161
Let x = 12345208579/72 - 171455942. Let f = 5288 - x. What is the common denominator of 143/24 and f?
72
Let q = 973 + -7747/8. What is the common denominator of q and -39/1520?
1520
Let k = 70628/5 + -15608757/1105. Calculate the common denominator of 46/325 and k.
5525
Suppose 565 - 17 = 35*j - 222. What is the least common multiple of j and 5248?
57728
Suppose -3*w = -4*w. Suppose -9 = p - 4*h, w*p - h = -p + 3. Let t = -3603 - -3605. What is the smallest common multiple of t and p?
14
Suppose -4*t + 5*h + 111 + 59 = 0, -5*h = -3*t + 125. Suppose 29*c - 360 = 24*c. Calculate the lowest common multiple of t and c.
360
Suppose -2*i + 5 = 3*b + 23, 5*b + 26 = -2*i. Let c(f) = 2*f**2 + 4*f - 7. What is the lowest common multiple of 35 and c(b)?
315
Calculate the common denominator of 33/(-121)*931/(-54) + (5 - 10) and -41/22.
198
Let q = -14/515 + -9331/1545. Let h = 242711/1195 + -73/239. Let c = h - 9041/45. Calculate the common denominator of c and q.
45
Let g(a) = a**3 + 15*a**2 + 11*a - 2. Let s be g(-14). Suppose 4*r + 2*t - s - 12 = 0, 0 = 3*r + 5*t - 46. What is the least common multiple of r and 8?
24
What is the smallest common multiple of 14 and (908/16 - 1) + (-43)/(-172)?
56
Let y be (2/(-6) - 0) + 180/54. Suppose -9*c + y = 3. Suppose 5*z + 2*p - 51 = c, -6 = -2*z - p + 14. What is the lowest common multiple of 5 and z?
55
Suppose -4*j + 2*v + 116 = 0, -15*j + 122 = -11*j + v. Suppose -2*n + 0*n - 5*o = -81, 0 = -3*o - 9. Calculate the lowest common multiple of j and n.
240
Let p be (2/(-436))/(135/20). Let j = 2809/197181 - p. Calculate the common denominator of (-22)/(-3) + (-118)/((-7080)/(-900)) and j.
201
Suppose -3*m + w + 38 - 344 = 0, 0 = -3*w. Calculate the common denominator of m/(-14)*4/6 and (18/1)/((-24)/(-30)).
14
Let f(p) = 14*p + 2. Let j(u) = -1. Let r(n) = -f(n) - 12*j(n). Let w be r(-5). Suppose 4*s = -0*s + w. Calculate the least common multiple of 16 and s.
80
Let o(u) = u**3 - 3*u**2 - 13*u - 7. Let f be o(-2). Calculate the least common multiple of 45 and (90/25)/(f - 7/(-5)).
45
Let p = 57419/85 + -4055/6. What is the common denominator of p and 61/1785?
3570
Let y be 34/(-68) - 758/(-1532). Let j = 11933/11490 + y. Calculate the common denominator of j and 3/(-12) + 172/432.
270
Let w be -15 + 3/9*3. Calculate the smallest common multiple of 3 and 2156/35 - w/10.
63
Let v = -539828899/230 + 2347091. Let i = -348/23 + v. What is the common denominator of (-5 - -7) + 90/(-44) and i?
110
Calculate the common denominator of 7/120 and 1057/(-12880) + -6 + (-118)/(-20).
5520
Let w = -9 - 214. Let j = -211 - w. Calculate the least common multiple of j and 48.
48
Let y = 13/114 + -359/2926. Find the common denominator of -133/330 and y.
2310
Suppose z + 30 = -4*z. Let n(h) = -h**3 - 5*h**2 + 5*h. Let j be n(z). What is the smallest common multiple of (-3)/((-30)/95) - (-3)/j and 74?
370
Let i = -1/149 + -1926/1639. Let a = 413/33 + i. Let d = -49931/18 -