lest common multiple of 169 and (-3378)/(-20) - (p - 3)/40.
169
Let q(n) = 13*n**2 + 12*n + 27. Let w be q(-8). Suppose -4*k + 3*x - 4612 = -w, -4*x - 948 = k. What is the common denominator of -4 + (-445)/k*4 and 47/33?
528
Let w(x) = 2*x**2 - 7*x + 8. Suppose 20*b = 17*b - 5*l + 132, 3*l = -5*b + 252. What is the lowest common multiple of w(4) and b?
108
Let p = 209469 + -74780525/357. What is the common denominator of p and 113/48?
5712
Let j = 9022 + -8968. What is the smallest common multiple of 108 and j?
108
Let a(j) = -j**2 + 57 + 13*j - 3*j - 42. Let f be a(11). Find the common denominator of (-5)/60*65 - f and 39/10.
60
Suppose 3*k - n - 41 = -2*k, -27 = -4*k - 5*n. What is the common denominator of (-2)/k + (-257)/(-12) and 3*(-9)/(-54)*-17?
6
Suppose 0 = 81*p - 73*p - 20664. Calculate the lowest common multiple of 287 and p.
2583
Let r = -2368571/62 - -38204. What is the common denominator of r and -17/279?
558
Let p(u) = -11*u**3 + 2*u**2 + 2*u + 1. Let w = -1630 + 1718. What is the lowest common multiple of w and p(-1)?
264
Let t(x) = 13*x - 90. Let s be (22 + 3 - 5)/2. What is the smallest common multiple of 56 and t(s)?
280
Let m be (((-164)/4 + 0)/(-1))/1. Let t = 37 - m. What is the common denominator of -23/3 and 1/(-24)*t*(-213)/2?
12
Suppose 4*u - 10 + 6 = 0. Calculate the common denominator of (u + (-21)/(-15))*6/(-3) and -93/2.
10
Let c = -383/100 + 147/25. Find the common denominator of c and 71/3010.
6020
Let h = 121 + -67. Let f = 71630 - 71558. What is the least common multiple of f and h?
216
Let d = 327 + -324. Suppose 0*n = -n - d*r + 7, 4*n + 5*r - 21 = 0. What is the least common multiple of 236 and n?
236
Suppose 0*r = 2*r - 10. Suppose -3*n - 4*k = -78, -2*n - r*k = -2*k - 52. Suppose 0 = 2*v - 950 + 946. What is the smallest common multiple of n and v?
26
Calculate the common denominator of 53/14 and 7 + (-2)/2 - 10*388269/651000.
21700
Let u be 239958/(-51360) + 15/50. Let h = u - 7/107. Let p = -4531/44 - -1284/11. Calculate the common denominator of p and h.
16
Find the common denominator of ((-1)/162)/((-362)/58101) and -131/684.
2052
Let j(a) = -5*a - 15. Suppose 14 = -0*p + 7*p. Let g(m) = -4*m - 14. Let q(s) = p*j(s) - 3*g(s). Calculate the smallest common multiple of 21 and q(6).
168
Let g = -4819791/4048 + 13094/11. Let l = -32/23 + g. What is the common denominator of (-7)/(-49) - 1/(42/1329) and l?
16
Suppose -4*m - 246 = 1650. Calculate the smallest common multiple of 1/(m/120 - -4) and 20.
20
Suppose -15*n + n = -56. Suppose 4*k = 0, 3*r + n = -3*k + 214. Calculate the lowest common multiple of 56 and r.
280
Let f(j) = j**2 + 3*j + 17. Let a be 3 + (-35)/5 - 3. Let g be f(a). Calculate the common denominator of -65/16 and (-6)/g + 859/30.
16
Suppose 12*s + 5*h - 3928 = 0, s - 14 - 294 = 2*h. What is the lowest common multiple of 216 and s?
648
Let n(s) = s**2 + 19*s - 329. Calculate the lowest common multiple of 735 and n(16).
8085
Suppose 4*s = s + 33. Calculate the least common multiple of (20/(-3))/(6/180*-5) and s.
440
Suppose 0*w = -3*w + h + 60, 0 = -5*w + 2*h + 100. Let p be 4/1 + 0/7. Let x(r) = -r**3 + 5*r**2 - r + 4. What is the lowest common multiple of w and x(p)?
80
Let w = 116851/60 - 1946. What is the common denominator of w and 161/60?
60
Let w = 491 - 461. Calculate the common denominator of (-427)/w + 12/30 and -83/15.
30
Let h(p) = p**3 - 19*p**2 - 19*p + 16. Let n be h(20). Let d = -207197/64536 + 6/2689. Find the common denominator of (-798)/n - 1 - (1 + -3) and d.
24
Let r be (-23974)/2568 + 4 + -5 + 4. Let c = r - -27/107. What is the common denominator of -33 and c?
12
Let x be (134073/(-480)*-18)/(((-21)/(-28))/(-3)). Let h(y) = 20107*y - 1. Let b be h(1). Let s = x + b. Calculate the common denominator of s and 85/12.
60
Let s be 45 + (-2 - (1 - 1)). Let i = 55 - s. Let f = -15 + 21. What is the lowest common multiple of f and i?
12
Suppose 2*r - 54 = -2*n, 2*r + 5*n - n - 44 = 0. Calculate the common denominator of -67/8 and (-16)/474 + (-3 - r/(-12)).
632
Let f = 48 - 14. Let k(u) = 667*u - 1887. What is the lowest common multiple of f and k(3)?
1938
Let q = 43565 + -264085/6. Let m = q + 455. What is the common denominator of -95/534 and m?
534
What is the smallest common multiple of 8/(-3)*((-1338)/24 - (-2)/8) and 8?
296
Let y = 121287 + -16980273/140. Calculate the common denominator of -121/1736 and y.
8680
Suppose 0 = -3*k + 7*h - 5*h - 4, h = 5. Calculate the smallest common multiple of 8 and ((-16)/(-12))/k*(-36)/(-6).
8
Suppose 3*o = -2*f - 501, 0 = -o + 4*o + f + 498. Calculate the common denominator of ((-2450)/o)/(-7) + 4 and 88/105.
1155
Let u(s) = -s**2 + 9*s - 15. Let i be u(8). Let k = 6425/44 - 571/4. What is the common denominator of k and (i - -9) + ((-22)/14 - -1)?
77
Calculate the least common multiple of (-3)/(-2)*(219/9 + (-63)/(-189)) and 32.
1184
Let z = -961081/48 - -20024. Let l = -2/6441 - -6497/180348. What is the common denominator of l and z?
336
Let n = -233155053608357/27840216560760 + 271/423618633. Let i = n + -2/8215. Calculate the common denominator of 23/16 and i.
16
What is the lowest common multiple of 746 and (4 - 34/2*68/204)*-3?
3730
Calculate the smallest common multiple of 4/(-7) + -9*(-112616)/1764 and 574.
574
What is the lowest common multiple of 598/10 + 39 + 2522/(-65) and 160?
480
Let q = 424177/116 - 3657. What is the common denominator of q and 59/203?
812
Find the common denominator of -55/574 and 59 - 52 - 526/63.
5166
What is the common denominator of (-31)/72 - (1/(-4))/(4/(-2)) and -18/341?
3069
Let s = -4177/858 + 142/39. Let n = 1242341 + -17323863/14. Let l = n + -4917. What is the common denominator of l and s?
154
Let t = -9 + 23. Calculate the least common multiple of t and 4/(-16) - (-46)/(-8) - -196.
1330
Let m(t) = -t**2 + 28. Let s be m(7). Let n be ((-7)/s)/((-16)/18 - -1). Suppose 3*y = -n*y + 42. Calculate the smallest common multiple of 1 and y.
7
Let n(w) = 6*w - 20. Let r be n(4). Suppose 4*m + 38 = 5*h - 17, -4*h + m = -55. Find the common denominator of 370/h*3/r and -21/4.
4
Suppose 4*o + 192 = 10*o. Calculate the smallest common multiple of o and 30/(-4)*(-19)/((-114)/(-16)).
160
Let x = 6909 - 518159/75. What is the common denominator of x and -59/906?
22650
Find the common denominator of 1668/(-32) - 10584/(-252) and (2/(-1120))/(2/(-375)).
224
Let r = 324 - 296. What is the lowest common multiple of r and (-2)/4 - ((-462)/12 + 6)?
224
Let l = 16573 - 150325/9. Let m = l - -22289/180. Calculate the common denominator of m and 27/46.
460
Let r(k) = 110*k - 465. What is the least common multiple of 135 and r(5)?
2295
What is the smallest common multiple of 140 and (6/(-15))/((-58)/8700)?
420
Let b = -6/5897 - -654831/259468. Let l = 10042 + -200799/20. Find the common denominator of b and l.
220
Suppose 3*q - 93 - 84 = -15. Suppose 2*c + 10 = 4*c. What is the common denominator of -19/4 and q/56 - c/10*-4?
28
Let v be (3475/(-1335) - -3) + (-1)/(-3). Let x = -164126442001/1602 - -102450957. Let l = x - v. Find the common denominator of 79/21 and l.
126
Let y(t) be the second derivative of t**5/20 + t**4/2 - 3*t**3/2 - 4*t**2 - 3*t. Calculate the least common multiple of -26 - -33 - 2*-2 and y(-7).
66
Let t = 2016 + -10043/5. Let z = -121203002/546945 + -2/109389. Let a = 229 + z. Find the common denominator of t and a.
5
Let x = -522 + 528. Calculate the smallest common multiple of x and 1942.
5826
Find the common denominator of 11044/(-4840) - -5 - (-1)/(10/(-4)) and 3/((-156)/(-193)) - 2.
572
Suppose 4*o = 3*y - 0*o - 8654, 4*o = -2*y + 5776. What is the lowest common multiple of y and 24?
11544
Let g = -75431 + 12219923/162. Find the common denominator of g and 131/54.
162
Suppose -5*l - 11850 = -84*l. Calculate the least common multiple of 2100 and l.
2100
Let d(x) be the second derivative of -x**5/20 - 11*x**4/12 + 3*x**3/2 + 63*x**2/2 - 133*x. Calculate the least common multiple of 121 and d(-12).
1089
Let t be (-3)/(-101)*((-1077)/(-270) + -4). Let k = t - -11627/36360. Calculate the common denominator of -89/40 and k.
360
Find the common denominator of (-668)/835 - 1171/(-2520) and -55/39.
6552
Let h = 43 + -43. Suppose -2*s + h = -4. Find the common denominator of 1/10 and (-163